TSTP Solution File: MGT050+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : MGT050+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 09:16:28 EDT 2023
% Result : Theorem 22.14s 3.57s
% Output : Proof 22.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : MGT050+1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.14/0.34 % Computer : n017.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 05:57:12 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.21/0.56 ________ _____
% 0.21/0.56 ___ __ \_________(_)________________________________
% 0.21/0.56 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.21/0.56 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.21/0.56 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.21/0.56
% 0.21/0.56 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.21/0.56 (2023-06-19)
% 0.21/0.56
% 0.21/0.56 (c) Philipp Rümmer, 2009-2023
% 0.21/0.56 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.21/0.56 Amanda Stjerna.
% 0.21/0.56 Free software under BSD-3-Clause.
% 0.21/0.56
% 0.21/0.56 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.21/0.56
% 0.21/0.57 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.21/0.58 Running up to 7 provers in parallel.
% 0.21/0.59 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.21/0.59 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.21/0.59 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.21/0.59 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.21/0.59 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.21/0.59 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.21/0.59 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.18/1.05 Prover 1: Preprocessing ...
% 3.18/1.05 Prover 4: Preprocessing ...
% 3.23/1.08 Prover 3: Preprocessing ...
% 3.23/1.08 Prover 0: Preprocessing ...
% 3.23/1.09 Prover 2: Preprocessing ...
% 3.23/1.09 Prover 6: Preprocessing ...
% 3.23/1.09 Prover 5: Preprocessing ...
% 5.78/1.41 Prover 3: Constructing countermodel ...
% 5.78/1.41 Prover 6: Constructing countermodel ...
% 5.84/1.42 Prover 1: Constructing countermodel ...
% 6.50/1.57 Prover 2: Proving ...
% 6.50/1.58 Prover 4: Constructing countermodel ...
% 7.14/1.60 Prover 3: gave up
% 7.14/1.61 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 7.14/1.61 Prover 5: Proving ...
% 7.14/1.63 Prover 0: Proving ...
% 7.14/1.64 Prover 1: gave up
% 7.14/1.64 Prover 6: gave up
% 7.14/1.65 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 7.14/1.65 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889
% 7.14/1.66 Prover 7: Preprocessing ...
% 7.93/1.70 Prover 9: Preprocessing ...
% 7.93/1.70 Prover 8: Preprocessing ...
% 8.81/1.84 Prover 8: Warning: ignoring some quantifiers
% 8.81/1.85 Prover 8: Constructing countermodel ...
% 9.41/1.92 Prover 7: Warning: ignoring some quantifiers
% 9.41/1.94 Prover 7: Constructing countermodel ...
% 9.41/1.97 Prover 8: gave up
% 9.41/1.97 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 9.41/2.00 Prover 9: Constructing countermodel ...
% 9.41/2.04 Prover 10: Preprocessing ...
% 10.80/2.11 Prover 10: Warning: ignoring some quantifiers
% 10.80/2.11 Prover 10: Constructing countermodel ...
% 13.48/2.47 Prover 10: gave up
% 13.48/2.49 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 13.48/2.52 Prover 11: Preprocessing ...
% 15.01/2.67 Prover 11: Constructing countermodel ...
% 22.14/3.57 Prover 11: Found proof (size 151)
% 22.14/3.57 Prover 11: proved (1078ms)
% 22.14/3.57 Prover 9: stopped
% 22.14/3.57 Prover 4: stopped
% 22.14/3.57 Prover 0: stopped
% 22.14/3.57 Prover 7: stopped
% 22.14/3.57 Prover 2: stopped
% 22.14/3.57 Prover 5: stopped
% 22.14/3.57
% 22.14/3.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.14/3.57
% 22.14/3.58 % SZS output start Proof for theBenchmark
% 22.14/3.58 Assumptions after simplification:
% 22.14/3.58 ---------------------------------
% 22.14/3.58
% 22.14/3.58 (assumption_1)
% 22.31/3.61 ! [v0: $i] : ! [v1: $i] : ( ~ (has_immunity(v0, v1) = 0) | ~ $i(v1) | ~
% 22.31/3.61 $i(v0) | ? [v2: int] : ? [v3: int] : ((v3 = 0 & has_endowment(v0) = 0) | (
% 22.31/3.61 ~ (v2 = 0) & organization(v0) = v2)))
% 22.31/3.61
% 22.31/3.61 (assumption_10)
% 22.31/3.61 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v3
% 22.31/3.61 | ~ (stock_of_knowledge(v0, v2) = v3) | ~ (stock_of_knowledge(v0, v1) =
% 22.31/3.61 v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: int] : ( ~ (v5 = 0) &
% 22.31/3.61 organization(v0) = v5))
% 22.31/3.61
% 22.31/3.61 (assumption_11)
% 22.31/3.61 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v3
% 22.31/3.61 | ~ (external_ties(v0, v2) = v3) | ~ (external_ties(v0, v1) = v4) | ~
% 22.31/3.61 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: int] : ( ~ (v5 = 0) &
% 22.31/3.61 organization(v0) = v5))
% 22.31/3.61
% 22.31/3.61 (assumption_12)
% 22.31/3.61 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 22.31/3.61 int] : (v5 = 0 | ~ (internal_friction(v0, v2) = v3) | ~
% 22.31/3.61 (internal_friction(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ~ $i(v2) |
% 22.31/3.61 ~ $i(v1) | ~ $i(v0) | ? [v6: int] : ? [v7: $i] : ? [v8: $i] : ? [v9:
% 22.31/3.61 int] : (( ~ (v9 = 0) & age(v0, v2) = v7 & age(v0, v1) = v8 & greater(v7,
% 22.31/3.61 v8) = v9 & $i(v8) & $i(v7)) | ( ~ (v6 = 0) & organization(v0) = v6)))
% 22.31/3.61 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 22.31/3.61 (age(v0, v2) = v3) | ~ (age(v0, v1) = v4) | ~ (greater(v3, v4) = 0) | ~
% 22.31/3.62 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: int] : ? [v6: $i] : ? [v7: $i] :
% 22.31/3.62 ? [v8: int] : ((v8 = 0 & internal_friction(v0, v2) = v6 &
% 22.31/3.62 internal_friction(v0, v1) = v7 & greater(v6, v7) = 0 & $i(v7) & $i(v6))
% 22.31/3.62 | ( ~ (v5 = 0) & organization(v0) = v5)))
% 22.31/3.62
% 22.31/3.62 (assumption_4)
% 22.50/3.64 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 22.50/3.64 any] : ( ~ (position(v0, v2) = v3) | ~ (position(v0, v1) = v4) | ~
% 22.50/3.64 (greater(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: int] :
% 22.50/3.64 ? [v7: int] : ? [v8: int] : ? [v9: $i] : ? [v10: $i] : ? [v11: int] : ?
% 22.50/3.64 [v12: int] : ? [v13: $i] : ? [v14: $i] : ? [v15: int] : ? [v16: int] :
% 22.50/3.64 ((v8 = 0 & has_immunity(v0, v2) = 0) | (v7 = 0 & has_immunity(v0, v1) = 0) |
% 22.50/3.64 ( ~ (v6 = 0) & organization(v0) = v6) | (( ~ (v4 = v3) | (v14 = v13 &
% 22.50/3.64 hazard_of_mortality(v0, v2) = v13 & hazard_of_mortality(v0, v1) =
% 22.50/3.64 v13 & $i(v13)) | ( ~ (v10 = v9) & capability(v0, v2) = v9 &
% 22.50/3.64 capability(v0, v1) = v10 & $i(v10) & $i(v9))) & ((v15 = 0 &
% 22.50/3.64 hazard_of_mortality(v0, v2) = v13 & hazard_of_mortality(v0, v1) =
% 22.50/3.64 v14 & smaller(v13, v14) = 0 & $i(v14) & $i(v13)) | (( ~ (v5 = 0) | (
% 22.50/3.64 ~ (v16 = 0) & capability(v0, v2) = v9 & capability(v0, v1) = v10
% 22.50/3.64 & greater_or_equal(v9, v10) = v16 & $i(v10) & $i(v9))) & (( ~
% 22.50/3.64 (v12 = 0) & greater_or_equal(v3, v4) = v12) | ( ~ (v11 = 0) &
% 22.50/3.64 capability(v0, v2) = v9 & capability(v0, v1) = v10 & greater(v9,
% 22.50/3.64 v10) = v11 & $i(v10) & $i(v9)))))))) & ! [v0: $i] : ! [v1:
% 22.50/3.64 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: any] : ( ~
% 22.50/3.64 (position(v0, v2) = v3) | ~ (position(v0, v1) = v4) | ~
% 22.50/3.64 (greater_or_equal(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 22.50/3.64 [v6: int] : ? [v7: int] : ? [v8: int] : ? [v9: $i] : ? [v10: $i] : ?
% 22.50/3.64 [v11: int] : ? [v12: $i] : ? [v13: $i] : ? [v14: int] : ? [v15: int] :
% 22.50/3.64 ? [v16: int] : ((v8 = 0 & has_immunity(v0, v2) = 0) | (v7 = 0 &
% 22.50/3.64 has_immunity(v0, v1) = 0) | ( ~ (v6 = 0) & organization(v0) = v6) | (( ~
% 22.50/3.64 (v4 = v3) | (v13 = v12 & hazard_of_mortality(v0, v2) = v12 &
% 22.50/3.64 hazard_of_mortality(v0, v1) = v12 & $i(v12)) | ( ~ (v10 = v9) &
% 22.50/3.64 capability(v0, v2) = v9 & capability(v0, v1) = v10 & $i(v10) &
% 22.50/3.64 $i(v9))) & ((v14 = 0 & hazard_of_mortality(v0, v2) = v12 &
% 22.50/3.64 hazard_of_mortality(v0, v1) = v13 & smaller(v12, v13) = 0 & $i(v13)
% 22.50/3.64 & $i(v12)) | (( ~ (v5 = 0) | ( ~ (v11 = 0) & capability(v0, v2) = v9
% 22.50/3.64 & capability(v0, v1) = v10 & greater(v9, v10) = v11 & $i(v10) &
% 22.50/3.64 $i(v9))) & (( ~ (v16 = 0) & greater(v3, v4) = v16) | ( ~ (v15 =
% 22.50/3.64 0) & capability(v0, v2) = v9 & capability(v0, v1) = v10 &
% 22.50/3.64 greater_or_equal(v9, v10) = v15 & $i(v10) & $i(v9)))))))) & !
% 22.50/3.64 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 22.50/3.64 any] : ( ~ (capability(v0, v2) = v3) | ~ (capability(v0, v1) = v4) | ~
% 22.50/3.64 (greater(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: int] :
% 22.50/3.64 ? [v7: int] : ? [v8: int] : ? [v9: $i] : ? [v10: $i] : ? [v11: int] : ?
% 22.50/3.64 [v12: $i] : ? [v13: $i] : ? [v14: int] : ? [v15: int] : ? [v16: int] :
% 22.50/3.64 ((v8 = 0 & has_immunity(v0, v2) = 0) | (v7 = 0 & has_immunity(v0, v1) = 0) |
% 22.50/3.64 ( ~ (v6 = 0) & organization(v0) = v6) | (( ~ (v4 = v3) | (v13 = v12 &
% 22.50/3.64 hazard_of_mortality(v0, v2) = v12 & hazard_of_mortality(v0, v1) =
% 22.50/3.64 v12 & $i(v12)) | ( ~ (v10 = v9) & position(v0, v2) = v9 &
% 22.50/3.64 position(v0, v1) = v10 & $i(v10) & $i(v9))) & ((v14 = 0 &
% 22.50/3.64 hazard_of_mortality(v0, v2) = v12 & hazard_of_mortality(v0, v1) =
% 22.50/3.64 v13 & smaller(v12, v13) = 0 & $i(v13) & $i(v12)) | (( ~ (v5 = 0) | (
% 22.50/3.64 ~ (v11 = 0) & position(v0, v2) = v9 & position(v0, v1) = v10 &
% 22.50/3.64 greater_or_equal(v9, v10) = v11 & $i(v10) & $i(v9))) & (( ~ (v16
% 22.50/3.64 = 0) & position(v0, v2) = v9 & position(v0, v1) = v10 &
% 22.50/3.64 greater(v9, v10) = v16 & $i(v10) & $i(v9)) | ( ~ (v15 = 0) &
% 22.50/3.64 greater_or_equal(v3, v4) = v15))))))) & ! [v0: $i] : ! [v1:
% 22.50/3.64 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: any] : ( ~
% 22.50/3.64 (capability(v0, v2) = v3) | ~ (capability(v0, v1) = v4) | ~
% 22.50/3.64 (greater_or_equal(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 22.50/3.64 [v6: int] : ? [v7: int] : ? [v8: int] : ? [v9: int] : ? [v10: $i] : ?
% 22.50/3.64 [v11: $i] : ? [v12: int] : ? [v13: $i] : ? [v14: $i] : ? [v15: int] : ?
% 22.50/3.64 [v16: int] : ((v8 = 0 & has_immunity(v0, v2) = 0) | (v7 = 0 &
% 22.50/3.64 has_immunity(v0, v1) = 0) | ( ~ (v6 = 0) & organization(v0) = v6) | (( ~
% 22.50/3.64 (v4 = v3) | (v14 = v13 & hazard_of_mortality(v0, v2) = v13 &
% 22.50/3.64 hazard_of_mortality(v0, v1) = v13 & $i(v13)) | ( ~ (v11 = v10) &
% 22.50/3.64 position(v0, v2) = v10 & position(v0, v1) = v11 & $i(v11) &
% 22.50/3.64 $i(v10))) & ((v15 = 0 & hazard_of_mortality(v0, v2) = v13 &
% 22.50/3.64 hazard_of_mortality(v0, v1) = v14 & smaller(v13, v14) = 0 & $i(v14)
% 22.50/3.64 & $i(v13)) | (( ~ (v5 = 0) | ( ~ (v16 = 0) & position(v0, v2) = v10
% 22.50/3.64 & position(v0, v1) = v11 & greater(v10, v11) = v16 & $i(v11) &
% 22.50/3.64 $i(v10))) & (( ~ (v12 = 0) & position(v0, v2) = v10 &
% 22.50/3.64 position(v0, v1) = v11 & greater_or_equal(v10, v11) = v12 &
% 22.50/3.64 $i(v11) & $i(v10)) | ( ~ (v9 = 0) & greater(v3, v4) = v9)))))))
% 22.50/3.64 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 22.50/3.64 [v5: any] : ( ~ (hazard_of_mortality(v0, v2) = v3) | ~
% 22.50/3.64 (hazard_of_mortality(v0, v1) = v4) | ~ (smaller(v3, v4) = v5) | ~ $i(v2) |
% 22.50/3.64 ~ $i(v1) | ~ $i(v0) | ? [v6: int] : ? [v7: int] : ? [v8: int] : ? [v9:
% 22.50/3.64 $i] : ? [v10: $i] : ? [v11: int] : ? [v12: $i] : ? [v13: $i] : ?
% 22.50/3.64 [v14: int] : ? [v15: int] : ? [v16: int] : ((v8 = 0 & has_immunity(v0, v2)
% 22.50/3.64 = 0) | (v7 = 0 & has_immunity(v0, v1) = 0) | ( ~ (v6 = 0) &
% 22.50/3.64 organization(v0) = v6) | ((v5 = 0 | ((( ~ (v16 = 0) & position(v0, v2) =
% 22.50/3.64 v12 & position(v0, v1) = v13 & greater(v12, v13) = v16 & $i(v13)
% 22.50/3.64 & $i(v12)) | ( ~ (v15 = 0) & capability(v0, v2) = v9 &
% 22.50/3.64 capability(v0, v1) = v10 & greater_or_equal(v9, v10) = v15 &
% 22.50/3.64 $i(v10) & $i(v9))) & (( ~ (v14 = 0) & position(v0, v2) = v12 &
% 22.50/3.64 position(v0, v1) = v13 & greater_or_equal(v12, v13) = v14 &
% 22.50/3.64 $i(v13) & $i(v12)) | ( ~ (v11 = 0) & capability(v0, v2) = v9 &
% 22.50/3.64 capability(v0, v1) = v10 & greater(v9, v10) = v11 & $i(v10) &
% 22.50/3.64 $i(v9))))) & (v4 = v3 | ( ~ (v13 = v12) & position(v0, v2) = v12
% 22.50/3.64 & position(v0, v1) = v13 & $i(v13) & $i(v12)) | ( ~ (v10 = v9) &
% 22.50/3.64 capability(v0, v2) = v9 & capability(v0, v1) = v10 & $i(v10) &
% 22.50/3.64 $i(v9))))))
% 22.50/3.64
% 22.50/3.64 (assumption_5)
% 22.50/3.65 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 22.50/3.65 any] : ( ~ (internal_friction(v0, v2) = v3) | ~ (internal_friction(v0, v1)
% 22.50/3.65 = v4) | ~ (greater(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 22.50/3.65 [v6: int] : ? [v7: $i] : ? [v8: $i] : ? [v9: int] : ? [v10: int] : ?
% 22.50/3.65 [v11: $i] : ? [v12: $i] : ? [v13: int] : ? [v14: int] : ? [v15: int] :
% 22.50/3.65 (( ~ (v6 = 0) & organization(v0) = v6) | (( ~ (v5 = 0) | (v15 = 0 &
% 22.50/3.65 capability(v0, v2) = v11 & capability(v0, v1) = v12 & smaller(v11,
% 22.50/3.65 v12) = 0 & $i(v12) & $i(v11)) | ( ~ (v14 = 0) &
% 22.50/3.65 stock_of_knowledge(v0, v2) = v7 & stock_of_knowledge(v0, v1) = v8 &
% 22.50/3.65 smaller_or_equal(v7, v8) = v14 & $i(v8) & $i(v7))) & ( ~ (v4 = v3) |
% 22.50/3.65 (v12 = v11 & capability(v0, v2) = v11 & capability(v0, v1) = v11 &
% 22.50/3.65 $i(v11)) | ( ~ (v8 = v7) & stock_of_knowledge(v0, v2) = v7 &
% 22.50/3.65 stock_of_knowledge(v0, v1) = v8 & $i(v8) & $i(v7))) & ((v13 = 0 &
% 22.50/3.65 capability(v0, v2) = v11 & capability(v0, v1) = v12 & greater(v11,
% 22.50/3.65 v12) = 0 & $i(v12) & $i(v11)) | ( ~ (v10 = 0) &
% 22.50/3.65 smaller_or_equal(v3, v4) = v10) | ( ~ (v9 = 0) &
% 22.50/3.65 stock_of_knowledge(v0, v2) = v7 & stock_of_knowledge(v0, v1) = v8 &
% 22.50/3.65 greater(v7, v8) = v9 & $i(v8) & $i(v7)))))) & ! [v0: $i] : ! [v1:
% 22.50/3.65 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: any] : ( ~
% 22.50/3.65 (internal_friction(v0, v2) = v3) | ~ (internal_friction(v0, v1) = v4) | ~
% 22.50/3.65 (smaller_or_equal(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 22.50/3.65 [v6: int] : ? [v7: $i] : ? [v8: $i] : ? [v9: int] : ? [v10: $i] : ?
% 22.50/3.65 [v11: $i] : ? [v12: int] : ? [v13: int] : ? [v14: int] : ? [v15: int] :
% 22.50/3.65 (( ~ (v6 = 0) & organization(v0) = v6) | (( ~ (v5 = 0) | (v12 = 0 &
% 22.50/3.65 capability(v0, v2) = v10 & capability(v0, v1) = v11 & greater(v10,
% 22.50/3.65 v11) = 0 & $i(v11) & $i(v10)) | ( ~ (v9 = 0) &
% 22.50/3.65 stock_of_knowledge(v0, v2) = v7 & stock_of_knowledge(v0, v1) = v8 &
% 22.50/3.65 greater(v7, v8) = v9 & $i(v8) & $i(v7))) & ( ~ (v4 = v3) | (v11 =
% 22.50/3.65 v10 & capability(v0, v2) = v10 & capability(v0, v1) = v10 & $i(v10))
% 22.50/3.65 | ( ~ (v8 = v7) & stock_of_knowledge(v0, v2) = v7 &
% 22.50/3.65 stock_of_knowledge(v0, v1) = v8 & $i(v8) & $i(v7))) & ((v15 = 0 &
% 22.50/3.65 capability(v0, v2) = v10 & capability(v0, v1) = v11 & smaller(v10,
% 22.50/3.65 v11) = 0 & $i(v11) & $i(v10)) | ( ~ (v14 = 0) & greater(v3, v4) =
% 22.50/3.65 v14) | ( ~ (v13 = 0) & stock_of_knowledge(v0, v2) = v7 &
% 22.50/3.65 stock_of_knowledge(v0, v1) = v8 & smaller_or_equal(v7, v8) = v13 &
% 22.50/3.65 $i(v8) & $i(v7)))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 22.50/3.65 [v3: $i] : ! [v4: $i] : ! [v5: any] : ( ~ (stock_of_knowledge(v0, v2) = v3)
% 22.50/3.65 | ~ (stock_of_knowledge(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ~
% 22.50/3.65 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: int] : ? [v7: $i] : ? [v8: $i] :
% 22.50/3.65 ? [v9: int] : ? [v10: $i] : ? [v11: $i] : ? [v12: int] : ? [v13: int] :
% 22.50/3.65 ? [v14: int] : ? [v15: int] : (( ~ (v6 = 0) & organization(v0) = v6) | (( ~
% 22.50/3.65 (v5 = 0) | (v12 = 0 & capability(v0, v2) = v10 & capability(v0, v1) =
% 22.50/3.65 v11 & greater(v10, v11) = 0 & $i(v11) & $i(v10)) | ( ~ (v9 = 0) &
% 22.50/3.65 internal_friction(v0, v2) = v7 & internal_friction(v0, v1) = v8 &
% 22.50/3.65 smaller_or_equal(v7, v8) = v9 & $i(v8) & $i(v7))) & ( ~ (v4 = v3) |
% 22.50/3.65 (v11 = v10 & capability(v0, v2) = v10 & capability(v0, v1) = v10 &
% 22.50/3.65 $i(v10)) | ( ~ (v8 = v7) & internal_friction(v0, v2) = v7 &
% 22.50/3.65 internal_friction(v0, v1) = v8 & $i(v8) & $i(v7))) & ((v15 = 0 &
% 22.50/3.65 capability(v0, v2) = v10 & capability(v0, v1) = v11 & smaller(v10,
% 22.50/3.65 v11) = 0 & $i(v11) & $i(v10)) | ( ~ (v14 = 0) &
% 22.50/3.65 internal_friction(v0, v2) = v7 & internal_friction(v0, v1) = v8 &
% 22.50/3.65 greater(v7, v8) = v14 & $i(v8) & $i(v7)) | ( ~ (v13 = 0) &
% 22.50/3.65 smaller_or_equal(v3, v4) = v13))))) & ! [v0: $i] : ! [v1: $i] : !
% 22.50/3.65 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: any] : ( ~
% 22.50/3.65 (stock_of_knowledge(v0, v2) = v3) | ~ (stock_of_knowledge(v0, v1) = v4) |
% 22.50/3.65 ~ (smaller_or_equal(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 22.50/3.65 [v6: int] : ? [v7: int] : ? [v8: $i] : ? [v9: $i] : ? [v10: int] : ?
% 22.50/3.65 [v11: $i] : ? [v12: $i] : ? [v13: int] : ? [v14: int] : ? [v15: int] :
% 22.50/3.65 (( ~ (v6 = 0) & organization(v0) = v6) | (( ~ (v5 = 0) | (v15 = 0 &
% 22.50/3.65 capability(v0, v2) = v11 & capability(v0, v1) = v12 & smaller(v11,
% 22.50/3.65 v12) = 0 & $i(v12) & $i(v11)) | ( ~ (v14 = 0) &
% 22.50/3.65 internal_friction(v0, v2) = v8 & internal_friction(v0, v1) = v9 &
% 22.50/3.65 greater(v8, v9) = v14 & $i(v9) & $i(v8))) & ( ~ (v4 = v3) | (v12 =
% 22.50/3.65 v11 & capability(v0, v2) = v11 & capability(v0, v1) = v11 & $i(v11))
% 22.50/3.65 | ( ~ (v9 = v8) & internal_friction(v0, v2) = v8 &
% 22.50/3.65 internal_friction(v0, v1) = v9 & $i(v9) & $i(v8))) & ((v13 = 0 &
% 22.50/3.65 capability(v0, v2) = v11 & capability(v0, v1) = v12 & greater(v11,
% 22.50/3.65 v12) = 0 & $i(v12) & $i(v11)) | ( ~ (v10 = 0) &
% 22.50/3.65 internal_friction(v0, v2) = v8 & internal_friction(v0, v1) = v9 &
% 22.50/3.65 smaller_or_equal(v8, v9) = v10 & $i(v9) & $i(v8)) | ( ~ (v7 = 0) &
% 22.50/3.65 greater(v3, v4) = v7))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 22.50/3.65 : ! [v3: $i] : ! [v4: $i] : ! [v5: any] : ( ~ (capability(v0, v2) = v3) |
% 22.50/3.65 ~ (capability(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ~ $i(v2) | ~
% 22.50/3.65 $i(v1) | ~ $i(v0) | ? [v6: int] : ? [v7: $i] : ? [v8: $i] : ? [v9: int]
% 22.50/3.65 : ? [v10: $i] : ? [v11: $i] : ? [v12: int] : ? [v13: int] : ? [v14:
% 22.50/3.65 int] : ? [v15: int] : (( ~ (v6 = 0) & organization(v0) = v6) | ((v5 = 0 |
% 22.50/3.65 ( ~ (v12 = 0) & internal_friction(v0, v2) = v10 &
% 22.50/3.65 internal_friction(v0, v1) = v11 & smaller_or_equal(v10, v11) = v12 &
% 22.50/3.65 $i(v11) & $i(v10)) | ( ~ (v9 = 0) & stock_of_knowledge(v0, v2) = v7
% 22.50/3.65 & stock_of_knowledge(v0, v1) = v8 & greater(v7, v8) = v9 & $i(v8) &
% 22.50/3.65 $i(v7))) & (v4 = v3 | ( ~ (v11 = v10) & internal_friction(v0, v2) =
% 22.50/3.65 v10 & internal_friction(v0, v1) = v11 & $i(v11) & $i(v10)) | ( ~ (v8
% 22.50/3.65 = v7) & stock_of_knowledge(v0, v2) = v7 & stock_of_knowledge(v0,
% 22.50/3.65 v1) = v8 & $i(v8) & $i(v7))) & ((v15 = 0 & smaller(v3, v4) = 0) |
% 22.50/3.65 ( ~ (v14 = 0) & internal_friction(v0, v2) = v10 &
% 22.50/3.65 internal_friction(v0, v1) = v11 & greater(v10, v11) = v14 & $i(v11)
% 22.50/3.65 & $i(v10)) | ( ~ (v13 = 0) & stock_of_knowledge(v0, v2) = v7 &
% 22.50/3.65 stock_of_knowledge(v0, v1) = v8 & smaller_or_equal(v7, v8) = v13 &
% 22.50/3.65 $i(v8) & $i(v7)))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 22.50/3.65 [v3: $i] : ! [v4: $i] : ! [v5: any] : ( ~ (capability(v0, v2) = v3) | ~
% 22.50/3.65 (capability(v0, v1) = v4) | ~ (smaller(v3, v4) = v5) | ~ $i(v2) | ~
% 22.50/3.65 $i(v1) | ~ $i(v0) | ? [v6: int] : ? [v7: $i] : ? [v8: $i] : ? [v9: int]
% 22.50/3.65 : ? [v10: $i] : ? [v11: $i] : ? [v12: int] : ? [v13: int] : ? [v14:
% 22.50/3.65 int] : ? [v15: int] : (( ~ (v6 = 0) & organization(v0) = v6) | ((v5 = 0 |
% 22.50/3.65 ( ~ (v15 = 0) & internal_friction(v0, v2) = v10 &
% 22.50/3.65 internal_friction(v0, v1) = v11 & greater(v10, v11) = v15 & $i(v11)
% 22.50/3.65 & $i(v10)) | ( ~ (v14 = 0) & stock_of_knowledge(v0, v2) = v7 &
% 22.50/3.65 stock_of_knowledge(v0, v1) = v8 & smaller_or_equal(v7, v8) = v14 &
% 22.50/3.65 $i(v8) & $i(v7))) & (v4 = v3 | ( ~ (v11 = v10) &
% 22.50/3.65 internal_friction(v0, v2) = v10 & internal_friction(v0, v1) = v11 &
% 22.50/3.65 $i(v11) & $i(v10)) | ( ~ (v8 = v7) & stock_of_knowledge(v0, v2) = v7
% 22.50/3.65 & stock_of_knowledge(v0, v1) = v8 & $i(v8) & $i(v7))) & ((v13 = 0 &
% 22.50/3.65 greater(v3, v4) = 0) | ( ~ (v12 = 0) & internal_friction(v0, v2) =
% 22.50/3.65 v10 & internal_friction(v0, v1) = v11 & smaller_or_equal(v10, v11) =
% 22.50/3.65 v12 & $i(v11) & $i(v10)) | ( ~ (v9 = 0) & stock_of_knowledge(v0, v2)
% 22.50/3.65 = v7 & stock_of_knowledge(v0, v1) = v8 & greater(v7, v8) = v9 &
% 22.50/3.65 $i(v8) & $i(v7))))))
% 22.50/3.65
% 22.50/3.65 (assumption_6)
% 22.50/3.66 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 22.50/3.66 any] : ( ~ (external_ties(v0, v2) = v3) | ~ (external_ties(v0, v1) = v4) |
% 22.50/3.66 ~ (greater(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: int]
% 22.50/3.66 : ? [v7: $i] : ? [v8: $i] : ? [v9: int] : (( ~ (v6 = 0) &
% 22.50/3.66 organization(v0) = v6) | (( ~ (v5 = 0) | (v9 = 0 & position(v0, v2) = v7
% 22.50/3.66 & position(v0, v1) = v8 & greater(v7, v8) = 0 & $i(v8) & $i(v7))) &
% 22.50/3.66 ( ~ (v4 = v3) | (v8 = v7 & position(v0, v2) = v7 & position(v0, v1) = v7
% 22.50/3.66 & $i(v7)))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 22.50/3.66 $i] : ! [v4: $i] : ! [v5: any] : ( ~ (position(v0, v2) = v3) | ~
% 22.50/3.66 (position(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1)
% 22.50/3.66 | ~ $i(v0) | ? [v6: int] : ? [v7: $i] : ? [v8: $i] : ? [v9: int] : (( ~
% 22.50/3.66 (v6 = 0) & organization(v0) = v6) | ((v5 = 0 | ( ~ (v9 = 0) &
% 22.50/3.66 external_ties(v0, v2) = v7 & external_ties(v0, v1) = v8 &
% 22.50/3.66 greater(v7, v8) = v9 & $i(v8) & $i(v7))) & (v4 = v3 | ( ~ (v8 = v7)
% 22.50/3.66 & external_ties(v0, v2) = v7 & external_ties(v0, v1) = v8 & $i(v8) &
% 22.50/3.66 $i(v7))))))
% 22.50/3.66
% 22.50/3.66 (definition_greater_or_equal)
% 22.50/3.66 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | v1 = v0 | ~ (greater(v0,
% 22.50/3.66 v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) &
% 22.50/3.66 greater_or_equal(v0, v1) = v3)) & ! [v0: $i] : ! [v1: $i] : ! [v2: int]
% 22.50/3.66 : (v2 = 0 | ~ (greater_or_equal(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ?
% 22.50/3.66 [v3: int] : ( ~ (v3 = 0) & greater(v0, v1) = v3)) & ! [v0: $i] : ! [v1:
% 22.50/3.66 $i] : (v1 = v0 | ~ (greater_or_equal(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) |
% 22.50/3.66 greater(v0, v1) = 0) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~
% 22.50/3.66 (greater_or_equal(v0, v0) = v1) | ~ $i(v0)) & ! [v0: $i] : ! [v1: $i] : (
% 22.50/3.66 ~ (greater(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | greater_or_equal(v0, v1) =
% 22.50/3.66 0) & ! [v0: $i] : ! [v1: MultipleValueBool] : ( ~ (greater(v0, v0) = v1) |
% 22.50/3.66 ~ $i(v0) | greater_or_equal(v0, v0) = 0)
% 22.50/3.66
% 22.50/3.66 (definition_smaller)
% 22.50/3.66 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (greater(v1, v0) = v2)
% 22.50/3.66 | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) & smaller(v0, v1) =
% 22.50/3.66 v3)) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 22.50/3.66 (smaller(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0)
% 22.50/3.66 & greater(v1, v0) = v3)) & ! [v0: $i] : ! [v1: $i] : ( ~ (greater(v1,
% 22.50/3.66 v0) = 0) | ~ $i(v1) | ~ $i(v0) | smaller(v0, v1) = 0) & ! [v0: $i] :
% 22.50/3.66 ! [v1: $i] : ( ~ (smaller(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | greater(v1,
% 22.50/3.66 v0) = 0)
% 22.50/3.66
% 22.50/3.66 (definition_smaller_or_equal)
% 22.50/3.66 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | v1 = v0 | ~ (smaller(v0,
% 22.50/3.66 v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) &
% 22.50/3.66 smaller_or_equal(v0, v1) = v3)) & ! [v0: $i] : ! [v1: $i] : ! [v2: int]
% 22.50/3.66 : (v2 = 0 | ~ (smaller_or_equal(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ?
% 22.50/3.66 [v3: int] : ( ~ (v3 = 0) & smaller(v0, v1) = v3)) & ! [v0: $i] : ! [v1:
% 22.50/3.66 $i] : (v1 = v0 | ~ (smaller_or_equal(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) |
% 22.50/3.66 smaller(v0, v1) = 0) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~
% 22.50/3.66 (smaller_or_equal(v0, v0) = v1) | ~ $i(v0)) & ! [v0: $i] : ! [v1: $i] : (
% 22.50/3.66 ~ (smaller(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | smaller_or_equal(v0, v1) =
% 22.50/3.66 0) & ! [v0: $i] : ! [v1: MultipleValueBool] : ( ~ (smaller(v0, v0) = v1) |
% 22.50/3.66 ~ $i(v0) | smaller_or_equal(v0, v0) = 0)
% 22.50/3.66
% 22.50/3.66 (theorem_3)
% 22.50/3.66 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: int] : ? [v4: $i] : ? [v5:
% 22.50/3.66 $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: int] : ( ~ (v8 = 0) & ~ (v3 = 0)
% 22.50/3.66 & age(v0, v2) = v4 & age(v0, v1) = v5 & hazard_of_mortality(v0, v2) = v6 &
% 22.50/3.66 hazard_of_mortality(v0, v1) = v7 & organization(v0) = 0 & has_endowment(v0)
% 22.50/3.66 = v3 & greater(v6, v7) = v8 & greater(v4, v5) = 0 & $i(v7) & $i(v6) & $i(v5)
% 22.50/3.66 & $i(v4) & $i(v2) & $i(v1) & $i(v0))
% 22.50/3.66
% 22.50/3.66 (function-axioms)
% 22.50/3.67 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (age(v3,
% 22.50/3.67 v2) = v1) | ~ (age(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 22.50/3.67 $i] : ! [v3: $i] : (v1 = v0 | ~ (external_ties(v3, v2) = v1) | ~
% 22.50/3.67 (external_ties(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 22.50/3.67 [v3: $i] : (v1 = v0 | ~ (internal_friction(v3, v2) = v1) | ~
% 22.50/3.67 (internal_friction(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 22.50/3.67 : ! [v3: $i] : (v1 = v0 | ~ (stock_of_knowledge(v3, v2) = v1) | ~
% 22.50/3.67 (stock_of_knowledge(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 22.50/3.67 : ! [v3: $i] : (v1 = v0 | ~ (position(v3, v2) = v1) | ~ (position(v3, v2) =
% 22.50/3.67 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 |
% 22.50/3.67 ~ (capability(v3, v2) = v1) | ~ (capability(v3, v2) = v0)) & ! [v0: $i] :
% 22.50/3.67 ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 22.50/3.67 (hazard_of_mortality(v3, v2) = v1) | ~ (hazard_of_mortality(v3, v2) = v0))
% 22.50/3.67 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 22.50/3.67 [v3: $i] : (v1 = v0 | ~ (has_immunity(v3, v2) = v1) | ~ (has_immunity(v3,
% 22.50/3.67 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 22.50/3.67 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (greater(v3, v2) = v1) | ~
% 22.50/3.67 (greater(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 22.50/3.67 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 22.50/3.67 (greater_or_equal(v3, v2) = v1) | ~ (greater_or_equal(v3, v2) = v0)) & !
% 22.50/3.67 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 22.50/3.67 $i] : (v1 = v0 | ~ (smaller(v3, v2) = v1) | ~ (smaller(v3, v2) = v0)) & !
% 22.50/3.67 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 22.50/3.67 $i] : (v1 = v0 | ~ (smaller_or_equal(v3, v2) = v1) | ~
% 22.50/3.67 (smaller_or_equal(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 22.50/3.67 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (organization(v2) = v1) |
% 22.50/3.67 ~ (organization(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 22.50/3.67 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (has_endowment(v2) = v1) |
% 22.50/3.67 ~ (has_endowment(v2) = v0))
% 22.50/3.67
% 22.50/3.67 Further assumptions not needed in the proof:
% 22.50/3.67 --------------------------------------------
% 22.50/3.67 meaning_postulate_greater_comparable, meaning_postulate_greater_strict,
% 22.50/3.67 meaning_postulate_greater_transitive
% 22.50/3.67
% 22.50/3.67 Those formulas are unsatisfiable:
% 22.50/3.67 ---------------------------------
% 22.50/3.67
% 22.50/3.67 Begin of proof
% 22.50/3.67 |
% 22.50/3.67 | ALPHA: (definition_smaller_or_equal) implies:
% 22.50/3.67 | (1) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (smaller_or_equal(v0, v0) =
% 22.50/3.67 | v1) | ~ $i(v0))
% 22.50/3.67 |
% 22.50/3.67 | ALPHA: (definition_greater_or_equal) implies:
% 22.50/3.67 | (2) ! [v0: $i] : ! [v1: $i] : ( ~ (greater(v0, v1) = 0) | ~ $i(v1) | ~
% 22.50/3.67 | $i(v0) | greater_or_equal(v0, v1) = 0)
% 22.50/3.67 | (3) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (greater_or_equal(v0, v0) =
% 22.50/3.67 | v1) | ~ $i(v0))
% 22.50/3.67 |
% 22.50/3.67 | ALPHA: (definition_smaller) implies:
% 22.50/3.67 | (4) ! [v0: $i] : ! [v1: $i] : ( ~ (smaller(v0, v1) = 0) | ~ $i(v1) | ~
% 22.50/3.67 | $i(v0) | greater(v1, v0) = 0)
% 22.50/3.67 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (greater(v1,
% 22.50/3.67 | v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) &
% 22.50/3.67 | smaller(v0, v1) = v3))
% 22.50/3.67 |
% 22.50/3.67 | ALPHA: (assumption_4) implies:
% 22.50/3.68 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 22.50/3.68 | ! [v5: any] : ( ~ (hazard_of_mortality(v0, v2) = v3) | ~
% 22.50/3.68 | (hazard_of_mortality(v0, v1) = v4) | ~ (smaller(v3, v4) = v5) | ~
% 22.50/3.68 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: int] : ? [v7: int] : ?
% 22.50/3.68 | [v8: int] : ? [v9: $i] : ? [v10: $i] : ? [v11: int] : ? [v12: $i]
% 22.50/3.68 | : ? [v13: $i] : ? [v14: int] : ? [v15: int] : ? [v16: int] : ((v8
% 22.50/3.68 | = 0 & has_immunity(v0, v2) = 0) | (v7 = 0 & has_immunity(v0, v1)
% 22.50/3.68 | = 0) | ( ~ (v6 = 0) & organization(v0) = v6) | ((v5 = 0 | ((( ~
% 22.50/3.68 | (v16 = 0) & position(v0, v2) = v12 & position(v0, v1) =
% 22.50/3.68 | v13 & greater(v12, v13) = v16 & $i(v13) & $i(v12)) | ( ~
% 22.50/3.68 | (v15 = 0) & capability(v0, v2) = v9 & capability(v0, v1)
% 22.50/3.68 | = v10 & greater_or_equal(v9, v10) = v15 & $i(v10) &
% 22.50/3.68 | $i(v9))) & (( ~ (v14 = 0) & position(v0, v2) = v12 &
% 22.50/3.68 | position(v0, v1) = v13 & greater_or_equal(v12, v13) = v14
% 22.50/3.68 | & $i(v13) & $i(v12)) | ( ~ (v11 = 0) & capability(v0, v2)
% 22.50/3.68 | = v9 & capability(v0, v1) = v10 & greater(v9, v10) = v11
% 22.50/3.68 | & $i(v10) & $i(v9))))) & (v4 = v3 | ( ~ (v13 = v12) &
% 22.50/3.68 | position(v0, v2) = v12 & position(v0, v1) = v13 & $i(v13) &
% 22.50/3.68 | $i(v12)) | ( ~ (v10 = v9) & capability(v0, v2) = v9 &
% 22.50/3.68 | capability(v0, v1) = v10 & $i(v10) & $i(v9))))))
% 22.50/3.68 |
% 22.50/3.68 | ALPHA: (assumption_5) implies:
% 22.50/3.68 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 22.50/3.68 | ! [v5: any] : ( ~ (internal_friction(v0, v2) = v3) | ~
% 22.50/3.68 | (internal_friction(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ~
% 22.50/3.68 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: int] : ? [v7: $i] : ? [v8:
% 22.50/3.68 | $i] : ? [v9: int] : ? [v10: int] : ? [v11: $i] : ? [v12: $i] :
% 22.50/3.68 | ? [v13: int] : ? [v14: int] : ? [v15: int] : (( ~ (v6 = 0) &
% 22.50/3.68 | organization(v0) = v6) | (( ~ (v5 = 0) | (v15 = 0 &
% 22.50/3.68 | capability(v0, v2) = v11 & capability(v0, v1) = v12 &
% 22.50/3.68 | smaller(v11, v12) = 0 & $i(v12) & $i(v11)) | ( ~ (v14 = 0) &
% 22.50/3.68 | stock_of_knowledge(v0, v2) = v7 & stock_of_knowledge(v0, v1)
% 22.50/3.68 | = v8 & smaller_or_equal(v7, v8) = v14 & $i(v8) & $i(v7))) & (
% 22.50/3.68 | ~ (v4 = v3) | (v12 = v11 & capability(v0, v2) = v11 &
% 22.50/3.68 | capability(v0, v1) = v11 & $i(v11)) | ( ~ (v8 = v7) &
% 22.50/3.68 | stock_of_knowledge(v0, v2) = v7 & stock_of_knowledge(v0, v1)
% 22.50/3.68 | = v8 & $i(v8) & $i(v7))) & ((v13 = 0 & capability(v0, v2) =
% 22.50/3.68 | v11 & capability(v0, v1) = v12 & greater(v11, v12) = 0 &
% 22.50/3.68 | $i(v12) & $i(v11)) | ( ~ (v10 = 0) & smaller_or_equal(v3, v4)
% 22.50/3.68 | = v10) | ( ~ (v9 = 0) & stock_of_knowledge(v0, v2) = v7 &
% 22.50/3.68 | stock_of_knowledge(v0, v1) = v8 & greater(v7, v8) = v9 &
% 22.50/3.68 | $i(v8) & $i(v7))))))
% 22.50/3.68 |
% 22.50/3.68 | ALPHA: (assumption_6) implies:
% 22.50/3.68 | (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 22.50/3.68 | ! [v5: any] : ( ~ (position(v0, v2) = v3) | ~ (position(v0, v1) = v4)
% 22.50/3.68 | | ~ (greater(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 22.50/3.68 | [v6: int] : ? [v7: $i] : ? [v8: $i] : ? [v9: int] : (( ~ (v6 = 0)
% 22.50/3.68 | & organization(v0) = v6) | ((v5 = 0 | ( ~ (v9 = 0) &
% 22.50/3.68 | external_ties(v0, v2) = v7 & external_ties(v0, v1) = v8 &
% 22.50/3.68 | greater(v7, v8) = v9 & $i(v8) & $i(v7))) & (v4 = v3 | ( ~ (v8
% 22.50/3.68 | = v7) & external_ties(v0, v2) = v7 & external_ties(v0, v1)
% 22.50/3.68 | = v8 & $i(v8) & $i(v7))))))
% 22.50/3.68 |
% 22.50/3.68 | ALPHA: (assumption_12) implies:
% 22.50/3.68 | (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (
% 22.50/3.68 | ~ (age(v0, v2) = v3) | ~ (age(v0, v1) = v4) | ~ (greater(v3, v4) =
% 22.50/3.68 | 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: int] : ? [v6: $i]
% 22.50/3.68 | : ? [v7: $i] : ? [v8: int] : ((v8 = 0 & internal_friction(v0, v2) =
% 22.50/3.68 | v6 & internal_friction(v0, v1) = v7 & greater(v6, v7) = 0 &
% 22.50/3.68 | $i(v7) & $i(v6)) | ( ~ (v5 = 0) & organization(v0) = v5)))
% 22.50/3.68 |
% 22.50/3.68 | ALPHA: (function-axioms) implies:
% 22.50/3.68 | (10) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 22.50/3.68 | : (v1 = v0 | ~ (has_endowment(v2) = v1) | ~ (has_endowment(v2) =
% 22.50/3.68 | v0))
% 22.50/3.68 | (11) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 22.50/3.68 | : (v1 = v0 | ~ (organization(v2) = v1) | ~ (organization(v2) = v0))
% 22.50/3.68 | (12) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 22.50/3.68 | : ! [v3: $i] : (v1 = v0 | ~ (greater_or_equal(v3, v2) = v1) | ~
% 22.50/3.68 | (greater_or_equal(v3, v2) = v0))
% 22.50/3.68 | (13) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 22.50/3.68 | : ! [v3: $i] : (v1 = v0 | ~ (greater(v3, v2) = v1) | ~ (greater(v3,
% 22.50/3.68 | v2) = v0))
% 22.50/3.68 | (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 22.50/3.68 | (capability(v3, v2) = v1) | ~ (capability(v3, v2) = v0))
% 22.50/3.68 |
% 22.50/3.68 | DELTA: instantiating (theorem_3) with fresh symbols all_16_0, all_16_1,
% 22.50/3.68 | all_16_2, all_16_3, all_16_4, all_16_5, all_16_6, all_16_7, all_16_8
% 22.50/3.68 | gives:
% 22.50/3.68 | (15) ~ (all_16_0 = 0) & ~ (all_16_5 = 0) & age(all_16_8, all_16_6) =
% 22.50/3.68 | all_16_4 & age(all_16_8, all_16_7) = all_16_3 &
% 22.50/3.68 | hazard_of_mortality(all_16_8, all_16_6) = all_16_2 &
% 22.50/3.68 | hazard_of_mortality(all_16_8, all_16_7) = all_16_1 &
% 22.50/3.68 | organization(all_16_8) = 0 & has_endowment(all_16_8) = all_16_5 &
% 22.50/3.68 | greater(all_16_2, all_16_1) = all_16_0 & greater(all_16_4, all_16_3) =
% 22.50/3.68 | 0 & $i(all_16_1) & $i(all_16_2) & $i(all_16_3) & $i(all_16_4) &
% 22.50/3.68 | $i(all_16_6) & $i(all_16_7) & $i(all_16_8)
% 22.50/3.68 |
% 22.50/3.68 | ALPHA: (15) implies:
% 22.50/3.69 | (16) ~ (all_16_5 = 0)
% 22.50/3.69 | (17) ~ (all_16_0 = 0)
% 22.50/3.69 | (18) $i(all_16_8)
% 22.50/3.69 | (19) $i(all_16_7)
% 22.50/3.69 | (20) $i(all_16_6)
% 22.50/3.69 | (21) $i(all_16_2)
% 22.50/3.69 | (22) $i(all_16_1)
% 22.50/3.69 | (23) greater(all_16_4, all_16_3) = 0
% 22.50/3.69 | (24) greater(all_16_2, all_16_1) = all_16_0
% 22.50/3.69 | (25) has_endowment(all_16_8) = all_16_5
% 22.50/3.69 | (26) organization(all_16_8) = 0
% 22.50/3.69 | (27) hazard_of_mortality(all_16_8, all_16_7) = all_16_1
% 22.50/3.69 | (28) hazard_of_mortality(all_16_8, all_16_6) = all_16_2
% 22.50/3.69 | (29) age(all_16_8, all_16_7) = all_16_3
% 22.50/3.69 | (30) age(all_16_8, all_16_6) = all_16_4
% 22.50/3.69 |
% 22.50/3.69 | GROUND_INST: instantiating (5) with all_16_1, all_16_2, all_16_0, simplifying
% 22.50/3.69 | with (21), (22), (24) gives:
% 22.50/3.69 | (31) all_16_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) & smaller(all_16_1,
% 22.50/3.69 | all_16_2) = v0)
% 22.50/3.69 |
% 22.50/3.69 | GROUND_INST: instantiating (9) with all_16_8, all_16_7, all_16_6, all_16_4,
% 22.50/3.69 | all_16_3, simplifying with (18), (19), (20), (23), (29), (30)
% 22.50/3.69 | gives:
% 22.50/3.69 | (32) ? [v0: int] : ? [v1: $i] : ? [v2: $i] : ? [v3: int] : ((v3 = 0 &
% 22.50/3.69 | internal_friction(all_16_8, all_16_6) = v1 &
% 22.50/3.69 | internal_friction(all_16_8, all_16_7) = v2 & greater(v1, v2) = 0 &
% 22.50/3.69 | $i(v2) & $i(v1)) | ( ~ (v0 = 0) & organization(all_16_8) = v0))
% 22.50/3.69 |
% 22.50/3.69 | DELTA: instantiating (32) with fresh symbols all_26_0, all_26_1, all_26_2,
% 22.50/3.69 | all_26_3 gives:
% 22.50/3.69 | (33) (all_26_0 = 0 & internal_friction(all_16_8, all_16_6) = all_26_2 &
% 22.50/3.69 | internal_friction(all_16_8, all_16_7) = all_26_1 & greater(all_26_2,
% 22.50/3.69 | all_26_1) = 0 & $i(all_26_1) & $i(all_26_2)) | ( ~ (all_26_3 = 0)
% 22.50/3.69 | & organization(all_16_8) = all_26_3)
% 22.50/3.69 |
% 22.50/3.69 | BETA: splitting (33) gives:
% 22.50/3.69 |
% 22.50/3.69 | Case 1:
% 22.50/3.69 | |
% 22.50/3.69 | | (34) all_26_0 = 0 & internal_friction(all_16_8, all_16_6) = all_26_2 &
% 22.50/3.69 | | internal_friction(all_16_8, all_16_7) = all_26_1 & greater(all_26_2,
% 22.50/3.69 | | all_26_1) = 0 & $i(all_26_1) & $i(all_26_2)
% 22.50/3.69 | |
% 22.50/3.69 | | ALPHA: (34) implies:
% 22.50/3.69 | | (35) greater(all_26_2, all_26_1) = 0
% 22.50/3.69 | | (36) internal_friction(all_16_8, all_16_7) = all_26_1
% 22.50/3.69 | | (37) internal_friction(all_16_8, all_16_6) = all_26_2
% 22.50/3.69 | |
% 22.50/3.69 | | BETA: splitting (31) gives:
% 22.50/3.69 | |
% 22.50/3.69 | | Case 1:
% 22.50/3.69 | | |
% 22.50/3.69 | | | (38) all_16_0 = 0
% 22.50/3.69 | | |
% 22.50/3.69 | | | REDUCE: (17), (38) imply:
% 22.50/3.69 | | | (39) $false
% 22.50/3.69 | | |
% 22.50/3.69 | | | CLOSE: (39) is inconsistent.
% 22.50/3.69 | | |
% 22.50/3.69 | | Case 2:
% 22.50/3.69 | | |
% 22.50/3.69 | | | (40) ? [v0: int] : ( ~ (v0 = 0) & smaller(all_16_1, all_16_2) = v0)
% 22.50/3.69 | | |
% 22.50/3.69 | | | DELTA: instantiating (40) with fresh symbol all_35_0 gives:
% 22.50/3.69 | | | (41) ~ (all_35_0 = 0) & smaller(all_16_1, all_16_2) = all_35_0
% 22.50/3.69 | | |
% 22.50/3.69 | | | ALPHA: (41) implies:
% 22.50/3.69 | | | (42) ~ (all_35_0 = 0)
% 22.50/3.69 | | | (43) smaller(all_16_1, all_16_2) = all_35_0
% 22.50/3.69 | | |
% 22.50/3.69 | | | GROUND_INST: instantiating (6) with all_16_8, all_16_6, all_16_7,
% 22.50/3.69 | | | all_16_1, all_16_2, all_35_0, simplifying with (18), (19),
% 22.50/3.69 | | | (20), (27), (28), (43) gives:
% 22.50/3.69 | | | (44) ? [v0: int] : ? [v1: int] : ? [v2: int] : ? [v3: $i] : ? [v4:
% 22.50/3.69 | | | $i] : ? [v5: int] : ? [v6: $i] : ? [v7: $i] : ? [v8: int] :
% 22.50/3.69 | | | ? [v9: int] : ? [v10: int] : ((v2 = 0 & has_immunity(all_16_8,
% 22.50/3.69 | | | all_16_7) = 0) | (v1 = 0 & has_immunity(all_16_8, all_16_6)
% 22.50/3.69 | | | = 0) | ( ~ (v0 = 0) & organization(all_16_8) = v0) |
% 22.50/3.69 | | | ((all_35_0 = 0 | ((( ~ (v10 = 0) & position(all_16_8, all_16_6)
% 22.50/3.69 | | | = v7 & position(all_16_8, all_16_7) = v6 & greater(v6,
% 22.50/3.69 | | | v7) = v10 & $i(v7) & $i(v6)) | ( ~ (v9 = 0) &
% 22.50/3.69 | | | capability(all_16_8, all_16_6) = v4 &
% 22.50/3.69 | | | capability(all_16_8, all_16_7) = v3 &
% 22.50/3.69 | | | greater_or_equal(v3, v4) = v9 & $i(v4) & $i(v3))) & ((
% 22.50/3.69 | | | ~ (v8 = 0) & position(all_16_8, all_16_6) = v7 &
% 22.50/3.69 | | | position(all_16_8, all_16_7) = v6 &
% 22.50/3.69 | | | greater_or_equal(v6, v7) = v8 & $i(v7) & $i(v6)) | ( ~
% 22.50/3.69 | | | (v5 = 0) & capability(all_16_8, all_16_6) = v4 &
% 22.50/3.69 | | | capability(all_16_8, all_16_7) = v3 & greater(v3, v4)
% 22.50/3.69 | | | = v5 & $i(v4) & $i(v3))))) & (all_16_1 = all_16_2 | (
% 22.50/3.69 | | | ~ (v7 = v6) & position(all_16_8, all_16_6) = v7 &
% 22.50/3.69 | | | position(all_16_8, all_16_7) = v6 & $i(v7) & $i(v6)) | ( ~
% 22.50/3.69 | | | (v4 = v3) & capability(all_16_8, all_16_6) = v4 &
% 22.50/3.69 | | | capability(all_16_8, all_16_7) = v3 & $i(v4) & $i(v3)))))
% 22.50/3.70 | | |
% 22.50/3.70 | | | GROUND_INST: instantiating (7) with all_16_8, all_16_7, all_16_6,
% 22.50/3.70 | | | all_26_2, all_26_1, 0, simplifying with (18), (19), (20),
% 22.50/3.70 | | | (35), (36), (37) gives:
% 22.50/3.70 | | | (45) ? [v0: int] : ? [v1: $i] : ? [v2: $i] : ? [v3: int] : ? [v4:
% 22.50/3.70 | | | int] : ? [v5: $i] : ? [v6: $i] : ? [v7: int] : ? [v8: int] :
% 22.50/3.70 | | | ? [v9: int] : (( ~ (v0 = 0) & organization(all_16_8) = v0) | (( ~
% 22.50/3.70 | | | (all_26_1 = all_26_2) | (v6 = v5 & capability(all_16_8,
% 22.50/3.70 | | | all_16_6) = v5 & capability(all_16_8, all_16_7) = v5 &
% 22.50/3.70 | | | $i(v5)) | ( ~ (v2 = v1) & stock_of_knowledge(all_16_8,
% 22.50/3.70 | | | all_16_6) = v1 & stock_of_knowledge(all_16_8, all_16_7)
% 22.50/3.70 | | | = v2 & $i(v2) & $i(v1))) & ((v9 = 0 & capability(all_16_8,
% 22.50/3.70 | | | all_16_6) = v5 & capability(all_16_8, all_16_7) = v6 &
% 22.50/3.70 | | | smaller(v5, v6) = 0 & $i(v6) & $i(v5)) | ( ~ (v8 = 0) &
% 22.50/3.70 | | | stock_of_knowledge(all_16_8, all_16_6) = v1 &
% 22.50/3.70 | | | stock_of_knowledge(all_16_8, all_16_7) = v2 &
% 22.50/3.70 | | | smaller_or_equal(v1, v2) = v8 & $i(v2) & $i(v1))) & ((v7 =
% 22.50/3.70 | | | 0 & capability(all_16_8, all_16_6) = v5 &
% 22.50/3.70 | | | capability(all_16_8, all_16_7) = v6 & greater(v5, v6) = 0
% 22.50/3.70 | | | & $i(v6) & $i(v5)) | ( ~ (v4 = 0) &
% 22.50/3.70 | | | smaller_or_equal(all_26_2, all_26_1) = v4) | ( ~ (v3 = 0)
% 22.50/3.70 | | | & stock_of_knowledge(all_16_8, all_16_6) = v1 &
% 22.50/3.70 | | | stock_of_knowledge(all_16_8, all_16_7) = v2 & greater(v1,
% 22.50/3.70 | | | v2) = v3 & $i(v2) & $i(v1)))))
% 22.50/3.70 | | |
% 22.50/3.70 | | | DELTA: instantiating (45) with fresh symbols all_45_0, all_45_1, all_45_2,
% 22.50/3.70 | | | all_45_3, all_45_4, all_45_5, all_45_6, all_45_7, all_45_8,
% 22.50/3.70 | | | all_45_9 gives:
% 22.50/3.70 | | | (46) ( ~ (all_45_9 = 0) & organization(all_16_8) = all_45_9) | (( ~
% 22.50/3.70 | | | (all_26_1 = all_26_2) | (all_45_3 = all_45_4 &
% 22.50/3.70 | | | capability(all_16_8, all_16_6) = all_45_4 &
% 22.50/3.70 | | | capability(all_16_8, all_16_7) = all_45_4 & $i(all_45_4)) |
% 22.50/3.70 | | | ( ~ (all_45_7 = all_45_8) & stock_of_knowledge(all_16_8,
% 22.50/3.70 | | | all_16_6) = all_45_8 & stock_of_knowledge(all_16_8,
% 22.50/3.70 | | | all_16_7) = all_45_7 & $i(all_45_7) & $i(all_45_8))) &
% 22.50/3.70 | | | ((all_45_0 = 0 & capability(all_16_8, all_16_6) = all_45_4 &
% 22.50/3.70 | | | capability(all_16_8, all_16_7) = all_45_3 &
% 22.50/3.70 | | | smaller(all_45_4, all_45_3) = 0 & $i(all_45_3) &
% 22.50/3.70 | | | $i(all_45_4)) | ( ~ (all_45_1 = 0) &
% 22.50/3.70 | | | stock_of_knowledge(all_16_8, all_16_6) = all_45_8 &
% 22.50/3.70 | | | stock_of_knowledge(all_16_8, all_16_7) = all_45_7 &
% 22.50/3.70 | | | smaller_or_equal(all_45_8, all_45_7) = all_45_1 &
% 22.50/3.70 | | | $i(all_45_7) & $i(all_45_8))) & ((all_45_2 = 0 &
% 22.50/3.70 | | | capability(all_16_8, all_16_6) = all_45_4 &
% 22.50/3.70 | | | capability(all_16_8, all_16_7) = all_45_3 &
% 22.50/3.70 | | | greater(all_45_4, all_45_3) = 0 & $i(all_45_3) &
% 22.50/3.70 | | | $i(all_45_4)) | ( ~ (all_45_5 = 0) &
% 22.50/3.70 | | | smaller_or_equal(all_26_2, all_26_1) = all_45_5) | ( ~
% 22.50/3.70 | | | (all_45_6 = 0) & stock_of_knowledge(all_16_8, all_16_6) =
% 22.50/3.70 | | | all_45_8 & stock_of_knowledge(all_16_8, all_16_7) = all_45_7
% 22.50/3.70 | | | & greater(all_45_8, all_45_7) = all_45_6 & $i(all_45_7) &
% 22.50/3.70 | | | $i(all_45_8))))
% 22.50/3.70 | | |
% 22.50/3.70 | | | DELTA: instantiating (44) with fresh symbols all_46_0, all_46_1, all_46_2,
% 22.50/3.70 | | | all_46_3, all_46_4, all_46_5, all_46_6, all_46_7, all_46_8,
% 22.50/3.70 | | | all_46_9, all_46_10 gives:
% 22.50/3.70 | | | (47) (all_46_8 = 0 & has_immunity(all_16_8, all_16_7) = 0) | (all_46_9
% 22.50/3.70 | | | = 0 & has_immunity(all_16_8, all_16_6) = 0) | ( ~ (all_46_10 =
% 22.50/3.70 | | | 0) & organization(all_16_8) = all_46_10) | ((all_35_0 = 0 |
% 22.50/3.70 | | | ((( ~ (all_46_0 = 0) & position(all_16_8, all_16_6) = all_46_3
% 22.50/3.70 | | | & position(all_16_8, all_16_7) = all_46_4 &
% 22.50/3.70 | | | greater(all_46_4, all_46_3) = all_46_0 & $i(all_46_3) &
% 22.50/3.70 | | | $i(all_46_4)) | ( ~ (all_46_1 = 0) &
% 22.50/3.70 | | | capability(all_16_8, all_16_6) = all_46_6 &
% 22.50/3.70 | | | capability(all_16_8, all_16_7) = all_46_7 &
% 22.50/3.70 | | | greater_or_equal(all_46_7, all_46_6) = all_46_1 &
% 22.50/3.70 | | | $i(all_46_6) & $i(all_46_7))) & (( ~ (all_46_2 = 0) &
% 22.50/3.70 | | | position(all_16_8, all_16_6) = all_46_3 &
% 22.50/3.70 | | | position(all_16_8, all_16_7) = all_46_4 &
% 22.50/3.70 | | | greater_or_equal(all_46_4, all_46_3) = all_46_2 &
% 22.50/3.70 | | | $i(all_46_3) & $i(all_46_4)) | ( ~ (all_46_5 = 0) &
% 22.50/3.70 | | | capability(all_16_8, all_16_6) = all_46_6 &
% 22.50/3.70 | | | capability(all_16_8, all_16_7) = all_46_7 &
% 22.50/3.70 | | | greater(all_46_7, all_46_6) = all_46_5 & $i(all_46_6) &
% 22.50/3.70 | | | $i(all_46_7))))) & (all_16_1 = all_16_2 | ( ~ (all_46_3
% 22.50/3.70 | | | = all_46_4) & position(all_16_8, all_16_6) = all_46_3 &
% 22.50/3.70 | | | position(all_16_8, all_16_7) = all_46_4 & $i(all_46_3) &
% 22.50/3.70 | | | $i(all_46_4)) | ( ~ (all_46_6 = all_46_7) &
% 22.50/3.70 | | | capability(all_16_8, all_16_6) = all_46_6 &
% 22.50/3.70 | | | capability(all_16_8, all_16_7) = all_46_7 & $i(all_46_6) &
% 22.50/3.70 | | | $i(all_46_7))))
% 22.50/3.70 | | |
% 22.50/3.70 | | | BETA: splitting (46) gives:
% 22.50/3.70 | | |
% 22.50/3.70 | | | Case 1:
% 22.50/3.70 | | | |
% 22.50/3.70 | | | | (48) ~ (all_45_9 = 0) & organization(all_16_8) = all_45_9
% 22.50/3.70 | | | |
% 22.50/3.70 | | | | ALPHA: (48) implies:
% 22.50/3.70 | | | | (49) ~ (all_45_9 = 0)
% 22.50/3.70 | | | | (50) organization(all_16_8) = all_45_9
% 22.50/3.70 | | | |
% 22.50/3.70 | | | | GROUND_INST: instantiating (11) with 0, all_45_9, all_16_8, simplifying
% 22.50/3.70 | | | | with (26), (50) gives:
% 22.85/3.70 | | | | (51) all_45_9 = 0
% 22.85/3.70 | | | |
% 22.85/3.70 | | | | REDUCE: (49), (51) imply:
% 22.85/3.70 | | | | (52) $false
% 22.85/3.70 | | | |
% 22.85/3.70 | | | | CLOSE: (52) is inconsistent.
% 22.85/3.70 | | | |
% 22.85/3.70 | | | Case 2:
% 22.85/3.70 | | | |
% 22.85/3.70 | | | | (53) ( ~ (all_26_1 = all_26_2) | (all_45_3 = all_45_4 &
% 22.85/3.70 | | | | capability(all_16_8, all_16_6) = all_45_4 &
% 22.85/3.70 | | | | capability(all_16_8, all_16_7) = all_45_4 & $i(all_45_4)) |
% 22.85/3.70 | | | | ( ~ (all_45_7 = all_45_8) & stock_of_knowledge(all_16_8,
% 22.85/3.70 | | | | all_16_6) = all_45_8 & stock_of_knowledge(all_16_8,
% 22.85/3.70 | | | | all_16_7) = all_45_7 & $i(all_45_7) & $i(all_45_8))) &
% 22.85/3.70 | | | | ((all_45_0 = 0 & capability(all_16_8, all_16_6) = all_45_4 &
% 22.85/3.70 | | | | capability(all_16_8, all_16_7) = all_45_3 &
% 22.85/3.70 | | | | smaller(all_45_4, all_45_3) = 0 & $i(all_45_3) &
% 22.85/3.70 | | | | $i(all_45_4)) | ( ~ (all_45_1 = 0) &
% 22.85/3.70 | | | | stock_of_knowledge(all_16_8, all_16_6) = all_45_8 &
% 22.85/3.70 | | | | stock_of_knowledge(all_16_8, all_16_7) = all_45_7 &
% 22.85/3.70 | | | | smaller_or_equal(all_45_8, all_45_7) = all_45_1 &
% 22.85/3.70 | | | | $i(all_45_7) & $i(all_45_8))) & ((all_45_2 = 0 &
% 22.85/3.70 | | | | capability(all_16_8, all_16_6) = all_45_4 &
% 22.85/3.70 | | | | capability(all_16_8, all_16_7) = all_45_3 &
% 22.85/3.70 | | | | greater(all_45_4, all_45_3) = 0 & $i(all_45_3) &
% 22.85/3.70 | | | | $i(all_45_4)) | ( ~ (all_45_5 = 0) &
% 22.85/3.70 | | | | smaller_or_equal(all_26_2, all_26_1) = all_45_5) | ( ~
% 22.85/3.70 | | | | (all_45_6 = 0) & stock_of_knowledge(all_16_8, all_16_6) =
% 22.85/3.70 | | | | all_45_8 & stock_of_knowledge(all_16_8, all_16_7) = all_45_7
% 22.85/3.70 | | | | & greater(all_45_8, all_45_7) = all_45_6 & $i(all_45_7) &
% 22.85/3.70 | | | | $i(all_45_8)))
% 22.85/3.70 | | | |
% 22.85/3.70 | | | | ALPHA: (53) implies:
% 22.85/3.70 | | | | (54) (all_45_0 = 0 & capability(all_16_8, all_16_6) = all_45_4 &
% 22.85/3.70 | | | | capability(all_16_8, all_16_7) = all_45_3 & smaller(all_45_4,
% 22.85/3.70 | | | | all_45_3) = 0 & $i(all_45_3) & $i(all_45_4)) | ( ~ (all_45_1
% 22.85/3.70 | | | | = 0) & stock_of_knowledge(all_16_8, all_16_6) = all_45_8 &
% 22.85/3.70 | | | | stock_of_knowledge(all_16_8, all_16_7) = all_45_7 &
% 22.85/3.70 | | | | smaller_or_equal(all_45_8, all_45_7) = all_45_1 & $i(all_45_7)
% 22.85/3.70 | | | | & $i(all_45_8))
% 22.85/3.70 | | | |
% 22.85/3.70 | | | | BETA: splitting (47) gives:
% 22.85/3.70 | | | |
% 22.85/3.70 | | | | Case 1:
% 22.85/3.70 | | | | |
% 22.85/3.70 | | | | | (55) (all_46_8 = 0 & has_immunity(all_16_8, all_16_7) = 0) |
% 22.85/3.70 | | | | | (all_46_9 = 0 & has_immunity(all_16_8, all_16_6) = 0)
% 22.85/3.70 | | | | |
% 22.85/3.70 | | | | | BETA: splitting (55) gives:
% 22.85/3.70 | | | | |
% 22.85/3.70 | | | | | Case 1:
% 22.85/3.70 | | | | | |
% 22.85/3.70 | | | | | | (56) all_46_8 = 0 & has_immunity(all_16_8, all_16_7) = 0
% 22.85/3.70 | | | | | |
% 22.85/3.70 | | | | | | ALPHA: (56) implies:
% 22.85/3.70 | | | | | | (57) has_immunity(all_16_8, all_16_7) = 0
% 22.85/3.70 | | | | | |
% 22.85/3.70 | | | | | | GROUND_INST: instantiating (assumption_1) with all_16_8, all_16_7,
% 22.85/3.70 | | | | | | simplifying with (18), (19), (57) gives:
% 22.85/3.70 | | | | | | (58) ? [v0: int] : ? [v1: int] : ((v1 = 0 &
% 22.85/3.70 | | | | | | has_endowment(all_16_8) = 0) | ( ~ (v0 = 0) &
% 22.85/3.70 | | | | | | organization(all_16_8) = v0))
% 22.85/3.70 | | | | | |
% 22.85/3.70 | | | | | | DELTA: instantiating (58) with fresh symbols all_121_0, all_121_1
% 22.85/3.70 | | | | | | gives:
% 22.85/3.70 | | | | | | (59) (all_121_0 = 0 & has_endowment(all_16_8) = 0) | ( ~
% 22.85/3.70 | | | | | | (all_121_1 = 0) & organization(all_16_8) = all_121_1)
% 22.85/3.70 | | | | | |
% 22.85/3.70 | | | | | | BETA: splitting (59) gives:
% 22.85/3.70 | | | | | |
% 22.85/3.70 | | | | | | Case 1:
% 22.85/3.70 | | | | | | |
% 22.85/3.70 | | | | | | | (60) all_121_0 = 0 & has_endowment(all_16_8) = 0
% 22.85/3.70 | | | | | | |
% 22.85/3.70 | | | | | | | ALPHA: (60) implies:
% 22.85/3.70 | | | | | | | (61) has_endowment(all_16_8) = 0
% 22.85/3.70 | | | | | | |
% 22.85/3.70 | | | | | | | GROUND_INST: instantiating (10) with all_16_5, 0, all_16_8,
% 22.85/3.70 | | | | | | | simplifying with (25), (61) gives:
% 22.85/3.70 | | | | | | | (62) all_16_5 = 0
% 22.85/3.70 | | | | | | |
% 22.85/3.70 | | | | | | | REDUCE: (16), (62) imply:
% 22.85/3.70 | | | | | | | (63) $false
% 22.85/3.70 | | | | | | |
% 22.85/3.70 | | | | | | | CLOSE: (63) is inconsistent.
% 22.85/3.70 | | | | | | |
% 22.85/3.70 | | | | | | Case 2:
% 22.85/3.70 | | | | | | |
% 22.85/3.70 | | | | | | | (64) ~ (all_121_1 = 0) & organization(all_16_8) = all_121_1
% 22.85/3.70 | | | | | | |
% 22.85/3.70 | | | | | | | ALPHA: (64) implies:
% 22.85/3.70 | | | | | | | (65) ~ (all_121_1 = 0)
% 22.85/3.71 | | | | | | | (66) organization(all_16_8) = all_121_1
% 22.85/3.71 | | | | | | |
% 22.85/3.71 | | | | | | | GROUND_INST: instantiating (11) with 0, all_121_1, all_16_8,
% 22.85/3.71 | | | | | | | simplifying with (26), (66) gives:
% 22.85/3.71 | | | | | | | (67) all_121_1 = 0
% 22.85/3.71 | | | | | | |
% 22.85/3.71 | | | | | | | REDUCE: (65), (67) imply:
% 22.85/3.71 | | | | | | | (68) $false
% 22.85/3.71 | | | | | | |
% 22.85/3.71 | | | | | | | CLOSE: (68) is inconsistent.
% 22.85/3.71 | | | | | | |
% 22.85/3.71 | | | | | | End of split
% 22.85/3.71 | | | | | |
% 22.85/3.71 | | | | | Case 2:
% 22.85/3.71 | | | | | |
% 22.85/3.71 | | | | | | (69) all_46_9 = 0 & has_immunity(all_16_8, all_16_6) = 0
% 22.85/3.71 | | | | | |
% 22.85/3.71 | | | | | | ALPHA: (69) implies:
% 22.85/3.71 | | | | | | (70) has_immunity(all_16_8, all_16_6) = 0
% 22.85/3.71 | | | | | |
% 22.85/3.71 | | | | | | GROUND_INST: instantiating (assumption_1) with all_16_8, all_16_6,
% 22.85/3.71 | | | | | | simplifying with (18), (20), (70) gives:
% 22.85/3.71 | | | | | | (71) ? [v0: int] : ? [v1: int] : ((v1 = 0 &
% 22.85/3.71 | | | | | | has_endowment(all_16_8) = 0) | ( ~ (v0 = 0) &
% 22.85/3.71 | | | | | | organization(all_16_8) = v0))
% 22.85/3.71 | | | | | |
% 22.85/3.71 | | | | | | DELTA: instantiating (71) with fresh symbols all_121_0, all_121_1
% 22.85/3.71 | | | | | | gives:
% 22.85/3.71 | | | | | | (72) (all_121_0 = 0 & has_endowment(all_16_8) = 0) | ( ~
% 22.85/3.71 | | | | | | (all_121_1 = 0) & organization(all_16_8) = all_121_1)
% 22.85/3.71 | | | | | |
% 22.85/3.71 | | | | | | BETA: splitting (72) gives:
% 22.85/3.71 | | | | | |
% 22.85/3.71 | | | | | | Case 1:
% 22.85/3.71 | | | | | | |
% 22.85/3.71 | | | | | | | (73) all_121_0 = 0 & has_endowment(all_16_8) = 0
% 22.85/3.71 | | | | | | |
% 22.85/3.71 | | | | | | | ALPHA: (73) implies:
% 22.85/3.71 | | | | | | | (74) has_endowment(all_16_8) = 0
% 22.85/3.71 | | | | | | |
% 22.85/3.71 | | | | | | | GROUND_INST: instantiating (10) with all_16_5, 0, all_16_8,
% 22.85/3.71 | | | | | | | simplifying with (25), (74) gives:
% 22.85/3.71 | | | | | | | (75) all_16_5 = 0
% 22.85/3.71 | | | | | | |
% 22.85/3.71 | | | | | | | REDUCE: (16), (75) imply:
% 22.85/3.71 | | | | | | | (76) $false
% 22.85/3.71 | | | | | | |
% 22.85/3.71 | | | | | | | CLOSE: (76) is inconsistent.
% 22.85/3.71 | | | | | | |
% 22.85/3.71 | | | | | | Case 2:
% 22.85/3.71 | | | | | | |
% 22.85/3.71 | | | | | | | (77) ~ (all_121_1 = 0) & organization(all_16_8) = all_121_1
% 22.85/3.71 | | | | | | |
% 22.85/3.71 | | | | | | | ALPHA: (77) implies:
% 22.85/3.71 | | | | | | | (78) ~ (all_121_1 = 0)
% 22.85/3.71 | | | | | | | (79) organization(all_16_8) = all_121_1
% 22.85/3.71 | | | | | | |
% 22.85/3.71 | | | | | | | GROUND_INST: instantiating (11) with 0, all_121_1, all_16_8,
% 22.85/3.71 | | | | | | | simplifying with (26), (79) gives:
% 22.85/3.71 | | | | | | | (80) all_121_1 = 0
% 22.85/3.71 | | | | | | |
% 22.85/3.71 | | | | | | | REDUCE: (78), (80) imply:
% 22.85/3.71 | | | | | | | (81) $false
% 22.85/3.71 | | | | | | |
% 22.85/3.71 | | | | | | | CLOSE: (81) is inconsistent.
% 22.85/3.71 | | | | | | |
% 22.85/3.71 | | | | | | End of split
% 22.85/3.71 | | | | | |
% 22.85/3.71 | | | | | End of split
% 22.85/3.71 | | | | |
% 22.85/3.71 | | | | Case 2:
% 22.85/3.71 | | | | |
% 22.85/3.71 | | | | | (82) ( ~ (all_46_10 = 0) & organization(all_16_8) = all_46_10) |
% 22.85/3.71 | | | | | ((all_35_0 = 0 | ((( ~ (all_46_0 = 0) & position(all_16_8,
% 22.85/3.71 | | | | | all_16_6) = all_46_3 & position(all_16_8,
% 22.85/3.71 | | | | | all_16_7) = all_46_4 & greater(all_46_4, all_46_3)
% 22.85/3.71 | | | | | = all_46_0 & $i(all_46_3) & $i(all_46_4)) | ( ~
% 22.85/3.71 | | | | | (all_46_1 = 0) & capability(all_16_8, all_16_6) =
% 22.85/3.71 | | | | | all_46_6 & capability(all_16_8, all_16_7) = all_46_7
% 22.85/3.71 | | | | | & greater_or_equal(all_46_7, all_46_6) = all_46_1 &
% 22.85/3.71 | | | | | $i(all_46_6) & $i(all_46_7))) & (( ~ (all_46_2 = 0)
% 22.85/3.71 | | | | | & position(all_16_8, all_16_6) = all_46_3 &
% 22.85/3.71 | | | | | position(all_16_8, all_16_7) = all_46_4 &
% 22.85/3.71 | | | | | greater_or_equal(all_46_4, all_46_3) = all_46_2 &
% 22.85/3.71 | | | | | $i(all_46_3) & $i(all_46_4)) | ( ~ (all_46_5 = 0) &
% 22.85/3.71 | | | | | capability(all_16_8, all_16_6) = all_46_6 &
% 22.85/3.71 | | | | | capability(all_16_8, all_16_7) = all_46_7 &
% 22.85/3.71 | | | | | greater(all_46_7, all_46_6) = all_46_5 &
% 22.85/3.71 | | | | | $i(all_46_6) & $i(all_46_7))))) & (all_16_1 =
% 22.85/3.71 | | | | | all_16_2 | ( ~ (all_46_3 = all_46_4) & position(all_16_8,
% 22.85/3.71 | | | | | all_16_6) = all_46_3 & position(all_16_8, all_16_7) =
% 22.85/3.71 | | | | | all_46_4 & $i(all_46_3) & $i(all_46_4)) | ( ~ (all_46_6
% 22.85/3.71 | | | | | = all_46_7) & capability(all_16_8, all_16_6) =
% 22.85/3.71 | | | | | all_46_6 & capability(all_16_8, all_16_7) = all_46_7 &
% 22.85/3.71 | | | | | $i(all_46_6) & $i(all_46_7))))
% 22.85/3.71 | | | | |
% 22.85/3.71 | | | | | BETA: splitting (82) gives:
% 22.85/3.71 | | | | |
% 22.85/3.71 | | | | | Case 1:
% 22.85/3.71 | | | | | |
% 22.85/3.71 | | | | | | (83) ~ (all_46_10 = 0) & organization(all_16_8) = all_46_10
% 22.85/3.71 | | | | | |
% 22.85/3.71 | | | | | | ALPHA: (83) implies:
% 22.85/3.71 | | | | | | (84) ~ (all_46_10 = 0)
% 22.85/3.71 | | | | | | (85) organization(all_16_8) = all_46_10
% 22.85/3.71 | | | | | |
% 22.85/3.71 | | | | | | GROUND_INST: instantiating (11) with 0, all_46_10, all_16_8,
% 22.85/3.71 | | | | | | simplifying with (26), (85) gives:
% 22.85/3.71 | | | | | | (86) all_46_10 = 0
% 22.85/3.71 | | | | | |
% 22.85/3.71 | | | | | | REDUCE: (84), (86) imply:
% 22.85/3.71 | | | | | | (87) $false
% 22.85/3.71 | | | | | |
% 22.85/3.71 | | | | | | CLOSE: (87) is inconsistent.
% 22.85/3.71 | | | | | |
% 22.85/3.71 | | | | | Case 2:
% 22.85/3.71 | | | | | |
% 22.85/3.71 | | | | | | (88) (all_35_0 = 0 | ((( ~ (all_46_0 = 0) & position(all_16_8,
% 22.85/3.71 | | | | | | all_16_6) = all_46_3 & position(all_16_8,
% 22.85/3.71 | | | | | | all_16_7) = all_46_4 & greater(all_46_4, all_46_3)
% 22.85/3.71 | | | | | | = all_46_0 & $i(all_46_3) & $i(all_46_4)) | ( ~
% 22.85/3.71 | | | | | | (all_46_1 = 0) & capability(all_16_8, all_16_6) =
% 22.85/3.71 | | | | | | all_46_6 & capability(all_16_8, all_16_7) = all_46_7
% 22.85/3.71 | | | | | | & greater_or_equal(all_46_7, all_46_6) = all_46_1 &
% 22.85/3.71 | | | | | | $i(all_46_6) & $i(all_46_7))) & (( ~ (all_46_2 = 0)
% 22.85/3.71 | | | | | | & position(all_16_8, all_16_6) = all_46_3 &
% 22.85/3.71 | | | | | | position(all_16_8, all_16_7) = all_46_4 &
% 22.85/3.71 | | | | | | greater_or_equal(all_46_4, all_46_3) = all_46_2 &
% 22.85/3.71 | | | | | | $i(all_46_3) & $i(all_46_4)) | ( ~ (all_46_5 = 0) &
% 22.85/3.71 | | | | | | capability(all_16_8, all_16_6) = all_46_6 &
% 22.85/3.71 | | | | | | capability(all_16_8, all_16_7) = all_46_7 &
% 22.85/3.71 | | | | | | greater(all_46_7, all_46_6) = all_46_5 &
% 22.85/3.71 | | | | | | $i(all_46_6) & $i(all_46_7))))) & (all_16_1 =
% 22.85/3.71 | | | | | | all_16_2 | ( ~ (all_46_3 = all_46_4) & position(all_16_8,
% 22.85/3.71 | | | | | | all_16_6) = all_46_3 & position(all_16_8, all_16_7) =
% 22.85/3.71 | | | | | | all_46_4 & $i(all_46_3) & $i(all_46_4)) | ( ~ (all_46_6
% 22.85/3.71 | | | | | | = all_46_7) & capability(all_16_8, all_16_6) =
% 22.85/3.71 | | | | | | all_46_6 & capability(all_16_8, all_16_7) = all_46_7 &
% 22.85/3.71 | | | | | | $i(all_46_6) & $i(all_46_7)))
% 22.85/3.71 | | | | | |
% 22.85/3.71 | | | | | | ALPHA: (88) implies:
% 22.85/3.71 | | | | | | (89) all_35_0 = 0 | ((( ~ (all_46_0 = 0) & position(all_16_8,
% 22.85/3.71 | | | | | | all_16_6) = all_46_3 & position(all_16_8, all_16_7)
% 22.85/3.71 | | | | | | = all_46_4 & greater(all_46_4, all_46_3) = all_46_0 &
% 22.85/3.71 | | | | | | $i(all_46_3) & $i(all_46_4)) | ( ~ (all_46_1 = 0) &
% 22.85/3.71 | | | | | | capability(all_16_8, all_16_6) = all_46_6 &
% 22.85/3.71 | | | | | | capability(all_16_8, all_16_7) = all_46_7 &
% 22.85/3.71 | | | | | | greater_or_equal(all_46_7, all_46_6) = all_46_1 &
% 22.85/3.71 | | | | | | $i(all_46_6) & $i(all_46_7))) & (( ~ (all_46_2 = 0) &
% 22.85/3.71 | | | | | | position(all_16_8, all_16_6) = all_46_3 &
% 22.85/3.71 | | | | | | position(all_16_8, all_16_7) = all_46_4 &
% 22.85/3.71 | | | | | | greater_or_equal(all_46_4, all_46_3) = all_46_2 &
% 22.85/3.71 | | | | | | $i(all_46_3) & $i(all_46_4)) | ( ~ (all_46_5 = 0) &
% 22.85/3.71 | | | | | | capability(all_16_8, all_16_6) = all_46_6 &
% 22.85/3.71 | | | | | | capability(all_16_8, all_16_7) = all_46_7 &
% 22.85/3.71 | | | | | | greater(all_46_7, all_46_6) = all_46_5 & $i(all_46_6)
% 22.85/3.71 | | | | | | & $i(all_46_7))))
% 22.85/3.71 | | | | | |
% 22.85/3.71 | | | | | | BETA: splitting (54) gives:
% 22.85/3.71 | | | | | |
% 22.85/3.71 | | | | | | Case 1:
% 22.85/3.71 | | | | | | |
% 22.85/3.71 | | | | | | | (90) all_45_0 = 0 & capability(all_16_8, all_16_6) = all_45_4 &
% 22.85/3.71 | | | | | | | capability(all_16_8, all_16_7) = all_45_3 &
% 22.85/3.71 | | | | | | | smaller(all_45_4, all_45_3) = 0 & $i(all_45_3) &
% 22.85/3.71 | | | | | | | $i(all_45_4)
% 22.85/3.71 | | | | | | |
% 22.85/3.71 | | | | | | | ALPHA: (90) implies:
% 22.85/3.71 | | | | | | | (91) $i(all_45_4)
% 22.85/3.71 | | | | | | | (92) $i(all_45_3)
% 22.85/3.71 | | | | | | | (93) smaller(all_45_4, all_45_3) = 0
% 22.85/3.71 | | | | | | | (94) capability(all_16_8, all_16_7) = all_45_3
% 22.85/3.71 | | | | | | | (95) capability(all_16_8, all_16_6) = all_45_4
% 22.85/3.71 | | | | | | |
% 22.85/3.71 | | | | | | | GROUND_INST: instantiating (4) with all_45_4, all_45_3,
% 22.85/3.71 | | | | | | | simplifying with (91), (92), (93) gives:
% 22.85/3.71 | | | | | | | (96) greater(all_45_3, all_45_4) = 0
% 22.85/3.71 | | | | | | |
% 22.85/3.71 | | | | | | | BETA: splitting (89) gives:
% 22.85/3.71 | | | | | | |
% 22.85/3.71 | | | | | | | Case 1:
% 22.85/3.71 | | | | | | | |
% 22.85/3.71 | | | | | | | | (97) all_35_0 = 0
% 22.85/3.71 | | | | | | | |
% 22.85/3.71 | | | | | | | | REDUCE: (42), (97) imply:
% 22.85/3.71 | | | | | | | | (98) $false
% 22.85/3.71 | | | | | | | |
% 22.85/3.71 | | | | | | | | CLOSE: (98) is inconsistent.
% 22.85/3.71 | | | | | | | |
% 22.85/3.71 | | | | | | | Case 2:
% 22.85/3.71 | | | | | | | |
% 22.85/3.71 | | | | | | | | (99) (( ~ (all_46_0 = 0) & position(all_16_8, all_16_6) =
% 22.85/3.71 | | | | | | | | all_46_3 & position(all_16_8, all_16_7) = all_46_4 &
% 22.85/3.71 | | | | | | | | greater(all_46_4, all_46_3) = all_46_0 &
% 22.85/3.71 | | | | | | | | $i(all_46_3) & $i(all_46_4)) | ( ~ (all_46_1 = 0) &
% 22.85/3.71 | | | | | | | | capability(all_16_8, all_16_6) = all_46_6 &
% 22.85/3.71 | | | | | | | | capability(all_16_8, all_16_7) = all_46_7 &
% 22.85/3.71 | | | | | | | | greater_or_equal(all_46_7, all_46_6) = all_46_1 &
% 22.85/3.71 | | | | | | | | $i(all_46_6) & $i(all_46_7))) & (( ~ (all_46_2 = 0)
% 22.85/3.71 | | | | | | | | & position(all_16_8, all_16_6) = all_46_3 &
% 22.85/3.71 | | | | | | | | position(all_16_8, all_16_7) = all_46_4 &
% 22.85/3.71 | | | | | | | | greater_or_equal(all_46_4, all_46_3) = all_46_2 &
% 22.85/3.71 | | | | | | | | $i(all_46_3) & $i(all_46_4)) | ( ~ (all_46_5 = 0) &
% 22.85/3.71 | | | | | | | | capability(all_16_8, all_16_6) = all_46_6 &
% 22.85/3.71 | | | | | | | | capability(all_16_8, all_16_7) = all_46_7 &
% 22.85/3.71 | | | | | | | | greater(all_46_7, all_46_6) = all_46_5 &
% 22.85/3.71 | | | | | | | | $i(all_46_6) & $i(all_46_7)))
% 22.85/3.71 | | | | | | | |
% 22.85/3.71 | | | | | | | | ALPHA: (99) implies:
% 22.85/3.71 | | | | | | | | (100) ( ~ (all_46_2 = 0) & position(all_16_8, all_16_6) =
% 22.85/3.71 | | | | | | | | all_46_3 & position(all_16_8, all_16_7) = all_46_4 &
% 22.85/3.71 | | | | | | | | greater_or_equal(all_46_4, all_46_3) = all_46_2 &
% 22.85/3.71 | | | | | | | | $i(all_46_3) & $i(all_46_4)) | ( ~ (all_46_5 = 0) &
% 22.85/3.71 | | | | | | | | capability(all_16_8, all_16_6) = all_46_6 &
% 22.85/3.71 | | | | | | | | capability(all_16_8, all_16_7) = all_46_7 &
% 22.85/3.71 | | | | | | | | greater(all_46_7, all_46_6) = all_46_5 & $i(all_46_6)
% 22.85/3.71 | | | | | | | | & $i(all_46_7))
% 22.85/3.71 | | | | | | | | (101) ( ~ (all_46_0 = 0) & position(all_16_8, all_16_6) =
% 22.85/3.71 | | | | | | | | all_46_3 & position(all_16_8, all_16_7) = all_46_4 &
% 22.85/3.71 | | | | | | | | greater(all_46_4, all_46_3) = all_46_0 & $i(all_46_3)
% 22.85/3.71 | | | | | | | | & $i(all_46_4)) | ( ~ (all_46_1 = 0) &
% 22.85/3.71 | | | | | | | | capability(all_16_8, all_16_6) = all_46_6 &
% 22.85/3.71 | | | | | | | | capability(all_16_8, all_16_7) = all_46_7 &
% 22.85/3.71 | | | | | | | | greater_or_equal(all_46_7, all_46_6) = all_46_1 &
% 22.85/3.71 | | | | | | | | $i(all_46_6) & $i(all_46_7))
% 22.85/3.71 | | | | | | | |
% 22.85/3.71 | | | | | | | | BETA: splitting (100) gives:
% 22.85/3.71 | | | | | | | |
% 22.85/3.71 | | | | | | | | Case 1:
% 22.85/3.71 | | | | | | | | |
% 22.85/3.72 | | | | | | | | | (102) ~ (all_46_2 = 0) & position(all_16_8, all_16_6) =
% 22.85/3.72 | | | | | | | | | all_46_3 & position(all_16_8, all_16_7) = all_46_4 &
% 22.85/3.72 | | | | | | | | | greater_or_equal(all_46_4, all_46_3) = all_46_2 &
% 22.85/3.72 | | | | | | | | | $i(all_46_3) & $i(all_46_4)
% 22.85/3.72 | | | | | | | | |
% 22.85/3.72 | | | | | | | | | ALPHA: (102) implies:
% 22.85/3.72 | | | | | | | | | (103) ~ (all_46_2 = 0)
% 22.85/3.72 | | | | | | | | | (104) greater_or_equal(all_46_4, all_46_3) = all_46_2
% 22.85/3.72 | | | | | | | | |
% 22.85/3.72 | | | | | | | | | GROUND_INST: instantiating (2) with all_45_3, all_45_4,
% 22.85/3.72 | | | | | | | | | simplifying with (91), (92), (96) gives:
% 22.85/3.72 | | | | | | | | | (105) greater_or_equal(all_45_3, all_45_4) = 0
% 22.85/3.72 | | | | | | | | |
% 22.85/3.72 | | | | | | | | | BETA: splitting (101) gives:
% 22.85/3.72 | | | | | | | | |
% 22.85/3.72 | | | | | | | | | Case 1:
% 22.85/3.72 | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | (106) ~ (all_46_0 = 0) & position(all_16_8, all_16_6) =
% 22.85/3.72 | | | | | | | | | | all_46_3 & position(all_16_8, all_16_7) = all_46_4
% 22.85/3.72 | | | | | | | | | | & greater(all_46_4, all_46_3) = all_46_0 &
% 22.85/3.72 | | | | | | | | | | $i(all_46_3) & $i(all_46_4)
% 22.85/3.72 | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | ALPHA: (106) implies:
% 22.85/3.72 | | | | | | | | | | (107) ~ (all_46_0 = 0)
% 22.85/3.72 | | | | | | | | | | (108) $i(all_46_3)
% 22.85/3.72 | | | | | | | | | | (109) greater(all_46_4, all_46_3) = all_46_0
% 22.85/3.72 | | | | | | | | | | (110) position(all_16_8, all_16_7) = all_46_4
% 22.85/3.72 | | | | | | | | | | (111) position(all_16_8, all_16_6) = all_46_3
% 22.85/3.72 | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | GROUND_INST: instantiating (8) with all_16_8, all_16_6,
% 22.85/3.72 | | | | | | | | | | all_16_7, all_46_4, all_46_3, all_46_0,
% 22.85/3.72 | | | | | | | | | | simplifying with (18), (19), (20), (109), (110),
% 22.85/3.72 | | | | | | | | | | (111) gives:
% 22.85/3.72 | | | | | | | | | | (112) ? [v0: int] : ? [v1: $i] : ? [v2: $i] : ? [v3:
% 22.85/3.72 | | | | | | | | | | int] : (( ~ (v0 = 0) & organization(all_16_8) =
% 22.85/3.72 | | | | | | | | | | v0) | ((all_46_0 = 0 | ( ~ (v3 = 0) &
% 22.85/3.72 | | | | | | | | | | external_ties(all_16_8, all_16_6) = v2 &
% 22.85/3.72 | | | | | | | | | | external_ties(all_16_8, all_16_7) = v1 &
% 22.85/3.72 | | | | | | | | | | greater(v1, v2) = v3 & $i(v2) & $i(v1))) &
% 22.85/3.72 | | | | | | | | | | (all_46_3 = all_46_4 | ( ~ (v2 = v1) &
% 22.85/3.72 | | | | | | | | | | external_ties(all_16_8, all_16_6) = v2 &
% 22.85/3.72 | | | | | | | | | | external_ties(all_16_8, all_16_7) = v1 &
% 22.85/3.72 | | | | | | | | | | $i(v2) & $i(v1)))))
% 22.85/3.72 | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | DELTA: instantiating (112) with fresh symbols all_197_0,
% 22.85/3.72 | | | | | | | | | | all_197_1, all_197_2, all_197_3 gives:
% 22.85/3.72 | | | | | | | | | | (113) ( ~ (all_197_3 = 0) & organization(all_16_8) =
% 22.85/3.72 | | | | | | | | | | all_197_3) | ((all_46_0 = 0 | ( ~ (all_197_0 = 0)
% 22.85/3.72 | | | | | | | | | | & external_ties(all_16_8, all_16_6) =
% 22.85/3.72 | | | | | | | | | | all_197_1 & external_ties(all_16_8, all_16_7)
% 22.85/3.72 | | | | | | | | | | = all_197_2 & greater(all_197_2, all_197_1) =
% 22.85/3.72 | | | | | | | | | | all_197_0 & $i(all_197_1) & $i(all_197_2))) &
% 22.85/3.72 | | | | | | | | | | (all_46_3 = all_46_4 | ( ~ (all_197_1 =
% 22.85/3.72 | | | | | | | | | | all_197_2) & external_ties(all_16_8,
% 22.85/3.72 | | | | | | | | | | all_16_6) = all_197_1 &
% 22.85/3.72 | | | | | | | | | | external_ties(all_16_8, all_16_7) = all_197_2
% 22.85/3.72 | | | | | | | | | | & $i(all_197_1) & $i(all_197_2))))
% 22.85/3.72 | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | BETA: splitting (113) gives:
% 22.85/3.72 | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | Case 1:
% 22.85/3.72 | | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | | (114) ~ (all_197_3 = 0) & organization(all_16_8) =
% 22.85/3.72 | | | | | | | | | | | all_197_3
% 22.85/3.72 | | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | | ALPHA: (114) implies:
% 22.85/3.72 | | | | | | | | | | | (115) ~ (all_197_3 = 0)
% 22.85/3.72 | | | | | | | | | | | (116) organization(all_16_8) = all_197_3
% 22.85/3.72 | | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | | GROUND_INST: instantiating (11) with 0, all_197_3, all_16_8,
% 22.85/3.72 | | | | | | | | | | | simplifying with (26), (116) gives:
% 22.85/3.72 | | | | | | | | | | | (117) all_197_3 = 0
% 22.85/3.72 | | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | | REDUCE: (115), (117) imply:
% 22.85/3.72 | | | | | | | | | | | (118) $false
% 22.85/3.72 | | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | | CLOSE: (118) is inconsistent.
% 22.85/3.72 | | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | Case 2:
% 22.85/3.72 | | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | | (119) (all_46_0 = 0 | ( ~ (all_197_0 = 0) &
% 22.85/3.72 | | | | | | | | | | | external_ties(all_16_8, all_16_6) = all_197_1
% 22.85/3.72 | | | | | | | | | | | & external_ties(all_16_8, all_16_7) =
% 22.85/3.72 | | | | | | | | | | | all_197_2 & greater(all_197_2, all_197_1) =
% 22.85/3.72 | | | | | | | | | | | all_197_0 & $i(all_197_1) & $i(all_197_2))) &
% 22.85/3.72 | | | | | | | | | | | (all_46_3 = all_46_4 | ( ~ (all_197_1 = all_197_2)
% 22.85/3.72 | | | | | | | | | | | & external_ties(all_16_8, all_16_6) =
% 22.85/3.72 | | | | | | | | | | | all_197_1 & external_ties(all_16_8, all_16_7)
% 22.85/3.72 | | | | | | | | | | | = all_197_2 & $i(all_197_1) & $i(all_197_2)))
% 22.85/3.72 | | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | | ALPHA: (119) implies:
% 22.85/3.72 | | | | | | | | | | | (120) all_46_3 = all_46_4 | ( ~ (all_197_1 = all_197_2)
% 22.85/3.72 | | | | | | | | | | | & external_ties(all_16_8, all_16_6) = all_197_1
% 22.85/3.72 | | | | | | | | | | | & external_ties(all_16_8, all_16_7) = all_197_2
% 22.85/3.72 | | | | | | | | | | | & $i(all_197_1) & $i(all_197_2))
% 22.85/3.72 | | | | | | | | | | | (121) all_46_0 = 0 | ( ~ (all_197_0 = 0) &
% 22.85/3.72 | | | | | | | | | | | external_ties(all_16_8, all_16_6) = all_197_1 &
% 22.85/3.72 | | | | | | | | | | | external_ties(all_16_8, all_16_7) = all_197_2 &
% 22.85/3.72 | | | | | | | | | | | greater(all_197_2, all_197_1) = all_197_0 &
% 22.85/3.72 | | | | | | | | | | | $i(all_197_1) & $i(all_197_2))
% 22.85/3.72 | | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | | BETA: splitting (121) gives:
% 22.85/3.72 | | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | | Case 1:
% 22.85/3.72 | | | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | | | (122) all_46_0 = 0
% 22.85/3.72 | | | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | | | REDUCE: (107), (122) imply:
% 22.85/3.72 | | | | | | | | | | | | (123) $false
% 22.85/3.72 | | | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | | | CLOSE: (123) is inconsistent.
% 22.85/3.72 | | | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | | Case 2:
% 22.85/3.72 | | | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | | | (124) ~ (all_197_0 = 0) & external_ties(all_16_8,
% 22.85/3.72 | | | | | | | | | | | | all_16_6) = all_197_1 & external_ties(all_16_8,
% 22.85/3.72 | | | | | | | | | | | | all_16_7) = all_197_2 & greater(all_197_2,
% 22.85/3.72 | | | | | | | | | | | | all_197_1) = all_197_0 & $i(all_197_1) &
% 22.85/3.72 | | | | | | | | | | | | $i(all_197_2)
% 22.85/3.72 | | | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | | | ALPHA: (124) implies:
% 22.85/3.72 | | | | | | | | | | | | (125) external_ties(all_16_8, all_16_7) = all_197_2
% 22.85/3.72 | | | | | | | | | | | | (126) external_ties(all_16_8, all_16_6) = all_197_1
% 22.85/3.72 | | | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | | | GROUND_INST: instantiating (assumption_11) with all_16_8,
% 22.85/3.72 | | | | | | | | | | | | all_16_7, all_16_6, all_197_1, all_197_2,
% 22.85/3.72 | | | | | | | | | | | | simplifying with (18), (19), (20), (125), (126)
% 22.85/3.72 | | | | | | | | | | | | gives:
% 22.85/3.72 | | | | | | | | | | | | (127) all_197_1 = all_197_2 | ? [v0: int] : ( ~ (v0 =
% 22.85/3.72 | | | | | | | | | | | | 0) & organization(all_16_8) = v0)
% 22.85/3.72 | | | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | | | BETA: splitting (127) gives:
% 22.85/3.72 | | | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | | | Case 1:
% 22.85/3.72 | | | | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | | | | (128) all_197_1 = all_197_2
% 22.85/3.72 | | | | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | | | | BETA: splitting (120) gives:
% 22.85/3.72 | | | | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | | | | Case 1:
% 22.85/3.72 | | | | | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | | | | | (129) all_46_3 = all_46_4
% 22.85/3.72 | | | | | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | | | | | REDUCE: (104), (129) imply:
% 22.85/3.72 | | | | | | | | | | | | | | (130) greater_or_equal(all_46_4, all_46_4) = all_46_2
% 22.85/3.72 | | | | | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | | | | | REDUCE: (108), (129) imply:
% 22.85/3.72 | | | | | | | | | | | | | | (131) $i(all_46_4)
% 22.85/3.72 | | | | | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_46_4, all_46_2,
% 22.85/3.72 | | | | | | | | | | | | | | simplifying with (130), (131) gives:
% 22.85/3.72 | | | | | | | | | | | | | | (132) all_46_2 = 0
% 22.85/3.72 | | | | | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | | | | | REDUCE: (103), (132) imply:
% 22.85/3.72 | | | | | | | | | | | | | | (133) $false
% 22.85/3.72 | | | | | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | | | | | CLOSE: (133) is inconsistent.
% 22.85/3.72 | | | | | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | | | | Case 2:
% 22.85/3.72 | | | | | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | | | | | (134) ~ (all_197_1 = all_197_2) &
% 22.85/3.72 | | | | | | | | | | | | | | external_ties(all_16_8, all_16_6) = all_197_1 &
% 22.85/3.72 | | | | | | | | | | | | | | external_ties(all_16_8, all_16_7) = all_197_2 &
% 22.85/3.72 | | | | | | | | | | | | | | $i(all_197_1) & $i(all_197_2)
% 22.85/3.72 | | | | | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | | | | | ALPHA: (134) implies:
% 22.85/3.72 | | | | | | | | | | | | | | (135) ~ (all_197_1 = all_197_2)
% 22.85/3.72 | | | | | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | | | | | REDUCE: (128), (135) imply:
% 22.85/3.72 | | | | | | | | | | | | | | (136) $false
% 22.85/3.72 | | | | | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | | | | | CLOSE: (136) is inconsistent.
% 22.85/3.72 | | | | | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | | | | End of split
% 22.85/3.72 | | | | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | | | Case 2:
% 22.85/3.72 | | | | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | | | | (137) ? [v0: int] : ( ~ (v0 = 0) &
% 22.85/3.72 | | | | | | | | | | | | | organization(all_16_8) = v0)
% 22.85/3.72 | | | | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | | | | DELTA: instantiating (137) with fresh symbol all_235_0
% 22.85/3.72 | | | | | | | | | | | | | gives:
% 22.85/3.72 | | | | | | | | | | | | | (138) ~ (all_235_0 = 0) & organization(all_16_8) =
% 22.85/3.72 | | | | | | | | | | | | | all_235_0
% 22.85/3.72 | | | | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | | | | ALPHA: (138) implies:
% 22.85/3.72 | | | | | | | | | | | | | (139) ~ (all_235_0 = 0)
% 22.85/3.72 | | | | | | | | | | | | | (140) organization(all_16_8) = all_235_0
% 22.85/3.72 | | | | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | | | | GROUND_INST: instantiating (11) with 0, all_235_0, all_16_8,
% 22.85/3.72 | | | | | | | | | | | | | simplifying with (26), (140) gives:
% 22.85/3.72 | | | | | | | | | | | | | (141) all_235_0 = 0
% 22.85/3.72 | | | | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | | | | REDUCE: (139), (141) imply:
% 22.85/3.72 | | | | | | | | | | | | | (142) $false
% 22.85/3.72 | | | | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | | | | CLOSE: (142) is inconsistent.
% 22.85/3.72 | | | | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | | | End of split
% 22.85/3.72 | | | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | | End of split
% 22.85/3.72 | | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | End of split
% 22.85/3.72 | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | Case 2:
% 22.85/3.72 | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | (143) ~ (all_46_1 = 0) & capability(all_16_8, all_16_6)
% 22.85/3.72 | | | | | | | | | | = all_46_6 & capability(all_16_8, all_16_7) =
% 22.85/3.72 | | | | | | | | | | all_46_7 & greater_or_equal(all_46_7, all_46_6) =
% 22.85/3.72 | | | | | | | | | | all_46_1 & $i(all_46_6) & $i(all_46_7)
% 22.85/3.72 | | | | | | | | | |
% 22.85/3.72 | | | | | | | | | | ALPHA: (143) implies:
% 22.85/3.72 | | | | | | | | | | (144) ~ (all_46_1 = 0)
% 22.85/3.73 | | | | | | | | | | (145) greater_or_equal(all_46_7, all_46_6) = all_46_1
% 22.85/3.73 | | | | | | | | | | (146) capability(all_16_8, all_16_7) = all_46_7
% 22.85/3.73 | | | | | | | | | | (147) capability(all_16_8, all_16_6) = all_46_6
% 22.85/3.73 | | | | | | | | | |
% 22.85/3.73 | | | | | | | | | | GROUND_INST: instantiating (14) with all_45_3, all_46_7,
% 22.85/3.73 | | | | | | | | | | all_16_7, all_16_8, simplifying with (94), (146)
% 22.85/3.73 | | | | | | | | | | gives:
% 22.85/3.73 | | | | | | | | | | (148) all_46_7 = all_45_3
% 22.85/3.73 | | | | | | | | | |
% 22.85/3.73 | | | | | | | | | | GROUND_INST: instantiating (14) with all_45_4, all_46_6,
% 22.85/3.73 | | | | | | | | | | all_16_6, all_16_8, simplifying with (95), (147)
% 22.85/3.73 | | | | | | | | | | gives:
% 22.85/3.73 | | | | | | | | | | (149) all_46_6 = all_45_4
% 22.85/3.73 | | | | | | | | | |
% 22.85/3.73 | | | | | | | | | | REDUCE: (145), (148), (149) imply:
% 22.85/3.73 | | | | | | | | | | (150) greater_or_equal(all_45_3, all_45_4) = all_46_1
% 22.85/3.73 | | | | | | | | | |
% 22.85/3.73 | | | | | | | | | | GROUND_INST: instantiating (12) with 0, all_46_1, all_45_4,
% 22.85/3.73 | | | | | | | | | | all_45_3, simplifying with (105), (150) gives:
% 22.85/3.73 | | | | | | | | | | (151) all_46_1 = 0
% 22.85/3.73 | | | | | | | | | |
% 22.85/3.73 | | | | | | | | | | REDUCE: (144), (151) imply:
% 22.85/3.73 | | | | | | | | | | (152) $false
% 22.85/3.73 | | | | | | | | | |
% 22.85/3.73 | | | | | | | | | | CLOSE: (152) is inconsistent.
% 22.85/3.73 | | | | | | | | | |
% 22.85/3.73 | | | | | | | | | End of split
% 22.85/3.73 | | | | | | | | |
% 22.85/3.73 | | | | | | | | Case 2:
% 22.85/3.73 | | | | | | | | |
% 22.85/3.73 | | | | | | | | | (153) ~ (all_46_5 = 0) & capability(all_16_8, all_16_6) =
% 22.85/3.73 | | | | | | | | | all_46_6 & capability(all_16_8, all_16_7) = all_46_7
% 22.85/3.73 | | | | | | | | | & greater(all_46_7, all_46_6) = all_46_5 &
% 22.85/3.73 | | | | | | | | | $i(all_46_6) & $i(all_46_7)
% 22.85/3.73 | | | | | | | | |
% 22.85/3.73 | | | | | | | | | ALPHA: (153) implies:
% 22.85/3.73 | | | | | | | | | (154) ~ (all_46_5 = 0)
% 22.85/3.73 | | | | | | | | | (155) greater(all_46_7, all_46_6) = all_46_5
% 22.85/3.73 | | | | | | | | | (156) capability(all_16_8, all_16_7) = all_46_7
% 22.85/3.73 | | | | | | | | | (157) capability(all_16_8, all_16_6) = all_46_6
% 22.85/3.73 | | | | | | | | |
% 22.85/3.73 | | | | | | | | | GROUND_INST: instantiating (14) with all_45_3, all_46_7,
% 22.85/3.73 | | | | | | | | | all_16_7, all_16_8, simplifying with (94), (156)
% 22.85/3.73 | | | | | | | | | gives:
% 22.85/3.73 | | | | | | | | | (158) all_46_7 = all_45_3
% 22.85/3.73 | | | | | | | | |
% 22.85/3.73 | | | | | | | | | GROUND_INST: instantiating (14) with all_45_4, all_46_6,
% 22.85/3.73 | | | | | | | | | all_16_6, all_16_8, simplifying with (95), (157)
% 22.85/3.73 | | | | | | | | | gives:
% 22.85/3.73 | | | | | | | | | (159) all_46_6 = all_45_4
% 22.85/3.73 | | | | | | | | |
% 22.85/3.73 | | | | | | | | | REDUCE: (155), (158), (159) imply:
% 22.85/3.73 | | | | | | | | | (160) greater(all_45_3, all_45_4) = all_46_5
% 22.85/3.73 | | | | | | | | |
% 22.85/3.73 | | | | | | | | | GROUND_INST: instantiating (13) with 0, all_46_5, all_45_4,
% 22.85/3.73 | | | | | | | | | all_45_3, simplifying with (96), (160) gives:
% 22.85/3.73 | | | | | | | | | (161) all_46_5 = 0
% 22.85/3.73 | | | | | | | | |
% 22.85/3.73 | | | | | | | | | REDUCE: (154), (161) imply:
% 22.85/3.73 | | | | | | | | | (162) $false
% 22.85/3.73 | | | | | | | | |
% 22.85/3.73 | | | | | | | | | CLOSE: (162) is inconsistent.
% 22.85/3.73 | | | | | | | | |
% 22.85/3.73 | | | | | | | | End of split
% 22.85/3.73 | | | | | | | |
% 22.85/3.73 | | | | | | | End of split
% 22.85/3.73 | | | | | | |
% 22.85/3.73 | | | | | | Case 2:
% 22.85/3.73 | | | | | | |
% 22.85/3.73 | | | | | | | (163) ~ (all_45_1 = 0) & stock_of_knowledge(all_16_8,
% 22.85/3.73 | | | | | | | all_16_6) = all_45_8 & stock_of_knowledge(all_16_8,
% 22.85/3.73 | | | | | | | all_16_7) = all_45_7 & smaller_or_equal(all_45_8,
% 22.85/3.73 | | | | | | | all_45_7) = all_45_1 & $i(all_45_7) & $i(all_45_8)
% 22.85/3.73 | | | | | | |
% 22.85/3.73 | | | | | | | ALPHA: (163) implies:
% 22.85/3.73 | | | | | | | (164) ~ (all_45_1 = 0)
% 22.85/3.73 | | | | | | | (165) $i(all_45_7)
% 22.85/3.73 | | | | | | | (166) smaller_or_equal(all_45_8, all_45_7) = all_45_1
% 22.85/3.73 | | | | | | | (167) stock_of_knowledge(all_16_8, all_16_7) = all_45_7
% 22.85/3.73 | | | | | | | (168) stock_of_knowledge(all_16_8, all_16_6) = all_45_8
% 22.85/3.73 | | | | | | |
% 22.85/3.73 | | | | | | | GROUND_INST: instantiating (assumption_10) with all_16_8,
% 22.85/3.73 | | | | | | | all_16_7, all_16_6, all_45_8, all_45_7, simplifying
% 22.85/3.73 | | | | | | | with (18), (19), (20), (167), (168) gives:
% 22.85/3.73 | | | | | | | (169) all_45_7 = all_45_8 | ? [v0: int] : ( ~ (v0 = 0) &
% 22.85/3.73 | | | | | | | organization(all_16_8) = v0)
% 22.85/3.73 | | | | | | |
% 22.85/3.73 | | | | | | | BETA: splitting (169) gives:
% 22.85/3.73 | | | | | | |
% 22.85/3.73 | | | | | | | Case 1:
% 22.85/3.73 | | | | | | | |
% 22.85/3.73 | | | | | | | | (170) all_45_7 = all_45_8
% 22.85/3.73 | | | | | | | |
% 22.85/3.73 | | | | | | | | REDUCE: (166), (170) imply:
% 22.85/3.73 | | | | | | | | (171) smaller_or_equal(all_45_8, all_45_8) = all_45_1
% 22.85/3.73 | | | | | | | |
% 22.85/3.73 | | | | | | | | REDUCE: (165), (170) imply:
% 22.85/3.73 | | | | | | | | (172) $i(all_45_8)
% 22.85/3.73 | | | | | | | |
% 22.85/3.73 | | | | | | | | GROUND_INST: instantiating (1) with all_45_8, all_45_1,
% 22.85/3.73 | | | | | | | | simplifying with (171), (172) gives:
% 22.85/3.73 | | | | | | | | (173) all_45_1 = 0
% 22.85/3.73 | | | | | | | |
% 22.85/3.73 | | | | | | | | REDUCE: (164), (173) imply:
% 22.85/3.73 | | | | | | | | (174) $false
% 22.85/3.73 | | | | | | | |
% 22.85/3.73 | | | | | | | | CLOSE: (174) is inconsistent.
% 22.85/3.73 | | | | | | | |
% 22.85/3.73 | | | | | | | Case 2:
% 22.85/3.73 | | | | | | | |
% 22.85/3.73 | | | | | | | | (175) ? [v0: int] : ( ~ (v0 = 0) & organization(all_16_8) =
% 22.85/3.73 | | | | | | | | v0)
% 22.85/3.73 | | | | | | | |
% 22.85/3.73 | | | | | | | | DELTA: instantiating (175) with fresh symbol all_174_0 gives:
% 22.85/3.73 | | | | | | | | (176) ~ (all_174_0 = 0) & organization(all_16_8) = all_174_0
% 22.85/3.73 | | | | | | | |
% 22.85/3.73 | | | | | | | | ALPHA: (176) implies:
% 22.85/3.73 | | | | | | | | (177) ~ (all_174_0 = 0)
% 22.85/3.73 | | | | | | | | (178) organization(all_16_8) = all_174_0
% 22.85/3.73 | | | | | | | |
% 22.85/3.73 | | | | | | | | GROUND_INST: instantiating (11) with 0, all_174_0, all_16_8,
% 22.85/3.73 | | | | | | | | simplifying with (26), (178) gives:
% 22.85/3.73 | | | | | | | | (179) all_174_0 = 0
% 22.85/3.73 | | | | | | | |
% 22.85/3.73 | | | | | | | | REDUCE: (177), (179) imply:
% 22.85/3.73 | | | | | | | | (180) $false
% 22.85/3.73 | | | | | | | |
% 22.85/3.73 | | | | | | | | CLOSE: (180) is inconsistent.
% 22.85/3.73 | | | | | | | |
% 22.85/3.73 | | | | | | | End of split
% 22.85/3.73 | | | | | | |
% 22.85/3.73 | | | | | | End of split
% 22.85/3.73 | | | | | |
% 22.85/3.73 | | | | | End of split
% 22.85/3.73 | | | | |
% 22.85/3.73 | | | | End of split
% 22.85/3.73 | | | |
% 22.85/3.73 | | | End of split
% 22.85/3.73 | | |
% 22.85/3.73 | | End of split
% 22.85/3.73 | |
% 22.85/3.73 | Case 2:
% 22.85/3.73 | |
% 22.85/3.73 | | (181) ~ (all_26_3 = 0) & organization(all_16_8) = all_26_3
% 22.85/3.73 | |
% 22.85/3.73 | | ALPHA: (181) implies:
% 22.85/3.73 | | (182) ~ (all_26_3 = 0)
% 22.85/3.73 | | (183) organization(all_16_8) = all_26_3
% 22.85/3.73 | |
% 22.85/3.73 | | GROUND_INST: instantiating (11) with 0, all_26_3, all_16_8, simplifying with
% 22.85/3.73 | | (26), (183) gives:
% 22.85/3.73 | | (184) all_26_3 = 0
% 22.85/3.73 | |
% 22.85/3.73 | | REDUCE: (182), (184) imply:
% 22.85/3.73 | | (185) $false
% 22.85/3.73 | |
% 22.85/3.73 | | CLOSE: (185) is inconsistent.
% 22.85/3.73 | |
% 22.85/3.73 | End of split
% 22.85/3.73 |
% 22.85/3.73 End of proof
% 22.85/3.73 % SZS output end Proof for theBenchmark
% 22.85/3.73
% 22.85/3.73 3167ms
%------------------------------------------------------------------------------