%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : MGT048+1 : TPTP v9.3.0. Released v2.4.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n012.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Tue Sep 8 06:17:26 AM UTC 2026 % Result : Theorem 7.89s 1.62s % Output : Proof 13.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.01 % Problem : MGT048+1 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.02 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.02/0.29 % Computer : n012.cluster.edu % 0.02/0.29 % Model : x86_64 x86_64 % 0.02/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.02/0.29 % Memory : 8046.5625MB % 0.02/0.29 % OS : Linux 6.8.0-71-generic % 0.02/0.29 % CPULimit : 300 % 0.02/0.29 % WCLimit : 300 % 0.02/0.29 % DateTime : Mon Sep 7 13:13:56 UTC 2026 % 0.02/0.29 % CPUTime : % 0.02/0.30 OpenJDK 64-Bit Server VM warning: Options -Xverify:none and -noverify were deprecated in JDK 13 and will likely be removed in a future release. % 0.26/0.48 ________ _____ % 0.26/0.48 ___ __ \_________(_)________________________________ % 0.26/0.48 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.26/0.48 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.26/0.48 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.26/0.48 % 0.26/0.48 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.26/0.48 (2023-06-19) % 0.26/0.48 % 0.26/0.48 (c) Philipp Rümmer, 2009-2023 % 0.26/0.48 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.26/0.48 Amanda Stjerna. % 0.26/0.48 Free software under BSD-3-Clause. % 0.26/0.48 % 0.26/0.48 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.26/0.48 % 0.26/0.48 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.26/0.49 Running up to 7 provers in parallel. % 0.26/0.50 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.26/0.50 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.26/0.50 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.26/0.50 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.26/0.50 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.26/0.50 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.26/0.50 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 1.68/0.84 Prover 4: Preprocessing ... % 1.68/0.84 Prover 1: Preprocessing ... % 1.68/0.88 Prover 2: Preprocessing ... % 1.68/0.88 Prover 6: Preprocessing ... % 1.68/0.88 Prover 5: Preprocessing ... % 1.68/0.88 Prover 3: Preprocessing ... % 1.68/0.88 Prover 0: Preprocessing ... % 4.25/1.14 Prover 6: Constructing countermodel ... % 4.25/1.14 Prover 1: Constructing countermodel ... % 4.25/1.14 Prover 3: Constructing countermodel ... % 4.25/1.18 Prover 2: Proving ... % 4.77/1.20 Prover 4: Constructing countermodel ... % 4.77/1.21 Prover 5: Proving ... % 4.77/1.25 Prover 0: Proving ... % 5.53/1.35 Prover 3: gave up % 5.53/1.35 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 5.53/1.36 Prover 6: gave up % 5.53/1.36 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 5.53/1.39 Prover 7: Preprocessing ... % 6.32/1.40 Prover 8: Preprocessing ... % 6.32/1.42 Prover 1: gave up % 6.32/1.42 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 6.32/1.45 Prover 9: Preprocessing ... % 7.13/1.52 Prover 8: Warning: ignoring some quantifiers % 7.13/1.52 Prover 7: Warning: ignoring some quantifiers % 7.13/1.52 Prover 8: Constructing countermodel ... % 7.13/1.53 Prover 7: Constructing countermodel ... % 7.89/1.61 Prover 0: proved (1121ms) % 7.89/1.62 % 7.89/1.62 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 7.89/1.62 % 7.89/1.62 Prover 2: stopped % 7.89/1.62 Prover 5: stopped % 7.89/1.63 Prover 8: gave up % 7.89/1.63 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 7.89/1.63 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 7.89/1.63 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 7.89/1.63 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 7.89/1.63 Prover 9: Constructing countermodel ... % 7.89/1.64 Prover 9: stopped % 7.89/1.64 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 7.89/1.67 Prover 10: Preprocessing ... % 7.89/1.67 Prover 13: Preprocessing ... % 7.89/1.68 Prover 11: Preprocessing ... % 7.89/1.68 Prover 19: Preprocessing ... % 8.72/1.70 Prover 16: Preprocessing ... % 8.72/1.72 Prover 13: Warning: ignoring some quantifiers % 8.72/1.73 Prover 13: Constructing countermodel ... % 8.72/1.74 Prover 10: Warning: ignoring some quantifiers % 8.72/1.75 Prover 10: Constructing countermodel ... % 8.72/1.75 Prover 19: Warning: ignoring some quantifiers % 8.72/1.76 Prover 19: Constructing countermodel ... % 8.72/1.78 Prover 16: Warning: ignoring some quantifiers % 8.72/1.79 Prover 16: Constructing countermodel ... % 9.48/1.82 Prover 11: Constructing countermodel ... % 9.48/1.86 Prover 10: gave up % 9.48/1.87 Prover 19: gave up % 11.19/2.02 Prover 16: gave up % 11.99/2.14 Prover 13: gave up % 12.54/2.20 Prover 4: Found proof (size 143) % 12.54/2.20 Prover 4: proved (1706ms) % 12.54/2.20 Prover 11: stopped % 12.54/2.20 Prover 7: stopped % 12.54/2.20 % 12.54/2.20 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 12.54/2.20 % 12.54/2.23 % SZS output start Proof for theBenchmark % 12.54/2.23 Assumptions after simplification: % 12.54/2.23 --------------------------------- % 12.54/2.23 % 12.54/2.23 (assumption_10) % 12.54/2.25 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v3 % 12.54/2.25 | ~ (stock_of_knowledge(v0, v2) = v3) | ~ (stock_of_knowledge(v0, v1) = % 12.54/2.25 v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: int] : ( ~ (v5 = 0) & % 12.54/2.25 organization(v0) = v5)) % 12.54/2.25 % 12.54/2.25 (assumption_12) % 12.54/2.26 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 12.54/2.26 int] : (v5 = 0 | ~ (internal_friction(v0, v2) = v3) | ~ % 12.54/2.26 (internal_friction(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ~ $i(v2) | % 12.54/2.26 ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: $i] : ? [v8: $i] : ? [v9: % 12.54/2.26 any] : (age(v0, v2) = v7 & age(v0, v1) = v8 & organization(v0) = v6 & % 12.54/2.26 greater(v7, v8) = v9 & $i(v8) & $i(v7) & ( ~ (v9 = 0) | ~ (v6 = 0)))) & % 12.54/2.26 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 12.54/2.26 (age(v0, v2) = v3) | ~ (age(v0, v1) = v4) | ~ (greater(v3, v4) = 0) | ~ % 12.54/2.26 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: $i] : ? [v7: $i] : % 12.54/2.26 ? [v8: any] : (internal_friction(v0, v2) = v6 & internal_friction(v0, v1) = % 12.54/2.26 v7 & organization(v0) = v5 & greater(v6, v7) = v8 & $i(v7) & $i(v6) & ( ~ % 12.54/2.26 (v5 = 0) | v8 = 0))) % 12.54/2.26 % 12.54/2.26 (assumption_5) % 12.54/2.28 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 12.54/2.28 any] : ( ~ (internal_friction(v0, v2) = v3) | ~ (internal_friction(v0, v1) % 12.54/2.28 = v4) | ~ (greater(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? % 12.54/2.28 [v6: any] : ? [v7: $i] : ? [v8: $i] : ? [v9: any] : ? [v10: any] : ? % 12.54/2.28 [v11: $i] : ? [v12: $i] : ? [v13: any] : ? [v14: any] : ? [v15: any] : % 12.54/2.28 (organization(v0) = v6 & stock_of_knowledge(v0, v2) = v7 & % 12.54/2.28 stock_of_knowledge(v0, v1) = v8 & capability(v0, v2) = v11 & % 12.54/2.28 capability(v0, v1) = v12 & greater(v11, v12) = v13 & greater(v7, v8) = v9 % 12.54/2.28 & smaller(v11, v12) = v15 & smaller_or_equal(v7, v8) = v14 & % 12.54/2.28 smaller_or_equal(v3, v4) = v10 & $i(v12) & $i(v11) & $i(v8) & $i(v7) & ( ~ % 12.54/2.28 (v6 = 0) | (( ~ (v14 = 0) | ~ (v5 = 0) | v15 = 0) & ( ~ (v10 = 0) | ~ % 12.54/2.28 (v9 = 0) | v13 = 0) & ( ~ (v8 = v7) | ~ (v4 = v3) | v12 = v11))))) % 12.54/2.28 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! % 12.54/2.28 [v5: any] : ( ~ (internal_friction(v0, v2) = v3) | ~ (internal_friction(v0, % 12.54/2.28 v1) = v4) | ~ (smaller_or_equal(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | % 12.54/2.28 ~ $i(v0) | ? [v6: any] : ? [v7: $i] : ? [v8: $i] : ? [v9: any] : ? % 12.54/2.28 [v10: $i] : ? [v11: $i] : ? [v12: any] : ? [v13: any] : ? [v14: any] : % 12.54/2.28 ? [v15: any] : (organization(v0) = v6 & stock_of_knowledge(v0, v2) = v7 & % 12.54/2.28 stock_of_knowledge(v0, v1) = v8 & capability(v0, v2) = v10 & % 12.54/2.28 capability(v0, v1) = v11 & greater(v10, v11) = v12 & greater(v7, v8) = v9 % 12.54/2.28 & greater(v3, v4) = v14 & smaller(v10, v11) = v15 & smaller_or_equal(v7, % 12.54/2.28 v8) = v13 & $i(v11) & $i(v10) & $i(v8) & $i(v7) & ( ~ (v6 = 0) | (( ~ % 12.54/2.28 (v14 = 0) | ~ (v13 = 0) | v15 = 0) & ( ~ (v9 = 0) | ~ (v5 = 0) | % 12.54/2.28 v12 = 0) & ( ~ (v8 = v7) | ~ (v4 = v3) | v11 = v10))))) & ! [v0: % 12.54/2.28 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: any] : % 12.54/2.28 ( ~ (stock_of_knowledge(v0, v2) = v3) | ~ (stock_of_knowledge(v0, v1) = v4) | % 12.54/2.28 ~ (greater(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] % 12.54/2.28 : ? [v7: $i] : ? [v8: $i] : ? [v9: any] : ? [v10: $i] : ? [v11: $i] : % 12.54/2.28 ? [v12: any] : ? [v13: any] : ? [v14: any] : ? [v15: any] : % 12.54/2.28 (internal_friction(v0, v2) = v7 & internal_friction(v0, v1) = v8 & % 12.54/2.28 organization(v0) = v6 & capability(v0, v2) = v10 & capability(v0, v1) = % 12.54/2.28 v11 & greater(v10, v11) = v12 & greater(v7, v8) = v14 & smaller(v10, v11) % 12.54/2.28 = v15 & smaller_or_equal(v7, v8) = v9 & smaller_or_equal(v3, v4) = v13 & % 12.54/2.28 $i(v11) & $i(v10) & $i(v8) & $i(v7) & ( ~ (v6 = 0) | (( ~ (v14 = 0) | ~ % 12.54/2.28 (v13 = 0) | v15 = 0) & ( ~ (v9 = 0) | ~ (v5 = 0) | v12 = 0) & ( ~ % 12.54/2.28 (v8 = v7) | ~ (v4 = v3) | v11 = v10))))) & ! [v0: $i] : ! [v1: % 12.54/2.28 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: any] : ( ~ % 12.54/2.28 (stock_of_knowledge(v0, v2) = v3) | ~ (stock_of_knowledge(v0, v1) = v4) | % 12.54/2.28 ~ (smaller_or_equal(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? % 12.54/2.29 [v6: any] : ? [v7: any] : ? [v8: $i] : ? [v9: $i] : ? [v10: any] : ? % 12.54/2.29 [v11: $i] : ? [v12: $i] : ? [v13: any] : ? [v14: any] : ? [v15: any] : % 12.54/2.29 (internal_friction(v0, v2) = v8 & internal_friction(v0, v1) = v9 & % 12.54/2.29 organization(v0) = v6 & capability(v0, v2) = v11 & capability(v0, v1) = % 12.54/2.29 v12 & greater(v11, v12) = v13 & greater(v8, v9) = v14 & greater(v3, v4) = % 12.54/2.29 v7 & smaller(v11, v12) = v15 & smaller_or_equal(v8, v9) = v10 & $i(v12) & % 12.54/2.29 $i(v11) & $i(v9) & $i(v8) & ( ~ (v6 = 0) | (( ~ (v14 = 0) | ~ (v5 = 0) | % 12.54/2.29 v15 = 0) & ( ~ (v10 = 0) | ~ (v7 = 0) | v13 = 0) & ( ~ (v9 = v8) | % 12.54/2.29 ~ (v4 = v3) | v12 = v11))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 12.54/2.29 $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: any] : ( ~ (capability(v0, v2) = % 12.54/2.29 v3) | ~ (capability(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ~ $i(v2) % 12.54/2.29 | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: $i] : ? [v8: $i] : ? [v9: % 12.54/2.29 any] : ? [v10: $i] : ? [v11: $i] : ? [v12: any] : ? [v13: any] : ? % 12.54/2.29 [v14: any] : ? [v15: any] : (internal_friction(v0, v2) = v10 & % 12.54/2.29 internal_friction(v0, v1) = v11 & organization(v0) = v6 & % 12.54/2.29 stock_of_knowledge(v0, v2) = v7 & stock_of_knowledge(v0, v1) = v8 & % 12.54/2.29 greater(v10, v11) = v14 & greater(v7, v8) = v9 & smaller(v3, v4) = v15 & % 12.54/2.29 smaller_or_equal(v10, v11) = v12 & smaller_or_equal(v7, v8) = v13 & % 12.54/2.29 $i(v11) & $i(v10) & $i(v8) & $i(v7) & ( ~ (v6 = 0) | (( ~ (v14 = 0) | ~ % 12.54/2.29 (v13 = 0) | v15 = 0) & ( ~ (v12 = 0) | ~ (v9 = 0) | v5 = 0) & ( ~ % 12.54/2.29 (v11 = v10) | ~ (v8 = v7) | v4 = v3))))) & ! [v0: $i] : ! [v1: % 12.54/2.29 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: any] : ( ~ % 12.54/2.29 (capability(v0, v2) = v3) | ~ (capability(v0, v1) = v4) | ~ (smaller(v3, % 12.54/2.29 v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: % 12.54/2.29 $i] : ? [v8: $i] : ? [v9: any] : ? [v10: $i] : ? [v11: $i] : ? [v12: % 12.54/2.29 any] : ? [v13: any] : ? [v14: any] : ? [v15: any] : % 12.54/2.29 (internal_friction(v0, v2) = v10 & internal_friction(v0, v1) = v11 & % 12.54/2.29 organization(v0) = v6 & stock_of_knowledge(v0, v2) = v7 & % 12.54/2.29 stock_of_knowledge(v0, v1) = v8 & greater(v10, v11) = v15 & greater(v7, % 12.54/2.29 v8) = v9 & greater(v3, v4) = v13 & smaller_or_equal(v10, v11) = v12 & % 12.54/2.29 smaller_or_equal(v7, v8) = v14 & $i(v11) & $i(v10) & $i(v8) & $i(v7) & ( ~ % 12.54/2.29 (v6 = 0) | (( ~ (v15 = 0) | ~ (v14 = 0) | v5 = 0) & ( ~ (v12 = 0) | ~ % 12.54/2.29 (v9 = 0) | v13 = 0) & ( ~ (v11 = v10) | ~ (v8 = v7) | v4 = v3))))) % 12.54/2.29 % 12.54/2.29 (definition_smaller) % 12.54/2.29 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (greater(v1, v0) = v2) % 12.54/2.29 | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) & smaller(v0, v1) = % 12.54/2.29 v3)) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ % 12.54/2.29 (smaller(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) % 12.54/2.29 & greater(v1, v0) = v3)) & ! [v0: $i] : ! [v1: $i] : ( ~ (greater(v1, % 12.54/2.29 v0) = 0) | ~ $i(v1) | ~ $i(v0) | smaller(v0, v1) = 0) & ! [v0: $i] : % 12.54/2.29 ! [v1: $i] : ( ~ (smaller(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | greater(v1, % 12.54/2.29 v0) = 0) % 12.54/2.29 % 12.54/2.29 (definition_smaller_or_equal) % 12.54/2.29 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | v1 = v0 | ~ (smaller(v0, % 12.54/2.29 v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) & % 12.54/2.29 smaller_or_equal(v0, v1) = v3)) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] % 12.54/2.29 : (v2 = 0 | ~ (smaller_or_equal(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? % 12.54/2.29 [v3: int] : ( ~ (v3 = 0) & smaller(v0, v1) = v3)) & ! [v0: $i] : ! [v1: % 12.54/2.29 $i] : (v1 = v0 | ~ (smaller_or_equal(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | % 12.54/2.29 smaller(v0, v1) = 0) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ % 12.54/2.29 (smaller_or_equal(v0, v0) = v1) | ~ $i(v0)) & ! [v0: $i] : ! [v1: $i] : ( % 12.54/2.29 ~ (smaller(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | smaller_or_equal(v0, v1) = % 12.54/2.29 0) & ! [v0: $i] : ! [v1: MultipleValueBool] : ( ~ (smaller(v0, v0) = v1) | % 12.54/2.29 ~ $i(v0) | smaller_or_equal(v0, v0) = 0) % 12.54/2.29 % 12.54/2.29 (lemma_5) % 12.54/2.30 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: % 12.54/2.30 $i] : ? [v6: $i] : ? [v7: int] : ( ~ (v7 = 0) & age(v0, v2) = v3 & age(v0, % 12.54/2.30 v1) = v4 & organization(v0) = 0 & capability(v0, v2) = v5 & capability(v0, % 12.54/2.30 v1) = v6 & greater(v3, v4) = 0 & smaller(v5, v6) = v7 & $i(v6) & $i(v5) & % 12.54/2.30 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 12.54/2.30 % 12.54/2.30 (function-axioms) % 13.04/2.30 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (age(v3, % 13.04/2.30 v2) = v1) | ~ (age(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 13.04/2.30 $i] : ! [v3: $i] : (v1 = v0 | ~ (internal_friction(v3, v2) = v1) | ~ % 13.04/2.30 (internal_friction(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] % 13.04/2.30 : ! [v3: $i] : (v1 = v0 | ~ (stock_of_knowledge(v3, v2) = v1) | ~ % 13.04/2.30 (stock_of_knowledge(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] % 13.04/2.30 : ! [v3: $i] : (v1 = v0 | ~ (capability(v3, v2) = v1) | ~ (capability(v3, % 13.04/2.30 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 13.04/2.30 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (greater(v3, v2) = v1) | ~ % 13.04/2.30 (greater(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 13.04/2.30 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 13.04/2.30 (greater_or_equal(v3, v2) = v1) | ~ (greater_or_equal(v3, v2) = v0)) & ! % 13.04/2.30 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 13.04/2.30 $i] : (v1 = v0 | ~ (smaller(v3, v2) = v1) | ~ (smaller(v3, v2) = v0)) & ! % 13.04/2.30 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 13.04/2.30 $i] : (v1 = v0 | ~ (smaller_or_equal(v3, v2) = v1) | ~ % 13.04/2.30 (smaller_or_equal(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 13.04/2.30 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (organization(v2) = v1) | % 13.04/2.30 ~ (organization(v2) = v0)) % 13.04/2.30 % 13.04/2.30 Further assumptions not needed in the proof: % 13.04/2.30 -------------------------------------------- % 13.04/2.30 definition_greater_or_equal, meaning_postulate_greater_comparable, % 13.04/2.30 meaning_postulate_greater_strict, meaning_postulate_greater_transitive % 13.04/2.30 % 13.04/2.30 Those formulas are unsatisfiable: % 13.04/2.30 --------------------------------- % 13.04/2.30 % 13.04/2.30 Begin of proof % 13.04/2.30 | % 13.04/2.30 | ALPHA: (definition_smaller_or_equal) implies: % 13.04/2.30 | (1) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (smaller_or_equal(v0, v0) = % 13.04/2.30 | v1) | ~ $i(v0)) % 13.04/2.30 | % 13.04/2.30 | ALPHA: (definition_smaller) implies: % 13.04/2.30 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (smaller(v0, % 13.04/2.30 | v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) & % 13.04/2.30 | greater(v1, v0) = v3)) % 13.04/2.30 | % 13.04/2.30 | ALPHA: (assumption_5) implies: % 13.04/2.31 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 13.04/2.31 | ! [v5: any] : ( ~ (capability(v0, v2) = v3) | ~ (capability(v0, v1) = % 13.04/2.31 | v4) | ~ (smaller(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) % 13.04/2.31 | | ? [v6: any] : ? [v7: $i] : ? [v8: $i] : ? [v9: any] : ? [v10: % 13.04/2.31 | $i] : ? [v11: $i] : ? [v12: any] : ? [v13: any] : ? [v14: any] % 13.04/2.31 | : ? [v15: any] : (internal_friction(v0, v2) = v10 & % 13.04/2.31 | internal_friction(v0, v1) = v11 & organization(v0) = v6 & % 13.04/2.31 | stock_of_knowledge(v0, v2) = v7 & stock_of_knowledge(v0, v1) = v8 & % 13.04/2.31 | greater(v10, v11) = v15 & greater(v7, v8) = v9 & greater(v3, v4) = % 13.04/2.31 | v13 & smaller_or_equal(v10, v11) = v12 & smaller_or_equal(v7, v8) = % 13.04/2.31 | v14 & $i(v11) & $i(v10) & $i(v8) & $i(v7) & ( ~ (v6 = 0) | (( ~ % 13.04/2.31 | (v15 = 0) | ~ (v14 = 0) | v5 = 0) & ( ~ (v12 = 0) | ~ (v9 = % 13.04/2.31 | 0) | v13 = 0) & ( ~ (v11 = v10) | ~ (v8 = v7) | v4 = % 13.04/2.31 | v3))))) % 13.04/2.31 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 13.04/2.31 | ! [v5: any] : ( ~ (capability(v0, v2) = v3) | ~ (capability(v0, v1) = % 13.04/2.31 | v4) | ~ (greater(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) % 13.04/2.31 | | ? [v6: any] : ? [v7: $i] : ? [v8: $i] : ? [v9: any] : ? [v10: % 13.04/2.31 | $i] : ? [v11: $i] : ? [v12: any] : ? [v13: any] : ? [v14: any] % 13.04/2.31 | : ? [v15: any] : (internal_friction(v0, v2) = v10 & % 13.04/2.31 | internal_friction(v0, v1) = v11 & organization(v0) = v6 & % 13.04/2.31 | stock_of_knowledge(v0, v2) = v7 & stock_of_knowledge(v0, v1) = v8 & % 13.04/2.31 | greater(v10, v11) = v14 & greater(v7, v8) = v9 & smaller(v3, v4) = % 13.04/2.31 | v15 & smaller_or_equal(v10, v11) = v12 & smaller_or_equal(v7, v8) = % 13.04/2.31 | v13 & $i(v11) & $i(v10) & $i(v8) & $i(v7) & ( ~ (v6 = 0) | (( ~ % 13.04/2.31 | (v14 = 0) | ~ (v13 = 0) | v15 = 0) & ( ~ (v12 = 0) | ~ (v9 % 13.04/2.31 | = 0) | v5 = 0) & ( ~ (v11 = v10) | ~ (v8 = v7) | v4 = % 13.04/2.31 | v3))))) % 13.04/2.32 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 13.04/2.32 | ! [v5: any] : ( ~ (stock_of_knowledge(v0, v2) = v3) | ~ % 13.04/2.32 | (stock_of_knowledge(v0, v1) = v4) | ~ (smaller_or_equal(v3, v4) = % 13.04/2.32 | v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: % 13.04/2.32 | any] : ? [v8: $i] : ? [v9: $i] : ? [v10: any] : ? [v11: $i] : % 13.04/2.32 | ? [v12: $i] : ? [v13: any] : ? [v14: any] : ? [v15: any] : % 13.04/2.32 | (internal_friction(v0, v2) = v8 & internal_friction(v0, v1) = v9 & % 13.04/2.32 | organization(v0) = v6 & capability(v0, v2) = v11 & capability(v0, % 13.04/2.32 | v1) = v12 & greater(v11, v12) = v13 & greater(v8, v9) = v14 & % 13.04/2.32 | greater(v3, v4) = v7 & smaller(v11, v12) = v15 & % 13.04/2.32 | smaller_or_equal(v8, v9) = v10 & $i(v12) & $i(v11) & $i(v9) & % 13.04/2.32 | $i(v8) & ( ~ (v6 = 0) | (( ~ (v14 = 0) | ~ (v5 = 0) | v15 = 0) & ( % 13.04/2.32 | ~ (v10 = 0) | ~ (v7 = 0) | v13 = 0) & ( ~ (v9 = v8) | ~ (v4 % 13.04/2.32 | = v3) | v12 = v11))))) % 13.04/2.32 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 13.04/2.32 | ! [v5: any] : ( ~ (stock_of_knowledge(v0, v2) = v3) | ~ % 13.04/2.32 | (stock_of_knowledge(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ~ % 13.04/2.32 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: $i] : ? [v8: % 13.04/2.32 | $i] : ? [v9: any] : ? [v10: $i] : ? [v11: $i] : ? [v12: any] : % 13.04/2.32 | ? [v13: any] : ? [v14: any] : ? [v15: any] : (internal_friction(v0, % 13.04/2.32 | v2) = v7 & internal_friction(v0, v1) = v8 & organization(v0) = v6 % 13.04/2.32 | & capability(v0, v2) = v10 & capability(v0, v1) = v11 & % 13.04/2.32 | greater(v10, v11) = v12 & greater(v7, v8) = v14 & smaller(v10, v11) % 13.04/2.32 | = v15 & smaller_or_equal(v7, v8) = v9 & smaller_or_equal(v3, v4) = % 13.04/2.32 | v13 & $i(v11) & $i(v10) & $i(v8) & $i(v7) & ( ~ (v6 = 0) | (( ~ % 13.04/2.32 | (v14 = 0) | ~ (v13 = 0) | v15 = 0) & ( ~ (v9 = 0) | ~ (v5 = % 13.04/2.32 | 0) | v12 = 0) & ( ~ (v8 = v7) | ~ (v4 = v3) | v11 = % 13.04/2.32 | v10))))) % 13.04/2.32 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 13.04/2.32 | ! [v5: any] : ( ~ (internal_friction(v0, v2) = v3) | ~ % 13.04/2.32 | (internal_friction(v0, v1) = v4) | ~ (smaller_or_equal(v3, v4) = v5) % 13.04/2.32 | | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: $i] : ? % 13.04/2.32 | [v8: $i] : ? [v9: any] : ? [v10: $i] : ? [v11: $i] : ? [v12: any] % 13.04/2.32 | : ? [v13: any] : ? [v14: any] : ? [v15: any] : (organization(v0) = % 13.04/2.32 | v6 & stock_of_knowledge(v0, v2) = v7 & stock_of_knowledge(v0, v1) = % 13.04/2.32 | v8 & capability(v0, v2) = v10 & capability(v0, v1) = v11 & % 13.04/2.32 | greater(v10, v11) = v12 & greater(v7, v8) = v9 & greater(v3, v4) = % 13.04/2.32 | v14 & smaller(v10, v11) = v15 & smaller_or_equal(v7, v8) = v13 & % 13.04/2.32 | $i(v11) & $i(v10) & $i(v8) & $i(v7) & ( ~ (v6 = 0) | (( ~ (v14 = 0) % 13.04/2.32 | | ~ (v13 = 0) | v15 = 0) & ( ~ (v9 = 0) | ~ (v5 = 0) | v12 % 13.04/2.32 | = 0) & ( ~ (v8 = v7) | ~ (v4 = v3) | v11 = v10))))) % 13.04/2.33 | (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 13.04/2.33 | ! [v5: any] : ( ~ (internal_friction(v0, v2) = v3) | ~ % 13.04/2.33 | (internal_friction(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ~ % 13.04/2.33 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: $i] : ? [v8: % 13.04/2.33 | $i] : ? [v9: any] : ? [v10: any] : ? [v11: $i] : ? [v12: $i] : % 13.04/2.33 | ? [v13: any] : ? [v14: any] : ? [v15: any] : (organization(v0) = v6 % 13.04/2.33 | & stock_of_knowledge(v0, v2) = v7 & stock_of_knowledge(v0, v1) = v8 % 13.04/2.33 | & capability(v0, v2) = v11 & capability(v0, v1) = v12 & % 13.04/2.33 | greater(v11, v12) = v13 & greater(v7, v8) = v9 & smaller(v11, v12) % 13.04/2.33 | = v15 & smaller_or_equal(v7, v8) = v14 & smaller_or_equal(v3, v4) = % 13.04/2.33 | v10 & $i(v12) & $i(v11) & $i(v8) & $i(v7) & ( ~ (v6 = 0) | (( ~ % 13.04/2.33 | (v14 = 0) | ~ (v5 = 0) | v15 = 0) & ( ~ (v10 = 0) | ~ (v9 = % 13.04/2.33 | 0) | v13 = 0) & ( ~ (v8 = v7) | ~ (v4 = v3) | v12 = % 13.04/2.33 | v11))))) % 13.04/2.33 | % 13.04/2.33 | ALPHA: (assumption_12) implies: % 13.04/2.33 | (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( % 13.04/2.33 | ~ (age(v0, v2) = v3) | ~ (age(v0, v1) = v4) | ~ (greater(v3, v4) = % 13.04/2.33 | 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: $i] % 13.04/2.33 | : ? [v7: $i] : ? [v8: any] : (internal_friction(v0, v2) = v6 & % 13.04/2.33 | internal_friction(v0, v1) = v7 & organization(v0) = v5 & % 13.04/2.33 | greater(v6, v7) = v8 & $i(v7) & $i(v6) & ( ~ (v5 = 0) | v8 = 0))) % 13.04/2.33 | % 13.04/2.33 | ALPHA: (function-axioms) implies: % 13.04/2.33 | (10) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 13.04/2.33 | : (v1 = v0 | ~ (organization(v2) = v1) | ~ (organization(v2) = v0)) % 13.04/2.33 | (11) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 13.04/2.33 | : ! [v3: $i] : (v1 = v0 | ~ (smaller_or_equal(v3, v2) = v1) | ~ % 13.04/2.33 | (smaller_or_equal(v3, v2) = v0)) % 13.04/2.33 | (12) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 13.04/2.33 | : ! [v3: $i] : (v1 = v0 | ~ (greater(v3, v2) = v1) | ~ (greater(v3, % 13.04/2.33 | v2) = v0)) % 13.04/2.33 | (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 13.04/2.33 | (stock_of_knowledge(v3, v2) = v1) | ~ (stock_of_knowledge(v3, v2) = % 13.04/2.33 | v0)) % 13.04/2.33 | (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 13.04/2.33 | (internal_friction(v3, v2) = v1) | ~ (internal_friction(v3, v2) = % 13.04/2.33 | v0)) % 13.04/2.33 | % 13.04/2.33 | DELTA: instantiating (lemma_5) with fresh symbols all_12_0, all_12_1, % 13.04/2.33 | all_12_2, all_12_3, all_12_4, all_12_5, all_12_6, all_12_7 gives: % 13.04/2.33 | (15) ~ (all_12_0 = 0) & age(all_12_7, all_12_5) = all_12_4 & age(all_12_7, % 13.04/2.33 | all_12_6) = all_12_3 & organization(all_12_7) = 0 & % 13.04/2.33 | capability(all_12_7, all_12_5) = all_12_2 & capability(all_12_7, % 13.04/2.33 | all_12_6) = all_12_1 & greater(all_12_4, all_12_3) = 0 & % 13.04/2.33 | smaller(all_12_2, all_12_1) = all_12_0 & $i(all_12_1) & $i(all_12_2) & % 13.04/2.34 | $i(all_12_3) & $i(all_12_4) & $i(all_12_5) & $i(all_12_6) & % 13.04/2.34 | $i(all_12_7) % 13.04/2.34 | % 13.04/2.34 | ALPHA: (15) implies: % 13.04/2.34 | (16) ~ (all_12_0 = 0) % 13.04/2.34 | (17) $i(all_12_7) % 13.04/2.34 | (18) $i(all_12_6) % 13.04/2.34 | (19) $i(all_12_5) % 13.04/2.34 | (20) $i(all_12_2) % 13.04/2.34 | (21) $i(all_12_1) % 13.04/2.34 | (22) smaller(all_12_2, all_12_1) = all_12_0 % 13.04/2.34 | (23) greater(all_12_4, all_12_3) = 0 % 13.04/2.34 | (24) capability(all_12_7, all_12_6) = all_12_1 % 13.04/2.34 | (25) capability(all_12_7, all_12_5) = all_12_2 % 13.04/2.34 | (26) organization(all_12_7) = 0 % 13.04/2.34 | (27) age(all_12_7, all_12_6) = all_12_3 % 13.04/2.34 | (28) age(all_12_7, all_12_5) = all_12_4 % 13.04/2.34 | % 13.04/2.34 | GROUND_INST: instantiating (2) with all_12_2, all_12_1, all_12_0, simplifying % 13.04/2.34 | with (20), (21), (22) gives: % 13.04/2.34 | (29) all_12_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) & greater(all_12_1, % 13.04/2.34 | all_12_2) = v0) % 13.04/2.34 | % 13.04/2.34 | GROUND_INST: instantiating (3) with all_12_7, all_12_6, all_12_5, all_12_2, % 13.04/2.34 | all_12_1, all_12_0, simplifying with (17), (18), (19), (22), % 13.04/2.34 | (24), (25) gives: % 13.04/2.34 | (30) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: any] : ? [v4: $i] % 13.04/2.34 | : ? [v5: $i] : ? [v6: any] : ? [v7: any] : ? [v8: any] : ? [v9: % 13.04/2.34 | any] : (internal_friction(all_12_7, all_12_5) = v4 & % 13.04/2.34 | internal_friction(all_12_7, all_12_6) = v5 & organization(all_12_7) % 13.04/2.34 | = v0 & stock_of_knowledge(all_12_7, all_12_5) = v1 & % 13.04/2.34 | stock_of_knowledge(all_12_7, all_12_6) = v2 & greater(v4, v5) = v9 & % 13.04/2.34 | greater(v1, v2) = v3 & greater(all_12_2, all_12_1) = v7 & % 13.04/2.34 | smaller_or_equal(v4, v5) = v6 & smaller_or_equal(v1, v2) = v8 & % 13.04/2.34 | $i(v5) & $i(v4) & $i(v2) & $i(v1) & ( ~ (v0 = 0) | (( ~ (v9 = 0) | % 13.04/2.34 | ~ (v8 = 0) | all_12_0 = 0) & ( ~ (v6 = 0) | ~ (v3 = 0) | v7 = % 13.04/2.34 | 0) & ( ~ (v5 = v4) | ~ (v2 = v1) | all_12_1 = all_12_2)))) % 13.04/2.34 | % 13.04/2.34 | GROUND_INST: instantiating (9) with all_12_7, all_12_6, all_12_5, all_12_4, % 13.04/2.34 | all_12_3, simplifying with (17), (18), (19), (23), (27), (28) % 13.04/2.34 | gives: % 13.04/2.34 | (31) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: any] : % 13.04/2.34 | (internal_friction(all_12_7, all_12_5) = v1 & % 13.04/2.34 | internal_friction(all_12_7, all_12_6) = v2 & organization(all_12_7) % 13.04/2.34 | = v0 & greater(v1, v2) = v3 & $i(v2) & $i(v1) & ( ~ (v0 = 0) | v3 = % 13.04/2.34 | 0)) % 13.04/2.34 | % 13.04/2.34 | DELTA: instantiating (31) with fresh symbols all_22_0, all_22_1, all_22_2, % 13.04/2.34 | all_22_3 gives: % 13.04/2.34 | (32) internal_friction(all_12_7, all_12_5) = all_22_2 & % 13.04/2.34 | internal_friction(all_12_7, all_12_6) = all_22_1 & % 13.04/2.34 | organization(all_12_7) = all_22_3 & greater(all_22_2, all_22_1) = % 13.04/2.34 | all_22_0 & $i(all_22_1) & $i(all_22_2) & ( ~ (all_22_3 = 0) | all_22_0 % 13.04/2.34 | = 0) % 13.04/2.34 | % 13.04/2.34 | ALPHA: (32) implies: % 13.04/2.34 | (33) greater(all_22_2, all_22_1) = all_22_0 % 13.04/2.34 | (34) organization(all_12_7) = all_22_3 % 13.04/2.34 | (35) internal_friction(all_12_7, all_12_6) = all_22_1 % 13.04/2.34 | (36) internal_friction(all_12_7, all_12_5) = all_22_2 % 13.04/2.35 | (37) ~ (all_22_3 = 0) | all_22_0 = 0 % 13.04/2.35 | % 13.04/2.35 | DELTA: instantiating (30) with fresh symbols all_24_0, all_24_1, all_24_2, % 13.04/2.35 | all_24_3, all_24_4, all_24_5, all_24_6, all_24_7, all_24_8, all_24_9 % 13.04/2.35 | gives: % 13.04/2.35 | (38) internal_friction(all_12_7, all_12_5) = all_24_5 & % 13.04/2.35 | internal_friction(all_12_7, all_12_6) = all_24_4 & % 13.04/2.35 | organization(all_12_7) = all_24_9 & stock_of_knowledge(all_12_7, % 13.04/2.35 | all_12_5) = all_24_8 & stock_of_knowledge(all_12_7, all_12_6) = % 13.04/2.35 | all_24_7 & greater(all_24_5, all_24_4) = all_24_0 & greater(all_24_8, % 13.04/2.35 | all_24_7) = all_24_6 & greater(all_12_2, all_12_1) = all_24_2 & % 13.04/2.35 | smaller_or_equal(all_24_5, all_24_4) = all_24_3 & % 13.04/2.35 | smaller_or_equal(all_24_8, all_24_7) = all_24_1 & $i(all_24_4) & % 13.04/2.35 | $i(all_24_5) & $i(all_24_7) & $i(all_24_8) & ( ~ (all_24_9 = 0) | (( ~ % 13.04/2.35 | (all_24_0 = 0) | ~ (all_24_1 = 0) | all_12_0 = 0) & ( ~ % 13.04/2.35 | (all_24_3 = 0) | ~ (all_24_6 = 0) | all_24_2 = 0) & ( ~ % 13.04/2.35 | (all_24_4 = all_24_5) | ~ (all_24_7 = all_24_8) | all_12_1 = % 13.04/2.35 | all_12_2))) % 13.04/2.35 | % 13.04/2.35 | ALPHA: (38) implies: % 13.04/2.35 | (39) smaller_or_equal(all_24_8, all_24_7) = all_24_1 % 13.04/2.35 | (40) smaller_or_equal(all_24_5, all_24_4) = all_24_3 % 13.04/2.35 | (41) greater(all_12_2, all_12_1) = all_24_2 % 13.04/2.35 | (42) greater(all_24_8, all_24_7) = all_24_6 % 13.04/2.35 | (43) greater(all_24_5, all_24_4) = all_24_0 % 13.04/2.35 | (44) stock_of_knowledge(all_12_7, all_12_6) = all_24_7 % 13.04/2.35 | (45) stock_of_knowledge(all_12_7, all_12_5) = all_24_8 % 13.04/2.35 | (46) organization(all_12_7) = all_24_9 % 13.04/2.35 | (47) internal_friction(all_12_7, all_12_6) = all_24_4 % 13.04/2.35 | (48) internal_friction(all_12_7, all_12_5) = all_24_5 % 13.04/2.35 | (49) ~ (all_24_9 = 0) | (( ~ (all_24_0 = 0) | ~ (all_24_1 = 0) | all_12_0 % 13.04/2.35 | = 0) & ( ~ (all_24_3 = 0) | ~ (all_24_6 = 0) | all_24_2 = 0) & ( % 13.04/2.35 | ~ (all_24_4 = all_24_5) | ~ (all_24_7 = all_24_8) | all_12_1 = % 13.04/2.35 | all_12_2)) % 13.04/2.35 | % 13.04/2.35 | BETA: splitting (29) gives: % 13.04/2.35 | % 13.04/2.35 | Case 1: % 13.04/2.35 | | % 13.04/2.35 | | (50) all_12_0 = 0 % 13.04/2.35 | | % 13.04/2.35 | | REDUCE: (16), (50) imply: % 13.04/2.35 | | (51) $false % 13.04/2.35 | | % 13.04/2.35 | | CLOSE: (51) is inconsistent. % 13.04/2.35 | | % 13.04/2.35 | Case 2: % 13.04/2.35 | | % 13.04/2.35 | | (52) ? [v0: int] : ( ~ (v0 = 0) & greater(all_12_1, all_12_2) = v0) % 13.04/2.35 | | % 13.04/2.35 | | DELTA: instantiating (52) with fresh symbol all_30_0 gives: % 13.04/2.35 | | (53) ~ (all_30_0 = 0) & greater(all_12_1, all_12_2) = all_30_0 % 13.04/2.35 | | % 13.04/2.35 | | ALPHA: (53) implies: % 13.04/2.35 | | (54) greater(all_12_1, all_12_2) = all_30_0 % 13.04/2.35 | | % 13.04/2.35 | | GROUND_INST: instantiating (10) with 0, all_24_9, all_12_7, simplifying with % 13.04/2.35 | | (26), (46) gives: % 13.04/2.35 | | (55) all_24_9 = 0 % 13.04/2.35 | | % 13.04/2.35 | | GROUND_INST: instantiating (10) with all_22_3, all_24_9, all_12_7, % 13.04/2.35 | | simplifying with (34), (46) gives: % 13.04/2.35 | | (56) all_24_9 = all_22_3 % 13.04/2.35 | | % 13.04/2.35 | | GROUND_INST: instantiating (14) with all_22_1, all_24_4, all_12_6, all_12_7, % 13.04/2.35 | | simplifying with (35), (47) gives: % 13.04/2.35 | | (57) all_24_4 = all_22_1 % 13.04/2.35 | | % 13.04/2.35 | | GROUND_INST: instantiating (14) with all_22_2, all_24_5, all_12_5, all_12_7, % 13.04/2.35 | | simplifying with (36), (48) gives: % 13.04/2.35 | | (58) all_24_5 = all_22_2 % 13.04/2.35 | | % 13.04/2.35 | | COMBINE_EQS: (55), (56) imply: % 13.04/2.35 | | (59) all_22_3 = 0 % 13.04/2.35 | | % 13.04/2.35 | | SIMP: (59) implies: % 13.04/2.35 | | (60) all_22_3 = 0 % 13.04/2.35 | | % 13.04/2.35 | | REDUCE: (43), (57), (58) imply: % 13.04/2.35 | | (61) greater(all_22_2, all_22_1) = all_24_0 % 13.04/2.35 | | % 13.04/2.36 | | REDUCE: (40), (57), (58) imply: % 13.04/2.36 | | (62) smaller_or_equal(all_22_2, all_22_1) = all_24_3 % 13.04/2.36 | | % 13.04/2.36 | | BETA: splitting (37) gives: % 13.04/2.36 | | % 13.04/2.36 | | Case 1: % 13.04/2.36 | | | % 13.04/2.36 | | | (63) ~ (all_22_3 = 0) % 13.04/2.36 | | | % 13.04/2.36 | | | REDUCE: (60), (63) imply: % 13.04/2.36 | | | (64) $false % 13.04/2.36 | | | % 13.04/2.36 | | | CLOSE: (64) is inconsistent. % 13.04/2.36 | | | % 13.04/2.36 | | Case 2: % 13.04/2.36 | | | % 13.04/2.36 | | | (65) all_22_0 = 0 % 13.04/2.36 | | | % 13.04/2.36 | | | REDUCE: (33), (65) imply: % 13.04/2.36 | | | (66) greater(all_22_2, all_22_1) = 0 % 13.04/2.36 | | | % 13.04/2.36 | | | GROUND_INST: instantiating (12) with 0, all_24_0, all_22_1, all_22_2, % 13.04/2.36 | | | simplifying with (61), (66) gives: % 13.04/2.36 | | | (67) all_24_0 = 0 % 13.04/2.36 | | | % 13.04/2.36 | | | BETA: splitting (49) gives: % 13.04/2.36 | | | % 13.04/2.36 | | | Case 1: % 13.04/2.36 | | | | % 13.04/2.36 | | | | (68) ~ (all_24_9 = 0) % 13.04/2.36 | | | | % 13.04/2.36 | | | | REDUCE: (55), (68) imply: % 13.04/2.36 | | | | (69) $false % 13.04/2.36 | | | | % 13.04/2.36 | | | | CLOSE: (69) is inconsistent. % 13.04/2.36 | | | | % 13.04/2.36 | | | Case 2: % 13.04/2.36 | | | | % 13.04/2.36 | | | | (70) ( ~ (all_24_0 = 0) | ~ (all_24_1 = 0) | all_12_0 = 0) & ( ~ % 13.04/2.36 | | | | (all_24_3 = 0) | ~ (all_24_6 = 0) | all_24_2 = 0) & ( ~ % 13.04/2.36 | | | | (all_24_4 = all_24_5) | ~ (all_24_7 = all_24_8) | all_12_1 = % 13.04/2.36 | | | | all_12_2) % 13.04/2.36 | | | | % 13.04/2.36 | | | | ALPHA: (70) implies: % 13.04/2.36 | | | | (71) ~ (all_24_0 = 0) | ~ (all_24_1 = 0) | all_12_0 = 0 % 13.04/2.36 | | | | % 13.04/2.36 | | | | BETA: splitting (71) gives: % 13.04/2.36 | | | | % 13.04/2.36 | | | | Case 1: % 13.04/2.36 | | | | | % 13.04/2.36 | | | | | (72) ~ (all_24_0 = 0) % 13.04/2.36 | | | | | % 13.04/2.36 | | | | | REDUCE: (67), (72) imply: % 13.04/2.36 | | | | | (73) $false % 13.04/2.36 | | | | | % 13.04/2.36 | | | | | CLOSE: (73) is inconsistent. % 13.04/2.36 | | | | | % 13.04/2.36 | | | | Case 2: % 13.04/2.36 | | | | | % 13.04/2.36 | | | | | (74) ~ (all_24_1 = 0) | all_12_0 = 0 % 13.04/2.36 | | | | | % 13.04/2.36 | | | | | BETA: splitting (74) gives: % 13.04/2.36 | | | | | % 13.04/2.36 | | | | | Case 1: % 13.04/2.36 | | | | | | % 13.04/2.36 | | | | | | (75) ~ (all_24_1 = 0) % 13.04/2.36 | | | | | | % 13.04/2.36 | | | | | | GROUND_INST: instantiating (4) with all_12_7, all_12_6, all_12_5, % 13.04/2.36 | | | | | | all_12_2, all_12_1, all_24_2, simplifying with (17), % 13.04/2.36 | | | | | | (18), (19), (24), (25), (41) gives: % 13.04/2.36 | | | | | | (76) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: any] : ? % 13.04/2.36 | | | | | | [v4: $i] : ? [v5: $i] : ? [v6: any] : ? [v7: any] : ? % 13.04/2.36 | | | | | | [v8: any] : ? [v9: any] : (internal_friction(all_12_7, % 13.04/2.36 | | | | | | all_12_5) = v4 & internal_friction(all_12_7, all_12_6) = % 13.04/2.36 | | | | | | v5 & organization(all_12_7) = v0 & % 13.04/2.36 | | | | | | stock_of_knowledge(all_12_7, all_12_5) = v1 & % 13.04/2.36 | | | | | | stock_of_knowledge(all_12_7, all_12_6) = v2 & greater(v4, % 13.04/2.36 | | | | | | v5) = v8 & greater(v1, v2) = v3 & smaller(all_12_2, % 13.04/2.36 | | | | | | all_12_1) = v9 & smaller_or_equal(v4, v5) = v6 & % 13.04/2.36 | | | | | | smaller_or_equal(v1, v2) = v7 & $i(v5) & $i(v4) & $i(v2) & % 13.04/2.36 | | | | | | $i(v1) & ( ~ (v0 = 0) | (( ~ (v8 = 0) | ~ (v7 = 0) | v9 = % 13.04/2.36 | | | | | | 0) & ( ~ (v6 = 0) | ~ (v3 = 0) | all_24_2 = 0) & ( % 13.04/2.36 | | | | | | ~ (v5 = v4) | ~ (v2 = v1) | all_12_1 = all_12_2)))) % 13.04/2.36 | | | | | | % 13.04/2.36 | | | | | | GROUND_INST: instantiating (4) with all_12_7, all_12_5, all_12_6, % 13.04/2.36 | | | | | | all_12_1, all_12_2, all_30_0, simplifying with (17), % 13.04/2.36 | | | | | | (18), (19), (24), (25), (54) gives: % 13.04/2.36 | | | | | | (77) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: any] : ? % 13.04/2.36 | | | | | | [v4: $i] : ? [v5: $i] : ? [v6: any] : ? [v7: any] : ? % 13.04/2.36 | | | | | | [v8: any] : ? [v9: any] : (internal_friction(all_12_7, % 13.04/2.36 | | | | | | all_12_5) = v5 & internal_friction(all_12_7, all_12_6) = % 13.04/2.36 | | | | | | v4 & organization(all_12_7) = v0 & % 13.04/2.36 | | | | | | stock_of_knowledge(all_12_7, all_12_5) = v2 & % 13.04/2.36 | | | | | | stock_of_knowledge(all_12_7, all_12_6) = v1 & greater(v4, % 13.04/2.36 | | | | | | v5) = v8 & greater(v1, v2) = v3 & smaller(all_12_1, % 13.04/2.36 | | | | | | all_12_2) = v9 & smaller_or_equal(v4, v5) = v6 & % 13.04/2.36 | | | | | | smaller_or_equal(v1, v2) = v7 & $i(v5) & $i(v4) & $i(v2) & % 13.04/2.36 | | | | | | $i(v1) & ( ~ (v0 = 0) | (( ~ (v8 = 0) | ~ (v7 = 0) | v9 = % 13.04/2.36 | | | | | | 0) & ( ~ (v6 = 0) | ~ (v3 = 0) | all_30_0 = 0) & ( % 13.04/2.37 | | | | | | ~ (v5 = v4) | ~ (v2 = v1) | all_12_1 = all_12_2)))) % 13.04/2.37 | | | | | | % 13.04/2.37 | | | | | | GROUND_INST: instantiating (6) with all_12_7, all_12_6, all_12_5, % 13.04/2.37 | | | | | | all_24_8, all_24_7, all_24_6, simplifying with (17), % 13.04/2.37 | | | | | | (18), (19), (42), (44), (45) gives: % 13.04/2.37 | | | | | | (78) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: any] : ? % 13.04/2.37 | | | | | | [v4: $i] : ? [v5: $i] : ? [v6: any] : ? [v7: any] : ? % 13.04/2.37 | | | | | | [v8: any] : ? [v9: any] : (internal_friction(all_12_7, % 13.04/2.37 | | | | | | all_12_5) = v1 & internal_friction(all_12_7, all_12_6) = % 13.04/2.37 | | | | | | v2 & organization(all_12_7) = v0 & capability(all_12_7, % 13.04/2.37 | | | | | | all_12_5) = v4 & capability(all_12_7, all_12_6) = v5 & % 13.04/2.37 | | | | | | greater(v4, v5) = v6 & greater(v1, v2) = v8 & smaller(v4, % 13.04/2.37 | | | | | | v5) = v9 & smaller_or_equal(v1, v2) = v3 & % 13.04/2.37 | | | | | | smaller_or_equal(all_24_8, all_24_7) = v7 & $i(v5) & % 13.04/2.37 | | | | | | $i(v4) & $i(v2) & $i(v1) & ( ~ (v0 = 0) | (( ~ (v8 = 0) | % 13.04/2.37 | | | | | | ~ (v7 = 0) | v9 = 0) & ( ~ (v3 = 0) | ~ (all_24_6 = % 13.04/2.37 | | | | | | 0) | v6 = 0) & ( ~ (v2 = v1) | ~ (all_24_7 = % 13.04/2.37 | | | | | | all_24_8) | v5 = v4)))) % 13.04/2.37 | | | | | | % 13.04/2.37 | | | | | | GROUND_INST: instantiating (5) with all_12_7, all_12_6, all_12_5, % 13.04/2.37 | | | | | | all_24_8, all_24_7, all_24_1, simplifying with (17), % 13.04/2.37 | | | | | | (18), (19), (39), (44), (45) gives: % 13.04/2.37 | | | | | | (79) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: $i] : ? % 13.04/2.37 | | | | | | [v4: any] : ? [v5: $i] : ? [v6: $i] : ? [v7: any] : ? % 13.04/2.37 | | | | | | [v8: any] : ? [v9: any] : (internal_friction(all_12_7, % 13.04/2.37 | | | | | | all_12_5) = v2 & internal_friction(all_12_7, all_12_6) = % 13.04/2.37 | | | | | | v3 & organization(all_12_7) = v0 & capability(all_12_7, % 13.04/2.37 | | | | | | all_12_5) = v5 & capability(all_12_7, all_12_6) = v6 & % 13.04/2.37 | | | | | | greater(v5, v6) = v7 & greater(v2, v3) = v8 & % 13.04/2.37 | | | | | | greater(all_24_8, all_24_7) = v1 & smaller(v5, v6) = v9 & % 13.04/2.37 | | | | | | smaller_or_equal(v2, v3) = v4 & $i(v6) & $i(v5) & $i(v3) & % 13.04/2.37 | | | | | | $i(v2) & ( ~ (v0 = 0) | (( ~ (v8 = 0) | ~ (all_24_1 = 0) % 13.04/2.37 | | | | | | | v9 = 0) & ( ~ (v4 = 0) | ~ (v1 = 0) | v7 = 0) & ( % 13.04/2.37 | | | | | | ~ (v3 = v2) | ~ (all_24_7 = all_24_8) | v6 = v5)))) % 13.04/2.37 | | | | | | % 13.04/2.37 | | | | | | GROUND_INST: instantiating (assumption_10) with all_12_7, all_12_6, % 13.04/2.37 | | | | | | all_12_5, all_24_8, all_24_7, simplifying with (17), % 13.04/2.37 | | | | | | (18), (19), (44), (45) gives: % 13.04/2.37 | | | | | | (80) all_24_7 = all_24_8 | ? [v0: int] : ( ~ (v0 = 0) & % 13.04/2.37 | | | | | | organization(all_12_7) = v0) % 13.04/2.37 | | | | | | % 13.04/2.37 | | | | | | GROUND_INST: instantiating (8) with all_12_7, all_12_6, all_12_5, % 13.04/2.37 | | | | | | all_22_2, all_22_1, 0, simplifying with (17), (18), % 13.04/2.37 | | | | | | (19), (35), (36), (66) gives: % 13.04/2.37 | | | | | | (81) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: any] : ? % 13.04/2.37 | | | | | | [v4: any] : ? [v5: $i] : ? [v6: $i] : ? [v7: any] : ? % 13.04/2.37 | | | | | | [v8: any] : ? [v9: any] : (organization(all_12_7) = v0 & % 13.04/2.37 | | | | | | stock_of_knowledge(all_12_7, all_12_5) = v1 & % 13.04/2.37 | | | | | | stock_of_knowledge(all_12_7, all_12_6) = v2 & % 13.04/2.37 | | | | | | capability(all_12_7, all_12_5) = v5 & capability(all_12_7, % 13.04/2.37 | | | | | | all_12_6) = v6 & greater(v5, v6) = v7 & greater(v1, v2) % 13.04/2.37 | | | | | | = v3 & smaller(v5, v6) = v9 & smaller_or_equal(v1, v2) = % 13.04/2.37 | | | | | | v8 & smaller_or_equal(all_22_2, all_22_1) = v4 & $i(v6) & % 13.04/2.37 | | | | | | $i(v5) & $i(v2) & $i(v1) & ( ~ (v0 = 0) | (( ~ (v8 = 0) | % 13.04/2.37 | | | | | | v9 = 0) & ( ~ (v4 = 0) | ~ (v3 = 0) | v7 = 0) & ( ~ % 13.04/2.37 | | | | | | (v2 = v1) | ~ (all_22_1 = all_22_2) | v6 = v5)))) % 13.04/2.37 | | | | | | % 13.04/2.37 | | | | | | GROUND_INST: instantiating (7) with all_12_7, all_12_6, all_12_5, % 13.04/2.37 | | | | | | all_22_2, all_22_1, all_24_3, simplifying with (17), % 13.04/2.37 | | | | | | (18), (19), (35), (36), (62) gives: % 13.04/2.38 | | | | | | (82) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: any] : ? % 13.04/2.38 | | | | | | [v4: $i] : ? [v5: $i] : ? [v6: any] : ? [v7: any] : ? % 13.04/2.38 | | | | | | [v8: any] : ? [v9: any] : (organization(all_12_7) = v0 & % 13.04/2.38 | | | | | | stock_of_knowledge(all_12_7, all_12_5) = v1 & % 13.04/2.38 | | | | | | stock_of_knowledge(all_12_7, all_12_6) = v2 & % 13.04/2.38 | | | | | | capability(all_12_7, all_12_5) = v4 & capability(all_12_7, % 13.04/2.38 | | | | | | all_12_6) = v5 & greater(v4, v5) = v6 & greater(v1, v2) % 13.04/2.38 | | | | | | = v3 & greater(all_22_2, all_22_1) = v8 & smaller(v4, v5) % 13.04/2.38 | | | | | | = v9 & smaller_or_equal(v1, v2) = v7 & $i(v5) & $i(v4) & % 13.04/2.38 | | | | | | $i(v2) & $i(v1) & ( ~ (v0 = 0) | (( ~ (v8 = 0) | ~ (v7 = % 13.04/2.38 | | | | | | 0) | v9 = 0) & ( ~ (v3 = 0) | ~ (all_24_3 = 0) | % 13.04/2.38 | | | | | | v6 = 0) & ( ~ (v2 = v1) | ~ (all_22_1 = all_22_2) | % 13.04/2.38 | | | | | | v5 = v4)))) % 13.04/2.38 | | | | | | % 13.04/2.38 | | | | | | DELTA: instantiating (81) with fresh symbols all_64_0, all_64_1, % 13.04/2.38 | | | | | | all_64_2, all_64_3, all_64_4, all_64_5, all_64_6, all_64_7, % 13.04/2.38 | | | | | | all_64_8, all_64_9 gives: % 13.04/2.38 | | | | | | (83) organization(all_12_7) = all_64_9 & % 13.04/2.38 | | | | | | stock_of_knowledge(all_12_7, all_12_5) = all_64_8 & % 13.04/2.38 | | | | | | stock_of_knowledge(all_12_7, all_12_6) = all_64_7 & % 13.04/2.38 | | | | | | capability(all_12_7, all_12_5) = all_64_4 & % 13.04/2.38 | | | | | | capability(all_12_7, all_12_6) = all_64_3 & % 13.04/2.38 | | | | | | greater(all_64_4, all_64_3) = all_64_2 & greater(all_64_8, % 13.04/2.38 | | | | | | all_64_7) = all_64_6 & smaller(all_64_4, all_64_3) = % 13.04/2.38 | | | | | | all_64_0 & smaller_or_equal(all_64_8, all_64_7) = all_64_1 & % 13.04/2.38 | | | | | | smaller_or_equal(all_22_2, all_22_1) = all_64_5 & % 13.04/2.38 | | | | | | $i(all_64_3) & $i(all_64_4) & $i(all_64_7) & $i(all_64_8) & % 13.04/2.38 | | | | | | ( ~ (all_64_9 = 0) | (( ~ (all_64_1 = 0) | all_64_0 = 0) & ( % 13.04/2.38 | | | | | | ~ (all_64_5 = 0) | ~ (all_64_6 = 0) | all_64_2 = 0) & % 13.04/2.38 | | | | | | ( ~ (all_64_7 = all_64_8) | ~ (all_22_1 = all_22_2) | % 13.04/2.38 | | | | | | all_64_3 = all_64_4))) % 13.04/2.38 | | | | | | % 13.04/2.38 | | | | | | ALPHA: (83) implies: % 13.04/2.38 | | | | | | (84) $i(all_64_7) % 13.04/2.38 | | | | | | (85) smaller_or_equal(all_64_8, all_64_7) = all_64_1 % 13.04/2.38 | | | | | | (86) stock_of_knowledge(all_12_7, all_12_6) = all_64_7 % 13.04/2.38 | | | | | | (87) stock_of_knowledge(all_12_7, all_12_5) = all_64_8 % 13.04/2.38 | | | | | | (88) organization(all_12_7) = all_64_9 % 13.04/2.38 | | | | | | % 13.04/2.38 | | | | | | DELTA: instantiating (77) with fresh symbols all_66_0, all_66_1, % 13.04/2.38 | | | | | | all_66_2, all_66_3, all_66_4, all_66_5, all_66_6, all_66_7, % 13.04/2.38 | | | | | | all_66_8, all_66_9 gives: % 13.04/2.38 | | | | | | (89) internal_friction(all_12_7, all_12_5) = all_66_4 & % 13.04/2.38 | | | | | | internal_friction(all_12_7, all_12_6) = all_66_5 & % 13.04/2.38 | | | | | | organization(all_12_7) = all_66_9 & % 13.04/2.38 | | | | | | stock_of_knowledge(all_12_7, all_12_5) = all_66_7 & % 13.04/2.38 | | | | | | stock_of_knowledge(all_12_7, all_12_6) = all_66_8 & % 13.04/2.38 | | | | | | greater(all_66_5, all_66_4) = all_66_1 & greater(all_66_8, % 13.04/2.38 | | | | | | all_66_7) = all_66_6 & smaller(all_12_1, all_12_2) = % 13.04/2.38 | | | | | | all_66_0 & smaller_or_equal(all_66_5, all_66_4) = all_66_3 & % 13.04/2.38 | | | | | | smaller_or_equal(all_66_8, all_66_7) = all_66_2 & % 13.04/2.38 | | | | | | $i(all_66_4) & $i(all_66_5) & $i(all_66_7) & $i(all_66_8) & % 13.04/2.38 | | | | | | ( ~ (all_66_9 = 0) | (( ~ (all_66_1 = 0) | ~ (all_66_2 = 0) % 13.04/2.38 | | | | | | | all_66_0 = 0) & ( ~ (all_66_3 = 0) | ~ (all_66_6 = % 13.04/2.38 | | | | | | 0) | all_30_0 = 0) & ( ~ (all_66_4 = all_66_5) | ~ % 13.04/2.38 | | | | | | (all_66_7 = all_66_8) | all_12_1 = all_12_2))) % 13.04/2.38 | | | | | | % 13.04/2.38 | | | | | | ALPHA: (89) implies: % 13.04/2.38 | | | | | | (90) smaller_or_equal(all_66_8, all_66_7) = all_66_2 % 13.04/2.38 | | | | | | (91) stock_of_knowledge(all_12_7, all_12_6) = all_66_8 % 13.04/2.38 | | | | | | (92) stock_of_knowledge(all_12_7, all_12_5) = all_66_7 % 13.04/2.38 | | | | | | (93) organization(all_12_7) = all_66_9 % 13.04/2.38 | | | | | | % 13.04/2.38 | | | | | | DELTA: instantiating (76) with fresh symbols all_68_0, all_68_1, % 13.04/2.38 | | | | | | all_68_2, all_68_3, all_68_4, all_68_5, all_68_6, all_68_7, % 13.04/2.38 | | | | | | all_68_8, all_68_9 gives: % 13.04/2.38 | | | | | | (94) internal_friction(all_12_7, all_12_5) = all_68_5 & % 13.04/2.38 | | | | | | internal_friction(all_12_7, all_12_6) = all_68_4 & % 13.04/2.38 | | | | | | organization(all_12_7) = all_68_9 & % 13.04/2.38 | | | | | | stock_of_knowledge(all_12_7, all_12_5) = all_68_8 & % 13.04/2.38 | | | | | | stock_of_knowledge(all_12_7, all_12_6) = all_68_7 & % 13.04/2.38 | | | | | | greater(all_68_5, all_68_4) = all_68_1 & greater(all_68_8, % 13.04/2.38 | | | | | | all_68_7) = all_68_6 & smaller(all_12_2, all_12_1) = % 13.04/2.38 | | | | | | all_68_0 & smaller_or_equal(all_68_5, all_68_4) = all_68_3 & % 13.04/2.38 | | | | | | smaller_or_equal(all_68_8, all_68_7) = all_68_2 & % 13.04/2.38 | | | | | | $i(all_68_4) & $i(all_68_5) & $i(all_68_7) & $i(all_68_8) & % 13.04/2.38 | | | | | | ( ~ (all_68_9 = 0) | (( ~ (all_68_1 = 0) | ~ (all_68_2 = 0) % 13.04/2.38 | | | | | | | all_68_0 = 0) & ( ~ (all_68_3 = 0) | ~ (all_68_6 = % 13.04/2.38 | | | | | | 0) | all_24_2 = 0) & ( ~ (all_68_4 = all_68_5) | ~ % 13.04/2.38 | | | | | | (all_68_7 = all_68_8) | all_12_1 = all_12_2))) % 13.04/2.38 | | | | | | % 13.04/2.38 | | | | | | ALPHA: (94) implies: % 13.04/2.38 | | | | | | (95) smaller_or_equal(all_68_8, all_68_7) = all_68_2 % 13.04/2.38 | | | | | | (96) stock_of_knowledge(all_12_7, all_12_6) = all_68_7 % 13.04/2.38 | | | | | | (97) stock_of_knowledge(all_12_7, all_12_5) = all_68_8 % 13.04/2.38 | | | | | | (98) organization(all_12_7) = all_68_9 % 13.04/2.38 | | | | | | % 13.04/2.38 | | | | | | DELTA: instantiating (82) with fresh symbols all_70_0, all_70_1, % 13.04/2.38 | | | | | | all_70_2, all_70_3, all_70_4, all_70_5, all_70_6, all_70_7, % 13.04/2.38 | | | | | | all_70_8, all_70_9 gives: % 13.04/2.39 | | | | | | (99) organization(all_12_7) = all_70_9 & % 13.04/2.39 | | | | | | stock_of_knowledge(all_12_7, all_12_5) = all_70_8 & % 13.04/2.39 | | | | | | stock_of_knowledge(all_12_7, all_12_6) = all_70_7 & % 13.04/2.39 | | | | | | capability(all_12_7, all_12_5) = all_70_5 & % 13.04/2.39 | | | | | | capability(all_12_7, all_12_6) = all_70_4 & % 13.04/2.39 | | | | | | greater(all_70_5, all_70_4) = all_70_3 & greater(all_70_8, % 13.04/2.39 | | | | | | all_70_7) = all_70_6 & greater(all_22_2, all_22_1) = % 13.04/2.39 | | | | | | all_70_1 & smaller(all_70_5, all_70_4) = all_70_0 & % 13.04/2.39 | | | | | | smaller_or_equal(all_70_8, all_70_7) = all_70_2 & % 13.04/2.39 | | | | | | $i(all_70_4) & $i(all_70_5) & $i(all_70_7) & $i(all_70_8) & % 13.04/2.39 | | | | | | ( ~ (all_70_9 = 0) | (( ~ (all_70_1 = 0) | ~ (all_70_2 = 0) % 13.04/2.39 | | | | | | | all_70_0 = 0) & ( ~ (all_70_6 = 0) | ~ (all_24_3 = % 13.04/2.39 | | | | | | 0) | all_70_3 = 0) & ( ~ (all_70_7 = all_70_8) | ~ % 13.04/2.39 | | | | | | (all_22_1 = all_22_2) | all_70_4 = all_70_5))) % 13.04/2.39 | | | | | | % 13.04/2.39 | | | | | | ALPHA: (99) implies: % 13.04/2.39 | | | | | | (100) smaller_or_equal(all_70_8, all_70_7) = all_70_2 % 13.04/2.39 | | | | | | (101) stock_of_knowledge(all_12_7, all_12_6) = all_70_7 % 13.04/2.39 | | | | | | (102) stock_of_knowledge(all_12_7, all_12_5) = all_70_8 % 13.04/2.39 | | | | | | (103) organization(all_12_7) = all_70_9 % 13.04/2.39 | | | | | | % 13.04/2.39 | | | | | | DELTA: instantiating (79) with fresh symbols all_72_0, all_72_1, % 13.04/2.39 | | | | | | all_72_2, all_72_3, all_72_4, all_72_5, all_72_6, all_72_7, % 13.04/2.39 | | | | | | all_72_8, all_72_9 gives: % 13.04/2.39 | | | | | | (104) internal_friction(all_12_7, all_12_5) = all_72_7 & % 13.04/2.39 | | | | | | internal_friction(all_12_7, all_12_6) = all_72_6 & % 13.04/2.39 | | | | | | organization(all_12_7) = all_72_9 & capability(all_12_7, % 13.04/2.39 | | | | | | all_12_5) = all_72_4 & capability(all_12_7, all_12_6) = % 13.04/2.39 | | | | | | all_72_3 & greater(all_72_4, all_72_3) = all_72_2 & % 13.04/2.39 | | | | | | greater(all_72_7, all_72_6) = all_72_1 & greater(all_24_8, % 13.04/2.39 | | | | | | all_24_7) = all_72_8 & smaller(all_72_4, all_72_3) = % 13.04/2.39 | | | | | | all_72_0 & smaller_or_equal(all_72_7, all_72_6) = all_72_5 % 13.04/2.39 | | | | | | & $i(all_72_3) & $i(all_72_4) & $i(all_72_6) & $i(all_72_7) % 13.04/2.39 | | | | | | & ( ~ (all_72_9 = 0) | (( ~ (all_72_1 = 0) | ~ (all_24_1 = % 13.04/2.39 | | | | | | 0) | all_72_0 = 0) & ( ~ (all_72_5 = 0) | ~ % 13.04/2.39 | | | | | | (all_72_8 = 0) | all_72_2 = 0) & ( ~ (all_72_6 = % 13.04/2.39 | | | | | | all_72_7) | ~ (all_24_7 = all_24_8) | all_72_3 = % 13.04/2.39 | | | | | | all_72_4))) % 13.04/2.39 | | | | | | % 13.04/2.39 | | | | | | ALPHA: (104) implies: % 13.04/2.39 | | | | | | (105) organization(all_12_7) = all_72_9 % 13.04/2.39 | | | | | | % 13.04/2.39 | | | | | | DELTA: instantiating (78) with fresh symbols all_74_0, all_74_1, % 13.04/2.39 | | | | | | all_74_2, all_74_3, all_74_4, all_74_5, all_74_6, all_74_7, % 13.04/2.39 | | | | | | all_74_8, all_74_9 gives: % 13.04/2.39 | | | | | | (106) internal_friction(all_12_7, all_12_5) = all_74_8 & % 13.04/2.39 | | | | | | internal_friction(all_12_7, all_12_6) = all_74_7 & % 13.04/2.39 | | | | | | organization(all_12_7) = all_74_9 & capability(all_12_7, % 13.04/2.39 | | | | | | all_12_5) = all_74_5 & capability(all_12_7, all_12_6) = % 13.04/2.39 | | | | | | all_74_4 & greater(all_74_5, all_74_4) = all_74_3 & % 13.04/2.39 | | | | | | greater(all_74_8, all_74_7) = all_74_1 & smaller(all_74_5, % 13.04/2.39 | | | | | | all_74_4) = all_74_0 & smaller_or_equal(all_74_8, % 13.04/2.39 | | | | | | all_74_7) = all_74_6 & smaller_or_equal(all_24_8, % 13.04/2.39 | | | | | | all_24_7) = all_74_2 & $i(all_74_4) & $i(all_74_5) & % 13.04/2.39 | | | | | | $i(all_74_7) & $i(all_74_8) & ( ~ (all_74_9 = 0) | (( ~ % 13.04/2.39 | | | | | | (all_74_1 = 0) | ~ (all_74_2 = 0) | all_74_0 = 0) & % 13.04/2.39 | | | | | | ( ~ (all_74_6 = 0) | ~ (all_24_6 = 0) | all_74_3 = 0) % 13.04/2.39 | | | | | | & ( ~ (all_74_7 = all_74_8) | ~ (all_24_7 = all_24_8) % 13.04/2.39 | | | | | | | all_74_4 = all_74_5))) % 13.04/2.39 | | | | | | % 13.04/2.39 | | | | | | ALPHA: (106) implies: % 13.04/2.39 | | | | | | (107) smaller_or_equal(all_24_8, all_24_7) = all_74_2 % 13.04/2.39 | | | | | | (108) organization(all_12_7) = all_74_9 % 13.04/2.39 | | | | | | % 13.04/2.39 | | | | | | GROUND_INST: instantiating (11) with all_24_1, all_74_2, all_24_7, % 13.04/2.39 | | | | | | all_24_8, simplifying with (39), (107) gives: % 13.04/2.39 | | | | | | (109) all_74_2 = all_24_1 % 13.04/2.39 | | | | | | % 13.04/2.39 | | | | | | GROUND_INST: instantiating (13) with all_24_7, all_68_7, all_12_6, % 13.04/2.39 | | | | | | all_12_7, simplifying with (44), (96) gives: % 13.04/2.39 | | | | | | (110) all_68_7 = all_24_7 % 13.04/2.39 | | | | | | % 13.04/2.40 | | | | | | GROUND_INST: instantiating (13) with all_68_7, all_70_7, all_12_6, % 13.04/2.40 | | | | | | all_12_7, simplifying with (96), (101) gives: % 13.04/2.40 | | | | | | (111) all_70_7 = all_68_7 % 13.04/2.40 | | | | | | % 13.53/2.40 | | | | | | GROUND_INST: instantiating (13) with all_66_8, all_70_7, all_12_6, % 13.53/2.40 | | | | | | all_12_7, simplifying with (91), (101) gives: % 13.53/2.40 | | | | | | (112) all_70_7 = all_66_8 % 13.53/2.40 | | | | | | % 13.53/2.40 | | | | | | GROUND_INST: instantiating (13) with all_64_7, all_70_7, all_12_6, % 13.53/2.40 | | | | | | all_12_7, simplifying with (86), (101) gives: % 13.53/2.40 | | | | | | (113) all_70_7 = all_64_7 % 13.53/2.40 | | | | | | % 13.53/2.40 | | | | | | GROUND_INST: instantiating (13) with all_24_8, all_68_8, all_12_5, % 13.53/2.40 | | | | | | all_12_7, simplifying with (45), (97) gives: % 13.53/2.40 | | | | | | (114) all_68_8 = all_24_8 % 13.53/2.40 | | | | | | % 13.53/2.40 | | | | | | GROUND_INST: instantiating (13) with all_68_8, all_70_8, all_12_5, % 13.53/2.40 | | | | | | all_12_7, simplifying with (97), (102) gives: % 13.53/2.40 | | | | | | (115) all_70_8 = all_68_8 % 13.53/2.40 | | | | | | % 13.53/2.40 | | | | | | GROUND_INST: instantiating (13) with all_66_7, all_70_8, all_12_5, % 13.53/2.40 | | | | | | all_12_7, simplifying with (92), (102) gives: % 13.53/2.40 | | | | | | (116) all_70_8 = all_66_7 % 13.53/2.40 | | | | | | % 13.53/2.40 | | | | | | GROUND_INST: instantiating (13) with all_64_8, all_70_8, all_12_5, % 13.53/2.40 | | | | | | all_12_7, simplifying with (87), (102) gives: % 13.53/2.40 | | | | | | (117) all_70_8 = all_64_8 % 13.53/2.40 | | | | | | % 13.53/2.40 | | | | | | GROUND_INST: instantiating (10) with 0, all_70_9, all_12_7, % 13.53/2.40 | | | | | | simplifying with (26), (103) gives: % 13.53/2.40 | | | | | | (118) all_70_9 = 0 % 13.53/2.40 | | | | | | % 13.53/2.40 | | | | | | GROUND_INST: instantiating (10) with all_66_9, all_70_9, all_12_7, % 13.53/2.40 | | | | | | simplifying with (93), (103) gives: % 13.53/2.40 | | | | | | (119) all_70_9 = all_66_9 % 13.53/2.40 | | | | | | % 13.53/2.40 | | | | | | GROUND_INST: instantiating (10) with all_64_9, all_72_9, all_12_7, % 13.53/2.40 | | | | | | simplifying with (88), (105) gives: % 13.53/2.40 | | | | | | (120) all_72_9 = all_64_9 % 13.53/2.40 | | | | | | % 13.53/2.40 | | | | | | GROUND_INST: instantiating (10) with all_72_9, all_74_9, all_12_7, % 13.53/2.40 | | | | | | simplifying with (105), (108) gives: % 13.53/2.40 | | | | | | (121) all_74_9 = all_72_9 % 13.53/2.40 | | | | | | % 13.53/2.40 | | | | | | GROUND_INST: instantiating (10) with all_70_9, all_74_9, all_12_7, % 13.53/2.40 | | | | | | simplifying with (103), (108) gives: % 13.53/2.40 | | | | | | (122) all_74_9 = all_70_9 % 13.53/2.40 | | | | | | % 13.53/2.40 | | | | | | GROUND_INST: instantiating (10) with all_68_9, all_74_9, all_12_7, % 13.53/2.40 | | | | | | simplifying with (98), (108) gives: % 13.53/2.40 | | | | | | (123) all_74_9 = all_68_9 % 13.53/2.40 | | | | | | % 13.53/2.40 | | | | | | COMBINE_EQS: (122), (123) imply: % 13.53/2.40 | | | | | | (124) all_70_9 = all_68_9 % 13.53/2.40 | | | | | | % 13.53/2.40 | | | | | | SIMP: (124) implies: % 13.53/2.40 | | | | | | (125) all_70_9 = all_68_9 % 13.53/2.40 | | | | | | % 13.53/2.40 | | | | | | COMBINE_EQS: (121), (123) imply: % 13.53/2.40 | | | | | | (126) all_72_9 = all_68_9 % 13.53/2.40 | | | | | | % 13.53/2.40 | | | | | | SIMP: (126) implies: % 13.53/2.40 | | | | | | (127) all_72_9 = all_68_9 % 13.53/2.40 | | | | | | % 13.53/2.40 | | | | | | COMBINE_EQS: (120), (127) imply: % 13.53/2.40 | | | | | | (128) all_68_9 = all_64_9 % 13.53/2.40 | | | | | | % 13.53/2.40 | | | | | | SIMP: (128) implies: % 13.53/2.40 | | | | | | (129) all_68_9 = all_64_9 % 13.53/2.40 | | | | | | % 13.53/2.40 | | | | | | COMBINE_EQS: (112), (113) imply: % 13.53/2.40 | | | | | | (130) all_66_8 = all_64_7 % 13.53/2.40 | | | | | | % 13.53/2.40 | | | | | | COMBINE_EQS: (111), (112) imply: % 13.53/2.40 | | | | | | (131) all_68_7 = all_66_8 % 13.53/2.40 | | | | | | % 13.53/2.40 | | | | | | SIMP: (131) implies: % 13.53/2.40 | | | | | | (132) all_68_7 = all_66_8 % 13.53/2.40 | | | | | | % 13.53/2.40 | | | | | | COMBINE_EQS: (116), (117) imply: % 13.53/2.40 | | | | | | (133) all_66_7 = all_64_8 % 13.53/2.40 | | | | | | % 13.53/2.40 | | | | | | COMBINE_EQS: (115), (116) imply: % 13.53/2.40 | | | | | | (134) all_68_8 = all_66_7 % 13.53/2.40 | | | | | | % 13.53/2.40 | | | | | | SIMP: (134) implies: % 13.53/2.40 | | | | | | (135) all_68_8 = all_66_7 % 13.53/2.40 | | | | | | % 13.53/2.40 | | | | | | COMBINE_EQS: (118), (119) imply: % 13.53/2.40 | | | | | | (136) all_66_9 = 0 % 13.53/2.40 | | | | | | % 13.53/2.40 | | | | | | COMBINE_EQS: (119), (125) imply: % 13.53/2.40 | | | | | | (137) all_68_9 = all_66_9 % 13.53/2.40 | | | | | | % 13.53/2.40 | | | | | | SIMP: (137) implies: % 13.53/2.40 | | | | | | (138) all_68_9 = all_66_9 % 13.53/2.40 | | | | | | % 13.53/2.40 | | | | | | COMBINE_EQS: (110), (132) imply: % 13.53/2.40 | | | | | | (139) all_66_8 = all_24_7 % 13.53/2.40 | | | | | | % 13.53/2.40 | | | | | | SIMP: (139) implies: % 13.53/2.40 | | | | | | (140) all_66_8 = all_24_7 % 13.53/2.41 | | | | | | % 13.53/2.41 | | | | | | COMBINE_EQS: (114), (135) imply: % 13.53/2.41 | | | | | | (141) all_66_7 = all_24_8 % 13.53/2.41 | | | | | | % 13.53/2.41 | | | | | | SIMP: (141) implies: % 13.53/2.41 | | | | | | (142) all_66_7 = all_24_8 % 13.53/2.41 | | | | | | % 13.53/2.41 | | | | | | COMBINE_EQS: (129), (138) imply: % 13.53/2.41 | | | | | | (143) all_66_9 = all_64_9 % 13.53/2.41 | | | | | | % 13.53/2.41 | | | | | | SIMP: (143) implies: % 13.53/2.41 | | | | | | (144) all_66_9 = all_64_9 % 13.53/2.41 | | | | | | % 13.53/2.41 | | | | | | COMBINE_EQS: (133), (142) imply: % 13.53/2.41 | | | | | | (145) all_64_8 = all_24_8 % 13.53/2.41 | | | | | | % 13.53/2.41 | | | | | | SIMP: (145) implies: % 13.53/2.41 | | | | | | (146) all_64_8 = all_24_8 % 13.53/2.41 | | | | | | % 13.53/2.41 | | | | | | COMBINE_EQS: (130), (140) imply: % 13.53/2.41 | | | | | | (147) all_64_7 = all_24_7 % 13.53/2.41 | | | | | | % 13.53/2.41 | | | | | | COMBINE_EQS: (136), (144) imply: % 13.53/2.41 | | | | | | (148) all_64_9 = 0 % 13.53/2.41 | | | | | | % 13.53/2.41 | | | | | | COMBINE_EQS: (116), (142) imply: % 13.53/2.41 | | | | | | (149) all_70_8 = all_24_8 % 13.53/2.41 | | | | | | % 13.53/2.41 | | | | | | COMBINE_EQS: (112), (140) imply: % 13.53/2.41 | | | | | | (150) all_70_7 = all_24_7 % 13.53/2.41 | | | | | | % 13.53/2.41 | | | | | | REDUCE: (100), (149), (150) imply: % 13.53/2.41 | | | | | | (151) smaller_or_equal(all_24_8, all_24_7) = all_70_2 % 13.53/2.41 | | | | | | % 13.53/2.41 | | | | | | REDUCE: (95), (110), (114) imply: % 13.53/2.41 | | | | | | (152) smaller_or_equal(all_24_8, all_24_7) = all_68_2 % 13.53/2.41 | | | | | | % 13.53/2.41 | | | | | | REDUCE: (90), (140), (142) imply: % 13.53/2.41 | | | | | | (153) smaller_or_equal(all_24_7, all_24_8) = all_66_2 % 13.53/2.41 | | | | | | % 13.53/2.41 | | | | | | REDUCE: (85), (146), (147) imply: % 13.53/2.41 | | | | | | (154) smaller_or_equal(all_24_8, all_24_7) = all_64_1 % 13.53/2.41 | | | | | | % 13.53/2.41 | | | | | | REDUCE: (84), (147) imply: % 13.53/2.41 | | | | | | (155) $i(all_24_7) % 13.53/2.41 | | | | | | % 13.53/2.41 | | | | | | BETA: splitting (80) gives: % 13.53/2.41 | | | | | | % 13.53/2.41 | | | | | | Case 1: % 13.53/2.41 | | | | | | | % 13.53/2.41 | | | | | | | (156) all_24_7 = all_24_8 % 13.53/2.41 | | | | | | | % 13.53/2.41 | | | | | | | REDUCE: (153), (156) imply: % 13.53/2.41 | | | | | | | (157) smaller_or_equal(all_24_8, all_24_8) = all_66_2 % 13.53/2.41 | | | | | | | % 13.53/2.41 | | | | | | | REDUCE: (151), (156) imply: % 13.53/2.41 | | | | | | | (158) smaller_or_equal(all_24_8, all_24_8) = all_70_2 % 13.53/2.41 | | | | | | | % 13.53/2.41 | | | | | | | REDUCE: (152), (156) imply: % 13.53/2.41 | | | | | | | (159) smaller_or_equal(all_24_8, all_24_8) = all_68_2 % 13.53/2.41 | | | | | | | % 13.53/2.41 | | | | | | | REDUCE: (154), (156) imply: % 13.53/2.41 | | | | | | | (160) smaller_or_equal(all_24_8, all_24_8) = all_64_1 % 13.53/2.41 | | | | | | | % 13.53/2.41 | | | | | | | REDUCE: (39), (156) imply: % 13.53/2.41 | | | | | | | (161) smaller_or_equal(all_24_8, all_24_8) = all_24_1 % 13.53/2.41 | | | | | | | % 13.53/2.41 | | | | | | | REDUCE: (155), (156) imply: % 13.53/2.41 | | | | | | | (162) $i(all_24_8) % 13.53/2.41 | | | | | | | % 13.53/2.41 | | | | | | | GROUND_INST: instantiating (11) with all_24_1, all_68_2, all_24_8, % 13.53/2.41 | | | | | | | all_24_8, simplifying with (159), (161) gives: % 13.53/2.41 | | | | | | | (163) all_68_2 = all_24_1 % 13.53/2.41 | | | | | | | % 13.53/2.41 | | | | | | | GROUND_INST: instantiating (11) with all_68_2, all_70_2, all_24_8, % 13.53/2.41 | | | | | | | all_24_8, simplifying with (158), (159) gives: % 13.53/2.41 | | | | | | | (164) all_70_2 = all_68_2 % 13.53/2.41 | | | | | | | % 13.53/2.41 | | | | | | | GROUND_INST: instantiating (11) with all_66_2, all_70_2, all_24_8, % 13.53/2.41 | | | | | | | all_24_8, simplifying with (157), (158) gives: % 13.53/2.41 | | | | | | | (165) all_70_2 = all_66_2 % 13.53/2.41 | | | | | | | % 13.53/2.41 | | | | | | | GROUND_INST: instantiating (11) with all_64_1, all_70_2, all_24_8, % 13.53/2.41 | | | | | | | all_24_8, simplifying with (158), (160) gives: % 13.53/2.41 | | | | | | | (166) all_70_2 = all_64_1 % 13.53/2.41 | | | | | | | % 13.53/2.41 | | | | | | | COMBINE_EQS: (164), (165) imply: % 13.53/2.41 | | | | | | | (167) all_68_2 = all_66_2 % 13.53/2.41 | | | | | | | % 13.53/2.41 | | | | | | | SIMP: (167) implies: % 13.53/2.41 | | | | | | | (168) all_68_2 = all_66_2 % 13.53/2.41 | | | | | | | % 13.53/2.41 | | | | | | | COMBINE_EQS: (165), (166) imply: % 13.53/2.41 | | | | | | | (169) all_66_2 = all_64_1 % 13.53/2.41 | | | | | | | % 13.53/2.41 | | | | | | | COMBINE_EQS: (163), (168) imply: % 13.53/2.41 | | | | | | | (170) all_66_2 = all_24_1 % 13.53/2.41 | | | | | | | % 13.53/2.41 | | | | | | | SIMP: (170) implies: % 13.53/2.41 | | | | | | | (171) all_66_2 = all_24_1 % 13.53/2.41 | | | | | | | % 13.53/2.41 | | | | | | | COMBINE_EQS: (169), (171) imply: % 13.53/2.41 | | | | | | | (172) all_64_1 = all_24_1 % 13.53/2.41 | | | | | | | % 13.53/2.41 | | | | | | | GROUND_INST: instantiating (1) with all_24_8, all_24_1, % 13.53/2.41 | | | | | | | simplifying with (161), (162) gives: % 13.53/2.41 | | | | | | | (173) all_24_1 = 0 % 13.53/2.41 | | | | | | | % 13.53/2.41 | | | | | | | REDUCE: (75), (173) imply: % 13.53/2.41 | | | | | | | (174) $false % 13.53/2.41 | | | | | | | % 13.53/2.41 | | | | | | | CLOSE: (174) is inconsistent. % 13.53/2.41 | | | | | | | % 13.53/2.41 | | | | | | Case 2: % 13.53/2.41 | | | | | | | % 13.53/2.42 | | | | | | | (175) ? [v0: int] : ( ~ (v0 = 0) & organization(all_12_7) = % 13.53/2.42 | | | | | | | v0) % 13.53/2.42 | | | | | | | % 13.53/2.42 | | | | | | | DELTA: instantiating (175) with fresh symbol all_95_0 gives: % 13.53/2.42 | | | | | | | (176) ~ (all_95_0 = 0) & organization(all_12_7) = all_95_0 % 13.53/2.42 | | | | | | | % 13.53/2.42 | | | | | | | ALPHA: (176) implies: % 13.53/2.42 | | | | | | | (177) ~ (all_95_0 = 0) % 13.53/2.42 | | | | | | | (178) organization(all_12_7) = all_95_0 % 13.53/2.42 | | | | | | | % 13.53/2.42 | | | | | | | GROUND_INST: instantiating (10) with 0, all_95_0, all_12_7, % 13.53/2.42 | | | | | | | simplifying with (26), (178) gives: % 13.53/2.42 | | | | | | | (179) all_95_0 = 0 % 13.53/2.42 | | | | | | | % 13.53/2.42 | | | | | | | REDUCE: (177), (179) imply: % 13.53/2.42 | | | | | | | (180) $false % 13.53/2.42 | | | | | | | % 13.53/2.42 | | | | | | | CLOSE: (180) is inconsistent. % 13.53/2.42 | | | | | | | % 13.53/2.42 | | | | | | End of split % 13.53/2.42 | | | | | | % 13.53/2.42 | | | | | Case 2: % 13.53/2.42 | | | | | | % 13.53/2.42 | | | | | | (181) all_12_0 = 0 % 13.53/2.42 | | | | | | % 13.53/2.42 | | | | | | REDUCE: (16), (181) imply: % 13.53/2.42 | | | | | | (182) $false % 13.53/2.42 | | | | | | % 13.53/2.42 | | | | | | CLOSE: (182) is inconsistent. % 13.53/2.42 | | | | | | % 13.53/2.42 | | | | | End of split % 13.53/2.42 | | | | | % 13.53/2.42 | | | | End of split % 13.53/2.42 | | | | % 13.53/2.42 | | | End of split % 13.53/2.42 | | | % 13.53/2.42 | | End of split % 13.53/2.42 | | % 13.53/2.42 | End of split % 13.53/2.42 | % 13.53/2.42 End of proof % 13.53/2.42 % SZS output end Proof for theBenchmark % 13.53/2.42 % 13.53/2.42 1939ms %------------------------------------------------------------------------------