TSTP Solution File: MGT046+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : MGT046+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 : n012.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 09:16:26 EDT 2023
% Result : Theorem 28.94s 4.69s
% Output : Proof 40.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT046+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 06:29:09 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.59 ________ _____
% 0.19/0.59 ___ __ \_________(_)________________________________
% 0.19/0.59 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.19/0.59 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.19/0.59 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.19/0.59
% 0.19/0.59 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.59 (2023-06-19)
% 0.19/0.59
% 0.19/0.59 (c) Philipp Rümmer, 2009-2023
% 0.19/0.59 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.59 Amanda Stjerna.
% 0.19/0.59 Free software under BSD-3-Clause.
% 0.19/0.59
% 0.19/0.59 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.59
% 0.19/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.19/0.60 Running up to 7 provers in parallel.
% 0.19/0.62 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.62 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.62 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.62 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.62 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.62 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.62 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.59/1.13 Prover 4: Preprocessing ...
% 2.59/1.13 Prover 1: Preprocessing ...
% 3.20/1.17 Prover 5: Preprocessing ...
% 3.20/1.17 Prover 0: Preprocessing ...
% 3.20/1.17 Prover 2: Preprocessing ...
% 3.20/1.17 Prover 3: Preprocessing ...
% 3.20/1.17 Prover 6: Preprocessing ...
% 6.36/1.59 Prover 1: Constructing countermodel ...
% 6.36/1.60 Prover 3: Constructing countermodel ...
% 6.36/1.61 Prover 6: Constructing countermodel ...
% 7.33/1.75 Prover 4: Constructing countermodel ...
% 7.33/1.76 Prover 2: Proving ...
% 7.76/1.80 Prover 0: Proving ...
% 8.49/1.89 Prover 5: Proving ...
% 8.49/1.89 Prover 3: gave up
% 8.49/1.89 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 8.49/1.90 Prover 1: gave up
% 8.49/1.90 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 8.65/1.91 Prover 6: gave up
% 8.65/1.91 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889
% 8.65/1.98 Prover 8: Preprocessing ...
% 8.65/2.00 Prover 7: Preprocessing ...
% 8.65/2.00 Prover 9: Preprocessing ...
% 10.10/2.14 Prover 8: Warning: ignoring some quantifiers
% 10.10/2.15 Prover 8: Constructing countermodel ...
% 10.69/2.25 Prover 7: Warning: ignoring some quantifiers
% 10.69/2.26 Prover 7: Constructing countermodel ...
% 11.24/2.28 Prover 9: Constructing countermodel ...
% 11.24/2.34 Prover 8: gave up
% 11.24/2.35 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 11.94/2.38 Prover 10: Preprocessing ...
% 12.37/2.45 Prover 10: Warning: ignoring some quantifiers
% 12.37/2.47 Prover 10: Constructing countermodel ...
% 18.07/3.25 Prover 10: gave up
% 18.07/3.25 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 18.07/3.29 Prover 11: Preprocessing ...
% 19.45/3.56 Prover 11: Constructing countermodel ...
% 28.94/4.69 Prover 0: proved (4073ms)
% 28.94/4.69
% 28.94/4.69 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 28.94/4.69
% 28.94/4.69 Prover 2: stopped
% 28.94/4.70 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 28.94/4.70 Prover 9: stopped
% 29.26/4.72 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 29.26/4.72 Prover 5: stopped
% 29.26/4.72 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 29.26/4.72 Prover 13: Preprocessing ...
% 29.26/4.74 Prover 16: Preprocessing ...
% 29.47/4.75 Prover 19: Preprocessing ...
% 29.47/4.79 Prover 16: Warning: ignoring some quantifiers
% 29.47/4.80 Prover 16: Constructing countermodel ...
% 29.47/4.81 Prover 13: Warning: ignoring some quantifiers
% 29.47/4.81 Prover 13: Constructing countermodel ...
% 30.07/4.84 Prover 19: Warning: ignoring some quantifiers
% 30.07/4.85 Prover 19: Constructing countermodel ...
% 30.48/4.92 Prover 19: gave up
% 32.48/5.17 Prover 16: gave up
% 39.81/6.25 Prover 11: Found proof (size 325)
% 39.81/6.25 Prover 11: proved (2998ms)
% 39.81/6.25 Prover 13: stopped
% 39.81/6.25 Prover 7: stopped
% 39.81/6.25 Prover 4: stopped
% 39.81/6.25
% 39.81/6.25 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 39.81/6.25
% 39.81/6.27 % SZS output start Proof for theBenchmark
% 39.81/6.27 Assumptions after simplification:
% 39.81/6.27 ---------------------------------
% 39.81/6.27
% 39.81/6.27 (assumption_1)
% 39.81/6.29 ! [v0: $i] : ! [v1: $i] : ( ~ (has_immunity(v0, v1) = 0) | ~ $i(v1) | ~
% 39.81/6.29 $i(v0) | ? [v2: int] : ? [v3: int] : ((v3 = 0 & has_endowment(v0) = 0) | (
% 39.81/6.29 ~ (v2 = 0) & organization(v0) = v2)))
% 39.81/6.29
% 39.81/6.29 (assumption_4)
% 39.81/6.32 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 39.81/6.32 any] : ( ~ (position(v0, v2) = v3) | ~ (position(v0, v1) = v4) | ~
% 39.81/6.32 (greater(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: int] :
% 39.81/6.32 ? [v7: int] : ? [v8: int] : ? [v9: $i] : ? [v10: $i] : ? [v11: int] : ?
% 39.81/6.32 [v12: int] : ? [v13: $i] : ? [v14: $i] : ? [v15: int] : ? [v16: int] :
% 39.81/6.32 ((v8 = 0 & has_immunity(v0, v2) = 0) | (v7 = 0 & has_immunity(v0, v1) = 0) |
% 39.81/6.32 ( ~ (v6 = 0) & organization(v0) = v6) | (( ~ (v4 = v3) | (v14 = v13 &
% 39.81/6.32 hazard_of_mortality(v0, v2) = v13 & hazard_of_mortality(v0, v1) =
% 39.81/6.32 v13 & $i(v13)) | ( ~ (v10 = v9) & capability(v0, v2) = v9 &
% 39.81/6.32 capability(v0, v1) = v10 & $i(v10) & $i(v9))) & ((v15 = 0 &
% 39.81/6.32 hazard_of_mortality(v0, v2) = v13 & hazard_of_mortality(v0, v1) =
% 39.81/6.32 v14 & smaller(v13, v14) = 0 & $i(v14) & $i(v13)) | (( ~ (v5 = 0) | (
% 39.81/6.32 ~ (v16 = 0) & capability(v0, v2) = v9 & capability(v0, v1) = v10
% 39.81/6.32 & greater_or_equal(v9, v10) = v16 & $i(v10) & $i(v9))) & (( ~
% 39.81/6.32 (v12 = 0) & greater_or_equal(v3, v4) = v12) | ( ~ (v11 = 0) &
% 39.81/6.32 capability(v0, v2) = v9 & capability(v0, v1) = v10 & greater(v9,
% 39.81/6.32 v10) = v11 & $i(v10) & $i(v9)))))))) & ! [v0: $i] : ! [v1:
% 39.81/6.32 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: any] : ( ~
% 39.81/6.32 (position(v0, v2) = v3) | ~ (position(v0, v1) = v4) | ~
% 39.81/6.32 (greater_or_equal(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 39.81/6.32 [v6: int] : ? [v7: int] : ? [v8: int] : ? [v9: $i] : ? [v10: $i] : ?
% 39.81/6.32 [v11: int] : ? [v12: $i] : ? [v13: $i] : ? [v14: int] : ? [v15: int] :
% 39.81/6.32 ? [v16: int] : ((v8 = 0 & has_immunity(v0, v2) = 0) | (v7 = 0 &
% 39.81/6.32 has_immunity(v0, v1) = 0) | ( ~ (v6 = 0) & organization(v0) = v6) | (( ~
% 39.81/6.32 (v4 = v3) | (v13 = v12 & hazard_of_mortality(v0, v2) = v12 &
% 39.81/6.32 hazard_of_mortality(v0, v1) = v12 & $i(v12)) | ( ~ (v10 = v9) &
% 39.81/6.33 capability(v0, v2) = v9 & capability(v0, v1) = v10 & $i(v10) &
% 39.81/6.33 $i(v9))) & ((v14 = 0 & hazard_of_mortality(v0, v2) = v12 &
% 39.81/6.33 hazard_of_mortality(v0, v1) = v13 & smaller(v12, v13) = 0 & $i(v13)
% 39.81/6.33 & $i(v12)) | (( ~ (v5 = 0) | ( ~ (v11 = 0) & capability(v0, v2) = v9
% 39.81/6.33 & capability(v0, v1) = v10 & greater(v9, v10) = v11 & $i(v10) &
% 39.81/6.33 $i(v9))) & (( ~ (v16 = 0) & greater(v3, v4) = v16) | ( ~ (v15 =
% 39.81/6.33 0) & capability(v0, v2) = v9 & capability(v0, v1) = v10 &
% 39.81/6.33 greater_or_equal(v9, v10) = v15 & $i(v10) & $i(v9)))))))) & !
% 39.81/6.33 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 39.81/6.33 any] : ( ~ (capability(v0, v2) = v3) | ~ (capability(v0, v1) = v4) | ~
% 39.81/6.33 (greater(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: int] :
% 39.81/6.33 ? [v7: int] : ? [v8: int] : ? [v9: $i] : ? [v10: $i] : ? [v11: int] : ?
% 39.81/6.33 [v12: $i] : ? [v13: $i] : ? [v14: int] : ? [v15: int] : ? [v16: int] :
% 39.81/6.33 ((v8 = 0 & has_immunity(v0, v2) = 0) | (v7 = 0 & has_immunity(v0, v1) = 0) |
% 39.81/6.33 ( ~ (v6 = 0) & organization(v0) = v6) | (( ~ (v4 = v3) | (v13 = v12 &
% 39.81/6.33 hazard_of_mortality(v0, v2) = v12 & hazard_of_mortality(v0, v1) =
% 39.81/6.33 v12 & $i(v12)) | ( ~ (v10 = v9) & position(v0, v2) = v9 &
% 39.81/6.33 position(v0, v1) = v10 & $i(v10) & $i(v9))) & ((v14 = 0 &
% 39.81/6.33 hazard_of_mortality(v0, v2) = v12 & hazard_of_mortality(v0, v1) =
% 39.81/6.33 v13 & smaller(v12, v13) = 0 & $i(v13) & $i(v12)) | (( ~ (v5 = 0) | (
% 39.81/6.33 ~ (v11 = 0) & position(v0, v2) = v9 & position(v0, v1) = v10 &
% 39.81/6.33 greater_or_equal(v9, v10) = v11 & $i(v10) & $i(v9))) & (( ~ (v16
% 39.81/6.33 = 0) & position(v0, v2) = v9 & position(v0, v1) = v10 &
% 39.81/6.33 greater(v9, v10) = v16 & $i(v10) & $i(v9)) | ( ~ (v15 = 0) &
% 39.81/6.33 greater_or_equal(v3, v4) = v15))))))) & ! [v0: $i] : ! [v1:
% 39.81/6.33 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: any] : ( ~
% 39.81/6.33 (capability(v0, v2) = v3) | ~ (capability(v0, v1) = v4) | ~
% 39.81/6.33 (greater_or_equal(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 39.81/6.33 [v6: int] : ? [v7: int] : ? [v8: int] : ? [v9: int] : ? [v10: $i] : ?
% 39.81/6.33 [v11: $i] : ? [v12: int] : ? [v13: $i] : ? [v14: $i] : ? [v15: int] : ?
% 39.81/6.33 [v16: int] : ((v8 = 0 & has_immunity(v0, v2) = 0) | (v7 = 0 &
% 39.81/6.33 has_immunity(v0, v1) = 0) | ( ~ (v6 = 0) & organization(v0) = v6) | (( ~
% 39.81/6.33 (v4 = v3) | (v14 = v13 & hazard_of_mortality(v0, v2) = v13 &
% 39.81/6.33 hazard_of_mortality(v0, v1) = v13 & $i(v13)) | ( ~ (v11 = v10) &
% 39.81/6.33 position(v0, v2) = v10 & position(v0, v1) = v11 & $i(v11) &
% 39.81/6.33 $i(v10))) & ((v15 = 0 & hazard_of_mortality(v0, v2) = v13 &
% 39.81/6.33 hazard_of_mortality(v0, v1) = v14 & smaller(v13, v14) = 0 & $i(v14)
% 39.81/6.33 & $i(v13)) | (( ~ (v5 = 0) | ( ~ (v16 = 0) & position(v0, v2) = v10
% 39.81/6.33 & position(v0, v1) = v11 & greater(v10, v11) = v16 & $i(v11) &
% 39.81/6.33 $i(v10))) & (( ~ (v12 = 0) & position(v0, v2) = v10 &
% 39.81/6.33 position(v0, v1) = v11 & greater_or_equal(v10, v11) = v12 &
% 39.81/6.33 $i(v11) & $i(v10)) | ( ~ (v9 = 0) & greater(v3, v4) = v9)))))))
% 39.81/6.33 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 39.81/6.33 [v5: any] : ( ~ (hazard_of_mortality(v0, v2) = v3) | ~
% 39.81/6.33 (hazard_of_mortality(v0, v1) = v4) | ~ (smaller(v3, v4) = v5) | ~ $i(v2) |
% 39.81/6.33 ~ $i(v1) | ~ $i(v0) | ? [v6: int] : ? [v7: int] : ? [v8: int] : ? [v9:
% 39.81/6.33 $i] : ? [v10: $i] : ? [v11: int] : ? [v12: $i] : ? [v13: $i] : ?
% 39.81/6.33 [v14: int] : ? [v15: int] : ? [v16: int] : ((v8 = 0 & has_immunity(v0, v2)
% 39.81/6.33 = 0) | (v7 = 0 & has_immunity(v0, v1) = 0) | ( ~ (v6 = 0) &
% 39.81/6.33 organization(v0) = v6) | ((v5 = 0 | ((( ~ (v16 = 0) & position(v0, v2) =
% 39.81/6.33 v12 & position(v0, v1) = v13 & greater(v12, v13) = v16 & $i(v13)
% 39.81/6.33 & $i(v12)) | ( ~ (v15 = 0) & capability(v0, v2) = v9 &
% 39.81/6.33 capability(v0, v1) = v10 & greater_or_equal(v9, v10) = v15 &
% 39.81/6.33 $i(v10) & $i(v9))) & (( ~ (v14 = 0) & position(v0, v2) = v12 &
% 39.81/6.33 position(v0, v1) = v13 & greater_or_equal(v12, v13) = v14 &
% 39.81/6.33 $i(v13) & $i(v12)) | ( ~ (v11 = 0) & capability(v0, v2) = v9 &
% 39.81/6.33 capability(v0, v1) = v10 & greater(v9, v10) = v11 & $i(v10) &
% 39.81/6.33 $i(v9))))) & (v4 = v3 | ( ~ (v13 = v12) & position(v0, v2) = v12
% 39.81/6.33 & position(v0, v1) = v13 & $i(v13) & $i(v12)) | ( ~ (v10 = v9) &
% 39.81/6.33 capability(v0, v2) = v9 & capability(v0, v1) = v10 & $i(v10) &
% 39.81/6.33 $i(v9))))))
% 39.81/6.33
% 39.81/6.33 (assumption_5)
% 39.81/6.34 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 39.81/6.34 any] : ( ~ (internal_friction(v0, v2) = v3) | ~ (internal_friction(v0, v1)
% 39.81/6.34 = v4) | ~ (greater(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 39.81/6.34 [v6: int] : ? [v7: $i] : ? [v8: $i] : ? [v9: int] : ? [v10: int] : ?
% 39.81/6.34 [v11: $i] : ? [v12: $i] : ? [v13: int] : ? [v14: int] : ? [v15: int] :
% 39.81/6.34 (( ~ (v6 = 0) & organization(v0) = v6) | (( ~ (v5 = 0) | (v15 = 0 &
% 39.81/6.34 capability(v0, v2) = v11 & capability(v0, v1) = v12 & smaller(v11,
% 39.81/6.35 v12) = 0 & $i(v12) & $i(v11)) | ( ~ (v14 = 0) &
% 39.81/6.35 stock_of_knowledge(v0, v2) = v7 & stock_of_knowledge(v0, v1) = v8 &
% 39.81/6.35 smaller_or_equal(v7, v8) = v14 & $i(v8) & $i(v7))) & ( ~ (v4 = v3) |
% 39.81/6.35 (v12 = v11 & capability(v0, v2) = v11 & capability(v0, v1) = v11 &
% 39.81/6.35 $i(v11)) | ( ~ (v8 = v7) & stock_of_knowledge(v0, v2) = v7 &
% 39.81/6.35 stock_of_knowledge(v0, v1) = v8 & $i(v8) & $i(v7))) & ((v13 = 0 &
% 39.81/6.35 capability(v0, v2) = v11 & capability(v0, v1) = v12 & greater(v11,
% 39.81/6.35 v12) = 0 & $i(v12) & $i(v11)) | ( ~ (v10 = 0) &
% 39.81/6.35 smaller_or_equal(v3, v4) = v10) | ( ~ (v9 = 0) &
% 39.81/6.35 stock_of_knowledge(v0, v2) = v7 & stock_of_knowledge(v0, v1) = v8 &
% 39.81/6.35 greater(v7, v8) = v9 & $i(v8) & $i(v7)))))) & ! [v0: $i] : ! [v1:
% 39.81/6.35 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: any] : ( ~
% 39.81/6.35 (internal_friction(v0, v2) = v3) | ~ (internal_friction(v0, v1) = v4) | ~
% 39.81/6.35 (smaller_or_equal(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 39.81/6.35 [v6: int] : ? [v7: $i] : ? [v8: $i] : ? [v9: int] : ? [v10: $i] : ?
% 39.81/6.35 [v11: $i] : ? [v12: int] : ? [v13: int] : ? [v14: int] : ? [v15: int] :
% 39.81/6.35 (( ~ (v6 = 0) & organization(v0) = v6) | (( ~ (v5 = 0) | (v12 = 0 &
% 39.81/6.35 capability(v0, v2) = v10 & capability(v0, v1) = v11 & greater(v10,
% 39.81/6.35 v11) = 0 & $i(v11) & $i(v10)) | ( ~ (v9 = 0) &
% 39.81/6.35 stock_of_knowledge(v0, v2) = v7 & stock_of_knowledge(v0, v1) = v8 &
% 39.81/6.35 greater(v7, v8) = v9 & $i(v8) & $i(v7))) & ( ~ (v4 = v3) | (v11 =
% 39.81/6.35 v10 & capability(v0, v2) = v10 & capability(v0, v1) = v10 & $i(v10))
% 39.81/6.35 | ( ~ (v8 = v7) & stock_of_knowledge(v0, v2) = v7 &
% 39.81/6.35 stock_of_knowledge(v0, v1) = v8 & $i(v8) & $i(v7))) & ((v15 = 0 &
% 39.81/6.35 capability(v0, v2) = v10 & capability(v0, v1) = v11 & smaller(v10,
% 39.81/6.35 v11) = 0 & $i(v11) & $i(v10)) | ( ~ (v14 = 0) & greater(v3, v4) =
% 39.81/6.35 v14) | ( ~ (v13 = 0) & stock_of_knowledge(v0, v2) = v7 &
% 39.81/6.35 stock_of_knowledge(v0, v1) = v8 & smaller_or_equal(v7, v8) = v13 &
% 39.81/6.35 $i(v8) & $i(v7)))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 39.81/6.35 [v3: $i] : ! [v4: $i] : ! [v5: any] : ( ~ (stock_of_knowledge(v0, v2) = v3)
% 39.81/6.35 | ~ (stock_of_knowledge(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ~
% 39.81/6.35 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: int] : ? [v7: $i] : ? [v8: $i] :
% 39.81/6.35 ? [v9: int] : ? [v10: $i] : ? [v11: $i] : ? [v12: int] : ? [v13: int] :
% 39.81/6.35 ? [v14: int] : ? [v15: int] : (( ~ (v6 = 0) & organization(v0) = v6) | (( ~
% 39.81/6.35 (v5 = 0) | (v12 = 0 & capability(v0, v2) = v10 & capability(v0, v1) =
% 39.81/6.35 v11 & greater(v10, v11) = 0 & $i(v11) & $i(v10)) | ( ~ (v9 = 0) &
% 39.81/6.35 internal_friction(v0, v2) = v7 & internal_friction(v0, v1) = v8 &
% 39.81/6.35 smaller_or_equal(v7, v8) = v9 & $i(v8) & $i(v7))) & ( ~ (v4 = v3) |
% 39.81/6.35 (v11 = v10 & capability(v0, v2) = v10 & capability(v0, v1) = v10 &
% 39.81/6.35 $i(v10)) | ( ~ (v8 = v7) & internal_friction(v0, v2) = v7 &
% 39.81/6.35 internal_friction(v0, v1) = v8 & $i(v8) & $i(v7))) & ((v15 = 0 &
% 39.81/6.35 capability(v0, v2) = v10 & capability(v0, v1) = v11 & smaller(v10,
% 39.81/6.35 v11) = 0 & $i(v11) & $i(v10)) | ( ~ (v14 = 0) &
% 39.81/6.35 internal_friction(v0, v2) = v7 & internal_friction(v0, v1) = v8 &
% 39.81/6.35 greater(v7, v8) = v14 & $i(v8) & $i(v7)) | ( ~ (v13 = 0) &
% 39.81/6.35 smaller_or_equal(v3, v4) = v13))))) & ! [v0: $i] : ! [v1: $i] : !
% 39.81/6.35 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: any] : ( ~
% 39.81/6.35 (stock_of_knowledge(v0, v2) = v3) | ~ (stock_of_knowledge(v0, v1) = v4) |
% 39.81/6.35 ~ (smaller_or_equal(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 39.81/6.35 [v6: int] : ? [v7: int] : ? [v8: $i] : ? [v9: $i] : ? [v10: int] : ?
% 39.81/6.35 [v11: $i] : ? [v12: $i] : ? [v13: int] : ? [v14: int] : ? [v15: int] :
% 39.81/6.35 (( ~ (v6 = 0) & organization(v0) = v6) | (( ~ (v5 = 0) | (v15 = 0 &
% 39.81/6.35 capability(v0, v2) = v11 & capability(v0, v1) = v12 & smaller(v11,
% 39.81/6.35 v12) = 0 & $i(v12) & $i(v11)) | ( ~ (v14 = 0) &
% 39.81/6.35 internal_friction(v0, v2) = v8 & internal_friction(v0, v1) = v9 &
% 39.81/6.35 greater(v8, v9) = v14 & $i(v9) & $i(v8))) & ( ~ (v4 = v3) | (v12 =
% 39.81/6.35 v11 & capability(v0, v2) = v11 & capability(v0, v1) = v11 & $i(v11))
% 39.81/6.35 | ( ~ (v9 = v8) & internal_friction(v0, v2) = v8 &
% 39.81/6.35 internal_friction(v0, v1) = v9 & $i(v9) & $i(v8))) & ((v13 = 0 &
% 39.81/6.35 capability(v0, v2) = v11 & capability(v0, v1) = v12 & greater(v11,
% 39.81/6.35 v12) = 0 & $i(v12) & $i(v11)) | ( ~ (v10 = 0) &
% 39.81/6.35 internal_friction(v0, v2) = v8 & internal_friction(v0, v1) = v9 &
% 39.81/6.35 smaller_or_equal(v8, v9) = v10 & $i(v9) & $i(v8)) | ( ~ (v7 = 0) &
% 39.81/6.35 greater(v3, v4) = v7))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 39.81/6.35 : ! [v3: $i] : ! [v4: $i] : ! [v5: any] : ( ~ (capability(v0, v2) = v3) |
% 39.81/6.35 ~ (capability(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ~ $i(v2) | ~
% 39.81/6.35 $i(v1) | ~ $i(v0) | ? [v6: int] : ? [v7: $i] : ? [v8: $i] : ? [v9: int]
% 39.81/6.35 : ? [v10: $i] : ? [v11: $i] : ? [v12: int] : ? [v13: int] : ? [v14:
% 39.81/6.35 int] : ? [v15: int] : (( ~ (v6 = 0) & organization(v0) = v6) | ((v5 = 0 |
% 39.81/6.35 ( ~ (v12 = 0) & internal_friction(v0, v2) = v10 &
% 39.81/6.35 internal_friction(v0, v1) = v11 & smaller_or_equal(v10, v11) = v12 &
% 39.81/6.35 $i(v11) & $i(v10)) | ( ~ (v9 = 0) & stock_of_knowledge(v0, v2) = v7
% 39.81/6.35 & stock_of_knowledge(v0, v1) = v8 & greater(v7, v8) = v9 & $i(v8) &
% 39.81/6.35 $i(v7))) & (v4 = v3 | ( ~ (v11 = v10) & internal_friction(v0, v2) =
% 39.81/6.35 v10 & internal_friction(v0, v1) = v11 & $i(v11) & $i(v10)) | ( ~ (v8
% 39.81/6.35 = v7) & stock_of_knowledge(v0, v2) = v7 & stock_of_knowledge(v0,
% 39.81/6.35 v1) = v8 & $i(v8) & $i(v7))) & ((v15 = 0 & smaller(v3, v4) = 0) |
% 39.81/6.35 ( ~ (v14 = 0) & internal_friction(v0, v2) = v10 &
% 39.81/6.35 internal_friction(v0, v1) = v11 & greater(v10, v11) = v14 & $i(v11)
% 39.81/6.35 & $i(v10)) | ( ~ (v13 = 0) & stock_of_knowledge(v0, v2) = v7 &
% 39.81/6.35 stock_of_knowledge(v0, v1) = v8 & smaller_or_equal(v7, v8) = v13 &
% 39.81/6.35 $i(v8) & $i(v7)))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 39.81/6.35 [v3: $i] : ! [v4: $i] : ! [v5: any] : ( ~ (capability(v0, v2) = v3) | ~
% 39.81/6.35 (capability(v0, v1) = v4) | ~ (smaller(v3, v4) = v5) | ~ $i(v2) | ~
% 39.81/6.35 $i(v1) | ~ $i(v0) | ? [v6: int] : ? [v7: $i] : ? [v8: $i] : ? [v9: int]
% 39.81/6.35 : ? [v10: $i] : ? [v11: $i] : ? [v12: int] : ? [v13: int] : ? [v14:
% 39.81/6.35 int] : ? [v15: int] : (( ~ (v6 = 0) & organization(v0) = v6) | ((v5 = 0 |
% 39.81/6.35 ( ~ (v15 = 0) & internal_friction(v0, v2) = v10 &
% 39.81/6.35 internal_friction(v0, v1) = v11 & greater(v10, v11) = v15 & $i(v11)
% 39.81/6.35 & $i(v10)) | ( ~ (v14 = 0) & stock_of_knowledge(v0, v2) = v7 &
% 39.81/6.35 stock_of_knowledge(v0, v1) = v8 & smaller_or_equal(v7, v8) = v14 &
% 39.81/6.35 $i(v8) & $i(v7))) & (v4 = v3 | ( ~ (v11 = v10) &
% 39.81/6.35 internal_friction(v0, v2) = v10 & internal_friction(v0, v1) = v11 &
% 39.81/6.35 $i(v11) & $i(v10)) | ( ~ (v8 = v7) & stock_of_knowledge(v0, v2) = v7
% 39.81/6.35 & stock_of_knowledge(v0, v1) = v8 & $i(v8) & $i(v7))) & ((v13 = 0 &
% 39.81/6.35 greater(v3, v4) = 0) | ( ~ (v12 = 0) & internal_friction(v0, v2) =
% 39.81/6.35 v10 & internal_friction(v0, v1) = v11 & smaller_or_equal(v10, v11) =
% 39.81/6.35 v12 & $i(v11) & $i(v10)) | ( ~ (v9 = 0) & stock_of_knowledge(v0, v2)
% 39.81/6.35 = v7 & stock_of_knowledge(v0, v1) = v8 & greater(v7, v8) = v9 &
% 39.81/6.35 $i(v8) & $i(v7))))))
% 39.81/6.35
% 39.81/6.35 (assumption_6)
% 39.81/6.35 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 39.81/6.35 any] : ( ~ (external_ties(v0, v2) = v3) | ~ (external_ties(v0, v1) = v4) |
% 39.81/6.35 ~ (greater(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: int]
% 39.81/6.35 : ? [v7: $i] : ? [v8: $i] : ? [v9: int] : (( ~ (v6 = 0) &
% 39.81/6.35 organization(v0) = v6) | (( ~ (v5 = 0) | (v9 = 0 & position(v0, v2) = v7
% 39.81/6.35 & position(v0, v1) = v8 & greater(v7, v8) = 0 & $i(v8) & $i(v7))) &
% 39.81/6.35 ( ~ (v4 = v3) | (v8 = v7 & position(v0, v2) = v7 & position(v0, v1) = v7
% 39.81/6.35 & $i(v7)))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 39.81/6.35 $i] : ! [v4: $i] : ! [v5: any] : ( ~ (position(v0, v2) = v3) | ~
% 39.81/6.35 (position(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1)
% 39.81/6.35 | ~ $i(v0) | ? [v6: int] : ? [v7: $i] : ? [v8: $i] : ? [v9: int] : (( ~
% 39.81/6.35 (v6 = 0) & organization(v0) = v6) | ((v5 = 0 | ( ~ (v9 = 0) &
% 39.81/6.35 external_ties(v0, v2) = v7 & external_ties(v0, v1) = v8 &
% 39.81/6.35 greater(v7, v8) = v9 & $i(v8) & $i(v7))) & (v4 = v3 | ( ~ (v8 = v7)
% 39.81/6.35 & external_ties(v0, v2) = v7 & external_ties(v0, v1) = v8 & $i(v8) &
% 39.81/6.35 $i(v7))))))
% 39.81/6.35
% 39.81/6.35 (assumption_7)
% 40.41/6.36 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 40.41/6.36 int] : (v5 = 0 | ~ (stock_of_knowledge(v0, v2) = v3) | ~
% 40.41/6.36 (stock_of_knowledge(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ~ $i(v2) |
% 40.41/6.36 ~ $i(v1) | ~ $i(v0) | ? [v6: int] : ? [v7: $i] : ? [v8: $i] : ? [v9:
% 40.41/6.36 int] : (( ~ (v9 = 0) & age(v0, v2) = v7 & age(v0, v1) = v8 & greater(v7,
% 40.41/6.36 v8) = v9 & $i(v8) & $i(v7)) | ( ~ (v6 = 0) & organization(v0) = v6)))
% 40.41/6.36 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 40.41/6.36 (age(v0, v2) = v3) | ~ (age(v0, v1) = v4) | ~ (greater(v3, v4) = 0) | ~
% 40.41/6.36 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: int] : ? [v6: $i] : ? [v7: $i] :
% 40.41/6.36 ? [v8: int] : ((v8 = 0 & stock_of_knowledge(v0, v2) = v6 &
% 40.41/6.36 stock_of_knowledge(v0, v1) = v7 & greater(v6, v7) = 0 & $i(v7) & $i(v6))
% 40.41/6.36 | ( ~ (v5 = 0) & organization(v0) = v5)))
% 40.41/6.36
% 40.41/6.36 (assumption_8)
% 40.41/6.36 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 40.41/6.36 int] : (v5 = 0 | ~ (external_ties(v0, v2) = v3) | ~ (external_ties(v0, v1)
% 40.41/6.36 = v4) | ~ (greater(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 40.41/6.36 [v6: int] : ? [v7: $i] : ? [v8: $i] : ? [v9: int] : (( ~ (v9 = 0) &
% 40.41/6.36 age(v0, v2) = v7 & age(v0, v1) = v8 & greater(v7, v8) = v9 & $i(v8) &
% 40.41/6.36 $i(v7)) | ( ~ (v6 = 0) & organization(v0) = v6))) & ! [v0: $i] : !
% 40.41/6.36 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (age(v0, v2) = v3) |
% 40.41/6.36 ~ (age(v0, v1) = v4) | ~ (greater(v3, v4) = 0) | ~ $i(v2) | ~ $i(v1) | ~
% 40.41/6.36 $i(v0) | ? [v5: int] : ? [v6: $i] : ? [v7: $i] : ? [v8: int] : ((v8 = 0
% 40.41/6.36 & external_ties(v0, v2) = v6 & external_ties(v0, v1) = v7 & greater(v6,
% 40.41/6.36 v7) = 0 & $i(v7) & $i(v6)) | ( ~ (v5 = 0) & organization(v0) = v5)))
% 40.41/6.36
% 40.41/6.36 (assumption_9)
% 40.41/6.36 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v3
% 40.41/6.36 | ~ (internal_friction(v0, v2) = v3) | ~ (internal_friction(v0, v1) = v4)
% 40.41/6.36 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: int] : ( ~ (v5 = 0) &
% 40.41/6.36 organization(v0) = v5))
% 40.41/6.36
% 40.41/6.36 (definition_greater_or_equal)
% 40.41/6.36 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | v1 = v0 | ~ (greater(v0,
% 40.41/6.36 v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) &
% 40.41/6.36 greater_or_equal(v0, v1) = v3)) & ! [v0: $i] : ! [v1: $i] : ! [v2: int]
% 40.41/6.36 : (v2 = 0 | ~ (greater_or_equal(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ?
% 40.41/6.36 [v3: int] : ( ~ (v3 = 0) & greater(v0, v1) = v3)) & ! [v0: $i] : ! [v1:
% 40.41/6.36 $i] : (v1 = v0 | ~ (greater_or_equal(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) |
% 40.41/6.36 greater(v0, v1) = 0) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~
% 40.41/6.36 (greater_or_equal(v0, v0) = v1) | ~ $i(v0)) & ! [v0: $i] : ! [v1: $i] : (
% 40.41/6.36 ~ (greater(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | greater_or_equal(v0, v1) =
% 40.41/6.36 0) & ! [v0: $i] : ! [v1: MultipleValueBool] : ( ~ (greater(v0, v0) = v1) |
% 40.41/6.36 ~ $i(v0) | greater_or_equal(v0, v0) = 0)
% 40.41/6.36
% 40.41/6.36 (definition_smaller)
% 40.41/6.36 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (greater(v1, v0) = v2)
% 40.41/6.36 | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) & smaller(v0, v1) =
% 40.41/6.36 v3)) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 40.41/6.36 (smaller(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0)
% 40.41/6.36 & greater(v1, v0) = v3)) & ! [v0: $i] : ! [v1: $i] : ( ~ (greater(v1,
% 40.41/6.36 v0) = 0) | ~ $i(v1) | ~ $i(v0) | smaller(v0, v1) = 0) & ! [v0: $i] :
% 40.41/6.36 ! [v1: $i] : ( ~ (smaller(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | greater(v1,
% 40.41/6.36 v0) = 0)
% 40.41/6.36
% 40.41/6.36 (definition_smaller_or_equal)
% 40.41/6.36 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | v1 = v0 | ~ (smaller(v0,
% 40.41/6.36 v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) &
% 40.41/6.36 smaller_or_equal(v0, v1) = v3)) & ! [v0: $i] : ! [v1: $i] : ! [v2: int]
% 40.41/6.36 : (v2 = 0 | ~ (smaller_or_equal(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ?
% 40.41/6.36 [v3: int] : ( ~ (v3 = 0) & smaller(v0, v1) = v3)) & ! [v0: $i] : ! [v1:
% 40.41/6.36 $i] : (v1 = v0 | ~ (smaller_or_equal(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) |
% 40.41/6.36 smaller(v0, v1) = 0) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~
% 40.41/6.36 (smaller_or_equal(v0, v0) = v1) | ~ $i(v0)) & ! [v0: $i] : ! [v1: $i] : (
% 40.41/6.36 ~ (smaller(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | smaller_or_equal(v0, v1) =
% 40.41/6.36 0) & ! [v0: $i] : ! [v1: MultipleValueBool] : ( ~ (smaller(v0, v0) = v1) |
% 40.41/6.36 ~ $i(v0) | smaller_or_equal(v0, v0) = 0)
% 40.41/6.36
% 40.41/6.36 (meaning_postulate_greater_strict)
% 40.41/6.37 ! [v0: $i] : ! [v1: $i] : ( ~ (greater(v1, v0) = 0) | ~ $i(v1) | ~ $i(v0)
% 40.41/6.37 | ? [v2: int] : ( ~ (v2 = 0) & greater(v0, v1) = v2)) & ! [v0: $i] : !
% 40.41/6.37 [v1: $i] : ( ~ (greater(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: int] :
% 40.41/6.37 ( ~ (v2 = 0) & greater(v1, v0) = v2))
% 40.41/6.37
% 40.41/6.37 (theorem_1)
% 40.41/6.37 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: int] : ? [v4: $i] : ? [v5:
% 40.41/6.37 $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: int] : ( ~ (v8 = 0) & ~ (v3 = 0)
% 40.41/6.37 & age(v0, v2) = v4 & age(v0, v1) = v5 & hazard_of_mortality(v0, v2) = v6 &
% 40.41/6.37 hazard_of_mortality(v0, v1) = v7 & organization(v0) = 0 & has_endowment(v0)
% 40.41/6.37 = v3 & greater(v4, v5) = 0 & smaller(v6, v7) = v8 & $i(v7) & $i(v6) & $i(v5)
% 40.41/6.37 & $i(v4) & $i(v2) & $i(v1) & $i(v0))
% 40.41/6.37
% 40.41/6.37 (function-axioms)
% 40.41/6.37 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (age(v3,
% 40.41/6.37 v2) = v1) | ~ (age(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.41/6.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (external_ties(v3, v2) = v1) | ~
% 40.41/6.37 (external_ties(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 40.41/6.37 [v3: $i] : (v1 = v0 | ~ (internal_friction(v3, v2) = v1) | ~
% 40.41/6.37 (internal_friction(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 40.41/6.37 : ! [v3: $i] : (v1 = v0 | ~ (stock_of_knowledge(v3, v2) = v1) | ~
% 40.41/6.37 (stock_of_knowledge(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 40.41/6.37 : ! [v3: $i] : (v1 = v0 | ~ (position(v3, v2) = v1) | ~ (position(v3, v2) =
% 40.41/6.37 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 |
% 40.41/6.37 ~ (capability(v3, v2) = v1) | ~ (capability(v3, v2) = v0)) & ! [v0: $i] :
% 40.41/6.37 ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 40.41/6.37 (hazard_of_mortality(v3, v2) = v1) | ~ (hazard_of_mortality(v3, v2) = v0))
% 40.41/6.37 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 40.41/6.37 [v3: $i] : (v1 = v0 | ~ (has_immunity(v3, v2) = v1) | ~ (has_immunity(v3,
% 40.41/6.37 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 40.41/6.37 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (greater(v3, v2) = v1) | ~
% 40.41/6.37 (greater(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 40.41/6.37 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 40.41/6.37 (greater_or_equal(v3, v2) = v1) | ~ (greater_or_equal(v3, v2) = v0)) & !
% 40.41/6.37 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 40.41/6.37 $i] : (v1 = v0 | ~ (smaller(v3, v2) = v1) | ~ (smaller(v3, v2) = v0)) & !
% 40.41/6.37 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 40.41/6.37 $i] : (v1 = v0 | ~ (smaller_or_equal(v3, v2) = v1) | ~
% 40.41/6.37 (smaller_or_equal(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 40.41/6.37 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (organization(v2) = v1) |
% 40.41/6.37 ~ (organization(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 40.41/6.37 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (has_endowment(v2) = v1) |
% 40.41/6.37 ~ (has_endowment(v2) = v0))
% 40.41/6.37
% 40.41/6.37 Further assumptions not needed in the proof:
% 40.41/6.37 --------------------------------------------
% 40.41/6.37 meaning_postulate_greater_comparable, meaning_postulate_greater_transitive
% 40.41/6.37
% 40.41/6.37 Those formulas are unsatisfiable:
% 40.41/6.37 ---------------------------------
% 40.41/6.37
% 40.41/6.37 Begin of proof
% 40.41/6.37 |
% 40.41/6.37 | ALPHA: (definition_smaller_or_equal) implies:
% 40.41/6.37 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ (smaller(v0, v1) = 0) | ~ $i(v1) | ~
% 40.41/6.37 | $i(v0) | smaller_or_equal(v0, v1) = 0)
% 40.41/6.37 | (2) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (smaller_or_equal(v0, v0) =
% 40.41/6.37 | v1) | ~ $i(v0))
% 40.41/6.37 |
% 40.41/6.37 | ALPHA: (definition_greater_or_equal) implies:
% 40.41/6.37 | (3) ! [v0: $i] : ! [v1: $i] : ( ~ (greater(v0, v1) = 0) | ~ $i(v1) | ~
% 40.41/6.37 | $i(v0) | greater_or_equal(v0, v1) = 0)
% 40.41/6.37 |
% 40.41/6.37 | ALPHA: (definition_smaller) implies:
% 40.41/6.37 | (4) ! [v0: $i] : ! [v1: $i] : ( ~ (greater(v1, v0) = 0) | ~ $i(v1) | ~
% 40.41/6.37 | $i(v0) | smaller(v0, v1) = 0)
% 40.41/6.37 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (greater(v1,
% 40.41/6.37 | v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) &
% 40.41/6.37 | smaller(v0, v1) = v3))
% 40.41/6.37 |
% 40.41/6.37 | ALPHA: (meaning_postulate_greater_strict) implies:
% 40.41/6.38 | (6) ! [v0: $i] : ! [v1: $i] : ( ~ (greater(v1, v0) = 0) | ~ $i(v1) | ~
% 40.41/6.38 | $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & greater(v0, v1) = v2))
% 40.41/6.38 |
% 40.41/6.38 | ALPHA: (assumption_4) implies:
% 40.41/6.38 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 40.41/6.38 | ! [v5: any] : ( ~ (position(v0, v2) = v3) | ~ (position(v0, v1) = v4)
% 40.41/6.38 | | ~ (greater_or_equal(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~
% 40.41/6.38 | $i(v0) | ? [v6: int] : ? [v7: int] : ? [v8: int] : ? [v9: $i] :
% 40.41/6.38 | ? [v10: $i] : ? [v11: int] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 40.41/6.38 | int] : ? [v15: int] : ? [v16: int] : ((v8 = 0 & has_immunity(v0,
% 40.41/6.38 | v2) = 0) | (v7 = 0 & has_immunity(v0, v1) = 0) | ( ~ (v6 = 0) &
% 40.41/6.38 | organization(v0) = v6) | (( ~ (v4 = v3) | (v13 = v12 &
% 40.41/6.38 | hazard_of_mortality(v0, v2) = v12 & hazard_of_mortality(v0,
% 40.41/6.38 | v1) = v12 & $i(v12)) | ( ~ (v10 = v9) & capability(v0, v2)
% 40.41/6.38 | = v9 & capability(v0, v1) = v10 & $i(v10) & $i(v9))) & ((v14
% 40.41/6.38 | = 0 & hazard_of_mortality(v0, v2) = v12 &
% 40.41/6.38 | hazard_of_mortality(v0, v1) = v13 & smaller(v12, v13) = 0 &
% 40.41/6.38 | $i(v13) & $i(v12)) | (( ~ (v5 = 0) | ( ~ (v11 = 0) &
% 40.41/6.38 | capability(v0, v2) = v9 & capability(v0, v1) = v10 &
% 40.41/6.38 | greater(v9, v10) = v11 & $i(v10) & $i(v9))) & (( ~ (v16 =
% 40.41/6.38 | 0) & greater(v3, v4) = v16) | ( ~ (v15 = 0) &
% 40.41/6.38 | capability(v0, v2) = v9 & capability(v0, v1) = v10 &
% 40.41/6.38 | greater_or_equal(v9, v10) = v15 & $i(v10) & $i(v9))))))))
% 40.41/6.38 | (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 40.41/6.38 | ! [v5: any] : ( ~ (position(v0, v2) = v3) | ~ (position(v0, v1) = v4)
% 40.41/6.38 | | ~ (greater(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 40.41/6.38 | [v6: int] : ? [v7: int] : ? [v8: int] : ? [v9: $i] : ? [v10: $i]
% 40.41/6.38 | : ? [v11: int] : ? [v12: int] : ? [v13: $i] : ? [v14: $i] : ?
% 40.41/6.38 | [v15: int] : ? [v16: int] : ((v8 = 0 & has_immunity(v0, v2) = 0) |
% 40.41/6.38 | (v7 = 0 & has_immunity(v0, v1) = 0) | ( ~ (v6 = 0) &
% 40.41/6.38 | organization(v0) = v6) | (( ~ (v4 = v3) | (v14 = v13 &
% 40.41/6.38 | hazard_of_mortality(v0, v2) = v13 & hazard_of_mortality(v0,
% 40.41/6.38 | v1) = v13 & $i(v13)) | ( ~ (v10 = v9) & capability(v0, v2)
% 40.41/6.38 | = v9 & capability(v0, v1) = v10 & $i(v10) & $i(v9))) & ((v15
% 40.41/6.38 | = 0 & hazard_of_mortality(v0, v2) = v13 &
% 40.41/6.38 | hazard_of_mortality(v0, v1) = v14 & smaller(v13, v14) = 0 &
% 40.41/6.38 | $i(v14) & $i(v13)) | (( ~ (v5 = 0) | ( ~ (v16 = 0) &
% 40.41/6.38 | capability(v0, v2) = v9 & capability(v0, v1) = v10 &
% 40.41/6.38 | greater_or_equal(v9, v10) = v16 & $i(v10) & $i(v9))) & ((
% 40.41/6.38 | ~ (v12 = 0) & greater_or_equal(v3, v4) = v12) | ( ~ (v11
% 40.41/6.38 | = 0) & capability(v0, v2) = v9 & capability(v0, v1) =
% 40.41/6.38 | v10 & greater(v9, v10) = v11 & $i(v10) & $i(v9))))))))
% 40.41/6.38 |
% 40.41/6.38 | ALPHA: (assumption_5) implies:
% 40.41/6.38 | (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 40.41/6.38 | ! [v5: any] : ( ~ (capability(v0, v2) = v3) | ~ (capability(v0, v1) =
% 40.41/6.38 | v4) | ~ (greater(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0)
% 40.41/6.38 | | ? [v6: int] : ? [v7: $i] : ? [v8: $i] : ? [v9: int] : ? [v10:
% 40.41/6.38 | $i] : ? [v11: $i] : ? [v12: int] : ? [v13: int] : ? [v14: int]
% 40.41/6.38 | : ? [v15: int] : (( ~ (v6 = 0) & organization(v0) = v6) | ((v5 = 0 |
% 40.41/6.38 | ( ~ (v12 = 0) & internal_friction(v0, v2) = v10 &
% 40.41/6.38 | internal_friction(v0, v1) = v11 & smaller_or_equal(v10, v11)
% 40.41/6.38 | = v12 & $i(v11) & $i(v10)) | ( ~ (v9 = 0) &
% 40.41/6.38 | stock_of_knowledge(v0, v2) = v7 & stock_of_knowledge(v0, v1)
% 40.41/6.38 | = v8 & greater(v7, v8) = v9 & $i(v8) & $i(v7))) & (v4 = v3 |
% 40.41/6.38 | ( ~ (v11 = v10) & internal_friction(v0, v2) = v10 &
% 40.41/6.38 | internal_friction(v0, v1) = v11 & $i(v11) & $i(v10)) | ( ~
% 40.41/6.38 | (v8 = v7) & stock_of_knowledge(v0, v2) = v7 &
% 40.41/6.38 | stock_of_knowledge(v0, v1) = v8 & $i(v8) & $i(v7))) & ((v15 =
% 40.41/6.38 | 0 & smaller(v3, v4) = 0) | ( ~ (v14 = 0) &
% 40.41/6.38 | internal_friction(v0, v2) = v10 & internal_friction(v0, v1) =
% 40.41/6.38 | v11 & greater(v10, v11) = v14 & $i(v11) & $i(v10)) | ( ~ (v13
% 40.41/6.38 | = 0) & stock_of_knowledge(v0, v2) = v7 &
% 40.41/6.38 | stock_of_knowledge(v0, v1) = v8 & smaller_or_equal(v7, v8) =
% 40.41/6.38 | v13 & $i(v8) & $i(v7))))))
% 40.41/6.39 | (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 40.41/6.39 | ! [v5: any] : ( ~ (stock_of_knowledge(v0, v2) = v3) | ~
% 40.41/6.39 | (stock_of_knowledge(v0, v1) = v4) | ~ (smaller_or_equal(v3, v4) =
% 40.41/6.39 | v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: int] : ? [v7:
% 40.41/6.39 | int] : ? [v8: $i] : ? [v9: $i] : ? [v10: int] : ? [v11: $i] :
% 40.41/6.39 | ? [v12: $i] : ? [v13: int] : ? [v14: int] : ? [v15: int] : (( ~
% 40.41/6.39 | (v6 = 0) & organization(v0) = v6) | (( ~ (v5 = 0) | (v15 = 0 &
% 40.41/6.39 | capability(v0, v2) = v11 & capability(v0, v1) = v12 &
% 40.41/6.39 | smaller(v11, v12) = 0 & $i(v12) & $i(v11)) | ( ~ (v14 = 0) &
% 40.41/6.39 | internal_friction(v0, v2) = v8 & internal_friction(v0, v1) =
% 40.41/6.39 | v9 & greater(v8, v9) = v14 & $i(v9) & $i(v8))) & ( ~ (v4 =
% 40.41/6.39 | v3) | (v12 = v11 & capability(v0, v2) = v11 & capability(v0,
% 40.41/6.39 | v1) = v11 & $i(v11)) | ( ~ (v9 = v8) &
% 40.41/6.39 | internal_friction(v0, v2) = v8 & internal_friction(v0, v1) =
% 40.41/6.39 | v9 & $i(v9) & $i(v8))) & ((v13 = 0 & capability(v0, v2) =
% 40.41/6.39 | v11 & capability(v0, v1) = v12 & greater(v11, v12) = 0 &
% 40.41/6.39 | $i(v12) & $i(v11)) | ( ~ (v10 = 0) & internal_friction(v0,
% 40.41/6.39 | v2) = v8 & internal_friction(v0, v1) = v9 &
% 40.41/6.39 | smaller_or_equal(v8, v9) = v10 & $i(v9) & $i(v8)) | ( ~ (v7
% 40.41/6.39 | = 0) & greater(v3, v4) = v7)))))
% 40.41/6.39 | (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 40.41/6.39 | ! [v5: any] : ( ~ (stock_of_knowledge(v0, v2) = v3) | ~
% 40.41/6.39 | (stock_of_knowledge(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ~
% 40.41/6.39 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: int] : ? [v7: $i] : ?
% 40.41/6.39 | [v8: $i] : ? [v9: int] : ? [v10: $i] : ? [v11: $i] : ? [v12:
% 40.41/6.39 | int] : ? [v13: int] : ? [v14: int] : ? [v15: int] : (( ~ (v6 =
% 40.41/6.39 | 0) & organization(v0) = v6) | (( ~ (v5 = 0) | (v12 = 0 &
% 40.41/6.39 | capability(v0, v2) = v10 & capability(v0, v1) = v11 &
% 40.41/6.39 | greater(v10, v11) = 0 & $i(v11) & $i(v10)) | ( ~ (v9 = 0) &
% 40.41/6.39 | internal_friction(v0, v2) = v7 & internal_friction(v0, v1) =
% 40.41/6.39 | v8 & smaller_or_equal(v7, v8) = v9 & $i(v8) & $i(v7))) & ( ~
% 40.41/6.39 | (v4 = v3) | (v11 = v10 & capability(v0, v2) = v10 &
% 40.41/6.39 | capability(v0, v1) = v10 & $i(v10)) | ( ~ (v8 = v7) &
% 40.41/6.39 | internal_friction(v0, v2) = v7 & internal_friction(v0, v1) =
% 40.41/6.39 | v8 & $i(v8) & $i(v7))) & ((v15 = 0 & capability(v0, v2) =
% 40.41/6.39 | v10 & capability(v0, v1) = v11 & smaller(v10, v11) = 0 &
% 40.41/6.39 | $i(v11) & $i(v10)) | ( ~ (v14 = 0) & internal_friction(v0,
% 40.41/6.39 | v2) = v7 & internal_friction(v0, v1) = v8 & greater(v7,
% 40.41/6.39 | v8) = v14 & $i(v8) & $i(v7)) | ( ~ (v13 = 0) &
% 40.41/6.39 | smaller_or_equal(v3, v4) = v13)))))
% 40.41/6.39 |
% 40.41/6.39 | ALPHA: (assumption_6) implies:
% 40.41/6.39 | (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 40.41/6.39 | ! [v5: any] : ( ~ (external_ties(v0, v2) = v3) | ~ (external_ties(v0,
% 40.41/6.39 | v1) = v4) | ~ (greater(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) |
% 40.41/6.39 | ~ $i(v0) | ? [v6: int] : ? [v7: $i] : ? [v8: $i] : ? [v9: int] :
% 40.41/6.39 | (( ~ (v6 = 0) & organization(v0) = v6) | (( ~ (v5 = 0) | (v9 = 0 &
% 40.41/6.39 | position(v0, v2) = v7 & position(v0, v1) = v8 & greater(v7,
% 40.41/6.39 | v8) = 0 & $i(v8) & $i(v7))) & ( ~ (v4 = v3) | (v8 = v7 &
% 40.41/6.39 | position(v0, v2) = v7 & position(v0, v1) = v7 & $i(v7))))))
% 40.41/6.39 |
% 40.41/6.39 | ALPHA: (assumption_7) implies:
% 40.41/6.39 | (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 40.41/6.39 | ( ~ (age(v0, v2) = v3) | ~ (age(v0, v1) = v4) | ~ (greater(v3, v4) =
% 40.41/6.39 | 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: int] : ? [v6:
% 40.41/6.39 | $i] : ? [v7: $i] : ? [v8: int] : ((v8 = 0 &
% 40.41/6.39 | stock_of_knowledge(v0, v2) = v6 & stock_of_knowledge(v0, v1) =
% 40.41/6.39 | v7 & greater(v6, v7) = 0 & $i(v7) & $i(v6)) | ( ~ (v5 = 0) &
% 40.41/6.39 | organization(v0) = v5)))
% 40.41/6.39 |
% 40.41/6.39 | ALPHA: (assumption_8) implies:
% 40.41/6.39 | (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 40.41/6.39 | ( ~ (age(v0, v2) = v3) | ~ (age(v0, v1) = v4) | ~ (greater(v3, v4) =
% 40.41/6.39 | 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: int] : ? [v6:
% 40.41/6.39 | $i] : ? [v7: $i] : ? [v8: int] : ((v8 = 0 & external_ties(v0,
% 40.41/6.39 | v2) = v6 & external_ties(v0, v1) = v7 & greater(v6, v7) = 0 &
% 40.41/6.39 | $i(v7) & $i(v6)) | ( ~ (v5 = 0) & organization(v0) = v5)))
% 40.41/6.39 |
% 40.41/6.39 | ALPHA: (function-axioms) implies:
% 40.41/6.39 | (15) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 40.41/6.39 | : (v1 = v0 | ~ (has_endowment(v2) = v1) | ~ (has_endowment(v2) =
% 40.41/6.39 | v0))
% 40.41/6.39 | (16) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 40.41/6.39 | : (v1 = v0 | ~ (organization(v2) = v1) | ~ (organization(v2) = v0))
% 40.41/6.39 | (17) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 40.41/6.39 | : ! [v3: $i] : (v1 = v0 | ~ (smaller_or_equal(v3, v2) = v1) | ~
% 40.41/6.39 | (smaller_or_equal(v3, v2) = v0))
% 40.41/6.39 | (18) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 40.41/6.39 | : ! [v3: $i] : (v1 = v0 | ~ (smaller(v3, v2) = v1) | ~ (smaller(v3,
% 40.41/6.39 | v2) = v0))
% 40.41/6.39 | (19) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 40.41/6.39 | : ! [v3: $i] : (v1 = v0 | ~ (greater_or_equal(v3, v2) = v1) | ~
% 40.41/6.39 | (greater_or_equal(v3, v2) = v0))
% 40.41/6.39 | (20) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 40.41/6.39 | : ! [v3: $i] : (v1 = v0 | ~ (greater(v3, v2) = v1) | ~ (greater(v3,
% 40.41/6.39 | v2) = v0))
% 40.41/6.39 | (21) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 40.41/6.39 | (hazard_of_mortality(v3, v2) = v1) | ~ (hazard_of_mortality(v3, v2)
% 40.41/6.39 | = v0))
% 40.41/6.39 | (22) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 40.41/6.39 | (capability(v3, v2) = v1) | ~ (capability(v3, v2) = v0))
% 40.41/6.39 | (23) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 40.41/6.39 | (stock_of_knowledge(v3, v2) = v1) | ~ (stock_of_knowledge(v3, v2) =
% 40.41/6.39 | v0))
% 40.41/6.39 | (24) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 40.41/6.39 | (internal_friction(v3, v2) = v1) | ~ (internal_friction(v3, v2) =
% 40.41/6.39 | v0))
% 40.41/6.39 |
% 40.41/6.39 | DELTA: instantiating (theorem_1) with fresh symbols all_16_0, all_16_1,
% 40.41/6.39 | all_16_2, all_16_3, all_16_4, all_16_5, all_16_6, all_16_7, all_16_8
% 40.41/6.39 | gives:
% 40.41/6.40 | (25) ~ (all_16_0 = 0) & ~ (all_16_5 = 0) & age(all_16_8, all_16_6) =
% 40.41/6.40 | all_16_4 & age(all_16_8, all_16_7) = all_16_3 &
% 40.41/6.40 | hazard_of_mortality(all_16_8, all_16_6) = all_16_2 &
% 40.41/6.40 | hazard_of_mortality(all_16_8, all_16_7) = all_16_1 &
% 40.41/6.40 | organization(all_16_8) = 0 & has_endowment(all_16_8) = all_16_5 &
% 40.41/6.40 | greater(all_16_4, all_16_3) = 0 & smaller(all_16_2, all_16_1) =
% 40.41/6.40 | all_16_0 & $i(all_16_1) & $i(all_16_2) & $i(all_16_3) & $i(all_16_4) &
% 40.41/6.40 | $i(all_16_6) & $i(all_16_7) & $i(all_16_8)
% 40.41/6.40 |
% 40.41/6.40 | ALPHA: (25) implies:
% 40.41/6.40 | (26) ~ (all_16_5 = 0)
% 40.41/6.40 | (27) ~ (all_16_0 = 0)
% 40.41/6.40 | (28) $i(all_16_8)
% 40.41/6.40 | (29) $i(all_16_7)
% 40.41/6.40 | (30) $i(all_16_6)
% 40.41/6.40 | (31) $i(all_16_4)
% 40.41/6.40 | (32) $i(all_16_3)
% 40.41/6.40 | (33) smaller(all_16_2, all_16_1) = all_16_0
% 40.41/6.40 | (34) greater(all_16_4, all_16_3) = 0
% 40.41/6.40 | (35) has_endowment(all_16_8) = all_16_5
% 40.41/6.40 | (36) organization(all_16_8) = 0
% 40.41/6.40 | (37) hazard_of_mortality(all_16_8, all_16_7) = all_16_1
% 40.41/6.40 | (38) hazard_of_mortality(all_16_8, all_16_6) = all_16_2
% 40.41/6.40 | (39) age(all_16_8, all_16_7) = all_16_3
% 40.41/6.40 | (40) age(all_16_8, all_16_6) = all_16_4
% 40.41/6.40 |
% 40.41/6.40 | GROUND_INST: instantiating (6) with all_16_3, all_16_4, simplifying with (31),
% 40.41/6.40 | (32), (34) gives:
% 40.41/6.40 | (41) ? [v0: int] : ( ~ (v0 = 0) & greater(all_16_3, all_16_4) = v0)
% 40.41/6.40 |
% 40.41/6.40 | GROUND_INST: instantiating (14) with all_16_8, all_16_7, all_16_6, all_16_4,
% 40.41/6.40 | all_16_3, simplifying with (28), (29), (30), (34), (39), (40)
% 40.41/6.40 | gives:
% 40.41/6.40 | (42) ? [v0: int] : ? [v1: $i] : ? [v2: $i] : ? [v3: int] : ((v3 = 0 &
% 40.41/6.40 | external_ties(all_16_8, all_16_6) = v1 & external_ties(all_16_8,
% 40.41/6.40 | all_16_7) = v2 & greater(v1, v2) = 0 & $i(v2) & $i(v1)) | ( ~
% 40.41/6.40 | (v0 = 0) & organization(all_16_8) = v0))
% 40.41/6.40 |
% 40.41/6.40 | GROUND_INST: instantiating (13) with all_16_8, all_16_7, all_16_6, all_16_4,
% 40.41/6.40 | all_16_3, simplifying with (28), (29), (30), (34), (39), (40)
% 40.41/6.40 | gives:
% 40.41/6.40 | (43) ? [v0: int] : ? [v1: $i] : ? [v2: $i] : ? [v3: int] : ((v3 = 0 &
% 40.41/6.40 | stock_of_knowledge(all_16_8, all_16_6) = v1 &
% 40.41/6.40 | stock_of_knowledge(all_16_8, all_16_7) = v2 & greater(v1, v2) = 0
% 40.41/6.40 | & $i(v2) & $i(v1)) | ( ~ (v0 = 0) & organization(all_16_8) = v0))
% 40.41/6.40 |
% 40.41/6.40 | DELTA: instantiating (41) with fresh symbol all_24_0 gives:
% 40.41/6.40 | (44) ~ (all_24_0 = 0) & greater(all_16_3, all_16_4) = all_24_0
% 40.41/6.40 |
% 40.41/6.40 | ALPHA: (44) implies:
% 40.41/6.40 | (45) ~ (all_24_0 = 0)
% 40.41/6.40 | (46) greater(all_16_3, all_16_4) = all_24_0
% 40.41/6.40 |
% 40.41/6.40 | DELTA: instantiating (43) with fresh symbols all_26_0, all_26_1, all_26_2,
% 40.41/6.40 | all_26_3 gives:
% 40.41/6.40 | (47) (all_26_0 = 0 & stock_of_knowledge(all_16_8, all_16_6) = all_26_2 &
% 40.41/6.40 | stock_of_knowledge(all_16_8, all_16_7) = all_26_1 &
% 40.41/6.40 | greater(all_26_2, all_26_1) = 0 & $i(all_26_1) & $i(all_26_2)) | ( ~
% 40.41/6.40 | (all_26_3 = 0) & organization(all_16_8) = all_26_3)
% 40.41/6.40 |
% 40.41/6.40 | DELTA: instantiating (42) with fresh symbols all_27_0, all_27_1, all_27_2,
% 40.41/6.40 | all_27_3 gives:
% 40.41/6.40 | (48) (all_27_0 = 0 & external_ties(all_16_8, all_16_6) = all_27_2 &
% 40.41/6.40 | external_ties(all_16_8, all_16_7) = all_27_1 & greater(all_27_2,
% 40.41/6.40 | all_27_1) = 0 & $i(all_27_1) & $i(all_27_2)) | ( ~ (all_27_3 = 0)
% 40.41/6.40 | & organization(all_16_8) = all_27_3)
% 40.41/6.40 |
% 40.41/6.40 | BETA: splitting (47) gives:
% 40.41/6.40 |
% 40.41/6.40 | Case 1:
% 40.41/6.40 | |
% 40.41/6.40 | | (49) all_26_0 = 0 & stock_of_knowledge(all_16_8, all_16_6) = all_26_2 &
% 40.41/6.40 | | stock_of_knowledge(all_16_8, all_16_7) = all_26_1 &
% 40.41/6.40 | | greater(all_26_2, all_26_1) = 0 & $i(all_26_1) & $i(all_26_2)
% 40.41/6.40 | |
% 40.41/6.40 | | ALPHA: (49) implies:
% 40.41/6.40 | | (50) $i(all_26_2)
% 40.41/6.40 | | (51) $i(all_26_1)
% 40.41/6.40 | | (52) greater(all_26_2, all_26_1) = 0
% 40.41/6.40 | | (53) stock_of_knowledge(all_16_8, all_16_7) = all_26_1
% 40.41/6.40 | | (54) stock_of_knowledge(all_16_8, all_16_6) = all_26_2
% 40.41/6.40 | |
% 40.41/6.40 | | BETA: splitting (48) gives:
% 40.41/6.40 | |
% 40.41/6.40 | | Case 1:
% 40.41/6.40 | | |
% 40.41/6.40 | | | (55) all_27_0 = 0 & external_ties(all_16_8, all_16_6) = all_27_2 &
% 40.41/6.40 | | | external_ties(all_16_8, all_16_7) = all_27_1 & greater(all_27_2,
% 40.41/6.40 | | | all_27_1) = 0 & $i(all_27_1) & $i(all_27_2)
% 40.41/6.40 | | |
% 40.41/6.40 | | | ALPHA: (55) implies:
% 40.41/6.40 | | | (56) greater(all_27_2, all_27_1) = 0
% 40.41/6.40 | | | (57) external_ties(all_16_8, all_16_7) = all_27_1
% 40.41/6.40 | | | (58) external_ties(all_16_8, all_16_6) = all_27_2
% 40.41/6.40 | | |
% 40.41/6.40 | | | GROUND_INST: instantiating (5) with all_16_4, all_16_3, all_24_0,
% 40.41/6.40 | | | simplifying with (31), (32), (46) gives:
% 40.41/6.40 | | | (59) all_24_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) & smaller(all_16_4,
% 40.41/6.40 | | | all_16_3) = v0)
% 40.41/6.40 | | |
% 40.41/6.40 | | | GROUND_INST: instantiating (4) with all_26_1, all_26_2, simplifying with
% 40.41/6.40 | | | (50), (51), (52) gives:
% 40.41/6.40 | | | (60) smaller(all_26_1, all_26_2) = 0
% 40.41/6.40 | | |
% 40.41/6.40 | | | GROUND_INST: instantiating (6) with all_26_1, all_26_2, simplifying with
% 40.41/6.40 | | | (50), (51), (52) gives:
% 40.41/6.40 | | | (61) ? [v0: int] : ( ~ (v0 = 0) & greater(all_26_1, all_26_2) = v0)
% 40.41/6.40 | | |
% 40.41/6.40 | | | GROUND_INST: instantiating (11) with all_16_8, all_16_7, all_16_6,
% 40.41/6.40 | | | all_26_2, all_26_1, 0, simplifying with (28), (29), (30),
% 40.41/6.40 | | | (52), (53), (54) gives:
% 40.41/6.40 | | | (62) ? [v0: int] : ? [v1: $i] : ? [v2: $i] : ? [v3: int] : ? [v4:
% 40.41/6.40 | | | $i] : ? [v5: $i] : ? [v6: int] : ? [v7: int] : ? [v8: int] :
% 40.41/6.40 | | | ? [v9: int] : (( ~ (v0 = 0) & organization(all_16_8) = v0) | (( ~
% 40.41/6.40 | | | (all_26_1 = all_26_2) | (v5 = v4 & capability(all_16_8,
% 40.41/6.40 | | | all_16_6) = v4 & capability(all_16_8, all_16_7) = v4 &
% 40.41/6.40 | | | $i(v4)) | ( ~ (v2 = v1) & internal_friction(all_16_8,
% 40.41/6.40 | | | all_16_6) = v1 & internal_friction(all_16_8, all_16_7) =
% 40.41/6.40 | | | v2 & $i(v2) & $i(v1))) & ((v9 = 0 & capability(all_16_8,
% 40.41/6.40 | | | all_16_6) = v4 & capability(all_16_8, all_16_7) = v5 &
% 40.41/6.40 | | | smaller(v4, v5) = 0 & $i(v5) & $i(v4)) | ( ~ (v8 = 0) &
% 40.41/6.40 | | | internal_friction(all_16_8, all_16_6) = v1 &
% 40.41/6.40 | | | internal_friction(all_16_8, all_16_7) = v2 & greater(v1,
% 40.41/6.40 | | | v2) = v8 & $i(v2) & $i(v1)) | ( ~ (v7 = 0) &
% 40.41/6.40 | | | smaller_or_equal(all_26_2, all_26_1) = v7)) & ((v6 = 0 &
% 40.41/6.40 | | | capability(all_16_8, all_16_6) = v4 & capability(all_16_8,
% 40.41/6.41 | | | all_16_7) = v5 & greater(v4, v5) = 0 & $i(v5) & $i(v4))
% 40.41/6.41 | | | | ( ~ (v3 = 0) & internal_friction(all_16_8, all_16_6) = v1
% 40.41/6.41 | | | & internal_friction(all_16_8, all_16_7) = v2 &
% 40.41/6.41 | | | smaller_or_equal(v1, v2) = v3 & $i(v2) & $i(v1)))))
% 40.41/6.41 | | |
% 40.41/6.41 | | | GROUND_INST: instantiating (12) with all_16_8, all_16_7, all_16_6,
% 40.41/6.41 | | | all_27_2, all_27_1, 0, simplifying with (28), (29), (30),
% 40.41/6.41 | | | (56), (57), (58) gives:
% 40.41/6.41 | | | (63) ? [v0: int] : ? [v1: $i] : ? [v2: $i] : ? [v3: int] : ((v3 = 0
% 40.41/6.41 | | | & position(all_16_8, all_16_6) = v1 & position(all_16_8,
% 40.41/6.41 | | | all_16_7) = v2 & greater(v1, v2) = 0 & $i(v2) & $i(v1) & ( ~
% 40.41/6.41 | | | (all_27_1 = all_27_2) | (v2 = v1 & position(all_16_8,
% 40.41/6.41 | | | all_16_7) = v1))) | ( ~ (v0 = 0) &
% 40.41/6.41 | | | organization(all_16_8) = v0))
% 40.41/6.41 | | |
% 40.41/6.41 | | | DELTA: instantiating (61) with fresh symbol all_48_0 gives:
% 40.41/6.41 | | | (64) ~ (all_48_0 = 0) & greater(all_26_1, all_26_2) = all_48_0
% 40.41/6.41 | | |
% 40.41/6.41 | | | ALPHA: (64) implies:
% 40.41/6.41 | | | (65) ~ (all_48_0 = 0)
% 40.41/6.41 | | | (66) greater(all_26_1, all_26_2) = all_48_0
% 40.41/6.41 | | |
% 40.41/6.41 | | | DELTA: instantiating (63) with fresh symbols all_52_0, all_52_1, all_52_2,
% 40.41/6.41 | | | all_52_3 gives:
% 40.41/6.41 | | | (67) (all_52_0 = 0 & position(all_16_8, all_16_6) = all_52_2 &
% 40.41/6.41 | | | position(all_16_8, all_16_7) = all_52_1 & greater(all_52_2,
% 40.41/6.41 | | | all_52_1) = 0 & $i(all_52_1) & $i(all_52_2) & ( ~ (all_27_1 =
% 40.41/6.41 | | | all_27_2) | (all_52_1 = all_52_2 & position(all_16_8,
% 40.41/6.41 | | | all_16_7) = all_52_2))) | ( ~ (all_52_3 = 0) &
% 40.41/6.41 | | | organization(all_16_8) = all_52_3)
% 40.41/6.41 | | |
% 40.41/6.41 | | | DELTA: instantiating (62) with fresh symbols all_53_0, all_53_1, all_53_2,
% 40.41/6.41 | | | all_53_3, all_53_4, all_53_5, all_53_6, all_53_7, all_53_8,
% 40.41/6.41 | | | all_53_9 gives:
% 40.41/6.41 | | | (68) ( ~ (all_53_9 = 0) & organization(all_16_8) = all_53_9) | (( ~
% 40.41/6.41 | | | (all_26_1 = all_26_2) | (all_53_4 = all_53_5 &
% 40.41/6.41 | | | capability(all_16_8, all_16_6) = all_53_5 &
% 40.41/6.41 | | | capability(all_16_8, all_16_7) = all_53_5 & $i(all_53_5)) |
% 40.41/6.41 | | | ( ~ (all_53_7 = all_53_8) & internal_friction(all_16_8,
% 40.41/6.41 | | | all_16_6) = all_53_8 & internal_friction(all_16_8,
% 40.41/6.41 | | | all_16_7) = all_53_7 & $i(all_53_7) & $i(all_53_8))) &
% 40.41/6.41 | | | ((all_53_0 = 0 & capability(all_16_8, all_16_6) = all_53_5 &
% 40.41/6.41 | | | capability(all_16_8, all_16_7) = all_53_4 &
% 40.41/6.41 | | | smaller(all_53_5, all_53_4) = 0 & $i(all_53_4) &
% 40.41/6.41 | | | $i(all_53_5)) | ( ~ (all_53_1 = 0) &
% 40.41/6.41 | | | internal_friction(all_16_8, all_16_6) = all_53_8 &
% 40.41/6.41 | | | internal_friction(all_16_8, all_16_7) = all_53_7 &
% 40.41/6.41 | | | greater(all_53_8, all_53_7) = all_53_1 & $i(all_53_7) &
% 40.41/6.41 | | | $i(all_53_8)) | ( ~ (all_53_2 = 0) &
% 40.41/6.41 | | | smaller_or_equal(all_26_2, all_26_1) = all_53_2)) &
% 40.41/6.41 | | | ((all_53_3 = 0 & capability(all_16_8, all_16_6) = all_53_5 &
% 40.41/6.41 | | | capability(all_16_8, all_16_7) = all_53_4 &
% 40.41/6.41 | | | greater(all_53_5, all_53_4) = 0 & $i(all_53_4) &
% 40.41/6.41 | | | $i(all_53_5)) | ( ~ (all_53_6 = 0) &
% 40.41/6.41 | | | internal_friction(all_16_8, all_16_6) = all_53_8 &
% 40.41/6.41 | | | internal_friction(all_16_8, all_16_7) = all_53_7 &
% 40.41/6.41 | | | smaller_or_equal(all_53_8, all_53_7) = all_53_6 &
% 40.41/6.41 | | | $i(all_53_7) & $i(all_53_8))))
% 40.41/6.41 | | |
% 40.41/6.41 | | | BETA: splitting (67) gives:
% 40.41/6.41 | | |
% 40.41/6.41 | | | Case 1:
% 40.41/6.41 | | | |
% 40.41/6.41 | | | | (69) all_52_0 = 0 & position(all_16_8, all_16_6) = all_52_2 &
% 40.41/6.41 | | | | position(all_16_8, all_16_7) = all_52_1 & greater(all_52_2,
% 40.41/6.41 | | | | all_52_1) = 0 & $i(all_52_1) & $i(all_52_2) & ( ~ (all_27_1 =
% 40.41/6.41 | | | | all_27_2) | (all_52_1 = all_52_2 & position(all_16_8,
% 40.41/6.41 | | | | all_16_7) = all_52_2))
% 40.41/6.41 | | | |
% 40.41/6.41 | | | | ALPHA: (69) implies:
% 40.41/6.41 | | | | (70) $i(all_52_2)
% 40.41/6.41 | | | | (71) $i(all_52_1)
% 40.41/6.41 | | | | (72) greater(all_52_2, all_52_1) = 0
% 40.41/6.41 | | | | (73) position(all_16_8, all_16_7) = all_52_1
% 40.41/6.41 | | | | (74) position(all_16_8, all_16_6) = all_52_2
% 40.41/6.41 | | | |
% 40.41/6.41 | | | | BETA: splitting (59) gives:
% 40.41/6.41 | | | |
% 40.41/6.41 | | | | Case 1:
% 40.41/6.41 | | | | |
% 40.41/6.41 | | | | | (75) all_24_0 = 0
% 40.41/6.41 | | | | |
% 40.41/6.41 | | | | | REDUCE: (45), (75) imply:
% 40.41/6.41 | | | | | (76) $false
% 40.41/6.41 | | | | |
% 40.41/6.41 | | | | | CLOSE: (76) is inconsistent.
% 40.41/6.41 | | | | |
% 40.41/6.41 | | | | Case 2:
% 40.41/6.41 | | | | |
% 40.41/6.41 | | | | |
% 40.41/6.41 | | | | | GROUND_INST: instantiating (1) with all_26_1, all_26_2, simplifying
% 40.41/6.41 | | | | | with (50), (51), (60) gives:
% 40.41/6.41 | | | | | (77) smaller_or_equal(all_26_1, all_26_2) = 0
% 40.41/6.41 | | | | |
% 40.41/6.41 | | | | | GROUND_INST: instantiating (11) with all_16_8, all_16_6, all_16_7,
% 40.41/6.41 | | | | | all_26_1, all_26_2, all_48_0, simplifying with (28),
% 40.41/6.41 | | | | | (29), (30), (53), (54), (66) gives:
% 40.41/6.41 | | | | | (78) ? [v0: int] : ? [v1: $i] : ? [v2: $i] : ? [v3: int] : ?
% 40.41/6.41 | | | | | [v4: $i] : ? [v5: $i] : ? [v6: int] : ? [v7: int] : ? [v8:
% 40.41/6.41 | | | | | int] : ? [v9: int] : (( ~ (v0 = 0) & organization(all_16_8)
% 40.41/6.41 | | | | | = v0) | (( ~ (all_48_0 = 0) | (v6 = 0 &
% 40.41/6.41 | | | | | capability(all_16_8, all_16_6) = v5 &
% 40.41/6.41 | | | | | capability(all_16_8, all_16_7) = v4 & greater(v4, v5)
% 40.41/6.41 | | | | | = 0 & $i(v5) & $i(v4)) | ( ~ (v3 = 0) &
% 40.41/6.41 | | | | | internal_friction(all_16_8, all_16_6) = v2 &
% 40.41/6.41 | | | | | internal_friction(all_16_8, all_16_7) = v1 &
% 40.41/6.41 | | | | | smaller_or_equal(v1, v2) = v3 & $i(v2) & $i(v1))) & (
% 40.41/6.41 | | | | | ~ (all_26_1 = all_26_2) | (v5 = v4 &
% 40.41/6.41 | | | | | capability(all_16_8, all_16_6) = v4 &
% 40.41/6.41 | | | | | capability(all_16_8, all_16_7) = v4 & $i(v4)) | ( ~
% 40.41/6.41 | | | | | (v2 = v1) & internal_friction(all_16_8, all_16_6) = v2
% 40.41/6.41 | | | | | & internal_friction(all_16_8, all_16_7) = v1 & $i(v2)
% 40.41/6.41 | | | | | & $i(v1))) & ((v9 = 0 & capability(all_16_8, all_16_6)
% 40.41/6.41 | | | | | = v5 & capability(all_16_8, all_16_7) = v4 &
% 40.41/6.41 | | | | | smaller(v4, v5) = 0 & $i(v5) & $i(v4)) | ( ~ (v8 = 0)
% 40.41/6.41 | | | | | & internal_friction(all_16_8, all_16_6) = v2 &
% 40.41/6.41 | | | | | internal_friction(all_16_8, all_16_7) = v1 &
% 40.41/6.41 | | | | | greater(v1, v2) = v8 & $i(v2) & $i(v1)) | ( ~ (v7 = 0)
% 40.41/6.41 | | | | | & smaller_or_equal(all_26_1, all_26_2) = v7))))
% 40.41/6.41 | | | | |
% 40.41/6.41 | | | | | GROUND_INST: instantiating (5) with all_26_2, all_26_1, all_48_0,
% 40.41/6.41 | | | | | simplifying with (50), (51), (66) gives:
% 40.41/6.41 | | | | | (79) all_48_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) & smaller(all_26_2,
% 40.41/6.41 | | | | | all_26_1) = v0)
% 40.41/6.41 | | | | |
% 40.41/6.41 | | | | | GROUND_INST: instantiating (3) with all_52_2, all_52_1, simplifying
% 40.41/6.41 | | | | | with (70), (71), (72) gives:
% 40.41/6.41 | | | | | (80) greater_or_equal(all_52_2, all_52_1) = 0
% 40.41/6.41 | | | | |
% 40.41/6.41 | | | | | GROUND_INST: instantiating (8) with all_16_8, all_16_7, all_16_6,
% 40.41/6.41 | | | | | all_52_2, all_52_1, 0, simplifying with (28), (29), (30),
% 40.41/6.41 | | | | | (72), (73), (74) gives:
% 40.41/6.41 | | | | | (81) ? [v0: int] : ? [v1: int] : ? [v2: int] : ? [v3: $i] : ?
% 40.41/6.41 | | | | | [v4: $i] : ? [v5: int] : ? [v6: int] : ? [v7: $i] : ? [v8:
% 40.41/6.41 | | | | | $i] : ? [v9: int] : ? [v10: int] : ((v2 = 0 &
% 40.41/6.41 | | | | | has_immunity(all_16_8, all_16_6) = 0) | (v1 = 0 &
% 40.41/6.41 | | | | | has_immunity(all_16_8, all_16_7) = 0) | ( ~ (v0 = 0) &
% 40.41/6.41 | | | | | organization(all_16_8) = v0) | (( ~ (all_52_1 = all_52_2)
% 40.41/6.41 | | | | | | (v8 = v7 & hazard_of_mortality(all_16_8, all_16_6) =
% 40.41/6.41 | | | | | v7 & hazard_of_mortality(all_16_8, all_16_7) = v7 &
% 40.41/6.41 | | | | | $i(v7)) | ( ~ (v4 = v3) & capability(all_16_8,
% 40.41/6.41 | | | | | all_16_6) = v3 & capability(all_16_8, all_16_7) = v4
% 40.41/6.41 | | | | | & $i(v4) & $i(v3))) & ((v9 = 0 &
% 40.41/6.41 | | | | | hazard_of_mortality(all_16_8, all_16_6) = v7 &
% 40.41/6.41 | | | | | hazard_of_mortality(all_16_8, all_16_7) = v8 &
% 40.41/6.41 | | | | | smaller(v7, v8) = 0 & $i(v8) & $i(v7)) | ( ~ (v10 = 0)
% 40.41/6.41 | | | | | & capability(all_16_8, all_16_6) = v3 &
% 40.41/6.41 | | | | | capability(all_16_8, all_16_7) = v4 &
% 40.41/6.41 | | | | | greater_or_equal(v3, v4) = v10 & $i(v4) & $i(v3) & ((
% 40.41/6.41 | | | | | ~ (v6 = 0) & greater_or_equal(all_52_2, all_52_1)
% 40.41/6.41 | | | | | = v6) | ( ~ (v5 = 0) & greater(v3, v4) = v5))))))
% 40.41/6.41 | | | | |
% 40.41/6.41 | | | | | DELTA: instantiating (81) with fresh symbols all_73_0, all_73_1,
% 40.41/6.41 | | | | | all_73_2, all_73_3, all_73_4, all_73_5, all_73_6, all_73_7,
% 40.41/6.41 | | | | | all_73_8, all_73_9, all_73_10 gives:
% 40.41/6.42 | | | | | (82) (all_73_8 = 0 & has_immunity(all_16_8, all_16_6) = 0) |
% 40.41/6.42 | | | | | (all_73_9 = 0 & has_immunity(all_16_8, all_16_7) = 0) | ( ~
% 40.41/6.42 | | | | | (all_73_10 = 0) & organization(all_16_8) = all_73_10) | (( ~
% 40.41/6.42 | | | | | (all_52_1 = all_52_2) | (all_73_2 = all_73_3 &
% 40.41/6.42 | | | | | hazard_of_mortality(all_16_8, all_16_6) = all_73_3 &
% 40.41/6.42 | | | | | hazard_of_mortality(all_16_8, all_16_7) = all_73_3 &
% 40.41/6.42 | | | | | $i(all_73_3)) | ( ~ (all_73_6 = all_73_7) &
% 40.41/6.42 | | | | | capability(all_16_8, all_16_6) = all_73_7 &
% 40.41/6.42 | | | | | capability(all_16_8, all_16_7) = all_73_6 & $i(all_73_6)
% 40.41/6.42 | | | | | & $i(all_73_7))) & ((all_73_1 = 0 &
% 40.41/6.42 | | | | | hazard_of_mortality(all_16_8, all_16_6) = all_73_3 &
% 40.41/6.42 | | | | | hazard_of_mortality(all_16_8, all_16_7) = all_73_2 &
% 40.41/6.42 | | | | | smaller(all_73_3, all_73_2) = 0 & $i(all_73_2) &
% 40.41/6.42 | | | | | $i(all_73_3)) | ( ~ (all_73_0 = 0) &
% 40.41/6.42 | | | | | capability(all_16_8, all_16_6) = all_73_7 &
% 40.41/6.42 | | | | | capability(all_16_8, all_16_7) = all_73_6 &
% 40.41/6.42 | | | | | greater_or_equal(all_73_7, all_73_6) = all_73_0 &
% 40.41/6.42 | | | | | $i(all_73_6) & $i(all_73_7) & (( ~ (all_73_4 = 0) &
% 40.41/6.42 | | | | | greater_or_equal(all_52_2, all_52_1) = all_73_4) | (
% 40.41/6.42 | | | | | ~ (all_73_5 = 0) & greater(all_73_7, all_73_6) =
% 40.41/6.42 | | | | | all_73_5)))))
% 40.41/6.42 | | | | |
% 40.41/6.42 | | | | | DELTA: instantiating (78) with fresh symbols all_74_0, all_74_1,
% 40.41/6.42 | | | | | all_74_2, all_74_3, all_74_4, all_74_5, all_74_6, all_74_7,
% 40.41/6.42 | | | | | all_74_8, all_74_9 gives:
% 40.41/6.42 | | | | | (83) ( ~ (all_74_9 = 0) & organization(all_16_8) = all_74_9) | (( ~
% 40.41/6.42 | | | | | (all_48_0 = 0) | (all_74_3 = 0 & capability(all_16_8,
% 40.41/6.42 | | | | | all_16_6) = all_74_4 & capability(all_16_8, all_16_7)
% 40.41/6.42 | | | | | = all_74_5 & greater(all_74_5, all_74_4) = 0 &
% 40.41/6.42 | | | | | $i(all_74_4) & $i(all_74_5)) | ( ~ (all_74_6 = 0) &
% 40.41/6.42 | | | | | internal_friction(all_16_8, all_16_6) = all_74_7 &
% 40.41/6.42 | | | | | internal_friction(all_16_8, all_16_7) = all_74_8 &
% 40.41/6.42 | | | | | smaller_or_equal(all_74_8, all_74_7) = all_74_6 &
% 40.41/6.42 | | | | | $i(all_74_7) & $i(all_74_8))) & ( ~ (all_26_1 =
% 40.41/6.42 | | | | | all_26_2) | (all_74_4 = all_74_5 & capability(all_16_8,
% 40.41/6.42 | | | | | all_16_6) = all_74_5 & capability(all_16_8, all_16_7)
% 40.41/6.42 | | | | | = all_74_5 & $i(all_74_5)) | ( ~ (all_74_7 = all_74_8) &
% 40.41/6.42 | | | | | internal_friction(all_16_8, all_16_6) = all_74_7 &
% 40.41/6.42 | | | | | internal_friction(all_16_8, all_16_7) = all_74_8 &
% 40.41/6.42 | | | | | $i(all_74_7) & $i(all_74_8))) & ((all_74_0 = 0 &
% 40.41/6.42 | | | | | capability(all_16_8, all_16_6) = all_74_4 &
% 40.41/6.42 | | | | | capability(all_16_8, all_16_7) = all_74_5 &
% 40.41/6.42 | | | | | smaller(all_74_5, all_74_4) = 0 & $i(all_74_4) &
% 40.41/6.42 | | | | | $i(all_74_5)) | ( ~ (all_74_1 = 0) &
% 40.41/6.42 | | | | | internal_friction(all_16_8, all_16_6) = all_74_7 &
% 40.41/6.42 | | | | | internal_friction(all_16_8, all_16_7) = all_74_8 &
% 40.41/6.42 | | | | | greater(all_74_8, all_74_7) = all_74_1 & $i(all_74_7) &
% 40.41/6.42 | | | | | $i(all_74_8)) | ( ~ (all_74_2 = 0) &
% 40.41/6.42 | | | | | smaller_or_equal(all_26_1, all_26_2) = all_74_2)))
% 40.41/6.42 | | | | |
% 40.41/6.42 | | | | | BETA: splitting (79) gives:
% 40.41/6.42 | | | | |
% 40.41/6.42 | | | | | Case 1:
% 40.41/6.42 | | | | | |
% 40.41/6.42 | | | | | | (84) all_48_0 = 0
% 40.41/6.42 | | | | | |
% 40.41/6.42 | | | | | | REDUCE: (65), (84) imply:
% 40.41/6.42 | | | | | | (85) $false
% 40.41/6.42 | | | | | |
% 40.41/6.42 | | | | | | CLOSE: (85) is inconsistent.
% 40.41/6.42 | | | | | |
% 40.41/6.42 | | | | | Case 2:
% 40.41/6.42 | | | | | |
% 40.41/6.42 | | | | | |
% 40.41/6.42 | | | | | | GROUND_INST: instantiating (10) with all_16_8, all_16_6, all_16_7,
% 40.41/6.42 | | | | | | all_26_1, all_26_2, 0, simplifying with (28), (29),
% 40.41/6.42 | | | | | | (30), (53), (54), (77) gives:
% 40.41/6.42 | | | | | | (86) ? [v0: int] : ? [v1: int] : ? [v2: $i] : ? [v3: $i] : ?
% 40.41/6.42 | | | | | | [v4: int] : ? [v5: $i] : ? [v6: $i] : ? [v7: int] : ?
% 40.41/6.42 | | | | | | [v8: int] : ? [v9: int] : (( ~ (v0 = 0) &
% 40.41/6.42 | | | | | | organization(all_16_8) = v0) | (( ~ (all_26_1 =
% 40.41/6.42 | | | | | | all_26_2) | (v6 = v5 & capability(all_16_8,
% 40.41/6.42 | | | | | | all_16_6) = v5 & capability(all_16_8, all_16_7) =
% 40.41/6.42 | | | | | | v5 & $i(v5)) | ( ~ (v3 = v2) &
% 40.41/6.42 | | | | | | internal_friction(all_16_8, all_16_6) = v3 &
% 40.41/6.42 | | | | | | internal_friction(all_16_8, all_16_7) = v2 & $i(v3)
% 40.41/6.42 | | | | | | & $i(v2))) & ((v9 = 0 & capability(all_16_8,
% 40.41/6.42 | | | | | | all_16_6) = v6 & capability(all_16_8, all_16_7) =
% 40.41/6.42 | | | | | | v5 & smaller(v5, v6) = 0 & $i(v6) & $i(v5)) | ( ~
% 40.41/6.42 | | | | | | (v8 = 0) & internal_friction(all_16_8, all_16_6) =
% 40.41/6.42 | | | | | | v3 & internal_friction(all_16_8, all_16_7) = v2 &
% 40.41/6.42 | | | | | | greater(v2, v3) = v8 & $i(v3) & $i(v2))) & ((v7 = 0
% 40.41/6.42 | | | | | | & capability(all_16_8, all_16_6) = v6 &
% 40.41/6.42 | | | | | | capability(all_16_8, all_16_7) = v5 & greater(v5,
% 40.41/6.42 | | | | | | v6) = 0 & $i(v6) & $i(v5)) | ( ~ (v4 = 0) &
% 40.41/6.42 | | | | | | internal_friction(all_16_8, all_16_6) = v3 &
% 40.41/6.42 | | | | | | internal_friction(all_16_8, all_16_7) = v2 &
% 40.41/6.42 | | | | | | smaller_or_equal(v2, v3) = v4 & $i(v3) & $i(v2)) | (
% 40.41/6.42 | | | | | | ~ (v1 = 0) & greater(all_26_1, all_26_2) = v1))))
% 40.41/6.42 | | | | | |
% 40.41/6.42 | | | | | | GROUND_INST: instantiating (7) with all_16_8, all_16_7, all_16_6,
% 40.41/6.42 | | | | | | all_52_2, all_52_1, 0, simplifying with (28), (29),
% 40.41/6.42 | | | | | | (30), (73), (74), (80) gives:
% 40.41/6.42 | | | | | | (87) ? [v0: int] : ? [v1: int] : ? [v2: int] : ? [v3: $i] :
% 40.41/6.42 | | | | | | ? [v4: $i] : ? [v5: int] : ? [v6: $i] : ? [v7: $i] : ?
% 40.41/6.42 | | | | | | [v8: int] : ? [v9: int] : ? [v10: int] : ((v2 = 0 &
% 40.41/6.42 | | | | | | has_immunity(all_16_8, all_16_6) = 0) | (v1 = 0 &
% 40.41/6.42 | | | | | | has_immunity(all_16_8, all_16_7) = 0) | ( ~ (v0 = 0) &
% 40.41/6.42 | | | | | | organization(all_16_8) = v0) | (( ~ (all_52_1 =
% 40.41/6.42 | | | | | | all_52_2) | (v7 = v6 & hazard_of_mortality(all_16_8,
% 40.41/6.42 | | | | | | all_16_6) = v6 & hazard_of_mortality(all_16_8,
% 40.41/6.42 | | | | | | all_16_7) = v6 & $i(v6)) | ( ~ (v4 = v3) &
% 40.41/6.42 | | | | | | capability(all_16_8, all_16_6) = v3 &
% 40.41/6.42 | | | | | | capability(all_16_8, all_16_7) = v4 & $i(v4) &
% 40.41/6.42 | | | | | | $i(v3))) & ((v8 = 0 & hazard_of_mortality(all_16_8,
% 40.41/6.42 | | | | | | all_16_6) = v6 & hazard_of_mortality(all_16_8,
% 40.41/6.42 | | | | | | all_16_7) = v7 & smaller(v6, v7) = 0 & $i(v7) &
% 40.41/6.42 | | | | | | $i(v6)) | ( ~ (v5 = 0) & capability(all_16_8,
% 40.41/6.42 | | | | | | all_16_6) = v3 & capability(all_16_8, all_16_7) =
% 40.41/6.42 | | | | | | v4 & greater(v3, v4) = v5 & $i(v4) & $i(v3) & (( ~
% 40.41/6.42 | | | | | | (v10 = 0) & greater(all_52_2, all_52_1) = v10) |
% 40.41/6.42 | | | | | | ( ~ (v9 = 0) & greater_or_equal(v3, v4) = v9))))))
% 40.41/6.42 | | | | | |
% 40.41/6.42 | | | | | | DELTA: instantiating (87) with fresh symbols all_93_0, all_93_1,
% 40.41/6.42 | | | | | | all_93_2, all_93_3, all_93_4, all_93_5, all_93_6, all_93_7,
% 40.41/6.42 | | | | | | all_93_8, all_93_9, all_93_10 gives:
% 40.41/6.42 | | | | | | (88) (all_93_8 = 0 & has_immunity(all_16_8, all_16_6) = 0) |
% 40.41/6.42 | | | | | | (all_93_9 = 0 & has_immunity(all_16_8, all_16_7) = 0) | ( ~
% 40.41/6.42 | | | | | | (all_93_10 = 0) & organization(all_16_8) = all_93_10) | ((
% 40.41/6.42 | | | | | | ~ (all_52_1 = all_52_2) | (all_93_3 = all_93_4 &
% 40.41/6.42 | | | | | | hazard_of_mortality(all_16_8, all_16_6) = all_93_4 &
% 40.41/6.42 | | | | | | hazard_of_mortality(all_16_8, all_16_7) = all_93_4 &
% 40.41/6.42 | | | | | | $i(all_93_4)) | ( ~ (all_93_6 = all_93_7) &
% 40.41/6.42 | | | | | | capability(all_16_8, all_16_6) = all_93_7 &
% 40.41/6.42 | | | | | | capability(all_16_8, all_16_7) = all_93_6 &
% 40.41/6.42 | | | | | | $i(all_93_6) & $i(all_93_7))) & ((all_93_2 = 0 &
% 40.41/6.42 | | | | | | hazard_of_mortality(all_16_8, all_16_6) = all_93_4 &
% 40.41/6.42 | | | | | | hazard_of_mortality(all_16_8, all_16_7) = all_93_3 &
% 40.41/6.42 | | | | | | smaller(all_93_4, all_93_3) = 0 & $i(all_93_3) &
% 40.41/6.42 | | | | | | $i(all_93_4)) | ( ~ (all_93_5 = 0) &
% 40.41/6.42 | | | | | | capability(all_16_8, all_16_6) = all_93_7 &
% 40.41/6.42 | | | | | | capability(all_16_8, all_16_7) = all_93_6 &
% 40.41/6.42 | | | | | | greater(all_93_7, all_93_6) = all_93_5 & $i(all_93_6)
% 40.41/6.42 | | | | | | & $i(all_93_7) & (( ~ (all_93_0 = 0) &
% 40.41/6.42 | | | | | | greater(all_52_2, all_52_1) = all_93_0) | ( ~
% 40.41/6.42 | | | | | | (all_93_1 = 0) & greater_or_equal(all_93_7,
% 40.41/6.42 | | | | | | all_93_6) = all_93_1)))))
% 40.41/6.42 | | | | | |
% 40.41/6.42 | | | | | | DELTA: instantiating (86) with fresh symbols all_95_0, all_95_1,
% 40.41/6.42 | | | | | | all_95_2, all_95_3, all_95_4, all_95_5, all_95_6, all_95_7,
% 40.41/6.42 | | | | | | all_95_8, all_95_9 gives:
% 40.41/6.42 | | | | | | (89) ( ~ (all_95_9 = 0) & organization(all_16_8) = all_95_9) | ((
% 40.41/6.42 | | | | | | ~ (all_26_1 = all_26_2) | (all_95_3 = all_95_4 &
% 40.41/6.42 | | | | | | capability(all_16_8, all_16_6) = all_95_4 &
% 40.41/6.42 | | | | | | capability(all_16_8, all_16_7) = all_95_4 &
% 40.41/6.42 | | | | | | $i(all_95_4)) | ( ~ (all_95_6 = all_95_7) &
% 40.41/6.42 | | | | | | internal_friction(all_16_8, all_16_6) = all_95_6 &
% 40.41/6.42 | | | | | | internal_friction(all_16_8, all_16_7) = all_95_7 &
% 40.41/6.42 | | | | | | $i(all_95_6) & $i(all_95_7))) & ((all_95_0 = 0 &
% 40.41/6.42 | | | | | | capability(all_16_8, all_16_6) = all_95_3 &
% 40.41/6.42 | | | | | | capability(all_16_8, all_16_7) = all_95_4 &
% 40.41/6.42 | | | | | | smaller(all_95_4, all_95_3) = 0 & $i(all_95_3) &
% 40.41/6.42 | | | | | | $i(all_95_4)) | ( ~ (all_95_1 = 0) &
% 40.41/6.42 | | | | | | internal_friction(all_16_8, all_16_6) = all_95_6 &
% 40.41/6.42 | | | | | | internal_friction(all_16_8, all_16_7) = all_95_7 &
% 40.41/6.42 | | | | | | greater(all_95_7, all_95_6) = all_95_1 & $i(all_95_6)
% 40.41/6.42 | | | | | | & $i(all_95_7))) & ((all_95_2 = 0 &
% 40.41/6.42 | | | | | | capability(all_16_8, all_16_6) = all_95_3 &
% 40.41/6.42 | | | | | | capability(all_16_8, all_16_7) = all_95_4 &
% 40.41/6.42 | | | | | | greater(all_95_4, all_95_3) = 0 & $i(all_95_3) &
% 40.41/6.42 | | | | | | $i(all_95_4)) | ( ~ (all_95_5 = 0) &
% 40.41/6.42 | | | | | | internal_friction(all_16_8, all_16_6) = all_95_6 &
% 40.41/6.42 | | | | | | internal_friction(all_16_8, all_16_7) = all_95_7 &
% 40.41/6.42 | | | | | | smaller_or_equal(all_95_7, all_95_6) = all_95_5 &
% 40.41/6.42 | | | | | | $i(all_95_6) & $i(all_95_7)) | ( ~ (all_95_8 = 0) &
% 40.41/6.42 | | | | | | greater(all_26_1, all_26_2) = all_95_8)))
% 40.41/6.42 | | | | | |
% 40.41/6.42 | | | | | | BETA: splitting (68) gives:
% 40.41/6.42 | | | | | |
% 40.41/6.42 | | | | | | Case 1:
% 40.41/6.42 | | | | | | |
% 40.41/6.42 | | | | | | | (90) ~ (all_53_9 = 0) & organization(all_16_8) = all_53_9
% 40.41/6.42 | | | | | | |
% 40.41/6.42 | | | | | | | ALPHA: (90) implies:
% 40.41/6.42 | | | | | | | (91) ~ (all_53_9 = 0)
% 40.41/6.42 | | | | | | | (92) organization(all_16_8) = all_53_9
% 40.41/6.42 | | | | | | |
% 40.41/6.42 | | | | | | | GROUND_INST: instantiating (16) with 0, all_53_9, all_16_8,
% 40.41/6.42 | | | | | | | simplifying with (36), (92) gives:
% 40.41/6.42 | | | | | | | (93) all_53_9 = 0
% 40.41/6.42 | | | | | | |
% 40.41/6.42 | | | | | | | REDUCE: (91), (93) imply:
% 40.41/6.42 | | | | | | | (94) $false
% 40.41/6.42 | | | | | | |
% 40.41/6.42 | | | | | | | CLOSE: (94) is inconsistent.
% 40.41/6.42 | | | | | | |
% 40.41/6.42 | | | | | | Case 2:
% 40.41/6.42 | | | | | | |
% 40.41/6.42 | | | | | | | (95) ( ~ (all_26_1 = all_26_2) | (all_53_4 = all_53_5 &
% 40.41/6.42 | | | | | | | capability(all_16_8, all_16_6) = all_53_5 &
% 40.41/6.42 | | | | | | | capability(all_16_8, all_16_7) = all_53_5 &
% 40.41/6.42 | | | | | | | $i(all_53_5)) | ( ~ (all_53_7 = all_53_8) &
% 40.41/6.42 | | | | | | | internal_friction(all_16_8, all_16_6) = all_53_8 &
% 40.41/6.42 | | | | | | | internal_friction(all_16_8, all_16_7) = all_53_7 &
% 40.41/6.42 | | | | | | | $i(all_53_7) & $i(all_53_8))) & ((all_53_0 = 0 &
% 40.41/6.42 | | | | | | | capability(all_16_8, all_16_6) = all_53_5 &
% 40.41/6.42 | | | | | | | capability(all_16_8, all_16_7) = all_53_4 &
% 40.41/6.42 | | | | | | | smaller(all_53_5, all_53_4) = 0 & $i(all_53_4) &
% 40.41/6.42 | | | | | | | $i(all_53_5)) | ( ~ (all_53_1 = 0) &
% 40.41/6.42 | | | | | | | internal_friction(all_16_8, all_16_6) = all_53_8 &
% 40.41/6.42 | | | | | | | internal_friction(all_16_8, all_16_7) = all_53_7 &
% 40.41/6.42 | | | | | | | greater(all_53_8, all_53_7) = all_53_1 & $i(all_53_7)
% 40.41/6.42 | | | | | | | & $i(all_53_8)) | ( ~ (all_53_2 = 0) &
% 40.41/6.42 | | | | | | | smaller_or_equal(all_26_2, all_26_1) = all_53_2)) &
% 40.41/6.42 | | | | | | | ((all_53_3 = 0 & capability(all_16_8, all_16_6) = all_53_5
% 40.41/6.42 | | | | | | | & capability(all_16_8, all_16_7) = all_53_4 &
% 40.41/6.42 | | | | | | | greater(all_53_5, all_53_4) = 0 & $i(all_53_4) &
% 40.41/6.42 | | | | | | | $i(all_53_5)) | ( ~ (all_53_6 = 0) &
% 40.41/6.42 | | | | | | | internal_friction(all_16_8, all_16_6) = all_53_8 &
% 40.41/6.42 | | | | | | | internal_friction(all_16_8, all_16_7) = all_53_7 &
% 40.41/6.42 | | | | | | | smaller_or_equal(all_53_8, all_53_7) = all_53_6 &
% 40.41/6.42 | | | | | | | $i(all_53_7) & $i(all_53_8)))
% 40.41/6.42 | | | | | | |
% 40.41/6.42 | | | | | | | ALPHA: (95) implies:
% 40.41/6.42 | | | | | | | (96) (all_53_3 = 0 & capability(all_16_8, all_16_6) = all_53_5
% 40.41/6.42 | | | | | | | & capability(all_16_8, all_16_7) = all_53_4 &
% 40.41/6.42 | | | | | | | greater(all_53_5, all_53_4) = 0 & $i(all_53_4) &
% 40.41/6.42 | | | | | | | $i(all_53_5)) | ( ~ (all_53_6 = 0) &
% 40.41/6.42 | | | | | | | internal_friction(all_16_8, all_16_6) = all_53_8 &
% 40.41/6.42 | | | | | | | internal_friction(all_16_8, all_16_7) = all_53_7 &
% 40.41/6.42 | | | | | | | smaller_or_equal(all_53_8, all_53_7) = all_53_6 &
% 40.41/6.42 | | | | | | | $i(all_53_7) & $i(all_53_8))
% 40.41/6.42 | | | | | | |
% 40.41/6.42 | | | | | | | BETA: splitting (83) gives:
% 40.41/6.42 | | | | | | |
% 40.41/6.42 | | | | | | | Case 1:
% 40.41/6.42 | | | | | | | |
% 40.41/6.43 | | | | | | | | (97) ~ (all_74_9 = 0) & organization(all_16_8) = all_74_9
% 40.41/6.43 | | | | | | | |
% 40.41/6.43 | | | | | | | | ALPHA: (97) implies:
% 40.41/6.43 | | | | | | | | (98) ~ (all_74_9 = 0)
% 40.41/6.43 | | | | | | | | (99) organization(all_16_8) = all_74_9
% 40.41/6.43 | | | | | | | |
% 40.41/6.43 | | | | | | | | GROUND_INST: instantiating (16) with 0, all_74_9, all_16_8,
% 40.41/6.43 | | | | | | | | simplifying with (36), (99) gives:
% 40.41/6.43 | | | | | | | | (100) all_74_9 = 0
% 40.41/6.43 | | | | | | | |
% 40.41/6.43 | | | | | | | | REDUCE: (98), (100) imply:
% 40.41/6.43 | | | | | | | | (101) $false
% 40.41/6.43 | | | | | | | |
% 40.41/6.43 | | | | | | | | CLOSE: (101) is inconsistent.
% 40.41/6.43 | | | | | | | |
% 40.41/6.43 | | | | | | | Case 2:
% 40.41/6.43 | | | | | | | |
% 40.41/6.43 | | | | | | | | (102) ( ~ (all_48_0 = 0) | (all_74_3 = 0 &
% 40.41/6.43 | | | | | | | | capability(all_16_8, all_16_6) = all_74_4 &
% 40.41/6.43 | | | | | | | | capability(all_16_8, all_16_7) = all_74_5 &
% 40.41/6.43 | | | | | | | | greater(all_74_5, all_74_4) = 0 & $i(all_74_4) &
% 40.41/6.43 | | | | | | | | $i(all_74_5)) | ( ~ (all_74_6 = 0) &
% 40.41/6.43 | | | | | | | | internal_friction(all_16_8, all_16_6) = all_74_7 &
% 40.41/6.43 | | | | | | | | internal_friction(all_16_8, all_16_7) = all_74_8 &
% 40.41/6.43 | | | | | | | | smaller_or_equal(all_74_8, all_74_7) = all_74_6 &
% 40.41/6.43 | | | | | | | | $i(all_74_7) & $i(all_74_8))) & ( ~ (all_26_1 =
% 40.41/6.43 | | | | | | | | all_26_2) | (all_74_4 = all_74_5 &
% 40.41/6.43 | | | | | | | | capability(all_16_8, all_16_6) = all_74_5 &
% 40.41/6.43 | | | | | | | | capability(all_16_8, all_16_7) = all_74_5 &
% 40.41/6.43 | | | | | | | | $i(all_74_5)) | ( ~ (all_74_7 = all_74_8) &
% 40.41/6.43 | | | | | | | | internal_friction(all_16_8, all_16_6) = all_74_7 &
% 40.41/6.43 | | | | | | | | internal_friction(all_16_8, all_16_7) = all_74_8 &
% 40.41/6.43 | | | | | | | | $i(all_74_7) & $i(all_74_8))) & ((all_74_0 = 0 &
% 40.41/6.43 | | | | | | | | capability(all_16_8, all_16_6) = all_74_4 &
% 40.41/6.43 | | | | | | | | capability(all_16_8, all_16_7) = all_74_5 &
% 40.41/6.43 | | | | | | | | smaller(all_74_5, all_74_4) = 0 & $i(all_74_4) &
% 40.41/6.43 | | | | | | | | $i(all_74_5)) | ( ~ (all_74_1 = 0) &
% 40.41/6.43 | | | | | | | | internal_friction(all_16_8, all_16_6) = all_74_7 &
% 40.41/6.43 | | | | | | | | internal_friction(all_16_8, all_16_7) = all_74_8 &
% 40.41/6.43 | | | | | | | | greater(all_74_8, all_74_7) = all_74_1 &
% 40.41/6.43 | | | | | | | | $i(all_74_7) & $i(all_74_8)) | ( ~ (all_74_2 = 0) &
% 40.41/6.43 | | | | | | | | smaller_or_equal(all_26_1, all_26_2) = all_74_2))
% 40.41/6.43 | | | | | | | |
% 40.41/6.43 | | | | | | | | ALPHA: (102) implies:
% 40.41/6.43 | | | | | | | | (103) (all_74_0 = 0 & capability(all_16_8, all_16_6) =
% 40.41/6.43 | | | | | | | | all_74_4 & capability(all_16_8, all_16_7) = all_74_5
% 40.41/6.43 | | | | | | | | & smaller(all_74_5, all_74_4) = 0 & $i(all_74_4) &
% 40.41/6.43 | | | | | | | | $i(all_74_5)) | ( ~ (all_74_1 = 0) &
% 40.41/6.43 | | | | | | | | internal_friction(all_16_8, all_16_6) = all_74_7 &
% 40.41/6.43 | | | | | | | | internal_friction(all_16_8, all_16_7) = all_74_8 &
% 40.41/6.43 | | | | | | | | greater(all_74_8, all_74_7) = all_74_1 & $i(all_74_7)
% 40.41/6.43 | | | | | | | | & $i(all_74_8)) | ( ~ (all_74_2 = 0) &
% 40.41/6.43 | | | | | | | | smaller_or_equal(all_26_1, all_26_2) = all_74_2)
% 40.41/6.43 | | | | | | | |
% 40.41/6.43 | | | | | | | | BETA: splitting (82) gives:
% 40.41/6.43 | | | | | | | |
% 40.41/6.43 | | | | | | | | Case 1:
% 40.41/6.43 | | | | | | | | |
% 40.41/6.43 | | | | | | | | | (104) (all_73_8 = 0 & has_immunity(all_16_8, all_16_6) = 0)
% 40.41/6.43 | | | | | | | | | | (all_73_9 = 0 & has_immunity(all_16_8, all_16_7) =
% 40.41/6.43 | | | | | | | | | 0)
% 40.41/6.43 | | | | | | | | |
% 40.41/6.43 | | | | | | | | | BETA: splitting (104) gives:
% 40.41/6.43 | | | | | | | | |
% 40.41/6.43 | | | | | | | | | Case 1:
% 40.41/6.43 | | | | | | | | | |
% 40.41/6.43 | | | | | | | | | | (105) all_73_8 = 0 & has_immunity(all_16_8, all_16_6) = 0
% 40.41/6.43 | | | | | | | | | |
% 40.41/6.43 | | | | | | | | | | ALPHA: (105) implies:
% 40.41/6.43 | | | | | | | | | | (106) has_immunity(all_16_8, all_16_6) = 0
% 40.41/6.43 | | | | | | | | | |
% 40.41/6.43 | | | | | | | | | | GROUND_INST: instantiating (assumption_1) with all_16_8,
% 40.41/6.43 | | | | | | | | | | all_16_6, simplifying with (28), (30), (106)
% 40.41/6.43 | | | | | | | | | | gives:
% 40.41/6.43 | | | | | | | | | | (107) ? [v0: int] : ? [v1: int] : ((v1 = 0 &
% 40.41/6.43 | | | | | | | | | | has_endowment(all_16_8) = 0) | ( ~ (v0 = 0) &
% 40.41/6.43 | | | | | | | | | | organization(all_16_8) = v0))
% 40.41/6.43 | | | | | | | | | |
% 40.41/6.43 | | | | | | | | | | DELTA: instantiating (107) with fresh symbols all_238_0,
% 40.41/6.43 | | | | | | | | | | all_238_1 gives:
% 40.41/6.43 | | | | | | | | | | (108) (all_238_0 = 0 & has_endowment(all_16_8) = 0) | ( ~
% 40.41/6.43 | | | | | | | | | | (all_238_1 = 0) & organization(all_16_8) =
% 40.41/6.43 | | | | | | | | | | all_238_1)
% 40.41/6.43 | | | | | | | | | |
% 40.41/6.43 | | | | | | | | | | BETA: splitting (108) gives:
% 40.41/6.43 | | | | | | | | | |
% 40.41/6.43 | | | | | | | | | | Case 1:
% 40.41/6.43 | | | | | | | | | | |
% 40.41/6.43 | | | | | | | | | | | (109) all_238_0 = 0 & has_endowment(all_16_8) = 0
% 40.41/6.43 | | | | | | | | | | |
% 40.41/6.43 | | | | | | | | | | | ALPHA: (109) implies:
% 40.41/6.43 | | | | | | | | | | | (110) has_endowment(all_16_8) = 0
% 40.41/6.43 | | | | | | | | | | |
% 40.41/6.43 | | | | | | | | | | | REF_CLOSE: (15), (26), (35), (110) are inconsistent by
% 40.41/6.43 | | | | | | | | | | | sub-proof #1.
% 40.41/6.43 | | | | | | | | | | |
% 40.41/6.43 | | | | | | | | | | Case 2:
% 40.41/6.43 | | | | | | | | | | |
% 40.41/6.43 | | | | | | | | | | | (111) ~ (all_238_1 = 0) & organization(all_16_8) =
% 40.41/6.43 | | | | | | | | | | | all_238_1
% 40.41/6.43 | | | | | | | | | | |
% 40.41/6.43 | | | | | | | | | | | ALPHA: (111) implies:
% 40.41/6.43 | | | | | | | | | | | (112) ~ (all_238_1 = 0)
% 40.41/6.43 | | | | | | | | | | | (113) organization(all_16_8) = all_238_1
% 40.41/6.43 | | | | | | | | | | |
% 40.41/6.43 | | | | | | | | | | | GROUND_INST: instantiating (16) with 0, all_238_1, all_16_8,
% 40.41/6.43 | | | | | | | | | | | simplifying with (36), (113) gives:
% 40.41/6.43 | | | | | | | | | | | (114) all_238_1 = 0
% 40.41/6.43 | | | | | | | | | | |
% 40.41/6.43 | | | | | | | | | | | REDUCE: (112), (114) imply:
% 40.41/6.43 | | | | | | | | | | | (115) $false
% 40.41/6.43 | | | | | | | | | | |
% 40.41/6.43 | | | | | | | | | | | CLOSE: (115) is inconsistent.
% 40.41/6.43 | | | | | | | | | | |
% 40.41/6.43 | | | | | | | | | | End of split
% 40.41/6.43 | | | | | | | | | |
% 40.41/6.43 | | | | | | | | | Case 2:
% 40.41/6.43 | | | | | | | | | |
% 40.41/6.43 | | | | | | | | | | (116) all_73_9 = 0 & has_immunity(all_16_8, all_16_7) = 0
% 40.86/6.43 | | | | | | | | | |
% 40.86/6.43 | | | | | | | | | | ALPHA: (116) implies:
% 40.86/6.43 | | | | | | | | | | (117) has_immunity(all_16_8, all_16_7) = 0
% 40.86/6.43 | | | | | | | | | |
% 40.86/6.43 | | | | | | | | | | GROUND_INST: instantiating (assumption_1) with all_16_8,
% 40.86/6.43 | | | | | | | | | | all_16_7, simplifying with (28), (29), (117)
% 40.86/6.43 | | | | | | | | | | gives:
% 40.86/6.43 | | | | | | | | | | (118) ? [v0: int] : ? [v1: int] : ((v1 = 0 &
% 40.86/6.43 | | | | | | | | | | has_endowment(all_16_8) = 0) | ( ~ (v0 = 0) &
% 40.86/6.43 | | | | | | | | | | organization(all_16_8) = v0))
% 40.86/6.43 | | | | | | | | | |
% 40.86/6.43 | | | | | | | | | | DELTA: instantiating (118) with fresh symbols all_238_0,
% 40.86/6.43 | | | | | | | | | | all_238_1 gives:
% 40.86/6.43 | | | | | | | | | | (119) (all_238_0 = 0 & has_endowment(all_16_8) = 0) | ( ~
% 40.86/6.43 | | | | | | | | | | (all_238_1 = 0) & organization(all_16_8) =
% 40.86/6.43 | | | | | | | | | | all_238_1)
% 40.86/6.43 | | | | | | | | | |
% 40.86/6.43 | | | | | | | | | | BETA: splitting (119) gives:
% 40.86/6.43 | | | | | | | | | |
% 40.86/6.43 | | | | | | | | | | Case 1:
% 40.86/6.43 | | | | | | | | | | |
% 40.86/6.43 | | | | | | | | | | | (120) all_238_0 = 0 & has_endowment(all_16_8) = 0
% 40.86/6.43 | | | | | | | | | | |
% 40.86/6.43 | | | | | | | | | | | ALPHA: (120) implies:
% 40.86/6.43 | | | | | | | | | | | (121) has_endowment(all_16_8) = 0
% 40.86/6.43 | | | | | | | | | | |
% 40.86/6.43 | | | | | | | | | | | REF_CLOSE: (15), (26), (35), (121) are inconsistent by
% 40.86/6.43 | | | | | | | | | | | sub-proof #1.
% 40.86/6.43 | | | | | | | | | | |
% 40.86/6.43 | | | | | | | | | | Case 2:
% 40.86/6.43 | | | | | | | | | | |
% 40.86/6.43 | | | | | | | | | | | (122) ~ (all_238_1 = 0) & organization(all_16_8) =
% 40.86/6.43 | | | | | | | | | | | all_238_1
% 40.86/6.43 | | | | | | | | | | |
% 40.86/6.43 | | | | | | | | | | | ALPHA: (122) implies:
% 40.86/6.43 | | | | | | | | | | | (123) ~ (all_238_1 = 0)
% 40.86/6.43 | | | | | | | | | | | (124) organization(all_16_8) = all_238_1
% 40.86/6.43 | | | | | | | | | | |
% 40.86/6.43 | | | | | | | | | | | GROUND_INST: instantiating (16) with 0, all_238_1, all_16_8,
% 40.86/6.43 | | | | | | | | | | | simplifying with (36), (124) gives:
% 40.86/6.43 | | | | | | | | | | | (125) all_238_1 = 0
% 40.86/6.43 | | | | | | | | | | |
% 40.86/6.43 | | | | | | | | | | | REDUCE: (123), (125) imply:
% 40.86/6.43 | | | | | | | | | | | (126) $false
% 40.86/6.43 | | | | | | | | | | |
% 40.86/6.43 | | | | | | | | | | | CLOSE: (126) is inconsistent.
% 40.86/6.43 | | | | | | | | | | |
% 40.86/6.43 | | | | | | | | | | End of split
% 40.86/6.43 | | | | | | | | | |
% 40.86/6.43 | | | | | | | | | End of split
% 40.86/6.43 | | | | | | | | |
% 40.86/6.43 | | | | | | | | Case 2:
% 40.86/6.43 | | | | | | | | |
% 40.86/6.43 | | | | | | | | | (127) ( ~ (all_73_10 = 0) & organization(all_16_8) =
% 40.86/6.43 | | | | | | | | | all_73_10) | (( ~ (all_52_1 = all_52_2) | (all_73_2
% 40.86/6.43 | | | | | | | | | = all_73_3 & hazard_of_mortality(all_16_8,
% 40.86/6.43 | | | | | | | | | all_16_6) = all_73_3 &
% 40.86/6.43 | | | | | | | | | hazard_of_mortality(all_16_8, all_16_7) =
% 40.86/6.43 | | | | | | | | | all_73_3 & $i(all_73_3)) | ( ~ (all_73_6 =
% 40.86/6.43 | | | | | | | | | all_73_7) & capability(all_16_8, all_16_6) =
% 40.86/6.43 | | | | | | | | | all_73_7 & capability(all_16_8, all_16_7) =
% 40.86/6.43 | | | | | | | | | all_73_6 & $i(all_73_6) & $i(all_73_7))) &
% 40.86/6.43 | | | | | | | | | ((all_73_1 = 0 & hazard_of_mortality(all_16_8,
% 40.86/6.43 | | | | | | | | | all_16_6) = all_73_3 &
% 40.86/6.43 | | | | | | | | | hazard_of_mortality(all_16_8, all_16_7) =
% 40.86/6.43 | | | | | | | | | all_73_2 & smaller(all_73_3, all_73_2) = 0 &
% 40.86/6.43 | | | | | | | | | $i(all_73_2) & $i(all_73_3)) | ( ~ (all_73_0 =
% 40.86/6.43 | | | | | | | | | 0) & capability(all_16_8, all_16_6) =
% 40.86/6.43 | | | | | | | | | all_73_7 & capability(all_16_8, all_16_7) =
% 40.86/6.43 | | | | | | | | | all_73_6 & greater_or_equal(all_73_7, all_73_6)
% 40.86/6.43 | | | | | | | | | = all_73_0 & $i(all_73_6) & $i(all_73_7) & (( ~
% 40.86/6.43 | | | | | | | | | (all_73_4 = 0) & greater_or_equal(all_52_2,
% 40.86/6.43 | | | | | | | | | all_52_1) = all_73_4) | ( ~ (all_73_5 =
% 40.86/6.43 | | | | | | | | | 0) & greater(all_73_7, all_73_6) =
% 40.86/6.43 | | | | | | | | | all_73_5)))))
% 40.86/6.43 | | | | | | | | |
% 40.86/6.43 | | | | | | | | | BETA: splitting (127) gives:
% 40.86/6.43 | | | | | | | | |
% 40.86/6.43 | | | | | | | | | Case 1:
% 40.86/6.43 | | | | | | | | | |
% 40.86/6.43 | | | | | | | | | | (128) ~ (all_73_10 = 0) & organization(all_16_8) =
% 40.86/6.43 | | | | | | | | | | all_73_10
% 40.86/6.43 | | | | | | | | | |
% 40.86/6.43 | | | | | | | | | | ALPHA: (128) implies:
% 40.86/6.43 | | | | | | | | | | (129) ~ (all_73_10 = 0)
% 40.86/6.43 | | | | | | | | | | (130) organization(all_16_8) = all_73_10
% 40.86/6.43 | | | | | | | | | |
% 40.86/6.43 | | | | | | | | | | GROUND_INST: instantiating (16) with 0, all_73_10, all_16_8,
% 40.86/6.43 | | | | | | | | | | simplifying with (36), (130) gives:
% 40.86/6.43 | | | | | | | | | | (131) all_73_10 = 0
% 40.86/6.43 | | | | | | | | | |
% 40.86/6.43 | | | | | | | | | | REDUCE: (129), (131) imply:
% 40.86/6.43 | | | | | | | | | | (132) $false
% 40.86/6.43 | | | | | | | | | |
% 40.86/6.43 | | | | | | | | | | CLOSE: (132) is inconsistent.
% 40.86/6.43 | | | | | | | | | |
% 40.86/6.43 | | | | | | | | | Case 2:
% 40.86/6.43 | | | | | | | | | |
% 40.86/6.43 | | | | | | | | | | (133) ( ~ (all_52_1 = all_52_2) | (all_73_2 = all_73_3 &
% 40.86/6.43 | | | | | | | | | | hazard_of_mortality(all_16_8, all_16_6) =
% 40.86/6.43 | | | | | | | | | | all_73_3 & hazard_of_mortality(all_16_8,
% 40.86/6.43 | | | | | | | | | | all_16_7) = all_73_3 & $i(all_73_3)) | ( ~
% 40.86/6.43 | | | | | | | | | | (all_73_6 = all_73_7) & capability(all_16_8,
% 40.86/6.43 | | | | | | | | | | all_16_6) = all_73_7 & capability(all_16_8,
% 40.86/6.43 | | | | | | | | | | all_16_7) = all_73_6 & $i(all_73_6) &
% 40.86/6.43 | | | | | | | | | | $i(all_73_7))) & ((all_73_1 = 0 &
% 40.86/6.43 | | | | | | | | | | hazard_of_mortality(all_16_8, all_16_6) =
% 40.86/6.43 | | | | | | | | | | all_73_3 & hazard_of_mortality(all_16_8,
% 40.86/6.43 | | | | | | | | | | all_16_7) = all_73_2 & smaller(all_73_3,
% 40.86/6.43 | | | | | | | | | | all_73_2) = 0 & $i(all_73_2) & $i(all_73_3))
% 40.86/6.43 | | | | | | | | | | | ( ~ (all_73_0 = 0) & capability(all_16_8,
% 40.86/6.43 | | | | | | | | | | all_16_6) = all_73_7 & capability(all_16_8,
% 40.86/6.43 | | | | | | | | | | all_16_7) = all_73_6 &
% 40.86/6.43 | | | | | | | | | | greater_or_equal(all_73_7, all_73_6) = all_73_0
% 40.86/6.43 | | | | | | | | | | & $i(all_73_6) & $i(all_73_7) & (( ~ (all_73_4
% 40.86/6.43 | | | | | | | | | | = 0) & greater_or_equal(all_52_2,
% 40.86/6.43 | | | | | | | | | | all_52_1) = all_73_4) | ( ~ (all_73_5 =
% 40.86/6.43 | | | | | | | | | | 0) & greater(all_73_7, all_73_6) =
% 40.86/6.43 | | | | | | | | | | all_73_5))))
% 40.86/6.43 | | | | | | | | | |
% 40.86/6.43 | | | | | | | | | | ALPHA: (133) implies:
% 40.86/6.43 | | | | | | | | | | (134) (all_73_1 = 0 & hazard_of_mortality(all_16_8,
% 40.86/6.43 | | | | | | | | | | all_16_6) = all_73_3 &
% 40.86/6.43 | | | | | | | | | | hazard_of_mortality(all_16_8, all_16_7) =
% 40.86/6.43 | | | | | | | | | | all_73_2 & smaller(all_73_3, all_73_2) = 0 &
% 40.86/6.43 | | | | | | | | | | $i(all_73_2) & $i(all_73_3)) | ( ~ (all_73_0 = 0)
% 40.86/6.43 | | | | | | | | | | & capability(all_16_8, all_16_6) = all_73_7 &
% 40.86/6.43 | | | | | | | | | | capability(all_16_8, all_16_7) = all_73_6 &
% 40.86/6.43 | | | | | | | | | | greater_or_equal(all_73_7, all_73_6) = all_73_0 &
% 40.86/6.43 | | | | | | | | | | $i(all_73_6) & $i(all_73_7) & (( ~ (all_73_4 = 0)
% 40.86/6.43 | | | | | | | | | | & greater_or_equal(all_52_2, all_52_1) =
% 40.86/6.43 | | | | | | | | | | all_73_4) | ( ~ (all_73_5 = 0) &
% 40.86/6.43 | | | | | | | | | | greater(all_73_7, all_73_6) = all_73_5)))
% 40.86/6.43 | | | | | | | | | |
% 40.86/6.43 | | | | | | | | | | BETA: splitting (89) gives:
% 40.86/6.43 | | | | | | | | | |
% 40.86/6.43 | | | | | | | | | | Case 1:
% 40.86/6.43 | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | (135) ~ (all_95_9 = 0) & organization(all_16_8) =
% 40.86/6.44 | | | | | | | | | | | all_95_9
% 40.86/6.44 | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | ALPHA: (135) implies:
% 40.86/6.44 | | | | | | | | | | | (136) ~ (all_95_9 = 0)
% 40.86/6.44 | | | | | | | | | | | (137) organization(all_16_8) = all_95_9
% 40.86/6.44 | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | GROUND_INST: instantiating (16) with 0, all_95_9, all_16_8,
% 40.86/6.44 | | | | | | | | | | | simplifying with (36), (137) gives:
% 40.86/6.44 | | | | | | | | | | | (138) all_95_9 = 0
% 40.86/6.44 | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | REDUCE: (136), (138) imply:
% 40.86/6.44 | | | | | | | | | | | (139) $false
% 40.86/6.44 | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | CLOSE: (139) is inconsistent.
% 40.86/6.44 | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | Case 2:
% 40.86/6.44 | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | (140) ( ~ (all_26_1 = all_26_2) | (all_95_3 = all_95_4 &
% 40.86/6.44 | | | | | | | | | | | capability(all_16_8, all_16_6) = all_95_4 &
% 40.86/6.44 | | | | | | | | | | | capability(all_16_8, all_16_7) = all_95_4 &
% 40.86/6.44 | | | | | | | | | | | $i(all_95_4)) | ( ~ (all_95_6 = all_95_7) &
% 40.86/6.44 | | | | | | | | | | | internal_friction(all_16_8, all_16_6) =
% 40.86/6.44 | | | | | | | | | | | all_95_6 & internal_friction(all_16_8,
% 40.86/6.44 | | | | | | | | | | | all_16_7) = all_95_7 & $i(all_95_6) &
% 40.86/6.44 | | | | | | | | | | | $i(all_95_7))) & ((all_95_0 = 0 &
% 40.86/6.44 | | | | | | | | | | | capability(all_16_8, all_16_6) = all_95_3 &
% 40.86/6.44 | | | | | | | | | | | capability(all_16_8, all_16_7) = all_95_4 &
% 40.86/6.44 | | | | | | | | | | | smaller(all_95_4, all_95_3) = 0 & $i(all_95_3)
% 40.86/6.44 | | | | | | | | | | | & $i(all_95_4)) | ( ~ (all_95_1 = 0) &
% 40.86/6.44 | | | | | | | | | | | internal_friction(all_16_8, all_16_6) =
% 40.86/6.44 | | | | | | | | | | | all_95_6 & internal_friction(all_16_8,
% 40.86/6.44 | | | | | | | | | | | all_16_7) = all_95_7 & greater(all_95_7,
% 40.86/6.44 | | | | | | | | | | | all_95_6) = all_95_1 & $i(all_95_6) &
% 40.86/6.44 | | | | | | | | | | | $i(all_95_7))) & ((all_95_2 = 0 &
% 40.86/6.44 | | | | | | | | | | | capability(all_16_8, all_16_6) = all_95_3 &
% 40.86/6.44 | | | | | | | | | | | capability(all_16_8, all_16_7) = all_95_4 &
% 40.86/6.44 | | | | | | | | | | | greater(all_95_4, all_95_3) = 0 & $i(all_95_3)
% 40.86/6.44 | | | | | | | | | | | & $i(all_95_4)) | ( ~ (all_95_5 = 0) &
% 40.86/6.44 | | | | | | | | | | | internal_friction(all_16_8, all_16_6) =
% 40.86/6.44 | | | | | | | | | | | all_95_6 & internal_friction(all_16_8,
% 40.86/6.44 | | | | | | | | | | | all_16_7) = all_95_7 &
% 40.86/6.44 | | | | | | | | | | | smaller_or_equal(all_95_7, all_95_6) =
% 40.86/6.44 | | | | | | | | | | | all_95_5 & $i(all_95_6) & $i(all_95_7)) | ( ~
% 40.86/6.44 | | | | | | | | | | | (all_95_8 = 0) & greater(all_26_1, all_26_2) =
% 40.86/6.44 | | | | | | | | | | | all_95_8))
% 40.86/6.44 | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | ALPHA: (140) implies:
% 40.86/6.44 | | | | | | | | | | | (141) (all_95_0 = 0 & capability(all_16_8, all_16_6) =
% 40.86/6.44 | | | | | | | | | | | all_95_3 & capability(all_16_8, all_16_7) =
% 40.86/6.44 | | | | | | | | | | | all_95_4 & smaller(all_95_4, all_95_3) = 0 &
% 40.86/6.44 | | | | | | | | | | | $i(all_95_3) & $i(all_95_4)) | ( ~ (all_95_1 =
% 40.86/6.44 | | | | | | | | | | | 0) & internal_friction(all_16_8, all_16_6) =
% 40.86/6.44 | | | | | | | | | | | all_95_6 & internal_friction(all_16_8, all_16_7)
% 40.86/6.44 | | | | | | | | | | | = all_95_7 & greater(all_95_7, all_95_6) =
% 40.86/6.44 | | | | | | | | | | | all_95_1 & $i(all_95_6) & $i(all_95_7))
% 40.86/6.44 | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | BETA: splitting (134) gives:
% 40.86/6.44 | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | Case 1:
% 40.86/6.44 | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | | (142) all_73_1 = 0 & hazard_of_mortality(all_16_8,
% 40.86/6.44 | | | | | | | | | | | | all_16_6) = all_73_3 &
% 40.86/6.44 | | | | | | | | | | | | hazard_of_mortality(all_16_8, all_16_7) = all_73_2
% 40.86/6.44 | | | | | | | | | | | | & smaller(all_73_3, all_73_2) = 0 & $i(all_73_2) &
% 40.86/6.44 | | | | | | | | | | | | $i(all_73_3)
% 40.86/6.44 | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | | ALPHA: (142) implies:
% 40.86/6.44 | | | | | | | | | | | | (143) smaller(all_73_3, all_73_2) = 0
% 40.86/6.44 | | | | | | | | | | | | (144) hazard_of_mortality(all_16_8, all_16_7) = all_73_2
% 40.86/6.44 | | | | | | | | | | | | (145) hazard_of_mortality(all_16_8, all_16_6) = all_73_3
% 40.86/6.44 | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | | GROUND_INST: instantiating (21) with all_16_1, all_73_2,
% 40.86/6.44 | | | | | | | | | | | | all_16_7, all_16_8, simplifying with (37), (144)
% 40.86/6.44 | | | | | | | | | | | | gives:
% 40.86/6.44 | | | | | | | | | | | | (146) all_73_2 = all_16_1
% 40.86/6.44 | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | | GROUND_INST: instantiating (21) with all_16_2, all_73_3,
% 40.86/6.44 | | | | | | | | | | | | all_16_6, all_16_8, simplifying with (38), (145)
% 40.86/6.44 | | | | | | | | | | | | gives:
% 40.86/6.44 | | | | | | | | | | | | (147) all_73_3 = all_16_2
% 40.86/6.44 | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | | REDUCE: (143), (146), (147) imply:
% 40.86/6.44 | | | | | | | | | | | | (148) smaller(all_16_2, all_16_1) = 0
% 40.86/6.44 | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | | GROUND_INST: instantiating (18) with all_16_0, 0, all_16_1,
% 40.86/6.44 | | | | | | | | | | | | all_16_2, simplifying with (33), (148) gives:
% 40.86/6.44 | | | | | | | | | | | | (149) all_16_0 = 0
% 40.86/6.44 | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | | REDUCE: (27), (149) imply:
% 40.86/6.44 | | | | | | | | | | | | (150) $false
% 40.86/6.44 | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | | CLOSE: (150) is inconsistent.
% 40.86/6.44 | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | Case 2:
% 40.86/6.44 | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | | (151) ~ (all_73_0 = 0) & capability(all_16_8, all_16_6)
% 40.86/6.44 | | | | | | | | | | | | = all_73_7 & capability(all_16_8, all_16_7) =
% 40.86/6.44 | | | | | | | | | | | | all_73_6 & greater_or_equal(all_73_7, all_73_6) =
% 40.86/6.44 | | | | | | | | | | | | all_73_0 & $i(all_73_6) & $i(all_73_7) & (( ~
% 40.86/6.44 | | | | | | | | | | | | (all_73_4 = 0) & greater_or_equal(all_52_2,
% 40.86/6.44 | | | | | | | | | | | | all_52_1) = all_73_4) | ( ~ (all_73_5 = 0) &
% 40.86/6.44 | | | | | | | | | | | | greater(all_73_7, all_73_6) = all_73_5))
% 40.86/6.44 | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | | ALPHA: (151) implies:
% 40.86/6.44 | | | | | | | | | | | | (152) $i(all_73_7)
% 40.86/6.44 | | | | | | | | | | | | (153) $i(all_73_6)
% 40.86/6.44 | | | | | | | | | | | | (154) capability(all_16_8, all_16_7) = all_73_6
% 40.86/6.44 | | | | | | | | | | | | (155) capability(all_16_8, all_16_6) = all_73_7
% 40.86/6.44 | | | | | | | | | | | | (156) ( ~ (all_73_4 = 0) & greater_or_equal(all_52_2,
% 40.86/6.44 | | | | | | | | | | | | all_52_1) = all_73_4) | ( ~ (all_73_5 = 0) &
% 40.86/6.44 | | | | | | | | | | | | greater(all_73_7, all_73_6) = all_73_5)
% 40.86/6.44 | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | | BETA: splitting (156) gives:
% 40.86/6.44 | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | | Case 1:
% 40.86/6.44 | | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | | | (157) ~ (all_73_4 = 0) & greater_or_equal(all_52_2,
% 40.86/6.44 | | | | | | | | | | | | | all_52_1) = all_73_4
% 40.86/6.44 | | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | | | ALPHA: (157) implies:
% 40.86/6.44 | | | | | | | | | | | | | (158) ~ (all_73_4 = 0)
% 40.86/6.44 | | | | | | | | | | | | | (159) greater_or_equal(all_52_2, all_52_1) = all_73_4
% 40.86/6.44 | | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | | | GROUND_INST: instantiating (19) with 0, all_73_4, all_52_1,
% 40.86/6.44 | | | | | | | | | | | | | all_52_2, simplifying with (80), (159) gives:
% 40.86/6.44 | | | | | | | | | | | | | (160) all_73_4 = 0
% 40.86/6.44 | | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | | | REDUCE: (158), (160) imply:
% 40.86/6.44 | | | | | | | | | | | | | (161) $false
% 40.86/6.44 | | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | | | CLOSE: (161) is inconsistent.
% 40.86/6.44 | | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | | Case 2:
% 40.86/6.44 | | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | | | (162) ~ (all_73_5 = 0) & greater(all_73_7, all_73_6) =
% 40.86/6.44 | | | | | | | | | | | | | all_73_5
% 40.86/6.44 | | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | | | ALPHA: (162) implies:
% 40.86/6.44 | | | | | | | | | | | | | (163) ~ (all_73_5 = 0)
% 40.86/6.44 | | | | | | | | | | | | | (164) greater(all_73_7, all_73_6) = all_73_5
% 40.86/6.44 | | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | | | BETA: splitting (88) gives:
% 40.86/6.44 | | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | | | Case 1:
% 40.86/6.44 | | | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | | | | (165) (all_93_8 = 0 & has_immunity(all_16_8, all_16_6) =
% 40.86/6.44 | | | | | | | | | | | | | | 0) | (all_93_9 = 0 & has_immunity(all_16_8,
% 40.86/6.44 | | | | | | | | | | | | | | all_16_7) = 0)
% 40.86/6.44 | | | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 40.86/6.44 | | | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | | | | Case 1:
% 40.86/6.44 | | | | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | | | | | (166) all_93_8 = 0 & has_immunity(all_16_8, all_16_6) =
% 40.86/6.44 | | | | | | | | | | | | | | | 0
% 40.86/6.44 | | | | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | | | | | ALPHA: (166) implies:
% 40.86/6.44 | | | | | | | | | | | | | | | (167) has_immunity(all_16_8, all_16_6) = 0
% 40.86/6.44 | | | | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | | | | | GROUND_INST: instantiating (assumption_1) with all_16_8,
% 40.86/6.44 | | | | | | | | | | | | | | | all_16_6, simplifying with (28), (30), (167)
% 40.86/6.44 | | | | | | | | | | | | | | | gives:
% 40.86/6.44 | | | | | | | | | | | | | | | (168) ? [v0: int] : ? [v1: int] : ((v1 = 0 &
% 40.86/6.44 | | | | | | | | | | | | | | | has_endowment(all_16_8) = 0) | ( ~ (v0 = 0) &
% 40.86/6.44 | | | | | | | | | | | | | | | organization(all_16_8) = v0))
% 40.86/6.44 | | | | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | | | | | DELTA: instantiating (168) with fresh symbols all_262_0,
% 40.86/6.44 | | | | | | | | | | | | | | | all_262_1 gives:
% 40.86/6.44 | | | | | | | | | | | | | | | (169) (all_262_0 = 0 & has_endowment(all_16_8) = 0) | (
% 40.86/6.44 | | | | | | | | | | | | | | | ~ (all_262_1 = 0) & organization(all_16_8) =
% 40.86/6.44 | | | | | | | | | | | | | | | all_262_1)
% 40.86/6.44 | | | | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | | | | | BETA: splitting (169) gives:
% 40.86/6.44 | | | | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | | | | | Case 1:
% 40.86/6.44 | | | | | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | | | | | | (170) all_262_0 = 0 & has_endowment(all_16_8) = 0
% 40.86/6.44 | | | | | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | | | | | | ALPHA: (170) implies:
% 40.86/6.44 | | | | | | | | | | | | | | | | (171) has_endowment(all_16_8) = 0
% 40.86/6.44 | | | | | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | | | | | | REF_CLOSE: (15), (26), (35), (171) are inconsistent by
% 40.86/6.44 | | | | | | | | | | | | | | | | sub-proof #1.
% 40.86/6.44 | | | | | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | | | | | Case 2:
% 40.86/6.44 | | | | | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | | | | | | (172) ~ (all_262_1 = 0) & organization(all_16_8) =
% 40.86/6.44 | | | | | | | | | | | | | | | | all_262_1
% 40.86/6.44 | | | | | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | | | | | | ALPHA: (172) implies:
% 40.86/6.44 | | | | | | | | | | | | | | | | (173) ~ (all_262_1 = 0)
% 40.86/6.44 | | | | | | | | | | | | | | | | (174) organization(all_16_8) = all_262_1
% 40.86/6.44 | | | | | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with 0, all_262_1, all_16_8,
% 40.86/6.44 | | | | | | | | | | | | | | | | simplifying with (36), (174) gives:
% 40.86/6.44 | | | | | | | | | | | | | | | | (175) all_262_1 = 0
% 40.86/6.44 | | | | | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | | | | | | REDUCE: (173), (175) imply:
% 40.86/6.44 | | | | | | | | | | | | | | | | (176) $false
% 40.86/6.44 | | | | | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | | | | | | CLOSE: (176) is inconsistent.
% 40.86/6.44 | | | | | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | | | | | End of split
% 40.86/6.44 | | | | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | | | | Case 2:
% 40.86/6.44 | | | | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | | | | | (177) all_93_9 = 0 & has_immunity(all_16_8, all_16_7) =
% 40.86/6.44 | | | | | | | | | | | | | | | 0
% 40.86/6.44 | | | | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | | | | | ALPHA: (177) implies:
% 40.86/6.44 | | | | | | | | | | | | | | | (178) has_immunity(all_16_8, all_16_7) = 0
% 40.86/6.44 | | | | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | | | | | GROUND_INST: instantiating (assumption_1) with all_16_8,
% 40.86/6.44 | | | | | | | | | | | | | | | all_16_7, simplifying with (28), (29), (178)
% 40.86/6.44 | | | | | | | | | | | | | | | gives:
% 40.86/6.44 | | | | | | | | | | | | | | | (179) ? [v0: int] : ? [v1: int] : ((v1 = 0 &
% 40.86/6.44 | | | | | | | | | | | | | | | has_endowment(all_16_8) = 0) | ( ~ (v0 = 0) &
% 40.86/6.44 | | | | | | | | | | | | | | | organization(all_16_8) = v0))
% 40.86/6.44 | | | | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | | | | | DELTA: instantiating (179) with fresh symbols all_257_0,
% 40.86/6.44 | | | | | | | | | | | | | | | all_257_1 gives:
% 40.86/6.44 | | | | | | | | | | | | | | | (180) (all_257_0 = 0 & has_endowment(all_16_8) = 0) | (
% 40.86/6.44 | | | | | | | | | | | | | | | ~ (all_257_1 = 0) & organization(all_16_8) =
% 40.86/6.44 | | | | | | | | | | | | | | | all_257_1)
% 40.86/6.44 | | | | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 40.86/6.44 | | | | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | | | | | Case 1:
% 40.86/6.44 | | | | | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | | | | | | (181) all_257_0 = 0 & has_endowment(all_16_8) = 0
% 40.86/6.44 | | | | | | | | | | | | | | | |
% 40.86/6.44 | | | | | | | | | | | | | | | | ALPHA: (181) implies:
% 40.86/6.44 | | | | | | | | | | | | | | | | (182) has_endowment(all_16_8) = 0
% 40.86/6.44 | | | | | | | | | | | | | | | |
% 40.86/6.45 | | | | | | | | | | | | | | | | REF_CLOSE: (15), (26), (35), (182) are inconsistent by
% 40.86/6.45 | | | | | | | | | | | | | | | | sub-proof #1.
% 40.86/6.45 | | | | | | | | | | | | | | | |
% 40.86/6.45 | | | | | | | | | | | | | | | Case 2:
% 40.86/6.45 | | | | | | | | | | | | | | | |
% 40.86/6.45 | | | | | | | | | | | | | | | | (183) ~ (all_257_1 = 0) & organization(all_16_8) =
% 40.86/6.45 | | | | | | | | | | | | | | | | all_257_1
% 40.86/6.45 | | | | | | | | | | | | | | | |
% 40.86/6.45 | | | | | | | | | | | | | | | | ALPHA: (183) implies:
% 40.86/6.45 | | | | | | | | | | | | | | | | (184) ~ (all_257_1 = 0)
% 40.86/6.45 | | | | | | | | | | | | | | | | (185) organization(all_16_8) = all_257_1
% 40.86/6.45 | | | | | | | | | | | | | | | |
% 40.86/6.45 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with 0, all_257_1, all_16_8,
% 40.86/6.45 | | | | | | | | | | | | | | | | simplifying with (36), (185) gives:
% 40.86/6.45 | | | | | | | | | | | | | | | | (186) all_257_1 = 0
% 40.86/6.45 | | | | | | | | | | | | | | | |
% 40.86/6.45 | | | | | | | | | | | | | | | | REDUCE: (184), (186) imply:
% 40.86/6.45 | | | | | | | | | | | | | | | | (187) $false
% 40.86/6.45 | | | | | | | | | | | | | | | |
% 40.86/6.45 | | | | | | | | | | | | | | | | CLOSE: (187) is inconsistent.
% 40.86/6.45 | | | | | | | | | | | | | | | |
% 40.86/6.45 | | | | | | | | | | | | | | | End of split
% 40.86/6.45 | | | | | | | | | | | | | | |
% 40.86/6.45 | | | | | | | | | | | | | | End of split
% 40.86/6.45 | | | | | | | | | | | | | |
% 40.86/6.45 | | | | | | | | | | | | | Case 2:
% 40.86/6.45 | | | | | | | | | | | | | |
% 40.86/6.45 | | | | | | | | | | | | | | (188) ( ~ (all_93_10 = 0) & organization(all_16_8) =
% 40.86/6.45 | | | | | | | | | | | | | | all_93_10) | (( ~ (all_52_1 = all_52_2) |
% 40.86/6.45 | | | | | | | | | | | | | | (all_93_3 = all_93_4 &
% 40.86/6.45 | | | | | | | | | | | | | | hazard_of_mortality(all_16_8, all_16_6) =
% 40.86/6.45 | | | | | | | | | | | | | | all_93_4 & hazard_of_mortality(all_16_8,
% 40.86/6.45 | | | | | | | | | | | | | | all_16_7) = all_93_4 & $i(all_93_4)) | ( ~
% 40.86/6.45 | | | | | | | | | | | | | | (all_93_6 = all_93_7) & capability(all_16_8,
% 40.86/6.45 | | | | | | | | | | | | | | all_16_6) = all_93_7 &
% 40.86/6.45 | | | | | | | | | | | | | | capability(all_16_8, all_16_7) = all_93_6 &
% 40.86/6.45 | | | | | | | | | | | | | | $i(all_93_6) & $i(all_93_7))) & ((all_93_2 =
% 40.86/6.45 | | | | | | | | | | | | | | 0 & hazard_of_mortality(all_16_8, all_16_6)
% 40.86/6.45 | | | | | | | | | | | | | | = all_93_4 & hazard_of_mortality(all_16_8,
% 40.86/6.45 | | | | | | | | | | | | | | all_16_7) = all_93_3 & smaller(all_93_4,
% 40.86/6.45 | | | | | | | | | | | | | | all_93_3) = 0 & $i(all_93_3) &
% 40.86/6.45 | | | | | | | | | | | | | | $i(all_93_4)) | ( ~ (all_93_5 = 0) &
% 40.86/6.45 | | | | | | | | | | | | | | capability(all_16_8, all_16_6) = all_93_7 &
% 40.86/6.45 | | | | | | | | | | | | | | capability(all_16_8, all_16_7) = all_93_6 &
% 40.86/6.45 | | | | | | | | | | | | | | greater(all_93_7, all_93_6) = all_93_5 &
% 40.86/6.45 | | | | | | | | | | | | | | $i(all_93_6) & $i(all_93_7) & (( ~ (all_93_0
% 40.86/6.45 | | | | | | | | | | | | | | = 0) & greater(all_52_2, all_52_1) =
% 40.86/6.45 | | | | | | | | | | | | | | all_93_0) | ( ~ (all_93_1 = 0) &
% 40.86/6.45 | | | | | | | | | | | | | | greater_or_equal(all_93_7, all_93_6) =
% 40.86/6.45 | | | | | | | | | | | | | | all_93_1)))))
% 40.86/6.45 | | | | | | | | | | | | | |
% 40.86/6.45 | | | | | | | | | | | | | | BETA: splitting (188) gives:
% 40.86/6.45 | | | | | | | | | | | | | |
% 40.86/6.45 | | | | | | | | | | | | | | Case 1:
% 40.86/6.45 | | | | | | | | | | | | | | |
% 40.86/6.45 | | | | | | | | | | | | | | | (189) ~ (all_93_10 = 0) & organization(all_16_8) =
% 40.86/6.45 | | | | | | | | | | | | | | | all_93_10
% 40.86/6.45 | | | | | | | | | | | | | | |
% 40.86/6.45 | | | | | | | | | | | | | | | ALPHA: (189) implies:
% 40.86/6.45 | | | | | | | | | | | | | | | (190) ~ (all_93_10 = 0)
% 40.86/6.45 | | | | | | | | | | | | | | | (191) organization(all_16_8) = all_93_10
% 40.86/6.45 | | | | | | | | | | | | | | |
% 40.86/6.45 | | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with 0, all_93_10, all_16_8,
% 40.86/6.45 | | | | | | | | | | | | | | | simplifying with (36), (191) gives:
% 40.86/6.45 | | | | | | | | | | | | | | | (192) all_93_10 = 0
% 40.86/6.45 | | | | | | | | | | | | | | |
% 40.86/6.45 | | | | | | | | | | | | | | | REDUCE: (190), (192) imply:
% 40.86/6.45 | | | | | | | | | | | | | | | (193) $false
% 40.86/6.45 | | | | | | | | | | | | | | |
% 40.86/6.45 | | | | | | | | | | | | | | | CLOSE: (193) is inconsistent.
% 40.86/6.45 | | | | | | | | | | | | | | |
% 40.86/6.45 | | | | | | | | | | | | | | Case 2:
% 40.86/6.45 | | | | | | | | | | | | | | |
% 40.86/6.45 | | | | | | | | | | | | | | | (194) ( ~ (all_52_1 = all_52_2) | (all_93_3 = all_93_4 &
% 40.86/6.45 | | | | | | | | | | | | | | | hazard_of_mortality(all_16_8, all_16_6) =
% 40.86/6.45 | | | | | | | | | | | | | | | all_93_4 & hazard_of_mortality(all_16_8,
% 40.86/6.45 | | | | | | | | | | | | | | | all_16_7) = all_93_4 & $i(all_93_4)) | ( ~
% 40.86/6.45 | | | | | | | | | | | | | | | (all_93_6 = all_93_7) & capability(all_16_8,
% 40.86/6.45 | | | | | | | | | | | | | | | all_16_6) = all_93_7 & capability(all_16_8,
% 40.86/6.45 | | | | | | | | | | | | | | | all_16_7) = all_93_6 & $i(all_93_6) &
% 40.86/6.45 | | | | | | | | | | | | | | | $i(all_93_7))) & ((all_93_2 = 0 &
% 40.86/6.45 | | | | | | | | | | | | | | | hazard_of_mortality(all_16_8, all_16_6) =
% 40.86/6.45 | | | | | | | | | | | | | | | all_93_4 & hazard_of_mortality(all_16_8,
% 40.86/6.45 | | | | | | | | | | | | | | | all_16_7) = all_93_3 & smaller(all_93_4,
% 40.86/6.45 | | | | | | | | | | | | | | | all_93_3) = 0 & $i(all_93_3) & $i(all_93_4))
% 40.86/6.45 | | | | | | | | | | | | | | | | ( ~ (all_93_5 = 0) & capability(all_16_8,
% 40.86/6.45 | | | | | | | | | | | | | | | all_16_6) = all_93_7 & capability(all_16_8,
% 40.86/6.45 | | | | | | | | | | | | | | | all_16_7) = all_93_6 & greater(all_93_7,
% 40.86/6.45 | | | | | | | | | | | | | | | all_93_6) = all_93_5 & $i(all_93_6) &
% 40.86/6.45 | | | | | | | | | | | | | | | $i(all_93_7) & (( ~ (all_93_0 = 0) &
% 40.86/6.45 | | | | | | | | | | | | | | | greater(all_52_2, all_52_1) = all_93_0) |
% 40.86/6.45 | | | | | | | | | | | | | | | ( ~ (all_93_1 = 0) &
% 40.86/6.45 | | | | | | | | | | | | | | | greater_or_equal(all_93_7, all_93_6) =
% 40.86/6.45 | | | | | | | | | | | | | | | all_93_1))))
% 40.86/6.45 | | | | | | | | | | | | | | |
% 40.86/6.45 | | | | | | | | | | | | | | | ALPHA: (194) implies:
% 40.86/6.45 | | | | | | | | | | | | | | | (195) (all_93_2 = 0 & hazard_of_mortality(all_16_8,
% 40.86/6.45 | | | | | | | | | | | | | | | all_16_6) = all_93_4 &
% 40.86/6.45 | | | | | | | | | | | | | | | hazard_of_mortality(all_16_8, all_16_7) =
% 40.86/6.45 | | | | | | | | | | | | | | | all_93_3 & smaller(all_93_4, all_93_3) = 0 &
% 40.86/6.45 | | | | | | | | | | | | | | | $i(all_93_3) & $i(all_93_4)) | ( ~ (all_93_5 =
% 40.86/6.45 | | | | | | | | | | | | | | | 0) & capability(all_16_8, all_16_6) = all_93_7
% 40.86/6.45 | | | | | | | | | | | | | | | & capability(all_16_8, all_16_7) = all_93_6 &
% 40.86/6.45 | | | | | | | | | | | | | | | greater(all_93_7, all_93_6) = all_93_5 &
% 40.86/6.45 | | | | | | | | | | | | | | | $i(all_93_6) & $i(all_93_7) & (( ~ (all_93_0 =
% 40.86/6.45 | | | | | | | | | | | | | | | 0) & greater(all_52_2, all_52_1) =
% 40.86/6.45 | | | | | | | | | | | | | | | all_93_0) | ( ~ (all_93_1 = 0) &
% 40.86/6.45 | | | | | | | | | | | | | | | greater_or_equal(all_93_7, all_93_6) =
% 40.86/6.45 | | | | | | | | | | | | | | | all_93_1)))
% 40.86/6.45 | | | | | | | | | | | | | | |
% 40.86/6.45 | | | | | | | | | | | | | | | GROUND_INST: instantiating (5) with all_73_6, all_73_7,
% 40.86/6.45 | | | | | | | | | | | | | | | all_73_5, simplifying with (152), (153), (164)
% 40.86/6.45 | | | | | | | | | | | | | | | gives:
% 40.86/6.45 | | | | | | | | | | | | | | | (196) all_73_5 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 40.86/6.45 | | | | | | | | | | | | | | | smaller(all_73_6, all_73_7) = v0)
% 40.86/6.45 | | | | | | | | | | | | | | |
% 40.86/6.45 | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_16_8, all_16_7,
% 40.86/6.45 | | | | | | | | | | | | | | | all_16_6, all_73_7, all_73_6, all_73_5,
% 40.86/6.45 | | | | | | | | | | | | | | | simplifying with (28), (29), (30), (154), (155),
% 40.86/6.45 | | | | | | | | | | | | | | | (164) gives:
% 40.86/6.45 | | | | | | | | | | | | | | | (197) ? [v0: int] : ? [v1: $i] : ? [v2: $i] : ? [v3:
% 40.86/6.45 | | | | | | | | | | | | | | | int] : ? [v4: $i] : ? [v5: $i] : ? [v6: int]
% 40.86/6.45 | | | | | | | | | | | | | | | : ? [v7: int] : ? [v8: int] : ? [v9: int] : ((
% 40.86/6.45 | | | | | | | | | | | | | | | ~ (v0 = 0) & organization(all_16_8) = v0) |
% 40.86/6.45 | | | | | | | | | | | | | | | ((all_73_5 = 0 | ( ~ (v6 = 0) &
% 40.86/6.45 | | | | | | | | | | | | | | | internal_friction(all_16_8, all_16_6) = v4
% 40.86/6.45 | | | | | | | | | | | | | | | & internal_friction(all_16_8, all_16_7) =
% 40.86/6.45 | | | | | | | | | | | | | | | v5 & smaller_or_equal(v4, v5) = v6 &
% 40.86/6.45 | | | | | | | | | | | | | | | $i(v5) & $i(v4)) | ( ~ (v3 = 0) &
% 40.86/6.45 | | | | | | | | | | | | | | | stock_of_knowledge(all_16_8, all_16_6) =
% 40.86/6.45 | | | | | | | | | | | | | | | v1 & stock_of_knowledge(all_16_8,
% 40.86/6.45 | | | | | | | | | | | | | | | all_16_7) = v2 & greater(v1, v2) = v3 &
% 40.86/6.45 | | | | | | | | | | | | | | | $i(v2) & $i(v1))) & (all_73_6 = all_73_7 |
% 40.86/6.45 | | | | | | | | | | | | | | | ( ~ (v5 = v4) & internal_friction(all_16_8,
% 40.86/6.45 | | | | | | | | | | | | | | | all_16_6) = v4 &
% 40.86/6.45 | | | | | | | | | | | | | | | internal_friction(all_16_8, all_16_7) = v5
% 40.86/6.45 | | | | | | | | | | | | | | | & $i(v5) & $i(v4)) | ( ~ (v2 = v1) &
% 40.86/6.45 | | | | | | | | | | | | | | | stock_of_knowledge(all_16_8, all_16_6) =
% 40.86/6.45 | | | | | | | | | | | | | | | v1 & stock_of_knowledge(all_16_8,
% 40.86/6.45 | | | | | | | | | | | | | | | all_16_7) = v2 & $i(v2) & $i(v1))) &
% 40.86/6.45 | | | | | | | | | | | | | | | ((v9 = 0 & smaller(all_73_7, all_73_6) = 0) |
% 40.86/6.45 | | | | | | | | | | | | | | | ( ~ (v8 = 0) & internal_friction(all_16_8,
% 40.86/6.45 | | | | | | | | | | | | | | | all_16_6) = v4 &
% 40.86/6.45 | | | | | | | | | | | | | | | internal_friction(all_16_8, all_16_7) = v5
% 40.86/6.45 | | | | | | | | | | | | | | | & greater(v4, v5) = v8 & $i(v5) & $i(v4))
% 40.86/6.45 | | | | | | | | | | | | | | | | ( ~ (v7 = 0) &
% 40.86/6.45 | | | | | | | | | | | | | | | stock_of_knowledge(all_16_8, all_16_6) =
% 40.86/6.45 | | | | | | | | | | | | | | | v1 & stock_of_knowledge(all_16_8,
% 40.86/6.45 | | | | | | | | | | | | | | | all_16_7) = v2 & smaller_or_equal(v1,
% 40.86/6.45 | | | | | | | | | | | | | | | v2) = v7 & $i(v2) & $i(v1)))))
% 40.86/6.45 | | | | | | | | | | | | | | |
% 40.86/6.45 | | | | | | | | | | | | | | | DELTA: instantiating (197) with fresh symbols all_254_0,
% 40.86/6.45 | | | | | | | | | | | | | | | all_254_1, all_254_2, all_254_3, all_254_4,
% 40.86/6.45 | | | | | | | | | | | | | | | all_254_5, all_254_6, all_254_7, all_254_8,
% 40.86/6.45 | | | | | | | | | | | | | | | all_254_9 gives:
% 40.86/6.45 | | | | | | | | | | | | | | | (198) ( ~ (all_254_9 = 0) & organization(all_16_8) =
% 40.86/6.45 | | | | | | | | | | | | | | | all_254_9) | ((all_73_5 = 0 | ( ~ (all_254_3 =
% 40.86/6.45 | | | | | | | | | | | | | | | 0) & internal_friction(all_16_8, all_16_6)
% 40.86/6.45 | | | | | | | | | | | | | | | = all_254_5 & internal_friction(all_16_8,
% 40.86/6.45 | | | | | | | | | | | | | | | all_16_7) = all_254_4 &
% 40.86/6.45 | | | | | | | | | | | | | | | smaller_or_equal(all_254_5, all_254_4) =
% 40.86/6.45 | | | | | | | | | | | | | | | all_254_3 & $i(all_254_4) & $i(all_254_5)) |
% 40.86/6.45 | | | | | | | | | | | | | | | ( ~ (all_254_6 = 0) &
% 40.86/6.45 | | | | | | | | | | | | | | | stock_of_knowledge(all_16_8, all_16_6) =
% 40.86/6.45 | | | | | | | | | | | | | | | all_254_8 & stock_of_knowledge(all_16_8,
% 40.86/6.45 | | | | | | | | | | | | | | | all_16_7) = all_254_7 & greater(all_254_8,
% 40.86/6.45 | | | | | | | | | | | | | | | all_254_7) = all_254_6 & $i(all_254_7) &
% 40.86/6.45 | | | | | | | | | | | | | | | $i(all_254_8))) & (all_73_6 = all_73_7 | ( ~
% 40.86/6.45 | | | | | | | | | | | | | | | (all_254_4 = all_254_5) &
% 40.86/6.45 | | | | | | | | | | | | | | | internal_friction(all_16_8, all_16_6) =
% 40.86/6.45 | | | | | | | | | | | | | | | all_254_5 & internal_friction(all_16_8,
% 40.86/6.45 | | | | | | | | | | | | | | | all_16_7) = all_254_4 & $i(all_254_4) &
% 40.86/6.45 | | | | | | | | | | | | | | | $i(all_254_5)) | ( ~ (all_254_7 = all_254_8)
% 40.86/6.45 | | | | | | | | | | | | | | | & stock_of_knowledge(all_16_8, all_16_6) =
% 40.86/6.45 | | | | | | | | | | | | | | | all_254_8 & stock_of_knowledge(all_16_8,
% 40.86/6.45 | | | | | | | | | | | | | | | all_16_7) = all_254_7 & $i(all_254_7) &
% 40.86/6.45 | | | | | | | | | | | | | | | $i(all_254_8))) & ((all_254_0 = 0 &
% 40.86/6.45 | | | | | | | | | | | | | | | smaller(all_73_7, all_73_6) = 0) | ( ~
% 40.86/6.45 | | | | | | | | | | | | | | | (all_254_1 = 0) &
% 40.86/6.45 | | | | | | | | | | | | | | | internal_friction(all_16_8, all_16_6) =
% 40.86/6.45 | | | | | | | | | | | | | | | all_254_5 & internal_friction(all_16_8,
% 40.86/6.45 | | | | | | | | | | | | | | | all_16_7) = all_254_4 & greater(all_254_5,
% 40.86/6.45 | | | | | | | | | | | | | | | all_254_4) = all_254_1 & $i(all_254_4) &
% 40.86/6.45 | | | | | | | | | | | | | | | $i(all_254_5)) | ( ~ (all_254_2 = 0) &
% 40.86/6.45 | | | | | | | | | | | | | | | stock_of_knowledge(all_16_8, all_16_6) =
% 40.86/6.45 | | | | | | | | | | | | | | | all_254_8 & stock_of_knowledge(all_16_8,
% 40.86/6.45 | | | | | | | | | | | | | | | all_16_7) = all_254_7 &
% 40.86/6.45 | | | | | | | | | | | | | | | smaller_or_equal(all_254_8, all_254_7) =
% 40.86/6.45 | | | | | | | | | | | | | | | all_254_2 & $i(all_254_7) & $i(all_254_8))))
% 40.86/6.45 | | | | | | | | | | | | | | |
% 40.86/6.45 | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 40.86/6.45 | | | | | | | | | | | | | | |
% 40.86/6.45 | | | | | | | | | | | | | | | Case 1:
% 40.86/6.45 | | | | | | | | | | | | | | | |
% 40.86/6.45 | | | | | | | | | | | | | | | | (199) all_93_2 = 0 & hazard_of_mortality(all_16_8,
% 40.86/6.45 | | | | | | | | | | | | | | | | all_16_6) = all_93_4 &
% 40.86/6.45 | | | | | | | | | | | | | | | | hazard_of_mortality(all_16_8, all_16_7) = all_93_3
% 40.86/6.45 | | | | | | | | | | | | | | | | & smaller(all_93_4, all_93_3) = 0 & $i(all_93_3) &
% 40.86/6.45 | | | | | | | | | | | | | | | | $i(all_93_4)
% 40.86/6.45 | | | | | | | | | | | | | | | |
% 40.86/6.45 | | | | | | | | | | | | | | | | ALPHA: (199) implies:
% 40.86/6.45 | | | | | | | | | | | | | | | | (200) smaller(all_93_4, all_93_3) = 0
% 40.86/6.45 | | | | | | | | | | | | | | | | (201) hazard_of_mortality(all_16_8, all_16_7) = all_93_3
% 40.86/6.45 | | | | | | | | | | | | | | | | (202) hazard_of_mortality(all_16_8, all_16_6) = all_93_4
% 40.86/6.45 | | | | | | | | | | | | | | | |
% 40.86/6.45 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (21) with all_16_1, all_93_3,
% 40.86/6.45 | | | | | | | | | | | | | | | | all_16_7, all_16_8, simplifying with (37), (201)
% 40.86/6.45 | | | | | | | | | | | | | | | | gives:
% 40.86/6.45 | | | | | | | | | | | | | | | | (203) all_93_3 = all_16_1
% 40.86/6.45 | | | | | | | | | | | | | | | |
% 40.86/6.45 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (21) with all_16_2, all_93_4,
% 40.86/6.45 | | | | | | | | | | | | | | | | all_16_6, all_16_8, simplifying with (38), (202)
% 40.86/6.45 | | | | | | | | | | | | | | | | gives:
% 40.86/6.45 | | | | | | | | | | | | | | | | (204) all_93_4 = all_16_2
% 40.86/6.45 | | | | | | | | | | | | | | | |
% 40.86/6.45 | | | | | | | | | | | | | | | | REDUCE: (200), (203), (204) imply:
% 40.86/6.45 | | | | | | | | | | | | | | | | (205) smaller(all_16_2, all_16_1) = 0
% 40.86/6.45 | | | | | | | | | | | | | | | |
% 40.86/6.45 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (18) with all_16_0, 0, all_16_1,
% 40.86/6.45 | | | | | | | | | | | | | | | | all_16_2, simplifying with (33), (205) gives:
% 40.86/6.45 | | | | | | | | | | | | | | | | (206) all_16_0 = 0
% 40.86/6.45 | | | | | | | | | | | | | | | |
% 40.86/6.45 | | | | | | | | | | | | | | | | REDUCE: (27), (206) imply:
% 40.86/6.45 | | | | | | | | | | | | | | | | (207) $false
% 40.86/6.45 | | | | | | | | | | | | | | | |
% 40.86/6.45 | | | | | | | | | | | | | | | | CLOSE: (207) is inconsistent.
% 40.86/6.45 | | | | | | | | | | | | | | | |
% 40.86/6.45 | | | | | | | | | | | | | | | Case 2:
% 40.86/6.45 | | | | | | | | | | | | | | | |
% 40.86/6.45 | | | | | | | | | | | | | | | | (208) ~ (all_93_5 = 0) & capability(all_16_8, all_16_6)
% 40.86/6.45 | | | | | | | | | | | | | | | | = all_93_7 & capability(all_16_8, all_16_7) =
% 40.86/6.45 | | | | | | | | | | | | | | | | all_93_6 & greater(all_93_7, all_93_6) = all_93_5
% 40.86/6.45 | | | | | | | | | | | | | | | | & $i(all_93_6) & $i(all_93_7) & (( ~ (all_93_0 =
% 40.86/6.45 | | | | | | | | | | | | | | | | 0) & greater(all_52_2, all_52_1) = all_93_0)
% 40.86/6.45 | | | | | | | | | | | | | | | | | ( ~ (all_93_1 = 0) &
% 40.86/6.45 | | | | | | | | | | | | | | | | greater_or_equal(all_93_7, all_93_6) =
% 40.86/6.45 | | | | | | | | | | | | | | | | all_93_1))
% 40.86/6.45 | | | | | | | | | | | | | | | |
% 40.86/6.45 | | | | | | | | | | | | | | | | ALPHA: (208) implies:
% 40.86/6.45 | | | | | | | | | | | | | | | | (209) ~ (all_93_5 = 0)
% 40.86/6.45 | | | | | | | | | | | | | | | | (210) greater(all_93_7, all_93_6) = all_93_5
% 40.86/6.45 | | | | | | | | | | | | | | | | (211) capability(all_16_8, all_16_7) = all_93_6
% 40.86/6.45 | | | | | | | | | | | | | | | | (212) capability(all_16_8, all_16_6) = all_93_7
% 40.86/6.45 | | | | | | | | | | | | | | | |
% 40.86/6.45 | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 40.86/6.45 | | | | | | | | | | | | | | | |
% 40.86/6.45 | | | | | | | | | | | | | | | | Case 1:
% 40.86/6.45 | | | | | | | | | | | | | | | | |
% 40.86/6.45 | | | | | | | | | | | | | | | | | (213) ~ (all_254_9 = 0) & organization(all_16_8) =
% 40.86/6.45 | | | | | | | | | | | | | | | | | all_254_9
% 40.86/6.45 | | | | | | | | | | | | | | | | |
% 40.86/6.45 | | | | | | | | | | | | | | | | | ALPHA: (213) implies:
% 40.86/6.45 | | | | | | | | | | | | | | | | | (214) ~ (all_254_9 = 0)
% 40.86/6.46 | | | | | | | | | | | | | | | | | (215) organization(all_16_8) = all_254_9
% 40.86/6.46 | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with 0, all_254_9, all_16_8,
% 40.86/6.46 | | | | | | | | | | | | | | | | | simplifying with (36), (215) gives:
% 40.86/6.46 | | | | | | | | | | | | | | | | | (216) all_254_9 = 0
% 40.86/6.46 | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | REDUCE: (214), (216) imply:
% 40.86/6.46 | | | | | | | | | | | | | | | | | (217) $false
% 40.86/6.46 | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | CLOSE: (217) is inconsistent.
% 40.86/6.46 | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | Case 2:
% 40.86/6.46 | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | (218) (all_73_5 = 0 | ( ~ (all_254_3 = 0) &
% 40.86/6.46 | | | | | | | | | | | | | | | | | internal_friction(all_16_8, all_16_6) =
% 40.86/6.46 | | | | | | | | | | | | | | | | | all_254_5 & internal_friction(all_16_8,
% 40.86/6.46 | | | | | | | | | | | | | | | | | all_16_7) = all_254_4 &
% 40.86/6.46 | | | | | | | | | | | | | | | | | smaller_or_equal(all_254_5, all_254_4) =
% 40.86/6.46 | | | | | | | | | | | | | | | | | all_254_3 & $i(all_254_4) & $i(all_254_5)) | (
% 40.86/6.46 | | | | | | | | | | | | | | | | | ~ (all_254_6 = 0) &
% 40.86/6.46 | | | | | | | | | | | | | | | | | stock_of_knowledge(all_16_8, all_16_6) =
% 40.86/6.46 | | | | | | | | | | | | | | | | | all_254_8 & stock_of_knowledge(all_16_8,
% 40.86/6.46 | | | | | | | | | | | | | | | | | all_16_7) = all_254_7 & greater(all_254_8,
% 40.86/6.46 | | | | | | | | | | | | | | | | | all_254_7) = all_254_6 & $i(all_254_7) &
% 40.86/6.46 | | | | | | | | | | | | | | | | | $i(all_254_8))) & (all_73_6 = all_73_7 | ( ~
% 40.86/6.46 | | | | | | | | | | | | | | | | | (all_254_4 = all_254_5) &
% 40.86/6.46 | | | | | | | | | | | | | | | | | internal_friction(all_16_8, all_16_6) =
% 40.86/6.46 | | | | | | | | | | | | | | | | | all_254_5 & internal_friction(all_16_8,
% 40.86/6.46 | | | | | | | | | | | | | | | | | all_16_7) = all_254_4 & $i(all_254_4) &
% 40.86/6.46 | | | | | | | | | | | | | | | | | $i(all_254_5)) | ( ~ (all_254_7 = all_254_8) &
% 40.86/6.46 | | | | | | | | | | | | | | | | | stock_of_knowledge(all_16_8, all_16_6) =
% 40.86/6.46 | | | | | | | | | | | | | | | | | all_254_8 & stock_of_knowledge(all_16_8,
% 40.86/6.46 | | | | | | | | | | | | | | | | | all_16_7) = all_254_7 & $i(all_254_7) &
% 40.86/6.46 | | | | | | | | | | | | | | | | | $i(all_254_8))) & ((all_254_0 = 0 &
% 40.86/6.46 | | | | | | | | | | | | | | | | | smaller(all_73_7, all_73_6) = 0) | ( ~
% 40.86/6.46 | | | | | | | | | | | | | | | | | (all_254_1 = 0) & internal_friction(all_16_8,
% 40.86/6.46 | | | | | | | | | | | | | | | | | all_16_6) = all_254_5 &
% 40.86/6.46 | | | | | | | | | | | | | | | | | internal_friction(all_16_8, all_16_7) =
% 40.86/6.46 | | | | | | | | | | | | | | | | | all_254_4 & greater(all_254_5, all_254_4) =
% 40.86/6.46 | | | | | | | | | | | | | | | | | all_254_1 & $i(all_254_4) & $i(all_254_5)) | (
% 40.86/6.46 | | | | | | | | | | | | | | | | | ~ (all_254_2 = 0) &
% 40.86/6.46 | | | | | | | | | | | | | | | | | stock_of_knowledge(all_16_8, all_16_6) =
% 40.86/6.46 | | | | | | | | | | | | | | | | | all_254_8 & stock_of_knowledge(all_16_8,
% 40.86/6.46 | | | | | | | | | | | | | | | | | all_16_7) = all_254_7 &
% 40.86/6.46 | | | | | | | | | | | | | | | | | smaller_or_equal(all_254_8, all_254_7) =
% 40.86/6.46 | | | | | | | | | | | | | | | | | all_254_2 & $i(all_254_7) & $i(all_254_8)))
% 40.86/6.46 | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | ALPHA: (218) implies:
% 40.86/6.46 | | | | | | | | | | | | | | | | | (219) all_73_5 = 0 | ( ~ (all_254_3 = 0) &
% 40.86/6.46 | | | | | | | | | | | | | | | | | internal_friction(all_16_8, all_16_6) =
% 40.86/6.46 | | | | | | | | | | | | | | | | | all_254_5 & internal_friction(all_16_8,
% 40.86/6.46 | | | | | | | | | | | | | | | | | all_16_7) = all_254_4 &
% 40.86/6.46 | | | | | | | | | | | | | | | | | smaller_or_equal(all_254_5, all_254_4) =
% 40.86/6.46 | | | | | | | | | | | | | | | | | all_254_3 & $i(all_254_4) & $i(all_254_5)) | ( ~
% 40.86/6.46 | | | | | | | | | | | | | | | | | (all_254_6 = 0) & stock_of_knowledge(all_16_8,
% 40.86/6.46 | | | | | | | | | | | | | | | | | all_16_6) = all_254_8 &
% 40.86/6.46 | | | | | | | | | | | | | | | | | stock_of_knowledge(all_16_8, all_16_7) =
% 40.86/6.46 | | | | | | | | | | | | | | | | | all_254_7 & greater(all_254_8, all_254_7) =
% 40.86/6.46 | | | | | | | | | | | | | | | | | all_254_6 & $i(all_254_7) & $i(all_254_8))
% 40.86/6.46 | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 40.86/6.46 | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | Case 1:
% 40.86/6.46 | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | (220) all_73_5 = 0
% 40.86/6.46 | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | REDUCE: (163), (220) imply:
% 40.86/6.46 | | | | | | | | | | | | | | | | | | (221) $false
% 40.86/6.46 | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | CLOSE: (221) is inconsistent.
% 40.86/6.46 | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | Case 2:
% 40.86/6.46 | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | (222) ( ~ (all_254_3 = 0) & internal_friction(all_16_8,
% 40.86/6.46 | | | | | | | | | | | | | | | | | | all_16_6) = all_254_5 &
% 40.86/6.46 | | | | | | | | | | | | | | | | | | internal_friction(all_16_8, all_16_7) =
% 40.86/6.46 | | | | | | | | | | | | | | | | | | all_254_4 & smaller_or_equal(all_254_5,
% 40.86/6.46 | | | | | | | | | | | | | | | | | | all_254_4) = all_254_3 & $i(all_254_4) &
% 40.86/6.46 | | | | | | | | | | | | | | | | | | $i(all_254_5)) | ( ~ (all_254_6 = 0) &
% 40.86/6.46 | | | | | | | | | | | | | | | | | | stock_of_knowledge(all_16_8, all_16_6) =
% 40.86/6.46 | | | | | | | | | | | | | | | | | | all_254_8 & stock_of_knowledge(all_16_8,
% 40.86/6.46 | | | | | | | | | | | | | | | | | | all_16_7) = all_254_7 & greater(all_254_8,
% 40.86/6.46 | | | | | | | | | | | | | | | | | | all_254_7) = all_254_6 & $i(all_254_7) &
% 40.86/6.46 | | | | | | | | | | | | | | | | | | $i(all_254_8))
% 40.86/6.46 | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 40.86/6.46 | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | Case 1:
% 40.86/6.46 | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | (223) ~ (all_254_3 = 0) & internal_friction(all_16_8,
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | all_16_6) = all_254_5 &
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | internal_friction(all_16_8, all_16_7) = all_254_4
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | & smaller_or_equal(all_254_5, all_254_4) =
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | all_254_3 & $i(all_254_4) & $i(all_254_5)
% 40.86/6.46 | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | ALPHA: (223) implies:
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | (224) ~ (all_254_3 = 0)
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | (225) smaller_or_equal(all_254_5, all_254_4) = all_254_3
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | (226) internal_friction(all_16_8, all_16_7) = all_254_4
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | (227) internal_friction(all_16_8, all_16_6) = all_254_5
% 40.86/6.46 | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 40.86/6.46 | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | Case 1:
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | (228) all_73_5 = 0
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | REDUCE: (163), (228) imply:
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | (229) $false
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | CLOSE: (229) is inconsistent.
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | Case 2:
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | (230) ? [v0: int] : ( ~ (v0 = 0) & smaller(all_73_6,
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | all_73_7) = v0)
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (230) with fresh symbol all_285_0
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | gives:
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | (231) ~ (all_285_0 = 0) & smaller(all_73_6, all_73_7) =
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | all_285_0
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | ALPHA: (231) implies:
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | (232) ~ (all_285_0 = 0)
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | (233) smaller(all_73_6, all_73_7) = all_285_0
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | BETA: splitting (141) gives:
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | Case 1:
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | (234) all_95_0 = 0 & capability(all_16_8, all_16_6) =
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | all_95_3 & capability(all_16_8, all_16_7) =
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | all_95_4 & smaller(all_95_4, all_95_3) = 0 &
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | $i(all_95_3) & $i(all_95_4)
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | ALPHA: (234) implies:
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | (235) smaller(all_95_4, all_95_3) = 0
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | (236) capability(all_16_8, all_16_7) = all_95_4
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | (237) capability(all_16_8, all_16_6) = all_95_3
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_73_6, all_95_4,
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | all_16_7, all_16_8, simplifying with (154), (236)
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | gives:
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | (238) all_95_4 = all_73_6
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_93_6, all_95_4,
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | all_16_7, all_16_8, simplifying with (211), (236)
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | gives:
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | (239) all_95_4 = all_93_6
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_73_7, all_95_3,
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | all_16_6, all_16_8, simplifying with (155), (237)
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | gives:
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | (240) all_95_3 = all_73_7
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (238), (239) imply:
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | (241) all_93_6 = all_73_6
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | REDUCE: (235), (238), (240) imply:
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | (242) smaller(all_73_6, all_73_7) = 0
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (18) with all_285_0, 0, all_73_7,
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | all_73_6, simplifying with (233), (242) gives:
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | (243) all_285_0 = 0
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | REDUCE: (232), (243) imply:
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | (244) $false
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | CLOSE: (244) is inconsistent.
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | Case 2:
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | (245) ~ (all_95_1 = 0) & internal_friction(all_16_8,
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | all_16_6) = all_95_6 &
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | internal_friction(all_16_8, all_16_7) = all_95_7 &
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | greater(all_95_7, all_95_6) = all_95_1 &
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | $i(all_95_6) & $i(all_95_7)
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | ALPHA: (245) implies:
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | (246) $i(all_95_7)
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | (247) internal_friction(all_16_8, all_16_7) = all_95_7
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | (248) internal_friction(all_16_8, all_16_6) = all_95_6
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (103) gives:
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | (249) all_74_0 = 0 & capability(all_16_8, all_16_6) =
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | all_74_4 & capability(all_16_8, all_16_7) =
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | all_74_5 & smaller(all_74_5, all_74_4) = 0 &
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | $i(all_74_4) & $i(all_74_5)
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (249) implies:
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | (250) smaller(all_74_5, all_74_4) = 0
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | (251) capability(all_16_8, all_16_7) = all_74_5
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | (252) capability(all_16_8, all_16_6) = all_74_4
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_73_6, all_93_6,
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | all_16_7, all_16_8, simplifying with (154), (211)
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | (253) all_93_6 = all_73_6
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_74_5, all_93_6,
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | all_16_7, all_16_8, simplifying with (211), (251)
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | (254) all_93_6 = all_74_5
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_73_7, all_93_7,
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | all_16_6, all_16_8, simplifying with (155), (212)
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | (255) all_93_7 = all_73_7
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_74_4, all_93_7,
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | all_16_6, all_16_8, simplifying with (212), (252)
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | (256) all_93_7 = all_74_4
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (253), (254) imply:
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | (257) all_74_5 = all_73_6
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | SIMP: (257) implies:
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | (258) all_74_5 = all_73_6
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (256) imply:
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | (259) all_74_4 = all_73_7
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | SIMP: (259) implies:
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | (260) all_74_4 = all_73_7
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (250), (258), (260) imply:
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | (261) smaller(all_73_6, all_73_7) = 0
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (18) with all_285_0, 0, all_73_7,
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | all_73_6, simplifying with (233), (261) gives:
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | (262) all_285_0 = 0
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (232), (262) imply:
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | (263) $false
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (263) is inconsistent.
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | (264) ( ~ (all_74_1 = 0) & internal_friction(all_16_8,
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | all_16_6) = all_74_7 &
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | internal_friction(all_16_8, all_16_7) = all_74_8
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | & greater(all_74_8, all_74_7) = all_74_1 &
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | $i(all_74_7) & $i(all_74_8)) | ( ~ (all_74_2 =
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | 0) & smaller_or_equal(all_26_1, all_26_2) =
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | all_74_2)
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | | (265) ~ (all_74_1 = 0) & internal_friction(all_16_8,
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | | all_16_6) = all_74_7 &
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | | internal_friction(all_16_8, all_16_7) = all_74_8 &
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | | greater(all_74_8, all_74_7) = all_74_1 &
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | | $i(all_74_7) & $i(all_74_8)
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (265) implies:
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | | (266) internal_friction(all_16_8, all_16_7) = all_74_8
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | | (267) internal_friction(all_16_8, all_16_6) = all_74_7
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_73_6, all_93_6,
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | | all_16_7, all_16_8, simplifying with (154), (211)
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | | (268) all_93_6 = all_73_6
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_73_7, all_93_7,
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | | all_16_6, all_16_8, simplifying with (155), (212)
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | | (269) all_93_7 = all_73_7
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_95_7, all_254_4,
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | | all_16_7, all_16_8, simplifying with (226), (247)
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | | (270) all_254_4 = all_95_7
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_74_8, all_254_4,
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | | all_16_7, all_16_8, simplifying with (226), (266)
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | | (271) all_254_4 = all_74_8
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_95_6, all_254_5,
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | | all_16_6, all_16_8, simplifying with (227), (248)
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | | (272) all_254_5 = all_95_6
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_74_7, all_254_5,
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | | all_16_6, all_16_8, simplifying with (227), (267)
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | | (273) all_254_5 = all_74_7
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.46 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (271) imply:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | (274) all_95_7 = all_74_8
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (274) implies:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | (275) all_95_7 = all_74_8
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (273) imply:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | (276) all_95_6 = all_74_7
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (210), (268), (269) imply:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | (277) greater(all_73_7, all_73_6) = all_93_5
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (225), (271), (273) imply:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | (278) smaller_or_equal(all_74_7, all_74_8) = all_254_3
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (246), (275) imply:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | (279) $i(all_74_8)
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_73_5, all_93_5,
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | all_73_6, all_73_7, simplifying with (164), (277)
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | (280) all_93_5 = all_73_5
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (96) gives:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | (281) all_53_3 = 0 & capability(all_16_8, all_16_6) =
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | all_53_5 & capability(all_16_8, all_16_7) =
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | all_53_4 & greater(all_53_5, all_53_4) = 0 &
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_53_4) & $i(all_53_5)
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (281) implies:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | (282) greater(all_53_5, all_53_4) = 0
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | (283) capability(all_16_8, all_16_7) = all_53_4
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | (284) capability(all_16_8, all_16_6) = all_53_5
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_53_4, all_93_6,
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | all_16_7, all_16_8, simplifying with (211), (283)
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | (285) all_93_6 = all_53_4
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_53_5, all_93_7,
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | all_16_6, all_16_8, simplifying with (212), (284)
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | (286) all_93_7 = all_53_5
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (285) imply:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | (287) all_73_6 = all_53_4
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (287) implies:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | (288) all_73_6 = all_53_4
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (286) imply:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | (289) all_73_7 = all_53_5
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (289) implies:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | (290) all_73_7 = all_53_5
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (210), (285), (286) imply:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | (291) greater(all_53_5, all_53_4) = all_93_5
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (288), (290) imply:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | (292) greater(all_53_5, all_53_4) = all_73_5
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_93_5, all_53_4,
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | all_53_5, simplifying with (282), (291) gives:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | (293) all_93_5 = 0
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (280), (293) imply:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | (294) all_73_5 = 0
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (294) implies:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | (295) all_73_5 = 0
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (163), (295) imply:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | (296) $false
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (296) is inconsistent.
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | (297) ~ (all_53_6 = 0) & internal_friction(all_16_8,
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | all_16_6) = all_53_8 &
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | internal_friction(all_16_8, all_16_7) = all_53_7 &
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | smaller_or_equal(all_53_8, all_53_7) = all_53_6 &
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_53_7) & $i(all_53_8)
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (297) implies:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | (298) smaller_or_equal(all_53_8, all_53_7) = all_53_6
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | (299) internal_friction(all_16_8, all_16_7) = all_53_7
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | (300) internal_friction(all_16_8, all_16_6) = all_53_8
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_74_8, all_53_7,
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | all_16_7, all_16_8, simplifying with (266), (299)
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | (301) all_74_8 = all_53_7
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_74_7, all_53_8,
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | all_16_6, all_16_8, simplifying with (267), (300)
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | (302) all_74_7 = all_53_8
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (278), (301), (302) imply:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | (303) smaller_or_equal(all_53_8, all_53_7) = all_254_3
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (279), (301) imply:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | (304) $i(all_53_7)
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_53_6, all_254_3,
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | all_53_7, all_53_8, simplifying with (298), (303)
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | (305) all_254_3 = all_53_6
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (224), (305) imply:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | (306) ~ (all_53_6 = 0)
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (assumption_9) with all_16_8,
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | all_16_7, all_16_6, all_53_8, all_53_7,
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (28), (29), (30), (299), (300)
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | (307) all_53_7 = all_53_8 | ? [v0: int] : ( ~ (v0 = 0)
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | & organization(all_16_8) = v0)
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (307) gives:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | | (308) all_53_7 = all_53_8
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (298), (308) imply:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | | (309) smaller_or_equal(all_53_8, all_53_8) = all_53_6
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (308) imply:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | | (310) $i(all_53_8)
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_53_8, all_53_6,
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (309), (310) gives:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | | (311) all_53_6 = 0
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (306), (311) imply:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | | (312) $false
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (312) is inconsistent.
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | | (313) ? [v0: int] : ( ~ (v0 = 0) &
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | | organization(all_16_8) = v0)
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (313) with fresh symbol all_315_0
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | | (314) ~ (all_315_0 = 0) & organization(all_16_8) =
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | | all_315_0
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (314) implies:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | | (315) ~ (all_315_0 = 0)
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | | (316) organization(all_16_8) = all_315_0
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with 0, all_315_0, all_16_8,
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (316) gives:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | | (317) all_315_0 = 0
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (315), (317) imply:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | | (318) $false
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (318) is inconsistent.
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | (319) ~ (all_74_2 = 0) & smaller_or_equal(all_26_1,
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | all_26_2) = all_74_2
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (319) implies:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | (320) ~ (all_74_2 = 0)
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | (321) smaller_or_equal(all_26_1, all_26_2) = all_74_2
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with 0, all_74_2, all_26_2,
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | all_26_1, simplifying with (77), (321) gives:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | (322) all_74_2 = 0
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (320), (322) imply:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | (323) $false
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (323) is inconsistent.
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | | End of split
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | | End of split
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | | End of split
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | End of split
% 40.86/6.47 | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | Case 2:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | (324) ~ (all_254_6 = 0) & stock_of_knowledge(all_16_8,
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | all_16_6) = all_254_8 &
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | stock_of_knowledge(all_16_8, all_16_7) = all_254_7
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | & greater(all_254_8, all_254_7) = all_254_6 &
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | $i(all_254_7) & $i(all_254_8)
% 40.86/6.47 | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | ALPHA: (324) implies:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | (325) ~ (all_254_6 = 0)
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | (326) greater(all_254_8, all_254_7) = all_254_6
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | (327) stock_of_knowledge(all_16_8, all_16_7) = all_254_7
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | (328) stock_of_knowledge(all_16_8, all_16_6) = all_254_8
% 40.86/6.47 | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_26_1, all_254_7,
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | all_16_7, all_16_8, simplifying with (53), (327)
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | gives:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | (329) all_254_7 = all_26_1
% 40.86/6.47 | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_26_2, all_254_8,
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | all_16_6, all_16_8, simplifying with (54), (328)
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | gives:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | (330) all_254_8 = all_26_2
% 40.86/6.47 | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | REDUCE: (326), (329), (330) imply:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | (331) greater(all_26_2, all_26_1) = all_254_6
% 40.86/6.47 | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_254_6, all_26_1,
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | all_26_2, simplifying with (52), (331) gives:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | (332) all_254_6 = 0
% 40.86/6.47 | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | REDUCE: (325), (332) imply:
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | (333) $false
% 40.86/6.47 | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | | CLOSE: (333) is inconsistent.
% 40.86/6.47 | | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | | End of split
% 40.86/6.47 | | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | | End of split
% 40.86/6.47 | | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | | End of split
% 40.86/6.47 | | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | | End of split
% 40.86/6.47 | | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | | End of split
% 40.86/6.47 | | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | | End of split
% 40.86/6.47 | | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | | End of split
% 40.86/6.47 | | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | | End of split
% 40.86/6.47 | | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | | End of split
% 40.86/6.47 | | | | | | | | | |
% 40.86/6.47 | | | | | | | | | End of split
% 40.86/6.47 | | | | | | | | |
% 40.86/6.47 | | | | | | | | End of split
% 40.86/6.47 | | | | | | | |
% 40.86/6.47 | | | | | | | End of split
% 40.86/6.47 | | | | | | |
% 40.86/6.47 | | | | | | End of split
% 40.86/6.47 | | | | | |
% 40.86/6.47 | | | | | End of split
% 40.86/6.47 | | | | |
% 40.86/6.47 | | | | End of split
% 40.86/6.47 | | | |
% 40.86/6.47 | | | Case 2:
% 40.86/6.47 | | | |
% 40.86/6.47 | | | | (334) ~ (all_52_3 = 0) & organization(all_16_8) = all_52_3
% 40.86/6.47 | | | |
% 40.86/6.47 | | | | ALPHA: (334) implies:
% 40.86/6.47 | | | | (335) ~ (all_52_3 = 0)
% 40.86/6.47 | | | | (336) organization(all_16_8) = all_52_3
% 40.86/6.47 | | | |
% 40.86/6.47 | | | | GROUND_INST: instantiating (16) with 0, all_52_3, all_16_8, simplifying
% 40.86/6.47 | | | | with (36), (336) gives:
% 40.86/6.47 | | | | (337) all_52_3 = 0
% 40.86/6.47 | | | |
% 40.86/6.47 | | | | REDUCE: (335), (337) imply:
% 40.86/6.47 | | | | (338) $false
% 40.86/6.47 | | | |
% 40.86/6.47 | | | | CLOSE: (338) is inconsistent.
% 40.86/6.47 | | | |
% 40.86/6.47 | | | End of split
% 40.86/6.47 | | |
% 40.86/6.47 | | Case 2:
% 40.86/6.47 | | |
% 40.86/6.47 | | | (339) ~ (all_27_3 = 0) & organization(all_16_8) = all_27_3
% 40.86/6.48 | | |
% 40.86/6.48 | | | ALPHA: (339) implies:
% 40.86/6.48 | | | (340) ~ (all_27_3 = 0)
% 40.86/6.48 | | | (341) organization(all_16_8) = all_27_3
% 40.86/6.48 | | |
% 40.86/6.48 | | | GROUND_INST: instantiating (16) with 0, all_27_3, all_16_8, simplifying
% 40.86/6.48 | | | with (36), (341) gives:
% 40.86/6.48 | | | (342) all_27_3 = 0
% 40.86/6.48 | | |
% 40.86/6.48 | | | REDUCE: (340), (342) imply:
% 40.86/6.48 | | | (343) $false
% 40.86/6.48 | | |
% 40.86/6.48 | | | CLOSE: (343) is inconsistent.
% 40.86/6.48 | | |
% 40.86/6.48 | | End of split
% 40.86/6.48 | |
% 40.86/6.48 | Case 2:
% 40.86/6.48 | |
% 40.86/6.48 | | (344) ~ (all_26_3 = 0) & organization(all_16_8) = all_26_3
% 40.86/6.48 | |
% 40.86/6.48 | | ALPHA: (344) implies:
% 40.86/6.48 | | (345) ~ (all_26_3 = 0)
% 40.86/6.48 | | (346) organization(all_16_8) = all_26_3
% 40.86/6.48 | |
% 40.86/6.48 | | GROUND_INST: instantiating (16) with 0, all_26_3, all_16_8, simplifying with
% 40.86/6.48 | | (36), (346) gives:
% 40.86/6.48 | | (347) all_26_3 = 0
% 40.86/6.48 | |
% 40.86/6.48 | | REDUCE: (345), (347) imply:
% 40.86/6.48 | | (348) $false
% 40.86/6.48 | |
% 40.86/6.48 | | CLOSE: (348) is inconsistent.
% 40.86/6.48 | |
% 40.86/6.48 | End of split
% 40.86/6.48 |
% 40.86/6.48 End of proof
% 40.86/6.48
% 40.86/6.48 Sub-proof #1 shows that the following formulas are inconsistent:
% 40.86/6.48 ----------------------------------------------------------------
% 40.86/6.48 (1) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 40.86/6.48 (v1 = v0 | ~ (has_endowment(v2) = v1) | ~ (has_endowment(v2) = v0))
% 40.86/6.48 (2) has_endowment(all_16_8) = all_16_5
% 40.86/6.48 (3) has_endowment(all_16_8) = 0
% 40.86/6.48 (4) ~ (all_16_5 = 0)
% 40.86/6.48
% 40.86/6.48 Begin of proof
% 40.86/6.48 |
% 40.86/6.48 | GROUND_INST: instantiating (1) with all_16_5, 0, all_16_8, simplifying with
% 40.86/6.48 | (2), (3) gives:
% 40.86/6.48 | (5) all_16_5 = 0
% 40.86/6.48 |
% 40.86/6.48 | REDUCE: (4), (5) imply:
% 40.86/6.48 | (6) $false
% 40.86/6.48 |
% 40.86/6.48 | CLOSE: (6) is inconsistent.
% 40.86/6.48 |
% 40.86/6.48 End of proof
% 40.86/6.48 % SZS output end Proof for theBenchmark
% 40.86/6.48
% 40.86/6.48 5888ms
%------------------------------------------------------------------------------