%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : MGT050+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 : n005.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 40.82s 5.84s % Output : Proof 42.88s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT050+1 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.03 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.08/0.34 % Computer : n005.cluster.edu % 0.08/0.34 % Model : x86_64 x86_64 % 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.34 % Memory : 8046.5625MB % 0.08/0.34 % OS : Linux 6.8.0-71-generic % 0.08/0.34 % CPULimit : 300 % 0.08/0.34 % WCLimit : 300 % 0.08/0.34 % DateTime : Mon Sep 7 13:17:35 UTC 2026 % 0.08/0.35 % CPUTime : % 0.08/0.36 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. % 0.31/0.55 ________ _____ % 0.31/0.55 ___ __ \_________(_)________________________________ % 0.31/0.55 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.31/0.55 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.31/0.55 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.31/0.55 % 0.31/0.55 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.31/0.55 (2023-06-19) % 0.31/0.55 % 0.31/0.55 (c) Philipp Rümmer, 2009-2023 % 0.31/0.55 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.31/0.55 Amanda Stjerna. % 0.31/0.55 Free software under BSD-3-Clause. % 0.31/0.55 % 0.31/0.55 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.31/0.55 % 0.31/0.55 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.57/0.56 Running up to 7 provers in parallel. % 0.57/0.57 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.57/0.57 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.57/0.57 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.57/0.57 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.57/0.57 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.57/0.57 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.57/0.57 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.13/1.09 Prover 4: Preprocessing ... % 3.13/1.10 Prover 1: Preprocessing ... % 3.90/1.18 Prover 5: Preprocessing ... % 3.90/1.18 Prover 2: Preprocessing ... % 3.90/1.18 Prover 3: Preprocessing ... % 3.90/1.18 Prover 6: Preprocessing ... % 3.90/1.18 Prover 0: Preprocessing ... % 8.31/1.70 Prover 6: Constructing countermodel ... % 8.31/1.75 Prover 3: Constructing countermodel ... % 8.31/1.78 Prover 1: Constructing countermodel ... % 9.91/1.92 Prover 2: Proving ... % 9.91/1.93 Prover 4: Constructing countermodel ... % 9.91/2.03 Prover 5: Proving ... % 9.91/2.05 Prover 0: Proving ... % 11.16/2.06 Prover 3: gave up % 11.16/2.07 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 11.16/2.10 Prover 1: gave up % 11.16/2.10 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 11.16/2.13 Prover 6: gave up % 11.16/2.13 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 11.97/2.18 Prover 7: Preprocessing ... % 12.25/2.24 Prover 9: Preprocessing ... % 12.25/2.24 Prover 8: Preprocessing ... % 13.88/2.43 Prover 8: Warning: ignoring some quantifiers % 13.88/2.47 Prover 8: Constructing countermodel ... % 14.65/2.59 Prover 7: Warning: ignoring some quantifiers % 15.44/2.62 Prover 7: Constructing countermodel ... % 16.28/2.72 Prover 9: Constructing countermodel ... % 16.28/2.74 Prover 8: gave up % 16.28/2.74 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 17.06/2.85 Prover 10: Preprocessing ... % 17.83/2.99 Prover 10: Warning: ignoring some quantifiers % 17.83/3.02 Prover 10: Constructing countermodel ... % 24.16/3.74 Prover 10: gave up % 24.16/3.75 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 25.00/3.82 Prover 11: Preprocessing ... % 26.84/4.08 Prover 11: Constructing countermodel ... % 40.82/5.83 Prover 11: Found proof (size 151) % 40.82/5.83 Prover 11: proved (2090ms) % 40.82/5.83 Prover 9: stopped % 40.82/5.84 Prover 4: stopped % 40.82/5.84 Prover 7: stopped % 40.82/5.84 Prover 0: stopped % 40.82/5.84 Prover 2: stopped % 40.82/5.84 Prover 5: stopped % 40.82/5.84 % 40.82/5.84 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 40.82/5.84 % 40.82/5.86 % SZS output start Proof for theBenchmark % 40.82/5.86 Assumptions after simplification: % 40.82/5.86 --------------------------------- % 40.82/5.86 % 40.82/5.86 (assumption_1) % 41.42/5.91 ! [v0: $i] : ! [v1: $i] : ( ~ (has_immunity(v0, v1) = 0) | ~ $i(v1) | ~ % 41.42/5.91 $i(v0) | ? [v2: int] : ? [v3: int] : ((v3 = 0 & has_endowment(v0) = 0) | ( % 41.42/5.91 ~ (v2 = 0) & organization(v0) = v2))) % 41.42/5.91 % 41.42/5.91 (assumption_10) % 41.42/5.91 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v3 % 41.42/5.91 | ~ (stock_of_knowledge(v0, v2) = v3) | ~ (stock_of_knowledge(v0, v1) = % 41.42/5.91 v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: int] : ( ~ (v5 = 0) & % 41.42/5.91 organization(v0) = v5)) % 41.42/5.91 % 41.42/5.91 (assumption_11) % 41.42/5.92 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v3 % 41.42/5.92 | ~ (external_ties(v0, v2) = v3) | ~ (external_ties(v0, v1) = v4) | ~ % 41.42/5.92 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: int] : ( ~ (v5 = 0) & % 41.42/5.92 organization(v0) = v5)) % 41.42/5.92 % 41.42/5.92 (assumption_12) % 41.42/5.93 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 41.42/5.93 int] : (v5 = 0 | ~ (internal_friction(v0, v2) = v3) | ~ % 41.42/5.93 (internal_friction(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ~ $i(v2) | % 41.42/5.93 ~ $i(v1) | ~ $i(v0) | ? [v6: int] : ? [v7: $i] : ? [v8: $i] : ? [v9: % 41.42/5.93 int] : (( ~ (v9 = 0) & age(v0, v2) = v7 & age(v0, v1) = v8 & greater(v7, % 41.42/5.93 v8) = v9 & $i(v8) & $i(v7)) | ( ~ (v6 = 0) & organization(v0) = v6))) % 41.42/5.93 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 41.42/5.93 (age(v0, v2) = v3) | ~ (age(v0, v1) = v4) | ~ (greater(v3, v4) = 0) | ~ % 41.42/5.93 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: int] : ? [v6: $i] : ? [v7: $i] : % 41.42/5.93 ? [v8: int] : ((v8 = 0 & internal_friction(v0, v2) = v6 & % 41.42/5.93 internal_friction(v0, v1) = v7 & greater(v6, v7) = 0 & $i(v7) & $i(v6)) % 41.42/5.93 | ( ~ (v5 = 0) & organization(v0) = v5))) % 41.42/5.93 % 41.42/5.93 (assumption_4) % 41.42/5.97 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 41.42/5.97 any] : ( ~ (position(v0, v2) = v3) | ~ (position(v0, v1) = v4) | ~ % 41.42/5.97 (greater(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: int] : % 41.42/5.97 ? [v7: int] : ? [v8: int] : ? [v9: $i] : ? [v10: $i] : ? [v11: int] : ? % 41.42/5.97 [v12: int] : ? [v13: $i] : ? [v14: $i] : ? [v15: int] : ? [v16: int] : % 41.42/5.97 ((v8 = 0 & has_immunity(v0, v2) = 0) | (v7 = 0 & has_immunity(v0, v1) = 0) | % 41.42/5.97 ( ~ (v6 = 0) & organization(v0) = v6) | (( ~ (v4 = v3) | (v14 = v13 & % 41.42/5.97 hazard_of_mortality(v0, v2) = v13 & hazard_of_mortality(v0, v1) = % 41.42/5.97 v13 & $i(v13)) | ( ~ (v10 = v9) & capability(v0, v2) = v9 & % 41.42/5.97 capability(v0, v1) = v10 & $i(v10) & $i(v9))) & ((v15 = 0 & % 41.42/5.97 hazard_of_mortality(v0, v2) = v13 & hazard_of_mortality(v0, v1) = % 41.42/5.97 v14 & smaller(v13, v14) = 0 & $i(v14) & $i(v13)) | (( ~ (v5 = 0) | ( % 41.42/5.97 ~ (v16 = 0) & capability(v0, v2) = v9 & capability(v0, v1) = v10 % 41.42/5.97 & greater_or_equal(v9, v10) = v16 & $i(v10) & $i(v9))) & (( ~ % 41.42/5.97 (v12 = 0) & greater_or_equal(v3, v4) = v12) | ( ~ (v11 = 0) & % 41.42/5.97 capability(v0, v2) = v9 & capability(v0, v1) = v10 & greater(v9, % 41.42/5.97 v10) = v11 & $i(v10) & $i(v9)))))))) & ! [v0: $i] : ! [v1: % 41.42/5.97 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: any] : ( ~ % 41.42/5.97 (position(v0, v2) = v3) | ~ (position(v0, v1) = v4) | ~ % 41.42/5.97 (greater_or_equal(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? % 41.42/5.97 [v6: int] : ? [v7: int] : ? [v8: int] : ? [v9: $i] : ? [v10: $i] : ? % 41.42/5.97 [v11: int] : ? [v12: $i] : ? [v13: $i] : ? [v14: int] : ? [v15: int] : % 41.42/5.97 ? [v16: int] : ((v8 = 0 & has_immunity(v0, v2) = 0) | (v7 = 0 & % 41.42/5.97 has_immunity(v0, v1) = 0) | ( ~ (v6 = 0) & organization(v0) = v6) | (( ~ % 41.42/5.97 (v4 = v3) | (v13 = v12 & hazard_of_mortality(v0, v2) = v12 & % 41.42/5.97 hazard_of_mortality(v0, v1) = v12 & $i(v12)) | ( ~ (v10 = v9) & % 41.42/5.97 capability(v0, v2) = v9 & capability(v0, v1) = v10 & $i(v10) & % 41.42/5.97 $i(v9))) & ((v14 = 0 & hazard_of_mortality(v0, v2) = v12 & % 41.42/5.97 hazard_of_mortality(v0, v1) = v13 & smaller(v12, v13) = 0 & $i(v13) % 41.42/5.97 & $i(v12)) | (( ~ (v5 = 0) | ( ~ (v11 = 0) & capability(v0, v2) = v9 % 41.42/5.97 & capability(v0, v1) = v10 & greater(v9, v10) = v11 & $i(v10) & % 41.42/5.97 $i(v9))) & (( ~ (v16 = 0) & greater(v3, v4) = v16) | ( ~ (v15 = % 41.42/5.97 0) & capability(v0, v2) = v9 & capability(v0, v1) = v10 & % 41.42/5.97 greater_or_equal(v9, v10) = v15 & $i(v10) & $i(v9)))))))) & ! % 41.42/5.97 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 41.42/5.97 any] : ( ~ (capability(v0, v2) = v3) | ~ (capability(v0, v1) = v4) | ~ % 41.42/5.97 (greater(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: int] : % 41.42/5.97 ? [v7: int] : ? [v8: int] : ? [v9: $i] : ? [v10: $i] : ? [v11: int] : ? % 41.42/5.97 [v12: $i] : ? [v13: $i] : ? [v14: int] : ? [v15: int] : ? [v16: int] : % 41.42/5.97 ((v8 = 0 & has_immunity(v0, v2) = 0) | (v7 = 0 & has_immunity(v0, v1) = 0) | % 41.42/5.97 ( ~ (v6 = 0) & organization(v0) = v6) | (( ~ (v4 = v3) | (v13 = v12 & % 41.42/5.97 hazard_of_mortality(v0, v2) = v12 & hazard_of_mortality(v0, v1) = % 41.42/5.97 v12 & $i(v12)) | ( ~ (v10 = v9) & position(v0, v2) = v9 & % 41.42/5.97 position(v0, v1) = v10 & $i(v10) & $i(v9))) & ((v14 = 0 & % 41.42/5.97 hazard_of_mortality(v0, v2) = v12 & hazard_of_mortality(v0, v1) = % 41.42/5.97 v13 & smaller(v12, v13) = 0 & $i(v13) & $i(v12)) | (( ~ (v5 = 0) | ( % 41.42/5.97 ~ (v11 = 0) & position(v0, v2) = v9 & position(v0, v1) = v10 & % 41.42/5.97 greater_or_equal(v9, v10) = v11 & $i(v10) & $i(v9))) & (( ~ (v16 % 41.42/5.97 = 0) & position(v0, v2) = v9 & position(v0, v1) = v10 & % 41.42/5.97 greater(v9, v10) = v16 & $i(v10) & $i(v9)) | ( ~ (v15 = 0) & % 41.42/5.97 greater_or_equal(v3, v4) = v15))))))) & ! [v0: $i] : ! [v1: % 41.42/5.97 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: any] : ( ~ % 41.42/5.97 (capability(v0, v2) = v3) | ~ (capability(v0, v1) = v4) | ~ % 41.42/5.97 (greater_or_equal(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? % 41.42/5.97 [v6: int] : ? [v7: int] : ? [v8: int] : ? [v9: int] : ? [v10: $i] : ? % 41.42/5.97 [v11: $i] : ? [v12: int] : ? [v13: $i] : ? [v14: $i] : ? [v15: int] : ? % 41.42/5.97 [v16: int] : ((v8 = 0 & has_immunity(v0, v2) = 0) | (v7 = 0 & % 41.42/5.97 has_immunity(v0, v1) = 0) | ( ~ (v6 = 0) & organization(v0) = v6) | (( ~ % 41.42/5.97 (v4 = v3) | (v14 = v13 & hazard_of_mortality(v0, v2) = v13 & % 41.42/5.97 hazard_of_mortality(v0, v1) = v13 & $i(v13)) | ( ~ (v11 = v10) & % 41.42/5.97 position(v0, v2) = v10 & position(v0, v1) = v11 & $i(v11) & % 41.42/5.97 $i(v10))) & ((v15 = 0 & hazard_of_mortality(v0, v2) = v13 & % 41.42/5.97 hazard_of_mortality(v0, v1) = v14 & smaller(v13, v14) = 0 & $i(v14) % 41.42/5.97 & $i(v13)) | (( ~ (v5 = 0) | ( ~ (v16 = 0) & position(v0, v2) = v10 % 41.42/5.97 & position(v0, v1) = v11 & greater(v10, v11) = v16 & $i(v11) & % 41.42/5.97 $i(v10))) & (( ~ (v12 = 0) & position(v0, v2) = v10 & % 41.42/5.97 position(v0, v1) = v11 & greater_or_equal(v10, v11) = v12 & % 41.42/5.97 $i(v11) & $i(v10)) | ( ~ (v9 = 0) & greater(v3, v4) = v9))))))) % 41.42/5.97 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! % 41.42/5.97 [v5: any] : ( ~ (hazard_of_mortality(v0, v2) = v3) | ~ % 41.42/5.97 (hazard_of_mortality(v0, v1) = v4) | ~ (smaller(v3, v4) = v5) | ~ $i(v2) | % 41.42/5.97 ~ $i(v1) | ~ $i(v0) | ? [v6: int] : ? [v7: int] : ? [v8: int] : ? [v9: % 41.42/5.97 $i] : ? [v10: $i] : ? [v11: int] : ? [v12: $i] : ? [v13: $i] : ? % 41.42/5.97 [v14: int] : ? [v15: int] : ? [v16: int] : ((v8 = 0 & has_immunity(v0, v2) % 41.42/5.97 = 0) | (v7 = 0 & has_immunity(v0, v1) = 0) | ( ~ (v6 = 0) & % 41.42/5.97 organization(v0) = v6) | ((v5 = 0 | ((( ~ (v16 = 0) & position(v0, v2) = % 41.42/5.97 v12 & position(v0, v1) = v13 & greater(v12, v13) = v16 & $i(v13) % 41.42/5.97 & $i(v12)) | ( ~ (v15 = 0) & capability(v0, v2) = v9 & % 41.42/5.97 capability(v0, v1) = v10 & greater_or_equal(v9, v10) = v15 & % 41.42/5.97 $i(v10) & $i(v9))) & (( ~ (v14 = 0) & position(v0, v2) = v12 & % 41.42/5.97 position(v0, v1) = v13 & greater_or_equal(v12, v13) = v14 & % 41.42/5.97 $i(v13) & $i(v12)) | ( ~ (v11 = 0) & capability(v0, v2) = v9 & % 41.42/5.97 capability(v0, v1) = v10 & greater(v9, v10) = v11 & $i(v10) & % 41.42/5.97 $i(v9))))) & (v4 = v3 | ( ~ (v13 = v12) & position(v0, v2) = v12 % 41.42/5.97 & position(v0, v1) = v13 & $i(v13) & $i(v12)) | ( ~ (v10 = v9) & % 41.42/5.97 capability(v0, v2) = v9 & capability(v0, v1) = v10 & $i(v10) & % 41.42/5.97 $i(v9)))))) % 41.42/5.97 % 41.42/5.98 (assumption_5) % 41.42/6.01 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 41.42/6.01 any] : ( ~ (internal_friction(v0, v2) = v3) | ~ (internal_friction(v0, v1) % 41.42/6.01 = v4) | ~ (greater(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? % 41.42/6.01 [v6: int] : ? [v7: $i] : ? [v8: $i] : ? [v9: int] : ? [v10: int] : ? % 41.42/6.01 [v11: $i] : ? [v12: $i] : ? [v13: int] : ? [v14: int] : ? [v15: int] : % 41.42/6.01 (( ~ (v6 = 0) & organization(v0) = v6) | (( ~ (v5 = 0) | (v15 = 0 & % 41.42/6.01 capability(v0, v2) = v11 & capability(v0, v1) = v12 & smaller(v11, % 41.42/6.01 v12) = 0 & $i(v12) & $i(v11)) | ( ~ (v14 = 0) & % 41.42/6.01 stock_of_knowledge(v0, v2) = v7 & stock_of_knowledge(v0, v1) = v8 & % 41.42/6.01 smaller_or_equal(v7, v8) = v14 & $i(v8) & $i(v7))) & ( ~ (v4 = v3) | % 41.42/6.01 (v12 = v11 & capability(v0, v2) = v11 & capability(v0, v1) = v11 & % 41.42/6.01 $i(v11)) | ( ~ (v8 = v7) & stock_of_knowledge(v0, v2) = v7 & % 41.42/6.01 stock_of_knowledge(v0, v1) = v8 & $i(v8) & $i(v7))) & ((v13 = 0 & % 41.42/6.01 capability(v0, v2) = v11 & capability(v0, v1) = v12 & greater(v11, % 41.42/6.01 v12) = 0 & $i(v12) & $i(v11)) | ( ~ (v10 = 0) & % 41.42/6.01 smaller_or_equal(v3, v4) = v10) | ( ~ (v9 = 0) & % 41.42/6.01 stock_of_knowledge(v0, v2) = v7 & stock_of_knowledge(v0, v1) = v8 & % 41.42/6.01 greater(v7, v8) = v9 & $i(v8) & $i(v7)))))) & ! [v0: $i] : ! [v1: % 41.42/6.01 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: any] : ( ~ % 41.42/6.01 (internal_friction(v0, v2) = v3) | ~ (internal_friction(v0, v1) = v4) | ~ % 41.42/6.01 (smaller_or_equal(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? % 41.42/6.01 [v6: int] : ? [v7: $i] : ? [v8: $i] : ? [v9: int] : ? [v10: $i] : ? % 41.42/6.01 [v11: $i] : ? [v12: int] : ? [v13: int] : ? [v14: int] : ? [v15: int] : % 41.42/6.01 (( ~ (v6 = 0) & organization(v0) = v6) | (( ~ (v5 = 0) | (v12 = 0 & % 41.42/6.01 capability(v0, v2) = v10 & capability(v0, v1) = v11 & greater(v10, % 41.42/6.01 v11) = 0 & $i(v11) & $i(v10)) | ( ~ (v9 = 0) & % 41.42/6.01 stock_of_knowledge(v0, v2) = v7 & stock_of_knowledge(v0, v1) = v8 & % 41.42/6.01 greater(v7, v8) = v9 & $i(v8) & $i(v7))) & ( ~ (v4 = v3) | (v11 = % 41.42/6.01 v10 & capability(v0, v2) = v10 & capability(v0, v1) = v10 & $i(v10)) % 41.42/6.01 | ( ~ (v8 = v7) & stock_of_knowledge(v0, v2) = v7 & % 41.42/6.01 stock_of_knowledge(v0, v1) = v8 & $i(v8) & $i(v7))) & ((v15 = 0 & % 41.42/6.01 capability(v0, v2) = v10 & capability(v0, v1) = v11 & smaller(v10, % 41.42/6.01 v11) = 0 & $i(v11) & $i(v10)) | ( ~ (v14 = 0) & greater(v3, v4) = % 41.42/6.01 v14) | ( ~ (v13 = 0) & stock_of_knowledge(v0, v2) = v7 & % 41.42/6.01 stock_of_knowledge(v0, v1) = v8 & smaller_or_equal(v7, v8) = v13 & % 41.42/6.01 $i(v8) & $i(v7)))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 41.42/6.01 [v3: $i] : ! [v4: $i] : ! [v5: any] : ( ~ (stock_of_knowledge(v0, v2) = v3) % 41.42/6.01 | ~ (stock_of_knowledge(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ~ % 41.42/6.01 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: int] : ? [v7: $i] : ? [v8: $i] : % 41.42/6.01 ? [v9: int] : ? [v10: $i] : ? [v11: $i] : ? [v12: int] : ? [v13: int] : % 41.42/6.01 ? [v14: int] : ? [v15: int] : (( ~ (v6 = 0) & organization(v0) = v6) | (( ~ % 41.42/6.01 (v5 = 0) | (v12 = 0 & capability(v0, v2) = v10 & capability(v0, v1) = % 41.42/6.01 v11 & greater(v10, v11) = 0 & $i(v11) & $i(v10)) | ( ~ (v9 = 0) & % 41.42/6.01 internal_friction(v0, v2) = v7 & internal_friction(v0, v1) = v8 & % 41.42/6.01 smaller_or_equal(v7, v8) = v9 & $i(v8) & $i(v7))) & ( ~ (v4 = v3) | % 41.42/6.01 (v11 = v10 & capability(v0, v2) = v10 & capability(v0, v1) = v10 & % 41.42/6.01 $i(v10)) | ( ~ (v8 = v7) & internal_friction(v0, v2) = v7 & % 41.42/6.01 internal_friction(v0, v1) = v8 & $i(v8) & $i(v7))) & ((v15 = 0 & % 41.42/6.01 capability(v0, v2) = v10 & capability(v0, v1) = v11 & smaller(v10, % 41.42/6.01 v11) = 0 & $i(v11) & $i(v10)) | ( ~ (v14 = 0) & % 41.42/6.01 internal_friction(v0, v2) = v7 & internal_friction(v0, v1) = v8 & % 41.42/6.01 greater(v7, v8) = v14 & $i(v8) & $i(v7)) | ( ~ (v13 = 0) & % 41.42/6.01 smaller_or_equal(v3, v4) = v13))))) & ! [v0: $i] : ! [v1: $i] : ! % 41.42/6.01 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: any] : ( ~ % 41.42/6.01 (stock_of_knowledge(v0, v2) = v3) | ~ (stock_of_knowledge(v0, v1) = v4) | % 41.42/6.01 ~ (smaller_or_equal(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? % 41.42/6.01 [v6: int] : ? [v7: int] : ? [v8: $i] : ? [v9: $i] : ? [v10: int] : ? % 41.42/6.02 [v11: $i] : ? [v12: $i] : ? [v13: int] : ? [v14: int] : ? [v15: int] : % 41.42/6.02 (( ~ (v6 = 0) & organization(v0) = v6) | (( ~ (v5 = 0) | (v15 = 0 & % 41.42/6.02 capability(v0, v2) = v11 & capability(v0, v1) = v12 & smaller(v11, % 41.42/6.02 v12) = 0 & $i(v12) & $i(v11)) | ( ~ (v14 = 0) & % 41.42/6.02 internal_friction(v0, v2) = v8 & internal_friction(v0, v1) = v9 & % 41.42/6.02 greater(v8, v9) = v14 & $i(v9) & $i(v8))) & ( ~ (v4 = v3) | (v12 = % 41.42/6.02 v11 & capability(v0, v2) = v11 & capability(v0, v1) = v11 & $i(v11)) % 41.42/6.02 | ( ~ (v9 = v8) & internal_friction(v0, v2) = v8 & % 41.42/6.02 internal_friction(v0, v1) = v9 & $i(v9) & $i(v8))) & ((v13 = 0 & % 41.42/6.02 capability(v0, v2) = v11 & capability(v0, v1) = v12 & greater(v11, % 41.42/6.02 v12) = 0 & $i(v12) & $i(v11)) | ( ~ (v10 = 0) & % 41.42/6.02 internal_friction(v0, v2) = v8 & internal_friction(v0, v1) = v9 & % 41.42/6.02 smaller_or_equal(v8, v9) = v10 & $i(v9) & $i(v8)) | ( ~ (v7 = 0) & % 41.42/6.02 greater(v3, v4) = v7))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] % 41.42/6.02 : ! [v3: $i] : ! [v4: $i] : ! [v5: any] : ( ~ (capability(v0, v2) = v3) | % 41.42/6.02 ~ (capability(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ~ $i(v2) | ~ % 41.42/6.02 $i(v1) | ~ $i(v0) | ? [v6: int] : ? [v7: $i] : ? [v8: $i] : ? [v9: int] % 41.42/6.02 : ? [v10: $i] : ? [v11: $i] : ? [v12: int] : ? [v13: int] : ? [v14: % 41.42/6.02 int] : ? [v15: int] : (( ~ (v6 = 0) & organization(v0) = v6) | ((v5 = 0 | % 41.42/6.02 ( ~ (v12 = 0) & internal_friction(v0, v2) = v10 & % 41.42/6.02 internal_friction(v0, v1) = v11 & smaller_or_equal(v10, v11) = v12 & % 41.42/6.02 $i(v11) & $i(v10)) | ( ~ (v9 = 0) & stock_of_knowledge(v0, v2) = v7 % 41.42/6.02 & stock_of_knowledge(v0, v1) = v8 & greater(v7, v8) = v9 & $i(v8) & % 41.42/6.02 $i(v7))) & (v4 = v3 | ( ~ (v11 = v10) & internal_friction(v0, v2) = % 41.42/6.02 v10 & internal_friction(v0, v1) = v11 & $i(v11) & $i(v10)) | ( ~ (v8 % 41.42/6.02 = v7) & stock_of_knowledge(v0, v2) = v7 & stock_of_knowledge(v0, % 41.42/6.02 v1) = v8 & $i(v8) & $i(v7))) & ((v15 = 0 & smaller(v3, v4) = 0) | % 41.42/6.02 ( ~ (v14 = 0) & internal_friction(v0, v2) = v10 & % 41.42/6.02 internal_friction(v0, v1) = v11 & greater(v10, v11) = v14 & $i(v11) % 41.42/6.02 & $i(v10)) | ( ~ (v13 = 0) & stock_of_knowledge(v0, v2) = v7 & % 41.42/6.02 stock_of_knowledge(v0, v1) = v8 & smaller_or_equal(v7, v8) = v13 & % 41.42/6.02 $i(v8) & $i(v7)))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 41.42/6.02 [v3: $i] : ! [v4: $i] : ! [v5: any] : ( ~ (capability(v0, v2) = v3) | ~ % 41.42/6.02 (capability(v0, v1) = v4) | ~ (smaller(v3, v4) = v5) | ~ $i(v2) | ~ % 41.42/6.02 $i(v1) | ~ $i(v0) | ? [v6: int] : ? [v7: $i] : ? [v8: $i] : ? [v9: int] % 41.42/6.02 : ? [v10: $i] : ? [v11: $i] : ? [v12: int] : ? [v13: int] : ? [v14: % 41.42/6.02 int] : ? [v15: int] : (( ~ (v6 = 0) & organization(v0) = v6) | ((v5 = 0 | % 41.42/6.02 ( ~ (v15 = 0) & internal_friction(v0, v2) = v10 & % 41.42/6.02 internal_friction(v0, v1) = v11 & greater(v10, v11) = v15 & $i(v11) % 41.42/6.02 & $i(v10)) | ( ~ (v14 = 0) & stock_of_knowledge(v0, v2) = v7 & % 41.42/6.02 stock_of_knowledge(v0, v1) = v8 & smaller_or_equal(v7, v8) = v14 & % 41.42/6.02 $i(v8) & $i(v7))) & (v4 = v3 | ( ~ (v11 = v10) & % 41.42/6.02 internal_friction(v0, v2) = v10 & internal_friction(v0, v1) = v11 & % 41.42/6.02 $i(v11) & $i(v10)) | ( ~ (v8 = v7) & stock_of_knowledge(v0, v2) = v7 % 41.42/6.02 & stock_of_knowledge(v0, v1) = v8 & $i(v8) & $i(v7))) & ((v13 = 0 & % 41.42/6.02 greater(v3, v4) = 0) | ( ~ (v12 = 0) & internal_friction(v0, v2) = % 41.42/6.02 v10 & internal_friction(v0, v1) = v11 & smaller_or_equal(v10, v11) = % 41.42/6.02 v12 & $i(v11) & $i(v10)) | ( ~ (v9 = 0) & stock_of_knowledge(v0, v2) % 41.42/6.02 = v7 & stock_of_knowledge(v0, v1) = v8 & greater(v7, v8) = v9 & % 41.42/6.02 $i(v8) & $i(v7)))))) % 41.42/6.02 % 41.42/6.02 (assumption_6) % 41.42/6.02 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 41.42/6.02 any] : ( ~ (external_ties(v0, v2) = v3) | ~ (external_ties(v0, v1) = v4) | % 41.42/6.02 ~ (greater(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: int] % 41.42/6.02 : ? [v7: $i] : ? [v8: $i] : ? [v9: int] : (( ~ (v6 = 0) & % 41.42/6.02 organization(v0) = v6) | (( ~ (v5 = 0) | (v9 = 0 & position(v0, v2) = v7 % 41.42/6.02 & position(v0, v1) = v8 & greater(v7, v8) = 0 & $i(v8) & $i(v7))) & % 41.42/6.02 ( ~ (v4 = v3) | (v8 = v7 & position(v0, v2) = v7 & position(v0, v1) = v7 % 41.42/6.02 & $i(v7)))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 41.42/6.02 $i] : ! [v4: $i] : ! [v5: any] : ( ~ (position(v0, v2) = v3) | ~ % 41.42/6.02 (position(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) % 41.42/6.02 | ~ $i(v0) | ? [v6: int] : ? [v7: $i] : ? [v8: $i] : ? [v9: int] : (( ~ % 41.42/6.02 (v6 = 0) & organization(v0) = v6) | ((v5 = 0 | ( ~ (v9 = 0) & % 41.42/6.02 external_ties(v0, v2) = v7 & external_ties(v0, v1) = v8 & % 41.42/6.02 greater(v7, v8) = v9 & $i(v8) & $i(v7))) & (v4 = v3 | ( ~ (v8 = v7) % 41.42/6.02 & external_ties(v0, v2) = v7 & external_ties(v0, v1) = v8 & $i(v8) & % 41.42/6.02 $i(v7)))))) % 41.42/6.02 % 41.42/6.02 (definition_greater_or_equal) % 41.42/6.03 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | v1 = v0 | ~ (greater(v0, % 41.42/6.03 v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) & % 41.42/6.03 greater_or_equal(v0, v1) = v3)) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] % 41.42/6.03 : (v2 = 0 | ~ (greater_or_equal(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? % 41.42/6.03 [v3: int] : ( ~ (v3 = 0) & greater(v0, v1) = v3)) & ! [v0: $i] : ! [v1: % 41.42/6.03 $i] : (v1 = v0 | ~ (greater_or_equal(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | % 41.42/6.03 greater(v0, v1) = 0) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ % 41.42/6.03 (greater_or_equal(v0, v0) = v1) | ~ $i(v0)) & ! [v0: $i] : ! [v1: $i] : ( % 41.42/6.03 ~ (greater(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | greater_or_equal(v0, v1) = % 41.42/6.03 0) & ! [v0: $i] : ! [v1: MultipleValueBool] : ( ~ (greater(v0, v0) = v1) | % 41.42/6.03 ~ $i(v0) | greater_or_equal(v0, v0) = 0) % 41.42/6.03 % 41.42/6.03 (definition_smaller) % 41.42/6.03 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (greater(v1, v0) = v2) % 41.42/6.03 | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) & smaller(v0, v1) = % 41.42/6.03 v3)) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ % 41.42/6.03 (smaller(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) % 41.42/6.03 & greater(v1, v0) = v3)) & ! [v0: $i] : ! [v1: $i] : ( ~ (greater(v1, % 41.42/6.03 v0) = 0) | ~ $i(v1) | ~ $i(v0) | smaller(v0, v1) = 0) & ! [v0: $i] : % 41.42/6.03 ! [v1: $i] : ( ~ (smaller(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | greater(v1, % 41.42/6.03 v0) = 0) % 41.42/6.03 % 42.08/6.03 (definition_smaller_or_equal) % 42.08/6.04 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | v1 = v0 | ~ (smaller(v0, % 42.08/6.04 v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) & % 42.08/6.04 smaller_or_equal(v0, v1) = v3)) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] % 42.08/6.04 : (v2 = 0 | ~ (smaller_or_equal(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? % 42.08/6.04 [v3: int] : ( ~ (v3 = 0) & smaller(v0, v1) = v3)) & ! [v0: $i] : ! [v1: % 42.08/6.04 $i] : (v1 = v0 | ~ (smaller_or_equal(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | % 42.08/6.04 smaller(v0, v1) = 0) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ % 42.08/6.04 (smaller_or_equal(v0, v0) = v1) | ~ $i(v0)) & ! [v0: $i] : ! [v1: $i] : ( % 42.08/6.04 ~ (smaller(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | smaller_or_equal(v0, v1) = % 42.08/6.04 0) & ! [v0: $i] : ! [v1: MultipleValueBool] : ( ~ (smaller(v0, v0) = v1) | % 42.08/6.04 ~ $i(v0) | smaller_or_equal(v0, v0) = 0) % 42.08/6.04 % 42.08/6.04 (theorem_3) % 42.08/6.04 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: int] : ? [v4: $i] : ? [v5: % 42.08/6.04 $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: int] : ( ~ (v8 = 0) & ~ (v3 = 0) % 42.08/6.04 & age(v0, v2) = v4 & age(v0, v1) = v5 & hazard_of_mortality(v0, v2) = v6 & % 42.08/6.04 hazard_of_mortality(v0, v1) = v7 & organization(v0) = 0 & has_endowment(v0) % 42.08/6.04 = v3 & greater(v6, v7) = v8 & greater(v4, v5) = 0 & $i(v7) & $i(v6) & $i(v5) % 42.08/6.04 & $i(v4) & $i(v2) & $i(v1) & $i(v0)) % 42.08/6.04 % 42.08/6.04 (function-axioms) % 42.08/6.05 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (age(v3, % 42.08/6.05 v2) = v1) | ~ (age(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 42.08/6.05 $i] : ! [v3: $i] : (v1 = v0 | ~ (external_ties(v3, v2) = v1) | ~ % 42.08/6.05 (external_ties(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 42.08/6.05 [v3: $i] : (v1 = v0 | ~ (internal_friction(v3, v2) = v1) | ~ % 42.08/6.05 (internal_friction(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] % 42.08/6.05 : ! [v3: $i] : (v1 = v0 | ~ (stock_of_knowledge(v3, v2) = v1) | ~ % 42.08/6.05 (stock_of_knowledge(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] % 42.08/6.05 : ! [v3: $i] : (v1 = v0 | ~ (position(v3, v2) = v1) | ~ (position(v3, v2) = % 42.08/6.05 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | % 42.08/6.05 ~ (capability(v3, v2) = v1) | ~ (capability(v3, v2) = v0)) & ! [v0: $i] : % 42.08/6.05 ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 42.08/6.05 (hazard_of_mortality(v3, v2) = v1) | ~ (hazard_of_mortality(v3, v2) = v0)) % 42.08/6.05 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 42.08/6.05 [v3: $i] : (v1 = v0 | ~ (has_immunity(v3, v2) = v1) | ~ (has_immunity(v3, % 42.08/6.05 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 42.08/6.05 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (greater(v3, v2) = v1) | ~ % 42.08/6.05 (greater(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 42.08/6.05 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 42.08/6.05 (greater_or_equal(v3, v2) = v1) | ~ (greater_or_equal(v3, v2) = v0)) & ! % 42.08/6.05 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 42.08/6.05 $i] : (v1 = v0 | ~ (smaller(v3, v2) = v1) | ~ (smaller(v3, v2) = v0)) & ! % 42.08/6.05 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 42.08/6.05 $i] : (v1 = v0 | ~ (smaller_or_equal(v3, v2) = v1) | ~ % 42.08/6.05 (smaller_or_equal(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 42.08/6.05 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (organization(v2) = v1) | % 42.08/6.05 ~ (organization(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 42.08/6.05 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (has_endowment(v2) = v1) | % 42.08/6.05 ~ (has_endowment(v2) = v0)) % 42.08/6.05 % 42.08/6.05 Further assumptions not needed in the proof: % 42.08/6.05 -------------------------------------------- % 42.08/6.05 meaning_postulate_greater_comparable, meaning_postulate_greater_strict, % 42.08/6.05 meaning_postulate_greater_transitive % 42.08/6.05 % 42.08/6.05 Those formulas are unsatisfiable: % 42.08/6.05 --------------------------------- % 42.08/6.05 % 42.08/6.05 Begin of proof % 42.08/6.05 | % 42.08/6.05 | ALPHA: (definition_smaller_or_equal) implies: % 42.08/6.05 | (1) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (smaller_or_equal(v0, v0) = % 42.08/6.05 | v1) | ~ $i(v0)) % 42.08/6.05 | % 42.08/6.05 | ALPHA: (definition_greater_or_equal) implies: % 42.08/6.05 | (2) ! [v0: $i] : ! [v1: $i] : ( ~ (greater(v0, v1) = 0) | ~ $i(v1) | ~ % 42.08/6.05 | $i(v0) | greater_or_equal(v0, v1) = 0) % 42.08/6.05 | (3) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (greater_or_equal(v0, v0) = % 42.08/6.05 | v1) | ~ $i(v0)) % 42.08/6.05 | % 42.08/6.05 | ALPHA: (definition_smaller) implies: % 42.08/6.06 | (4) ! [v0: $i] : ! [v1: $i] : ( ~ (smaller(v0, v1) = 0) | ~ $i(v1) | ~ % 42.08/6.06 | $i(v0) | greater(v1, v0) = 0) % 42.08/6.06 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (greater(v1, % 42.08/6.06 | v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) & % 42.08/6.06 | smaller(v0, v1) = v3)) % 42.08/6.06 | % 42.08/6.06 | ALPHA: (assumption_4) implies: % 42.08/6.06 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 42.08/6.06 | ! [v5: any] : ( ~ (hazard_of_mortality(v0, v2) = v3) | ~ % 42.08/6.06 | (hazard_of_mortality(v0, v1) = v4) | ~ (smaller(v3, v4) = v5) | ~ % 42.08/6.06 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: int] : ? [v7: int] : ? % 42.08/6.06 | [v8: int] : ? [v9: $i] : ? [v10: $i] : ? [v11: int] : ? [v12: $i] % 42.08/6.06 | : ? [v13: $i] : ? [v14: int] : ? [v15: int] : ? [v16: int] : ((v8 % 42.08/6.06 | = 0 & has_immunity(v0, v2) = 0) | (v7 = 0 & has_immunity(v0, v1) % 42.08/6.06 | = 0) | ( ~ (v6 = 0) & organization(v0) = v6) | ((v5 = 0 | ((( ~ % 42.08/6.06 | (v16 = 0) & position(v0, v2) = v12 & position(v0, v1) = % 42.08/6.06 | v13 & greater(v12, v13) = v16 & $i(v13) & $i(v12)) | ( ~ % 42.08/6.06 | (v15 = 0) & capability(v0, v2) = v9 & capability(v0, v1) % 42.08/6.06 | = v10 & greater_or_equal(v9, v10) = v15 & $i(v10) & % 42.08/6.06 | $i(v9))) & (( ~ (v14 = 0) & position(v0, v2) = v12 & % 42.08/6.06 | position(v0, v1) = v13 & greater_or_equal(v12, v13) = v14 % 42.08/6.06 | & $i(v13) & $i(v12)) | ( ~ (v11 = 0) & capability(v0, v2) % 42.08/6.06 | = v9 & capability(v0, v1) = v10 & greater(v9, v10) = v11 % 42.08/6.06 | & $i(v10) & $i(v9))))) & (v4 = v3 | ( ~ (v13 = v12) & % 42.08/6.06 | position(v0, v2) = v12 & position(v0, v1) = v13 & $i(v13) & % 42.08/6.06 | $i(v12)) | ( ~ (v10 = v9) & capability(v0, v2) = v9 & % 42.08/6.06 | capability(v0, v1) = v10 & $i(v10) & $i(v9)))))) % 42.08/6.06 | % 42.08/6.06 | ALPHA: (assumption_5) implies: % 42.08/6.07 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 42.08/6.07 | ! [v5: any] : ( ~ (internal_friction(v0, v2) = v3) | ~ % 42.08/6.07 | (internal_friction(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ~ % 42.08/6.07 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: int] : ? [v7: $i] : ? [v8: % 42.08/6.07 | $i] : ? [v9: int] : ? [v10: int] : ? [v11: $i] : ? [v12: $i] : % 42.08/6.07 | ? [v13: int] : ? [v14: int] : ? [v15: int] : (( ~ (v6 = 0) & % 42.08/6.07 | organization(v0) = v6) | (( ~ (v5 = 0) | (v15 = 0 & % 42.08/6.07 | capability(v0, v2) = v11 & capability(v0, v1) = v12 & % 42.08/6.07 | smaller(v11, v12) = 0 & $i(v12) & $i(v11)) | ( ~ (v14 = 0) & % 42.08/6.07 | stock_of_knowledge(v0, v2) = v7 & stock_of_knowledge(v0, v1) % 42.08/6.07 | = v8 & smaller_or_equal(v7, v8) = v14 & $i(v8) & $i(v7))) & ( % 42.08/6.07 | ~ (v4 = v3) | (v12 = v11 & capability(v0, v2) = v11 & % 42.08/6.07 | capability(v0, v1) = v11 & $i(v11)) | ( ~ (v8 = v7) & % 42.08/6.07 | stock_of_knowledge(v0, v2) = v7 & stock_of_knowledge(v0, v1) % 42.08/6.07 | = v8 & $i(v8) & $i(v7))) & ((v13 = 0 & capability(v0, v2) = % 42.08/6.07 | v11 & capability(v0, v1) = v12 & greater(v11, v12) = 0 & % 42.08/6.07 | $i(v12) & $i(v11)) | ( ~ (v10 = 0) & smaller_or_equal(v3, v4) % 42.08/6.07 | = v10) | ( ~ (v9 = 0) & stock_of_knowledge(v0, v2) = v7 & % 42.08/6.07 | stock_of_knowledge(v0, v1) = v8 & greater(v7, v8) = v9 & % 42.08/6.07 | $i(v8) & $i(v7)))))) % 42.08/6.07 | % 42.08/6.07 | ALPHA: (assumption_6) implies: % 42.08/6.08 | (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 42.08/6.08 | ! [v5: any] : ( ~ (position(v0, v2) = v3) | ~ (position(v0, v1) = v4) % 42.08/6.08 | | ~ (greater(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? % 42.08/6.08 | [v6: int] : ? [v7: $i] : ? [v8: $i] : ? [v9: int] : (( ~ (v6 = 0) % 42.08/6.08 | & organization(v0) = v6) | ((v5 = 0 | ( ~ (v9 = 0) & % 42.08/6.08 | external_ties(v0, v2) = v7 & external_ties(v0, v1) = v8 & % 42.08/6.08 | greater(v7, v8) = v9 & $i(v8) & $i(v7))) & (v4 = v3 | ( ~ (v8 % 42.08/6.08 | = v7) & external_ties(v0, v2) = v7 & external_ties(v0, v1) % 42.08/6.08 | = v8 & $i(v8) & $i(v7)))))) % 42.08/6.08 | % 42.08/6.08 | ALPHA: (assumption_12) implies: % 42.08/6.08 | (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( % 42.08/6.08 | ~ (age(v0, v2) = v3) | ~ (age(v0, v1) = v4) | ~ (greater(v3, v4) = % 42.08/6.08 | 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: int] : ? [v6: $i] % 42.08/6.08 | : ? [v7: $i] : ? [v8: int] : ((v8 = 0 & internal_friction(v0, v2) = % 42.08/6.08 | v6 & internal_friction(v0, v1) = v7 & greater(v6, v7) = 0 & % 42.08/6.08 | $i(v7) & $i(v6)) | ( ~ (v5 = 0) & organization(v0) = v5))) % 42.08/6.08 | % 42.08/6.08 | ALPHA: (function-axioms) implies: % 42.08/6.08 | (10) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 42.08/6.08 | : (v1 = v0 | ~ (has_endowment(v2) = v1) | ~ (has_endowment(v2) = % 42.08/6.08 | v0)) % 42.08/6.08 | (11) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 42.08/6.08 | : (v1 = v0 | ~ (organization(v2) = v1) | ~ (organization(v2) = v0)) % 42.08/6.08 | (12) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 42.08/6.08 | : ! [v3: $i] : (v1 = v0 | ~ (greater_or_equal(v3, v2) = v1) | ~ % 42.08/6.08 | (greater_or_equal(v3, v2) = v0)) % 42.08/6.08 | (13) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 42.08/6.08 | : ! [v3: $i] : (v1 = v0 | ~ (greater(v3, v2) = v1) | ~ (greater(v3, % 42.08/6.08 | v2) = v0)) % 42.08/6.08 | (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 42.08/6.08 | (capability(v3, v2) = v1) | ~ (capability(v3, v2) = v0)) % 42.08/6.08 | % 42.08/6.08 | DELTA: instantiating (theorem_3) with fresh symbols all_16_0, all_16_1, % 42.08/6.08 | all_16_2, all_16_3, all_16_4, all_16_5, all_16_6, all_16_7, all_16_8 % 42.08/6.08 | gives: % 42.08/6.09 | (15) ~ (all_16_0 = 0) & ~ (all_16_5 = 0) & age(all_16_8, all_16_6) = % 42.08/6.09 | all_16_4 & age(all_16_8, all_16_7) = all_16_3 & % 42.08/6.09 | hazard_of_mortality(all_16_8, all_16_6) = all_16_2 & % 42.08/6.09 | hazard_of_mortality(all_16_8, all_16_7) = all_16_1 & % 42.08/6.09 | organization(all_16_8) = 0 & has_endowment(all_16_8) = all_16_5 & % 42.08/6.09 | greater(all_16_2, all_16_1) = all_16_0 & greater(all_16_4, all_16_3) = % 42.08/6.09 | 0 & $i(all_16_1) & $i(all_16_2) & $i(all_16_3) & $i(all_16_4) & % 42.08/6.09 | $i(all_16_6) & $i(all_16_7) & $i(all_16_8) % 42.08/6.09 | % 42.08/6.09 | ALPHA: (15) implies: % 42.08/6.09 | (16) ~ (all_16_5 = 0) % 42.08/6.09 | (17) ~ (all_16_0 = 0) % 42.08/6.09 | (18) $i(all_16_8) % 42.08/6.09 | (19) $i(all_16_7) % 42.08/6.09 | (20) $i(all_16_6) % 42.08/6.09 | (21) $i(all_16_2) % 42.08/6.09 | (22) $i(all_16_1) % 42.08/6.09 | (23) greater(all_16_4, all_16_3) = 0 % 42.08/6.09 | (24) greater(all_16_2, all_16_1) = all_16_0 % 42.08/6.09 | (25) has_endowment(all_16_8) = all_16_5 % 42.08/6.09 | (26) organization(all_16_8) = 0 % 42.08/6.09 | (27) hazard_of_mortality(all_16_8, all_16_7) = all_16_1 % 42.08/6.09 | (28) hazard_of_mortality(all_16_8, all_16_6) = all_16_2 % 42.08/6.09 | (29) age(all_16_8, all_16_7) = all_16_3 % 42.08/6.09 | (30) age(all_16_8, all_16_6) = all_16_4 % 42.08/6.09 | % 42.08/6.09 | GROUND_INST: instantiating (5) with all_16_1, all_16_2, all_16_0, simplifying % 42.08/6.09 | with (21), (22), (24) gives: % 42.08/6.09 | (31) all_16_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) & smaller(all_16_1, % 42.08/6.09 | all_16_2) = v0) % 42.08/6.09 | % 42.08/6.09 | GROUND_INST: instantiating (9) with all_16_8, all_16_7, all_16_6, all_16_4, % 42.08/6.09 | all_16_3, simplifying with (18), (19), (20), (23), (29), (30) % 42.08/6.10 | gives: % 42.08/6.10 | (32) ? [v0: int] : ? [v1: $i] : ? [v2: $i] : ? [v3: int] : ((v3 = 0 & % 42.08/6.10 | internal_friction(all_16_8, all_16_6) = v1 & % 42.08/6.10 | internal_friction(all_16_8, all_16_7) = v2 & greater(v1, v2) = 0 & % 42.08/6.10 | $i(v2) & $i(v1)) | ( ~ (v0 = 0) & organization(all_16_8) = v0)) % 42.08/6.10 | % 42.08/6.10 | DELTA: instantiating (32) with fresh symbols all_26_0, all_26_1, all_26_2, % 42.08/6.10 | all_26_3 gives: % 42.08/6.10 | (33) (all_26_0 = 0 & internal_friction(all_16_8, all_16_6) = all_26_2 & % 42.08/6.10 | internal_friction(all_16_8, all_16_7) = all_26_1 & greater(all_26_2, % 42.08/6.10 | all_26_1) = 0 & $i(all_26_1) & $i(all_26_2)) | ( ~ (all_26_3 = 0) % 42.08/6.10 | & organization(all_16_8) = all_26_3) % 42.08/6.10 | % 42.08/6.10 | BETA: splitting (33) gives: % 42.08/6.10 | % 42.08/6.10 | Case 1: % 42.08/6.10 | | % 42.08/6.10 | | (34) all_26_0 = 0 & internal_friction(all_16_8, all_16_6) = all_26_2 & % 42.08/6.10 | | internal_friction(all_16_8, all_16_7) = all_26_1 & greater(all_26_2, % 42.08/6.10 | | all_26_1) = 0 & $i(all_26_1) & $i(all_26_2) % 42.08/6.10 | | % 42.08/6.10 | | ALPHA: (34) implies: % 42.08/6.10 | | (35) greater(all_26_2, all_26_1) = 0 % 42.08/6.10 | | (36) internal_friction(all_16_8, all_16_7) = all_26_1 % 42.08/6.10 | | (37) internal_friction(all_16_8, all_16_6) = all_26_2 % 42.08/6.10 | | % 42.08/6.10 | | BETA: splitting (31) gives: % 42.08/6.10 | | % 42.08/6.10 | | Case 1: % 42.08/6.10 | | | % 42.08/6.10 | | | (38) all_16_0 = 0 % 42.08/6.10 | | | % 42.08/6.10 | | | REDUCE: (17), (38) imply: % 42.08/6.10 | | | (39) $false % 42.08/6.10 | | | % 42.08/6.10 | | | CLOSE: (39) is inconsistent. % 42.08/6.10 | | | % 42.08/6.10 | | Case 2: % 42.08/6.10 | | | % 42.08/6.10 | | | (40) ? [v0: int] : ( ~ (v0 = 0) & smaller(all_16_1, all_16_2) = v0) % 42.08/6.10 | | | % 42.08/6.10 | | | DELTA: instantiating (40) with fresh symbol all_35_0 gives: % 42.08/6.10 | | | (41) ~ (all_35_0 = 0) & smaller(all_16_1, all_16_2) = all_35_0 % 42.08/6.10 | | | % 42.08/6.10 | | | ALPHA: (41) implies: % 42.08/6.10 | | | (42) ~ (all_35_0 = 0) % 42.08/6.10 | | | (43) smaller(all_16_1, all_16_2) = all_35_0 % 42.08/6.11 | | | % 42.08/6.11 | | | GROUND_INST: instantiating (6) with all_16_8, all_16_6, all_16_7, % 42.08/6.11 | | | all_16_1, all_16_2, all_35_0, simplifying with (18), (19), % 42.08/6.11 | | | (20), (27), (28), (43) gives: % 42.08/6.11 | | | (44) ? [v0: int] : ? [v1: int] : ? [v2: int] : ? [v3: $i] : ? [v4: % 42.08/6.11 | | | $i] : ? [v5: int] : ? [v6: $i] : ? [v7: $i] : ? [v8: int] : % 42.08/6.11 | | | ? [v9: int] : ? [v10: int] : ((v2 = 0 & has_immunity(all_16_8, % 42.08/6.11 | | | all_16_7) = 0) | (v1 = 0 & has_immunity(all_16_8, all_16_6) % 42.08/6.11 | | | = 0) | ( ~ (v0 = 0) & organization(all_16_8) = v0) | % 42.08/6.11 | | | ((all_35_0 = 0 | ((( ~ (v10 = 0) & position(all_16_8, all_16_6) % 42.08/6.11 | | | = v7 & position(all_16_8, all_16_7) = v6 & greater(v6, % 42.08/6.11 | | | v7) = v10 & $i(v7) & $i(v6)) | ( ~ (v9 = 0) & % 42.08/6.11 | | | capability(all_16_8, all_16_6) = v4 & % 42.08/6.11 | | | capability(all_16_8, all_16_7) = v3 & % 42.08/6.11 | | | greater_or_equal(v3, v4) = v9 & $i(v4) & $i(v3))) & (( % 42.08/6.11 | | | ~ (v8 = 0) & position(all_16_8, all_16_6) = v7 & % 42.08/6.11 | | | position(all_16_8, all_16_7) = v6 & % 42.08/6.11 | | | greater_or_equal(v6, v7) = v8 & $i(v7) & $i(v6)) | ( ~ % 42.08/6.11 | | | (v5 = 0) & capability(all_16_8, all_16_6) = v4 & % 42.08/6.11 | | | capability(all_16_8, all_16_7) = v3 & greater(v3, v4) % 42.08/6.11 | | | = v5 & $i(v4) & $i(v3))))) & (all_16_1 = all_16_2 | ( % 42.08/6.11 | | | ~ (v7 = v6) & position(all_16_8, all_16_6) = v7 & % 42.08/6.11 | | | position(all_16_8, all_16_7) = v6 & $i(v7) & $i(v6)) | ( ~ % 42.08/6.11 | | | (v4 = v3) & capability(all_16_8, all_16_6) = v4 & % 42.08/6.11 | | | capability(all_16_8, all_16_7) = v3 & $i(v4) & $i(v3))))) % 42.08/6.11 | | | % 42.08/6.11 | | | GROUND_INST: instantiating (7) with all_16_8, all_16_7, all_16_6, % 42.08/6.11 | | | all_26_2, all_26_1, 0, simplifying with (18), (19), (20), % 42.08/6.11 | | | (35), (36), (37) gives: % 42.08/6.12 | | | (45) ? [v0: int] : ? [v1: $i] : ? [v2: $i] : ? [v3: int] : ? [v4: % 42.08/6.12 | | | int] : ? [v5: $i] : ? [v6: $i] : ? [v7: int] : ? [v8: int] : % 42.08/6.12 | | | ? [v9: int] : (( ~ (v0 = 0) & organization(all_16_8) = v0) | (( ~ % 42.08/6.12 | | | (all_26_1 = all_26_2) | (v6 = v5 & capability(all_16_8, % 42.08/6.12 | | | all_16_6) = v5 & capability(all_16_8, all_16_7) = v5 & % 42.08/6.12 | | | $i(v5)) | ( ~ (v2 = v1) & stock_of_knowledge(all_16_8, % 42.08/6.12 | | | all_16_6) = v1 & stock_of_knowledge(all_16_8, all_16_7) % 42.08/6.12 | | | = v2 & $i(v2) & $i(v1))) & ((v9 = 0 & capability(all_16_8, % 42.08/6.12 | | | all_16_6) = v5 & capability(all_16_8, all_16_7) = v6 & % 42.08/6.12 | | | smaller(v5, v6) = 0 & $i(v6) & $i(v5)) | ( ~ (v8 = 0) & % 42.08/6.12 | | | stock_of_knowledge(all_16_8, all_16_6) = v1 & % 42.08/6.12 | | | stock_of_knowledge(all_16_8, all_16_7) = v2 & % 42.08/6.12 | | | smaller_or_equal(v1, v2) = v8 & $i(v2) & $i(v1))) & ((v7 = % 42.08/6.12 | | | 0 & capability(all_16_8, all_16_6) = v5 & % 42.08/6.12 | | | capability(all_16_8, all_16_7) = v6 & greater(v5, v6) = 0 % 42.08/6.12 | | | & $i(v6) & $i(v5)) | ( ~ (v4 = 0) & % 42.08/6.12 | | | smaller_or_equal(all_26_2, all_26_1) = v4) | ( ~ (v3 = 0) % 42.08/6.12 | | | & stock_of_knowledge(all_16_8, all_16_6) = v1 & % 42.08/6.12 | | | stock_of_knowledge(all_16_8, all_16_7) = v2 & greater(v1, % 42.08/6.12 | | | v2) = v3 & $i(v2) & $i(v1))))) % 42.08/6.12 | | | % 42.08/6.12 | | | DELTA: instantiating (45) with fresh symbols all_45_0, all_45_1, all_45_2, % 42.08/6.12 | | | all_45_3, all_45_4, all_45_5, all_45_6, all_45_7, all_45_8, % 42.08/6.12 | | | all_45_9 gives: % 42.08/6.12 | | | (46) ( ~ (all_45_9 = 0) & organization(all_16_8) = all_45_9) | (( ~ % 42.08/6.12 | | | (all_26_1 = all_26_2) | (all_45_3 = all_45_4 & % 42.08/6.12 | | | capability(all_16_8, all_16_6) = all_45_4 & % 42.08/6.12 | | | capability(all_16_8, all_16_7) = all_45_4 & $i(all_45_4)) | % 42.08/6.12 | | | ( ~ (all_45_7 = all_45_8) & stock_of_knowledge(all_16_8, % 42.08/6.12 | | | all_16_6) = all_45_8 & stock_of_knowledge(all_16_8, % 42.08/6.12 | | | all_16_7) = all_45_7 & $i(all_45_7) & $i(all_45_8))) & % 42.08/6.12 | | | ((all_45_0 = 0 & capability(all_16_8, all_16_6) = all_45_4 & % 42.08/6.12 | | | capability(all_16_8, all_16_7) = all_45_3 & % 42.08/6.12 | | | smaller(all_45_4, all_45_3) = 0 & $i(all_45_3) & % 42.08/6.12 | | | $i(all_45_4)) | ( ~ (all_45_1 = 0) & % 42.08/6.12 | | | stock_of_knowledge(all_16_8, all_16_6) = all_45_8 & % 42.08/6.12 | | | stock_of_knowledge(all_16_8, all_16_7) = all_45_7 & % 42.08/6.12 | | | smaller_or_equal(all_45_8, all_45_7) = all_45_1 & % 42.08/6.12 | | | $i(all_45_7) & $i(all_45_8))) & ((all_45_2 = 0 & % 42.08/6.12 | | | capability(all_16_8, all_16_6) = all_45_4 & % 42.08/6.12 | | | capability(all_16_8, all_16_7) = all_45_3 & % 42.08/6.12 | | | greater(all_45_4, all_45_3) = 0 & $i(all_45_3) & % 42.08/6.12 | | | $i(all_45_4)) | ( ~ (all_45_5 = 0) & % 42.08/6.12 | | | smaller_or_equal(all_26_2, all_26_1) = all_45_5) | ( ~ % 42.08/6.12 | | | (all_45_6 = 0) & stock_of_knowledge(all_16_8, all_16_6) = % 42.08/6.12 | | | all_45_8 & stock_of_knowledge(all_16_8, all_16_7) = all_45_7 % 42.08/6.12 | | | & greater(all_45_8, all_45_7) = all_45_6 & $i(all_45_7) & % 42.08/6.12 | | | $i(all_45_8)))) % 42.08/6.12 | | | % 42.08/6.12 | | | DELTA: instantiating (44) with fresh symbols all_46_0, all_46_1, all_46_2, % 42.08/6.12 | | | all_46_3, all_46_4, all_46_5, all_46_6, all_46_7, all_46_8, % 42.08/6.12 | | | all_46_9, all_46_10 gives: % 42.08/6.13 | | | (47) (all_46_8 = 0 & has_immunity(all_16_8, all_16_7) = 0) | (all_46_9 % 42.08/6.13 | | | = 0 & has_immunity(all_16_8, all_16_6) = 0) | ( ~ (all_46_10 = % 42.08/6.13 | | | 0) & organization(all_16_8) = all_46_10) | ((all_35_0 = 0 | % 42.08/6.13 | | | ((( ~ (all_46_0 = 0) & position(all_16_8, all_16_6) = all_46_3 % 42.08/6.13 | | | & position(all_16_8, all_16_7) = all_46_4 & % 42.08/6.13 | | | greater(all_46_4, all_46_3) = all_46_0 & $i(all_46_3) & % 42.08/6.13 | | | $i(all_46_4)) | ( ~ (all_46_1 = 0) & % 42.08/6.13 | | | capability(all_16_8, all_16_6) = all_46_6 & % 42.08/6.13 | | | capability(all_16_8, all_16_7) = all_46_7 & % 42.08/6.13 | | | greater_or_equal(all_46_7, all_46_6) = all_46_1 & % 42.08/6.13 | | | $i(all_46_6) & $i(all_46_7))) & (( ~ (all_46_2 = 0) & % 42.08/6.13 | | | position(all_16_8, all_16_6) = all_46_3 & % 42.08/6.13 | | | position(all_16_8, all_16_7) = all_46_4 & % 42.08/6.13 | | | greater_or_equal(all_46_4, all_46_3) = all_46_2 & % 42.08/6.13 | | | $i(all_46_3) & $i(all_46_4)) | ( ~ (all_46_5 = 0) & % 42.08/6.13 | | | capability(all_16_8, all_16_6) = all_46_6 & % 42.08/6.13 | | | capability(all_16_8, all_16_7) = all_46_7 & % 42.08/6.13 | | | greater(all_46_7, all_46_6) = all_46_5 & $i(all_46_6) & % 42.08/6.13 | | | $i(all_46_7))))) & (all_16_1 = all_16_2 | ( ~ (all_46_3 % 42.08/6.13 | | | = all_46_4) & position(all_16_8, all_16_6) = all_46_3 & % 42.08/6.13 | | | position(all_16_8, all_16_7) = all_46_4 & $i(all_46_3) & % 42.08/6.13 | | | $i(all_46_4)) | ( ~ (all_46_6 = all_46_7) & % 42.08/6.13 | | | capability(all_16_8, all_16_6) = all_46_6 & % 42.08/6.13 | | | capability(all_16_8, all_16_7) = all_46_7 & $i(all_46_6) & % 42.08/6.13 | | | $i(all_46_7)))) % 42.08/6.13 | | | % 42.08/6.13 | | | BETA: splitting (46) gives: % 42.08/6.13 | | | % 42.08/6.13 | | | Case 1: % 42.08/6.13 | | | | % 42.08/6.13 | | | | (48) ~ (all_45_9 = 0) & organization(all_16_8) = all_45_9 % 42.08/6.13 | | | | % 42.08/6.13 | | | | ALPHA: (48) implies: % 42.08/6.13 | | | | (49) ~ (all_45_9 = 0) % 42.08/6.13 | | | | (50) organization(all_16_8) = all_45_9 % 42.08/6.13 | | | | % 42.08/6.13 | | | | GROUND_INST: instantiating (11) with 0, all_45_9, all_16_8, simplifying % 42.08/6.13 | | | | with (26), (50) gives: % 42.08/6.13 | | | | (51) all_45_9 = 0 % 42.08/6.13 | | | | % 42.08/6.13 | | | | REDUCE: (49), (51) imply: % 42.08/6.13 | | | | (52) $false % 42.08/6.13 | | | | % 42.08/6.13 | | | | CLOSE: (52) is inconsistent. % 42.08/6.13 | | | | % 42.08/6.13 | | | Case 2: % 42.08/6.13 | | | | % 42.58/6.13 | | | | (53) ( ~ (all_26_1 = all_26_2) | (all_45_3 = all_45_4 & % 42.58/6.13 | | | | capability(all_16_8, all_16_6) = all_45_4 & % 42.58/6.13 | | | | capability(all_16_8, all_16_7) = all_45_4 & $i(all_45_4)) | % 42.58/6.13 | | | | ( ~ (all_45_7 = all_45_8) & stock_of_knowledge(all_16_8, % 42.58/6.13 | | | | all_16_6) = all_45_8 & stock_of_knowledge(all_16_8, % 42.58/6.13 | | | | all_16_7) = all_45_7 & $i(all_45_7) & $i(all_45_8))) & % 42.58/6.13 | | | | ((all_45_0 = 0 & capability(all_16_8, all_16_6) = all_45_4 & % 42.58/6.13 | | | | capability(all_16_8, all_16_7) = all_45_3 & % 42.58/6.13 | | | | smaller(all_45_4, all_45_3) = 0 & $i(all_45_3) & % 42.58/6.13 | | | | $i(all_45_4)) | ( ~ (all_45_1 = 0) & % 42.58/6.13 | | | | stock_of_knowledge(all_16_8, all_16_6) = all_45_8 & % 42.58/6.13 | | | | stock_of_knowledge(all_16_8, all_16_7) = all_45_7 & % 42.58/6.13 | | | | smaller_or_equal(all_45_8, all_45_7) = all_45_1 & % 42.58/6.13 | | | | $i(all_45_7) & $i(all_45_8))) & ((all_45_2 = 0 & % 42.58/6.13 | | | | capability(all_16_8, all_16_6) = all_45_4 & % 42.58/6.13 | | | | capability(all_16_8, all_16_7) = all_45_3 & % 42.58/6.13 | | | | greater(all_45_4, all_45_3) = 0 & $i(all_45_3) & % 42.58/6.13 | | | | $i(all_45_4)) | ( ~ (all_45_5 = 0) & % 42.58/6.13 | | | | smaller_or_equal(all_26_2, all_26_1) = all_45_5) | ( ~ % 42.58/6.13 | | | | (all_45_6 = 0) & stock_of_knowledge(all_16_8, all_16_6) = % 42.58/6.13 | | | | all_45_8 & stock_of_knowledge(all_16_8, all_16_7) = all_45_7 % 42.58/6.13 | | | | & greater(all_45_8, all_45_7) = all_45_6 & $i(all_45_7) & % 42.58/6.13 | | | | $i(all_45_8))) % 42.58/6.13 | | | | % 42.58/6.13 | | | | ALPHA: (53) implies: % 42.58/6.14 | | | | (54) (all_45_0 = 0 & capability(all_16_8, all_16_6) = all_45_4 & % 42.58/6.14 | | | | capability(all_16_8, all_16_7) = all_45_3 & smaller(all_45_4, % 42.58/6.14 | | | | all_45_3) = 0 & $i(all_45_3) & $i(all_45_4)) | ( ~ (all_45_1 % 42.58/6.14 | | | | = 0) & stock_of_knowledge(all_16_8, all_16_6) = all_45_8 & % 42.58/6.14 | | | | stock_of_knowledge(all_16_8, all_16_7) = all_45_7 & % 42.58/6.14 | | | | smaller_or_equal(all_45_8, all_45_7) = all_45_1 & $i(all_45_7) % 42.58/6.14 | | | | & $i(all_45_8)) % 42.58/6.14 | | | | % 42.58/6.14 | | | | BETA: splitting (47) gives: % 42.58/6.14 | | | | % 42.58/6.14 | | | | Case 1: % 42.58/6.14 | | | | | % 42.58/6.14 | | | | | (55) (all_46_8 = 0 & has_immunity(all_16_8, all_16_7) = 0) | % 42.58/6.14 | | | | | (all_46_9 = 0 & has_immunity(all_16_8, all_16_6) = 0) % 42.58/6.14 | | | | | % 42.58/6.14 | | | | | BETA: splitting (55) gives: % 42.58/6.14 | | | | | % 42.58/6.14 | | | | | Case 1: % 42.58/6.14 | | | | | | % 42.58/6.14 | | | | | | (56) all_46_8 = 0 & has_immunity(all_16_8, all_16_7) = 0 % 42.58/6.14 | | | | | | % 42.58/6.14 | | | | | | ALPHA: (56) implies: % 42.58/6.14 | | | | | | (57) has_immunity(all_16_8, all_16_7) = 0 % 42.58/6.14 | | | | | | % 42.58/6.14 | | | | | | GROUND_INST: instantiating (assumption_1) with all_16_8, all_16_7, % 42.58/6.14 | | | | | | simplifying with (18), (19), (57) gives: % 42.58/6.14 | | | | | | (58) ? [v0: int] : ? [v1: int] : ((v1 = 0 & % 42.58/6.14 | | | | | | has_endowment(all_16_8) = 0) | ( ~ (v0 = 0) & % 42.58/6.14 | | | | | | organization(all_16_8) = v0)) % 42.58/6.14 | | | | | | % 42.58/6.14 | | | | | | DELTA: instantiating (58) with fresh symbols all_121_0, all_121_1 % 42.58/6.14 | | | | | | gives: % 42.58/6.14 | | | | | | (59) (all_121_0 = 0 & has_endowment(all_16_8) = 0) | ( ~ % 42.58/6.14 | | | | | | (all_121_1 = 0) & organization(all_16_8) = all_121_1) % 42.58/6.14 | | | | | | % 42.58/6.14 | | | | | | BETA: splitting (59) gives: % 42.58/6.14 | | | | | | % 42.58/6.14 | | | | | | Case 1: % 42.58/6.14 | | | | | | | % 42.58/6.14 | | | | | | | (60) all_121_0 = 0 & has_endowment(all_16_8) = 0 % 42.58/6.14 | | | | | | | % 42.58/6.14 | | | | | | | ALPHA: (60) implies: % 42.58/6.14 | | | | | | | (61) has_endowment(all_16_8) = 0 % 42.58/6.14 | | | | | | | % 42.58/6.14 | | | | | | | GROUND_INST: instantiating (10) with all_16_5, 0, all_16_8, % 42.58/6.14 | | | | | | | simplifying with (25), (61) gives: % 42.58/6.14 | | | | | | | (62) all_16_5 = 0 % 42.58/6.14 | | | | | | | % 42.58/6.14 | | | | | | | REDUCE: (16), (62) imply: % 42.58/6.14 | | | | | | | (63) $false % 42.58/6.14 | | | | | | | % 42.58/6.14 | | | | | | | CLOSE: (63) is inconsistent. % 42.58/6.14 | | | | | | | % 42.58/6.14 | | | | | | Case 2: % 42.58/6.14 | | | | | | | % 42.58/6.14 | | | | | | | (64) ~ (all_121_1 = 0) & organization(all_16_8) = all_121_1 % 42.58/6.14 | | | | | | | % 42.58/6.14 | | | | | | | ALPHA: (64) implies: % 42.58/6.14 | | | | | | | (65) ~ (all_121_1 = 0) % 42.58/6.14 | | | | | | | (66) organization(all_16_8) = all_121_1 % 42.58/6.14 | | | | | | | % 42.58/6.14 | | | | | | | GROUND_INST: instantiating (11) with 0, all_121_1, all_16_8, % 42.58/6.14 | | | | | | | simplifying with (26), (66) gives: % 42.58/6.14 | | | | | | | (67) all_121_1 = 0 % 42.58/6.14 | | | | | | | % 42.58/6.14 | | | | | | | REDUCE: (65), (67) imply: % 42.58/6.14 | | | | | | | (68) $false % 42.58/6.14 | | | | | | | % 42.58/6.14 | | | | | | | CLOSE: (68) is inconsistent. % 42.58/6.14 | | | | | | | % 42.58/6.14 | | | | | | End of split % 42.58/6.14 | | | | | | % 42.58/6.14 | | | | | Case 2: % 42.58/6.14 | | | | | | % 42.58/6.14 | | | | | | (69) all_46_9 = 0 & has_immunity(all_16_8, all_16_6) = 0 % 42.58/6.14 | | | | | | % 42.58/6.14 | | | | | | ALPHA: (69) implies: % 42.58/6.15 | | | | | | (70) has_immunity(all_16_8, all_16_6) = 0 % 42.58/6.15 | | | | | | % 42.58/6.15 | | | | | | GROUND_INST: instantiating (assumption_1) with all_16_8, all_16_6, % 42.58/6.15 | | | | | | simplifying with (18), (20), (70) gives: % 42.58/6.15 | | | | | | (71) ? [v0: int] : ? [v1: int] : ((v1 = 0 & % 42.58/6.15 | | | | | | has_endowment(all_16_8) = 0) | ( ~ (v0 = 0) & % 42.58/6.15 | | | | | | organization(all_16_8) = v0)) % 42.58/6.15 | | | | | | % 42.58/6.15 | | | | | | DELTA: instantiating (71) with fresh symbols all_121_0, all_121_1 % 42.58/6.15 | | | | | | gives: % 42.58/6.15 | | | | | | (72) (all_121_0 = 0 & has_endowment(all_16_8) = 0) | ( ~ % 42.58/6.15 | | | | | | (all_121_1 = 0) & organization(all_16_8) = all_121_1) % 42.58/6.15 | | | | | | % 42.58/6.15 | | | | | | BETA: splitting (72) gives: % 42.58/6.15 | | | | | | % 42.58/6.15 | | | | | | Case 1: % 42.58/6.15 | | | | | | | % 42.58/6.15 | | | | | | | (73) all_121_0 = 0 & has_endowment(all_16_8) = 0 % 42.58/6.15 | | | | | | | % 42.58/6.15 | | | | | | | ALPHA: (73) implies: % 42.58/6.15 | | | | | | | (74) has_endowment(all_16_8) = 0 % 42.58/6.15 | | | | | | | % 42.58/6.15 | | | | | | | GROUND_INST: instantiating (10) with all_16_5, 0, all_16_8, % 42.58/6.15 | | | | | | | simplifying with (25), (74) gives: % 42.58/6.15 | | | | | | | (75) all_16_5 = 0 % 42.58/6.15 | | | | | | | % 42.58/6.15 | | | | | | | REDUCE: (16), (75) imply: % 42.58/6.15 | | | | | | | (76) $false % 42.58/6.15 | | | | | | | % 42.58/6.15 | | | | | | | CLOSE: (76) is inconsistent. % 42.58/6.15 | | | | | | | % 42.58/6.15 | | | | | | Case 2: % 42.58/6.15 | | | | | | | % 42.58/6.15 | | | | | | | (77) ~ (all_121_1 = 0) & organization(all_16_8) = all_121_1 % 42.58/6.15 | | | | | | | % 42.58/6.15 | | | | | | | ALPHA: (77) implies: % 42.58/6.15 | | | | | | | (78) ~ (all_121_1 = 0) % 42.58/6.15 | | | | | | | (79) organization(all_16_8) = all_121_1 % 42.58/6.15 | | | | | | | % 42.58/6.15 | | | | | | | GROUND_INST: instantiating (11) with 0, all_121_1, all_16_8, % 42.58/6.15 | | | | | | | simplifying with (26), (79) gives: % 42.58/6.15 | | | | | | | (80) all_121_1 = 0 % 42.58/6.15 | | | | | | | % 42.58/6.15 | | | | | | | REDUCE: (78), (80) imply: % 42.58/6.15 | | | | | | | (81) $false % 42.58/6.15 | | | | | | | % 42.58/6.15 | | | | | | | CLOSE: (81) is inconsistent. % 42.58/6.15 | | | | | | | % 42.58/6.15 | | | | | | End of split % 42.58/6.15 | | | | | | % 42.58/6.15 | | | | | End of split % 42.58/6.15 | | | | | % 42.58/6.15 | | | | Case 2: % 42.58/6.15 | | | | | % 42.58/6.15 | | | | | (82) ( ~ (all_46_10 = 0) & organization(all_16_8) = all_46_10) | % 42.58/6.15 | | | | | ((all_35_0 = 0 | ((( ~ (all_46_0 = 0) & position(all_16_8, % 42.58/6.15 | | | | | all_16_6) = all_46_3 & position(all_16_8, % 42.58/6.15 | | | | | all_16_7) = all_46_4 & greater(all_46_4, all_46_3) % 42.58/6.15 | | | | | = all_46_0 & $i(all_46_3) & $i(all_46_4)) | ( ~ % 42.58/6.15 | | | | | (all_46_1 = 0) & capability(all_16_8, all_16_6) = % 42.58/6.15 | | | | | all_46_6 & capability(all_16_8, all_16_7) = all_46_7 % 42.58/6.15 | | | | | & greater_or_equal(all_46_7, all_46_6) = all_46_1 & % 42.58/6.16 | | | | | $i(all_46_6) & $i(all_46_7))) & (( ~ (all_46_2 = 0) % 42.58/6.16 | | | | | & position(all_16_8, all_16_6) = all_46_3 & % 42.58/6.16 | | | | | position(all_16_8, all_16_7) = all_46_4 & % 42.58/6.16 | | | | | greater_or_equal(all_46_4, all_46_3) = all_46_2 & % 42.58/6.16 | | | | | $i(all_46_3) & $i(all_46_4)) | ( ~ (all_46_5 = 0) & % 42.58/6.16 | | | | | capability(all_16_8, all_16_6) = all_46_6 & % 42.58/6.16 | | | | | capability(all_16_8, all_16_7) = all_46_7 & % 42.58/6.16 | | | | | greater(all_46_7, all_46_6) = all_46_5 & % 42.58/6.16 | | | | | $i(all_46_6) & $i(all_46_7))))) & (all_16_1 = % 42.58/6.16 | | | | | all_16_2 | ( ~ (all_46_3 = all_46_4) & position(all_16_8, % 42.58/6.16 | | | | | all_16_6) = all_46_3 & position(all_16_8, all_16_7) = % 42.58/6.16 | | | | | all_46_4 & $i(all_46_3) & $i(all_46_4)) | ( ~ (all_46_6 % 42.58/6.16 | | | | | = all_46_7) & capability(all_16_8, all_16_6) = % 42.58/6.16 | | | | | all_46_6 & capability(all_16_8, all_16_7) = all_46_7 & % 42.58/6.16 | | | | | $i(all_46_6) & $i(all_46_7)))) % 42.58/6.16 | | | | | % 42.58/6.16 | | | | | BETA: splitting (82) gives: % 42.58/6.16 | | | | | % 42.58/6.16 | | | | | Case 1: % 42.58/6.16 | | | | | | % 42.58/6.16 | | | | | | (83) ~ (all_46_10 = 0) & organization(all_16_8) = all_46_10 % 42.58/6.16 | | | | | | % 42.58/6.16 | | | | | | ALPHA: (83) implies: % 42.58/6.16 | | | | | | (84) ~ (all_46_10 = 0) % 42.58/6.16 | | | | | | (85) organization(all_16_8) = all_46_10 % 42.58/6.16 | | | | | | % 42.58/6.16 | | | | | | GROUND_INST: instantiating (11) with 0, all_46_10, all_16_8, % 42.58/6.16 | | | | | | simplifying with (26), (85) gives: % 42.58/6.16 | | | | | | (86) all_46_10 = 0 % 42.58/6.16 | | | | | | % 42.58/6.16 | | | | | | REDUCE: (84), (86) imply: % 42.58/6.16 | | | | | | (87) $false % 42.58/6.16 | | | | | | % 42.58/6.16 | | | | | | CLOSE: (87) is inconsistent. % 42.58/6.16 | | | | | | % 42.58/6.16 | | | | | Case 2: % 42.58/6.16 | | | | | | % 42.58/6.16 | | | | | | (88) (all_35_0 = 0 | ((( ~ (all_46_0 = 0) & position(all_16_8, % 42.58/6.16 | | | | | | all_16_6) = all_46_3 & position(all_16_8, % 42.58/6.16 | | | | | | all_16_7) = all_46_4 & greater(all_46_4, all_46_3) % 42.58/6.16 | | | | | | = all_46_0 & $i(all_46_3) & $i(all_46_4)) | ( ~ % 42.58/6.16 | | | | | | (all_46_1 = 0) & capability(all_16_8, all_16_6) = % 42.58/6.16 | | | | | | all_46_6 & capability(all_16_8, all_16_7) = all_46_7 % 42.58/6.16 | | | | | | & greater_or_equal(all_46_7, all_46_6) = all_46_1 & % 42.58/6.16 | | | | | | $i(all_46_6) & $i(all_46_7))) & (( ~ (all_46_2 = 0) % 42.58/6.16 | | | | | | & position(all_16_8, all_16_6) = all_46_3 & % 42.58/6.16 | | | | | | position(all_16_8, all_16_7) = all_46_4 & % 42.58/6.16 | | | | | | greater_or_equal(all_46_4, all_46_3) = all_46_2 & % 42.58/6.16 | | | | | | $i(all_46_3) & $i(all_46_4)) | ( ~ (all_46_5 = 0) & % 42.58/6.16 | | | | | | capability(all_16_8, all_16_6) = all_46_6 & % 42.58/6.16 | | | | | | capability(all_16_8, all_16_7) = all_46_7 & % 42.58/6.16 | | | | | | greater(all_46_7, all_46_6) = all_46_5 & % 42.58/6.16 | | | | | | $i(all_46_6) & $i(all_46_7))))) & (all_16_1 = % 42.58/6.16 | | | | | | all_16_2 | ( ~ (all_46_3 = all_46_4) & position(all_16_8, % 42.58/6.16 | | | | | | all_16_6) = all_46_3 & position(all_16_8, all_16_7) = % 42.58/6.16 | | | | | | all_46_4 & $i(all_46_3) & $i(all_46_4)) | ( ~ (all_46_6 % 42.58/6.16 | | | | | | = all_46_7) & capability(all_16_8, all_16_6) = % 42.58/6.16 | | | | | | all_46_6 & capability(all_16_8, all_16_7) = all_46_7 & % 42.58/6.16 | | | | | | $i(all_46_6) & $i(all_46_7))) % 42.58/6.16 | | | | | | % 42.58/6.16 | | | | | | ALPHA: (88) implies: % 42.58/6.16 | | | | | | (89) all_35_0 = 0 | ((( ~ (all_46_0 = 0) & position(all_16_8, % 42.58/6.16 | | | | | | all_16_6) = all_46_3 & position(all_16_8, all_16_7) % 42.58/6.16 | | | | | | = all_46_4 & greater(all_46_4, all_46_3) = all_46_0 & % 42.58/6.16 | | | | | | $i(all_46_3) & $i(all_46_4)) | ( ~ (all_46_1 = 0) & % 42.58/6.16 | | | | | | capability(all_16_8, all_16_6) = all_46_6 & % 42.58/6.16 | | | | | | capability(all_16_8, all_16_7) = all_46_7 & % 42.58/6.16 | | | | | | greater_or_equal(all_46_7, all_46_6) = all_46_1 & % 42.58/6.16 | | | | | | $i(all_46_6) & $i(all_46_7))) & (( ~ (all_46_2 = 0) & % 42.58/6.16 | | | | | | position(all_16_8, all_16_6) = all_46_3 & % 42.58/6.16 | | | | | | position(all_16_8, all_16_7) = all_46_4 & % 42.58/6.16 | | | | | | greater_or_equal(all_46_4, all_46_3) = all_46_2 & % 42.58/6.17 | | | | | | $i(all_46_3) & $i(all_46_4)) | ( ~ (all_46_5 = 0) & % 42.58/6.17 | | | | | | capability(all_16_8, all_16_6) = all_46_6 & % 42.58/6.17 | | | | | | capability(all_16_8, all_16_7) = all_46_7 & % 42.58/6.17 | | | | | | greater(all_46_7, all_46_6) = all_46_5 & $i(all_46_6) % 42.58/6.17 | | | | | | & $i(all_46_7)))) % 42.58/6.17 | | | | | | % 42.58/6.17 | | | | | | BETA: splitting (54) gives: % 42.58/6.17 | | | | | | % 42.58/6.17 | | | | | | Case 1: % 42.58/6.17 | | | | | | | % 42.58/6.17 | | | | | | | (90) all_45_0 = 0 & capability(all_16_8, all_16_6) = all_45_4 & % 42.58/6.17 | | | | | | | capability(all_16_8, all_16_7) = all_45_3 & % 42.58/6.17 | | | | | | | smaller(all_45_4, all_45_3) = 0 & $i(all_45_3) & % 42.58/6.17 | | | | | | | $i(all_45_4) % 42.58/6.17 | | | | | | | % 42.58/6.17 | | | | | | | ALPHA: (90) implies: % 42.58/6.17 | | | | | | | (91) $i(all_45_4) % 42.58/6.17 | | | | | | | (92) $i(all_45_3) % 42.58/6.17 | | | | | | | (93) smaller(all_45_4, all_45_3) = 0 % 42.58/6.17 | | | | | | | (94) capability(all_16_8, all_16_7) = all_45_3 % 42.58/6.17 | | | | | | | (95) capability(all_16_8, all_16_6) = all_45_4 % 42.58/6.17 | | | | | | | % 42.58/6.17 | | | | | | | GROUND_INST: instantiating (4) with all_45_4, all_45_3, % 42.58/6.17 | | | | | | | simplifying with (91), (92), (93) gives: % 42.58/6.17 | | | | | | | (96) greater(all_45_3, all_45_4) = 0 % 42.58/6.17 | | | | | | | % 42.58/6.17 | | | | | | | BETA: splitting (89) gives: % 42.58/6.17 | | | | | | | % 42.58/6.17 | | | | | | | Case 1: % 42.58/6.17 | | | | | | | | % 42.58/6.17 | | | | | | | | (97) all_35_0 = 0 % 42.58/6.17 | | | | | | | | % 42.58/6.17 | | | | | | | | REDUCE: (42), (97) imply: % 42.58/6.17 | | | | | | | | (98) $false % 42.58/6.17 | | | | | | | | % 42.58/6.17 | | | | | | | | CLOSE: (98) is inconsistent. % 42.58/6.17 | | | | | | | | % 42.58/6.17 | | | | | | | Case 2: % 42.58/6.17 | | | | | | | | % 42.58/6.17 | | | | | | | | (99) (( ~ (all_46_0 = 0) & position(all_16_8, all_16_6) = % 42.58/6.17 | | | | | | | | all_46_3 & position(all_16_8, all_16_7) = all_46_4 & % 42.58/6.17 | | | | | | | | greater(all_46_4, all_46_3) = all_46_0 & % 42.58/6.17 | | | | | | | | $i(all_46_3) & $i(all_46_4)) | ( ~ (all_46_1 = 0) & % 42.58/6.17 | | | | | | | | capability(all_16_8, all_16_6) = all_46_6 & % 42.58/6.17 | | | | | | | | capability(all_16_8, all_16_7) = all_46_7 & % 42.58/6.17 | | | | | | | | greater_or_equal(all_46_7, all_46_6) = all_46_1 & % 42.58/6.17 | | | | | | | | $i(all_46_6) & $i(all_46_7))) & (( ~ (all_46_2 = 0) % 42.58/6.17 | | | | | | | | & position(all_16_8, all_16_6) = all_46_3 & % 42.58/6.17 | | | | | | | | position(all_16_8, all_16_7) = all_46_4 & % 42.58/6.17 | | | | | | | | greater_or_equal(all_46_4, all_46_3) = all_46_2 & % 42.58/6.17 | | | | | | | | $i(all_46_3) & $i(all_46_4)) | ( ~ (all_46_5 = 0) & % 42.58/6.17 | | | | | | | | capability(all_16_8, all_16_6) = all_46_6 & % 42.58/6.17 | | | | | | | | capability(all_16_8, all_16_7) = all_46_7 & % 42.58/6.17 | | | | | | | | greater(all_46_7, all_46_6) = all_46_5 & % 42.58/6.17 | | | | | | | | $i(all_46_6) & $i(all_46_7))) % 42.58/6.17 | | | | | | | | % 42.58/6.17 | | | | | | | | ALPHA: (99) implies: % 42.58/6.17 | | | | | | | | (100) ( ~ (all_46_2 = 0) & position(all_16_8, all_16_6) = % 42.58/6.17 | | | | | | | | all_46_3 & position(all_16_8, all_16_7) = all_46_4 & % 42.58/6.17 | | | | | | | | greater_or_equal(all_46_4, all_46_3) = all_46_2 & % 42.58/6.17 | | | | | | | | $i(all_46_3) & $i(all_46_4)) | ( ~ (all_46_5 = 0) & % 42.58/6.17 | | | | | | | | capability(all_16_8, all_16_6) = all_46_6 & % 42.58/6.17 | | | | | | | | capability(all_16_8, all_16_7) = all_46_7 & % 42.58/6.17 | | | | | | | | greater(all_46_7, all_46_6) = all_46_5 & $i(all_46_6) % 42.58/6.17 | | | | | | | | & $i(all_46_7)) % 42.58/6.18 | | | | | | | | (101) ( ~ (all_46_0 = 0) & position(all_16_8, all_16_6) = % 42.58/6.18 | | | | | | | | all_46_3 & position(all_16_8, all_16_7) = all_46_4 & % 42.58/6.18 | | | | | | | | greater(all_46_4, all_46_3) = all_46_0 & $i(all_46_3) % 42.58/6.18 | | | | | | | | & $i(all_46_4)) | ( ~ (all_46_1 = 0) & % 42.58/6.18 | | | | | | | | capability(all_16_8, all_16_6) = all_46_6 & % 42.58/6.18 | | | | | | | | capability(all_16_8, all_16_7) = all_46_7 & % 42.58/6.18 | | | | | | | | greater_or_equal(all_46_7, all_46_6) = all_46_1 & % 42.58/6.18 | | | | | | | | $i(all_46_6) & $i(all_46_7)) % 42.58/6.18 | | | | | | | | % 42.58/6.18 | | | | | | | | BETA: splitting (100) gives: % 42.58/6.18 | | | | | | | | % 42.58/6.18 | | | | | | | | Case 1: % 42.58/6.18 | | | | | | | | | % 42.58/6.18 | | | | | | | | | (102) ~ (all_46_2 = 0) & position(all_16_8, all_16_6) = % 42.58/6.18 | | | | | | | | | all_46_3 & position(all_16_8, all_16_7) = all_46_4 & % 42.58/6.18 | | | | | | | | | greater_or_equal(all_46_4, all_46_3) = all_46_2 & % 42.58/6.18 | | | | | | | | | $i(all_46_3) & $i(all_46_4) % 42.58/6.18 | | | | | | | | | % 42.58/6.18 | | | | | | | | | ALPHA: (102) implies: % 42.58/6.18 | | | | | | | | | (103) ~ (all_46_2 = 0) % 42.58/6.18 | | | | | | | | | (104) greater_or_equal(all_46_4, all_46_3) = all_46_2 % 42.58/6.18 | | | | | | | | | % 42.58/6.18 | | | | | | | | | GROUND_INST: instantiating (2) with all_45_3, all_45_4, % 42.58/6.18 | | | | | | | | | simplifying with (91), (92), (96) gives: % 42.58/6.18 | | | | | | | | | (105) greater_or_equal(all_45_3, all_45_4) = 0 % 42.58/6.18 | | | | | | | | | % 42.58/6.18 | | | | | | | | | BETA: splitting (101) gives: % 42.58/6.18 | | | | | | | | | % 42.58/6.18 | | | | | | | | | Case 1: % 42.58/6.18 | | | | | | | | | | % 42.58/6.18 | | | | | | | | | | (106) ~ (all_46_0 = 0) & position(all_16_8, all_16_6) = % 42.58/6.18 | | | | | | | | | | all_46_3 & position(all_16_8, all_16_7) = all_46_4 % 42.58/6.18 | | | | | | | | | | & greater(all_46_4, all_46_3) = all_46_0 & % 42.58/6.18 | | | | | | | | | | $i(all_46_3) & $i(all_46_4) % 42.58/6.18 | | | | | | | | | | % 42.58/6.18 | | | | | | | | | | ALPHA: (106) implies: % 42.58/6.18 | | | | | | | | | | (107) ~ (all_46_0 = 0) % 42.58/6.18 | | | | | | | | | | (108) $i(all_46_3) % 42.58/6.18 | | | | | | | | | | (109) greater(all_46_4, all_46_3) = all_46_0 % 42.58/6.18 | | | | | | | | | | (110) position(all_16_8, all_16_7) = all_46_4 % 42.58/6.18 | | | | | | | | | | (111) position(all_16_8, all_16_6) = all_46_3 % 42.58/6.18 | | | | | | | | | | % 42.58/6.18 | | | | | | | | | | GROUND_INST: instantiating (8) with all_16_8, all_16_6, % 42.58/6.18 | | | | | | | | | | all_16_7, all_46_4, all_46_3, all_46_0, % 42.58/6.18 | | | | | | | | | | simplifying with (18), (19), (20), (109), (110), % 42.58/6.18 | | | | | | | | | | (111) gives: % 42.58/6.18 | | | | | | | | | | (112) ? [v0: int] : ? [v1: $i] : ? [v2: $i] : ? [v3: % 42.58/6.18 | | | | | | | | | | int] : (( ~ (v0 = 0) & organization(all_16_8) = % 42.58/6.18 | | | | | | | | | | v0) | ((all_46_0 = 0 | ( ~ (v3 = 0) & % 42.58/6.18 | | | | | | | | | | external_ties(all_16_8, all_16_6) = v2 & % 42.58/6.18 | | | | | | | | | | external_ties(all_16_8, all_16_7) = v1 & % 42.58/6.18 | | | | | | | | | | greater(v1, v2) = v3 & $i(v2) & $i(v1))) & % 42.58/6.18 | | | | | | | | | | (all_46_3 = all_46_4 | ( ~ (v2 = v1) & % 42.58/6.18 | | | | | | | | | | external_ties(all_16_8, all_16_6) = v2 & % 42.58/6.18 | | | | | | | | | | external_ties(all_16_8, all_16_7) = v1 & % 42.58/6.18 | | | | | | | | | | $i(v2) & $i(v1))))) % 42.58/6.18 | | | | | | | | | | % 42.58/6.18 | | | | | | | | | | DELTA: instantiating (112) with fresh symbols all_197_0, % 42.58/6.18 | | | | | | | | | | all_197_1, all_197_2, all_197_3 gives: % 42.58/6.19 | | | | | | | | | | (113) ( ~ (all_197_3 = 0) & organization(all_16_8) = % 42.58/6.19 | | | | | | | | | | all_197_3) | ((all_46_0 = 0 | ( ~ (all_197_0 = 0) % 42.58/6.19 | | | | | | | | | | & external_ties(all_16_8, all_16_6) = % 42.58/6.19 | | | | | | | | | | all_197_1 & external_ties(all_16_8, all_16_7) % 42.58/6.19 | | | | | | | | | | = all_197_2 & greater(all_197_2, all_197_1) = % 42.58/6.19 | | | | | | | | | | all_197_0 & $i(all_197_1) & $i(all_197_2))) & % 42.58/6.19 | | | | | | | | | | (all_46_3 = all_46_4 | ( ~ (all_197_1 = % 42.58/6.19 | | | | | | | | | | all_197_2) & external_ties(all_16_8, % 42.58/6.19 | | | | | | | | | | all_16_6) = all_197_1 & % 42.58/6.19 | | | | | | | | | | external_ties(all_16_8, all_16_7) = all_197_2 % 42.58/6.19 | | | | | | | | | | & $i(all_197_1) & $i(all_197_2)))) % 42.58/6.19 | | | | | | | | | | % 42.58/6.19 | | | | | | | | | | BETA: splitting (113) gives: % 42.58/6.19 | | | | | | | | | | % 42.58/6.19 | | | | | | | | | | Case 1: % 42.58/6.19 | | | | | | | | | | | % 42.58/6.19 | | | | | | | | | | | (114) ~ (all_197_3 = 0) & organization(all_16_8) = % 42.58/6.19 | | | | | | | | | | | all_197_3 % 42.58/6.19 | | | | | | | | | | | % 42.58/6.19 | | | | | | | | | | | ALPHA: (114) implies: % 42.58/6.19 | | | | | | | | | | | (115) ~ (all_197_3 = 0) % 42.58/6.19 | | | | | | | | | | | (116) organization(all_16_8) = all_197_3 % 42.58/6.19 | | | | | | | | | | | % 42.58/6.19 | | | | | | | | | | | GROUND_INST: instantiating (11) with 0, all_197_3, all_16_8, % 42.58/6.19 | | | | | | | | | | | simplifying with (26), (116) gives: % 42.58/6.19 | | | | | | | | | | | (117) all_197_3 = 0 % 42.58/6.19 | | | | | | | | | | | % 42.58/6.19 | | | | | | | | | | | REDUCE: (115), (117) imply: % 42.58/6.19 | | | | | | | | | | | (118) $false % 42.58/6.19 | | | | | | | | | | | % 42.58/6.19 | | | | | | | | | | | CLOSE: (118) is inconsistent. % 42.58/6.19 | | | | | | | | | | | % 42.58/6.19 | | | | | | | | | | Case 2: % 42.58/6.19 | | | | | | | | | | | % 42.58/6.19 | | | | | | | | | | | (119) (all_46_0 = 0 | ( ~ (all_197_0 = 0) & % 42.58/6.19 | | | | | | | | | | | external_ties(all_16_8, all_16_6) = all_197_1 % 42.58/6.20 | | | | | | | | | | | & external_ties(all_16_8, all_16_7) = % 42.58/6.20 | | | | | | | | | | | all_197_2 & greater(all_197_2, all_197_1) = % 42.58/6.20 | | | | | | | | | | | all_197_0 & $i(all_197_1) & $i(all_197_2))) & % 42.58/6.20 | | | | | | | | | | | (all_46_3 = all_46_4 | ( ~ (all_197_1 = all_197_2) % 42.58/6.20 | | | | | | | | | | | & external_ties(all_16_8, all_16_6) = % 42.58/6.20 | | | | | | | | | | | all_197_1 & external_ties(all_16_8, all_16_7) % 42.58/6.20 | | | | | | | | | | | = all_197_2 & $i(all_197_1) & $i(all_197_2))) % 42.58/6.20 | | | | | | | | | | | % 42.58/6.20 | | | | | | | | | | | ALPHA: (119) implies: % 42.58/6.20 | | | | | | | | | | | (120) all_46_3 = all_46_4 | ( ~ (all_197_1 = all_197_2) % 42.58/6.20 | | | | | | | | | | | & external_ties(all_16_8, all_16_6) = all_197_1 % 42.88/6.20 | | | | | | | | | | | & external_ties(all_16_8, all_16_7) = all_197_2 % 42.88/6.20 | | | | | | | | | | | & $i(all_197_1) & $i(all_197_2)) % 42.88/6.20 | | | | | | | | | | | (121) all_46_0 = 0 | ( ~ (all_197_0 = 0) & % 42.88/6.20 | | | | | | | | | | | external_ties(all_16_8, all_16_6) = all_197_1 & % 42.88/6.20 | | | | | | | | | | | external_ties(all_16_8, all_16_7) = all_197_2 & % 42.88/6.20 | | | | | | | | | | | greater(all_197_2, all_197_1) = all_197_0 & % 42.88/6.20 | | | | | | | | | | | $i(all_197_1) & $i(all_197_2)) % 42.88/6.20 | | | | | | | | | | | % 42.88/6.20 | | | | | | | | | | | BETA: splitting (121) gives: % 42.88/6.20 | | | | | | | | | | | % 42.88/6.20 | | | | | | | | | | | Case 1: % 42.88/6.20 | | | | | | | | | | | | % 42.88/6.20 | | | | | | | | | | | | (122) all_46_0 = 0 % 42.88/6.20 | | | | | | | | | | | | % 42.88/6.20 | | | | | | | | | | | | REDUCE: (107), (122) imply: % 42.88/6.20 | | | | | | | | | | | | (123) $false % 42.88/6.20 | | | | | | | | | | | | % 42.88/6.20 | | | | | | | | | | | | CLOSE: (123) is inconsistent. % 42.88/6.20 | | | | | | | | | | | | % 42.88/6.20 | | | | | | | | | | | Case 2: % 42.88/6.20 | | | | | | | | | | | | % 42.88/6.20 | | | | | | | | | | | | (124) ~ (all_197_0 = 0) & external_ties(all_16_8, % 42.88/6.20 | | | | | | | | | | | | all_16_6) = all_197_1 & external_ties(all_16_8, % 42.88/6.20 | | | | | | | | | | | | all_16_7) = all_197_2 & greater(all_197_2, % 42.88/6.20 | | | | | | | | | | | | all_197_1) = all_197_0 & $i(all_197_1) & % 42.88/6.20 | | | | | | | | | | | | $i(all_197_2) % 42.88/6.20 | | | | | | | | | | | | % 42.88/6.20 | | | | | | | | | | | | ALPHA: (124) implies: % 42.88/6.20 | | | | | | | | | | | | (125) external_ties(all_16_8, all_16_7) = all_197_2 % 42.88/6.20 | | | | | | | | | | | | (126) external_ties(all_16_8, all_16_6) = all_197_1 % 42.88/6.20 | | | | | | | | | | | | % 42.88/6.20 | | | | | | | | | | | | GROUND_INST: instantiating (assumption_11) with all_16_8, % 42.88/6.20 | | | | | | | | | | | | all_16_7, all_16_6, all_197_1, all_197_2, % 42.88/6.20 | | | | | | | | | | | | simplifying with (18), (19), (20), (125), (126) % 42.88/6.20 | | | | | | | | | | | | gives: % 42.88/6.20 | | | | | | | | | | | | (127) all_197_1 = all_197_2 | ? [v0: int] : ( ~ (v0 = % 42.88/6.20 | | | | | | | | | | | | 0) & organization(all_16_8) = v0) % 42.88/6.20 | | | | | | | | | | | | % 42.88/6.20 | | | | | | | | | | | | BETA: splitting (127) gives: % 42.88/6.20 | | | | | | | | | | | | % 42.88/6.20 | | | | | | | | | | | | Case 1: % 42.88/6.20 | | | | | | | | | | | | | % 42.88/6.20 | | | | | | | | | | | | | (128) all_197_1 = all_197_2 % 42.88/6.20 | | | | | | | | | | | | | % 42.88/6.20 | | | | | | | | | | | | | BETA: splitting (120) gives: % 42.88/6.20 | | | | | | | | | | | | | % 42.88/6.20 | | | | | | | | | | | | | Case 1: % 42.88/6.20 | | | | | | | | | | | | | | % 42.88/6.20 | | | | | | | | | | | | | | (129) all_46_3 = all_46_4 % 42.88/6.20 | | | | | | | | | | | | | | % 42.88/6.20 | | | | | | | | | | | | | | REDUCE: (104), (129) imply: % 42.88/6.20 | | | | | | | | | | | | | | (130) greater_or_equal(all_46_4, all_46_4) = all_46_2 % 42.88/6.20 | | | | | | | | | | | | | | % 42.88/6.20 | | | | | | | | | | | | | | REDUCE: (108), (129) imply: % 42.88/6.21 | | | | | | | | | | | | | | (131) $i(all_46_4) % 42.88/6.21 | | | | | | | | | | | | | | % 42.88/6.21 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_46_4, all_46_2, % 42.88/6.21 | | | | | | | | | | | | | | simplifying with (130), (131) gives: % 42.88/6.21 | | | | | | | | | | | | | | (132) all_46_2 = 0 % 42.88/6.21 | | | | | | | | | | | | | | % 42.88/6.21 | | | | | | | | | | | | | | REDUCE: (103), (132) imply: % 42.88/6.21 | | | | | | | | | | | | | | (133) $false % 42.88/6.21 | | | | | | | | | | | | | | % 42.88/6.21 | | | | | | | | | | | | | | CLOSE: (133) is inconsistent. % 42.88/6.21 | | | | | | | | | | | | | | % 42.88/6.21 | | | | | | | | | | | | | Case 2: % 42.88/6.21 | | | | | | | | | | | | | | % 42.88/6.21 | | | | | | | | | | | | | | (134) ~ (all_197_1 = all_197_2) & % 42.88/6.21 | | | | | | | | | | | | | | external_ties(all_16_8, all_16_6) = all_197_1 & % 42.88/6.21 | | | | | | | | | | | | | | external_ties(all_16_8, all_16_7) = all_197_2 & % 42.88/6.21 | | | | | | | | | | | | | | $i(all_197_1) & $i(all_197_2) % 42.88/6.21 | | | | | | | | | | | | | | % 42.88/6.21 | | | | | | | | | | | | | | ALPHA: (134) implies: % 42.88/6.21 | | | | | | | | | | | | | | (135) ~ (all_197_1 = all_197_2) % 42.88/6.21 | | | | | | | | | | | | | | % 42.88/6.21 | | | | | | | | | | | | | | REDUCE: (128), (135) imply: % 42.88/6.21 | | | | | | | | | | | | | | (136) $false % 42.88/6.21 | | | | | | | | | | | | | | % 42.88/6.21 | | | | | | | | | | | | | | CLOSE: (136) is inconsistent. % 42.88/6.21 | | | | | | | | | | | | | | % 42.88/6.21 | | | | | | | | | | | | | End of split % 42.88/6.21 | | | | | | | | | | | | | % 42.88/6.21 | | | | | | | | | | | | Case 2: % 42.88/6.21 | | | | | | | | | | | | | % 42.88/6.21 | | | | | | | | | | | | | (137) ? [v0: int] : ( ~ (v0 = 0) & % 42.88/6.21 | | | | | | | | | | | | | organization(all_16_8) = v0) % 42.88/6.21 | | | | | | | | | | | | | % 42.88/6.21 | | | | | | | | | | | | | DELTA: instantiating (137) with fresh symbol all_235_0 % 42.88/6.21 | | | | | | | | | | | | | gives: % 42.88/6.21 | | | | | | | | | | | | | (138) ~ (all_235_0 = 0) & organization(all_16_8) = % 42.88/6.21 | | | | | | | | | | | | | all_235_0 % 42.88/6.21 | | | | | | | | | | | | | % 42.88/6.21 | | | | | | | | | | | | | ALPHA: (138) implies: % 42.88/6.21 | | | | | | | | | | | | | (139) ~ (all_235_0 = 0) % 42.88/6.21 | | | | | | | | | | | | | (140) organization(all_16_8) = all_235_0 % 42.88/6.21 | | | | | | | | | | | | | % 42.88/6.21 | | | | | | | | | | | | | GROUND_INST: instantiating (11) with 0, all_235_0, all_16_8, % 42.88/6.21 | | | | | | | | | | | | | simplifying with (26), (140) gives: % 42.88/6.21 | | | | | | | | | | | | | (141) all_235_0 = 0 % 42.88/6.21 | | | | | | | | | | | | | % 42.88/6.21 | | | | | | | | | | | | | REDUCE: (139), (141) imply: % 42.88/6.21 | | | | | | | | | | | | | (142) $false % 42.88/6.21 | | | | | | | | | | | | | % 42.88/6.21 | | | | | | | | | | | | | CLOSE: (142) is inconsistent. % 42.88/6.21 | | | | | | | | | | | | | % 42.88/6.21 | | | | | | | | | | | | End of split % 42.88/6.21 | | | | | | | | | | | | % 42.88/6.21 | | | | | | | | | | | End of split % 42.88/6.21 | | | | | | | | | | | % 42.88/6.21 | | | | | | | | | | End of split % 42.88/6.21 | | | | | | | | | | % 42.88/6.21 | | | | | | | | | Case 2: % 42.88/6.21 | | | | | | | | | | % 42.88/6.21 | | | | | | | | | | (143) ~ (all_46_1 = 0) & capability(all_16_8, all_16_6) % 42.88/6.21 | | | | | | | | | | = all_46_6 & capability(all_16_8, all_16_7) = % 42.88/6.21 | | | | | | | | | | all_46_7 & greater_or_equal(all_46_7, all_46_6) = % 42.88/6.21 | | | | | | | | | | all_46_1 & $i(all_46_6) & $i(all_46_7) % 42.88/6.21 | | | | | | | | | | % 42.88/6.21 | | | | | | | | | | ALPHA: (143) implies: % 42.88/6.21 | | | | | | | | | | (144) ~ (all_46_1 = 0) % 42.88/6.21 | | | | | | | | | | (145) greater_or_equal(all_46_7, all_46_6) = all_46_1 % 42.88/6.21 | | | | | | | | | | (146) capability(all_16_8, all_16_7) = all_46_7 % 42.88/6.21 | | | | | | | | | | (147) capability(all_16_8, all_16_6) = all_46_6 % 42.88/6.21 | | | | | | | | | | % 42.88/6.21 | | | | | | | | | | GROUND_INST: instantiating (14) with all_45_3, all_46_7, % 42.88/6.21 | | | | | | | | | | all_16_7, all_16_8, simplifying with (94), (146) % 42.88/6.21 | | | | | | | | | | gives: % 42.88/6.21 | | | | | | | | | | (148) all_46_7 = all_45_3 % 42.88/6.21 | | | | | | | | | | % 42.88/6.22 | | | | | | | | | | GROUND_INST: instantiating (14) with all_45_4, all_46_6, % 42.88/6.22 | | | | | | | | | | all_16_6, all_16_8, simplifying with (95), (147) % 42.88/6.22 | | | | | | | | | | gives: % 42.88/6.22 | | | | | | | | | | (149) all_46_6 = all_45_4 % 42.88/6.22 | | | | | | | | | | % 42.88/6.22 | | | | | | | | | | REDUCE: (145), (148), (149) imply: % 42.88/6.22 | | | | | | | | | | (150) greater_or_equal(all_45_3, all_45_4) = all_46_1 % 42.88/6.22 | | | | | | | | | | % 42.88/6.22 | | | | | | | | | | GROUND_INST: instantiating (12) with 0, all_46_1, all_45_4, % 42.88/6.22 | | | | | | | | | | all_45_3, simplifying with (105), (150) gives: % 42.88/6.22 | | | | | | | | | | (151) all_46_1 = 0 % 42.88/6.22 | | | | | | | | | | % 42.88/6.22 | | | | | | | | | | REDUCE: (144), (151) imply: % 42.88/6.22 | | | | | | | | | | (152) $false % 42.88/6.22 | | | | | | | | | | % 42.88/6.22 | | | | | | | | | | CLOSE: (152) is inconsistent. % 42.88/6.22 | | | | | | | | | | % 42.88/6.22 | | | | | | | | | End of split % 42.88/6.22 | | | | | | | | | % 42.88/6.22 | | | | | | | | Case 2: % 42.88/6.22 | | | | | | | | | % 42.88/6.22 | | | | | | | | | (153) ~ (all_46_5 = 0) & capability(all_16_8, all_16_6) = % 42.88/6.22 | | | | | | | | | all_46_6 & capability(all_16_8, all_16_7) = all_46_7 % 42.88/6.22 | | | | | | | | | & greater(all_46_7, all_46_6) = all_46_5 & % 42.88/6.22 | | | | | | | | | $i(all_46_6) & $i(all_46_7) % 42.88/6.22 | | | | | | | | | % 42.88/6.22 | | | | | | | | | ALPHA: (153) implies: % 42.88/6.22 | | | | | | | | | (154) ~ (all_46_5 = 0) % 42.88/6.22 | | | | | | | | | (155) greater(all_46_7, all_46_6) = all_46_5 % 42.88/6.22 | | | | | | | | | (156) capability(all_16_8, all_16_7) = all_46_7 % 42.88/6.22 | | | | | | | | | (157) capability(all_16_8, all_16_6) = all_46_6 % 42.88/6.22 | | | | | | | | | % 42.88/6.22 | | | | | | | | | GROUND_INST: instantiating (14) with all_45_3, all_46_7, % 42.88/6.22 | | | | | | | | | all_16_7, all_16_8, simplifying with (94), (156) % 42.88/6.22 | | | | | | | | | gives: % 42.88/6.22 | | | | | | | | | (158) all_46_7 = all_45_3 % 42.88/6.22 | | | | | | | | | % 42.88/6.22 | | | | | | | | | GROUND_INST: instantiating (14) with all_45_4, all_46_6, % 42.88/6.22 | | | | | | | | | all_16_6, all_16_8, simplifying with (95), (157) % 42.88/6.22 | | | | | | | | | gives: % 42.88/6.22 | | | | | | | | | (159) all_46_6 = all_45_4 % 42.88/6.22 | | | | | | | | | % 42.88/6.22 | | | | | | | | | REDUCE: (155), (158), (159) imply: % 42.88/6.22 | | | | | | | | | (160) greater(all_45_3, all_45_4) = all_46_5 % 42.88/6.22 | | | | | | | | | % 42.88/6.22 | | | | | | | | | GROUND_INST: instantiating (13) with 0, all_46_5, all_45_4, % 42.88/6.22 | | | | | | | | | all_45_3, simplifying with (96), (160) gives: % 42.88/6.22 | | | | | | | | | (161) all_46_5 = 0 % 42.88/6.22 | | | | | | | | | % 42.88/6.22 | | | | | | | | | REDUCE: (154), (161) imply: % 42.88/6.22 | | | | | | | | | (162) $false % 42.88/6.22 | | | | | | | | | % 42.88/6.22 | | | | | | | | | CLOSE: (162) is inconsistent. % 42.88/6.22 | | | | | | | | | % 42.88/6.22 | | | | | | | | End of split % 42.88/6.22 | | | | | | | | % 42.88/6.22 | | | | | | | End of split % 42.88/6.22 | | | | | | | % 42.88/6.22 | | | | | | Case 2: % 42.88/6.22 | | | | | | | % 42.88/6.22 | | | | | | | (163) ~ (all_45_1 = 0) & stock_of_knowledge(all_16_8, % 42.88/6.22 | | | | | | | all_16_6) = all_45_8 & stock_of_knowledge(all_16_8, % 42.88/6.22 | | | | | | | all_16_7) = all_45_7 & smaller_or_equal(all_45_8, % 42.88/6.22 | | | | | | | all_45_7) = all_45_1 & $i(all_45_7) & $i(all_45_8) % 42.88/6.22 | | | | | | | % 42.88/6.22 | | | | | | | ALPHA: (163) implies: % 42.88/6.22 | | | | | | | (164) ~ (all_45_1 = 0) % 42.88/6.22 | | | | | | | (165) $i(all_45_7) % 42.88/6.22 | | | | | | | (166) smaller_or_equal(all_45_8, all_45_7) = all_45_1 % 42.88/6.22 | | | | | | | (167) stock_of_knowledge(all_16_8, all_16_7) = all_45_7 % 42.88/6.22 | | | | | | | (168) stock_of_knowledge(all_16_8, all_16_6) = all_45_8 % 42.88/6.22 | | | | | | | % 42.88/6.23 | | | | | | | GROUND_INST: instantiating (assumption_10) with all_16_8, % 42.88/6.23 | | | | | | | all_16_7, all_16_6, all_45_8, all_45_7, simplifying % 42.88/6.23 | | | | | | | with (18), (19), (20), (167), (168) gives: % 42.88/6.23 | | | | | | | (169) all_45_7 = all_45_8 | ? [v0: int] : ( ~ (v0 = 0) & % 42.88/6.23 | | | | | | | organization(all_16_8) = v0) % 42.88/6.23 | | | | | | | % 42.88/6.23 | | | | | | | BETA: splitting (169) gives: % 42.88/6.23 | | | | | | | % 42.88/6.23 | | | | | | | Case 1: % 42.88/6.23 | | | | | | | | % 42.88/6.23 | | | | | | | | (170) all_45_7 = all_45_8 % 42.88/6.23 | | | | | | | | % 42.88/6.23 | | | | | | | | REDUCE: (166), (170) imply: % 42.88/6.23 | | | | | | | | (171) smaller_or_equal(all_45_8, all_45_8) = all_45_1 % 42.88/6.23 | | | | | | | | % 42.88/6.23 | | | | | | | | REDUCE: (165), (170) imply: % 42.88/6.23 | | | | | | | | (172) $i(all_45_8) % 42.88/6.23 | | | | | | | | % 42.88/6.23 | | | | | | | | GROUND_INST: instantiating (1) with all_45_8, all_45_1, % 42.88/6.23 | | | | | | | | simplifying with (171), (172) gives: % 42.88/6.23 | | | | | | | | (173) all_45_1 = 0 % 42.88/6.23 | | | | | | | | % 42.88/6.23 | | | | | | | | REDUCE: (164), (173) imply: % 42.88/6.23 | | | | | | | | (174) $false % 42.88/6.23 | | | | | | | | % 42.88/6.23 | | | | | | | | CLOSE: (174) is inconsistent. % 42.88/6.23 | | | | | | | | % 42.88/6.23 | | | | | | | Case 2: % 42.88/6.23 | | | | | | | | % 42.88/6.23 | | | | | | | | (175) ? [v0: int] : ( ~ (v0 = 0) & organization(all_16_8) = % 42.88/6.23 | | | | | | | | v0) % 42.88/6.23 | | | | | | | | % 42.88/6.23 | | | | | | | | DELTA: instantiating (175) with fresh symbol all_174_0 gives: % 42.88/6.23 | | | | | | | | (176) ~ (all_174_0 = 0) & organization(all_16_8) = all_174_0 % 42.88/6.23 | | | | | | | | % 42.88/6.23 | | | | | | | | ALPHA: (176) implies: % 42.88/6.23 | | | | | | | | (177) ~ (all_174_0 = 0) % 42.88/6.23 | | | | | | | | (178) organization(all_16_8) = all_174_0 % 42.88/6.23 | | | | | | | | % 42.88/6.23 | | | | | | | | GROUND_INST: instantiating (11) with 0, all_174_0, all_16_8, % 42.88/6.23 | | | | | | | | simplifying with (26), (178) gives: % 42.88/6.23 | | | | | | | | (179) all_174_0 = 0 % 42.88/6.23 | | | | | | | | % 42.88/6.23 | | | | | | | | REDUCE: (177), (179) imply: % 42.88/6.23 | | | | | | | | (180) $false % 42.88/6.23 | | | | | | | | % 42.88/6.23 | | | | | | | | CLOSE: (180) is inconsistent. % 42.88/6.23 | | | | | | | | % 42.88/6.23 | | | | | | | End of split % 42.88/6.23 | | | | | | | % 42.88/6.23 | | | | | | End of split % 42.88/6.23 | | | | | | % 42.88/6.23 | | | | | End of split % 42.88/6.23 | | | | | % 42.88/6.23 | | | | End of split % 42.88/6.23 | | | | % 42.88/6.23 | | | End of split % 42.88/6.23 | | | % 42.88/6.23 | | End of split % 42.88/6.23 | | % 42.88/6.23 | Case 2: % 42.88/6.23 | | % 42.88/6.23 | | (181) ~ (all_26_3 = 0) & organization(all_16_8) = all_26_3 % 42.88/6.23 | | % 42.88/6.23 | | ALPHA: (181) implies: % 42.88/6.23 | | (182) ~ (all_26_3 = 0) % 42.88/6.23 | | (183) organization(all_16_8) = all_26_3 % 42.88/6.23 | | % 42.88/6.23 | | GROUND_INST: instantiating (11) with 0, all_26_3, all_16_8, simplifying with % 42.88/6.23 | | (26), (183) gives: % 42.88/6.23 | | (184) all_26_3 = 0 % 42.88/6.23 | | % 42.88/6.23 | | REDUCE: (182), (184) imply: % 42.88/6.23 | | (185) $false % 42.88/6.23 | | % 42.88/6.23 | | CLOSE: (185) is inconsistent. % 42.88/6.23 | | % 42.88/6.23 | End of split % 42.88/6.23 | % 42.88/6.23 End of proof % 42.88/6.23 % SZS output end Proof for theBenchmark % 42.88/6.23 % 42.88/6.23 5681ms %------------------------------------------------------------------------------