%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : MGT037+1 : TPTP v9.3.0. Released v2.0.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n031.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 06:17:24 AM UTC 2026 % Result : Theorem 39.52s 5.86s % Output : Proof 42.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT037+1 : TPTP v9.3.0. Released v2.0.0. % 0.00/0.04 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.09/0.36 % Computer : n031.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Mon Sep 7 12:46:11 UTC 2026 % 0.09/0.36 % CPUTime : % 0.13/0.38 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. % 0.65/0.71 ________ _____ % 0.65/0.71 ___ __ \_________(_)________________________________ % 0.65/0.71 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.65/0.71 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.65/0.71 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.65/0.71 % 0.65/0.71 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.65/0.71 (2023-06-19) % 0.65/0.71 % 0.65/0.71 (c) Philipp Rümmer, 2009-2023 % 0.65/0.71 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.65/0.71 Amanda Stjerna. % 0.65/0.71 Free software under BSD-3-Clause. % 0.65/0.71 % 0.65/0.71 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.65/0.71 % 0.65/0.71 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.65/0.73 Running up to 7 provers in parallel. % 0.65/0.75 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.65/0.75 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.65/0.75 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.65/0.75 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.65/0.75 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.65/0.75 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.65/0.75 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.20/1.29 Prover 1: Preprocessing ... % 3.20/1.29 Prover 4: Preprocessing ... % 3.98/1.33 Prover 3: Preprocessing ... % 3.98/1.33 Prover 6: Preprocessing ... % 3.98/1.33 Prover 5: Preprocessing ... % 3.98/1.33 Prover 2: Preprocessing ... % 3.98/1.33 Prover 0: Preprocessing ... % 8.71/1.96 Prover 1: Constructing countermodel ... % 8.71/1.96 Prover 3: Constructing countermodel ... % 8.71/1.97 Prover 6: Constructing countermodel ... % 8.71/1.99 Prover 5: Proving ... % 8.71/2.02 Prover 2: Proving ... % 9.77/2.11 Prover 4: Constructing countermodel ... % 11.04/2.27 Prover 0: Proving ... % 11.04/2.28 Prover 6: gave up % 11.04/2.29 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 11.82/2.35 Prover 3: gave up % 11.82/2.35 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 11.82/2.36 Prover 7: Preprocessing ... % 12.63/2.41 Prover 1: gave up % 12.63/2.41 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 12.63/2.42 Prover 8: Preprocessing ... % 12.63/2.48 Prover 9: Preprocessing ... % 14.19/2.68 Prover 8: Warning: ignoring some quantifiers % 14.19/2.69 Prover 7: Constructing countermodel ... % 14.99/2.70 Prover 8: Constructing countermodel ... % 15.80/2.86 Prover 9: Constructing countermodel ... % 16.57/3.01 Prover 8: gave up % 16.57/3.01 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 18.42/3.18 Prover 10: Preprocessing ... % 19.74/3.34 Prover 10: Constructing countermodel ... % 22.11/3.62 Prover 10: gave up % 22.11/3.63 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 22.11/3.70 Prover 11: Preprocessing ... % 24.47/4.00 Prover 11: Constructing countermodel ... % 24.47/4.07 Prover 7: gave up % 24.47/4.07 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391 % 26.02/4.14 Prover 12: Preprocessing ... % 28.45/4.43 Prover 12: Proving ... % 39.52/5.85 Prover 4: Found proof (size 603) % 39.52/5.85 Prover 4: proved (5108ms) % 39.52/5.85 Prover 9: stopped % 39.52/5.86 Prover 12: stopped % 39.52/5.86 Prover 2: stopped % 39.52/5.86 Prover 11: stopped % 39.52/5.86 Prover 0: stopped % 39.52/5.86 Prover 5: stopped % 39.52/5.86 % 39.52/5.86 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 39.52/5.86 % 40.15/6.00 % SZS output start Proof for theBenchmark % 40.15/6.00 Assumptions after simplification: % 40.15/6.00 --------------------------------- % 40.15/6.01 % 40.15/6.01 (a1) % 40.72/6.04 $i(an_organisation) & $i(zero) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 40.72/6.04 (number_of_organizations(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: % 40.72/6.04 any] : ? [v4: any] : ? [v5: $i] : ? [v6: any] : ? [v7: any] : % 40.72/6.04 (appear(an_organisation, v0) = v5 & greater_or_equal(v1, v5) = v6 & % 40.72/6.04 environment(v0) = v3 & in_environment(v0, v1) = v4 & greater(v2, zero) = % 40.72/6.04 v7 & $i(v5) & ( ~ (v6 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | v7 = 0))) & ! % 40.72/6.04 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (appear(an_organisation, v0) = v2) % 40.72/6.04 | ~ (greater_or_equal(v1, v2) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : % 40.72/6.04 ? [v4: any] : ? [v5: $i] : ? [v6: any] : (number_of_organizations(v0, v1) % 40.72/6.04 = v5 & environment(v0) = v3 & in_environment(v0, v1) = v4 & greater(v5, % 40.72/6.04 zero) = v6 & $i(v5) & ( ~ (v4 = 0) | ~ (v3 = 0) | v6 = 0))) & ! [v0: % 40.72/6.04 $i] : ! [v1: $i] : ( ~ (in_environment(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) % 40.72/6.04 | ? [v2: any] : ? [v3: $i] : ? [v4: any] : ? [v5: $i] : ? [v6: any] : % 40.72/6.04 (number_of_organizations(v0, v1) = v5 & appear(an_organisation, v0) = v3 & % 40.72/6.04 greater_or_equal(v1, v3) = v4 & environment(v0) = v2 & greater(v5, zero) = % 40.72/6.04 v6 & $i(v5) & $i(v3) & ( ~ (v4 = 0) | ~ (v2 = 0) | v6 = 0))) % 40.72/6.04 % 40.72/6.04 (a12) % 40.72/6.06 $i(zero) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] % 40.72/6.06 : ! [v5: int] : ! [v6: $i] : ! [v7: $i] : (v5 = 0 | ~ (resilience(v2) = % 40.72/6.06 v6) | ~ (resilience(v1) = v7) | ~ (environment(v0) = 0) | ~ % 40.72/6.06 (growth_rate(v1, v3) = v4) | ~ (greater(v6, v7) = 0) | ~ (greater(zero, % 40.72/6.06 v4) = v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v8: any] % 40.72/6.06 : ? [v9: $i] : ? [v10: any] : (in_environment(v0, v3) = v8 & % 40.72/6.06 growth_rate(v2, v3) = v9 & greater(zero, v9) = v10 & $i(v9) & ( ~ (v10 = % 40.72/6.06 0) | ~ (v8 = 0)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 40.72/6.06 [v3: $i] : ! [v4: $i] : ! [v5: int] : ! [v6: $i] : (v5 = 0 | ~ % 40.72/6.06 (environment(v0) = 0) | ~ (growth_rate(v2, v3) = v6) | ~ (growth_rate(v1, % 40.72/6.06 v3) = v4) | ~ (greater(zero, v6) = 0) | ~ (greater(zero, v4) = v5) | % 40.72/6.06 ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v7: any] : ? [v8: $i] : % 40.72/6.06 ? [v9: $i] : ? [v10: any] : (resilience(v2) = v8 & resilience(v1) = v9 & % 40.72/6.06 in_environment(v0, v3) = v7 & greater(v8, v9) = v10 & $i(v9) & $i(v8) & ( % 40.72/6.06 ~ (v10 = 0) | ~ (v7 = 0)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 40.72/6.06 ! [v3: $i] : ! [v4: $i] : ! [v5: int] : ! [v6: $i] : (v5 = 0 | ~ % 40.72/6.06 (in_environment(v0, v3) = 0) | ~ (growth_rate(v2, v3) = v6) | ~ % 40.72/6.06 (growth_rate(v1, v3) = v4) | ~ (greater(zero, v6) = 0) | ~ (greater(zero, % 40.72/6.06 v4) = v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v7: any] % 40.72/6.06 : ? [v8: $i] : ? [v9: $i] : ? [v10: any] : (resilience(v2) = v8 & % 40.72/6.06 resilience(v1) = v9 & environment(v0) = v7 & greater(v8, v9) = v10 & % 40.72/6.06 $i(v9) & $i(v8) & ( ~ (v10 = 0) | ~ (v7 = 0)))) & ! [v0: $i] : ! [v1: % 40.72/6.06 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : % 40.72/6.06 ( ~ (resilience(v2) = v4) | ~ (resilience(v1) = v5) | ~ (environment(v0) = % 40.72/6.06 0) | ~ (growth_rate(v2, v3) = v6) | ~ (greater(v4, v5) = 0) | ~ % 40.72/6.06 (greater(zero, v6) = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? % 40.72/6.06 [v7: any] : ? [v8: $i] : ? [v9: any] : (in_environment(v0, v3) = v7 & % 40.72/6.06 growth_rate(v1, v3) = v8 & greater(zero, v8) = v9 & $i(v8) & ( ~ (v7 = 0) % 40.72/6.06 | v9 = 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! % 40.72/6.06 [v4: $i] : ! [v5: $i] : ( ~ (resilience(v2) = v4) | ~ (resilience(v1) = v5) % 40.72/6.06 | ~ (in_environment(v0, v3) = 0) | ~ (greater(v4, v5) = 0) | ~ $i(v3) | % 40.72/6.06 ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: $i] : ? [v8: any] % 40.72/6.06 : ? [v9: $i] : ? [v10: any] : (environment(v0) = v6 & growth_rate(v2, v3) % 40.72/6.06 = v9 & growth_rate(v1, v3) = v7 & greater(zero, v9) = v10 & greater(zero, % 40.72/6.06 v7) = v8 & $i(v9) & $i(v7) & ( ~ (v10 = 0) | ~ (v6 = 0) | v8 = 0))) % 40.72/6.06 % 40.72/6.06 (a2) % 40.72/6.06 $i(first_movers) & $i(efficient_producers) & ? [v0: $i] : ? [v1: $i] : % 40.72/6.06 (resilience(first_movers) = v1 & resilience(efficient_producers) = v0 & % 40.72/6.06 greater(v0, v1) = 0 & $i(v1) & $i(v0)) % 40.72/6.06 % 40.72/6.06 (a3) % 40.72/6.07 $i(zero) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~ % 40.72/6.07 (equilibrium(v0) = v2) | ~ (greater(v2, v1) = v3) | ~ $i(v1) | ~ $i(v0) | % 40.72/6.07 ? [v4: any] : ? [v5: any] : ? [v6: $i] : ? [v7: any] : ? [v8: $i] : ? % 40.72/6.07 [v9: any] : ? [v10: any] : (resources(v0, v1) = v8 & constant(v8) = v10 & % 40.72/6.07 decreases(v8) = v9 & number_of_organizations(v0, v1) = v6 & % 40.72/6.07 environment(v0) = v4 & in_environment(v0, v1) = v5 & greater(v6, zero) = % 40.72/6.07 v7 & $i(v8) & $i(v6) & ( ~ (v7 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | (( ~ (v3 % 40.72/6.08 = 0) | v9 = 0) & (v10 = 0 | v3 = 0))))) & ! [v0: $i] : ! [v1: % 40.72/6.08 $i] : ! [v2: $i] : ( ~ (resources(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | % 40.72/6.08 ? [v3: any] : ? [v4: any] : ? [v5: $i] : ? [v6: any] : ? [v7: $i] : ? % 40.72/6.08 [v8: any] : ? [v9: any] : ? [v10: any] : (equilibrium(v0) = v7 & % 40.72/6.08 constant(v2) = v10 & decreases(v2) = v9 & number_of_organizations(v0, v1) % 40.72/6.08 = v5 & environment(v0) = v3 & in_environment(v0, v1) = v4 & greater(v7, % 40.72/6.08 v1) = v8 & greater(v5, zero) = v6 & $i(v7) & $i(v5) & ( ~ (v6 = 0) | ~ % 40.72/6.08 (v4 = 0) | ~ (v3 = 0) | (( ~ (v8 = 0) | v9 = 0) & (v10 = 0 | v8 = % 40.72/6.08 0))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 40.72/6.08 (number_of_organizations(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: % 40.72/6.08 any] : ? [v4: any] : ? [v5: any] : ? [v6: $i] : ? [v7: any] : ? [v8: % 40.72/6.08 $i] : ? [v9: any] : ? [v10: any] : (resources(v0, v1) = v8 & % 40.72/6.08 equilibrium(v0) = v6 & constant(v8) = v10 & decreases(v8) = v9 & % 40.72/6.08 environment(v0) = v3 & in_environment(v0, v1) = v4 & greater(v6, v1) = v7 % 40.72/6.08 & greater(v2, zero) = v5 & $i(v8) & $i(v6) & ( ~ (v5 = 0) | ~ (v4 = 0) | % 40.72/6.08 ~ (v3 = 0) | (( ~ (v7 = 0) | v9 = 0) & (v10 = 0 | v7 = 0))))) & ! [v0: % 40.72/6.08 $i] : ! [v1: $i] : ( ~ (in_environment(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) % 40.72/6.08 | ? [v2: any] : ? [v3: $i] : ? [v4: any] : ? [v5: $i] : ? [v6: any] : % 40.72/6.08 ? [v7: $i] : ? [v8: any] : ? [v9: any] : (resources(v0, v1) = v7 & % 40.72/6.08 equilibrium(v0) = v5 & constant(v7) = v9 & decreases(v7) = v8 & % 40.72/6.08 number_of_organizations(v0, v1) = v3 & environment(v0) = v2 & greater(v5, % 40.72/6.08 v1) = v6 & greater(v3, zero) = v4 & $i(v7) & $i(v5) & $i(v3) & ( ~ (v4 = % 40.72/6.08 0) | ~ (v2 = 0) | (( ~ (v6 = 0) | v8 = 0) & (v9 = 0 | v6 = 0))))) % 40.72/6.08 % 40.72/6.08 (a6) % 40.72/6.08 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (resources(v0, v1) = v2) | ~ % 40.72/6.08 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: % 40.72/6.08 $i] : ? [v7: any] : ? [v8: any] : ? [v9: any] : (constant(v6) = v9 & % 40.72/6.08 constant(v2) = v8 & decreases(v6) = v7 & decreases(v2) = v5 & % 40.72/6.08 number_of_organizations(v0, v1) = v6 & environment(v0) = v3 & % 40.72/6.08 in_environment(v0, v1) = v4 & $i(v6) & ( ~ (v4 = 0) | ~ (v3 = 0) | (( ~ % 40.72/6.08 (v8 = 0) | v9 = 0) & ( ~ (v7 = 0) | ~ (v5 = 0)))))) & ! [v0: $i] : % 40.72/6.08 ! [v1: $i] : ! [v2: $i] : ( ~ (number_of_organizations(v0, v1) = v2) | ~ % 40.72/6.08 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: $i] : ? [v6: % 40.72/6.08 any] : ? [v7: any] : ? [v8: any] : ? [v9: any] : (resources(v0, v1) = % 40.72/6.08 v5 & constant(v5) = v8 & constant(v2) = v9 & decreases(v5) = v6 & % 40.72/6.08 decreases(v2) = v7 & environment(v0) = v3 & in_environment(v0, v1) = v4 & % 40.72/6.08 $i(v5) & ( ~ (v4 = 0) | ~ (v3 = 0) | (( ~ (v8 = 0) | v9 = 0) & ( ~ (v7 = % 40.72/6.08 0) | ~ (v6 = 0)))))) & ! [v0: $i] : ! [v1: $i] : ( ~ % 40.72/6.08 (in_environment(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ? % 40.72/6.08 [v3: $i] : ? [v4: any] : ? [v5: $i] : ? [v6: any] : ? [v7: any] : ? % 40.72/6.08 [v8: any] : (resources(v0, v1) = v3 & constant(v5) = v8 & constant(v3) = v7 % 40.72/6.08 & decreases(v5) = v6 & decreases(v3) = v4 & number_of_organizations(v0, % 40.72/6.08 v1) = v5 & environment(v0) = v2 & $i(v5) & $i(v3) & ( ~ (v2 = 0) | (( ~ % 40.72/6.08 (v7 = 0) | v8 = 0) & ( ~ (v6 = 0) | ~ (v4 = 0)))))) % 40.72/6.08 % 40.72/6.08 (a9) % 40.72/6.09 $i(first_movers) & $i(zero) & $i(efficient_producers) & ! [v0: $i] : ! [v1: % 40.72/6.09 $i] : ! [v2: $i] : (v1 = first_movers | v1 = efficient_producers | ~ % 40.72/6.09 (subpopulation(v1, v0, v2) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? % 40.72/6.09 [v3: any] : ? [v4: $i] : ? [v5: any] : (environment(v0) = v3 & % 40.72/6.09 cardinality_at_time(v1, v2) = v4 & greater(v4, zero) = v5 & $i(v4) & ( ~ % 40.72/6.09 (v5 = 0) | ~ (v3 = 0)))) % 40.72/6.09 % 40.72/6.09 (mp_constant_not_decrease) % 40.72/6.09 ! [v0: $i] : ( ~ (constant(v0) = 0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) % 40.72/6.09 & decreases(v0) = v1)) & ! [v0: $i] : ( ~ (decreases(v0) = 0) | ~ $i(v0) % 40.72/6.09 | ? [v1: int] : ( ~ (v1 = 0) & constant(v0) = v1)) % 40.72/6.09 % 40.72/6.09 (mp_efficient_producers_exist) % 40.72/6.09 $i(zero) & $i(efficient_producers) & ! [v0: $i] : ! [v1: $i] : ( ~ % 40.72/6.09 (in_environment(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ? % 40.72/6.09 [v3: $i] : ? [v4: any] : (environment(v0) = v2 & % 40.72/6.09 cardinality_at_time(efficient_producers, v1) = v3 & greater(v3, zero) = v4 % 40.72/6.09 & $i(v3) & ( ~ (v2 = 0) | v4 = 0 | v3 = zero))) % 40.72/6.09 % 40.72/6.09 (mp_empty_not_decreasing) % 40.72/6.09 $i(zero) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (growth_rate(v0, v1) % 40.72/6.09 = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: any] : % 40.72/6.09 (cardinality_at_time(v0, v1) = v3 & greater(zero, v2) = v4 & $i(v3) & ( ~ % 40.72/6.09 (v4 = 0) | ~ (v3 = zero)))) & ! [v0: $i] : ! [v1: $i] : ( ~ % 40.72/6.09 (cardinality_at_time(v0, v1) = zero) | ~ $i(v1) | ~ $i(v0) | ? [v2: $i] : % 40.72/6.09 ? [v3: int] : ( ~ (v3 = 0) & growth_rate(v0, v1) = v2 & greater(zero, v2) = % 40.72/6.09 v3 & $i(v2))) % 40.72/6.09 % 40.72/6.09 (mp_environment_inequality) % 40.72/6.10 $i(an_organisation) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : % 40.72/6.10 (v3 = 0 | ~ (appear(an_organisation, v0) = v2) | ~ (greater_or_equal(v1, v2) % 40.72/6.10 = v3) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : ? [v6: any] % 40.72/6.10 : (environment(v0) = v4 & in_environment(v0, v1) = v5 & greater(v2, v1) = v6 % 40.72/6.10 & ( ~ (v5 = 0) | ~ (v4 = 0) | v6 = 0))) & ! [v0: $i] : ! [v1: $i] : ! % 40.72/6.10 [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (appear(an_organisation, v0) = v2) | ~ % 40.72/6.10 (greater(v2, v1) = v3) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] % 40.72/6.10 : ? [v6: any] : (greater_or_equal(v1, v2) = v6 & environment(v0) = v4 & % 40.72/6.10 in_environment(v0, v1) = v5 & ( ~ (v5 = 0) | ~ (v4 = 0) | v6 = 0))) & ! % 40.72/6.10 [v0: $i] : ! [v1: $i] : ( ~ (in_environment(v0, v1) = 0) | ~ $i(v1) | ~ % 40.72/6.10 $i(v0) | ? [v2: any] : ? [v3: $i] : ? [v4: any] : ? [v5: any] : % 40.72/6.10 (appear(an_organisation, v0) = v3 & greater_or_equal(v1, v3) = v4 & % 40.72/6.10 environment(v0) = v2 & greater(v3, v1) = v5 & $i(v3) & ( ~ (v2 = 0) | v5 = % 40.72/6.10 0 | v4 = 0))) % 40.72/6.10 % 40.72/6.10 (mp_no_members) % 40.72/6.10 $i(zero) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (subpopulation(v2, % 40.72/6.10 v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? % 40.72/6.10 [v4: any] : ? [v5: $i] : ? [v6: $i] : (number_of_organizations(v0, v1) = % 40.72/6.10 v5 & environment(v0) = v3 & cardinality_at_time(v2, v1) = v6 & % 40.72/6.10 in_environment(v0, v1) = v4 & $i(v6) & $i(v5) & ( ~ (v5 = zero) | ~ (v4 = % 40.72/6.10 0) | ~ (v3 = 0) | v6 = zero))) % 40.72/6.10 % 40.72/6.10 (mp_non_decreasing) % 40.72/6.10 $i(zero) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 40.72/6.10 (number_of_organizations(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: % 40.72/6.10 any] : ? [v4: any] : ? [v5: any] : ? [v6: $i] : ? [v7: int] : ? [v8: % 40.72/6.10 $i] : ? [v9: int] : ? [v10: $i] : ? [v11: int] : ($i(v6) & ((v9 = 0 & % 40.72/6.10 v7 = 0 & ~ (v11 = 0) & subpopulation(v6, v0, v1) = 0 & % 40.72/6.10 cardinality_at_time(v6, v1) = v8 & growth_rate(v6, v1) = v10 & % 40.72/6.10 greater(v8, zero) = 0 & greater(zero, v10) = v11 & $i(v10) & $i(v8)) | % 40.72/6.10 (decreases(v2) = v5 & environment(v0) = v3 & in_environment(v0, v1) = v4 % 40.72/6.10 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))))) & ! [v0: $i] : ! [v1: $i] % 40.72/6.10 : ( ~ (in_environment(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ? % 40.72/6.10 [v3: $i] : ? [v4: any] : ? [v5: $i] : ? [v6: int] : ? [v7: $i] : ? [v8: % 40.72/6.10 int] : ? [v9: $i] : ? [v10: int] : ($i(v5) & ((v8 = 0 & v6 = 0 & ~ (v10 % 40.72/6.10 = 0) & subpopulation(v5, v0, v1) = 0 & cardinality_at_time(v5, v1) = % 40.72/6.10 v7 & growth_rate(v5, v1) = v9 & greater(v7, zero) = 0 & greater(zero, % 40.72/6.10 v9) = v10 & $i(v9) & $i(v7)) | (decreases(v3) = v4 & % 40.72/6.10 number_of_organizations(v0, v1) = v3 & environment(v0) = v2 & $i(v3) & % 40.72/6.10 ( ~ (v2 = 0) | v4 = 0))))) % 40.72/6.10 % 40.72/6.10 (mp_previous_negative_growth) % 40.72/6.11 $i(zero) & $i(efficient_producers) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 40.72/6.11 ( ~ (appear(efficient_producers, v0) = v2) | ~ (greater_or_equal(v1, v2) = 0) % 40.72/6.11 | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: $i] : ? [v5: $i] : ? [v6: % 40.72/6.11 int] : ? [v7: int] : ? [v8: int] : ? [v9: $i] : ? [v10: int] : ($i(v5) % 40.72/6.11 & ((v10 = 0 & v8 = 0 & v7 = 0 & v6 = 0 & in_environment(v0, v5) = 0 & % 40.72/6.11 growth_rate(efficient_producers, v5) = v9 & greater(v5, v2) = 0 & % 40.72/6.11 greater(v1, v5) = 0 & greater(zero, v9) = 0 & $i(v9)) | % 40.72/6.11 (environment(v0) = v3 & cardinality_at_time(efficient_producers, v1) = % 40.72/6.11 v4 & $i(v4) & ( ~ (v4 = zero) | ~ (v3 = 0)))))) % 40.72/6.11 % 40.72/6.11 (mp_start_of_organizations) % 40.72/6.11 $i(an_organisation) & $i(zero) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 % 40.72/6.11 = zero | ~ (number_of_organizations(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | % 40.72/6.11 ? [v3: any] : ? [v4: any] : ? [v5: $i] : ? [v6: any] : % 40.72/6.11 (appear(an_organisation, v0) = v5 & environment(v0) = v3 & % 40.72/6.11 in_environment(v0, v1) = v4 & greater(v5, v1) = v6 & $i(v5) & ( ~ (v6 = 0) % 40.72/6.11 | ~ (v4 = 0) | ~ (v3 = 0)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] % 40.72/6.11 : ( ~ (appear(an_organisation, v0) = v2) | ~ (greater(v2, v1) = 0) | ~ % 40.72/6.11 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: $i] : % 40.72/6.11 (number_of_organizations(v0, v1) = v5 & environment(v0) = v3 & % 40.72/6.11 in_environment(v0, v1) = v4 & $i(v5) & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = % 40.72/6.11 zero))) & ! [v0: $i] : ! [v1: $i] : ( ~ (in_environment(v0, v1) = 0) | % 40.72/6.11 ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: $i] : ? [v4: any] : ? [v5: % 40.72/6.11 $i] : (number_of_organizations(v0, v1) = v5 & appear(an_organisation, v0) % 40.72/6.11 = v3 & environment(v0) = v2 & greater(v3, v1) = v4 & $i(v5) & $i(v3) & ( ~ % 40.72/6.11 (v4 = 0) | ~ (v2 = 0) | v5 = zero))) % 40.72/6.11 % 40.72/6.11 (mp_subpopulations) % 40.72/6.11 $i(first_movers) & $i(efficient_producers) & ! [v0: $i] : ! [v1: $i] : ! % 40.72/6.11 [v2: any] : ( ~ (subpopulation(first_movers, v0, v1) = v2) | ~ $i(v1) | ~ % 40.72/6.11 $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] : % 40.72/6.11 (subpopulation(efficient_producers, v0, v1) = v5 & environment(v0) = v3 & % 40.72/6.11 in_environment(v0, v1) = v4 & ( ~ (v4 = 0) | ~ (v3 = 0) | (v5 = 0 & v2 = % 40.72/6.11 0)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ( ~ % 40.72/6.11 (subpopulation(efficient_producers, v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | % 40.72/6.11 ? [v3: any] : ? [v4: any] : ? [v5: any] : (subpopulation(first_movers, v0, % 40.72/6.12 v1) = v5 & environment(v0) = v3 & in_environment(v0, v1) = v4 & ( ~ (v4 % 40.72/6.12 = 0) | ~ (v3 = 0) | (v5 = 0 & v2 = 0)))) & ! [v0: $i] : ! [v1: $i] % 40.72/6.12 : ( ~ (in_environment(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ? % 40.72/6.12 [v3: any] : ? [v4: any] : (subpopulation(first_movers, v0, v1) = v3 & % 40.72/6.12 subpopulation(efficient_producers, v0, v1) = v4 & environment(v0) = v2 & ( % 40.72/6.12 ~ (v2 = 0) | (v4 = 0 & v3 = 0)))) % 40.72/6.12 % 40.72/6.12 (prove_t6) % 40.72/6.12 $i(zero) & $i(efficient_producers) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 40.72/6.12 ? [v3: $i] : ? [v4: int] : ( ~ (v4 = 0) & appear(efficient_producers, v0) = % 40.72/6.12 v2 & greater_or_equal(v1, v2) = 0 & environment(v0) = 0 & % 40.72/6.12 cardinality_at_time(efficient_producers, v1) = v3 & in_environment(v0, v1) = % 40.72/6.12 0 & greater(v3, zero) = v4 & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 40.72/6.12 % 40.72/6.12 (function-axioms) % 40.72/6.12 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 40.72/6.12 [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (subpopulation(v4, v3, v2) = v1) | ~ % 40.72/6.12 (subpopulation(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] % 40.72/6.12 : ! [v3: $i] : (v1 = v0 | ~ (resources(v3, v2) = v1) | ~ (resources(v3, v2) % 40.72/6.12 = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 % 40.72/6.12 | ~ (number_of_organizations(v3, v2) = v1) | ~ % 40.72/6.12 (number_of_organizations(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! % 40.72/6.12 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (appear(v3, v2) = v1) | ~ (appear(v3, % 40.72/6.12 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 40.72/6.12 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (greater_or_equal(v3, v2) = v1) | ~ % 40.72/6.12 (greater_or_equal(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 40.72/6.12 ! [v3: $i] : (v1 = v0 | ~ (cardinality_at_time(v3, v2) = v1) | ~ % 40.72/6.12 (cardinality_at_time(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 40.72/6.12 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 40.72/6.12 (in_environment(v3, v2) = v1) | ~ (in_environment(v3, v2) = v0)) & ! [v0: % 40.72/6.12 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 40.72/6.12 (growth_rate(v3, v2) = v1) | ~ (growth_rate(v3, v2) = v0)) & ! [v0: % 40.72/6.12 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 40.72/6.12 : (v1 = v0 | ~ (greater(v3, v2) = v1) | ~ (greater(v3, v2) = v0)) & ! [v0: % 40.72/6.12 $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (resilience(v2) = v1) | ~ % 40.72/6.12 (resilience(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 % 40.72/6.12 | ~ (equilibrium(v2) = v1) | ~ (equilibrium(v2) = v0)) & ! [v0: % 40.72/6.12 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 40.72/6.12 ~ (constant(v2) = v1) | ~ (constant(v2) = v0)) & ! [v0: MultipleValueBool] % 40.72/6.12 : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (decreases(v2) = % 40.72/6.12 v1) | ~ (decreases(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 40.72/6.12 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (environment(v2) = v1) | ~ % 40.72/6.12 (environment(v2) = v0)) % 40.72/6.12 % 40.72/6.12 Those formulas are unsatisfiable: % 40.72/6.12 --------------------------------- % 40.72/6.12 % 40.72/6.12 Begin of proof % 40.72/6.13 | % 40.72/6.13 | ALPHA: (mp_previous_negative_growth) implies: % 40.72/6.13 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 40.72/6.13 | (appear(efficient_producers, v0) = v2) | ~ (greater_or_equal(v1, v2) % 40.72/6.13 | = 0) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: $i] : ? [v5: % 40.72/6.13 | $i] : ? [v6: int] : ? [v7: int] : ? [v8: int] : ? [v9: $i] : ? % 40.72/6.13 | [v10: int] : ($i(v5) & ((v10 = 0 & v8 = 0 & v7 = 0 & v6 = 0 & % 40.72/6.13 | in_environment(v0, v5) = 0 & growth_rate(efficient_producers, % 40.72/6.13 | v5) = v9 & greater(v5, v2) = 0 & greater(v1, v5) = 0 & % 40.72/6.13 | greater(zero, v9) = 0 & $i(v9)) | (environment(v0) = v3 & % 40.72/6.13 | cardinality_at_time(efficient_producers, v1) = v4 & $i(v4) & ( % 40.72/6.13 | ~ (v4 = zero) | ~ (v3 = 0)))))) % 40.72/6.13 | % 40.72/6.13 | ALPHA: (mp_start_of_organizations) implies: % 41.22/6.13 | (2) ! [v0: $i] : ! [v1: $i] : ( ~ (in_environment(v0, v1) = 0) | ~ % 41.22/6.13 | $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: $i] : ? [v4: any] : ? % 41.22/6.13 | [v5: $i] : (number_of_organizations(v0, v1) = v5 & % 41.22/6.13 | appear(an_organisation, v0) = v3 & environment(v0) = v2 & % 41.22/6.13 | greater(v3, v1) = v4 & $i(v5) & $i(v3) & ( ~ (v4 = 0) | ~ (v2 = 0) % 41.22/6.13 | | v5 = zero))) % 41.22/6.13 | % 41.22/6.13 | ALPHA: (mp_non_decreasing) implies: % 41.22/6.13 | (3) ! [v0: $i] : ! [v1: $i] : ( ~ (in_environment(v0, v1) = 0) | ~ % 41.22/6.13 | $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: $i] : ? [v4: any] : ? % 41.22/6.13 | [v5: $i] : ? [v6: int] : ? [v7: $i] : ? [v8: int] : ? [v9: $i] : % 41.22/6.13 | ? [v10: int] : ($i(v5) & ((v8 = 0 & v6 = 0 & ~ (v10 = 0) & % 41.22/6.13 | subpopulation(v5, v0, v1) = 0 & cardinality_at_time(v5, v1) = % 41.22/6.13 | v7 & growth_rate(v5, v1) = v9 & greater(v7, zero) = 0 & % 41.22/6.13 | greater(zero, v9) = v10 & $i(v9) & $i(v7)) | (decreases(v3) = % 41.22/6.13 | v4 & number_of_organizations(v0, v1) = v3 & environment(v0) = % 41.22/6.13 | v2 & $i(v3) & ( ~ (v2 = 0) | v4 = 0))))) % 41.22/6.13 | % 41.22/6.13 | ALPHA: (mp_no_members) implies: % 41.22/6.14 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (subpopulation(v2, v0, % 41.22/6.14 | v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? % 41.22/6.14 | [v4: any] : ? [v5: $i] : ? [v6: $i] : (number_of_organizations(v0, % 41.22/6.14 | v1) = v5 & environment(v0) = v3 & cardinality_at_time(v2, v1) = % 41.22/6.14 | v6 & in_environment(v0, v1) = v4 & $i(v6) & $i(v5) & ( ~ (v5 = % 41.22/6.14 | zero) | ~ (v4 = 0) | ~ (v3 = 0) | v6 = zero))) % 41.22/6.14 | % 41.22/6.14 | ALPHA: (mp_subpopulations) implies: % 41.22/6.14 | (5) ! [v0: $i] : ! [v1: $i] : ( ~ (in_environment(v0, v1) = 0) | ~ % 41.22/6.14 | $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: any] : % 41.22/6.14 | (subpopulation(first_movers, v0, v1) = v3 & % 41.22/6.14 | subpopulation(efficient_producers, v0, v1) = v4 & environment(v0) = % 41.22/6.14 | v2 & ( ~ (v2 = 0) | (v4 = 0 & v3 = 0)))) % 41.22/6.14 | % 41.22/6.14 | ALPHA: (mp_empty_not_decreasing) implies: % 41.22/6.14 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (growth_rate(v0, v1) = % 41.22/6.14 | v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: any] : % 41.22/6.14 | (cardinality_at_time(v0, v1) = v3 & greater(zero, v2) = v4 & $i(v3) & % 41.22/6.14 | ( ~ (v4 = 0) | ~ (v3 = zero)))) % 41.22/6.14 | % 41.22/6.14 | ALPHA: (mp_efficient_producers_exist) implies: % 41.22/6.14 | (7) ! [v0: $i] : ! [v1: $i] : ( ~ (in_environment(v0, v1) = 0) | ~ % 41.22/6.14 | $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: $i] : ? [v4: any] : % 41.22/6.14 | (environment(v0) = v2 & cardinality_at_time(efficient_producers, v1) % 41.22/6.14 | = v3 & greater(v3, zero) = v4 & $i(v3) & ( ~ (v2 = 0) | v4 = 0 | v3 % 41.22/6.14 | = zero))) % 41.22/6.14 | % 41.22/6.14 | ALPHA: (mp_constant_not_decrease) implies: % 41.22/6.14 | (8) ! [v0: $i] : ( ~ (constant(v0) = 0) | ~ $i(v0) | ? [v1: int] : ( ~ % 41.22/6.14 | (v1 = 0) & decreases(v0) = v1)) % 41.22/6.14 | % 41.22/6.14 | ALPHA: (mp_environment_inequality) implies: % 41.22/6.14 | (9) ! [v0: $i] : ! [v1: $i] : ( ~ (in_environment(v0, v1) = 0) | ~ % 41.22/6.14 | $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: $i] : ? [v4: any] : ? % 41.22/6.14 | [v5: any] : (appear(an_organisation, v0) = v3 & greater_or_equal(v1, % 41.22/6.14 | v3) = v4 & environment(v0) = v2 & greater(v3, v1) = v5 & $i(v3) & % 41.22/6.14 | ( ~ (v2 = 0) | v5 = 0 | v4 = 0))) % 41.22/6.14 | (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 41.22/6.14 | (appear(an_organisation, v0) = v2) | ~ (greater_or_equal(v1, v2) = % 41.22/6.14 | v3) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : ? % 41.22/6.14 | [v6: any] : (environment(v0) = v4 & in_environment(v0, v1) = v5 & % 41.22/6.14 | greater(v2, v1) = v6 & ( ~ (v5 = 0) | ~ (v4 = 0) | v6 = 0))) % 41.22/6.14 | % 41.22/6.14 | ALPHA: (a3) implies: % 41.22/6.15 | (11) ! [v0: $i] : ! [v1: $i] : ( ~ (in_environment(v0, v1) = 0) | ~ % 41.22/6.15 | $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: $i] : ? [v4: any] : ? % 41.22/6.15 | [v5: $i] : ? [v6: any] : ? [v7: $i] : ? [v8: any] : ? [v9: any] % 41.22/6.15 | : (resources(v0, v1) = v7 & equilibrium(v0) = v5 & constant(v7) = v9 % 41.22/6.15 | & decreases(v7) = v8 & number_of_organizations(v0, v1) = v3 & % 41.22/6.15 | environment(v0) = v2 & greater(v5, v1) = v6 & greater(v3, zero) = % 41.22/6.15 | v4 & $i(v7) & $i(v5) & $i(v3) & ( ~ (v4 = 0) | ~ (v2 = 0) | (( ~ % 41.22/6.15 | (v6 = 0) | v8 = 0) & (v9 = 0 | v6 = 0))))) % 41.22/6.15 | (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 41.22/6.15 | (number_of_organizations(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? % 41.22/6.15 | [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: $i] : ? [v7: any] % 41.22/6.15 | : ? [v8: $i] : ? [v9: any] : ? [v10: any] : (resources(v0, v1) = % 41.22/6.15 | v8 & equilibrium(v0) = v6 & constant(v8) = v10 & decreases(v8) = % 41.22/6.15 | v9 & environment(v0) = v3 & in_environment(v0, v1) = v4 & % 41.22/6.15 | greater(v6, v1) = v7 & greater(v2, zero) = v5 & $i(v8) & $i(v6) & % 41.22/6.15 | ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | (( ~ (v7 = 0) | v9 = 0) % 41.22/6.15 | & (v10 = 0 | v7 = 0))))) % 41.22/6.15 | (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (resources(v0, v1) = v2) % 41.22/6.15 | | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: $i] % 41.22/6.15 | : ? [v6: any] : ? [v7: $i] : ? [v8: any] : ? [v9: any] : ? % 41.22/6.15 | [v10: any] : (equilibrium(v0) = v7 & constant(v2) = v10 & % 41.22/6.15 | decreases(v2) = v9 & number_of_organizations(v0, v1) = v5 & % 41.22/6.15 | environment(v0) = v3 & in_environment(v0, v1) = v4 & greater(v7, % 41.22/6.15 | v1) = v8 & greater(v5, zero) = v6 & $i(v7) & $i(v5) & ( ~ (v6 = % 41.22/6.15 | 0) | ~ (v4 = 0) | ~ (v3 = 0) | (( ~ (v8 = 0) | v9 = 0) & % 41.22/6.15 | (v10 = 0 | v8 = 0))))) % 41.22/6.16 | (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~ % 41.22/6.16 | (equilibrium(v0) = v2) | ~ (greater(v2, v1) = v3) | ~ $i(v1) | ~ % 41.22/6.16 | $i(v0) | ? [v4: any] : ? [v5: any] : ? [v6: $i] : ? [v7: any] : % 41.22/6.16 | ? [v8: $i] : ? [v9: any] : ? [v10: any] : (resources(v0, v1) = v8 % 41.22/6.16 | & constant(v8) = v10 & decreases(v8) = v9 & % 41.22/6.16 | number_of_organizations(v0, v1) = v6 & environment(v0) = v4 & % 41.22/6.16 | in_environment(v0, v1) = v5 & greater(v6, zero) = v7 & $i(v8) & % 41.22/6.16 | $i(v6) & ( ~ (v7 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | (( ~ (v3 = 0) % 41.22/6.16 | | v9 = 0) & (v10 = 0 | v3 = 0))))) % 41.22/6.16 | % 41.22/6.16 | ALPHA: (a1) implies: % 41.22/6.16 | (15) ! [v0: $i] : ! [v1: $i] : ( ~ (in_environment(v0, v1) = 0) | ~ % 41.22/6.16 | $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: $i] : ? [v4: any] : ? % 41.22/6.16 | [v5: $i] : ? [v6: any] : (number_of_organizations(v0, v1) = v5 & % 41.22/6.16 | appear(an_organisation, v0) = v3 & greater_or_equal(v1, v3) = v4 & % 41.22/6.16 | environment(v0) = v2 & greater(v5, zero) = v6 & $i(v5) & $i(v3) & % 41.22/6.16 | ( ~ (v4 = 0) | ~ (v2 = 0) | v6 = 0))) % 41.22/6.16 | (16) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 41.22/6.16 | (number_of_organizations(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? % 41.22/6.16 | [v3: any] : ? [v4: any] : ? [v5: $i] : ? [v6: any] : ? [v7: any] % 41.22/6.16 | : (appear(an_organisation, v0) = v5 & greater_or_equal(v1, v5) = v6 % 41.22/6.16 | & environment(v0) = v3 & in_environment(v0, v1) = v4 & greater(v2, % 41.22/6.16 | zero) = v7 & $i(v5) & ( ~ (v6 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | % 41.22/6.16 | v7 = 0))) % 41.22/6.16 | % 41.22/6.16 | ALPHA: (a6) implies: % 41.22/6.16 | (17) ! [v0: $i] : ! [v1: $i] : ( ~ (in_environment(v0, v1) = 0) | ~ % 41.22/6.16 | $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: $i] : ? [v4: any] : ? % 41.22/6.16 | [v5: $i] : ? [v6: any] : ? [v7: any] : ? [v8: any] : % 41.22/6.16 | (resources(v0, v1) = v3 & constant(v5) = v8 & constant(v3) = v7 & % 41.22/6.16 | decreases(v5) = v6 & decreases(v3) = v4 & % 41.22/6.16 | number_of_organizations(v0, v1) = v5 & environment(v0) = v2 & % 41.22/6.16 | $i(v5) & $i(v3) & ( ~ (v2 = 0) | (( ~ (v7 = 0) | v8 = 0) & ( ~ (v6 % 41.22/6.16 | = 0) | ~ (v4 = 0)))))) % 41.22/6.16 | (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 41.22/6.16 | (number_of_organizations(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? % 41.22/6.16 | [v3: any] : ? [v4: any] : ? [v5: $i] : ? [v6: any] : ? [v7: any] % 41.22/6.16 | : ? [v8: any] : ? [v9: any] : (resources(v0, v1) = v5 & % 41.22/6.16 | constant(v5) = v8 & constant(v2) = v9 & decreases(v5) = v6 & % 41.22/6.16 | decreases(v2) = v7 & environment(v0) = v3 & in_environment(v0, v1) % 41.22/6.16 | = v4 & $i(v5) & ( ~ (v4 = 0) | ~ (v3 = 0) | (( ~ (v8 = 0) | v9 = % 41.22/6.16 | 0) & ( ~ (v7 = 0) | ~ (v6 = 0)))))) % 41.22/6.17 | (19) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (resources(v0, v1) = v2) % 41.22/6.17 | | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] % 41.22/6.17 | : ? [v6: $i] : ? [v7: any] : ? [v8: any] : ? [v9: any] : % 41.22/6.17 | (constant(v6) = v9 & constant(v2) = v8 & decreases(v6) = v7 & % 41.22/6.17 | decreases(v2) = v5 & number_of_organizations(v0, v1) = v6 & % 41.22/6.17 | environment(v0) = v3 & in_environment(v0, v1) = v4 & $i(v6) & ( ~ % 41.22/6.17 | (v4 = 0) | ~ (v3 = 0) | (( ~ (v8 = 0) | v9 = 0) & ( ~ (v7 = 0) % 41.22/6.17 | | ~ (v5 = 0)))))) % 41.22/6.17 | % 41.22/6.17 | ALPHA: (a12) implies: % 41.22/6.17 | (20) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 41.22/6.17 | ! [v5: $i] : ( ~ (resilience(v2) = v4) | ~ (resilience(v1) = v5) | ~ % 41.22/6.17 | (in_environment(v0, v3) = 0) | ~ (greater(v4, v5) = 0) | ~ $i(v3) % 41.22/6.17 | | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: $i] : % 41.22/6.17 | ? [v8: any] : ? [v9: $i] : ? [v10: any] : (environment(v0) = v6 & % 41.22/6.17 | growth_rate(v2, v3) = v9 & growth_rate(v1, v3) = v7 & % 41.22/6.17 | greater(zero, v9) = v10 & greater(zero, v7) = v8 & $i(v9) & $i(v7) % 41.22/6.17 | & ( ~ (v10 = 0) | ~ (v6 = 0) | v8 = 0))) % 41.22/6.17 | (21) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 41.22/6.17 | ! [v5: $i] : ! [v6: $i] : ( ~ (resilience(v2) = v4) | ~ % 41.22/6.17 | (resilience(v1) = v5) | ~ (environment(v0) = 0) | ~ % 41.22/6.17 | (growth_rate(v2, v3) = v6) | ~ (greater(v4, v5) = 0) | ~ % 41.22/6.17 | (greater(zero, v6) = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 41.22/6.17 | $i(v0) | ? [v7: any] : ? [v8: $i] : ? [v9: any] : % 41.22/6.17 | (in_environment(v0, v3) = v7 & growth_rate(v1, v3) = v8 & % 41.22/6.17 | greater(zero, v8) = v9 & $i(v8) & ( ~ (v7 = 0) | v9 = 0))) % 41.22/6.17 | % 41.22/6.17 | ALPHA: (a2) implies: % 41.22/6.17 | (22) ? [v0: $i] : ? [v1: $i] : (resilience(first_movers) = v1 & % 41.22/6.17 | resilience(efficient_producers) = v0 & greater(v0, v1) = 0 & $i(v1) % 41.22/6.17 | & $i(v0)) % 41.22/6.17 | % 41.22/6.17 | ALPHA: (a9) implies: % 41.22/6.17 | (23) $i(first_movers) % 41.22/6.17 | (24) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = first_movers | v1 = % 41.22/6.17 | efficient_producers | ~ (subpopulation(v1, v0, v2) = 0) | ~ $i(v2) % 41.22/6.17 | | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: $i] : ? [v5: any] % 41.22/6.17 | : (environment(v0) = v3 & cardinality_at_time(v1, v2) = v4 & % 41.22/6.17 | greater(v4, zero) = v5 & $i(v4) & ( ~ (v5 = 0) | ~ (v3 = 0)))) % 41.22/6.17 | % 41.22/6.17 | ALPHA: (prove_t6) implies: % 41.22/6.18 | (25) $i(efficient_producers) % 41.22/6.18 | (26) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: int] : % 41.22/6.18 | ( ~ (v4 = 0) & appear(efficient_producers, v0) = v2 & % 41.22/6.18 | greater_or_equal(v1, v2) = 0 & environment(v0) = 0 & % 41.22/6.18 | cardinality_at_time(efficient_producers, v1) = v3 & % 41.22/6.18 | in_environment(v0, v1) = 0 & greater(v3, zero) = v4 & $i(v3) & % 41.22/6.18 | $i(v2) & $i(v1) & $i(v0)) % 41.22/6.18 | % 41.22/6.18 | ALPHA: (function-axioms) implies: % 41.22/6.18 | (27) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 41.22/6.18 | : (v1 = v0 | ~ (environment(v2) = v1) | ~ (environment(v2) = v0)) % 41.22/6.18 | (28) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 41.22/6.18 | : (v1 = v0 | ~ (decreases(v2) = v1) | ~ (decreases(v2) = v0)) % 41.22/6.18 | (29) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 41.22/6.18 | : (v1 = v0 | ~ (constant(v2) = v1) | ~ (constant(v2) = v0)) % 41.22/6.18 | (30) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 41.22/6.18 | (equilibrium(v2) = v1) | ~ (equilibrium(v2) = v0)) % 41.22/6.18 | (31) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 41.22/6.18 | : ! [v3: $i] : (v1 = v0 | ~ (greater(v3, v2) = v1) | ~ (greater(v3, % 41.22/6.18 | v2) = v0)) % 41.22/6.18 | (32) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 41.22/6.18 | (growth_rate(v3, v2) = v1) | ~ (growth_rate(v3, v2) = v0)) % 41.22/6.18 | (33) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 41.22/6.18 | : ! [v3: $i] : (v1 = v0 | ~ (in_environment(v3, v2) = v1) | ~ % 41.22/6.18 | (in_environment(v3, v2) = v0)) % 41.22/6.18 | (34) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 41.22/6.18 | (cardinality_at_time(v3, v2) = v1) | ~ (cardinality_at_time(v3, v2) % 41.22/6.18 | = v0)) % 41.22/6.18 | (35) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 41.22/6.18 | : ! [v3: $i] : (v1 = v0 | ~ (greater_or_equal(v3, v2) = v1) | ~ % 41.22/6.18 | (greater_or_equal(v3, v2) = v0)) % 41.22/6.18 | (36) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 41.22/6.18 | (appear(v3, v2) = v1) | ~ (appear(v3, v2) = v0)) % 41.22/6.18 | (37) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 41.22/6.18 | (number_of_organizations(v3, v2) = v1) | ~ % 41.22/6.18 | (number_of_organizations(v3, v2) = v0)) % 41.22/6.19 | (38) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 41.22/6.19 | (resources(v3, v2) = v1) | ~ (resources(v3, v2) = v0)) % 41.22/6.19 | % 41.22/6.19 | DELTA: instantiating (22) with fresh symbols all_18_0, all_18_1 gives: % 41.22/6.19 | (39) resilience(first_movers) = all_18_0 & resilience(efficient_producers) % 41.22/6.19 | = all_18_1 & greater(all_18_1, all_18_0) = 0 & $i(all_18_0) & % 41.22/6.19 | $i(all_18_1) % 41.22/6.19 | % 41.22/6.19 | ALPHA: (39) implies: % 41.22/6.19 | (40) greater(all_18_1, all_18_0) = 0 % 41.22/6.19 | (41) resilience(efficient_producers) = all_18_1 % 41.22/6.19 | (42) resilience(first_movers) = all_18_0 % 41.22/6.19 | % 41.22/6.19 | DELTA: instantiating (26) with fresh symbols all_20_0, all_20_1, all_20_2, % 41.22/6.19 | all_20_3, all_20_4 gives: % 41.22/6.19 | (43) ~ (all_20_0 = 0) & appear(efficient_producers, all_20_4) = all_20_2 & % 41.22/6.19 | greater_or_equal(all_20_3, all_20_2) = 0 & environment(all_20_4) = 0 & % 41.22/6.19 | cardinality_at_time(efficient_producers, all_20_3) = all_20_1 & % 41.22/6.19 | in_environment(all_20_4, all_20_3) = 0 & greater(all_20_1, zero) = % 41.22/6.19 | all_20_0 & $i(all_20_1) & $i(all_20_2) & $i(all_20_3) & $i(all_20_4) % 41.22/6.19 | % 41.22/6.19 | ALPHA: (43) implies: % 41.22/6.19 | (44) ~ (all_20_0 = 0) % 41.22/6.19 | (45) $i(all_20_4) % 41.22/6.19 | (46) $i(all_20_3) % 41.22/6.19 | (47) greater(all_20_1, zero) = all_20_0 % 41.22/6.19 | (48) in_environment(all_20_4, all_20_3) = 0 % 41.22/6.19 | (49) cardinality_at_time(efficient_producers, all_20_3) = all_20_1 % 41.22/6.19 | (50) environment(all_20_4) = 0 % 41.22/6.19 | (51) greater_or_equal(all_20_3, all_20_2) = 0 % 41.22/6.19 | (52) appear(efficient_producers, all_20_4) = all_20_2 % 41.22/6.19 | % 41.22/6.19 | GROUND_INST: instantiating (11) with all_20_4, all_20_3, simplifying with % 41.22/6.19 | (45), (46), (48) gives: % 41.22/6.19 | (53) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4: any] % 41.22/6.19 | : ? [v5: $i] : ? [v6: any] : ? [v7: any] : (resources(all_20_4, % 41.22/6.19 | all_20_3) = v5 & equilibrium(all_20_4) = v3 & constant(v5) = v7 & % 41.22/6.19 | decreases(v5) = v6 & number_of_organizations(all_20_4, all_20_3) = % 41.22/6.19 | v1 & environment(all_20_4) = v0 & greater(v3, all_20_3) = v4 & % 41.22/6.19 | greater(v1, zero) = v2 & $i(v5) & $i(v3) & $i(v1) & ( ~ (v2 = 0) | % 41.22/6.19 | ~ (v0 = 0) | (( ~ (v4 = 0) | v6 = 0) & (v7 = 0 | v4 = 0)))) % 41.22/6.19 | % 41.22/6.19 | GROUND_INST: instantiating (17) with all_20_4, all_20_3, simplifying with % 41.22/6.19 | (45), (46), (48) gives: % 41.22/6.20 | (54) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4: any] % 41.22/6.20 | : ? [v5: any] : ? [v6: any] : (resources(all_20_4, all_20_3) = v1 & % 41.22/6.20 | constant(v3) = v6 & constant(v1) = v5 & decreases(v3) = v4 & % 41.22/6.20 | decreases(v1) = v2 & number_of_organizations(all_20_4, all_20_3) = % 41.22/6.20 | v3 & environment(all_20_4) = v0 & $i(v3) & $i(v1) & ( ~ (v0 = 0) | % 41.22/6.20 | (( ~ (v5 = 0) | v6 = 0) & ( ~ (v4 = 0) | ~ (v2 = 0))))) % 41.22/6.20 | % 41.22/6.20 | GROUND_INST: instantiating (15) with all_20_4, all_20_3, simplifying with % 41.22/6.20 | (45), (46), (48) gives: % 41.55/6.20 | (55) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4: any] % 41.55/6.20 | : (number_of_organizations(all_20_4, all_20_3) = v3 & % 41.55/6.20 | appear(an_organisation, all_20_4) = v1 & greater_or_equal(all_20_3, % 41.55/6.20 | v1) = v2 & environment(all_20_4) = v0 & greater(v3, zero) = v4 & % 41.55/6.20 | $i(v3) & $i(v1) & ( ~ (v2 = 0) | ~ (v0 = 0) | v4 = 0)) % 41.55/6.20 | % 41.55/6.20 | GROUND_INST: instantiating (2) with all_20_4, all_20_3, simplifying with (45), % 41.55/6.20 | (46), (48) gives: % 41.55/6.20 | (56) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : % 41.55/6.20 | (number_of_organizations(all_20_4, all_20_3) = v3 & % 41.55/6.20 | appear(an_organisation, all_20_4) = v1 & environment(all_20_4) = v0 % 41.55/6.20 | & greater(v1, all_20_3) = v2 & $i(v3) & $i(v1) & ( ~ (v2 = 0) | ~ % 41.55/6.20 | (v0 = 0) | v3 = zero)) % 41.55/6.20 | % 41.55/6.20 | GROUND_INST: instantiating (9) with all_20_4, all_20_3, simplifying with (45), % 41.55/6.20 | (46), (48) gives: % 41.55/6.20 | (57) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: any] : % 41.55/6.20 | (appear(an_organisation, all_20_4) = v1 & greater_or_equal(all_20_3, % 41.55/6.20 | v1) = v2 & environment(all_20_4) = v0 & greater(v1, all_20_3) = v3 % 41.55/6.20 | & $i(v1) & ( ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 41.55/6.20 | % 41.55/6.20 | GROUND_INST: instantiating (5) with all_20_4, all_20_3, simplifying with (45), % 41.55/6.20 | (46), (48) gives: % 41.55/6.20 | (58) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 41.55/6.20 | (subpopulation(first_movers, all_20_4, all_20_3) = v1 & % 41.55/6.20 | subpopulation(efficient_producers, all_20_4, all_20_3) = v2 & % 41.55/6.20 | environment(all_20_4) = v0 & ( ~ (v0 = 0) | (v2 = 0 & v1 = 0))) % 41.55/6.20 | % 41.55/6.20 | GROUND_INST: instantiating (7) with all_20_4, all_20_3, simplifying with (45), % 41.55/6.20 | (46), (48) gives: % 41.55/6.20 | (59) ? [v0: any] : ? [v1: $i] : ? [v2: any] : (environment(all_20_4) = % 41.55/6.20 | v0 & cardinality_at_time(efficient_producers, all_20_3) = v1 & % 41.55/6.20 | greater(v1, zero) = v2 & $i(v1) & ( ~ (v0 = 0) | v2 = 0 | v1 = % 41.55/6.20 | zero)) % 41.55/6.20 | % 41.55/6.20 | GROUND_INST: instantiating (1) with all_20_4, all_20_3, all_20_2, simplifying % 41.55/6.20 | with (45), (46), (51), (52) gives: % 41.55/6.21 | (60) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: int] : ? [v4: int] % 41.55/6.21 | : ? [v5: int] : ? [v6: $i] : ? [v7: int] : ($i(v2) & ((v7 = 0 & v5 % 41.55/6.21 | = 0 & v4 = 0 & v3 = 0 & in_environment(all_20_4, v2) = 0 & % 41.55/6.21 | growth_rate(efficient_producers, v2) = v6 & greater(v2, % 41.55/6.21 | all_20_2) = 0 & greater(all_20_3, v2) = 0 & greater(zero, v6) % 41.55/6.21 | = 0 & $i(v6)) | (environment(all_20_4) = v0 & % 41.55/6.21 | cardinality_at_time(efficient_producers, all_20_3) = v1 & $i(v1) % 41.55/6.21 | & ( ~ (v1 = zero) | ~ (v0 = 0))))) % 41.55/6.21 | % 41.55/6.21 | GROUND_INST: instantiating (20) with all_20_4, first_movers, % 41.55/6.21 | efficient_producers, all_20_3, all_18_1, all_18_0, simplifying % 41.55/6.21 | with (23), (25), (40), (41), (42), (45), (46), (48) gives: % 41.55/6.21 | (61) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4: any] % 41.55/6.21 | : (environment(all_20_4) = v0 & growth_rate(first_movers, all_20_3) = % 41.55/6.21 | v1 & growth_rate(efficient_producers, all_20_3) = v3 & greater(zero, % 41.55/6.21 | v3) = v4 & greater(zero, v1) = v2 & $i(v3) & $i(v1) & ( ~ (v4 = 0) % 41.55/6.21 | | ~ (v0 = 0) | v2 = 0)) % 41.55/6.21 | % 41.55/6.21 | DELTA: instantiating (58) with fresh symbols all_27_0, all_27_1, all_27_2 % 41.55/6.21 | gives: % 41.55/6.21 | (62) subpopulation(first_movers, all_20_4, all_20_3) = all_27_1 & % 41.55/6.21 | subpopulation(efficient_producers, all_20_4, all_20_3) = all_27_0 & % 41.55/6.21 | environment(all_20_4) = all_27_2 & ( ~ (all_27_2 = 0) | (all_27_0 = 0 % 41.55/6.21 | & all_27_1 = 0)) % 41.55/6.21 | % 41.55/6.21 | ALPHA: (62) implies: % 41.55/6.21 | (63) environment(all_20_4) = all_27_2 % 41.55/6.21 | (64) subpopulation(first_movers, all_20_4, all_20_3) = all_27_1 % 41.55/6.21 | (65) ~ (all_27_2 = 0) | (all_27_0 = 0 & all_27_1 = 0) % 41.55/6.21 | % 41.55/6.21 | DELTA: instantiating (59) with fresh symbols all_29_0, all_29_1, all_29_2 % 41.55/6.21 | gives: % 41.55/6.21 | (66) environment(all_20_4) = all_29_2 & % 41.55/6.21 | cardinality_at_time(efficient_producers, all_20_3) = all_29_1 & % 41.55/6.21 | greater(all_29_1, zero) = all_29_0 & $i(all_29_1) & ( ~ (all_29_2 = 0) % 41.55/6.21 | | all_29_0 = 0 | all_29_1 = zero) % 41.55/6.21 | % 41.55/6.21 | ALPHA: (66) implies: % 41.55/6.21 | (67) greater(all_29_1, zero) = all_29_0 % 41.55/6.21 | (68) cardinality_at_time(efficient_producers, all_20_3) = all_29_1 % 41.55/6.21 | (69) environment(all_20_4) = all_29_2 % 41.55/6.21 | (70) ~ (all_29_2 = 0) | all_29_0 = 0 | all_29_1 = zero % 41.55/6.21 | % 41.55/6.21 | DELTA: instantiating (57) with fresh symbols all_31_0, all_31_1, all_31_2, % 41.55/6.21 | all_31_3 gives: % 41.55/6.21 | (71) appear(an_organisation, all_20_4) = all_31_2 & % 41.55/6.21 | greater_or_equal(all_20_3, all_31_2) = all_31_1 & % 41.55/6.21 | environment(all_20_4) = all_31_3 & greater(all_31_2, all_20_3) = % 41.55/6.21 | all_31_0 & $i(all_31_2) & ( ~ (all_31_3 = 0) | all_31_0 = 0 | all_31_1 % 41.55/6.21 | = 0) % 41.55/6.21 | % 41.55/6.21 | ALPHA: (71) implies: % 41.55/6.21 | (72) environment(all_20_4) = all_31_3 % 41.55/6.21 | (73) appear(an_organisation, all_20_4) = all_31_2 % 41.55/6.21 | % 41.55/6.21 | DELTA: instantiating (56) with fresh symbols all_33_0, all_33_1, all_33_2, % 41.55/6.21 | all_33_3 gives: % 41.55/6.21 | (74) number_of_organizations(all_20_4, all_20_3) = all_33_0 & % 41.55/6.21 | appear(an_organisation, all_20_4) = all_33_2 & environment(all_20_4) = % 41.55/6.21 | all_33_3 & greater(all_33_2, all_20_3) = all_33_1 & $i(all_33_0) & % 41.55/6.21 | $i(all_33_2) & ( ~ (all_33_1 = 0) | ~ (all_33_3 = 0) | all_33_0 = % 41.55/6.21 | zero) % 41.55/6.21 | % 41.55/6.21 | ALPHA: (74) implies: % 41.55/6.22 | (75) environment(all_20_4) = all_33_3 % 41.55/6.22 | (76) appear(an_organisation, all_20_4) = all_33_2 % 41.55/6.22 | (77) number_of_organizations(all_20_4, all_20_3) = all_33_0 % 41.55/6.22 | % 41.55/6.22 | DELTA: instantiating (61) with fresh symbols all_35_0, all_35_1, all_35_2, % 41.55/6.22 | all_35_3, all_35_4 gives: % 41.55/6.22 | (78) environment(all_20_4) = all_35_4 & growth_rate(first_movers, all_20_3) % 41.55/6.22 | = all_35_3 & growth_rate(efficient_producers, all_20_3) = all_35_1 & % 41.55/6.22 | greater(zero, all_35_1) = all_35_0 & greater(zero, all_35_3) = % 41.55/6.22 | all_35_2 & $i(all_35_1) & $i(all_35_3) & ( ~ (all_35_0 = 0) | ~ % 41.55/6.22 | (all_35_4 = 0) | all_35_2 = 0) % 41.55/6.22 | % 41.55/6.22 | ALPHA: (78) implies: % 41.55/6.22 | (79) environment(all_20_4) = all_35_4 % 41.55/6.22 | % 41.55/6.22 | DELTA: instantiating (55) with fresh symbols all_37_0, all_37_1, all_37_2, % 41.55/6.22 | all_37_3, all_37_4 gives: % 41.55/6.22 | (80) number_of_organizations(all_20_4, all_20_3) = all_37_1 & % 41.55/6.22 | appear(an_organisation, all_20_4) = all_37_3 & % 41.55/6.22 | greater_or_equal(all_20_3, all_37_3) = all_37_2 & % 41.55/6.22 | environment(all_20_4) = all_37_4 & greater(all_37_1, zero) = all_37_0 % 41.55/6.22 | & $i(all_37_1) & $i(all_37_3) & ( ~ (all_37_2 = 0) | ~ (all_37_4 = 0) % 41.55/6.22 | | all_37_0 = 0) % 41.55/6.22 | % 41.55/6.22 | ALPHA: (80) implies: % 41.55/6.22 | (81) environment(all_20_4) = all_37_4 % 41.55/6.22 | (82) appear(an_organisation, all_20_4) = all_37_3 % 41.55/6.22 | (83) number_of_organizations(all_20_4, all_20_3) = all_37_1 % 41.55/6.22 | % 41.55/6.22 | DELTA: instantiating (54) with fresh symbols all_39_0, all_39_1, all_39_2, % 41.55/6.22 | all_39_3, all_39_4, all_39_5, all_39_6 gives: % 41.55/6.22 | (84) resources(all_20_4, all_20_3) = all_39_5 & constant(all_39_3) = % 41.55/6.22 | all_39_0 & constant(all_39_5) = all_39_1 & decreases(all_39_3) = % 41.55/6.22 | all_39_2 & decreases(all_39_5) = all_39_4 & % 41.55/6.22 | number_of_organizations(all_20_4, all_20_3) = all_39_3 & % 41.55/6.22 | environment(all_20_4) = all_39_6 & $i(all_39_3) & $i(all_39_5) & ( ~ % 41.55/6.22 | (all_39_6 = 0) | (( ~ (all_39_1 = 0) | all_39_0 = 0) & ( ~ (all_39_2 % 41.55/6.22 | = 0) | ~ (all_39_4 = 0)))) % 41.55/6.22 | % 41.55/6.22 | ALPHA: (84) implies: % 41.55/6.22 | (85) environment(all_20_4) = all_39_6 % 41.55/6.22 | (86) number_of_organizations(all_20_4, all_20_3) = all_39_3 % 41.55/6.22 | (87) resources(all_20_4, all_20_3) = all_39_5 % 41.55/6.22 | % 41.55/6.22 | DELTA: instantiating (60) with fresh symbols all_41_0, all_41_1, all_41_2, % 41.55/6.22 | all_41_3, all_41_4, all_41_5, all_41_6, all_41_7 gives: % 41.55/6.22 | (88) $i(all_41_5) & ((all_41_0 = 0 & all_41_2 = 0 & all_41_3 = 0 & all_41_4 % 41.55/6.22 | = 0 & in_environment(all_20_4, all_41_5) = 0 & % 41.55/6.22 | growth_rate(efficient_producers, all_41_5) = all_41_1 & % 41.55/6.22 | greater(all_41_5, all_20_2) = 0 & greater(all_20_3, all_41_5) = 0 % 41.55/6.22 | & greater(zero, all_41_1) = 0 & $i(all_41_1)) | % 41.55/6.22 | (environment(all_20_4) = all_41_7 & % 41.55/6.22 | cardinality_at_time(efficient_producers, all_20_3) = all_41_6 & % 41.55/6.22 | $i(all_41_6) & ( ~ (all_41_6 = zero) | ~ (all_41_7 = 0)))) % 41.55/6.22 | % 41.55/6.22 | ALPHA: (88) implies: % 41.55/6.22 | (89) $i(all_41_5) % 41.55/6.23 | (90) (all_41_0 = 0 & all_41_2 = 0 & all_41_3 = 0 & all_41_4 = 0 & % 41.55/6.23 | in_environment(all_20_4, all_41_5) = 0 & % 41.55/6.23 | growth_rate(efficient_producers, all_41_5) = all_41_1 & % 41.55/6.23 | greater(all_41_5, all_20_2) = 0 & greater(all_20_3, all_41_5) = 0 & % 41.55/6.23 | greater(zero, all_41_1) = 0 & $i(all_41_1)) | (environment(all_20_4) % 41.55/6.23 | = all_41_7 & cardinality_at_time(efficient_producers, all_20_3) = % 41.55/6.23 | all_41_6 & $i(all_41_6) & ( ~ (all_41_6 = zero) | ~ (all_41_7 = % 41.55/6.23 | 0))) % 41.55/6.23 | % 41.55/6.23 | DELTA: instantiating (53) with fresh symbols all_43_0, all_43_1, all_43_2, % 41.55/6.23 | all_43_3, all_43_4, all_43_5, all_43_6, all_43_7 gives: % 41.55/6.23 | (91) resources(all_20_4, all_20_3) = all_43_2 & equilibrium(all_20_4) = % 41.55/6.23 | all_43_4 & constant(all_43_2) = all_43_0 & decreases(all_43_2) = % 41.55/6.23 | all_43_1 & number_of_organizations(all_20_4, all_20_3) = all_43_6 & % 41.55/6.23 | environment(all_20_4) = all_43_7 & greater(all_43_4, all_20_3) = % 41.55/6.23 | all_43_3 & greater(all_43_6, zero) = all_43_5 & $i(all_43_2) & % 41.55/6.23 | $i(all_43_4) & $i(all_43_6) & ( ~ (all_43_5 = 0) | ~ (all_43_7 = 0) | % 41.55/6.23 | (( ~ (all_43_3 = 0) | all_43_1 = 0) & (all_43_0 = 0 | all_43_3 = % 41.55/6.23 | 0))) % 41.55/6.23 | % 41.55/6.23 | ALPHA: (91) implies: % 41.55/6.23 | (92) greater(all_43_4, all_20_3) = all_43_3 % 41.55/6.23 | (93) environment(all_20_4) = all_43_7 % 41.55/6.23 | (94) number_of_organizations(all_20_4, all_20_3) = all_43_6 % 41.55/6.23 | (95) equilibrium(all_20_4) = all_43_4 % 41.55/6.23 | (96) resources(all_20_4, all_20_3) = all_43_2 % 41.55/6.23 | % 41.55/6.23 | GROUND_INST: instantiating (34) with all_20_1, all_29_1, all_20_3, % 41.55/6.23 | efficient_producers, simplifying with (49), (68) gives: % 41.55/6.23 | (97) all_29_1 = all_20_1 % 41.55/6.23 | % 41.55/6.23 | GROUND_INST: instantiating (27) with all_29_2, all_31_3, all_20_4, simplifying % 41.55/6.23 | with (69), (72) gives: % 41.55/6.23 | (98) all_31_3 = all_29_2 % 41.55/6.23 | % 41.55/6.23 | GROUND_INST: instantiating (27) with all_31_3, all_33_3, all_20_4, simplifying % 41.55/6.23 | with (72), (75) gives: % 41.55/6.23 | (99) all_33_3 = all_31_3 % 41.55/6.23 | % 41.55/6.23 | GROUND_INST: instantiating (27) with all_27_2, all_33_3, all_20_4, simplifying % 41.55/6.23 | with (63), (75) gives: % 41.55/6.23 | (100) all_33_3 = all_27_2 % 41.55/6.23 | % 41.55/6.23 | GROUND_INST: instantiating (27) with all_29_2, all_35_4, all_20_4, simplifying % 41.55/6.23 | with (69), (79) gives: % 41.55/6.23 | (101) all_35_4 = all_29_2 % 41.55/6.23 | % 41.55/6.23 | GROUND_INST: instantiating (27) with 0, all_39_6, all_20_4, simplifying with % 41.55/6.23 | (50), (85) gives: % 41.55/6.23 | (102) all_39_6 = 0 % 41.55/6.23 | % 41.55/6.23 | GROUND_INST: instantiating (27) with all_35_4, all_39_6, all_20_4, simplifying % 41.55/6.23 | with (79), (85) gives: % 41.55/6.23 | (103) all_39_6 = all_35_4 % 41.55/6.23 | % 41.55/6.23 | GROUND_INST: instantiating (27) with all_39_6, all_43_7, all_20_4, simplifying % 41.55/6.23 | with (85), (93) gives: % 41.55/6.23 | (104) all_43_7 = all_39_6 % 41.55/6.23 | % 41.55/6.23 | GROUND_INST: instantiating (27) with all_37_4, all_43_7, all_20_4, simplifying % 41.55/6.23 | with (81), (93) gives: % 41.55/6.23 | (105) all_43_7 = all_37_4 % 41.55/6.23 | % 41.55/6.23 | GROUND_INST: instantiating (36) with all_33_2, all_37_3, all_20_4, % 41.55/6.23 | an_organisation, simplifying with (76), (82) gives: % 41.55/6.23 | (106) all_37_3 = all_33_2 % 41.55/6.23 | % 41.55/6.24 | GROUND_INST: instantiating (36) with all_31_2, all_37_3, all_20_4, % 41.55/6.24 | an_organisation, simplifying with (73), (82) gives: % 41.55/6.24 | (107) all_37_3 = all_31_2 % 41.55/6.24 | % 41.55/6.24 | GROUND_INST: instantiating (37) with all_37_1, all_39_3, all_20_3, all_20_4, % 41.55/6.24 | simplifying with (83), (86) gives: % 41.55/6.24 | (108) all_39_3 = all_37_1 % 41.55/6.24 | % 41.55/6.24 | GROUND_INST: instantiating (37) with all_39_3, all_43_6, all_20_3, all_20_4, % 41.55/6.24 | simplifying with (86), (94) gives: % 41.55/6.24 | (109) all_43_6 = all_39_3 % 41.55/6.24 | % 41.55/6.24 | GROUND_INST: instantiating (37) with all_33_0, all_43_6, all_20_3, all_20_4, % 41.55/6.24 | simplifying with (77), (94) gives: % 41.55/6.24 | (110) all_43_6 = all_33_0 % 41.55/6.24 | % 41.55/6.24 | GROUND_INST: instantiating (38) with all_39_5, all_43_2, all_20_3, all_20_4, % 41.55/6.24 | simplifying with (87), (96) gives: % 41.55/6.24 | (111) all_43_2 = all_39_5 % 41.55/6.24 | % 41.55/6.24 | COMBINE_EQS: (109), (110) imply: % 41.55/6.24 | (112) all_39_3 = all_33_0 % 41.55/6.24 | % 41.55/6.24 | SIMP: (112) implies: % 41.55/6.24 | (113) all_39_3 = all_33_0 % 41.55/6.24 | % 41.55/6.24 | COMBINE_EQS: (104), (105) imply: % 41.55/6.24 | (114) all_39_6 = all_37_4 % 41.55/6.24 | % 41.55/6.24 | SIMP: (114) implies: % 41.55/6.24 | (115) all_39_6 = all_37_4 % 41.55/6.24 | % 41.55/6.24 | COMBINE_EQS: (108), (113) imply: % 41.55/6.24 | (116) all_37_1 = all_33_0 % 41.55/6.24 | % 41.55/6.24 | SIMP: (116) implies: % 41.55/6.24 | (117) all_37_1 = all_33_0 % 41.55/6.24 | % 41.55/6.24 | COMBINE_EQS: (102), (115) imply: % 41.55/6.24 | (118) all_37_4 = 0 % 41.55/6.24 | % 41.55/6.24 | COMBINE_EQS: (103), (115) imply: % 41.55/6.24 | (119) all_37_4 = all_35_4 % 41.55/6.24 | % 41.55/6.24 | COMBINE_EQS: (106), (107) imply: % 41.55/6.24 | (120) all_33_2 = all_31_2 % 41.55/6.24 | % 41.55/6.24 | SIMP: (120) implies: % 41.55/6.24 | (121) all_33_2 = all_31_2 % 41.55/6.24 | % 41.55/6.24 | COMBINE_EQS: (118), (119) imply: % 41.55/6.24 | (122) all_35_4 = 0 % 41.55/6.24 | % 41.55/6.24 | SIMP: (122) implies: % 41.55/6.24 | (123) all_35_4 = 0 % 41.55/6.24 | % 41.55/6.24 | COMBINE_EQS: (101), (123) imply: % 41.55/6.24 | (124) all_29_2 = 0 % 41.55/6.24 | % 41.55/6.24 | SIMP: (124) implies: % 41.55/6.24 | (125) all_29_2 = 0 % 41.55/6.24 | % 41.55/6.24 | COMBINE_EQS: (99), (100) imply: % 41.55/6.24 | (126) all_31_3 = all_27_2 % 41.55/6.24 | % 41.55/6.24 | SIMP: (126) implies: % 41.55/6.24 | (127) all_31_3 = all_27_2 % 41.55/6.24 | % 41.55/6.24 | COMBINE_EQS: (98), (127) imply: % 41.55/6.24 | (128) all_29_2 = all_27_2 % 41.55/6.24 | % 41.55/6.24 | SIMP: (128) implies: % 41.55/6.24 | (129) all_29_2 = all_27_2 % 41.55/6.24 | % 41.55/6.24 | COMBINE_EQS: (125), (129) imply: % 41.55/6.24 | (130) all_27_2 = 0 % 41.55/6.24 | % 41.55/6.24 | SIMP: (130) implies: % 41.55/6.24 | (131) all_27_2 = 0 % 41.55/6.24 | % 41.55/6.24 | REDUCE: (67), (97) imply: % 41.55/6.24 | (132) greater(all_20_1, zero) = all_29_0 % 41.55/6.24 | % 41.55/6.24 | BETA: splitting (65) gives: % 41.55/6.24 | % 41.55/6.24 | Case 1: % 41.55/6.24 | | % 41.55/6.24 | | (133) ~ (all_27_2 = 0) % 41.55/6.24 | | % 41.55/6.24 | | REDUCE: (131), (133) imply: % 41.55/6.24 | | (134) $false % 41.55/6.24 | | % 41.55/6.24 | | CLOSE: (134) is inconsistent. % 41.55/6.24 | | % 41.55/6.24 | Case 2: % 41.55/6.24 | | % 41.55/6.25 | | (135) all_27_0 = 0 & all_27_1 = 0 % 41.55/6.25 | | % 41.55/6.25 | | ALPHA: (135) implies: % 41.55/6.25 | | (136) all_27_1 = 0 % 41.55/6.25 | | % 41.55/6.25 | | REDUCE: (64), (136) imply: % 41.55/6.25 | | (137) subpopulation(first_movers, all_20_4, all_20_3) = 0 % 41.55/6.25 | | % 41.55/6.25 | | GROUND_INST: instantiating (31) with all_20_0, all_29_0, zero, all_20_1, % 41.55/6.25 | | simplifying with (47), (132) gives: % 41.55/6.25 | | (138) all_29_0 = all_20_0 % 41.55/6.25 | | % 41.55/6.25 | | BETA: splitting (70) gives: % 41.55/6.25 | | % 41.55/6.25 | | Case 1: % 41.55/6.25 | | | % 41.55/6.25 | | | (139) ~ (all_29_2 = 0) % 41.55/6.25 | | | % 41.55/6.25 | | | REDUCE: (125), (139) imply: % 41.55/6.25 | | | (140) $false % 41.55/6.25 | | | % 41.55/6.25 | | | CLOSE: (140) is inconsistent. % 41.55/6.25 | | | % 41.55/6.25 | | Case 2: % 41.55/6.25 | | | % 41.55/6.25 | | | (141) all_29_0 = 0 | all_29_1 = zero % 41.55/6.25 | | | % 41.55/6.25 | | | BETA: splitting (141) gives: % 41.55/6.25 | | | % 41.55/6.25 | | | Case 1: % 41.55/6.25 | | | | % 41.55/6.25 | | | | (142) all_29_1 = zero % 41.55/6.25 | | | | % 41.55/6.25 | | | | COMBINE_EQS: (97), (142) imply: % 41.55/6.25 | | | | (143) all_20_1 = zero % 41.55/6.25 | | | | % 41.55/6.25 | | | | SIMP: (143) implies: % 41.55/6.25 | | | | (144) all_20_1 = zero % 41.55/6.25 | | | | % 41.55/6.25 | | | | REDUCE: (49), (144) imply: % 41.55/6.25 | | | | (145) cardinality_at_time(efficient_producers, all_20_3) = zero % 41.55/6.25 | | | | % 41.55/6.25 | | | | BETA: splitting (90) gives: % 41.55/6.25 | | | | % 41.55/6.25 | | | | Case 1: % 41.55/6.25 | | | | | % 41.55/6.25 | | | | | (146) all_41_0 = 0 & all_41_2 = 0 & all_41_3 = 0 & all_41_4 = 0 & % 41.55/6.25 | | | | | in_environment(all_20_4, all_41_5) = 0 & % 41.55/6.25 | | | | | growth_rate(efficient_producers, all_41_5) = all_41_1 & % 41.55/6.25 | | | | | greater(all_41_5, all_20_2) = 0 & greater(all_20_3, all_41_5) % 41.55/6.25 | | | | | = 0 & greater(zero, all_41_1) = 0 & $i(all_41_1) % 41.55/6.25 | | | | | % 41.55/6.25 | | | | | ALPHA: (146) implies: % 41.55/6.25 | | | | | (147) greater(zero, all_41_1) = 0 % 41.55/6.25 | | | | | (148) growth_rate(efficient_producers, all_41_5) = all_41_1 % 41.55/6.25 | | | | | (149) in_environment(all_20_4, all_41_5) = 0 % 41.55/6.25 | | | | | % 41.55/6.26 | | | | | GROUND_INST: instantiating (21) with all_20_4, first_movers, % 41.55/6.26 | | | | | efficient_producers, all_41_5, all_18_1, all_18_0, % 41.55/6.26 | | | | | all_41_1, simplifying with (23), (25), (40), (41), (42), % 41.55/6.26 | | | | | (45), (50), (89), (147), (148) gives: % 41.55/6.26 | | | | | (150) ? [v0: any] : ? [v1: $i] : ? [v2: any] : % 41.55/6.26 | | | | | (in_environment(all_20_4, all_41_5) = v0 & % 41.55/6.26 | | | | | growth_rate(first_movers, all_41_5) = v1 & greater(zero, % 41.55/6.26 | | | | | v1) = v2 & $i(v1) & ( ~ (v0 = 0) | v2 = 0)) % 41.55/6.26 | | | | | % 41.55/6.26 | | | | | GROUND_INST: instantiating (6) with efficient_producers, all_41_5, % 41.55/6.26 | | | | | all_41_1, simplifying with (25), (89), (148) gives: % 41.55/6.26 | | | | | (151) ? [v0: $i] : ? [v1: any] : % 41.55/6.26 | | | | | (cardinality_at_time(efficient_producers, all_41_5) = v0 & % 41.55/6.26 | | | | | greater(zero, all_41_1) = v1 & $i(v0) & ( ~ (v1 = 0) | ~ % 41.55/6.26 | | | | | (v0 = zero))) % 41.55/6.26 | | | | | % 41.55/6.26 | | | | | GROUND_INST: instantiating (20) with all_20_4, first_movers, % 41.55/6.26 | | | | | efficient_producers, all_41_5, all_18_1, all_18_0, % 41.55/6.26 | | | | | simplifying with (23), (25), (40), (41), (42), (45), % 41.55/6.26 | | | | | (89), (149) gives: % 41.55/6.26 | | | | | (152) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? % 41.55/6.26 | | | | | [v4: any] : (environment(all_20_4) = v0 & % 41.55/6.26 | | | | | growth_rate(first_movers, all_41_5) = v1 & % 41.55/6.26 | | | | | growth_rate(efficient_producers, all_41_5) = v3 & % 41.55/6.26 | | | | | greater(zero, v3) = v4 & greater(zero, v1) = v2 & $i(v3) & % 41.55/6.26 | | | | | $i(v1) & ( ~ (v4 = 0) | ~ (v0 = 0) | v2 = 0)) % 41.55/6.26 | | | | | % 41.55/6.26 | | | | | GROUND_INST: instantiating (3) with all_20_4, all_41_5, simplifying % 41.55/6.26 | | | | | with (45), (89), (149) gives: % 41.55/6.26 | | | | | (153) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? % 41.55/6.26 | | | | | [v4: int] : ? [v5: $i] : ? [v6: int] : ? [v7: $i] : ? % 41.55/6.26 | | | | | [v8: int] : ($i(v3) & ((v6 = 0 & v4 = 0 & ~ (v8 = 0) & % 41.55/6.26 | | | | | subpopulation(v3, all_20_4, all_41_5) = 0 & % 41.55/6.26 | | | | | cardinality_at_time(v3, all_41_5) = v5 & % 41.55/6.26 | | | | | growth_rate(v3, all_41_5) = v7 & greater(v5, zero) = 0 % 41.55/6.26 | | | | | & greater(zero, v7) = v8 & $i(v7) & $i(v5)) | % 41.55/6.26 | | | | | (decreases(v1) = v2 & number_of_organizations(all_20_4, % 41.55/6.26 | | | | | all_41_5) = v1 & environment(all_20_4) = v0 & $i(v1) % 41.55/6.26 | | | | | & ( ~ (v0 = 0) | v2 = 0)))) % 41.55/6.26 | | | | | % 41.55/6.26 | | | | | GROUND_INST: instantiating (11) with all_20_4, all_41_5, simplifying % 41.55/6.26 | | | | | with (45), (89), (149) gives: % 41.55/6.27 | | | | | (154) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? % 41.55/6.27 | | | | | [v4: any] : ? [v5: $i] : ? [v6: any] : ? [v7: any] : % 41.55/6.27 | | | | | (resources(all_20_4, all_41_5) = v5 & equilibrium(all_20_4) = % 41.55/6.27 | | | | | v3 & constant(v5) = v7 & decreases(v5) = v6 & % 41.55/6.27 | | | | | number_of_organizations(all_20_4, all_41_5) = v1 & % 41.55/6.27 | | | | | environment(all_20_4) = v0 & greater(v3, all_41_5) = v4 & % 41.55/6.27 | | | | | greater(v1, zero) = v2 & $i(v5) & $i(v3) & $i(v1) & ( ~ (v2 % 41.55/6.27 | | | | | = 0) | ~ (v0 = 0) | (( ~ (v4 = 0) | v6 = 0) & (v7 = 0 % 41.55/6.27 | | | | | | v4 = 0)))) % 41.55/6.27 | | | | | % 41.55/6.27 | | | | | GROUND_INST: instantiating (17) with all_20_4, all_41_5, simplifying % 41.55/6.27 | | | | | with (45), (89), (149) gives: % 41.55/6.27 | | | | | (155) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? % 41.55/6.27 | | | | | [v4: any] : ? [v5: any] : ? [v6: any] : % 41.55/6.27 | | | | | (resources(all_20_4, all_41_5) = v1 & constant(v3) = v6 & % 41.55/6.27 | | | | | constant(v1) = v5 & decreases(v3) = v4 & decreases(v1) = v2 % 41.55/6.27 | | | | | & number_of_organizations(all_20_4, all_41_5) = v3 & % 41.55/6.27 | | | | | environment(all_20_4) = v0 & $i(v3) & $i(v1) & ( ~ (v0 = 0) % 41.55/6.27 | | | | | | (( ~ (v5 = 0) | v6 = 0) & ( ~ (v4 = 0) | ~ (v2 = % 41.55/6.27 | | | | | 0))))) % 41.55/6.27 | | | | | % 41.55/6.27 | | | | | GROUND_INST: instantiating (15) with all_20_4, all_41_5, simplifying % 41.55/6.27 | | | | | with (45), (89), (149) gives: % 41.55/6.27 | | | | | (156) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? % 41.55/6.27 | | | | | [v4: any] : (number_of_organizations(all_20_4, all_41_5) = v3 % 41.55/6.27 | | | | | & appear(an_organisation, all_20_4) = v1 & % 41.55/6.27 | | | | | greater_or_equal(all_41_5, v1) = v2 & environment(all_20_4) % 41.55/6.27 | | | | | = v0 & greater(v3, zero) = v4 & $i(v3) & $i(v1) & ( ~ (v2 = % 41.55/6.27 | | | | | 0) | ~ (v0 = 0) | v4 = 0)) % 41.55/6.27 | | | | | % 41.55/6.27 | | | | | GROUND_INST: instantiating (2) with all_20_4, all_41_5, simplifying % 41.55/6.27 | | | | | with (45), (89), (149) gives: % 41.55/6.27 | | | | | (157) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : % 41.55/6.27 | | | | | (number_of_organizations(all_20_4, all_41_5) = v3 & % 41.55/6.27 | | | | | appear(an_organisation, all_20_4) = v1 & % 41.55/6.27 | | | | | environment(all_20_4) = v0 & greater(v1, all_41_5) = v2 & % 41.55/6.27 | | | | | $i(v3) & $i(v1) & ( ~ (v2 = 0) | ~ (v0 = 0) | v3 = zero)) % 41.55/6.27 | | | | | % 41.55/6.27 | | | | | GROUND_INST: instantiating (9) with all_20_4, all_41_5, simplifying % 41.55/6.27 | | | | | with (45), (89), (149) gives: % 41.55/6.27 | | | | | (158) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: any] : % 41.55/6.27 | | | | | (appear(an_organisation, all_20_4) = v1 & % 41.55/6.27 | | | | | greater_or_equal(all_41_5, v1) = v2 & environment(all_20_4) % 41.55/6.27 | | | | | = v0 & greater(v1, all_41_5) = v3 & $i(v1) & ( ~ (v0 = 0) | % 41.55/6.27 | | | | | v3 = 0 | v2 = 0)) % 41.55/6.27 | | | | | % 41.55/6.27 | | | | | GROUND_INST: instantiating (5) with all_20_4, all_41_5, simplifying % 41.55/6.27 | | | | | with (45), (89), (149) gives: % 41.55/6.27 | | | | | (159) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 41.55/6.27 | | | | | (subpopulation(first_movers, all_20_4, all_41_5) = v1 & % 41.55/6.27 | | | | | subpopulation(efficient_producers, all_20_4, all_41_5) = v2 % 41.55/6.27 | | | | | & environment(all_20_4) = v0 & ( ~ (v0 = 0) | (v2 = 0 & v1 % 41.55/6.27 | | | | | = 0))) % 41.55/6.27 | | | | | % 41.55/6.27 | | | | | GROUND_INST: instantiating (7) with all_20_4, all_41_5, simplifying % 41.55/6.27 | | | | | with (45), (89), (149) gives: % 41.55/6.27 | | | | | (160) ? [v0: any] : ? [v1: $i] : ? [v2: any] : % 41.55/6.27 | | | | | (environment(all_20_4) = v0 & % 41.55/6.27 | | | | | cardinality_at_time(efficient_producers, all_41_5) = v1 & % 41.55/6.27 | | | | | greater(v1, zero) = v2 & $i(v1) & ( ~ (v0 = 0) | v2 = 0 | % 41.55/6.27 | | | | | v1 = zero)) % 41.55/6.27 | | | | | % 41.55/6.27 | | | | | GROUND_INST: instantiating (12) with all_20_4, all_20_3, all_33_0, % 41.55/6.27 | | | | | simplifying with (45), (46), (77) gives: % 41.55/6.28 | | | | | (161) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: $i] : ? % 41.55/6.28 | | | | | [v4: any] : ? [v5: $i] : ? [v6: any] : ? [v7: any] : % 41.55/6.28 | | | | | (resources(all_20_4, all_20_3) = v5 & equilibrium(all_20_4) = % 41.55/6.28 | | | | | v3 & constant(v5) = v7 & decreases(v5) = v6 & % 41.55/6.28 | | | | | environment(all_20_4) = v0 & in_environment(all_20_4, % 41.55/6.28 | | | | | all_20_3) = v1 & greater(v3, all_20_3) = v4 & % 41.55/6.28 | | | | | greater(all_33_0, zero) = v2 & $i(v5) & $i(v3) & ( ~ (v2 = % 41.55/6.28 | | | | | 0) | ~ (v1 = 0) | ~ (v0 = 0) | (( ~ (v4 = 0) | v6 = % 41.55/6.28 | | | | | 0) & (v7 = 0 | v4 = 0)))) % 41.55/6.28 | | | | | % 41.55/6.28 | | | | | GROUND_INST: instantiating (18) with all_20_4, all_20_3, all_33_0, % 41.55/6.28 | | | | | simplifying with (45), (46), (77) gives: % 41.55/6.28 | | | | | (162) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] : ? % 41.55/6.28 | | | | | [v4: any] : ? [v5: any] : ? [v6: any] : % 41.55/6.28 | | | | | (resources(all_20_4, all_20_3) = v2 & constant(v2) = v5 & % 41.55/6.28 | | | | | constant(all_33_0) = v6 & decreases(v2) = v3 & % 41.55/6.28 | | | | | decreases(all_33_0) = v4 & environment(all_20_4) = v0 & % 41.55/6.28 | | | | | in_environment(all_20_4, all_20_3) = v1 & $i(v2) & ( ~ (v1 % 41.55/6.28 | | | | | = 0) | ~ (v0 = 0) | (( ~ (v5 = 0) | v6 = 0) & ( ~ (v4 % 41.55/6.28 | | | | | = 0) | ~ (v3 = 0))))) % 41.55/6.28 | | | | | % 41.55/6.28 | | | | | GROUND_INST: instantiating (16) with all_20_4, all_20_3, all_33_0, % 41.55/6.28 | | | | | simplifying with (45), (46), (77) gives: % 41.55/6.28 | | | | | (163) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] : ? % 41.55/6.28 | | | | | [v4: any] : (appear(an_organisation, all_20_4) = v2 & % 41.55/6.28 | | | | | greater_or_equal(all_20_3, v2) = v3 & environment(all_20_4) % 41.55/6.28 | | | | | = v0 & in_environment(all_20_4, all_20_3) = v1 & % 41.55/6.28 | | | | | greater(all_33_0, zero) = v4 & $i(v2) & ( ~ (v3 = 0) | ~ % 41.55/6.28 | | | | | (v1 = 0) | ~ (v0 = 0) | v4 = 0)) % 41.55/6.28 | | | | | % 41.55/6.28 | | | | | GROUND_INST: instantiating (4) with all_20_4, all_20_3, first_movers, % 41.55/6.28 | | | | | simplifying with (23), (45), (46), (137) gives: % 41.55/6.28 | | | | | (164) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: $i] : % 41.55/6.28 | | | | | (number_of_organizations(all_20_4, all_20_3) = v2 & % 41.55/6.28 | | | | | environment(all_20_4) = v0 & % 41.55/6.28 | | | | | cardinality_at_time(first_movers, all_20_3) = v3 & % 41.55/6.28 | | | | | in_environment(all_20_4, all_20_3) = v1 & $i(v3) & $i(v2) & % 41.55/6.28 | | | | | ( ~ (v2 = zero) | ~ (v1 = 0) | ~ (v0 = 0) | v3 = zero)) % 41.55/6.28 | | | | | % 41.55/6.28 | | | | | GROUND_INST: instantiating (14) with all_20_4, all_20_3, all_43_4, % 41.55/6.28 | | | | | all_43_3, simplifying with (45), (46), (92), (95) gives: % 41.55/6.28 | | | | | (165) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] : ? % 41.55/6.28 | | | | | [v4: $i] : ? [v5: any] : ? [v6: any] : (resources(all_20_4, % 41.55/6.28 | | | | | all_20_3) = v4 & constant(v4) = v6 & decreases(v4) = v5 & % 41.55/6.28 | | | | | number_of_organizations(all_20_4, all_20_3) = v2 & % 41.55/6.28 | | | | | environment(all_20_4) = v0 & in_environment(all_20_4, % 41.55/6.28 | | | | | all_20_3) = v1 & greater(v2, zero) = v3 & $i(v4) & $i(v2) % 41.55/6.28 | | | | | & ( ~ (v3 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (( ~ (all_43_3 % 41.55/6.28 | | | | | = 0) | v5 = 0) & (v6 = 0 | all_43_3 = 0)))) % 41.55/6.28 | | | | | % 41.55/6.28 | | | | | GROUND_INST: instantiating (13) with all_20_4, all_20_3, all_39_5, % 41.55/6.28 | | | | | simplifying with (45), (46), (87) gives: % 41.55/6.28 | | | | | (166) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] : ? % 41.55/6.28 | | | | | [v4: $i] : ? [v5: any] : ? [v6: any] : ? [v7: any] : % 41.55/6.28 | | | | | (equilibrium(all_20_4) = v4 & constant(all_39_5) = v7 & % 41.55/6.28 | | | | | decreases(all_39_5) = v6 & % 41.55/6.28 | | | | | number_of_organizations(all_20_4, all_20_3) = v2 & % 41.55/6.28 | | | | | environment(all_20_4) = v0 & in_environment(all_20_4, % 41.55/6.28 | | | | | all_20_3) = v1 & greater(v4, all_20_3) = v5 & greater(v2, % 41.55/6.28 | | | | | zero) = v3 & $i(v4) & $i(v2) & ( ~ (v3 = 0) | ~ (v1 = 0) % 41.55/6.28 | | | | | | ~ (v0 = 0) | (( ~ (v5 = 0) | v6 = 0) & (v7 = 0 | v5 = % 41.55/6.28 | | | | | 0)))) % 41.55/6.28 | | | | | % 41.55/6.28 | | | | | GROUND_INST: instantiating (19) with all_20_4, all_20_3, all_39_5, % 41.55/6.28 | | | | | simplifying with (45), (46), (87) gives: % 41.55/6.28 | | | | | (167) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: $i] : ? % 41.55/6.28 | | | | | [v4: any] : ? [v5: any] : ? [v6: any] : (constant(v3) = v6 % 41.55/6.28 | | | | | & constant(all_39_5) = v5 & decreases(v3) = v4 & % 41.55/6.28 | | | | | decreases(all_39_5) = v2 & % 41.55/6.28 | | | | | number_of_organizations(all_20_4, all_20_3) = v3 & % 41.55/6.28 | | | | | environment(all_20_4) = v0 & in_environment(all_20_4, % 41.55/6.28 | | | | | all_20_3) = v1 & $i(v3) & ( ~ (v1 = 0) | ~ (v0 = 0) | (( % 41.55/6.28 | | | | | ~ (v5 = 0) | v6 = 0) & ( ~ (v4 = 0) | ~ (v2 = 0))))) % 41.55/6.29 | | | | | % 41.55/6.29 | | | | | DELTA: instantiating (151) with fresh symbols all_80_0, all_80_1 % 41.55/6.29 | | | | | gives: % 41.55/6.29 | | | | | (168) cardinality_at_time(efficient_producers, all_41_5) = all_80_1 % 41.55/6.29 | | | | | & greater(zero, all_41_1) = all_80_0 & $i(all_80_1) & ( ~ % 41.55/6.29 | | | | | (all_80_0 = 0) | ~ (all_80_1 = zero)) % 41.55/6.29 | | | | | % 41.55/6.29 | | | | | ALPHA: (168) implies: % 41.55/6.29 | | | | | (169) greater(zero, all_41_1) = all_80_0 % 41.55/6.29 | | | | | % 41.55/6.29 | | | | | DELTA: instantiating (150) with fresh symbols all_84_0, all_84_1, % 41.55/6.29 | | | | | all_84_2 gives: % 41.55/6.29 | | | | | (170) in_environment(all_20_4, all_41_5) = all_84_2 & % 41.55/6.29 | | | | | growth_rate(first_movers, all_41_5) = all_84_1 & % 41.55/6.29 | | | | | greater(zero, all_84_1) = all_84_0 & $i(all_84_1) & ( ~ % 41.55/6.29 | | | | | (all_84_2 = 0) | all_84_0 = 0) % 41.55/6.29 | | | | | % 41.55/6.29 | | | | | ALPHA: (170) implies: % 41.55/6.29 | | | | | (171) greater(zero, all_84_1) = all_84_0 % 41.55/6.29 | | | | | (172) growth_rate(first_movers, all_41_5) = all_84_1 % 41.55/6.29 | | | | | (173) in_environment(all_20_4, all_41_5) = all_84_2 % 41.55/6.29 | | | | | (174) ~ (all_84_2 = 0) | all_84_0 = 0 % 41.55/6.29 | | | | | % 41.55/6.29 | | | | | DELTA: instantiating (159) with fresh symbols all_86_0, all_86_1, % 41.55/6.29 | | | | | all_86_2 gives: % 41.55/6.29 | | | | | (175) subpopulation(first_movers, all_20_4, all_41_5) = all_86_1 & % 41.55/6.29 | | | | | subpopulation(efficient_producers, all_20_4, all_41_5) = % 41.55/6.29 | | | | | all_86_0 & environment(all_20_4) = all_86_2 & ( ~ (all_86_2 = % 41.55/6.29 | | | | | 0) | (all_86_0 = 0 & all_86_1 = 0)) % 41.55/6.29 | | | | | % 41.55/6.29 | | | | | ALPHA: (175) implies: % 41.55/6.29 | | | | | (176) environment(all_20_4) = all_86_2 % 41.55/6.29 | | | | | (177) subpopulation(efficient_producers, all_20_4, all_41_5) = % 41.55/6.29 | | | | | all_86_0 % 41.55/6.29 | | | | | (178) subpopulation(first_movers, all_20_4, all_41_5) = all_86_1 % 41.55/6.29 | | | | | (179) ~ (all_86_2 = 0) | (all_86_0 = 0 & all_86_1 = 0) % 41.55/6.29 | | | | | % 41.55/6.29 | | | | | DELTA: instantiating (160) with fresh symbols all_88_0, all_88_1, % 41.55/6.29 | | | | | all_88_2 gives: % 41.55/6.29 | | | | | (180) environment(all_20_4) = all_88_2 & % 41.55/6.29 | | | | | cardinality_at_time(efficient_producers, all_41_5) = all_88_1 % 41.55/6.29 | | | | | & greater(all_88_1, zero) = all_88_0 & $i(all_88_1) & ( ~ % 41.55/6.29 | | | | | (all_88_2 = 0) | all_88_0 = 0 | all_88_1 = zero) % 41.55/6.29 | | | | | % 41.55/6.29 | | | | | ALPHA: (180) implies: % 41.55/6.29 | | | | | (181) environment(all_20_4) = all_88_2 % 41.55/6.29 | | | | | % 41.55/6.29 | | | | | DELTA: instantiating (158) with fresh symbols all_90_0, all_90_1, % 41.55/6.29 | | | | | all_90_2, all_90_3 gives: % 41.55/6.29 | | | | | (182) appear(an_organisation, all_20_4) = all_90_2 & % 41.55/6.29 | | | | | greater_or_equal(all_41_5, all_90_2) = all_90_1 & % 41.55/6.29 | | | | | environment(all_20_4) = all_90_3 & greater(all_90_2, % 41.55/6.29 | | | | | all_41_5) = all_90_0 & $i(all_90_2) & ( ~ (all_90_3 = 0) | % 41.55/6.29 | | | | | all_90_0 = 0 | all_90_1 = 0) % 41.55/6.29 | | | | | % 41.55/6.29 | | | | | ALPHA: (182) implies: % 41.55/6.29 | | | | | (183) greater(all_90_2, all_41_5) = all_90_0 % 41.55/6.29 | | | | | (184) environment(all_20_4) = all_90_3 % 41.55/6.29 | | | | | (185) greater_or_equal(all_41_5, all_90_2) = all_90_1 % 41.55/6.29 | | | | | (186) appear(an_organisation, all_20_4) = all_90_2 % 41.55/6.29 | | | | | (187) ~ (all_90_3 = 0) | all_90_0 = 0 | all_90_1 = 0 % 41.55/6.29 | | | | | % 41.55/6.29 | | | | | DELTA: instantiating (157) with fresh symbols all_92_0, all_92_1, % 41.55/6.29 | | | | | all_92_2, all_92_3 gives: % 41.55/6.29 | | | | | (188) number_of_organizations(all_20_4, all_41_5) = all_92_0 & % 41.55/6.29 | | | | | appear(an_organisation, all_20_4) = all_92_2 & % 41.55/6.29 | | | | | environment(all_20_4) = all_92_3 & greater(all_92_2, % 41.55/6.29 | | | | | all_41_5) = all_92_1 & $i(all_92_0) & $i(all_92_2) & ( ~ % 41.55/6.29 | | | | | (all_92_1 = 0) | ~ (all_92_3 = 0) | all_92_0 = zero) % 41.55/6.29 | | | | | % 41.55/6.29 | | | | | ALPHA: (188) implies: % 41.55/6.29 | | | | | (189) greater(all_92_2, all_41_5) = all_92_1 % 41.55/6.29 | | | | | (190) environment(all_20_4) = all_92_3 % 41.55/6.29 | | | | | (191) appear(an_organisation, all_20_4) = all_92_2 % 41.55/6.29 | | | | | (192) number_of_organizations(all_20_4, all_41_5) = all_92_0 % 41.55/6.29 | | | | | (193) ~ (all_92_1 = 0) | ~ (all_92_3 = 0) | all_92_0 = zero % 41.55/6.29 | | | | | % 41.55/6.29 | | | | | DELTA: instantiating (152) with fresh symbols all_94_0, all_94_1, % 41.55/6.29 | | | | | all_94_2, all_94_3, all_94_4 gives: % 41.55/6.29 | | | | | (194) environment(all_20_4) = all_94_4 & growth_rate(first_movers, % 41.55/6.29 | | | | | all_41_5) = all_94_3 & growth_rate(efficient_producers, % 41.55/6.29 | | | | | all_41_5) = all_94_1 & greater(zero, all_94_1) = all_94_0 & % 41.55/6.29 | | | | | greater(zero, all_94_3) = all_94_2 & $i(all_94_1) & % 41.55/6.29 | | | | | $i(all_94_3) & ( ~ (all_94_0 = 0) | ~ (all_94_4 = 0) | % 41.55/6.29 | | | | | all_94_2 = 0) % 41.55/6.29 | | | | | % 41.55/6.29 | | | | | ALPHA: (194) implies: % 41.55/6.29 | | | | | (195) greater(zero, all_94_3) = all_94_2 % 41.55/6.29 | | | | | (196) greater(zero, all_94_1) = all_94_0 % 41.55/6.29 | | | | | (197) growth_rate(efficient_producers, all_41_5) = all_94_1 % 41.55/6.29 | | | | | (198) growth_rate(first_movers, all_41_5) = all_94_3 % 41.55/6.29 | | | | | (199) environment(all_20_4) = all_94_4 % 41.55/6.29 | | | | | % 41.55/6.29 | | | | | DELTA: instantiating (156) with fresh symbols all_96_0, all_96_1, % 41.55/6.29 | | | | | all_96_2, all_96_3, all_96_4 gives: % 41.55/6.30 | | | | | (200) number_of_organizations(all_20_4, all_41_5) = all_96_1 & % 41.55/6.30 | | | | | appear(an_organisation, all_20_4) = all_96_3 & % 41.55/6.30 | | | | | greater_or_equal(all_41_5, all_96_3) = all_96_2 & % 41.55/6.30 | | | | | environment(all_20_4) = all_96_4 & greater(all_96_1, zero) = % 41.55/6.30 | | | | | all_96_0 & $i(all_96_1) & $i(all_96_3) & ( ~ (all_96_2 = 0) | % 41.55/6.30 | | | | | ~ (all_96_4 = 0) | all_96_0 = 0) % 41.55/6.30 | | | | | % 41.55/6.30 | | | | | ALPHA: (200) implies: % 41.55/6.30 | | | | | (201) greater(all_96_1, zero) = all_96_0 % 41.55/6.30 | | | | | (202) environment(all_20_4) = all_96_4 % 41.55/6.30 | | | | | (203) greater_or_equal(all_41_5, all_96_3) = all_96_2 % 41.55/6.30 | | | | | (204) appear(an_organisation, all_20_4) = all_96_3 % 41.55/6.30 | | | | | (205) number_of_organizations(all_20_4, all_41_5) = all_96_1 % 42.04/6.30 | | | | | (206) ~ (all_96_2 = 0) | ~ (all_96_4 = 0) | all_96_0 = 0 % 42.04/6.30 | | | | | % 42.04/6.30 | | | | | DELTA: instantiating (164) with fresh symbols all_98_0, all_98_1, % 42.04/6.30 | | | | | all_98_2, all_98_3 gives: % 42.04/6.30 | | | | | (207) number_of_organizations(all_20_4, all_20_3) = all_98_1 & % 42.04/6.30 | | | | | environment(all_20_4) = all_98_3 & % 42.04/6.30 | | | | | cardinality_at_time(first_movers, all_20_3) = all_98_0 & % 42.04/6.30 | | | | | in_environment(all_20_4, all_20_3) = all_98_2 & $i(all_98_0) % 42.04/6.30 | | | | | & $i(all_98_1) & ( ~ (all_98_1 = zero) | ~ (all_98_2 = 0) | % 42.04/6.30 | | | | | ~ (all_98_3 = 0) | all_98_0 = zero) % 42.04/6.30 | | | | | % 42.04/6.30 | | | | | ALPHA: (207) implies: % 42.04/6.30 | | | | | (208) environment(all_20_4) = all_98_3 % 42.04/6.30 | | | | | % 42.04/6.30 | | | | | DELTA: instantiating (163) with fresh symbols all_100_0, all_100_1, % 42.04/6.30 | | | | | all_100_2, all_100_3, all_100_4 gives: % 42.04/6.30 | | | | | (209) appear(an_organisation, all_20_4) = all_100_2 & % 42.04/6.30 | | | | | greater_or_equal(all_20_3, all_100_2) = all_100_1 & % 42.04/6.30 | | | | | environment(all_20_4) = all_100_4 & in_environment(all_20_4, % 42.04/6.30 | | | | | all_20_3) = all_100_3 & greater(all_33_0, zero) = all_100_0 % 42.04/6.30 | | | | | & $i(all_100_2) & ( ~ (all_100_1 = 0) | ~ (all_100_3 = 0) | % 42.04/6.30 | | | | | ~ (all_100_4 = 0) | all_100_0 = 0) % 42.04/6.30 | | | | | % 42.04/6.30 | | | | | ALPHA: (209) implies: % 42.04/6.30 | | | | | (210) environment(all_20_4) = all_100_4 % 42.04/6.30 | | | | | (211) appear(an_organisation, all_20_4) = all_100_2 % 42.04/6.30 | | | | | % 42.04/6.30 | | | | | DELTA: instantiating (167) with fresh symbols all_102_0, all_102_1, % 42.04/6.30 | | | | | all_102_2, all_102_3, all_102_4, all_102_5, all_102_6 gives: % 42.04/6.30 | | | | | (212) constant(all_102_3) = all_102_0 & constant(all_39_5) = % 42.04/6.30 | | | | | all_102_1 & decreases(all_102_3) = all_102_2 & % 42.04/6.30 | | | | | decreases(all_39_5) = all_102_4 & % 42.04/6.30 | | | | | number_of_organizations(all_20_4, all_20_3) = all_102_3 & % 42.04/6.30 | | | | | environment(all_20_4) = all_102_6 & in_environment(all_20_4, % 42.04/6.30 | | | | | all_20_3) = all_102_5 & $i(all_102_3) & ( ~ (all_102_5 = 0) % 42.04/6.30 | | | | | | ~ (all_102_6 = 0) | (( ~ (all_102_1 = 0) | all_102_0 = % 42.04/6.30 | | | | | 0) & ( ~ (all_102_2 = 0) | ~ (all_102_4 = 0)))) % 42.04/6.30 | | | | | % 42.04/6.30 | | | | | ALPHA: (212) implies: % 42.04/6.30 | | | | | (213) environment(all_20_4) = all_102_6 % 42.04/6.30 | | | | | % 42.04/6.30 | | | | | DELTA: instantiating (155) with fresh symbols all_104_0, all_104_1, % 42.04/6.30 | | | | | all_104_2, all_104_3, all_104_4, all_104_5, all_104_6 gives: % 42.04/6.30 | | | | | (214) resources(all_20_4, all_41_5) = all_104_5 & % 42.04/6.30 | | | | | constant(all_104_3) = all_104_0 & constant(all_104_5) = % 42.04/6.30 | | | | | all_104_1 & decreases(all_104_3) = all_104_2 & % 42.04/6.30 | | | | | decreases(all_104_5) = all_104_4 & % 42.04/6.30 | | | | | number_of_organizations(all_20_4, all_41_5) = all_104_3 & % 42.04/6.30 | | | | | environment(all_20_4) = all_104_6 & $i(all_104_3) & % 42.04/6.30 | | | | | $i(all_104_5) & ( ~ (all_104_6 = 0) | (( ~ (all_104_1 = 0) | % 42.04/6.30 | | | | | all_104_0 = 0) & ( ~ (all_104_2 = 0) | ~ (all_104_4 = % 42.04/6.30 | | | | | 0)))) % 42.04/6.30 | | | | | % 42.04/6.30 | | | | | ALPHA: (214) implies: % 42.04/6.30 | | | | | (215) environment(all_20_4) = all_104_6 % 42.04/6.30 | | | | | (216) number_of_organizations(all_20_4, all_41_5) = all_104_3 % 42.04/6.30 | | | | | (217) decreases(all_104_5) = all_104_4 % 42.04/6.30 | | | | | (218) decreases(all_104_3) = all_104_2 % 42.04/6.30 | | | | | (219) constant(all_104_5) = all_104_1 % 42.04/6.30 | | | | | (220) constant(all_104_3) = all_104_0 % 42.04/6.30 | | | | | (221) resources(all_20_4, all_41_5) = all_104_5 % 42.04/6.30 | | | | | % 42.04/6.30 | | | | | DELTA: instantiating (162) with fresh symbols all_106_0, all_106_1, % 42.04/6.30 | | | | | all_106_2, all_106_3, all_106_4, all_106_5, all_106_6 gives: % 42.04/6.30 | | | | | (222) resources(all_20_4, all_20_3) = all_106_4 & % 42.04/6.30 | | | | | constant(all_106_4) = all_106_1 & constant(all_33_0) = % 42.04/6.30 | | | | | all_106_0 & decreases(all_106_4) = all_106_3 & % 42.04/6.30 | | | | | decreases(all_33_0) = all_106_2 & environment(all_20_4) = % 42.04/6.30 | | | | | all_106_6 & in_environment(all_20_4, all_20_3) = all_106_5 & % 42.04/6.30 | | | | | $i(all_106_4) & ( ~ (all_106_5 = 0) | ~ (all_106_6 = 0) | (( % 42.04/6.30 | | | | | ~ (all_106_1 = 0) | all_106_0 = 0) & ( ~ (all_106_2 = % 42.04/6.30 | | | | | 0) | ~ (all_106_3 = 0)))) % 42.04/6.30 | | | | | % 42.04/6.30 | | | | | ALPHA: (222) implies: % 42.04/6.30 | | | | | (223) environment(all_20_4) = all_106_6 % 42.04/6.30 | | | | | % 42.04/6.30 | | | | | DELTA: instantiating (165) with fresh symbols all_108_0, all_108_1, % 42.04/6.30 | | | | | all_108_2, all_108_3, all_108_4, all_108_5, all_108_6 gives: % 42.04/6.30 | | | | | (224) resources(all_20_4, all_20_3) = all_108_2 & % 42.04/6.30 | | | | | constant(all_108_2) = all_108_0 & decreases(all_108_2) = % 42.04/6.30 | | | | | all_108_1 & number_of_organizations(all_20_4, all_20_3) = % 42.04/6.30 | | | | | all_108_4 & environment(all_20_4) = all_108_6 & % 42.04/6.30 | | | | | in_environment(all_20_4, all_20_3) = all_108_5 & % 42.04/6.30 | | | | | greater(all_108_4, zero) = all_108_3 & $i(all_108_2) & % 42.04/6.30 | | | | | $i(all_108_4) & ( ~ (all_108_3 = 0) | ~ (all_108_5 = 0) | ~ % 42.04/6.30 | | | | | (all_108_6 = 0) | (( ~ (all_43_3 = 0) | all_108_1 = 0) & % 42.04/6.30 | | | | | (all_108_0 = 0 | all_43_3 = 0))) % 42.04/6.30 | | | | | % 42.04/6.30 | | | | | ALPHA: (224) implies: % 42.04/6.30 | | | | | (225) environment(all_20_4) = all_108_6 % 42.04/6.30 | | | | | % 42.04/6.30 | | | | | DELTA: instantiating (166) with fresh symbols all_110_0, all_110_1, % 42.04/6.30 | | | | | all_110_2, all_110_3, all_110_4, all_110_5, all_110_6, % 42.04/6.30 | | | | | all_110_7 gives: % 42.04/6.30 | | | | | (226) equilibrium(all_20_4) = all_110_3 & constant(all_39_5) = % 42.04/6.30 | | | | | all_110_0 & decreases(all_39_5) = all_110_1 & % 42.04/6.30 | | | | | number_of_organizations(all_20_4, all_20_3) = all_110_5 & % 42.04/6.30 | | | | | environment(all_20_4) = all_110_7 & in_environment(all_20_4, % 42.04/6.30 | | | | | all_20_3) = all_110_6 & greater(all_110_3, all_20_3) = % 42.04/6.31 | | | | | all_110_2 & greater(all_110_5, zero) = all_110_4 & % 42.04/6.31 | | | | | $i(all_110_3) & $i(all_110_5) & ( ~ (all_110_4 = 0) | ~ % 42.04/6.31 | | | | | (all_110_6 = 0) | ~ (all_110_7 = 0) | (( ~ (all_110_2 = 0) % 42.04/6.31 | | | | | | all_110_1 = 0) & (all_110_0 = 0 | all_110_2 = 0))) % 42.04/6.31 | | | | | % 42.04/6.31 | | | | | ALPHA: (226) implies: % 42.04/6.31 | | | | | (227) environment(all_20_4) = all_110_7 % 42.04/6.31 | | | | | (228) equilibrium(all_20_4) = all_110_3 % 42.04/6.31 | | | | | % 42.04/6.31 | | | | | DELTA: instantiating (154) with fresh symbols all_112_0, all_112_1, % 42.04/6.31 | | | | | all_112_2, all_112_3, all_112_4, all_112_5, all_112_6, % 42.04/6.31 | | | | | all_112_7 gives: % 42.04/6.31 | | | | | (229) resources(all_20_4, all_41_5) = all_112_2 & % 42.04/6.31 | | | | | equilibrium(all_20_4) = all_112_4 & constant(all_112_2) = % 42.04/6.31 | | | | | all_112_0 & decreases(all_112_2) = all_112_1 & % 42.04/6.31 | | | | | number_of_organizations(all_20_4, all_41_5) = all_112_6 & % 42.04/6.31 | | | | | environment(all_20_4) = all_112_7 & greater(all_112_4, % 42.04/6.31 | | | | | all_41_5) = all_112_3 & greater(all_112_6, zero) = % 42.04/6.31 | | | | | all_112_5 & $i(all_112_2) & $i(all_112_4) & $i(all_112_6) & ( % 42.04/6.31 | | | | | ~ (all_112_5 = 0) | ~ (all_112_7 = 0) | (( ~ (all_112_3 = % 42.04/6.31 | | | | | 0) | all_112_1 = 0) & (all_112_0 = 0 | all_112_3 = % 42.04/6.31 | | | | | 0))) % 42.04/6.31 | | | | | % 42.04/6.31 | | | | | ALPHA: (229) implies: % 42.04/6.31 | | | | | (230) greater(all_112_6, zero) = all_112_5 % 42.04/6.31 | | | | | (231) greater(all_112_4, all_41_5) = all_112_3 % 42.04/6.31 | | | | | (232) environment(all_20_4) = all_112_7 % 42.04/6.31 | | | | | (233) number_of_organizations(all_20_4, all_41_5) = all_112_6 % 42.04/6.31 | | | | | (234) decreases(all_112_2) = all_112_1 % 42.04/6.31 | | | | | (235) constant(all_112_2) = all_112_0 % 42.04/6.31 | | | | | (236) equilibrium(all_20_4) = all_112_4 % 42.04/6.31 | | | | | (237) resources(all_20_4, all_41_5) = all_112_2 % 42.04/6.31 | | | | | (238) ~ (all_112_5 = 0) | ~ (all_112_7 = 0) | (( ~ (all_112_3 = % 42.04/6.31 | | | | | 0) | all_112_1 = 0) & (all_112_0 = 0 | all_112_3 = 0)) % 42.04/6.31 | | | | | % 42.04/6.31 | | | | | DELTA: instantiating (153) with fresh symbols all_114_0, all_114_1, % 42.04/6.31 | | | | | all_114_2, all_114_3, all_114_4, all_114_5, all_114_6, % 42.04/6.31 | | | | | all_114_7, all_114_8 gives: % 42.04/6.31 | | | | | (239) $i(all_114_5) & ((all_114_2 = 0 & all_114_4 = 0 & ~ % 42.04/6.31 | | | | | (all_114_0 = 0) & subpopulation(all_114_5, all_20_4, % 42.04/6.31 | | | | | all_41_5) = 0 & cardinality_at_time(all_114_5, % 42.04/6.31 | | | | | all_41_5) = all_114_3 & growth_rate(all_114_5, % 42.04/6.31 | | | | | all_41_5) = all_114_1 & greater(all_114_3, zero) = 0 & % 42.04/6.31 | | | | | greater(zero, all_114_1) = all_114_0 & $i(all_114_1) & % 42.04/6.31 | | | | | $i(all_114_3)) | (decreases(all_114_7) = all_114_6 & % 42.04/6.31 | | | | | number_of_organizations(all_20_4, all_41_5) = all_114_7 & % 42.04/6.31 | | | | | environment(all_20_4) = all_114_8 & $i(all_114_7) & ( ~ % 42.04/6.31 | | | | | (all_114_8 = 0) | all_114_6 = 0))) % 42.04/6.31 | | | | | % 42.04/6.31 | | | | | ALPHA: (239) implies: % 42.04/6.31 | | | | | (240) $i(all_114_5) % 42.04/6.31 | | | | | (241) (all_114_2 = 0 & all_114_4 = 0 & ~ (all_114_0 = 0) & % 42.04/6.31 | | | | | subpopulation(all_114_5, all_20_4, all_41_5) = 0 & % 42.04/6.31 | | | | | cardinality_at_time(all_114_5, all_41_5) = all_114_3 & % 42.04/6.31 | | | | | growth_rate(all_114_5, all_41_5) = all_114_1 & % 42.04/6.31 | | | | | greater(all_114_3, zero) = 0 & greater(zero, all_114_1) = % 42.04/6.31 | | | | | all_114_0 & $i(all_114_1) & $i(all_114_3)) | % 42.04/6.31 | | | | | (decreases(all_114_7) = all_114_6 & % 42.04/6.31 | | | | | number_of_organizations(all_20_4, all_41_5) = all_114_7 & % 42.04/6.31 | | | | | environment(all_20_4) = all_114_8 & $i(all_114_7) & ( ~ % 42.04/6.31 | | | | | (all_114_8 = 0) | all_114_6 = 0)) % 42.04/6.31 | | | | | % 42.04/6.31 | | | | | DELTA: instantiating (161) with fresh symbols all_116_0, all_116_1, % 42.04/6.31 | | | | | all_116_2, all_116_3, all_116_4, all_116_5, all_116_6, % 42.04/6.31 | | | | | all_116_7 gives: % 42.04/6.31 | | | | | (242) resources(all_20_4, all_20_3) = all_116_2 & % 42.04/6.31 | | | | | equilibrium(all_20_4) = all_116_4 & constant(all_116_2) = % 42.04/6.31 | | | | | all_116_0 & decreases(all_116_2) = all_116_1 & % 42.04/6.31 | | | | | environment(all_20_4) = all_116_7 & in_environment(all_20_4, % 42.04/6.31 | | | | | all_20_3) = all_116_6 & greater(all_116_4, all_20_3) = % 42.04/6.31 | | | | | all_116_3 & greater(all_33_0, zero) = all_116_5 & % 42.04/6.31 | | | | | $i(all_116_2) & $i(all_116_4) & ( ~ (all_116_5 = 0) | ~ % 42.04/6.31 | | | | | (all_116_6 = 0) | ~ (all_116_7 = 0) | (( ~ (all_116_3 = 0) % 42.04/6.31 | | | | | | all_116_1 = 0) & (all_116_0 = 0 | all_116_3 = 0))) % 42.04/6.31 | | | | | % 42.04/6.31 | | | | | ALPHA: (242) implies: % 42.04/6.31 | | | | | (243) environment(all_20_4) = all_116_7 % 42.04/6.31 | | | | | (244) equilibrium(all_20_4) = all_116_4 % 42.04/6.31 | | | | | % 42.04/6.31 | | | | | GROUND_INST: instantiating (31) with 0, all_80_0, all_41_1, zero, % 42.04/6.31 | | | | | simplifying with (147), (169) gives: % 42.04/6.31 | | | | | (245) all_80_0 = 0 % 42.04/6.31 | | | | | % 42.04/6.31 | | | | | GROUND_INST: instantiating (32) with all_41_1, all_94_1, all_41_5, % 42.04/6.31 | | | | | efficient_producers, simplifying with (148), (197) gives: % 42.04/6.31 | | | | | (246) all_94_1 = all_41_1 % 42.04/6.31 | | | | | % 42.04/6.31 | | | | | GROUND_INST: instantiating (32) with all_84_1, all_94_3, all_41_5, % 42.04/6.31 | | | | | first_movers, simplifying with (172), (198) gives: % 42.04/6.31 | | | | | (247) all_94_3 = all_84_1 % 42.04/6.31 | | | | | % 42.04/6.31 | | | | | GROUND_INST: instantiating (33) with 0, all_84_2, all_41_5, all_20_4, % 42.04/6.31 | | | | | simplifying with (149), (173) gives: % 42.04/6.31 | | | | | (248) all_84_2 = 0 % 42.04/6.31 | | | | | % 42.04/6.31 | | | | | GROUND_INST: instantiating (27) with 0, all_88_2, all_20_4, % 42.04/6.31 | | | | | simplifying with (50), (181) gives: % 42.04/6.31 | | | | | (249) all_88_2 = 0 % 42.04/6.31 | | | | | % 42.04/6.31 | | | | | GROUND_INST: instantiating (27) with all_88_2, all_90_3, all_20_4, % 42.04/6.31 | | | | | simplifying with (181), (184) gives: % 42.04/6.31 | | | | | (250) all_90_3 = all_88_2 % 42.04/6.31 | | | | | % 42.04/6.31 | | | | | GROUND_INST: instantiating (27) with all_90_3, all_92_3, all_20_4, % 42.04/6.31 | | | | | simplifying with (184), (190) gives: % 42.04/6.31 | | | | | (251) all_92_3 = all_90_3 % 42.04/6.31 | | | | | % 42.04/6.31 | | | | | GROUND_INST: instantiating (27) with all_92_3, all_94_4, all_20_4, % 42.04/6.31 | | | | | simplifying with (190), (199) gives: % 42.04/6.31 | | | | | (252) all_94_4 = all_92_3 % 42.04/6.31 | | | | | % 42.04/6.31 | | | | | GROUND_INST: instantiating (27) with all_102_6, all_106_6, all_20_4, % 42.04/6.31 | | | | | simplifying with (213), (223) gives: % 42.04/6.31 | | | | | (253) all_106_6 = all_102_6 % 42.04/6.31 | | | | | % 42.04/6.31 | | | | | GROUND_INST: instantiating (27) with all_98_3, all_106_6, all_20_4, % 42.04/6.31 | | | | | simplifying with (208), (223) gives: % 42.04/6.31 | | | | | (254) all_106_6 = all_98_3 % 42.04/6.31 | | | | | % 42.04/6.31 | | | | | GROUND_INST: instantiating (27) with all_96_4, all_106_6, all_20_4, % 42.04/6.31 | | | | | simplifying with (202), (223) gives: % 42.04/6.31 | | | | | (255) all_106_6 = all_96_4 % 42.04/6.31 | | | | | % 42.04/6.31 | | | | | GROUND_INST: instantiating (27) with all_94_4, all_106_6, all_20_4, % 42.04/6.31 | | | | | simplifying with (199), (223) gives: % 42.04/6.32 | | | | | (256) all_106_6 = all_94_4 % 42.04/6.32 | | | | | % 42.04/6.32 | | | | | GROUND_INST: instantiating (27) with all_98_3, all_108_6, all_20_4, % 42.04/6.32 | | | | | simplifying with (208), (225) gives: % 42.04/6.32 | | | | | (257) all_108_6 = all_98_3 % 42.04/6.32 | | | | | % 42.04/6.32 | | | | | GROUND_INST: instantiating (27) with all_86_2, all_108_6, all_20_4, % 42.04/6.32 | | | | | simplifying with (176), (225) gives: % 42.04/6.32 | | | | | (258) all_108_6 = all_86_2 % 42.04/6.32 | | | | | % 42.04/6.32 | | | | | GROUND_INST: instantiating (27) with all_110_7, all_112_7, all_20_4, % 42.04/6.32 | | | | | simplifying with (227), (232) gives: % 42.04/6.32 | | | | | (259) all_112_7 = all_110_7 % 42.04/6.32 | | | | | % 42.04/6.32 | | | | | GROUND_INST: instantiating (27) with all_106_6, all_112_7, all_20_4, % 42.04/6.32 | | | | | simplifying with (223), (232) gives: % 42.04/6.32 | | | | | (260) all_112_7 = all_106_6 % 42.04/6.32 | | | | | % 42.04/6.32 | | | | | GROUND_INST: instantiating (27) with all_104_6, all_112_7, all_20_4, % 42.04/6.32 | | | | | simplifying with (215), (232) gives: % 42.04/6.32 | | | | | (261) all_112_7 = all_104_6 % 42.04/6.32 | | | | | % 42.04/6.32 | | | | | GROUND_INST: instantiating (27) with all_110_7, all_116_7, all_20_4, % 42.04/6.32 | | | | | simplifying with (227), (243) gives: % 42.04/6.32 | | | | | (262) all_116_7 = all_110_7 % 42.04/6.32 | | | | | % 42.04/6.32 | | | | | GROUND_INST: instantiating (27) with all_100_4, all_116_7, all_20_4, % 42.04/6.32 | | | | | simplifying with (210), (243) gives: % 42.04/6.32 | | | | | (263) all_116_7 = all_100_4 % 42.04/6.32 | | | | | % 42.04/6.32 | | | | | GROUND_INST: instantiating (36) with all_31_2, all_92_2, all_20_4, % 42.04/6.32 | | | | | an_organisation, simplifying with (73), (191) gives: % 42.04/6.32 | | | | | (264) all_92_2 = all_31_2 % 42.04/6.32 | | | | | % 42.04/6.32 | | | | | GROUND_INST: instantiating (36) with all_96_3, all_100_2, all_20_4, % 42.04/6.32 | | | | | an_organisation, simplifying with (204), (211) gives: % 42.04/6.32 | | | | | (265) all_100_2 = all_96_3 % 42.04/6.32 | | | | | % 42.04/6.32 | | | | | GROUND_INST: instantiating (36) with all_92_2, all_100_2, all_20_4, % 42.04/6.32 | | | | | an_organisation, simplifying with (191), (211) gives: % 42.04/6.32 | | | | | (266) all_100_2 = all_92_2 % 42.04/6.32 | | | | | % 42.04/6.32 | | | | | GROUND_INST: instantiating (36) with all_90_2, all_100_2, all_20_4, % 42.04/6.32 | | | | | an_organisation, simplifying with (186), (211) gives: % 42.04/6.32 | | | | | (267) all_100_2 = all_90_2 % 42.04/6.32 | | | | | % 42.04/6.32 | | | | | GROUND_INST: instantiating (37) with all_92_0, all_104_3, all_41_5, % 42.04/6.32 | | | | | all_20_4, simplifying with (192), (216) gives: % 42.04/6.32 | | | | | (268) all_104_3 = all_92_0 % 42.04/6.32 | | | | | % 42.04/6.32 | | | | | GROUND_INST: instantiating (37) with all_104_3, all_112_6, all_41_5, % 42.04/6.32 | | | | | all_20_4, simplifying with (216), (233) gives: % 42.04/6.32 | | | | | (269) all_112_6 = all_104_3 % 42.04/6.32 | | | | | % 42.04/6.32 | | | | | GROUND_INST: instantiating (37) with all_96_1, all_112_6, all_41_5, % 42.04/6.32 | | | | | all_20_4, simplifying with (205), (233) gives: % 42.04/6.32 | | | | | (270) all_112_6 = all_96_1 % 42.04/6.32 | | | | | % 42.04/6.32 | | | | | GROUND_INST: instantiating (30) with all_43_4, all_116_4, all_20_4, % 42.04/6.32 | | | | | simplifying with (95), (244) gives: % 42.04/6.32 | | | | | (271) all_116_4 = all_43_4 % 42.04/6.32 | | | | | % 42.04/6.32 | | | | | GROUND_INST: instantiating (30) with all_112_4, all_116_4, all_20_4, % 42.04/6.32 | | | | | simplifying with (236), (244) gives: % 42.04/6.32 | | | | | (272) all_116_4 = all_112_4 % 42.04/6.32 | | | | | % 42.04/6.32 | | | | | GROUND_INST: instantiating (30) with all_110_3, all_116_4, all_20_4, % 42.04/6.32 | | | | | simplifying with (228), (244) gives: % 42.04/6.32 | | | | | (273) all_116_4 = all_110_3 % 42.04/6.32 | | | | | % 42.04/6.32 | | | | | GROUND_INST: instantiating (38) with all_104_5, all_112_2, all_41_5, % 42.04/6.32 | | | | | all_20_4, simplifying with (221), (237) gives: % 42.04/6.32 | | | | | (274) all_112_2 = all_104_5 % 42.04/6.32 | | | | | % 42.04/6.32 | | | | | COMBINE_EQS: (271), (272) imply: % 42.04/6.32 | | | | | (275) all_112_4 = all_43_4 % 42.04/6.32 | | | | | % 42.04/6.32 | | | | | COMBINE_EQS: (272), (273) imply: % 42.04/6.32 | | | | | (276) all_112_4 = all_110_3 % 42.04/6.32 | | | | | % 42.04/6.32 | | | | | COMBINE_EQS: (262), (263) imply: % 42.04/6.32 | | | | | (277) all_110_7 = all_100_4 % 42.04/6.32 | | | | | % 42.04/6.32 | | | | | SIMP: (277) implies: % 42.04/6.32 | | | | | (278) all_110_7 = all_100_4 % 42.04/6.32 | | | | | % 42.04/6.32 | | | | | COMBINE_EQS: (275), (276) imply: % 42.04/6.32 | | | | | (279) all_110_3 = all_43_4 % 42.04/6.32 | | | | | % 42.04/6.32 | | | | | SIMP: (279) implies: % 42.04/6.32 | | | | | (280) all_110_3 = all_43_4 % 42.04/6.32 | | | | | % 42.04/6.32 | | | | | COMBINE_EQS: (269), (270) imply: % 42.04/6.32 | | | | | (281) all_104_3 = all_96_1 % 42.04/6.32 | | | | | % 42.04/6.32 | | | | | SIMP: (281) implies: % 42.04/6.32 | | | | | (282) all_104_3 = all_96_1 % 42.04/6.32 | | | | | % 42.04/6.32 | | | | | COMBINE_EQS: (260), (261) imply: % 42.04/6.32 | | | | | (283) all_106_6 = all_104_6 % 42.04/6.32 | | | | | % 42.04/6.32 | | | | | SIMP: (283) implies: % 42.04/6.32 | | | | | (284) all_106_6 = all_104_6 % 42.04/6.32 | | | | | % 42.04/6.32 | | | | | COMBINE_EQS: (259), (261) imply: % 42.04/6.32 | | | | | (285) all_110_7 = all_104_6 % 42.04/6.32 | | | | | % 42.04/6.32 | | | | | SIMP: (285) implies: % 42.04/6.32 | | | | | (286) all_110_7 = all_104_6 % 42.04/6.32 | | | | | % 42.04/6.32 | | | | | COMBINE_EQS: (278), (286) imply: % 42.04/6.32 | | | | | (287) all_104_6 = all_100_4 % 42.04/6.32 | | | | | % 42.04/6.32 | | | | | SIMP: (287) implies: % 42.04/6.32 | | | | | (288) all_104_6 = all_100_4 % 42.04/6.32 | | | | | % 42.04/6.32 | | | | | COMBINE_EQS: (257), (258) imply: % 42.04/6.32 | | | | | (289) all_98_3 = all_86_2 % 42.04/6.32 | | | | | % 42.04/6.32 | | | | | SIMP: (289) implies: % 42.04/6.32 | | | | | (290) all_98_3 = all_86_2 % 42.04/6.32 | | | | | % 42.04/6.32 | | | | | COMBINE_EQS: (253), (255) imply: % 42.04/6.32 | | | | | (291) all_102_6 = all_96_4 % 42.04/6.32 | | | | | % 42.04/6.32 | | | | | COMBINE_EQS: (253), (256) imply: % 42.04/6.32 | | | | | (292) all_102_6 = all_94_4 % 42.04/6.32 | | | | | % 42.04/6.32 | | | | | COMBINE_EQS: (253), (254) imply: % 42.04/6.32 | | | | | (293) all_102_6 = all_98_3 % 42.04/6.32 | | | | | % 42.04/6.32 | | | | | COMBINE_EQS: (253), (284) imply: % 42.04/6.32 | | | | | (294) all_104_6 = all_102_6 % 42.04/6.32 | | | | | % 42.04/6.32 | | | | | SIMP: (294) implies: % 42.04/6.32 | | | | | (295) all_104_6 = all_102_6 % 42.04/6.32 | | | | | % 42.04/6.32 | | | | | COMBINE_EQS: (268), (282) imply: % 42.04/6.32 | | | | | (296) all_96_1 = all_92_0 % 42.04/6.32 | | | | | % 42.04/6.32 | | | | | COMBINE_EQS: (288), (295) imply: % 42.04/6.32 | | | | | (297) all_102_6 = all_100_4 % 42.04/6.32 | | | | | % 42.04/6.32 | | | | | SIMP: (297) implies: % 42.04/6.32 | | | | | (298) all_102_6 = all_100_4 % 42.04/6.32 | | | | | % 42.04/6.32 | | | | | COMBINE_EQS: (291), (298) imply: % 42.04/6.32 | | | | | (299) all_100_4 = all_96_4 % 42.04/6.32 | | | | | % 42.04/6.32 | | | | | COMBINE_EQS: (292), (298) imply: % 42.04/6.32 | | | | | (300) all_100_4 = all_94_4 % 42.04/6.32 | | | | | % 42.04/6.32 | | | | | COMBINE_EQS: (293), (298) imply: % 42.04/6.32 | | | | | (301) all_100_4 = all_98_3 % 42.04/6.32 | | | | | % 42.04/6.32 | | | | | COMBINE_EQS: (265), (267) imply: % 42.04/6.33 | | | | | (302) all_96_3 = all_90_2 % 42.04/6.33 | | | | | % 42.04/6.33 | | | | | COMBINE_EQS: (265), (266) imply: % 42.04/6.33 | | | | | (303) all_96_3 = all_92_2 % 42.04/6.33 | | | | | % 42.04/6.33 | | | | | COMBINE_EQS: (299), (300) imply: % 42.04/6.33 | | | | | (304) all_96_4 = all_94_4 % 42.04/6.33 | | | | | % 42.04/6.33 | | | | | COMBINE_EQS: (299), (301) imply: % 42.04/6.33 | | | | | (305) all_98_3 = all_96_4 % 42.04/6.33 | | | | | % 42.04/6.33 | | | | | SIMP: (305) implies: % 42.04/6.33 | | | | | (306) all_98_3 = all_96_4 % 42.04/6.33 | | | | | % 42.04/6.33 | | | | | COMBINE_EQS: (290), (306) imply: % 42.04/6.33 | | | | | (307) all_96_4 = all_86_2 % 42.04/6.33 | | | | | % 42.04/6.33 | | | | | SIMP: (307) implies: % 42.04/6.33 | | | | | (308) all_96_4 = all_86_2 % 42.04/6.33 | | | | | % 42.04/6.33 | | | | | COMBINE_EQS: (302), (303) imply: % 42.04/6.33 | | | | | (309) all_92_2 = all_90_2 % 42.04/6.33 | | | | | % 42.04/6.33 | | | | | SIMP: (309) implies: % 42.04/6.33 | | | | | (310) all_92_2 = all_90_2 % 42.04/6.33 | | | | | % 42.04/6.33 | | | | | COMBINE_EQS: (304), (308) imply: % 42.04/6.33 | | | | | (311) all_94_4 = all_86_2 % 42.04/6.33 | | | | | % 42.04/6.33 | | | | | SIMP: (311) implies: % 42.04/6.33 | | | | | (312) all_94_4 = all_86_2 % 42.04/6.33 | | | | | % 42.04/6.33 | | | | | COMBINE_EQS: (252), (312) imply: % 42.04/6.33 | | | | | (313) all_92_3 = all_86_2 % 42.04/6.33 | | | | | % 42.04/6.33 | | | | | SIMP: (313) implies: % 42.04/6.33 | | | | | (314) all_92_3 = all_86_2 % 42.04/6.33 | | | | | % 42.04/6.33 | | | | | COMBINE_EQS: (264), (310) imply: % 42.04/6.33 | | | | | (315) all_90_2 = all_31_2 % 42.04/6.33 | | | | | % 42.04/6.33 | | | | | COMBINE_EQS: (251), (314) imply: % 42.04/6.33 | | | | | (316) all_90_3 = all_86_2 % 42.04/6.33 | | | | | % 42.04/6.33 | | | | | SIMP: (316) implies: % 42.04/6.33 | | | | | (317) all_90_3 = all_86_2 % 42.04/6.33 | | | | | % 42.04/6.33 | | | | | COMBINE_EQS: (250), (317) imply: % 42.04/6.33 | | | | | (318) all_88_2 = all_86_2 % 42.04/6.33 | | | | | % 42.04/6.33 | | | | | SIMP: (318) implies: % 42.04/6.33 | | | | | (319) all_88_2 = all_86_2 % 42.04/6.33 | | | | | % 42.04/6.33 | | | | | COMBINE_EQS: (249), (319) imply: % 42.04/6.33 | | | | | (320) all_86_2 = 0 % 42.04/6.33 | | | | | % 42.04/6.33 | | | | | COMBINE_EQS: (317), (320) imply: % 42.04/6.33 | | | | | (321) all_90_3 = 0 % 42.04/6.33 | | | | | % 42.04/6.33 | | | | | COMBINE_EQS: (314), (320) imply: % 42.04/6.33 | | | | | (322) all_92_3 = 0 % 42.04/6.33 | | | | | % 42.04/6.33 | | | | | COMBINE_EQS: (308), (320) imply: % 42.04/6.33 | | | | | (323) all_96_4 = 0 % 42.04/6.33 | | | | | % 42.04/6.33 | | | | | COMBINE_EQS: (302), (315) imply: % 42.04/6.33 | | | | | (324) all_96_3 = all_31_2 % 42.04/6.33 | | | | | % 42.04/6.33 | | | | | COMBINE_EQS: (299), (323) imply: % 42.04/6.33 | | | | | (325) all_100_4 = 0 % 42.04/6.33 | | | | | % 42.04/6.33 | | | | | COMBINE_EQS: (288), (325) imply: % 42.04/6.33 | | | | | (326) all_104_6 = 0 % 42.04/6.33 | | | | | % 42.04/6.33 | | | | | COMBINE_EQS: (261), (326) imply: % 42.04/6.33 | | | | | (327) all_112_7 = 0 % 42.04/6.33 | | | | | % 42.04/6.33 | | | | | COMBINE_EQS: (270), (296) imply: % 42.04/6.33 | | | | | (328) all_112_6 = all_92_0 % 42.04/6.33 | | | | | % 42.04/6.33 | | | | | REDUCE: (235), (274) imply: % 42.04/6.33 | | | | | (329) constant(all_104_5) = all_112_0 % 42.04/6.33 | | | | | % 42.04/6.33 | | | | | REDUCE: (220), (268) imply: % 42.04/6.33 | | | | | (330) constant(all_92_0) = all_104_0 % 42.04/6.33 | | | | | % 42.04/6.33 | | | | | REDUCE: (234), (274) imply: % 42.04/6.33 | | | | | (331) decreases(all_104_5) = all_112_1 % 42.04/6.33 | | | | | % 42.04/6.33 | | | | | REDUCE: (218), (268) imply: % 42.04/6.33 | | | | | (332) decreases(all_92_0) = all_104_2 % 42.04/6.33 | | | | | % 42.04/6.33 | | | | | REDUCE: (203), (324) imply: % 42.04/6.33 | | | | | (333) greater_or_equal(all_41_5, all_31_2) = all_96_2 % 42.04/6.33 | | | | | % 42.04/6.33 | | | | | REDUCE: (185), (315) imply: % 42.04/6.33 | | | | | (334) greater_or_equal(all_41_5, all_31_2) = all_90_1 % 42.04/6.33 | | | | | % 42.04/6.33 | | | | | REDUCE: (231), (275) imply: % 42.04/6.33 | | | | | (335) greater(all_43_4, all_41_5) = all_112_3 % 42.04/6.33 | | | | | % 42.04/6.33 | | | | | REDUCE: (230), (328) imply: % 42.04/6.33 | | | | | (336) greater(all_92_0, zero) = all_112_5 % 42.04/6.33 | | | | | % 42.04/6.33 | | | | | REDUCE: (201), (296) imply: % 42.04/6.33 | | | | | (337) greater(all_92_0, zero) = all_96_0 % 42.04/6.33 | | | | | % 42.04/6.33 | | | | | REDUCE: (189), (264) imply: % 42.04/6.33 | | | | | (338) greater(all_31_2, all_41_5) = all_92_1 % 42.04/6.33 | | | | | % 42.04/6.33 | | | | | REDUCE: (183), (315) imply: % 42.04/6.33 | | | | | (339) greater(all_31_2, all_41_5) = all_90_0 % 42.04/6.33 | | | | | % 42.04/6.33 | | | | | REDUCE: (196), (246) imply: % 42.04/6.33 | | | | | (340) greater(zero, all_41_1) = all_94_0 % 42.04/6.33 | | | | | % 42.04/6.33 | | | | | REDUCE: (195), (247) imply: % 42.04/6.33 | | | | | (341) greater(zero, all_84_1) = all_94_2 % 42.04/6.33 | | | | | % 42.04/6.33 | | | | | BETA: splitting (179) gives: % 42.04/6.33 | | | | | % 42.04/6.33 | | | | | Case 1: % 42.04/6.33 | | | | | | % 42.04/6.33 | | | | | | (342) ~ (all_86_2 = 0) % 42.04/6.33 | | | | | | % 42.04/6.33 | | | | | | REDUCE: (320), (342) imply: % 42.04/6.33 | | | | | | (343) $false % 42.04/6.33 | | | | | | % 42.04/6.33 | | | | | | CLOSE: (343) is inconsistent. % 42.04/6.33 | | | | | | % 42.04/6.33 | | | | | Case 2: % 42.04/6.33 | | | | | | % 42.04/6.33 | | | | | | (344) all_86_0 = 0 & all_86_1 = 0 % 42.04/6.33 | | | | | | % 42.04/6.33 | | | | | | ALPHA: (344) implies: % 42.04/6.33 | | | | | | (345) all_86_1 = 0 % 42.04/6.33 | | | | | | (346) all_86_0 = 0 % 42.04/6.33 | | | | | | % 42.04/6.33 | | | | | | REDUCE: (178), (345) imply: % 42.04/6.33 | | | | | | (347) subpopulation(first_movers, all_20_4, all_41_5) = 0 % 42.04/6.33 | | | | | | % 42.04/6.33 | | | | | | REDUCE: (177), (346) imply: % 42.04/6.33 | | | | | | (348) subpopulation(efficient_producers, all_20_4, all_41_5) = 0 % 42.04/6.33 | | | | | | % 42.04/6.33 | | | | | | BETA: splitting (174) gives: % 42.04/6.33 | | | | | | % 42.04/6.33 | | | | | | Case 1: % 42.04/6.33 | | | | | | | % 42.04/6.33 | | | | | | | (349) ~ (all_84_2 = 0) % 42.04/6.33 | | | | | | | % 42.04/6.33 | | | | | | | REDUCE: (248), (349) imply: % 42.04/6.33 | | | | | | | (350) $false % 42.04/6.33 | | | | | | | % 42.04/6.33 | | | | | | | CLOSE: (350) is inconsistent. % 42.04/6.33 | | | | | | | % 42.04/6.33 | | | | | | Case 2: % 42.04/6.33 | | | | | | | % 42.04/6.33 | | | | | | | (351) all_84_0 = 0 % 42.04/6.33 | | | | | | | % 42.04/6.33 | | | | | | | REDUCE: (171), (351) imply: % 42.04/6.33 | | | | | | | (352) greater(zero, all_84_1) = 0 % 42.04/6.33 | | | | | | | % 42.04/6.33 | | | | | | | GROUND_INST: instantiating (31) with 0, all_94_0, all_41_1, zero, % 42.04/6.33 | | | | | | | simplifying with (147), (340) gives: % 42.04/6.33 | | | | | | | (353) all_94_0 = 0 % 42.04/6.33 | | | | | | | % 42.04/6.33 | | | | | | | GROUND_INST: instantiating (31) with 0, all_94_2, all_84_1, zero, % 42.04/6.33 | | | | | | | simplifying with (341), (352) gives: % 42.04/6.34 | | | | | | | (354) all_94_2 = 0 % 42.04/6.34 | | | | | | | % 42.04/6.34 | | | | | | | GROUND_INST: instantiating (31) with all_90_0, all_92_1, all_41_5, % 42.04/6.34 | | | | | | | all_31_2, simplifying with (338), (339) gives: % 42.04/6.34 | | | | | | | (355) all_92_1 = all_90_0 % 42.04/6.34 | | | | | | | % 42.04/6.34 | | | | | | | GROUND_INST: instantiating (31) with all_96_0, all_112_5, zero, % 42.04/6.34 | | | | | | | all_92_0, simplifying with (336), (337) gives: % 42.04/6.34 | | | | | | | (356) all_112_5 = all_96_0 % 42.04/6.34 | | | | | | | % 42.04/6.34 | | | | | | | GROUND_INST: instantiating (35) with all_90_1, all_96_2, all_31_2, % 42.04/6.34 | | | | | | | all_41_5, simplifying with (333), (334) gives: % 42.04/6.34 | | | | | | | (357) all_96_2 = all_90_1 % 42.04/6.34 | | | | | | | % 42.04/6.34 | | | | | | | GROUND_INST: instantiating (28) with all_104_4, all_112_1, % 42.04/6.34 | | | | | | | all_104_5, simplifying with (217), (331) gives: % 42.04/6.34 | | | | | | | (358) all_112_1 = all_104_4 % 42.04/6.34 | | | | | | | % 42.04/6.34 | | | | | | | GROUND_INST: instantiating (29) with all_104_1, all_112_0, % 42.04/6.34 | | | | | | | all_104_5, simplifying with (219), (329) gives: % 42.04/6.34 | | | | | | | (359) all_112_0 = all_104_1 % 42.04/6.34 | | | | | | | % 42.04/6.34 | | | | | | | GROUND_INST: instantiating (14) with all_20_4, all_41_5, all_43_4, % 42.04/6.34 | | | | | | | all_112_3, simplifying with (45), (89), (95), (335) % 42.04/6.34 | | | | | | | gives: % 42.04/6.34 | | | | | | | (360) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] % 42.04/6.34 | | | | | | | : ? [v4: $i] : ? [v5: any] : ? [v6: any] : % 42.04/6.34 | | | | | | | (resources(all_20_4, all_41_5) = v4 & constant(v4) = v6 & % 42.04/6.34 | | | | | | | decreases(v4) = v5 & number_of_organizations(all_20_4, % 42.04/6.34 | | | | | | | all_41_5) = v2 & environment(all_20_4) = v0 & % 42.04/6.34 | | | | | | | in_environment(all_20_4, all_41_5) = v1 & greater(v2, % 42.04/6.34 | | | | | | | zero) = v3 & $i(v4) & $i(v2) & ( ~ (v3 = 0) | ~ (v1 % 42.04/6.34 | | | | | | | = 0) | ~ (v0 = 0) | (( ~ (all_112_3 = 0) | v5 = 0) % 42.04/6.34 | | | | | | | & (v6 = 0 | all_112_3 = 0)))) % 42.04/6.34 | | | | | | | % 42.04/6.34 | | | | | | | GROUND_INST: instantiating (6) with first_movers, all_41_5, % 42.04/6.34 | | | | | | | all_84_1, simplifying with (23), (89), (172) gives: % 42.04/6.34 | | | | | | | (361) ? [v0: $i] : ? [v1: any] : % 42.04/6.34 | | | | | | | (cardinality_at_time(first_movers, all_41_5) = v0 & % 42.04/6.34 | | | | | | | greater(zero, all_84_1) = v1 & $i(v0) & ( ~ (v1 = 0) | % 42.04/6.34 | | | | | | | ~ (v0 = zero))) % 42.04/6.34 | | | | | | | % 42.04/6.34 | | | | | | | GROUND_INST: instantiating (10) with all_20_4, all_41_5, all_31_2, % 42.04/6.34 | | | | | | | all_90_1, simplifying with (45), (73), (89), (334) % 42.04/6.34 | | | | | | | gives: % 42.04/6.34 | | | | | | | (362) all_90_1 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] % 42.04/6.34 | | | | | | | : (environment(all_20_4) = v0 & in_environment(all_20_4, % 42.04/6.34 | | | | | | | all_41_5) = v1 & greater(all_31_2, all_41_5) = v2 & ( % 42.04/6.34 | | | | | | | ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 42.04/6.34 | | | | | | | % 42.04/6.34 | | | | | | | GROUND_INST: instantiating (12) with all_20_4, all_41_5, all_92_0, % 42.04/6.34 | | | | | | | simplifying with (45), (89), (192) gives: % 42.04/6.34 | | | | | | | (363) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: $i] % 42.04/6.34 | | | | | | | : ? [v4: any] : ? [v5: $i] : ? [v6: any] : ? [v7: % 42.04/6.34 | | | | | | | any] : (resources(all_20_4, all_41_5) = v5 & % 42.04/6.34 | | | | | | | equilibrium(all_20_4) = v3 & constant(v5) = v7 & % 42.04/6.34 | | | | | | | decreases(v5) = v6 & environment(all_20_4) = v0 & % 42.04/6.34 | | | | | | | in_environment(all_20_4, all_41_5) = v1 & greater(v3, % 42.04/6.34 | | | | | | | all_41_5) = v4 & greater(all_92_0, zero) = v2 & % 42.04/6.34 | | | | | | | $i(v5) & $i(v3) & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = % 42.04/6.34 | | | | | | | 0) | (( ~ (v4 = 0) | v6 = 0) & (v7 = 0 | v4 = 0)))) % 42.04/6.34 | | | | | | | % 42.04/6.34 | | | | | | | GROUND_INST: instantiating (18) with all_20_4, all_41_5, all_92_0, % 42.04/6.34 | | | | | | | simplifying with (45), (89), (192) gives: % 42.04/6.34 | | | | | | | (364) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] % 42.04/6.34 | | | | | | | : ? [v4: any] : ? [v5: any] : ? [v6: any] : % 42.04/6.34 | | | | | | | (resources(all_20_4, all_41_5) = v2 & constant(v2) = v5 & % 42.04/6.34 | | | | | | | constant(all_92_0) = v6 & decreases(v2) = v3 & % 42.04/6.34 | | | | | | | decreases(all_92_0) = v4 & environment(all_20_4) = v0 & % 42.04/6.34 | | | | | | | in_environment(all_20_4, all_41_5) = v1 & $i(v2) & ( ~ % 42.04/6.34 | | | | | | | (v1 = 0) | ~ (v0 = 0) | (( ~ (v5 = 0) | v6 = 0) & ( % 42.04/6.34 | | | | | | | ~ (v4 = 0) | ~ (v3 = 0))))) % 42.04/6.34 | | | | | | | % 42.04/6.34 | | | | | | | GROUND_INST: instantiating (16) with all_20_4, all_41_5, all_92_0, % 42.04/6.34 | | | | | | | simplifying with (45), (89), (192) gives: % 42.04/6.34 | | | | | | | (365) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] % 42.04/6.34 | | | | | | | : ? [v4: any] : (appear(an_organisation, all_20_4) = v2 % 42.04/6.34 | | | | | | | & greater_or_equal(all_41_5, v2) = v3 & % 42.04/6.34 | | | | | | | environment(all_20_4) = v0 & in_environment(all_20_4, % 42.04/6.34 | | | | | | | all_41_5) = v1 & greater(all_92_0, zero) = v4 & % 42.04/6.34 | | | | | | | $i(v2) & ( ~ (v3 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 % 42.04/6.34 | | | | | | | = 0)) % 42.04/6.34 | | | | | | | % 42.04/6.34 | | | | | | | GROUND_INST: instantiating (4) with all_20_4, all_41_5, % 42.04/6.34 | | | | | | | efficient_producers, simplifying with (25), (45), % 42.04/6.34 | | | | | | | (89), (348) gives: % 42.04/6.34 | | | | | | | (366) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: $i] : % 42.04/6.34 | | | | | | | (number_of_organizations(all_20_4, all_41_5) = v2 & % 42.04/6.34 | | | | | | | environment(all_20_4) = v0 & % 42.04/6.34 | | | | | | | cardinality_at_time(efficient_producers, all_41_5) = v3 % 42.04/6.34 | | | | | | | & in_environment(all_20_4, all_41_5) = v1 & $i(v3) & % 42.04/6.34 | | | | | | | $i(v2) & ( ~ (v2 = zero) | ~ (v1 = 0) | ~ (v0 = 0) | % 42.04/6.34 | | | | | | | v3 = zero)) % 42.04/6.34 | | | | | | | % 42.04/6.34 | | | | | | | GROUND_INST: instantiating (4) with all_20_4, all_41_5, % 42.04/6.34 | | | | | | | first_movers, simplifying with (23), (45), (89), % 42.04/6.34 | | | | | | | (347) gives: % 42.04/6.34 | | | | | | | (367) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: $i] : % 42.04/6.34 | | | | | | | (number_of_organizations(all_20_4, all_41_5) = v2 & % 42.04/6.34 | | | | | | | environment(all_20_4) = v0 & % 42.04/6.34 | | | | | | | cardinality_at_time(first_movers, all_41_5) = v3 & % 42.04/6.34 | | | | | | | in_environment(all_20_4, all_41_5) = v1 & $i(v3) & % 42.04/6.34 | | | | | | | $i(v2) & ( ~ (v2 = zero) | ~ (v1 = 0) | ~ (v0 = 0) | % 42.04/6.34 | | | | | | | v3 = zero)) % 42.04/6.34 | | | | | | | % 42.04/6.34 | | | | | | | GROUND_INST: instantiating (13) with all_20_4, all_41_5, % 42.04/6.34 | | | | | | | all_104_5, simplifying with (45), (89), (221) gives: % 42.04/6.35 | | | | | | | (368) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] % 42.04/6.35 | | | | | | | : ? [v4: $i] : ? [v5: any] : ? [v6: any] : ? [v7: % 42.04/6.35 | | | | | | | any] : (equilibrium(all_20_4) = v4 & % 42.04/6.35 | | | | | | | constant(all_104_5) = v7 & decreases(all_104_5) = v6 & % 42.04/6.35 | | | | | | | number_of_organizations(all_20_4, all_41_5) = v2 & % 42.04/6.35 | | | | | | | environment(all_20_4) = v0 & in_environment(all_20_4, % 42.04/6.35 | | | | | | | all_41_5) = v1 & greater(v4, all_41_5) = v5 & % 42.04/6.35 | | | | | | | greater(v2, zero) = v3 & $i(v4) & $i(v2) & ( ~ (v3 = 0) % 42.04/6.35 | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0) | (( ~ (v5 = 0) | v6 = 0) % 42.04/6.35 | | | | | | | & (v7 = 0 | v5 = 0)))) % 42.04/6.35 | | | | | | | % 42.04/6.35 | | | | | | | GROUND_INST: instantiating (19) with all_20_4, all_41_5, % 42.04/6.35 | | | | | | | all_104_5, simplifying with (45), (89), (221) gives: % 42.04/6.35 | | | | | | | (369) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: $i] % 42.04/6.35 | | | | | | | : ? [v4: any] : ? [v5: any] : ? [v6: any] : % 42.04/6.35 | | | | | | | (constant(v3) = v6 & constant(all_104_5) = v5 & % 42.04/6.35 | | | | | | | decreases(v3) = v4 & decreases(all_104_5) = v2 & % 42.04/6.35 | | | | | | | number_of_organizations(all_20_4, all_41_5) = v3 & % 42.04/6.35 | | | | | | | environment(all_20_4) = v0 & in_environment(all_20_4, % 42.04/6.35 | | | | | | | all_41_5) = v1 & $i(v3) & ( ~ (v1 = 0) | ~ (v0 = 0) % 42.04/6.35 | | | | | | | | (( ~ (v5 = 0) | v6 = 0) & ( ~ (v4 = 0) | ~ (v2 = % 42.04/6.35 | | | | | | | 0))))) % 42.04/6.35 | | | | | | | % 42.04/6.35 | | | | | | | DELTA: instantiating (361) with fresh symbols all_157_0, all_157_1 % 42.04/6.35 | | | | | | | gives: % 42.04/6.35 | | | | | | | (370) cardinality_at_time(first_movers, all_41_5) = all_157_1 & % 42.04/6.35 | | | | | | | greater(zero, all_84_1) = all_157_0 & $i(all_157_1) & ( ~ % 42.04/6.35 | | | | | | | (all_157_0 = 0) | ~ (all_157_1 = zero)) % 42.04/6.35 | | | | | | | % 42.04/6.35 | | | | | | | ALPHA: (370) implies: % 42.04/6.35 | | | | | | | (371) greater(zero, all_84_1) = all_157_0 % 42.04/6.35 | | | | | | | (372) cardinality_at_time(first_movers, all_41_5) = all_157_1 % 42.04/6.35 | | | | | | | (373) ~ (all_157_0 = 0) | ~ (all_157_1 = zero) % 42.04/6.35 | | | | | | | % 42.04/6.35 | | | | | | | DELTA: instantiating (367) with fresh symbols all_159_0, % 42.04/6.35 | | | | | | | all_159_1, all_159_2, all_159_3 gives: % 42.04/6.35 | | | | | | | (374) number_of_organizations(all_20_4, all_41_5) = all_159_1 & % 42.04/6.35 | | | | | | | environment(all_20_4) = all_159_3 & % 42.04/6.35 | | | | | | | cardinality_at_time(first_movers, all_41_5) = all_159_0 & % 42.04/6.35 | | | | | | | in_environment(all_20_4, all_41_5) = all_159_2 & % 42.04/6.35 | | | | | | | $i(all_159_0) & $i(all_159_1) & ( ~ (all_159_1 = zero) | % 42.04/6.35 | | | | | | | ~ (all_159_2 = 0) | ~ (all_159_3 = 0) | all_159_0 = % 42.04/6.35 | | | | | | | zero) % 42.04/6.35 | | | | | | | % 42.04/6.35 | | | | | | | ALPHA: (374) implies: % 42.04/6.35 | | | | | | | (375) in_environment(all_20_4, all_41_5) = all_159_2 % 42.04/6.35 | | | | | | | (376) cardinality_at_time(first_movers, all_41_5) = all_159_0 % 42.04/6.35 | | | | | | | (377) environment(all_20_4) = all_159_3 % 42.04/6.35 | | | | | | | (378) number_of_organizations(all_20_4, all_41_5) = all_159_1 % 42.04/6.35 | | | | | | | (379) ~ (all_159_1 = zero) | ~ (all_159_2 = 0) | ~ % 42.04/6.35 | | | | | | | (all_159_3 = 0) | all_159_0 = zero % 42.04/6.35 | | | | | | | % 42.04/6.35 | | | | | | | DELTA: instantiating (366) with fresh symbols all_161_0, % 42.04/6.35 | | | | | | | all_161_1, all_161_2, all_161_3 gives: % 42.04/6.35 | | | | | | | (380) number_of_organizations(all_20_4, all_41_5) = all_161_1 & % 42.04/6.35 | | | | | | | environment(all_20_4) = all_161_3 & % 42.04/6.35 | | | | | | | cardinality_at_time(efficient_producers, all_41_5) = % 42.04/6.35 | | | | | | | all_161_0 & in_environment(all_20_4, all_41_5) = % 42.04/6.35 | | | | | | | all_161_2 & $i(all_161_0) & $i(all_161_1) & ( ~ % 42.04/6.35 | | | | | | | (all_161_1 = zero) | ~ (all_161_2 = 0) | ~ (all_161_3 % 42.04/6.35 | | | | | | | = 0) | all_161_0 = zero) % 42.04/6.35 | | | | | | | % 42.04/6.35 | | | | | | | ALPHA: (380) implies: % 42.04/6.35 | | | | | | | (381) in_environment(all_20_4, all_41_5) = all_161_2 % 42.04/6.35 | | | | | | | (382) environment(all_20_4) = all_161_3 % 42.04/6.35 | | | | | | | (383) number_of_organizations(all_20_4, all_41_5) = all_161_1 % 42.04/6.35 | | | | | | | % 42.04/6.35 | | | | | | | DELTA: instantiating (365) with fresh symbols all_163_0, % 42.04/6.35 | | | | | | | all_163_1, all_163_2, all_163_3, all_163_4 gives: % 42.04/6.35 | | | | | | | (384) appear(an_organisation, all_20_4) = all_163_2 & % 42.04/6.35 | | | | | | | greater_or_equal(all_41_5, all_163_2) = all_163_1 & % 42.04/6.35 | | | | | | | environment(all_20_4) = all_163_4 & % 42.04/6.35 | | | | | | | in_environment(all_20_4, all_41_5) = all_163_3 & % 42.04/6.35 | | | | | | | greater(all_92_0, zero) = all_163_0 & $i(all_163_2) & ( ~ % 42.04/6.35 | | | | | | | (all_163_1 = 0) | ~ (all_163_3 = 0) | ~ (all_163_4 = % 42.04/6.35 | | | | | | | 0) | all_163_0 = 0) % 42.04/6.35 | | | | | | | % 42.04/6.35 | | | | | | | ALPHA: (384) implies: % 42.04/6.35 | | | | | | | (385) greater(all_92_0, zero) = all_163_0 % 42.04/6.35 | | | | | | | (386) in_environment(all_20_4, all_41_5) = all_163_3 % 42.04/6.35 | | | | | | | (387) environment(all_20_4) = all_163_4 % 42.04/6.35 | | | | | | | % 42.04/6.35 | | | | | | | DELTA: instantiating (364) with fresh symbols all_165_0, % 42.04/6.35 | | | | | | | all_165_1, all_165_2, all_165_3, all_165_4, all_165_5, % 42.04/6.35 | | | | | | | all_165_6 gives: % 42.04/6.35 | | | | | | | (388) resources(all_20_4, all_41_5) = all_165_4 & % 42.04/6.35 | | | | | | | constant(all_165_4) = all_165_1 & constant(all_92_0) = % 42.04/6.35 | | | | | | | all_165_0 & decreases(all_165_4) = all_165_3 & % 42.04/6.35 | | | | | | | decreases(all_92_0) = all_165_2 & environment(all_20_4) = % 42.04/6.35 | | | | | | | all_165_6 & in_environment(all_20_4, all_41_5) = % 42.04/6.35 | | | | | | | all_165_5 & $i(all_165_4) & ( ~ (all_165_5 = 0) | ~ % 42.04/6.35 | | | | | | | (all_165_6 = 0) | (( ~ (all_165_1 = 0) | all_165_0 = 0) % 42.04/6.35 | | | | | | | & ( ~ (all_165_2 = 0) | ~ (all_165_3 = 0)))) % 42.04/6.35 | | | | | | | % 42.04/6.35 | | | | | | | ALPHA: (388) implies: % 42.04/6.35 | | | | | | | (389) in_environment(all_20_4, all_41_5) = all_165_5 % 42.04/6.35 | | | | | | | (390) environment(all_20_4) = all_165_6 % 42.04/6.35 | | | | | | | (391) decreases(all_92_0) = all_165_2 % 42.04/6.35 | | | | | | | (392) decreases(all_165_4) = all_165_3 % 42.04/6.35 | | | | | | | (393) constant(all_92_0) = all_165_0 % 42.04/6.35 | | | | | | | (394) constant(all_165_4) = all_165_1 % 42.04/6.35 | | | | | | | (395) resources(all_20_4, all_41_5) = all_165_4 % 42.04/6.35 | | | | | | | (396) ~ (all_165_5 = 0) | ~ (all_165_6 = 0) | (( ~ (all_165_1 % 42.04/6.35 | | | | | | | = 0) | all_165_0 = 0) & ( ~ (all_165_2 = 0) | ~ % 42.04/6.35 | | | | | | | (all_165_3 = 0))) % 42.04/6.35 | | | | | | | % 42.04/6.35 | | | | | | | DELTA: instantiating (369) with fresh symbols all_167_0, % 42.04/6.35 | | | | | | | all_167_1, all_167_2, all_167_3, all_167_4, all_167_5, % 42.04/6.35 | | | | | | | all_167_6 gives: % 42.04/6.35 | | | | | | | (397) constant(all_167_3) = all_167_0 & constant(all_104_5) = % 42.04/6.35 | | | | | | | all_167_1 & decreases(all_167_3) = all_167_2 & % 42.04/6.35 | | | | | | | decreases(all_104_5) = all_167_4 & % 42.04/6.35 | | | | | | | number_of_organizations(all_20_4, all_41_5) = all_167_3 & % 42.04/6.35 | | | | | | | environment(all_20_4) = all_167_6 & % 42.04/6.35 | | | | | | | in_environment(all_20_4, all_41_5) = all_167_5 & % 42.04/6.35 | | | | | | | $i(all_167_3) & ( ~ (all_167_5 = 0) | ~ (all_167_6 = 0) % 42.04/6.35 | | | | | | | | (( ~ (all_167_1 = 0) | all_167_0 = 0) & ( ~ % 42.04/6.35 | | | | | | | (all_167_2 = 0) | ~ (all_167_4 = 0)))) % 42.04/6.35 | | | | | | | % 42.04/6.35 | | | | | | | ALPHA: (397) implies: % 42.04/6.35 | | | | | | | (398) in_environment(all_20_4, all_41_5) = all_167_5 % 42.04/6.35 | | | | | | | (399) environment(all_20_4) = all_167_6 % 42.04/6.35 | | | | | | | (400) number_of_organizations(all_20_4, all_41_5) = all_167_3 % 42.04/6.35 | | | | | | | (401) decreases(all_104_5) = all_167_4 % 42.04/6.35 | | | | | | | (402) decreases(all_167_3) = all_167_2 % 42.04/6.35 | | | | | | | (403) constant(all_104_5) = all_167_1 % 42.04/6.35 | | | | | | | (404) constant(all_167_3) = all_167_0 % 42.04/6.35 | | | | | | | % 42.04/6.35 | | | | | | | DELTA: instantiating (360) with fresh symbols all_169_0, % 42.04/6.35 | | | | | | | all_169_1, all_169_2, all_169_3, all_169_4, all_169_5, % 42.04/6.35 | | | | | | | all_169_6 gives: % 42.04/6.35 | | | | | | | (405) resources(all_20_4, all_41_5) = all_169_2 & % 42.04/6.35 | | | | | | | constant(all_169_2) = all_169_0 & decreases(all_169_2) = % 42.04/6.35 | | | | | | | all_169_1 & number_of_organizations(all_20_4, all_41_5) = % 42.04/6.35 | | | | | | | all_169_4 & environment(all_20_4) = all_169_6 & % 42.04/6.35 | | | | | | | in_environment(all_20_4, all_41_5) = all_169_5 & % 42.04/6.35 | | | | | | | greater(all_169_4, zero) = all_169_3 & $i(all_169_2) & % 42.04/6.35 | | | | | | | $i(all_169_4) & ( ~ (all_169_3 = 0) | ~ (all_169_5 = 0) % 42.04/6.35 | | | | | | | | ~ (all_169_6 = 0) | (( ~ (all_112_3 = 0) | all_169_1 % 42.04/6.35 | | | | | | | = 0) & (all_169_0 = 0 | all_112_3 = 0))) % 42.04/6.35 | | | | | | | % 42.04/6.35 | | | | | | | ALPHA: (405) implies: % 42.04/6.35 | | | | | | | (406) in_environment(all_20_4, all_41_5) = all_169_5 % 42.04/6.35 | | | | | | | (407) environment(all_20_4) = all_169_6 % 42.04/6.35 | | | | | | | (408) number_of_organizations(all_20_4, all_41_5) = all_169_4 % 42.04/6.35 | | | | | | | (409) decreases(all_169_2) = all_169_1 % 42.04/6.36 | | | | | | | (410) constant(all_169_2) = all_169_0 % 42.04/6.36 | | | | | | | (411) resources(all_20_4, all_41_5) = all_169_2 % 42.04/6.36 | | | | | | | % 42.04/6.36 | | | | | | | DELTA: instantiating (363) with fresh symbols all_173_0, % 42.04/6.36 | | | | | | | all_173_1, all_173_2, all_173_3, all_173_4, all_173_5, % 42.04/6.36 | | | | | | | all_173_6, all_173_7 gives: % 42.04/6.36 | | | | | | | (412) resources(all_20_4, all_41_5) = all_173_2 & % 42.04/6.36 | | | | | | | equilibrium(all_20_4) = all_173_4 & constant(all_173_2) = % 42.04/6.36 | | | | | | | all_173_0 & decreases(all_173_2) = all_173_1 & % 42.04/6.36 | | | | | | | environment(all_20_4) = all_173_7 & % 42.04/6.36 | | | | | | | in_environment(all_20_4, all_41_5) = all_173_6 & % 42.04/6.36 | | | | | | | greater(all_173_4, all_41_5) = all_173_3 & % 42.04/6.36 | | | | | | | greater(all_92_0, zero) = all_173_5 & $i(all_173_2) & % 42.04/6.36 | | | | | | | $i(all_173_4) & ( ~ (all_173_5 = 0) | ~ (all_173_6 = 0) % 42.04/6.36 | | | | | | | | ~ (all_173_7 = 0) | (( ~ (all_173_3 = 0) | all_173_1 % 42.04/6.36 | | | | | | | = 0) & (all_173_0 = 0 | all_173_3 = 0))) % 42.04/6.36 | | | | | | | % 42.04/6.36 | | | | | | | ALPHA: (412) implies: % 42.04/6.36 | | | | | | | (413) greater(all_92_0, zero) = all_173_5 % 42.04/6.36 | | | | | | | (414) greater(all_173_4, all_41_5) = all_173_3 % 42.04/6.36 | | | | | | | (415) in_environment(all_20_4, all_41_5) = all_173_6 % 42.04/6.36 | | | | | | | (416) environment(all_20_4) = all_173_7 % 42.04/6.36 | | | | | | | (417) decreases(all_173_2) = all_173_1 % 42.04/6.36 | | | | | | | (418) constant(all_173_2) = all_173_0 % 42.04/6.36 | | | | | | | (419) equilibrium(all_20_4) = all_173_4 % 42.04/6.36 | | | | | | | (420) resources(all_20_4, all_41_5) = all_173_2 % 42.04/6.36 | | | | | | | (421) ~ (all_173_5 = 0) | ~ (all_173_6 = 0) | ~ (all_173_7 = % 42.04/6.36 | | | | | | | 0) | (( ~ (all_173_3 = 0) | all_173_1 = 0) & (all_173_0 % 42.04/6.36 | | | | | | | = 0 | all_173_3 = 0)) % 42.04/6.36 | | | | | | | % 42.04/6.36 | | | | | | | DELTA: instantiating (368) with fresh symbols all_175_0, % 42.04/6.36 | | | | | | | all_175_1, all_175_2, all_175_3, all_175_4, all_175_5, % 42.04/6.36 | | | | | | | all_175_6, all_175_7 gives: % 42.04/6.36 | | | | | | | (422) equilibrium(all_20_4) = all_175_3 & constant(all_104_5) = % 42.04/6.36 | | | | | | | all_175_0 & decreases(all_104_5) = all_175_1 & % 42.04/6.36 | | | | | | | number_of_organizations(all_20_4, all_41_5) = all_175_5 & % 42.04/6.36 | | | | | | | environment(all_20_4) = all_175_7 & % 42.04/6.36 | | | | | | | in_environment(all_20_4, all_41_5) = all_175_6 & % 42.04/6.36 | | | | | | | greater(all_175_3, all_41_5) = all_175_2 & % 42.04/6.36 | | | | | | | greater(all_175_5, zero) = all_175_4 & $i(all_175_3) & % 42.04/6.36 | | | | | | | $i(all_175_5) & ( ~ (all_175_4 = 0) | ~ (all_175_6 = 0) % 42.04/6.36 | | | | | | | | ~ (all_175_7 = 0) | (( ~ (all_175_2 = 0) | all_175_1 % 42.04/6.36 | | | | | | | = 0) & (all_175_0 = 0 | all_175_2 = 0))) % 42.04/6.36 | | | | | | | % 42.04/6.36 | | | | | | | ALPHA: (422) implies: % 42.04/6.36 | | | | | | | (423) greater(all_175_3, all_41_5) = all_175_2 % 42.04/6.36 | | | | | | | (424) in_environment(all_20_4, all_41_5) = all_175_6 % 42.04/6.36 | | | | | | | (425) environment(all_20_4) = all_175_7 % 42.04/6.36 | | | | | | | (426) number_of_organizations(all_20_4, all_41_5) = all_175_5 % 42.04/6.36 | | | | | | | (427) decreases(all_104_5) = all_175_1 % 42.04/6.36 | | | | | | | (428) constant(all_104_5) = all_175_0 % 42.04/6.36 | | | | | | | (429) equilibrium(all_20_4) = all_175_3 % 42.04/6.36 | | | | | | | % 42.04/6.36 | | | | | | | GROUND_INST: instantiating (31) with 0, all_157_0, all_84_1, zero, % 42.04/6.36 | | | | | | | simplifying with (352), (371) gives: % 42.04/6.36 | | | | | | | (430) all_157_0 = 0 % 42.04/6.36 | | | | | | | % 42.04/6.36 | | | | | | | GROUND_INST: instantiating (31) with all_96_0, all_173_5, zero, % 42.04/6.36 | | | | | | | all_92_0, simplifying with (337), (413) gives: % 42.04/6.36 | | | | | | | (431) all_173_5 = all_96_0 % 42.04/6.36 | | | | | | | % 42.04/6.36 | | | | | | | GROUND_INST: instantiating (31) with all_163_0, all_173_5, zero, % 42.04/6.36 | | | | | | | all_92_0, simplifying with (385), (413) gives: % 42.04/6.36 | | | | | | | (432) all_173_5 = all_163_0 % 42.04/6.36 | | | | | | | % 42.04/6.36 | | | | | | | GROUND_INST: instantiating (33) with all_159_2, all_165_5, % 42.04/6.36 | | | | | | | all_41_5, all_20_4, simplifying with (375), (389) % 42.04/6.36 | | | | | | | gives: % 42.04/6.36 | | | | | | | (433) all_165_5 = all_159_2 % 42.04/6.36 | | | | | | | % 42.04/6.36 | | | | | | | GROUND_INST: instantiating (33) with all_165_5, all_167_5, % 42.04/6.36 | | | | | | | all_41_5, all_20_4, simplifying with (389), (398) % 42.04/6.36 | | | | | | | gives: % 42.04/6.36 | | | | | | | (434) all_167_5 = all_165_5 % 42.04/6.36 | | | | | | | % 42.04/6.36 | | | | | | | GROUND_INST: instantiating (33) with all_167_5, all_169_5, % 42.04/6.36 | | | | | | | all_41_5, all_20_4, simplifying with (398), (406) % 42.04/6.36 | | | | | | | gives: % 42.04/6.36 | | | | | | | (435) all_169_5 = all_167_5 % 42.04/6.36 | | | | | | | % 42.04/6.36 | | | | | | | GROUND_INST: instantiating (33) with all_163_3, all_169_5, % 42.04/6.36 | | | | | | | all_41_5, all_20_4, simplifying with (386), (406) % 42.04/6.36 | | | | | | | gives: % 42.04/6.36 | | | | | | | (436) all_169_5 = all_163_3 % 42.04/6.36 | | | | | | | % 42.04/6.36 | | | | | | | GROUND_INST: instantiating (33) with all_165_5, all_173_6, % 42.04/6.36 | | | | | | | all_41_5, all_20_4, simplifying with (389), (415) % 42.04/6.36 | | | | | | | gives: % 42.04/6.36 | | | | | | | (437) all_173_6 = all_165_5 % 42.04/6.36 | | | | | | | % 42.04/6.36 | | | | | | | GROUND_INST: instantiating (33) with all_161_2, all_173_6, % 42.04/6.36 | | | | | | | all_41_5, all_20_4, simplifying with (381), (415) % 42.04/6.36 | | | | | | | gives: % 42.04/6.36 | | | | | | | (438) all_173_6 = all_161_2 % 42.04/6.36 | | | | | | | % 42.04/6.36 | | | | | | | GROUND_INST: instantiating (33) with 0, all_175_6, all_41_5, % 42.04/6.36 | | | | | | | all_20_4, simplifying with (149), (424) gives: % 42.04/6.36 | | | | | | | (439) all_175_6 = 0 % 42.04/6.36 | | | | | | | % 42.04/6.36 | | | | | | | GROUND_INST: instantiating (33) with all_173_6, all_175_6, % 42.04/6.36 | | | | | | | all_41_5, all_20_4, simplifying with (415), (424) % 42.04/6.36 | | | | | | | gives: % 42.04/6.36 | | | | | | | (440) all_175_6 = all_173_6 % 42.04/6.36 | | | | | | | % 42.04/6.36 | | | | | | | GROUND_INST: instantiating (34) with all_157_1, all_159_0, % 42.04/6.36 | | | | | | | all_41_5, first_movers, simplifying with (372), (376) % 42.04/6.36 | | | | | | | gives: % 42.04/6.36 | | | | | | | (441) all_159_0 = all_157_1 % 42.04/6.36 | | | | | | | % 42.04/6.36 | | | | | | | GROUND_INST: instantiating (27) with all_167_6, all_169_6, % 42.04/6.36 | | | | | | | all_20_4, simplifying with (399), (407) gives: % 42.04/6.36 | | | | | | | (442) all_169_6 = all_167_6 % 42.04/6.36 | | | | | | | % 42.04/6.36 | | | | | | | GROUND_INST: instantiating (27) with all_161_3, all_169_6, % 42.04/6.36 | | | | | | | all_20_4, simplifying with (382), (407) gives: % 42.04/6.36 | | | | | | | (443) all_169_6 = all_161_3 % 42.04/6.36 | | | | | | | % 42.04/6.36 | | | | | | | GROUND_INST: instantiating (27) with 0, all_173_7, all_20_4, % 42.04/6.36 | | | | | | | simplifying with (50), (416) gives: % 42.04/6.36 | | | | | | | (444) all_173_7 = 0 % 42.04/6.36 | | | | | | | % 42.04/6.36 | | | | | | | GROUND_INST: instantiating (27) with all_165_6, all_173_7, % 42.04/6.36 | | | | | | | all_20_4, simplifying with (390), (416) gives: % 42.04/6.36 | | | | | | | (445) all_173_7 = all_165_6 % 42.04/6.36 | | | | | | | % 42.04/6.36 | | | | | | | GROUND_INST: instantiating (27) with all_173_7, all_175_7, % 42.04/6.36 | | | | | | | all_20_4, simplifying with (416), (425) gives: % 42.04/6.36 | | | | | | | (446) all_175_7 = all_173_7 % 42.04/6.36 | | | | | | | % 42.04/6.36 | | | | | | | GROUND_INST: instantiating (27) with all_167_6, all_175_7, % 42.04/6.36 | | | | | | | all_20_4, simplifying with (399), (425) gives: % 42.04/6.36 | | | | | | | (447) all_175_7 = all_167_6 % 42.04/6.36 | | | | | | | % 42.04/6.36 | | | | | | | GROUND_INST: instantiating (27) with all_163_4, all_175_7, % 42.04/6.36 | | | | | | | all_20_4, simplifying with (387), (425) gives: % 42.04/6.36 | | | | | | | (448) all_175_7 = all_163_4 % 42.04/6.36 | | | | | | | % 42.04/6.36 | | | | | | | GROUND_INST: instantiating (27) with all_159_3, all_175_7, % 42.04/6.36 | | | | | | | all_20_4, simplifying with (377), (425) gives: % 42.04/6.36 | | | | | | | (449) all_175_7 = all_159_3 % 42.04/6.36 | | | | | | | % 42.04/6.36 | | | | | | | GROUND_INST: instantiating (37) with all_92_0, all_169_4, % 42.04/6.36 | | | | | | | all_41_5, all_20_4, simplifying with (192), (408) % 42.04/6.36 | | | | | | | gives: % 42.04/6.36 | | | | | | | (450) all_169_4 = all_92_0 % 42.04/6.36 | | | | | | | % 42.04/6.36 | | | | | | | GROUND_INST: instantiating (37) with all_161_1, all_169_4, % 42.04/6.36 | | | | | | | all_41_5, all_20_4, simplifying with (383), (408) % 42.04/6.36 | | | | | | | gives: % 42.04/6.36 | | | | | | | (451) all_169_4 = all_161_1 % 42.04/6.36 | | | | | | | % 42.04/6.36 | | | | | | | GROUND_INST: instantiating (37) with all_169_4, all_175_5, % 42.04/6.36 | | | | | | | all_41_5, all_20_4, simplifying with (408), (426) % 42.04/6.36 | | | | | | | gives: % 42.04/6.36 | | | | | | | (452) all_175_5 = all_169_4 % 42.04/6.36 | | | | | | | % 42.04/6.36 | | | | | | | GROUND_INST: instantiating (37) with all_167_3, all_175_5, % 42.04/6.36 | | | | | | | all_41_5, all_20_4, simplifying with (400), (426) % 42.04/6.36 | | | | | | | gives: % 42.04/6.36 | | | | | | | (453) all_175_5 = all_167_3 % 42.04/6.36 | | | | | | | % 42.04/6.36 | | | | | | | GROUND_INST: instantiating (37) with all_159_1, all_175_5, % 42.04/6.36 | | | | | | | all_41_5, all_20_4, simplifying with (378), (426) % 42.04/6.36 | | | | | | | gives: % 42.04/6.36 | | | | | | | (454) all_175_5 = all_159_1 % 42.04/6.36 | | | | | | | % 42.04/6.36 | | | | | | | GROUND_INST: instantiating (28) with all_104_2, all_165_2, % 42.04/6.36 | | | | | | | all_92_0, simplifying with (332), (391) gives: % 42.04/6.36 | | | | | | | (455) all_165_2 = all_104_2 % 42.04/6.36 | | | | | | | % 42.04/6.37 | | | | | | | GROUND_INST: instantiating (28) with all_104_4, all_175_1, % 42.04/6.37 | | | | | | | all_104_5, simplifying with (217), (427) gives: % 42.04/6.37 | | | | | | | (456) all_175_1 = all_104_4 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | GROUND_INST: instantiating (28) with all_167_4, all_175_1, % 42.04/6.37 | | | | | | | all_104_5, simplifying with (401), (427) gives: % 42.04/6.37 | | | | | | | (457) all_175_1 = all_167_4 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | GROUND_INST: instantiating (29) with all_104_0, all_165_0, % 42.04/6.37 | | | | | | | all_92_0, simplifying with (330), (393) gives: % 42.04/6.37 | | | | | | | (458) all_165_0 = all_104_0 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | GROUND_INST: instantiating (29) with all_104_1, all_175_0, % 42.04/6.37 | | | | | | | all_104_5, simplifying with (219), (428) gives: % 42.04/6.37 | | | | | | | (459) all_175_0 = all_104_1 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | GROUND_INST: instantiating (29) with all_167_1, all_175_0, % 42.04/6.37 | | | | | | | all_104_5, simplifying with (403), (428) gives: % 42.04/6.37 | | | | | | | (460) all_175_0 = all_167_1 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | GROUND_INST: instantiating (30) with all_43_4, all_175_3, % 42.04/6.37 | | | | | | | all_20_4, simplifying with (95), (429) gives: % 42.04/6.37 | | | | | | | (461) all_175_3 = all_43_4 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | GROUND_INST: instantiating (30) with all_173_4, all_175_3, % 42.04/6.37 | | | | | | | all_20_4, simplifying with (419), (429) gives: % 42.04/6.37 | | | | | | | (462) all_175_3 = all_173_4 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | GROUND_INST: instantiating (38) with all_104_5, all_169_2, % 42.04/6.37 | | | | | | | all_41_5, all_20_4, simplifying with (221), (411) % 42.04/6.37 | | | | | | | gives: % 42.04/6.37 | | | | | | | (463) all_169_2 = all_104_5 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | GROUND_INST: instantiating (38) with all_169_2, all_173_2, % 42.04/6.37 | | | | | | | all_41_5, all_20_4, simplifying with (411), (420) % 42.04/6.37 | | | | | | | gives: % 42.04/6.37 | | | | | | | (464) all_173_2 = all_169_2 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | GROUND_INST: instantiating (38) with all_165_4, all_173_2, % 42.04/6.37 | | | | | | | all_41_5, all_20_4, simplifying with (395), (420) % 42.04/6.37 | | | | | | | gives: % 42.04/6.37 | | | | | | | (465) all_173_2 = all_165_4 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | COMBINE_EQS: (459), (460) imply: % 42.04/6.37 | | | | | | | (466) all_167_1 = all_104_1 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | COMBINE_EQS: (456), (457) imply: % 42.04/6.37 | | | | | | | (467) all_167_4 = all_104_4 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | COMBINE_EQS: (461), (462) imply: % 42.04/6.37 | | | | | | | (468) all_173_4 = all_43_4 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | COMBINE_EQS: (452), (453) imply: % 42.04/6.37 | | | | | | | (469) all_169_4 = all_167_3 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | SIMP: (469) implies: % 42.04/6.37 | | | | | | | (470) all_169_4 = all_167_3 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | COMBINE_EQS: (453), (454) imply: % 42.04/6.37 | | | | | | | (471) all_167_3 = all_159_1 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | COMBINE_EQS: (439), (440) imply: % 42.04/6.37 | | | | | | | (472) all_173_6 = 0 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | SIMP: (472) implies: % 42.04/6.37 | | | | | | | (473) all_173_6 = 0 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | COMBINE_EQS: (447), (448) imply: % 42.04/6.37 | | | | | | | (474) all_167_6 = all_163_4 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | SIMP: (474) implies: % 42.04/6.37 | | | | | | | (475) all_167_6 = all_163_4 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | COMBINE_EQS: (448), (449) imply: % 42.04/6.37 | | | | | | | (476) all_163_4 = all_159_3 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | COMBINE_EQS: (446), (448) imply: % 42.04/6.37 | | | | | | | (477) all_173_7 = all_163_4 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | SIMP: (477) implies: % 42.04/6.37 | | | | | | | (478) all_173_7 = all_163_4 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | COMBINE_EQS: (464), (465) imply: % 42.04/6.37 | | | | | | | (479) all_169_2 = all_165_4 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | SIMP: (479) implies: % 42.04/6.37 | | | | | | | (480) all_169_2 = all_165_4 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | COMBINE_EQS: (431), (432) imply: % 42.04/6.37 | | | | | | | (481) all_163_0 = all_96_0 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | COMBINE_EQS: (437), (438) imply: % 42.04/6.37 | | | | | | | (482) all_165_5 = all_161_2 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | SIMP: (482) implies: % 42.04/6.37 | | | | | | | (483) all_165_5 = all_161_2 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | COMBINE_EQS: (438), (473) imply: % 42.04/6.37 | | | | | | | (484) all_161_2 = 0 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | COMBINE_EQS: (445), (478) imply: % 42.04/6.37 | | | | | | | (485) all_165_6 = all_163_4 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | COMBINE_EQS: (444), (445) imply: % 42.04/6.37 | | | | | | | (486) all_165_6 = 0 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | COMBINE_EQS: (463), (480) imply: % 42.04/6.37 | | | | | | | (487) all_165_4 = all_104_5 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | COMBINE_EQS: (450), (451) imply: % 42.04/6.37 | | | | | | | (488) all_161_1 = all_92_0 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | COMBINE_EQS: (451), (470) imply: % 42.04/6.37 | | | | | | | (489) all_167_3 = all_161_1 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | SIMP: (489) implies: % 42.04/6.37 | | | | | | | (490) all_167_3 = all_161_1 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | COMBINE_EQS: (435), (436) imply: % 42.04/6.37 | | | | | | | (491) all_167_5 = all_163_3 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | SIMP: (491) implies: % 42.04/6.37 | | | | | | | (492) all_167_5 = all_163_3 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | COMBINE_EQS: (442), (443) imply: % 42.04/6.37 | | | | | | | (493) all_167_6 = all_161_3 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | SIMP: (493) implies: % 42.04/6.37 | | | | | | | (494) all_167_6 = all_161_3 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | COMBINE_EQS: (471), (490) imply: % 42.04/6.37 | | | | | | | (495) all_161_1 = all_159_1 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | SIMP: (495) implies: % 42.04/6.37 | | | | | | | (496) all_161_1 = all_159_1 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | COMBINE_EQS: (434), (492) imply: % 42.04/6.37 | | | | | | | (497) all_165_5 = all_163_3 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | SIMP: (497) implies: % 42.04/6.37 | | | | | | | (498) all_165_5 = all_163_3 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | COMBINE_EQS: (475), (494) imply: % 42.04/6.37 | | | | | | | (499) all_163_4 = all_161_3 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | SIMP: (499) implies: % 42.04/6.37 | | | | | | | (500) all_163_4 = all_161_3 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | COMBINE_EQS: (433), (498) imply: % 42.04/6.37 | | | | | | | (501) all_163_3 = all_159_2 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | COMBINE_EQS: (483), (498) imply: % 42.04/6.37 | | | | | | | (502) all_163_3 = all_161_2 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | COMBINE_EQS: (485), (486) imply: % 42.04/6.37 | | | | | | | (503) all_163_4 = 0 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | SIMP: (503) implies: % 42.04/6.37 | | | | | | | (504) all_163_4 = 0 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | COMBINE_EQS: (501), (502) imply: % 42.04/6.37 | | | | | | | (505) all_161_2 = all_159_2 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | SIMP: (505) implies: % 42.04/6.37 | | | | | | | (506) all_161_2 = all_159_2 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | COMBINE_EQS: (500), (504) imply: % 42.04/6.37 | | | | | | | (507) all_161_3 = 0 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | COMBINE_EQS: (476), (500) imply: % 42.04/6.37 | | | | | | | (508) all_161_3 = all_159_3 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | COMBINE_EQS: (488), (496) imply: % 42.04/6.37 | | | | | | | (509) all_159_1 = all_92_0 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | SIMP: (509) implies: % 42.04/6.37 | | | | | | | (510) all_159_1 = all_92_0 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | COMBINE_EQS: (484), (506) imply: % 42.04/6.37 | | | | | | | (511) all_159_2 = 0 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | SIMP: (511) implies: % 42.04/6.37 | | | | | | | (512) all_159_2 = 0 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | COMBINE_EQS: (507), (508) imply: % 42.04/6.37 | | | | | | | (513) all_159_3 = 0 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | SIMP: (513) implies: % 42.04/6.37 | | | | | | | (514) all_159_3 = 0 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | COMBINE_EQS: (501), (512) imply: % 42.04/6.37 | | | | | | | (515) all_163_3 = 0 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | COMBINE_EQS: (498), (515) imply: % 42.04/6.37 | | | | | | | (516) all_165_5 = 0 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | COMBINE_EQS: (471), (510) imply: % 42.04/6.37 | | | | | | | (517) all_167_3 = all_92_0 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | COMBINE_EQS: (465), (487) imply: % 42.04/6.37 | | | | | | | (518) all_173_2 = all_104_5 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | REDUCE: (418), (518) imply: % 42.04/6.37 | | | | | | | (519) constant(all_104_5) = all_173_0 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | REDUCE: (410), (463) imply: % 42.04/6.37 | | | | | | | (520) constant(all_104_5) = all_169_0 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | REDUCE: (404), (517) imply: % 42.04/6.37 | | | | | | | (521) constant(all_92_0) = all_167_0 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | REDUCE: (394), (487) imply: % 42.04/6.37 | | | | | | | (522) constant(all_104_5) = all_165_1 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | REDUCE: (417), (518) imply: % 42.04/6.37 | | | | | | | (523) decreases(all_104_5) = all_173_1 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | REDUCE: (409), (463) imply: % 42.04/6.37 | | | | | | | (524) decreases(all_104_5) = all_169_1 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | REDUCE: (402), (517) imply: % 42.04/6.37 | | | | | | | (525) decreases(all_92_0) = all_167_2 % 42.04/6.37 | | | | | | | % 42.04/6.37 | | | | | | | REDUCE: (392), (487) imply: % 42.04/6.38 | | | | | | | (526) decreases(all_104_5) = all_165_3 % 42.04/6.38 | | | | | | | % 42.04/6.38 | | | | | | | REDUCE: (423), (461) imply: % 42.04/6.38 | | | | | | | (527) greater(all_43_4, all_41_5) = all_175_2 % 42.04/6.38 | | | | | | | % 42.04/6.38 | | | | | | | REDUCE: (414), (468) imply: % 42.04/6.38 | | | | | | | (528) greater(all_43_4, all_41_5) = all_173_3 % 42.04/6.38 | | | | | | | % 42.04/6.38 | | | | | | | BETA: splitting (373) gives: % 42.04/6.38 | | | | | | | % 42.04/6.38 | | | | | | | Case 1: % 42.04/6.38 | | | | | | | | % 42.04/6.38 | | | | | | | | (529) ~ (all_157_1 = zero) % 42.04/6.38 | | | | | | | | % 42.04/6.38 | | | | | | | | BETA: splitting (379) gives: % 42.04/6.38 | | | | | | | | % 42.04/6.38 | | | | | | | | Case 1: % 42.04/6.38 | | | | | | | | | % 42.04/6.38 | | | | | | | | | (530) ~ (all_159_1 = zero) % 42.04/6.38 | | | | | | | | | % 42.04/6.38 | | | | | | | | | REDUCE: (510), (530) imply: % 42.04/6.38 | | | | | | | | | (531) ~ (all_92_0 = zero) % 42.04/6.38 | | | | | | | | | % 42.04/6.38 | | | | | | | | | BETA: splitting (193) gives: % 42.04/6.38 | | | | | | | | | % 42.04/6.38 | | | | | | | | | Case 1: % 42.04/6.38 | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | (532) ~ (all_92_1 = 0) % 42.04/6.38 | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | REDUCE: (355), (532) imply: % 42.04/6.38 | | | | | | | | | | (533) ~ (all_90_0 = 0) % 42.04/6.38 | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | BETA: splitting (362) gives: % 42.04/6.38 | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | Case 1: % 42.04/6.38 | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | (534) all_90_1 = 0 % 42.04/6.38 | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | COMBINE_EQS: (357), (534) imply: % 42.04/6.38 | | | | | | | | | | | (535) all_96_2 = 0 % 42.04/6.38 | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | BETA: splitting (206) gives: % 42.04/6.38 | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | Case 1: % 42.04/6.38 | | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | | (536) ~ (all_96_2 = 0) % 42.04/6.38 | | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | | REDUCE: (535), (536) imply: % 42.04/6.38 | | | | | | | | | | | | (537) $false % 42.04/6.38 | | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | | CLOSE: (537) is inconsistent. % 42.04/6.38 | | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | Case 2: % 42.04/6.38 | | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | | (538) ~ (all_96_4 = 0) | all_96_0 = 0 % 42.04/6.38 | | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | | BETA: splitting (538) gives: % 42.04/6.38 | | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | | Case 1: % 42.04/6.38 | | | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | | | (539) ~ (all_96_4 = 0) % 42.04/6.38 | | | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | | | REDUCE: (323), (539) imply: % 42.04/6.38 | | | | | | | | | | | | | (540) $false % 42.04/6.38 | | | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | | | CLOSE: (540) is inconsistent. % 42.04/6.38 | | | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | | Case 2: % 42.04/6.38 | | | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | | | (541) all_96_0 = 0 % 42.04/6.38 | | | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | | | COMBINE_EQS: (356), (541) imply: % 42.04/6.38 | | | | | | | | | | | | | (542) all_112_5 = 0 % 42.04/6.38 | | | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | | | COMBINE_EQS: (431), (541) imply: % 42.04/6.38 | | | | | | | | | | | | | (543) all_173_5 = 0 % 42.04/6.38 | | | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_112_3, all_175_2, % 42.04/6.38 | | | | | | | | | | | | | all_41_5, all_43_4, simplifying with (335), (527) % 42.04/6.38 | | | | | | | | | | | | | gives: % 42.04/6.38 | | | | | | | | | | | | | (544) all_175_2 = all_112_3 % 42.04/6.38 | | | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_173_3, all_175_2, % 42.04/6.38 | | | | | | | | | | | | | all_41_5, all_43_4, simplifying with (527), (528) % 42.04/6.38 | | | | | | | | | | | | | gives: % 42.04/6.38 | | | | | | | | | | | | | (545) all_175_2 = all_173_3 % 42.04/6.38 | | | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_104_2, all_167_2, % 42.04/6.38 | | | | | | | | | | | | | all_92_0, simplifying with (332), (525) gives: % 42.04/6.38 | | | | | | | | | | | | | (546) all_167_2 = all_104_2 % 42.04/6.38 | | | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_104_4, all_169_1, % 42.04/6.38 | | | | | | | | | | | | | all_104_5, simplifying with (217), (524) gives: % 42.04/6.38 | | | | | | | | | | | | | (547) all_169_1 = all_104_4 % 42.04/6.38 | | | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_169_1, all_173_1, % 42.04/6.38 | | | | | | | | | | | | | all_104_5, simplifying with (523), (524) gives: % 42.04/6.38 | | | | | | | | | | | | | (548) all_173_1 = all_169_1 % 42.04/6.38 | | | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_165_3, all_173_1, % 42.04/6.38 | | | | | | | | | | | | | all_104_5, simplifying with (523), (526) gives: % 42.04/6.38 | | | | | | | | | | | | | (549) all_173_1 = all_165_3 % 42.04/6.38 | | | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_104_0, all_167_0, % 42.04/6.38 | | | | | | | | | | | | | all_92_0, simplifying with (330), (521) gives: % 42.04/6.38 | | | | | | | | | | | | | (550) all_167_0 = all_104_0 % 42.04/6.38 | | | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_104_1, all_169_0, % 42.04/6.38 | | | | | | | | | | | | | all_104_5, simplifying with (219), (520) gives: % 42.04/6.38 | | | | | | | | | | | | | (551) all_169_0 = all_104_1 % 42.04/6.38 | | | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_169_0, all_173_0, % 42.04/6.38 | | | | | | | | | | | | | all_104_5, simplifying with (519), (520) gives: % 42.04/6.38 | | | | | | | | | | | | | (552) all_173_0 = all_169_0 % 42.04/6.38 | | | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_165_1, all_173_0, % 42.04/6.38 | | | | | | | | | | | | | all_104_5, simplifying with (519), (522) gives: % 42.04/6.38 | | | | | | | | | | | | | (553) all_173_0 = all_165_1 % 42.04/6.38 | | | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | | | COMBINE_EQS: (544), (545) imply: % 42.04/6.38 | | | | | | | | | | | | | (554) all_173_3 = all_112_3 % 42.04/6.38 | | | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | | | SIMP: (554) implies: % 42.04/6.38 | | | | | | | | | | | | | (555) all_173_3 = all_112_3 % 42.04/6.38 | | | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | | | COMBINE_EQS: (552), (553) imply: % 42.04/6.38 | | | | | | | | | | | | | (556) all_169_0 = all_165_1 % 42.04/6.38 | | | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | | | SIMP: (556) implies: % 42.04/6.38 | | | | | | | | | | | | | (557) all_169_0 = all_165_1 % 42.04/6.38 | | | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | | | COMBINE_EQS: (548), (549) imply: % 42.04/6.38 | | | | | | | | | | | | | (558) all_169_1 = all_165_3 % 42.04/6.38 | | | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | | | SIMP: (558) implies: % 42.04/6.38 | | | | | | | | | | | | | (559) all_169_1 = all_165_3 % 42.04/6.38 | | | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | | | COMBINE_EQS: (551), (557) imply: % 42.04/6.38 | | | | | | | | | | | | | (560) all_165_1 = all_104_1 % 42.04/6.38 | | | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | | | COMBINE_EQS: (547), (559) imply: % 42.04/6.38 | | | | | | | | | | | | | (561) all_165_3 = all_104_4 % 42.04/6.38 | | | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | | | COMBINE_EQS: (553), (560) imply: % 42.04/6.38 | | | | | | | | | | | | | (562) all_173_0 = all_104_1 % 42.04/6.38 | | | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | | | BETA: splitting (241) gives: % 42.04/6.38 | | | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | | | Case 1: % 42.04/6.38 | | | | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | | | | (563) all_114_2 = 0 & all_114_4 = 0 & ~ (all_114_0 = 0) % 42.04/6.38 | | | | | | | | | | | | | | & subpopulation(all_114_5, all_20_4, all_41_5) = 0 % 42.04/6.38 | | | | | | | | | | | | | | & cardinality_at_time(all_114_5, all_41_5) = % 42.04/6.38 | | | | | | | | | | | | | | all_114_3 & growth_rate(all_114_5, all_41_5) = % 42.04/6.38 | | | | | | | | | | | | | | all_114_1 & greater(all_114_3, zero) = 0 & % 42.04/6.38 | | | | | | | | | | | | | | greater(zero, all_114_1) = all_114_0 & % 42.04/6.38 | | | | | | | | | | | | | | $i(all_114_1) & $i(all_114_3) % 42.04/6.38 | | | | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | | | | ALPHA: (563) implies: % 42.04/6.38 | | | | | | | | | | | | | | (564) ~ (all_114_0 = 0) % 42.04/6.38 | | | | | | | | | | | | | | (565) greater(zero, all_114_1) = all_114_0 % 42.04/6.38 | | | | | | | | | | | | | | (566) greater(all_114_3, zero) = 0 % 42.04/6.38 | | | | | | | | | | | | | | (567) growth_rate(all_114_5, all_41_5) = all_114_1 % 42.04/6.38 | | | | | | | | | | | | | | (568) cardinality_at_time(all_114_5, all_41_5) = % 42.04/6.38 | | | | | | | | | | | | | | all_114_3 % 42.04/6.38 | | | | | | | | | | | | | | (569) subpopulation(all_114_5, all_20_4, all_41_5) = 0 % 42.04/6.38 | | | | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_20_4, all_114_5, % 42.04/6.38 | | | | | | | | | | | | | | all_41_5, simplifying with (45), (89), (240), % 42.04/6.38 | | | | | | | | | | | | | | (569) gives: % 42.04/6.38 | | | | | | | | | | | | | | (570) all_114_5 = first_movers | all_114_5 = % 42.04/6.38 | | | | | | | | | | | | | | efficient_producers | ? [v0: any] : ? [v1: $i] : % 42.04/6.38 | | | | | | | | | | | | | | ? [v2: any] : (environment(all_20_4) = v0 & % 42.04/6.38 | | | | | | | | | | | | | | cardinality_at_time(all_114_5, all_41_5) = v1 & % 42.04/6.38 | | | | | | | | | | | | | | greater(v1, zero) = v2 & $i(v1) & ( ~ (v2 = 0) | % 42.04/6.38 | | | | | | | | | | | | | | ~ (v0 = 0))) % 42.04/6.38 | | | | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | | | | BETA: splitting (570) gives: % 42.04/6.38 | | | | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | | | | Case 1: % 42.04/6.38 | | | | | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | | | | | (571) all_114_5 = first_movers % 42.04/6.38 | | | | | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | | | | | REDUCE: (567), (571) imply: % 42.04/6.38 | | | | | | | | | | | | | | | (572) growth_rate(first_movers, all_41_5) = all_114_1 % 42.04/6.38 | | | | | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with all_84_1, all_114_1, % 42.04/6.38 | | | | | | | | | | | | | | | all_41_5, first_movers, simplifying with (172), % 42.04/6.38 | | | | | | | | | | | | | | | (572) gives: % 42.04/6.38 | | | | | | | | | | | | | | | (573) all_114_1 = all_84_1 % 42.04/6.38 | | | | | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | | | | | REDUCE: (565), (573) imply: % 42.04/6.38 | | | | | | | | | | | | | | | (574) greater(zero, all_84_1) = all_114_0 % 42.04/6.38 | | | | | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with 0, all_114_0, all_84_1, % 42.04/6.38 | | | | | | | | | | | | | | | zero, simplifying with (352), (574) gives: % 42.04/6.38 | | | | | | | | | | | | | | | (575) all_114_0 = 0 % 42.04/6.38 | | | | | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | | | | | REDUCE: (564), (575) imply: % 42.04/6.38 | | | | | | | | | | | | | | | (576) $false % 42.04/6.38 | | | | | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | | | | | CLOSE: (576) is inconsistent. % 42.04/6.38 | | | | | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | | | | Case 2: % 42.04/6.38 | | | | | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | | | | | (577) all_114_5 = efficient_producers | ? [v0: any] : % 42.04/6.38 | | | | | | | | | | | | | | | ? [v1: $i] : ? [v2: any] : (environment(all_20_4) % 42.04/6.38 | | | | | | | | | | | | | | | = v0 & cardinality_at_time(all_114_5, all_41_5) % 42.04/6.38 | | | | | | | | | | | | | | | = v1 & greater(v1, zero) = v2 & $i(v1) & ( ~ (v2 % 42.04/6.38 | | | | | | | | | | | | | | | = 0) | ~ (v0 = 0))) % 42.04/6.38 | | | | | | | | | | | | | | | % 42.04/6.38 | | | | | | | | | | | | | | | BETA: splitting (577) gives: % 42.04/6.38 | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | Case 1: % 42.04/6.39 | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | (578) all_114_5 = efficient_producers % 42.04/6.39 | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | REDUCE: (567), (578) imply: % 42.04/6.39 | | | | | | | | | | | | | | | | (579) growth_rate(efficient_producers, all_41_5) = % 42.04/6.39 | | | | | | | | | | | | | | | | all_114_1 % 42.04/6.39 | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with all_41_1, all_114_1, % 42.04/6.39 | | | | | | | | | | | | | | | | all_41_5, efficient_producers, simplifying with % 42.04/6.39 | | | | | | | | | | | | | | | | (148), (579) gives: % 42.04/6.39 | | | | | | | | | | | | | | | | (580) all_114_1 = all_41_1 % 42.04/6.39 | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | REDUCE: (565), (580) imply: % 42.04/6.39 | | | | | | | | | | | | | | | | (581) greater(zero, all_41_1) = all_114_0 % 42.04/6.39 | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with 0, all_114_0, all_41_1, % 42.04/6.39 | | | | | | | | | | | | | | | | zero, simplifying with (147), (581) gives: % 42.04/6.39 | | | | | | | | | | | | | | | | (582) all_114_0 = 0 % 42.04/6.39 | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | REDUCE: (564), (582) imply: % 42.04/6.39 | | | | | | | | | | | | | | | | (583) $false % 42.04/6.39 | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | CLOSE: (583) is inconsistent. % 42.04/6.39 | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | Case 2: % 42.04/6.39 | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | (584) ? [v0: any] : ? [v1: $i] : ? [v2: any] : % 42.04/6.39 | | | | | | | | | | | | | | | | (environment(all_20_4) = v0 & % 42.04/6.39 | | | | | | | | | | | | | | | | cardinality_at_time(all_114_5, all_41_5) = v1 & % 42.04/6.39 | | | | | | | | | | | | | | | | greater(v1, zero) = v2 & $i(v1) & ( ~ (v2 = 0) | % 42.04/6.39 | | | | | | | | | | | | | | | | ~ (v0 = 0))) % 42.04/6.39 | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | DELTA: instantiating (584) with fresh symbols all_518_0, % 42.04/6.39 | | | | | | | | | | | | | | | | all_518_1, all_518_2 gives: % 42.04/6.39 | | | | | | | | | | | | | | | | (585) environment(all_20_4) = all_518_2 & % 42.04/6.39 | | | | | | | | | | | | | | | | cardinality_at_time(all_114_5, all_41_5) = % 42.04/6.39 | | | | | | | | | | | | | | | | all_518_1 & greater(all_518_1, zero) = all_518_0 & % 42.04/6.39 | | | | | | | | | | | | | | | | $i(all_518_1) & ( ~ (all_518_0 = 0) | ~ % 42.04/6.39 | | | | | | | | | | | | | | | | (all_518_2 = 0)) % 42.04/6.39 | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | ALPHA: (585) implies: % 42.04/6.39 | | | | | | | | | | | | | | | | (586) greater(all_518_1, zero) = all_518_0 % 42.04/6.39 | | | | | | | | | | | | | | | | (587) cardinality_at_time(all_114_5, all_41_5) = % 42.04/6.39 | | | | | | | | | | | | | | | | all_518_1 % 42.04/6.39 | | | | | | | | | | | | | | | | (588) environment(all_20_4) = all_518_2 % 42.04/6.39 | | | | | | | | | | | | | | | | (589) ~ (all_518_0 = 0) | ~ (all_518_2 = 0) % 42.04/6.39 | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (34) with all_114_3, all_518_1, % 42.04/6.39 | | | | | | | | | | | | | | | | all_41_5, all_114_5, simplifying with (568), (587) % 42.04/6.39 | | | | | | | | | | | | | | | | gives: % 42.04/6.39 | | | | | | | | | | | | | | | | (590) all_518_1 = all_114_3 % 42.04/6.39 | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with 0, all_518_2, all_20_4, % 42.04/6.39 | | | | | | | | | | | | | | | | simplifying with (50), (588) gives: % 42.04/6.39 | | | | | | | | | | | | | | | | (591) all_518_2 = 0 % 42.04/6.39 | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | REDUCE: (586), (590) imply: % 42.04/6.39 | | | | | | | | | | | | | | | | (592) greater(all_114_3, zero) = all_518_0 % 42.04/6.39 | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | BETA: splitting (589) gives: % 42.04/6.39 | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | Case 1: % 42.04/6.39 | | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | | (593) ~ (all_518_0 = 0) % 42.04/6.39 | | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with 0, all_518_0, zero, % 42.04/6.39 | | | | | | | | | | | | | | | | | all_114_3, simplifying with (566), (592) gives: % 42.04/6.39 | | | | | | | | | | | | | | | | | (594) all_518_0 = 0 % 42.04/6.39 | | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | | REDUCE: (593), (594) imply: % 42.04/6.39 | | | | | | | | | | | | | | | | | (595) $false % 42.04/6.39 | | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | | CLOSE: (595) is inconsistent. % 42.04/6.39 | | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | Case 2: % 42.04/6.39 | | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | | (596) ~ (all_518_2 = 0) % 42.04/6.39 | | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | | REDUCE: (591), (596) imply: % 42.04/6.39 | | | | | | | | | | | | | | | | | (597) $false % 42.04/6.39 | | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | | CLOSE: (597) is inconsistent. % 42.04/6.39 | | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | End of split % 42.04/6.39 | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | End of split % 42.04/6.39 | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | End of split % 42.04/6.39 | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | Case 2: % 42.04/6.39 | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | (598) decreases(all_114_7) = all_114_6 & % 42.04/6.39 | | | | | | | | | | | | | | number_of_organizations(all_20_4, all_41_5) = % 42.04/6.39 | | | | | | | | | | | | | | all_114_7 & environment(all_20_4) = all_114_8 & % 42.04/6.39 | | | | | | | | | | | | | | $i(all_114_7) & ( ~ (all_114_8 = 0) | all_114_6 = % 42.04/6.39 | | | | | | | | | | | | | | 0) % 42.04/6.39 | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | ALPHA: (598) implies: % 42.04/6.39 | | | | | | | | | | | | | | (599) $i(all_114_7) % 42.04/6.39 | | | | | | | | | | | | | | (600) environment(all_20_4) = all_114_8 % 42.04/6.39 | | | | | | | | | | | | | | (601) number_of_organizations(all_20_4, all_41_5) = % 42.04/6.39 | | | | | | | | | | | | | | all_114_7 % 42.04/6.39 | | | | | | | | | | | | | | (602) decreases(all_114_7) = all_114_6 % 42.04/6.39 | | | | | | | | | | | | | | (603) ~ (all_114_8 = 0) | all_114_6 = 0 % 42.04/6.39 | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with 0, all_114_8, all_20_4, % 42.04/6.39 | | | | | | | | | | | | | | simplifying with (50), (600) gives: % 42.04/6.39 | | | | | | | | | | | | | | (604) all_114_8 = 0 % 42.04/6.39 | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | GROUND_INST: instantiating (37) with all_92_0, all_114_7, % 42.04/6.39 | | | | | | | | | | | | | | all_41_5, all_20_4, simplifying with (192), (601) % 42.04/6.39 | | | | | | | | | | | | | | gives: % 42.04/6.39 | | | | | | | | | | | | | | (605) all_114_7 = all_92_0 % 42.04/6.39 | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | REDUCE: (602), (605) imply: % 42.04/6.39 | | | | | | | | | | | | | | (606) decreases(all_92_0) = all_114_6 % 42.04/6.39 | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | REDUCE: (599), (605) imply: % 42.04/6.39 | | | | | | | | | | | | | | (607) $i(all_92_0) % 42.04/6.39 | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | BETA: splitting (603) gives: % 42.04/6.39 | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | Case 1: % 42.04/6.39 | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | (608) ~ (all_114_8 = 0) % 42.04/6.39 | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | REDUCE: (604), (608) imply: % 42.04/6.39 | | | | | | | | | | | | | | | (609) $false % 42.04/6.39 | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | CLOSE: (609) is inconsistent. % 42.04/6.39 | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | Case 2: % 42.04/6.39 | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | (610) all_114_6 = 0 % 42.04/6.39 | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | REDUCE: (606), (610) imply: % 42.04/6.39 | | | | | | | | | | | | | | | (611) decreases(all_92_0) = 0 % 42.04/6.39 | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_104_2, 0, all_92_0, % 42.04/6.39 | | | | | | | | | | | | | | | simplifying with (332), (611) gives: % 42.04/6.39 | | | | | | | | | | | | | | | (612) all_104_2 = 0 % 42.04/6.39 | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | COMBINE_EQS: (455), (612) imply: % 42.04/6.39 | | | | | | | | | | | | | | | (613) all_165_2 = 0 % 42.04/6.39 | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | BETA: splitting (396) gives: % 42.04/6.39 | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | Case 1: % 42.04/6.39 | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | (614) ~ (all_165_5 = 0) % 42.04/6.39 | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | REDUCE: (516), (614) imply: % 42.04/6.39 | | | | | | | | | | | | | | | | (615) $false % 42.04/6.39 | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | CLOSE: (615) is inconsistent. % 42.04/6.39 | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | Case 2: % 42.04/6.39 | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | (616) ~ (all_165_6 = 0) | (( ~ (all_165_1 = 0) | % 42.04/6.39 | | | | | | | | | | | | | | | | all_165_0 = 0) & ( ~ (all_165_2 = 0) | ~ % 42.04/6.39 | | | | | | | | | | | | | | | | (all_165_3 = 0))) % 42.04/6.39 | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | BETA: splitting (616) gives: % 42.04/6.39 | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | Case 1: % 42.04/6.39 | | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | | (617) ~ (all_165_6 = 0) % 42.04/6.39 | | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | | REDUCE: (486), (617) imply: % 42.04/6.39 | | | | | | | | | | | | | | | | | (618) $false % 42.04/6.39 | | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | | CLOSE: (618) is inconsistent. % 42.04/6.39 | | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | Case 2: % 42.04/6.39 | | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | | (619) ( ~ (all_165_1 = 0) | all_165_0 = 0) & ( ~ % 42.04/6.39 | | | | | | | | | | | | | | | | | (all_165_2 = 0) | ~ (all_165_3 = 0)) % 42.04/6.39 | | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | | ALPHA: (619) implies: % 42.04/6.39 | | | | | | | | | | | | | | | | | (620) ~ (all_165_2 = 0) | ~ (all_165_3 = 0) % 42.04/6.39 | | | | | | | | | | | | | | | | | (621) ~ (all_165_1 = 0) | all_165_0 = 0 % 42.04/6.39 | | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | | BETA: splitting (620) gives: % 42.04/6.39 | | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | | Case 1: % 42.04/6.39 | | | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | | | (622) ~ (all_165_2 = 0) % 42.04/6.39 | | | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | | | REDUCE: (613), (622) imply: % 42.04/6.39 | | | | | | | | | | | | | | | | | | (623) $false % 42.04/6.39 | | | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | | | CLOSE: (623) is inconsistent. % 42.04/6.39 | | | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | | Case 2: % 42.04/6.39 | | | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | | | (624) ~ (all_165_3 = 0) % 42.04/6.39 | | | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | | | REDUCE: (561), (624) imply: % 42.04/6.39 | | | | | | | | | | | | | | | | | | (625) ~ (all_104_4 = 0) % 42.04/6.39 | | | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | | | BETA: splitting (421) gives: % 42.04/6.39 | | | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | | | Case 1: % 42.04/6.39 | | | | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | | | | (626) ~ (all_173_5 = 0) % 42.04/6.39 | | | | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | | | | REDUCE: (543), (626) imply: % 42.04/6.39 | | | | | | | | | | | | | | | | | | | (627) $false % 42.04/6.39 | | | | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | | | | CLOSE: (627) is inconsistent. % 42.04/6.39 | | | | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | | | Case 2: % 42.04/6.39 | | | | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | | | | (628) ~ (all_173_6 = 0) | ~ (all_173_7 = 0) | (( ~ % 42.04/6.39 | | | | | | | | | | | | | | | | | | | (all_173_3 = 0) | all_173_1 = 0) & (all_173_0 % 42.04/6.39 | | | | | | | | | | | | | | | | | | | = 0 | all_173_3 = 0)) % 42.04/6.39 | | | | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | | | | BETA: splitting (628) gives: % 42.04/6.39 | | | | | | | | | | | | | | | | | | | % 42.04/6.39 | | | | | | | | | | | | | | | | | | | Case 1: % 42.04/6.39 | | | | | | | | | | | | | | | | | | | | % 42.04/6.40 | | | | | | | | | | | | | | | | | | | | (629) ~ (all_173_6 = 0) % 42.04/6.40 | | | | | | | | | | | | | | | | | | | | % 42.04/6.40 | | | | | | | | | | | | | | | | | | | | REDUCE: (473), (629) imply: % 42.04/6.40 | | | | | | | | | | | | | | | | | | | | (630) $false % 42.04/6.40 | | | | | | | | | | | | | | | | | | | | % 42.04/6.40 | | | | | | | | | | | | | | | | | | | | CLOSE: (630) is inconsistent. % 42.04/6.40 | | | | | | | | | | | | | | | | | | | | % 42.04/6.40 | | | | | | | | | | | | | | | | | | | Case 2: % 42.04/6.40 | | | | | | | | | | | | | | | | | | | | % 42.04/6.40 | | | | | | | | | | | | | | | | | | | | (631) ~ (all_173_7 = 0) | (( ~ (all_173_3 = 0) | % 42.04/6.40 | | | | | | | | | | | | | | | | | | | | all_173_1 = 0) & (all_173_0 = 0 | all_173_3 = % 42.04/6.40 | | | | | | | | | | | | | | | | | | | | 0)) % 42.04/6.40 | | | | | | | | | | | | | | | | | | | | % 42.04/6.40 | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives: % 42.04/6.40 | | | | | | | | | | | | | | | | | | | | % 42.04/6.40 | | | | | | | | | | | | | | | | | | | | Case 1: % 42.04/6.40 | | | | | | | | | | | | | | | | | | | | | % 42.04/6.40 | | | | | | | | | | | | | | | | | | | | | (632) ~ (all_112_5 = 0) % 42.04/6.40 | | | | | | | | | | | | | | | | | | | | | % 42.04/6.40 | | | | | | | | | | | | | | | | | | | | | REDUCE: (542), (632) imply: % 42.04/6.40 | | | | | | | | | | | | | | | | | | | | | (633) $false % 42.04/6.40 | | | | | | | | | | | | | | | | | | | | | % 42.04/6.40 | | | | | | | | | | | | | | | | | | | | | CLOSE: (633) is inconsistent. % 42.04/6.40 | | | | | | | | | | | | | | | | | | | | | % 42.04/6.40 | | | | | | | | | | | | | | | | | | | | Case 2: % 42.04/6.40 | | | | | | | | | | | | | | | | | | | | | % 42.04/6.40 | | | | | | | | | | | | | | | | | | | | | (634) ~ (all_112_7 = 0) | (( ~ (all_112_3 = 0) | % 42.04/6.40 | | | | | | | | | | | | | | | | | | | | | all_112_1 = 0) & (all_112_0 = 0 | all_112_3 = % 42.04/6.40 | | | | | | | | | | | | | | | | | | | | | 0)) % 42.04/6.40 | | | | | | | | | | | | | | | | | | | | | % 42.04/6.40 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (634) gives: % 42.04/6.40 | | | | | | | | | | | | | | | | | | | | | % 42.04/6.40 | | | | | | | | | | | | | | | | | | | | | Case 1: % 42.04/6.40 | | | | | | | | | | | | | | | | | | | | | | % 42.04/6.40 | | | | | | | | | | | | | | | | | | | | | | (635) ~ (all_112_7 = 0) % 42.04/6.40 | | | | | | | | | | | | | | | | | | | | | | % 42.04/6.40 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (327), (635) imply: % 42.04/6.40 | | | | | | | | | | | | | | | | | | | | | | (636) $false % 42.04/6.40 | | | | | | | | | | | | | | | | | | | | | | % 42.04/6.40 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (636) is inconsistent. % 42.04/6.40 | | | | | | | | | | | | | | | | | | | | | | % 42.04/6.40 | | | | | | | | | | | | | | | | | | | | | Case 2: % 42.04/6.40 | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | (637) ( ~ (all_112_3 = 0) | all_112_1 = 0) & (all_112_0 % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | = 0 | all_112_3 = 0) % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (637) implies: % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | (638) ~ (all_112_3 = 0) | all_112_1 = 0 % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (638) gives: % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | (639) ~ (all_112_3 = 0) % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (631) gives: % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | (640) ~ (all_173_7 = 0) % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (444), (640) imply: % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | (641) $false % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (641) is inconsistent. % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | (642) ( ~ (all_173_3 = 0) | all_173_1 = 0) & (all_173_0 % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | = 0 | all_173_3 = 0) % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (642) implies: % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | (643) all_173_0 = 0 | all_173_3 = 0 % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (643) gives: % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | (644) all_173_0 = 0 % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (562), (644) imply: % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | (645) all_104_1 = 0 % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (645) implies: % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | (646) all_104_1 = 0 % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (560), (646) imply: % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | (647) all_165_1 = 0 % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (621) gives: % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (648) ~ (all_165_1 = 0) % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (647), (648) imply: % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (649) $false % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (649) is inconsistent. % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (650) all_165_0 = 0 % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (458), (650) imply: % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (651) all_104_0 = 0 % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (651) implies: % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (652) all_104_0 = 0 % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (330), (652) imply: % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (653) constant(all_92_0) = 0 % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (8) with all_92_0, simplifying with % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (607), (653) gives: % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (654) ? [v0: int] : ( ~ (v0 = 0) & decreases(all_92_0) % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | | = v0) % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (654) with fresh symbol all_367_0 % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (655) ~ (all_367_0 = 0) & decreases(all_92_0) = % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | | all_367_0 % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (655) implies: % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (656) ~ (all_367_0 = 0) % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (657) decreases(all_92_0) = all_367_0 % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with 0, all_367_0, all_92_0, % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (611), (657) gives: % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (658) all_367_0 = 0 % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (656), (658) imply: % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (659) $false % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (659) is inconsistent. % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | (660) all_173_3 = 0 % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (555), (660) imply: % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | (661) all_112_3 = 0 % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (661) implies: % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | (662) all_112_3 = 0 % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (639), (662) imply: % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | (663) $false % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (663) is inconsistent. % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | End of split % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | (664) all_112_1 = 0 % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (358), (664) imply: % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | (665) all_104_4 = 0 % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (665) implies: % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | (666) all_104_4 = 0 % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (625), (666) imply: % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | (667) $false % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (667) is inconsistent. % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | End of split % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | End of split % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | End of split % 42.54/6.40 | | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | | End of split % 42.54/6.40 | | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | | End of split % 42.54/6.40 | | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | | End of split % 42.54/6.40 | | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | | End of split % 42.54/6.40 | | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | | End of split % 42.54/6.40 | | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | | End of split % 42.54/6.40 | | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | End of split % 42.54/6.40 | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | End of split % 42.54/6.40 | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | End of split % 42.54/6.40 | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | Case 2: % 42.54/6.40 | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | (668) ~ (all_90_1 = 0) % 42.54/6.40 | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | BETA: splitting (187) gives: % 42.54/6.40 | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | Case 1: % 42.54/6.40 | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | (669) ~ (all_90_3 = 0) % 42.54/6.40 | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | REDUCE: (321), (669) imply: % 42.54/6.40 | | | | | | | | | | | | (670) $false % 42.54/6.40 | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | CLOSE: (670) is inconsistent. % 42.54/6.40 | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | Case 2: % 42.54/6.40 | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | (671) all_90_0 = 0 | all_90_1 = 0 % 42.54/6.40 | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | BETA: splitting (671) gives: % 42.54/6.40 | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | Case 1: % 42.54/6.40 | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | (672) all_90_0 = 0 % 42.54/6.40 | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | REDUCE: (533), (672) imply: % 42.54/6.40 | | | | | | | | | | | | | (673) $false % 42.54/6.40 | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | CLOSE: (673) is inconsistent. % 42.54/6.40 | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | Case 2: % 42.54/6.40 | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | (674) all_90_1 = 0 % 42.54/6.40 | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | REDUCE: (668), (674) imply: % 42.54/6.40 | | | | | | | | | | | | | (675) $false % 42.54/6.40 | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | | CLOSE: (675) is inconsistent. % 42.54/6.40 | | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | | End of split % 42.54/6.40 | | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | | End of split % 42.54/6.40 | | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | End of split % 42.54/6.40 | | | | | | | | | | % 42.54/6.40 | | | | | | | | | Case 2: % 42.54/6.40 | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | (676) ~ (all_92_3 = 0) | all_92_0 = zero % 42.54/6.40 | | | | | | | | | | % 42.54/6.40 | | | | | | | | | | BETA: splitting (676) gives: % 42.54/6.41 | | | | | | | | | | % 42.54/6.41 | | | | | | | | | | Case 1: % 42.54/6.41 | | | | | | | | | | | % 42.54/6.41 | | | | | | | | | | | (677) ~ (all_92_3 = 0) % 42.54/6.41 | | | | | | | | | | | % 42.54/6.41 | | | | | | | | | | | REDUCE: (322), (677) imply: % 42.54/6.41 | | | | | | | | | | | (678) $false % 42.54/6.41 | | | | | | | | | | | % 42.54/6.41 | | | | | | | | | | | CLOSE: (678) is inconsistent. % 42.54/6.41 | | | | | | | | | | | % 42.54/6.41 | | | | | | | | | | Case 2: % 42.54/6.41 | | | | | | | | | | | % 42.54/6.41 | | | | | | | | | | | (679) all_92_0 = zero % 42.54/6.41 | | | | | | | | | | | % 42.54/6.41 | | | | | | | | | | | REDUCE: (531), (679) imply: % 42.54/6.41 | | | | | | | | | | | (680) $false % 42.54/6.41 | | | | | | | | | | | % 42.54/6.41 | | | | | | | | | | | CLOSE: (680) is inconsistent. % 42.54/6.41 | | | | | | | | | | | % 42.54/6.41 | | | | | | | | | | End of split % 42.54/6.41 | | | | | | | | | | % 42.54/6.41 | | | | | | | | | End of split % 42.54/6.41 | | | | | | | | | % 42.54/6.41 | | | | | | | | Case 2: % 42.54/6.41 | | | | | | | | | % 42.54/6.41 | | | | | | | | | (681) ~ (all_159_2 = 0) | ~ (all_159_3 = 0) | all_159_0 = % 42.54/6.41 | | | | | | | | | zero % 42.54/6.41 | | | | | | | | | % 42.54/6.41 | | | | | | | | | BETA: splitting (681) gives: % 42.54/6.41 | | | | | | | | | % 42.54/6.41 | | | | | | | | | Case 1: % 42.54/6.41 | | | | | | | | | | % 42.54/6.41 | | | | | | | | | | (682) ~ (all_159_2 = 0) % 42.54/6.41 | | | | | | | | | | % 42.54/6.41 | | | | | | | | | | REDUCE: (512), (682) imply: % 42.54/6.41 | | | | | | | | | | (683) $false % 42.54/6.41 | | | | | | | | | | % 42.54/6.41 | | | | | | | | | | CLOSE: (683) is inconsistent. % 42.54/6.41 | | | | | | | | | | % 42.54/6.41 | | | | | | | | | Case 2: % 42.54/6.41 | | | | | | | | | | % 42.54/6.41 | | | | | | | | | | (684) ~ (all_159_3 = 0) | all_159_0 = zero % 42.54/6.41 | | | | | | | | | | % 42.54/6.41 | | | | | | | | | | BETA: splitting (684) gives: % 42.54/6.41 | | | | | | | | | | % 42.54/6.41 | | | | | | | | | | Case 1: % 42.54/6.41 | | | | | | | | | | | % 42.54/6.41 | | | | | | | | | | | (685) ~ (all_159_3 = 0) % 42.54/6.41 | | | | | | | | | | | % 42.54/6.41 | | | | | | | | | | | REDUCE: (514), (685) imply: % 42.54/6.41 | | | | | | | | | | | (686) $false % 42.54/6.41 | | | | | | | | | | | % 42.54/6.41 | | | | | | | | | | | CLOSE: (686) is inconsistent. % 42.54/6.41 | | | | | | | | | | | % 42.54/6.41 | | | | | | | | | | Case 2: % 42.54/6.41 | | | | | | | | | | | % 42.54/6.41 | | | | | | | | | | | (687) all_159_0 = zero % 42.54/6.41 | | | | | | | | | | | % 42.54/6.41 | | | | | | | | | | | COMBINE_EQS: (441), (687) imply: % 42.54/6.41 | | | | | | | | | | | (688) all_157_1 = zero % 42.54/6.41 | | | | | | | | | | | % 42.54/6.41 | | | | | | | | | | | REDUCE: (529), (688) imply: % 42.54/6.41 | | | | | | | | | | | (689) $false % 42.54/6.41 | | | | | | | | | | | % 42.54/6.41 | | | | | | | | | | | CLOSE: (689) is inconsistent. % 42.54/6.41 | | | | | | | | | | | % 42.54/6.41 | | | | | | | | | | End of split % 42.54/6.41 | | | | | | | | | | % 42.54/6.41 | | | | | | | | | End of split % 42.54/6.41 | | | | | | | | | % 42.54/6.41 | | | | | | | | End of split % 42.54/6.41 | | | | | | | | % 42.54/6.41 | | | | | | | Case 2: % 42.54/6.41 | | | | | | | | % 42.54/6.41 | | | | | | | | (690) ~ (all_157_0 = 0) % 42.54/6.41 | | | | | | | | % 42.54/6.41 | | | | | | | | REDUCE: (430), (690) imply: % 42.54/6.41 | | | | | | | | (691) $false % 42.54/6.41 | | | | | | | | % 42.54/6.41 | | | | | | | | CLOSE: (691) is inconsistent. % 42.54/6.41 | | | | | | | | % 42.54/6.41 | | | | | | | End of split % 42.54/6.41 | | | | | | | % 42.54/6.41 | | | | | | End of split % 42.54/6.41 | | | | | | % 42.54/6.41 | | | | | End of split % 42.54/6.41 | | | | | % 42.54/6.41 | | | | Case 2: % 42.54/6.41 | | | | | % 42.54/6.41 | | | | | (692) environment(all_20_4) = all_41_7 & % 42.54/6.41 | | | | | cardinality_at_time(efficient_producers, all_20_3) = all_41_6 % 42.54/6.41 | | | | | & $i(all_41_6) & ( ~ (all_41_6 = zero) | ~ (all_41_7 = 0)) % 42.54/6.41 | | | | | % 42.54/6.41 | | | | | ALPHA: (692) implies: % 42.54/6.41 | | | | | (693) cardinality_at_time(efficient_producers, all_20_3) = all_41_6 % 42.54/6.41 | | | | | (694) environment(all_20_4) = all_41_7 % 42.54/6.41 | | | | | (695) ~ (all_41_6 = zero) | ~ (all_41_7 = 0) % 42.54/6.41 | | | | | % 42.54/6.41 | | | | | GROUND_INST: instantiating (34) with zero, all_41_6, all_20_3, % 42.54/6.41 | | | | | efficient_producers, simplifying with (145), (693) gives: % 42.54/6.41 | | | | | (696) all_41_6 = zero % 42.54/6.41 | | | | | % 42.54/6.41 | | | | | GROUND_INST: instantiating (27) with 0, all_41_7, all_20_4, % 42.54/6.41 | | | | | simplifying with (50), (694) gives: % 42.54/6.41 | | | | | (697) all_41_7 = 0 % 42.54/6.41 | | | | | % 42.54/6.41 | | | | | BETA: splitting (695) gives: % 42.54/6.41 | | | | | % 42.54/6.41 | | | | | Case 1: % 42.54/6.41 | | | | | | % 42.54/6.41 | | | | | | (698) ~ (all_41_6 = zero) % 42.54/6.41 | | | | | | % 42.54/6.41 | | | | | | REDUCE: (696), (698) imply: % 42.54/6.41 | | | | | | (699) $false % 42.54/6.41 | | | | | | % 42.54/6.41 | | | | | | CLOSE: (699) is inconsistent. % 42.54/6.41 | | | | | | % 42.54/6.41 | | | | | Case 2: % 42.54/6.41 | | | | | | % 42.54/6.41 | | | | | | (700) ~ (all_41_7 = 0) % 42.54/6.41 | | | | | | % 42.54/6.41 | | | | | | REDUCE: (697), (700) imply: % 42.54/6.42 | | | | | | (701) $false % 42.54/6.42 | | | | | | % 42.54/6.42 | | | | | | CLOSE: (701) is inconsistent. % 42.54/6.42 | | | | | | % 42.54/6.42 | | | | | End of split % 42.54/6.42 | | | | | % 42.54/6.42 | | | | End of split % 42.54/6.42 | | | | % 42.54/6.42 | | | Case 2: % 42.54/6.42 | | | | % 42.54/6.42 | | | | (702) all_29_0 = 0 % 42.54/6.42 | | | | % 42.54/6.42 | | | | COMBINE_EQS: (138), (702) imply: % 42.54/6.42 | | | | (703) all_20_0 = 0 % 42.54/6.42 | | | | % 42.54/6.42 | | | | REDUCE: (44), (703) imply: % 42.54/6.42 | | | | (704) $false % 42.54/6.42 | | | | % 42.54/6.42 | | | | CLOSE: (704) is inconsistent. % 42.54/6.42 | | | | % 42.54/6.42 | | | End of split % 42.54/6.42 | | | % 42.54/6.42 | | End of split % 42.54/6.42 | | % 42.54/6.42 | End of split % 42.54/6.42 | % 42.54/6.42 End of proof % 42.54/6.42 % SZS output end Proof for theBenchmark % 42.54/6.42 % 42.54/6.42 5700ms %------------------------------------------------------------------------------