TSTP Solution File: SWV464+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SWV464+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n019.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 22:56:36 EDT 2023
% Result : Theorem 17.34s 3.27s
% Output : Proof 25.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV464+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 06:45:58 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.20/0.69 ________ _____
% 0.20/0.69 ___ __ \_________(_)________________________________
% 0.20/0.69 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.69 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.69 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.69
% 0.20/0.69 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.69 (2023-06-19)
% 0.20/0.69
% 0.20/0.69 (c) Philipp Rümmer, 2009-2023
% 0.20/0.69 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.69 Amanda Stjerna.
% 0.20/0.69 Free software under BSD-3-Clause.
% 0.20/0.69
% 0.20/0.69 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.69
% 0.20/0.69 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.20/0.72 Running up to 7 provers in parallel.
% 0.20/0.74 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.74 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.74 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.74 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.74 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.74 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.74 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 4.01/1.39 Prover 4: Preprocessing ...
% 4.01/1.40 Prover 1: Preprocessing ...
% 4.01/1.43 Prover 3: Preprocessing ...
% 4.01/1.43 Prover 2: Preprocessing ...
% 4.01/1.43 Prover 5: Preprocessing ...
% 4.01/1.43 Prover 0: Preprocessing ...
% 4.01/1.44 Prover 6: Preprocessing ...
% 10.97/2.39 Prover 1: Constructing countermodel ...
% 10.97/2.41 Prover 6: Proving ...
% 11.68/2.45 Prover 3: Constructing countermodel ...
% 12.91/2.64 Prover 5: Proving ...
% 13.23/2.68 Prover 2: Proving ...
% 13.94/2.92 Prover 4: Constructing countermodel ...
% 14.58/2.95 Prover 0: Proving ...
% 17.34/3.27 Prover 3: proved (2535ms)
% 17.34/3.27
% 17.34/3.27 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.34/3.27
% 17.34/3.27 Prover 2: stopped
% 17.34/3.28 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 17.34/3.28 Prover 6: stopped
% 18.00/3.29 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 18.00/3.29 Prover 5: stopped
% 18.05/3.29 Prover 0: stopped
% 18.05/3.30 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 18.05/3.30 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 18.05/3.30 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 18.91/3.42 Prover 7: Preprocessing ...
% 18.91/3.43 Prover 8: Preprocessing ...
% 18.91/3.45 Prover 11: Preprocessing ...
% 18.91/3.45 Prover 10: Preprocessing ...
% 18.91/3.46 Prover 13: Preprocessing ...
% 19.59/3.71 Prover 10: Warning: ignoring some quantifiers
% 21.43/3.75 Prover 10: Constructing countermodel ...
% 21.43/3.75 Prover 8: Warning: ignoring some quantifiers
% 21.43/3.76 Prover 8: Constructing countermodel ...
% 21.90/3.82 Prover 13: Warning: ignoring some quantifiers
% 21.90/3.83 Prover 13: Constructing countermodel ...
% 22.29/3.93 Prover 1: Found proof (size 432)
% 22.29/3.93 Prover 1: proved (3196ms)
% 22.29/3.93 Prover 4: stopped
% 22.29/3.93 Prover 10: stopped
% 22.29/3.93 Prover 8: stopped
% 22.29/3.93 Prover 13: stopped
% 23.41/4.08 Prover 7: Warning: ignoring some quantifiers
% 23.41/4.11 Prover 11: Constructing countermodel ...
% 23.74/4.11 Prover 7: Constructing countermodel ...
% 23.74/4.12 Prover 11: stopped
% 23.74/4.12 Prover 7: stopped
% 23.74/4.12
% 23.74/4.12 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.74/4.12
% 23.74/4.16 % SZS output start Proof for theBenchmark
% 23.96/4.17 Assumptions after simplification:
% 23.96/4.17 ---------------------------------
% 23.96/4.17
% 23.96/4.17 (axiom_01)
% 23.96/4.19 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (host(v1) = v2) | ~ (host(v0) =
% 23.96/4.19 v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ( ~ (v3 = v2) & s(v2) = v3 &
% 23.96/4.19 $i(v3)))
% 23.96/4.19
% 23.96/4.19 (axiom_04)
% 23.96/4.19 $i(nbr_proc) & ! [v0: $i] : ! [v1: $i] : ( ~ (host(v0) = v1) | ~ $i(v0) |
% 23.96/4.19 leq(v1, nbr_proc) = 0)
% 23.96/4.19
% 23.96/4.19 (axiom_09)
% 23.96/4.19 ~ (norm = elec_2) & $i(norm) & $i(elec_2)
% 23.96/4.19
% 23.96/4.19 (axiom_11)
% 23.96/4.19 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (m_Halt(v2) = v3)
% 23.96/4.19 | ~ (m_Ack(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0))
% 23.96/4.19
% 23.96/4.19 (axiom_47)
% 23.96/4.19 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0
% 23.96/4.19 | ~ (snoc(v2, v1) = v3) | ~ (elem(v0, v3) = v4) | ~ $i(v2) | ~ $i(v1) |
% 23.96/4.19 ~ $i(v0) | ( ~ (v1 = v0) & ? [v5: int] : ( ~ (v5 = 0) & elem(v0, v2) =
% 23.96/4.19 v5))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0
% 23.96/4.19 | ~ (snoc(v2, v1) = v3) | ~ (elem(v0, v3) = 0) | ~ $i(v2) | ~ $i(v1) |
% 23.96/4.19 ~ $i(v0) | elem(v0, v2) = 0)
% 23.96/4.19
% 23.96/4.19 (axiom_49)
% 23.96/4.19 ! [v0: $i] : ! [v1: $i] : ( ~ (m_Halt(v0) = v1) | ~ $i(v0) | pidMsg(v1) =
% 23.96/4.19 v0)
% 23.96/4.19
% 23.96/4.19 (axiom_50)
% 23.96/4.20 ! [v0: $i] : ! [v1: $i] : ( ~ (m_Down(v0) = v1) | ~ $i(v0) | pidMsg(v1) =
% 23.96/4.20 v0)
% 23.96/4.20
% 23.96/4.20 (axiom_61)
% 23.96/4.20 ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (leq(v0, v1) = 0) | ~ $i(v1) | ~
% 23.96/4.20 $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & leq(v1, v0) = v2)) & ! [v0: $i] : !
% 23.96/4.20 [v1: int] : (v1 = 0 | ~ (leq(v0, v0) = v1) | ~ $i(v0))
% 23.96/4.20
% 23.96/4.20 (axiom_62)
% 23.96/4.20 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (leq(v0,
% 23.96/4.20 v2) = v3) | ~ (leq(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 23.96/4.20 ? [v4: int] : ( ~ (v4 = 0) & leq(v1, v2) = v4))
% 23.96/4.20
% 23.96/4.20 (axiom_63)
% 23.96/4.20 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0
% 23.96/4.20 | ~ (leq(v2, v3) = v4) | ~ (s(v1) = v3) | ~ (s(v0) = v2) | ~ $i(v1) | ~
% 23.96/4.20 $i(v0) | ? [v5: int] : ( ~ (v5 = 0) & leq(v0, v1) = v5)) & ! [v0: $i] : !
% 23.96/4.20 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (leq(v2, v3) = 0) | ~ (s(v1) = v3)
% 23.96/4.20 | ~ (s(v0) = v2) | ~ $i(v1) | ~ $i(v0) | leq(v0, v1) = 0)
% 23.96/4.20
% 23.96/4.20 (axiom_64)
% 23.96/4.20 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (leq(v0,
% 23.96/4.20 v2) = v3) | ~ (s(v1) = v2) | ~ $i(v1) | ~ $i(v0) | ( ~ (v2 = v0) & ?
% 23.96/4.20 [v4: int] : ( ~ (v4 = 0) & leq(v0, v1) = v4))) & ! [v0: $i] : ! [v1: $i]
% 23.96/4.20 : ! [v2: $i] : (v2 = v0 | ~ (leq(v0, v2) = 0) | ~ (s(v1) = v2) | ~ $i(v1)
% 23.96/4.20 | ~ $i(v0) | leq(v0, v1) = 0)
% 23.96/4.20
% 23.96/4.20 (conj)
% 23.96/4.22 $i(down) & $i(ldr) & $i(elid) & $i(status) & $i(pendack) & $i(alive) &
% 23.96/4.22 $i(norm) & $i(elec_1) & $i(elec_2) & $i(nbr_proc) & $i(zero) & ? [v0: $i] :
% 23.96/4.22 (s(zero) = v0 & $i(v0) & ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i]
% 23.96/4.22 : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: int] : ?
% 23.96/4.22 [v10: $i] : ? [v11: $i] : ( ~ (v9 = 0) & index(elid, v5) = v2 &
% 23.96/4.22 index(status, v5) = elec_2 & index(pendack, v5) = v8 & cons(v7, v1) = v6 &
% 23.96/4.22 m_Halt(v3) = v11 & leq(nbr_proc, v8) = v9 & s(v8) = v10 & m_Ack(v2, v4) =
% 23.96/4.22 v7 & host(v4) = v8 & host(v3) = v5 & queue(v5) = v6 & setIn(v3, alive) = 0
% 23.96/4.22 & $i(v11) & $i(v10) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3)
% 23.96/4.22 & $i(v2) & $i(v1) & ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ! [v15:
% 23.96/4.22 $i] : ! [v16: $i] : ! [v17: $i] : ! [v18: int] : ! [v19: $i] : !
% 23.96/4.22 [v20: $i] : ! [v21: $i] : (v18 = 0 | ~ (index(pendack, v15) = v16) | ~
% 23.96/4.22 (m_Halt(v14) = v19) | ~ (leq(v16, v17) = v18) | ~ (host(v14) = v15) |
% 23.96/4.22 ~ (host(v13) = v20) | ~ (host(v12) = v17) | ~ (queue(v20) = v21) | ~
% 23.96/4.22 (elem(v19, v21) = 0) | ~ $i(v14) | ~ $i(v13) | ~ $i(v12) | ? [v22:
% 23.96/4.22 any] : ? [v23: $i] : ? [v24: any] : ? [v25: $i] : ? [v26: $i] :
% 23.96/4.22 (index(ldr, v17) = v25 & index(status, v17) = v26 & index(status, v15) =
% 23.96/4.22 v23 & setIn(v14, alive) = v22 & setIn(v12, alive) = v24 & $i(v26) &
% 23.96/4.22 $i(v25) & $i(v23) & ( ~ (v26 = norm) | ~ (v25 = v17) | ~ (v24 = 0) |
% 23.96/4.22 ~ (v23 = elec_2) | ~ (v22 = 0)))) & ! [v12: $i] : ! [v13: $i] :
% 23.96/4.22 ! [v14: $i] : ! [v15: $i] : ! [v16: $i] : ! [v17: $i] : ! [v18: $i] :
% 23.96/4.22 ! [v19: $i] : ! [v20: $i] : ( ~ (m_Down(v14) = v16) | ~ (m_Down(v13) =
% 23.96/4.22 v18) | ~ (host(v15) = nbr_proc) | ~ (host(v12) = v19) | ~
% 23.96/4.22 (queue(v19) = v20) | ~ (queue(nbr_proc) = v17) | ~ (elem(v18, v20) =
% 23.96/4.22 0) | ~ (elem(v16, v17) = 0) | ~ $i(v15) | ~ $i(v14) | ~ $i(v13) |
% 23.96/4.22 ~ $i(v12) | ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ? [v24: $i] :
% 23.96/4.22 ? [v25: any] : (index(down, nbr_proc) = v21 & index(status, nbr_proc) =
% 23.96/4.22 v24 & host(v14) = v22 & host(v13) = v23 & setIn(v12, alive) = v25 &
% 23.96/4.22 $i(v24) & $i(v23) & $i(v22) & $i(v21) & ( ~ (v25 = 0) | ~ (v24 =
% 23.96/4.22 elec_1) | ~ (v23 = nbr_proc) | ? [v26: $i] : ? [v27: int] : ?
% 23.96/4.22 [v28: int] : ( ~ (v28 = 0) & ~ (v27 = 0) & ~ (v26 = v22) & leq(v0,
% 23.96/4.22 v26) = 0 & leq(nbr_proc, v26) = v27 & setIn(v26, v21) = v28 &
% 23.96/4.22 $i(v26))))) & ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : !
% 23.96/4.22 [v15: $i] : ! [v16: $i] : ! [v17: $i] : ! [v18: $i] : ! [v19: $i] : (
% 23.96/4.22 ~ (m_Down(v14) = v16) | ~ (m_Ack(v15, v13) = v19) | ~ (host(v15) =
% 23.96/4.22 v17) | ~ (queue(v17) = v18) | ~ (elem(v19, v18) = 0) | ~ (elem(v16,
% 23.96/4.22 v18) = 0) | ~ (setIn(v12, alive) = 0) | ~ $i(v15) | ~ $i(v14) |
% 23.96/4.22 ~ $i(v13) | ~ $i(v12) | ? [v20: any] : ? [v21: $i] : ? [v22: $i] :
% 23.96/4.22 ? [v23: any] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i]
% 23.96/4.22 : ? [v28: $i] : ? [v29: $i] : (index(ldr, v27) = v28 & index(status,
% 23.96/4.22 v27) = v29 & index(status, v17) = v24 & index(pendack, v17) = v21 &
% 23.96/4.22 leq(nbr_proc, v22) = v23 & s(v21) = v22 & host(v14) = v26 & host(v13)
% 23.96/4.22 = v25 & host(v12) = v27 & setIn(v15, alive) = v20 & $i(v29) & $i(v28)
% 23.96/4.22 & $i(v27) & $i(v26) & $i(v25) & $i(v24) & $i(v22) & $i(v21) & ( ~ (v29
% 23.96/4.22 = norm) | ~ (v28 = v27) | ~ (v26 = v22) | ~ (v25 = v21) | ~
% 23.96/4.22 (v24 = elec_2) | ~ (v23 = 0) | ~ (v20 = 0)))) & ! [v12: $i] : !
% 23.96/4.22 [v13: $i] : ! [v14: $i] : ! [v15: $i] : ! [v16: $i] : ! [v17: int] :
% 23.96/4.22 (v17 = 0 | ~ (index(pendack, v15) = v16) | ~ (leq(v16, v14) = v17) | ~
% 23.96/4.22 (host(v13) = v15) | ~ (host(v12) = v14) | ~ $i(v13) | ~ $i(v12) | ?
% 23.96/4.22 [v18: any] : ? [v19: any] : ? [v20: any] : ? [v21: $i] : ? [v22: $i]
% 23.96/4.22 : (index(status, v15) = v22 & index(status, v14) = v21 & leq(v14, v15) =
% 23.96/4.22 v18 & setIn(v13, alive) = v20 & setIn(v12, alive) = v19 & $i(v22) &
% 23.96/4.22 $i(v21) & ( ~ (v22 = elec_2) | ~ (v21 = elec_2) | ~ (v20 = 0) | ~
% 23.96/4.22 (v19 = 0) | v18 = 0))) & ! [v12: $i] : ! [v13: $i] : ! [v14: $i]
% 23.96/4.22 : ! [v15: $i] : ! [v16: $i] : ! [v17: int] : (v17 = 0 | ~
% 23.96/4.22 (index(pendack, v14) = v16) | ~ (leq(v15, v16) = v17) | ~ (host(v13) =
% 23.96/4.22 v14) | ~ (host(v12) = v15) | ~ $i(v13) | ~ $i(v12) | ? [v18: any]
% 23.96/4.22 : ? [v19: $i] : ? [v20: $i] : ? [v21: any] : (m_Ack(v13, v12) = v19 &
% 23.96/4.22 queue(v14) = v20 & elem(v19, v20) = v21 & setIn(v13, alive) = v18 &
% 23.96/4.22 $i(v20) & $i(v19) & ( ~ (v21 = 0) | ~ (v18 = 0)))) & ! [v12: $i] :
% 23.96/4.22 ! [v13: $i] : ! [v14: $i] : ! [v15: $i] : ! [v16: $i] : ! [v17: $i] :
% 23.96/4.22 ( ~ (index(pendack, v15) = v17) | ~ (index(pendack, v14) = v16) | ~
% 23.96/4.22 (leq(v16, v17) = 0) | ~ (host(v13) = v15) | ~ (host(v12) = v14) | ~
% 23.96/4.22 $i(v13) | ~ $i(v12) | ? [v18: any] : ? [v19: any] : ? [v20: any] :
% 23.96/4.22 ? [v21: $i] : ? [v22: $i] : (index(status, v15) = v22 & index(status,
% 23.96/4.22 v14) = v21 & leq(v14, v15) = v18 & setIn(v13, alive) = v20 &
% 23.96/4.22 setIn(v12, alive) = v19 & $i(v22) & $i(v21) & ( ~ (v22 = elec_2) | ~
% 23.96/4.22 (v21 = elec_2) | ~ (v20 = 0) | ~ (v19 = 0) | v18 = 0))) & ! [v12:
% 23.96/4.22 $i] : ! [v13: $i] : ! [v14: $i] : ! [v15: $i] : ! [v16: $i] : !
% 23.96/4.22 [v17: $i] : ( ~ (m_Down(v13) = v15) | ~ (host(v14) = v16) | ~
% 23.96/4.22 (queue(v16) = v17) | ~ (elem(v15, v17) = 0) | ~ (setIn(v12, alive) =
% 23.96/4.22 0) | ~ $i(v14) | ~ $i(v13) | ~ $i(v12) | ? [v18: any] : ? [v19:
% 23.96/4.22 $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : (index(ldr, v20) =
% 23.96/4.22 v21 & index(status, v20) = v22 & host(v13) = v19 & host(v12) = v20 &
% 23.96/4.22 setIn(v14, alive) = v18 & $i(v22) & $i(v21) & $i(v20) & $i(v19) & ( ~
% 23.96/4.22 (v22 = norm) | ~ (v21 = v19) | ~ (v20 = v19) | ~ (v18 = 0)))) &
% 23.96/4.22 ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ! [v15: $i] : ! [v16: $i] :
% 23.96/4.22 ! [v17: $i] : ( ~ (m_Ack(v14, v12) = v15) | ~ (host(v13) = v16) | ~
% 23.96/4.22 (queue(v16) = v17) | ~ (elem(v15, v17) = 0) | ~ $i(v14) | ~ $i(v13) |
% 23.96/4.22 ~ $i(v12) | ? [v18: $i] : ? [v19: $i] : ? [v20: int] : ( ~ (v20 = 0)
% 23.96/4.22 & leq(v18, v19) = v20 & host(v14) = v19 & host(v12) = v18 & $i(v19) &
% 23.96/4.22 $i(v18))) & ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ! [v15: $i]
% 23.96/4.22 : ! [v16: $i] : ! [v17: $i] : ( ~ (m_Ack(v12, v13) = v16) | ~
% 23.96/4.22 (host(v12) = v15) | ~ (queue(v15) = v17) | ~ (elem(v16, v17) = 0) | ~
% 23.96/4.22 (setIn(v14, alive) = 0) | ~ $i(v14) | ~ $i(v13) | ~ $i(v12) | ?
% 23.96/4.22 [v18: any] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] :
% 23.96/4.22 (index(status, v19) = v22 & index(status, v15) = v21 & host(v14) = v19 &
% 23.96/4.22 host(v13) = v20 & setIn(v12, alive) = v18 & $i(v22) & $i(v21) &
% 23.96/4.22 $i(v20) & $i(v19) & ( ~ (v22 = elec_2) | ~ (v21 = elec_2) | ~ (v20 =
% 23.96/4.22 v19) | ~ (v18 = 0)))) & ! [v12: $i] : ! [v13: $i] : ! [v14:
% 23.96/4.22 $i] : ! [v15: $i] : ! [v16: $i] : ( ~ (m_Ldr(v13) = v14) | ~
% 23.96/4.22 (host(v12) = v15) | ~ (queue(v15) = v16) | ~ (elem(v14, v16) = 0) | ~
% 23.96/4.22 $i(v13) | ~ $i(v12) | ? [v17: $i] : ? [v18: int] : ( ~ (v18 = 0) &
% 23.96/4.22 leq(v15, v17) = v18 & host(v13) = v17 & $i(v17))) & ! [v12: $i] : !
% 23.96/4.22 [v13: $i] : ! [v14: $i] : ! [v15: $i] : ! [v16: $i] : ( ~ (m_Down(v13)
% 23.96/4.22 = v14) | ~ (host(v12) = v15) | ~ (queue(v15) = v16) | ~ (elem(v14,
% 23.96/4.22 v16) = 0) | ~ $i(v13) | ~ $i(v12) | ? [v17: $i] : ( ~ (v17 = v15)
% 23.96/4.22 & host(v13) = v17 & $i(v17))) & ! [v12: $i] : ! [v13: $i] : ! [v14:
% 23.96/4.22 $i] : ! [v15: $i] : ! [v16: $i] : ( ~ (m_Halt(v13) = v14) | ~
% 23.96/4.22 (host(v12) = v15) | ~ (queue(v15) = v16) | ~ (elem(v14, v16) = 0) | ~
% 23.96/4.22 $i(v13) | ~ $i(v12) | ? [v17: $i] : ? [v18: int] : ( ~ (v18 = 0) &
% 23.96/4.22 leq(v15, v17) = v18 & host(v13) = v17 & $i(v17))) & ! [v12: $i] : !
% 23.96/4.22 [v13: $i] : ! [v14: $i] : ! [v15: $i] : ! [v16: $i] : ( ~ (m_Ack(v13,
% 23.96/4.22 v12) = v15) | ~ (host(v13) = v14) | ~ (queue(v14) = v16) | ~
% 23.96/4.22 (elem(v15, v16) = 0) | ~ $i(v13) | ~ $i(v12) | ? [v17: any] : ?
% 23.96/4.22 [v18: $i] : (index(status, v14) = v18 & setIn(v13, alive) = v17 &
% 23.96/4.22 $i(v18) & ( ~ (v18 = elec_1) | ~ (v17 = 0)))) & ! [v12: $i] : !
% 23.96/4.22 [v13: $i] : (v13 = v12 | ~ (setIn(v13, alive) = 0) | ~ (setIn(v12,
% 23.96/4.22 alive) = 0) | ~ $i(v13) | ~ $i(v12) | ? [v14: $i] : ? [v15: $i]
% 23.96/4.22 : ( ~ (v15 = v14) & host(v13) = v14 & host(v12) = v15 & $i(v15) &
% 23.96/4.22 $i(v14))) & ! [v12: $i] : ( ~ (setIn(v12, alive) = 0) | ~ $i(v12) |
% 23.96/4.22 ? [v13: $i] : ? [v14: $i] : ? [v15: $i] : (index(elid, v13) = v15 &
% 23.96/4.22 index(status, v13) = v14 & host(v12) = v13 & $i(v15) & $i(v14) &
% 23.96/4.22 $i(v13) & (v15 = v12 | ( ~ (v14 = elec_1) & ~ (v14 = elec_2))))) & ?
% 23.96/4.22 [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ?
% 23.96/4.22 [v17: $i] : ? [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ?
% 23.96/4.22 [v22: $i] : ( ~ (v10 = v5) & index(ldr, v22) = v22 & index(status, v22) =
% 23.96/4.22 norm & index(status, v10) = elec_2 & index(pendack, v10) = v16 &
% 23.96/4.22 snoc(v19, v11) = v20 & m_Down(v14) = v18 & leq(nbr_proc, v17) = 0 &
% 23.96/4.22 s(v16) = v17 & m_Ack(v15, v13) = v21 & host(v15) = v10 & host(v14) = v17
% 23.96/4.22 & host(v13) = v16 & host(v12) = v22 & queue(v10) = v19 & elem(v21, v20)
% 23.96/4.22 = 0 & elem(v18, v20) = 0 & setIn(v15, alive) = 0 & setIn(v12, alive) = 0
% 23.96/4.22 & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) &
% 23.96/4.22 $i(v15) & $i(v14) & $i(v13) & $i(v12))))
% 23.96/4.22
% 23.96/4.22 (function-axioms)
% 23.96/4.23 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 23.96/4.23 (index(v3, v2) = v1) | ~ (index(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 23.96/4.23 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (snoc(v3, v2) = v1) | ~ (snoc(v3,
% 23.96/4.23 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1
% 23.96/4.23 = v0 | ~ (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0)) & ! [v0:
% 23.96/4.23 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 23.96/4.23 : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0)) & ! [v0: $i] : !
% 23.96/4.23 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (m_Ack(v3, v2) = v1) | ~
% 23.96/4.23 (m_Ack(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 23.96/4.23 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (elem(v3, v2)
% 23.96/4.23 = v1) | ~ (elem(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 23.96/4.23 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (setIn(v3,
% 23.96/4.23 v2) = v1) | ~ (setIn(v3, v2) = v0)) & ! [v0: MultipleValueBool] : !
% 23.96/4.23 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (ordered(v2) = v1) | ~
% 23.96/4.23 (ordered(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 |
% 23.96/4.23 ~ (pidMsg(v2) = v1) | ~ (pidMsg(v2) = v0)) & ! [v0: MultipleValueBool] :
% 23.96/4.23 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (pidElem(v2) = v1) |
% 23.96/4.23 ~ (pidElem(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 |
% 23.96/4.23 ~ (init(v2) = v1) | ~ (init(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 23.96/4.23 [v2: $i] : (v1 = v0 | ~ (last(v2) = v1) | ~ (last(v2) = v0)) & ! [v0: $i] :
% 23.96/4.23 ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (tail(v2) = v1) | ~ (tail(v2) =
% 23.96/4.23 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (head(v2) =
% 23.96/4.23 v1) | ~ (head(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1
% 23.96/4.23 = v0 | ~ (m_NormQ(v2) = v1) | ~ (m_NormQ(v2) = v0)) & ! [v0: $i] : !
% 23.96/4.23 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (m_Ldr(v2) = v1) | ~ (m_Ldr(v2) = v0))
% 23.96/4.23 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (m_NotNorm(v2) = v1)
% 23.96/4.23 | ~ (m_NotNorm(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 23.96/4.23 v0 | ~ (m_Down(v2) = v1) | ~ (m_Down(v2) = v0)) & ! [v0: $i] : ! [v1:
% 23.96/4.23 $i] : ! [v2: $i] : (v1 = v0 | ~ (m_Halt(v2) = v1) | ~ (m_Halt(v2) = v0))
% 23.96/4.23 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (s(v2) = v1) | ~
% 23.96/4.23 (s(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 23.96/4.23 (host(v2) = v1) | ~ (host(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 23.96/4.23 $i] : (v1 = v0 | ~ (queue(v2) = v1) | ~ (queue(v2) = v0))
% 23.96/4.23
% 23.96/4.23 Further assumptions not needed in the proof:
% 23.96/4.23 --------------------------------------------
% 23.96/4.23 axiom, axiom_02, axiom_03, axiom_05, axiom_06, axiom_07, axiom_08, axiom_10,
% 23.96/4.23 axiom_12, axiom_13, axiom_14, axiom_15, axiom_16, axiom_17, axiom_18, axiom_19,
% 23.96/4.23 axiom_20, axiom_21, axiom_22, axiom_23, axiom_24, axiom_25, axiom_26, axiom_27,
% 23.96/4.23 axiom_28, axiom_29, axiom_30, axiom_31, axiom_32, axiom_33, axiom_34, axiom_35,
% 23.96/4.23 axiom_36, axiom_37, axiom_38, axiom_39, axiom_40, axiom_41, axiom_42, axiom_43,
% 23.96/4.23 axiom_44, axiom_45, axiom_46, axiom_48, axiom_51, axiom_52, axiom_53, axiom_54,
% 23.96/4.23 axiom_55, axiom_56, axiom_57, axiom_58, axiom_59, axiom_60, axiom_65
% 23.96/4.23
% 23.96/4.23 Those formulas are unsatisfiable:
% 23.96/4.23 ---------------------------------
% 23.96/4.23
% 23.96/4.23 Begin of proof
% 23.96/4.23 |
% 23.96/4.23 | ALPHA: (axiom_04) implies:
% 23.96/4.23 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ (host(v0) = v1) | ~ $i(v0) | leq(v1,
% 23.96/4.23 | nbr_proc) = 0)
% 23.96/4.23 |
% 23.96/4.23 | ALPHA: (axiom_09) implies:
% 23.96/4.23 | (2) ~ (norm = elec_2)
% 23.96/4.23 |
% 23.96/4.23 | ALPHA: (axiom_47) implies:
% 23.96/4.23 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 23.96/4.23 | (snoc(v2, v1) = v3) | ~ (elem(v0, v3) = 0) | ~ $i(v2) | ~ $i(v1) |
% 23.96/4.23 | ~ $i(v0) | elem(v0, v2) = 0)
% 23.96/4.23 |
% 23.96/4.23 | ALPHA: (axiom_61) implies:
% 23.96/4.23 | (4) ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (leq(v0, v1) = 0) | ~ $i(v1)
% 23.96/4.23 | | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & leq(v1, v0) = v2))
% 23.96/4.23 |
% 23.96/4.23 | ALPHA: (axiom_63) implies:
% 23.96/4.23 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (leq(v2,
% 23.96/4.23 | v3) = 0) | ~ (s(v1) = v3) | ~ (s(v0) = v2) | ~ $i(v1) | ~
% 23.96/4.23 | $i(v0) | leq(v0, v1) = 0)
% 23.96/4.23 |
% 23.96/4.23 | ALPHA: (axiom_64) implies:
% 23.96/4.23 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v0 | ~ (leq(v0, v2) =
% 23.96/4.23 | 0) | ~ (s(v1) = v2) | ~ $i(v1) | ~ $i(v0) | leq(v0, v1) = 0)
% 23.96/4.23 |
% 23.96/4.23 | ALPHA: (conj) implies:
% 23.96/4.23 | (7) $i(nbr_proc)
% 23.96/4.26 | (8) ? [v0: $i] : (s(zero) = v0 & $i(v0) & ? [v1: $i] : ? [v2: $i] : ?
% 23.96/4.26 | [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ?
% 23.96/4.26 | [v8: $i] : ? [v9: int] : ? [v10: $i] : ? [v11: $i] : ( ~ (v9 = 0)
% 23.96/4.26 | & index(elid, v5) = v2 & index(status, v5) = elec_2 &
% 23.96/4.26 | index(pendack, v5) = v8 & cons(v7, v1) = v6 & m_Halt(v3) = v11 &
% 23.96/4.26 | leq(nbr_proc, v8) = v9 & s(v8) = v10 & m_Ack(v2, v4) = v7 &
% 23.96/4.26 | host(v4) = v8 & host(v3) = v5 & queue(v5) = v6 & setIn(v3, alive) =
% 23.96/4.26 | 0 & $i(v11) & $i(v10) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4)
% 23.96/4.26 | & $i(v3) & $i(v2) & $i(v1) & ! [v12: $i] : ! [v13: $i] : ! [v14:
% 23.96/4.26 | $i] : ! [v15: $i] : ! [v16: $i] : ! [v17: $i] : ! [v18: int]
% 23.96/4.26 | : ! [v19: $i] : ! [v20: $i] : ! [v21: $i] : (v18 = 0 | ~
% 23.96/4.26 | (index(pendack, v15) = v16) | ~ (m_Halt(v14) = v19) | ~
% 23.96/4.26 | (leq(v16, v17) = v18) | ~ (host(v14) = v15) | ~ (host(v13) =
% 23.96/4.26 | v20) | ~ (host(v12) = v17) | ~ (queue(v20) = v21) | ~
% 23.96/4.26 | (elem(v19, v21) = 0) | ~ $i(v14) | ~ $i(v13) | ~ $i(v12) | ?
% 23.96/4.26 | [v22: any] : ? [v23: $i] : ? [v24: any] : ? [v25: $i] : ?
% 23.96/4.26 | [v26: $i] : (index(ldr, v17) = v25 & index(status, v17) = v26 &
% 23.96/4.26 | index(status, v15) = v23 & setIn(v14, alive) = v22 & setIn(v12,
% 23.96/4.26 | alive) = v24 & $i(v26) & $i(v25) & $i(v23) & ( ~ (v26 = norm)
% 23.96/4.26 | | ~ (v25 = v17) | ~ (v24 = 0) | ~ (v23 = elec_2) | ~ (v22
% 23.96/4.26 | = 0)))) & ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : !
% 23.96/4.26 | [v15: $i] : ! [v16: $i] : ! [v17: $i] : ! [v18: $i] : ! [v19:
% 23.96/4.26 | $i] : ! [v20: $i] : ( ~ (m_Down(v14) = v16) | ~ (m_Down(v13) =
% 23.96/4.26 | v18) | ~ (host(v15) = nbr_proc) | ~ (host(v12) = v19) | ~
% 23.96/4.26 | (queue(v19) = v20) | ~ (queue(nbr_proc) = v17) | ~ (elem(v18,
% 23.96/4.26 | v20) = 0) | ~ (elem(v16, v17) = 0) | ~ $i(v15) | ~ $i(v14)
% 23.96/4.26 | | ~ $i(v13) | ~ $i(v12) | ? [v21: $i] : ? [v22: $i] : ?
% 23.96/4.26 | [v23: $i] : ? [v24: $i] : ? [v25: any] : (index(down, nbr_proc)
% 23.96/4.26 | = v21 & index(status, nbr_proc) = v24 & host(v14) = v22 &
% 23.96/4.26 | host(v13) = v23 & setIn(v12, alive) = v25 & $i(v24) & $i(v23) &
% 23.96/4.26 | $i(v22) & $i(v21) & ( ~ (v25 = 0) | ~ (v24 = elec_1) | ~ (v23
% 23.96/4.26 | = nbr_proc) | ? [v26: $i] : ? [v27: int] : ? [v28: int]
% 23.96/4.26 | : ( ~ (v28 = 0) & ~ (v27 = 0) & ~ (v26 = v22) & leq(v0,
% 23.96/4.26 | v26) = 0 & leq(nbr_proc, v26) = v27 & setIn(v26, v21) =
% 23.96/4.26 | v28 & $i(v26))))) & ! [v12: $i] : ! [v13: $i] : ! [v14:
% 23.96/4.26 | $i] : ! [v15: $i] : ! [v16: $i] : ! [v17: $i] : ! [v18: $i] :
% 23.96/4.26 | ! [v19: $i] : ( ~ (m_Down(v14) = v16) | ~ (m_Ack(v15, v13) = v19)
% 23.96/4.26 | | ~ (host(v15) = v17) | ~ (queue(v17) = v18) | ~ (elem(v19,
% 23.96/4.26 | v18) = 0) | ~ (elem(v16, v18) = 0) | ~ (setIn(v12, alive) =
% 23.96/4.26 | 0) | ~ $i(v15) | ~ $i(v14) | ~ $i(v13) | ~ $i(v12) | ?
% 23.96/4.26 | [v20: any] : ? [v21: $i] : ? [v22: $i] : ? [v23: any] : ?
% 23.96/4.26 | [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 23.96/4.26 | $i] : ? [v29: $i] : (index(ldr, v27) = v28 & index(status,
% 23.96/4.26 | v27) = v29 & index(status, v17) = v24 & index(pendack, v17) =
% 23.96/4.26 | v21 & leq(nbr_proc, v22) = v23 & s(v21) = v22 & host(v14) = v26
% 23.96/4.26 | & host(v13) = v25 & host(v12) = v27 & setIn(v15, alive) = v20 &
% 23.96/4.26 | $i(v29) & $i(v28) & $i(v27) & $i(v26) & $i(v25) & $i(v24) &
% 23.96/4.26 | $i(v22) & $i(v21) & ( ~ (v29 = norm) | ~ (v28 = v27) | ~ (v26
% 23.96/4.26 | = v22) | ~ (v25 = v21) | ~ (v24 = elec_2) | ~ (v23 = 0)
% 23.96/4.26 | | ~ (v20 = 0)))) & ! [v12: $i] : ! [v13: $i] : ! [v14:
% 23.96/4.26 | $i] : ! [v15: $i] : ! [v16: $i] : ! [v17: int] : (v17 = 0 | ~
% 23.96/4.26 | (index(pendack, v15) = v16) | ~ (leq(v16, v14) = v17) | ~
% 23.96/4.26 | (host(v13) = v15) | ~ (host(v12) = v14) | ~ $i(v13) | ~
% 23.96/4.26 | $i(v12) | ? [v18: any] : ? [v19: any] : ? [v20: any] : ?
% 23.96/4.26 | [v21: $i] : ? [v22: $i] : (index(status, v15) = v22 &
% 23.96/4.26 | index(status, v14) = v21 & leq(v14, v15) = v18 & setIn(v13,
% 23.96/4.26 | alive) = v20 & setIn(v12, alive) = v19 & $i(v22) & $i(v21) &
% 23.96/4.26 | ( ~ (v22 = elec_2) | ~ (v21 = elec_2) | ~ (v20 = 0) | ~ (v19
% 23.96/4.26 | = 0) | v18 = 0))) & ! [v12: $i] : ! [v13: $i] : ! [v14:
% 23.96/4.26 | $i] : ! [v15: $i] : ! [v16: $i] : ! [v17: int] : (v17 = 0 | ~
% 23.96/4.26 | (index(pendack, v14) = v16) | ~ (leq(v15, v16) = v17) | ~
% 23.96/4.26 | (host(v13) = v14) | ~ (host(v12) = v15) | ~ $i(v13) | ~
% 23.96/4.26 | $i(v12) | ? [v18: any] : ? [v19: $i] : ? [v20: $i] : ? [v21:
% 23.96/4.26 | any] : (m_Ack(v13, v12) = v19 & queue(v14) = v20 & elem(v19,
% 23.96/4.26 | v20) = v21 & setIn(v13, alive) = v18 & $i(v20) & $i(v19) & (
% 23.96/4.26 | ~ (v21 = 0) | ~ (v18 = 0)))) & ! [v12: $i] : ! [v13: $i] :
% 23.96/4.26 | ! [v14: $i] : ! [v15: $i] : ! [v16: $i] : ! [v17: $i] : ( ~
% 23.96/4.26 | (index(pendack, v15) = v17) | ~ (index(pendack, v14) = v16) | ~
% 23.96/4.26 | (leq(v16, v17) = 0) | ~ (host(v13) = v15) | ~ (host(v12) = v14)
% 23.96/4.26 | | ~ $i(v13) | ~ $i(v12) | ? [v18: any] : ? [v19: any] : ?
% 23.96/4.26 | [v20: any] : ? [v21: $i] : ? [v22: $i] : (index(status, v15) =
% 23.96/4.26 | v22 & index(status, v14) = v21 & leq(v14, v15) = v18 &
% 23.96/4.26 | setIn(v13, alive) = v20 & setIn(v12, alive) = v19 & $i(v22) &
% 23.96/4.26 | $i(v21) & ( ~ (v22 = elec_2) | ~ (v21 = elec_2) | ~ (v20 = 0)
% 23.96/4.26 | | ~ (v19 = 0) | v18 = 0))) & ! [v12: $i] : ! [v13: $i] :
% 23.96/4.26 | ! [v14: $i] : ! [v15: $i] : ! [v16: $i] : ! [v17: $i] : ( ~
% 23.96/4.26 | (m_Down(v13) = v15) | ~ (host(v14) = v16) | ~ (queue(v16) =
% 23.96/4.26 | v17) | ~ (elem(v15, v17) = 0) | ~ (setIn(v12, alive) = 0) |
% 23.96/4.26 | ~ $i(v14) | ~ $i(v13) | ~ $i(v12) | ? [v18: any] : ? [v19:
% 23.96/4.26 | $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : (index(ldr,
% 23.96/4.26 | v20) = v21 & index(status, v20) = v22 & host(v13) = v19 &
% 23.96/4.26 | host(v12) = v20 & setIn(v14, alive) = v18 & $i(v22) & $i(v21) &
% 23.96/4.26 | $i(v20) & $i(v19) & ( ~ (v22 = norm) | ~ (v21 = v19) | ~ (v20
% 23.96/4.26 | = v19) | ~ (v18 = 0)))) & ! [v12: $i] : ! [v13: $i] : !
% 23.96/4.26 | [v14: $i] : ! [v15: $i] : ! [v16: $i] : ! [v17: $i] : ( ~
% 23.96/4.26 | (m_Ack(v14, v12) = v15) | ~ (host(v13) = v16) | ~ (queue(v16) =
% 23.96/4.26 | v17) | ~ (elem(v15, v17) = 0) | ~ $i(v14) | ~ $i(v13) | ~
% 23.96/4.26 | $i(v12) | ? [v18: $i] : ? [v19: $i] : ? [v20: int] : ( ~ (v20
% 23.96/4.26 | = 0) & leq(v18, v19) = v20 & host(v14) = v19 & host(v12) =
% 23.96/4.26 | v18 & $i(v19) & $i(v18))) & ! [v12: $i] : ! [v13: $i] : !
% 23.96/4.26 | [v14: $i] : ! [v15: $i] : ! [v16: $i] : ! [v17: $i] : ( ~
% 23.96/4.26 | (m_Ack(v12, v13) = v16) | ~ (host(v12) = v15) | ~ (queue(v15) =
% 23.96/4.26 | v17) | ~ (elem(v16, v17) = 0) | ~ (setIn(v14, alive) = 0) |
% 23.96/4.26 | ~ $i(v14) | ~ $i(v13) | ~ $i(v12) | ? [v18: any] : ? [v19:
% 23.96/4.26 | $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] :
% 23.96/4.26 | (index(status, v19) = v22 & index(status, v15) = v21 & host(v14)
% 23.96/4.26 | = v19 & host(v13) = v20 & setIn(v12, alive) = v18 & $i(v22) &
% 23.96/4.26 | $i(v21) & $i(v20) & $i(v19) & ( ~ (v22 = elec_2) | ~ (v21 =
% 23.96/4.26 | elec_2) | ~ (v20 = v19) | ~ (v18 = 0)))) & ! [v12: $i] :
% 23.96/4.26 | ! [v13: $i] : ! [v14: $i] : ! [v15: $i] : ! [v16: $i] : ( ~
% 23.96/4.26 | (m_Ldr(v13) = v14) | ~ (host(v12) = v15) | ~ (queue(v15) = v16)
% 23.96/4.26 | | ~ (elem(v14, v16) = 0) | ~ $i(v13) | ~ $i(v12) | ? [v17:
% 23.96/4.26 | $i] : ? [v18: int] : ( ~ (v18 = 0) & leq(v15, v17) = v18 &
% 23.96/4.26 | host(v13) = v17 & $i(v17))) & ! [v12: $i] : ! [v13: $i] : !
% 23.96/4.26 | [v14: $i] : ! [v15: $i] : ! [v16: $i] : ( ~ (m_Down(v13) = v14) |
% 23.96/4.26 | ~ (host(v12) = v15) | ~ (queue(v15) = v16) | ~ (elem(v14, v16)
% 23.96/4.26 | = 0) | ~ $i(v13) | ~ $i(v12) | ? [v17: $i] : ( ~ (v17 = v15)
% 23.96/4.26 | & host(v13) = v17 & $i(v17))) & ! [v12: $i] : ! [v13: $i] :
% 23.96/4.26 | ! [v14: $i] : ! [v15: $i] : ! [v16: $i] : ( ~ (m_Halt(v13) = v14)
% 23.96/4.26 | | ~ (host(v12) = v15) | ~ (queue(v15) = v16) | ~ (elem(v14,
% 23.96/4.26 | v16) = 0) | ~ $i(v13) | ~ $i(v12) | ? [v17: $i] : ? [v18:
% 23.96/4.26 | int] : ( ~ (v18 = 0) & leq(v15, v17) = v18 & host(v13) = v17 &
% 23.96/4.26 | $i(v17))) & ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : !
% 23.96/4.26 | [v15: $i] : ! [v16: $i] : ( ~ (m_Ack(v13, v12) = v15) | ~
% 23.96/4.26 | (host(v13) = v14) | ~ (queue(v14) = v16) | ~ (elem(v15, v16) =
% 23.96/4.26 | 0) | ~ $i(v13) | ~ $i(v12) | ? [v17: any] : ? [v18: $i] :
% 23.96/4.26 | (index(status, v14) = v18 & setIn(v13, alive) = v17 & $i(v18) & (
% 23.96/4.26 | ~ (v18 = elec_1) | ~ (v17 = 0)))) & ! [v12: $i] : ! [v13:
% 23.96/4.26 | $i] : (v13 = v12 | ~ (setIn(v13, alive) = 0) | ~ (setIn(v12,
% 23.96/4.26 | alive) = 0) | ~ $i(v13) | ~ $i(v12) | ? [v14: $i] : ?
% 23.96/4.26 | [v15: $i] : ( ~ (v15 = v14) & host(v13) = v14 & host(v12) = v15 &
% 23.96/4.26 | $i(v15) & $i(v14))) & ! [v12: $i] : ( ~ (setIn(v12, alive) =
% 23.96/4.26 | 0) | ~ $i(v12) | ? [v13: $i] : ? [v14: $i] : ? [v15: $i] :
% 23.96/4.26 | (index(elid, v13) = v15 & index(status, v13) = v14 & host(v12) =
% 23.96/4.26 | v13 & $i(v15) & $i(v14) & $i(v13) & (v15 = v12 | ( ~ (v14 =
% 23.96/4.26 | elec_1) & ~ (v14 = elec_2))))) & ? [v12: $i] : ? [v13:
% 23.96/4.26 | $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] :
% 23.96/4.26 | ? [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ?
% 23.96/4.26 | [v22: $i] : ( ~ (v10 = v5) & index(ldr, v22) = v22 & index(status,
% 23.96/4.26 | v22) = norm & index(status, v10) = elec_2 & index(pendack, v10)
% 23.96/4.26 | = v16 & snoc(v19, v11) = v20 & m_Down(v14) = v18 & leq(nbr_proc,
% 23.96/4.26 | v17) = 0 & s(v16) = v17 & m_Ack(v15, v13) = v21 & host(v15) =
% 23.96/4.26 | v10 & host(v14) = v17 & host(v13) = v16 & host(v12) = v22 &
% 23.96/4.26 | queue(v10) = v19 & elem(v21, v20) = 0 & elem(v18, v20) = 0 &
% 23.96/4.26 | setIn(v15, alive) = 0 & setIn(v12, alive) = 0 & $i(v22) & $i(v21)
% 23.96/4.26 | & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) &
% 23.96/4.26 | $i(v14) & $i(v13) & $i(v12))))
% 23.96/4.26 |
% 23.96/4.26 | ALPHA: (function-axioms) implies:
% 23.96/4.26 | (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (queue(v2) =
% 23.96/4.26 | v1) | ~ (queue(v2) = v0))
% 23.96/4.26 | (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (host(v2) =
% 23.96/4.26 | v1) | ~ (host(v2) = v0))
% 23.96/4.26 | (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (s(v2) = v1) |
% 23.96/4.26 | ~ (s(v2) = v0))
% 23.96/4.26 | (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pidMsg(v2) =
% 23.96/4.26 | v1) | ~ (pidMsg(v2) = v0))
% 23.96/4.27 | (13) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 23.96/4.27 | : ! [v3: $i] : (v1 = v0 | ~ (setIn(v3, v2) = v1) | ~ (setIn(v3, v2)
% 23.96/4.27 | = v0))
% 23.96/4.27 | (14) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 23.96/4.27 | : ! [v3: $i] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) =
% 23.96/4.27 | v0))
% 23.96/4.27 | (15) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 23.96/4.27 | (index(v3, v2) = v1) | ~ (index(v3, v2) = v0))
% 23.96/4.27 |
% 23.96/4.27 | DELTA: instantiating (8) with fresh symbol all_66_0 gives:
% 23.96/4.28 | (16) s(zero) = all_66_0 & $i(all_66_0) & ? [v0: $i] : ? [v1: $i] : ?
% 23.96/4.28 | [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ?
% 23.96/4.28 | [v7: $i] : ? [v8: int] : ? [v9: $i] : ? [v10: $i] : ( ~ (v8 = 0) &
% 23.96/4.28 | index(elid, v4) = v1 & index(status, v4) = elec_2 & index(pendack,
% 23.96/4.28 | v4) = v7 & cons(v6, v0) = v5 & m_Halt(v2) = v10 & leq(nbr_proc,
% 23.96/4.28 | v7) = v8 & s(v7) = v9 & m_Ack(v1, v3) = v6 & host(v3) = v7 &
% 23.96/4.28 | host(v2) = v4 & queue(v4) = v5 & setIn(v2, alive) = 0 & $i(v10) &
% 23.96/4.28 | $i(v9) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 23.96/4.28 | $i(v1) & $i(v0) & ! [v11: $i] : ! [v12: $i] : ! [v13: $i] : !
% 23.96/4.28 | [v14: $i] : ! [v15: $i] : ! [v16: $i] : ! [v17: int] : ! [v18:
% 23.96/4.28 | $i] : ! [v19: $i] : ! [v20: $i] : (v17 = 0 | ~ (index(pendack,
% 23.96/4.28 | v14) = v15) | ~ (m_Halt(v13) = v18) | ~ (leq(v15, v16) =
% 23.96/4.28 | v17) | ~ (host(v13) = v14) | ~ (host(v12) = v19) | ~
% 23.96/4.28 | (host(v11) = v16) | ~ (queue(v19) = v20) | ~ (elem(v18, v20) =
% 23.96/4.28 | 0) | ~ $i(v13) | ~ $i(v12) | ~ $i(v11) | ? [v21: any] : ?
% 23.96/4.28 | [v22: $i] : ? [v23: any] : ? [v24: $i] : ? [v25: $i] :
% 23.96/4.28 | (index(ldr, v16) = v24 & index(status, v16) = v25 & index(status,
% 23.96/4.28 | v14) = v22 & setIn(v13, alive) = v21 & setIn(v11, alive) = v23
% 23.96/4.28 | & $i(v25) & $i(v24) & $i(v22) & ( ~ (v25 = norm) | ~ (v24 =
% 23.96/4.28 | v16) | ~ (v23 = 0) | ~ (v22 = elec_2) | ~ (v21 = 0)))) &
% 23.96/4.28 | ! [v11: $i] : ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ! [v15:
% 23.96/4.28 | $i] : ! [v16: $i] : ! [v17: $i] : ! [v18: $i] : ! [v19: $i] :
% 23.96/4.28 | ( ~ (m_Down(v13) = v15) | ~ (m_Down(v12) = v17) | ~ (host(v14) =
% 23.96/4.28 | nbr_proc) | ~ (host(v11) = v18) | ~ (queue(v18) = v19) | ~
% 23.96/4.28 | (queue(nbr_proc) = v16) | ~ (elem(v17, v19) = 0) | ~ (elem(v15,
% 23.96/4.28 | v16) = 0) | ~ $i(v14) | ~ $i(v13) | ~ $i(v12) | ~ $i(v11)
% 23.96/4.28 | | ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ?
% 23.96/4.28 | [v24: any] : (index(down, nbr_proc) = v20 & index(status,
% 23.96/4.28 | nbr_proc) = v23 & host(v13) = v21 & host(v12) = v22 &
% 23.96/4.28 | setIn(v11, alive) = v24 & $i(v23) & $i(v22) & $i(v21) & $i(v20)
% 23.96/4.28 | & ( ~ (v24 = 0) | ~ (v23 = elec_1) | ~ (v22 = nbr_proc) | ?
% 23.96/4.28 | [v25: $i] : ? [v26: int] : ? [v27: int] : ( ~ (v27 = 0) & ~
% 23.96/4.28 | (v26 = 0) & ~ (v25 = v21) & leq(all_66_0, v25) = 0 &
% 23.96/4.28 | leq(nbr_proc, v25) = v26 & setIn(v25, v20) = v27 &
% 23.96/4.28 | $i(v25))))) & ! [v11: $i] : ! [v12: $i] : ! [v13: $i] :
% 23.96/4.28 | ! [v14: $i] : ! [v15: $i] : ! [v16: $i] : ! [v17: $i] : ! [v18:
% 23.96/4.28 | $i] : ( ~ (m_Down(v13) = v15) | ~ (m_Ack(v14, v12) = v18) | ~
% 23.96/4.28 | (host(v14) = v16) | ~ (queue(v16) = v17) | ~ (elem(v18, v17) =
% 23.96/4.28 | 0) | ~ (elem(v15, v17) = 0) | ~ (setIn(v11, alive) = 0) | ~
% 23.96/4.28 | $i(v14) | ~ $i(v13) | ~ $i(v12) | ~ $i(v11) | ? [v19: any] :
% 23.96/4.28 | ? [v20: $i] : ? [v21: $i] : ? [v22: any] : ? [v23: $i] : ?
% 23.96/4.28 | [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 23.96/4.28 | $i] : (index(ldr, v26) = v27 & index(status, v26) = v28 &
% 23.96/4.28 | index(status, v16) = v23 & index(pendack, v16) = v20 &
% 23.96/4.28 | leq(nbr_proc, v21) = v22 & s(v20) = v21 & host(v13) = v25 &
% 23.96/4.28 | host(v12) = v24 & host(v11) = v26 & setIn(v14, alive) = v19 &
% 23.96/4.28 | $i(v28) & $i(v27) & $i(v26) & $i(v25) & $i(v24) & $i(v23) &
% 23.96/4.28 | $i(v21) & $i(v20) & ( ~ (v28 = norm) | ~ (v27 = v26) | ~ (v25
% 23.96/4.28 | = v21) | ~ (v24 = v20) | ~ (v23 = elec_2) | ~ (v22 = 0) |
% 23.96/4.28 | ~ (v19 = 0)))) & ! [v11: $i] : ! [v12: $i] : ! [v13: $i] :
% 23.96/4.28 | ! [v14: $i] : ! [v15: $i] : ! [v16: int] : (v16 = 0 | ~
% 23.96/4.28 | (index(pendack, v14) = v15) | ~ (leq(v15, v13) = v16) | ~
% 23.96/4.28 | (host(v12) = v14) | ~ (host(v11) = v13) | ~ $i(v12) | ~ $i(v11)
% 23.96/4.28 | | ? [v17: any] : ? [v18: any] : ? [v19: any] : ? [v20: $i] :
% 23.96/4.28 | ? [v21: $i] : (index(status, v14) = v21 & index(status, v13) = v20
% 23.96/4.28 | & leq(v13, v14) = v17 & setIn(v12, alive) = v19 & setIn(v11,
% 23.96/4.28 | alive) = v18 & $i(v21) & $i(v20) & ( ~ (v21 = elec_2) | ~
% 23.96/4.28 | (v20 = elec_2) | ~ (v19 = 0) | ~ (v18 = 0) | v17 = 0))) & !
% 23.96/4.28 | [v11: $i] : ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ! [v15:
% 23.96/4.28 | $i] : ! [v16: int] : (v16 = 0 | ~ (index(pendack, v13) = v15) |
% 23.96/4.28 | ~ (leq(v14, v15) = v16) | ~ (host(v12) = v13) | ~ (host(v11) =
% 23.96/4.28 | v14) | ~ $i(v12) | ~ $i(v11) | ? [v17: any] : ? [v18: $i] :
% 23.96/4.28 | ? [v19: $i] : ? [v20: any] : (m_Ack(v12, v11) = v18 & queue(v13)
% 23.96/4.28 | = v19 & elem(v18, v19) = v20 & setIn(v12, alive) = v17 & $i(v19)
% 23.96/4.28 | & $i(v18) & ( ~ (v20 = 0) | ~ (v17 = 0)))) & ! [v11: $i] : !
% 23.96/4.28 | [v12: $i] : ! [v13: $i] : ! [v14: $i] : ! [v15: $i] : ! [v16:
% 23.96/4.28 | $i] : ( ~ (index(pendack, v14) = v16) | ~ (index(pendack, v13) =
% 23.96/4.28 | v15) | ~ (leq(v15, v16) = 0) | ~ (host(v12) = v14) | ~
% 23.96/4.28 | (host(v11) = v13) | ~ $i(v12) | ~ $i(v11) | ? [v17: any] : ?
% 23.96/4.28 | [v18: any] : ? [v19: any] : ? [v20: $i] : ? [v21: $i] :
% 23.96/4.28 | (index(status, v14) = v21 & index(status, v13) = v20 & leq(v13,
% 23.96/4.28 | v14) = v17 & setIn(v12, alive) = v19 & setIn(v11, alive) = v18
% 23.96/4.28 | & $i(v21) & $i(v20) & ( ~ (v21 = elec_2) | ~ (v20 = elec_2) |
% 23.96/4.28 | ~ (v19 = 0) | ~ (v18 = 0) | v17 = 0))) & ! [v11: $i] : !
% 23.96/4.28 | [v12: $i] : ! [v13: $i] : ! [v14: $i] : ! [v15: $i] : ! [v16:
% 23.96/4.28 | $i] : ( ~ (m_Down(v12) = v14) | ~ (host(v13) = v15) | ~
% 23.96/4.28 | (queue(v15) = v16) | ~ (elem(v14, v16) = 0) | ~ (setIn(v11,
% 23.96/4.28 | alive) = 0) | ~ $i(v13) | ~ $i(v12) | ~ $i(v11) | ? [v17:
% 23.96/4.28 | any] : ? [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i]
% 23.96/4.28 | : (index(ldr, v19) = v20 & index(status, v19) = v21 & host(v12) =
% 23.96/4.28 | v18 & host(v11) = v19 & setIn(v13, alive) = v17 & $i(v21) &
% 23.96/4.28 | $i(v20) & $i(v19) & $i(v18) & ( ~ (v21 = norm) | ~ (v20 = v18)
% 23.96/4.28 | | ~ (v19 = v18) | ~ (v17 = 0)))) & ! [v11: $i] : ! [v12:
% 23.96/4.28 | $i] : ! [v13: $i] : ! [v14: $i] : ! [v15: $i] : ! [v16: $i] :
% 23.96/4.28 | ( ~ (m_Ack(v13, v11) = v14) | ~ (host(v12) = v15) | ~ (queue(v15)
% 23.96/4.28 | = v16) | ~ (elem(v14, v16) = 0) | ~ $i(v13) | ~ $i(v12) | ~
% 23.96/4.28 | $i(v11) | ? [v17: $i] : ? [v18: $i] : ? [v19: int] : ( ~ (v19 =
% 23.96/4.28 | 0) & leq(v17, v18) = v19 & host(v13) = v18 & host(v11) = v17 &
% 23.96/4.28 | $i(v18) & $i(v17))) & ! [v11: $i] : ! [v12: $i] : ! [v13: $i]
% 23.96/4.28 | : ! [v14: $i] : ! [v15: $i] : ! [v16: $i] : ( ~ (m_Ack(v11, v12)
% 23.96/4.28 | = v15) | ~ (host(v11) = v14) | ~ (queue(v14) = v16) | ~
% 23.96/4.28 | (elem(v15, v16) = 0) | ~ (setIn(v13, alive) = 0) | ~ $i(v13) |
% 23.96/4.28 | ~ $i(v12) | ~ $i(v11) | ? [v17: any] : ? [v18: $i] : ? [v19:
% 23.96/4.28 | $i] : ? [v20: $i] : ? [v21: $i] : (index(status, v18) = v21 &
% 23.96/4.28 | index(status, v14) = v20 & host(v13) = v18 & host(v12) = v19 &
% 23.96/4.28 | setIn(v11, alive) = v17 & $i(v21) & $i(v20) & $i(v19) & $i(v18)
% 23.96/4.28 | & ( ~ (v21 = elec_2) | ~ (v20 = elec_2) | ~ (v19 = v18) | ~
% 23.96/4.28 | (v17 = 0)))) & ! [v11: $i] : ! [v12: $i] : ! [v13: $i] : !
% 23.96/4.28 | [v14: $i] : ! [v15: $i] : ( ~ (m_Ldr(v12) = v13) | ~ (host(v11) =
% 23.96/4.28 | v14) | ~ (queue(v14) = v15) | ~ (elem(v13, v15) = 0) | ~
% 23.96/4.28 | $i(v12) | ~ $i(v11) | ? [v16: $i] : ? [v17: int] : ( ~ (v17 =
% 23.96/4.28 | 0) & leq(v14, v16) = v17 & host(v12) = v16 & $i(v16))) & !
% 23.96/4.28 | [v11: $i] : ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ! [v15:
% 23.96/4.28 | $i] : ( ~ (m_Down(v12) = v13) | ~ (host(v11) = v14) | ~
% 23.96/4.28 | (queue(v14) = v15) | ~ (elem(v13, v15) = 0) | ~ $i(v12) | ~
% 23.96/4.28 | $i(v11) | ? [v16: $i] : ( ~ (v16 = v14) & host(v12) = v16 &
% 23.96/4.28 | $i(v16))) & ! [v11: $i] : ! [v12: $i] : ! [v13: $i] : !
% 23.96/4.28 | [v14: $i] : ! [v15: $i] : ( ~ (m_Halt(v12) = v13) | ~ (host(v11) =
% 23.96/4.28 | v14) | ~ (queue(v14) = v15) | ~ (elem(v13, v15) = 0) | ~
% 23.96/4.28 | $i(v12) | ~ $i(v11) | ? [v16: $i] : ? [v17: int] : ( ~ (v17 =
% 23.96/4.28 | 0) & leq(v14, v16) = v17 & host(v12) = v16 & $i(v16))) & !
% 23.96/4.28 | [v11: $i] : ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ! [v15:
% 23.96/4.28 | $i] : ( ~ (m_Ack(v12, v11) = v14) | ~ (host(v12) = v13) | ~
% 23.96/4.28 | (queue(v13) = v15) | ~ (elem(v14, v15) = 0) | ~ $i(v12) | ~
% 23.96/4.28 | $i(v11) | ? [v16: any] : ? [v17: $i] : (index(status, v13) = v17
% 23.96/4.28 | & setIn(v12, alive) = v16 & $i(v17) & ( ~ (v17 = elec_1) | ~
% 23.96/4.28 | (v16 = 0)))) & ! [v11: $i] : ! [v12: $i] : (v12 = v11 | ~
% 23.96/4.28 | (setIn(v12, alive) = 0) | ~ (setIn(v11, alive) = 0) | ~ $i(v12)
% 23.96/4.28 | | ~ $i(v11) | ? [v13: $i] : ? [v14: $i] : ( ~ (v14 = v13) &
% 23.96/4.28 | host(v12) = v13 & host(v11) = v14 & $i(v14) & $i(v13))) & !
% 23.96/4.28 | [v11: $i] : ( ~ (setIn(v11, alive) = 0) | ~ $i(v11) | ? [v12: $i]
% 23.96/4.28 | : ? [v13: $i] : ? [v14: $i] : (index(elid, v12) = v14 &
% 23.96/4.28 | index(status, v12) = v13 & host(v11) = v12 & $i(v14) & $i(v13) &
% 23.96/4.28 | $i(v12) & (v14 = v11 | ( ~ (v13 = elec_1) & ~ (v13 =
% 23.96/4.28 | elec_2))))) & ? [v11: $i] : ? [v12: $i] : ? [v13: $i] :
% 23.96/4.28 | ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18:
% 23.96/4.28 | $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ( ~ (v9 = v4) &
% 23.96/4.28 | index(ldr, v21) = v21 & index(status, v21) = norm & index(status,
% 23.96/4.28 | v9) = elec_2 & index(pendack, v9) = v15 & snoc(v18, v10) = v19 &
% 23.96/4.28 | m_Down(v13) = v17 & leq(nbr_proc, v16) = 0 & s(v15) = v16 &
% 23.96/4.28 | m_Ack(v14, v12) = v20 & host(v14) = v9 & host(v13) = v16 &
% 23.96/4.28 | host(v12) = v15 & host(v11) = v21 & queue(v9) = v18 & elem(v20,
% 23.96/4.28 | v19) = 0 & elem(v17, v19) = 0 & setIn(v14, alive) = 0 &
% 23.96/4.28 | setIn(v11, alive) = 0 & $i(v21) & $i(v20) & $i(v19) & $i(v18) &
% 23.96/4.28 | $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 23.96/4.28 | $i(v11)))
% 23.96/4.28 |
% 23.96/4.28 | ALPHA: (16) implies:
% 23.96/4.29 | (17) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 23.96/4.29 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: int] : ? [v9: $i] :
% 23.96/4.29 | ? [v10: $i] : ( ~ (v8 = 0) & index(elid, v4) = v1 & index(status, v4)
% 23.96/4.29 | = elec_2 & index(pendack, v4) = v7 & cons(v6, v0) = v5 & m_Halt(v2)
% 23.96/4.29 | = v10 & leq(nbr_proc, v7) = v8 & s(v7) = v9 & m_Ack(v1, v3) = v6 &
% 23.96/4.29 | host(v3) = v7 & host(v2) = v4 & queue(v4) = v5 & setIn(v2, alive) =
% 23.96/4.29 | 0 & $i(v10) & $i(v9) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 23.96/4.29 | $i(v2) & $i(v1) & $i(v0) & ! [v11: $i] : ! [v12: $i] : ! [v13:
% 23.96/4.29 | $i] : ! [v14: $i] : ! [v15: $i] : ! [v16: $i] : ! [v17: int] :
% 23.96/4.29 | ! [v18: $i] : ! [v19: $i] : ! [v20: $i] : (v17 = 0 | ~
% 23.96/4.29 | (index(pendack, v14) = v15) | ~ (m_Halt(v13) = v18) | ~
% 23.96/4.29 | (leq(v15, v16) = v17) | ~ (host(v13) = v14) | ~ (host(v12) =
% 23.96/4.29 | v19) | ~ (host(v11) = v16) | ~ (queue(v19) = v20) | ~
% 23.96/4.29 | (elem(v18, v20) = 0) | ~ $i(v13) | ~ $i(v12) | ~ $i(v11) | ?
% 23.96/4.29 | [v21: any] : ? [v22: $i] : ? [v23: any] : ? [v24: $i] : ?
% 23.96/4.29 | [v25: $i] : (index(ldr, v16) = v24 & index(status, v16) = v25 &
% 23.96/4.29 | index(status, v14) = v22 & setIn(v13, alive) = v21 & setIn(v11,
% 23.96/4.29 | alive) = v23 & $i(v25) & $i(v24) & $i(v22) & ( ~ (v25 = norm)
% 23.96/4.29 | | ~ (v24 = v16) | ~ (v23 = 0) | ~ (v22 = elec_2) | ~ (v21
% 23.96/4.29 | = 0)))) & ! [v11: $i] : ! [v12: $i] : ! [v13: $i] : !
% 23.96/4.29 | [v14: $i] : ! [v15: $i] : ! [v16: $i] : ! [v17: $i] : ! [v18:
% 23.96/4.29 | $i] : ! [v19: $i] : ( ~ (m_Down(v13) = v15) | ~ (m_Down(v12) =
% 23.96/4.29 | v17) | ~ (host(v14) = nbr_proc) | ~ (host(v11) = v18) | ~
% 23.96/4.29 | (queue(v18) = v19) | ~ (queue(nbr_proc) = v16) | ~ (elem(v17,
% 23.96/4.29 | v19) = 0) | ~ (elem(v15, v16) = 0) | ~ $i(v14) | ~ $i(v13)
% 23.96/4.29 | | ~ $i(v12) | ~ $i(v11) | ? [v20: $i] : ? [v21: $i] : ? [v22:
% 23.96/4.29 | $i] : ? [v23: $i] : ? [v24: any] : (index(down, nbr_proc) =
% 23.96/4.29 | v20 & index(status, nbr_proc) = v23 & host(v13) = v21 &
% 23.96/4.29 | host(v12) = v22 & setIn(v11, alive) = v24 & $i(v23) & $i(v22) &
% 23.96/4.29 | $i(v21) & $i(v20) & ( ~ (v24 = 0) | ~ (v23 = elec_1) | ~ (v22
% 23.96/4.29 | = nbr_proc) | ? [v25: $i] : ? [v26: int] : ? [v27: int] :
% 23.96/4.29 | ( ~ (v27 = 0) & ~ (v26 = 0) & ~ (v25 = v21) & leq(all_66_0,
% 23.96/4.29 | v25) = 0 & leq(nbr_proc, v25) = v26 & setIn(v25, v20) =
% 23.96/4.29 | v27 & $i(v25))))) & ! [v11: $i] : ! [v12: $i] : ! [v13:
% 23.96/4.29 | $i] : ! [v14: $i] : ! [v15: $i] : ! [v16: $i] : ! [v17: $i] :
% 23.96/4.29 | ! [v18: $i] : ( ~ (m_Down(v13) = v15) | ~ (m_Ack(v14, v12) = v18) |
% 23.96/4.29 | ~ (host(v14) = v16) | ~ (queue(v16) = v17) | ~ (elem(v18, v17)
% 23.96/4.29 | = 0) | ~ (elem(v15, v17) = 0) | ~ (setIn(v11, alive) = 0) | ~
% 23.96/4.29 | $i(v14) | ~ $i(v13) | ~ $i(v12) | ~ $i(v11) | ? [v19: any] :
% 23.96/4.29 | ? [v20: $i] : ? [v21: $i] : ? [v22: any] : ? [v23: $i] : ?
% 23.96/4.29 | [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 23.96/4.29 | $i] : (index(ldr, v26) = v27 & index(status, v26) = v28 &
% 23.96/4.29 | index(status, v16) = v23 & index(pendack, v16) = v20 &
% 23.96/4.29 | leq(nbr_proc, v21) = v22 & s(v20) = v21 & host(v13) = v25 &
% 23.96/4.29 | host(v12) = v24 & host(v11) = v26 & setIn(v14, alive) = v19 &
% 23.96/4.29 | $i(v28) & $i(v27) & $i(v26) & $i(v25) & $i(v24) & $i(v23) &
% 23.96/4.29 | $i(v21) & $i(v20) & ( ~ (v28 = norm) | ~ (v27 = v26) | ~ (v25
% 23.96/4.29 | = v21) | ~ (v24 = v20) | ~ (v23 = elec_2) | ~ (v22 = 0) |
% 23.96/4.29 | ~ (v19 = 0)))) & ! [v11: $i] : ! [v12: $i] : ! [v13: $i] :
% 23.96/4.29 | ! [v14: $i] : ! [v15: $i] : ! [v16: int] : (v16 = 0 | ~
% 23.96/4.29 | (index(pendack, v14) = v15) | ~ (leq(v15, v13) = v16) | ~
% 23.96/4.29 | (host(v12) = v14) | ~ (host(v11) = v13) | ~ $i(v12) | ~ $i(v11)
% 23.96/4.29 | | ? [v17: any] : ? [v18: any] : ? [v19: any] : ? [v20: $i] :
% 23.96/4.29 | ? [v21: $i] : (index(status, v14) = v21 & index(status, v13) = v20
% 23.96/4.29 | & leq(v13, v14) = v17 & setIn(v12, alive) = v19 & setIn(v11,
% 23.96/4.29 | alive) = v18 & $i(v21) & $i(v20) & ( ~ (v21 = elec_2) | ~
% 23.96/4.29 | (v20 = elec_2) | ~ (v19 = 0) | ~ (v18 = 0) | v17 = 0))) & !
% 23.96/4.29 | [v11: $i] : ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ! [v15:
% 23.96/4.29 | $i] : ! [v16: int] : (v16 = 0 | ~ (index(pendack, v13) = v15) |
% 23.96/4.29 | ~ (leq(v14, v15) = v16) | ~ (host(v12) = v13) | ~ (host(v11) =
% 23.96/4.29 | v14) | ~ $i(v12) | ~ $i(v11) | ? [v17: any] : ? [v18: $i] :
% 23.96/4.29 | ? [v19: $i] : ? [v20: any] : (m_Ack(v12, v11) = v18 & queue(v13)
% 23.96/4.29 | = v19 & elem(v18, v19) = v20 & setIn(v12, alive) = v17 & $i(v19)
% 23.96/4.29 | & $i(v18) & ( ~ (v20 = 0) | ~ (v17 = 0)))) & ! [v11: $i] : !
% 23.96/4.29 | [v12: $i] : ! [v13: $i] : ! [v14: $i] : ! [v15: $i] : ! [v16:
% 23.96/4.29 | $i] : ( ~ (index(pendack, v14) = v16) | ~ (index(pendack, v13) =
% 23.96/4.29 | v15) | ~ (leq(v15, v16) = 0) | ~ (host(v12) = v14) | ~
% 23.96/4.29 | (host(v11) = v13) | ~ $i(v12) | ~ $i(v11) | ? [v17: any] : ?
% 23.96/4.29 | [v18: any] : ? [v19: any] : ? [v20: $i] : ? [v21: $i] :
% 23.96/4.29 | (index(status, v14) = v21 & index(status, v13) = v20 & leq(v13,
% 23.96/4.29 | v14) = v17 & setIn(v12, alive) = v19 & setIn(v11, alive) = v18
% 23.96/4.29 | & $i(v21) & $i(v20) & ( ~ (v21 = elec_2) | ~ (v20 = elec_2) |
% 23.96/4.29 | ~ (v19 = 0) | ~ (v18 = 0) | v17 = 0))) & ! [v11: $i] : !
% 23.96/4.29 | [v12: $i] : ! [v13: $i] : ! [v14: $i] : ! [v15: $i] : ! [v16:
% 23.96/4.29 | $i] : ( ~ (m_Down(v12) = v14) | ~ (host(v13) = v15) | ~
% 23.96/4.29 | (queue(v15) = v16) | ~ (elem(v14, v16) = 0) | ~ (setIn(v11,
% 23.96/4.29 | alive) = 0) | ~ $i(v13) | ~ $i(v12) | ~ $i(v11) | ? [v17:
% 23.96/4.29 | any] : ? [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i]
% 23.96/4.29 | : (index(ldr, v19) = v20 & index(status, v19) = v21 & host(v12) =
% 23.96/4.29 | v18 & host(v11) = v19 & setIn(v13, alive) = v17 & $i(v21) &
% 23.96/4.29 | $i(v20) & $i(v19) & $i(v18) & ( ~ (v21 = norm) | ~ (v20 = v18)
% 23.96/4.29 | | ~ (v19 = v18) | ~ (v17 = 0)))) & ! [v11: $i] : ! [v12:
% 23.96/4.29 | $i] : ! [v13: $i] : ! [v14: $i] : ! [v15: $i] : ! [v16: $i] :
% 23.96/4.29 | ( ~ (m_Ack(v13, v11) = v14) | ~ (host(v12) = v15) | ~ (queue(v15)
% 23.96/4.29 | = v16) | ~ (elem(v14, v16) = 0) | ~ $i(v13) | ~ $i(v12) | ~
% 23.96/4.29 | $i(v11) | ? [v17: $i] : ? [v18: $i] : ? [v19: int] : ( ~ (v19 =
% 23.96/4.29 | 0) & leq(v17, v18) = v19 & host(v13) = v18 & host(v11) = v17 &
% 23.96/4.29 | $i(v18) & $i(v17))) & ! [v11: $i] : ! [v12: $i] : ! [v13: $i]
% 23.96/4.29 | : ! [v14: $i] : ! [v15: $i] : ! [v16: $i] : ( ~ (m_Ack(v11, v12)
% 23.96/4.29 | = v15) | ~ (host(v11) = v14) | ~ (queue(v14) = v16) | ~
% 23.96/4.29 | (elem(v15, v16) = 0) | ~ (setIn(v13, alive) = 0) | ~ $i(v13) |
% 23.96/4.29 | ~ $i(v12) | ~ $i(v11) | ? [v17: any] : ? [v18: $i] : ? [v19:
% 23.96/4.29 | $i] : ? [v20: $i] : ? [v21: $i] : (index(status, v18) = v21 &
% 23.96/4.29 | index(status, v14) = v20 & host(v13) = v18 & host(v12) = v19 &
% 23.96/4.29 | setIn(v11, alive) = v17 & $i(v21) & $i(v20) & $i(v19) & $i(v18)
% 23.96/4.29 | & ( ~ (v21 = elec_2) | ~ (v20 = elec_2) | ~ (v19 = v18) | ~
% 23.96/4.29 | (v17 = 0)))) & ! [v11: $i] : ! [v12: $i] : ! [v13: $i] : !
% 23.96/4.29 | [v14: $i] : ! [v15: $i] : ( ~ (m_Ldr(v12) = v13) | ~ (host(v11) =
% 23.96/4.29 | v14) | ~ (queue(v14) = v15) | ~ (elem(v13, v15) = 0) | ~
% 23.96/4.29 | $i(v12) | ~ $i(v11) | ? [v16: $i] : ? [v17: int] : ( ~ (v17 =
% 23.96/4.29 | 0) & leq(v14, v16) = v17 & host(v12) = v16 & $i(v16))) & !
% 23.96/4.29 | [v11: $i] : ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ! [v15:
% 23.96/4.29 | $i] : ( ~ (m_Down(v12) = v13) | ~ (host(v11) = v14) | ~
% 23.96/4.29 | (queue(v14) = v15) | ~ (elem(v13, v15) = 0) | ~ $i(v12) | ~
% 23.96/4.29 | $i(v11) | ? [v16: $i] : ( ~ (v16 = v14) & host(v12) = v16 &
% 23.96/4.29 | $i(v16))) & ! [v11: $i] : ! [v12: $i] : ! [v13: $i] : !
% 23.96/4.29 | [v14: $i] : ! [v15: $i] : ( ~ (m_Halt(v12) = v13) | ~ (host(v11) =
% 23.96/4.29 | v14) | ~ (queue(v14) = v15) | ~ (elem(v13, v15) = 0) | ~
% 23.96/4.29 | $i(v12) | ~ $i(v11) | ? [v16: $i] : ? [v17: int] : ( ~ (v17 =
% 23.96/4.29 | 0) & leq(v14, v16) = v17 & host(v12) = v16 & $i(v16))) & !
% 23.96/4.29 | [v11: $i] : ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ! [v15:
% 23.96/4.29 | $i] : ( ~ (m_Ack(v12, v11) = v14) | ~ (host(v12) = v13) | ~
% 23.96/4.29 | (queue(v13) = v15) | ~ (elem(v14, v15) = 0) | ~ $i(v12) | ~
% 23.96/4.29 | $i(v11) | ? [v16: any] : ? [v17: $i] : (index(status, v13) = v17
% 23.96/4.29 | & setIn(v12, alive) = v16 & $i(v17) & ( ~ (v17 = elec_1) | ~
% 23.96/4.29 | (v16 = 0)))) & ! [v11: $i] : ! [v12: $i] : (v12 = v11 | ~
% 23.96/4.29 | (setIn(v12, alive) = 0) | ~ (setIn(v11, alive) = 0) | ~ $i(v12)
% 23.96/4.29 | | ~ $i(v11) | ? [v13: $i] : ? [v14: $i] : ( ~ (v14 = v13) &
% 23.96/4.29 | host(v12) = v13 & host(v11) = v14 & $i(v14) & $i(v13))) & !
% 23.96/4.29 | [v11: $i] : ( ~ (setIn(v11, alive) = 0) | ~ $i(v11) | ? [v12: $i]
% 23.96/4.29 | : ? [v13: $i] : ? [v14: $i] : (index(elid, v12) = v14 &
% 23.96/4.29 | index(status, v12) = v13 & host(v11) = v12 & $i(v14) & $i(v13) &
% 23.96/4.29 | $i(v12) & (v14 = v11 | ( ~ (v13 = elec_1) & ~ (v13 =
% 23.96/4.29 | elec_2))))) & ? [v11: $i] : ? [v12: $i] : ? [v13: $i] :
% 23.96/4.29 | ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18:
% 23.96/4.29 | $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ( ~ (v9 = v4) &
% 23.96/4.29 | index(ldr, v21) = v21 & index(status, v21) = norm & index(status,
% 23.96/4.29 | v9) = elec_2 & index(pendack, v9) = v15 & snoc(v18, v10) = v19 &
% 23.96/4.29 | m_Down(v13) = v17 & leq(nbr_proc, v16) = 0 & s(v15) = v16 &
% 23.96/4.29 | m_Ack(v14, v12) = v20 & host(v14) = v9 & host(v13) = v16 &
% 23.96/4.29 | host(v12) = v15 & host(v11) = v21 & queue(v9) = v18 & elem(v20,
% 23.96/4.29 | v19) = 0 & elem(v17, v19) = 0 & setIn(v14, alive) = 0 &
% 23.96/4.29 | setIn(v11, alive) = 0 & $i(v21) & $i(v20) & $i(v19) & $i(v18) &
% 23.96/4.29 | $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 23.96/4.29 | $i(v11)))
% 23.96/4.29 |
% 23.96/4.29 | DELTA: instantiating (17) with fresh symbols all_68_0, all_68_1, all_68_2,
% 23.96/4.29 | all_68_3, all_68_4, all_68_5, all_68_6, all_68_7, all_68_8, all_68_9,
% 23.96/4.29 | all_68_10 gives:
% 23.96/4.30 | (18) ~ (all_68_2 = 0) & index(elid, all_68_6) = all_68_9 & index(status,
% 23.96/4.30 | all_68_6) = elec_2 & index(pendack, all_68_6) = all_68_3 &
% 23.96/4.30 | cons(all_68_4, all_68_10) = all_68_5 & m_Halt(all_68_8) = all_68_0 &
% 23.96/4.30 | leq(nbr_proc, all_68_3) = all_68_2 & s(all_68_3) = all_68_1 &
% 23.96/4.30 | m_Ack(all_68_9, all_68_7) = all_68_4 & host(all_68_7) = all_68_3 &
% 23.96/4.30 | host(all_68_8) = all_68_6 & queue(all_68_6) = all_68_5 &
% 23.96/4.30 | setIn(all_68_8, alive) = 0 & $i(all_68_0) & $i(all_68_1) &
% 23.96/4.30 | $i(all_68_3) & $i(all_68_4) & $i(all_68_5) & $i(all_68_6) &
% 23.96/4.30 | $i(all_68_7) & $i(all_68_8) & $i(all_68_9) & $i(all_68_10) & ! [v0:
% 23.96/4.30 | $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 23.96/4.30 | [v5: $i] : ! [v6: int] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] :
% 23.96/4.30 | (v6 = 0 | ~ (index(pendack, v3) = v4) | ~ (m_Halt(v2) = v7) | ~
% 23.96/4.30 | (leq(v4, v5) = v6) | ~ (host(v2) = v3) | ~ (host(v1) = v8) | ~
% 23.96/4.30 | (host(v0) = v5) | ~ (queue(v8) = v9) | ~ (elem(v7, v9) = 0) | ~
% 23.96/4.30 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v10: any] : ? [v11: $i] : ?
% 23.96/4.30 | [v12: any] : ? [v13: $i] : ? [v14: $i] : (index(ldr, v5) = v13 &
% 23.96/4.30 | index(status, v5) = v14 & index(status, v3) = v11 & setIn(v2,
% 23.96/4.30 | alive) = v10 & setIn(v0, alive) = v12 & $i(v14) & $i(v13) &
% 23.96/4.30 | $i(v11) & ( ~ (v14 = norm) | ~ (v13 = v5) | ~ (v12 = 0) | ~
% 23.96/4.30 | (v11 = elec_2) | ~ (v10 = 0)))) & ! [v0: $i] : ! [v1: $i] :
% 23.96/4.30 | ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] :
% 23.96/4.30 | ! [v7: $i] : ! [v8: $i] : ( ~ (m_Down(v2) = v4) | ~ (m_Down(v1) =
% 23.96/4.30 | v6) | ~ (host(v3) = nbr_proc) | ~ (host(v0) = v7) | ~
% 23.96/4.30 | (queue(v7) = v8) | ~ (queue(nbr_proc) = v5) | ~ (elem(v6, v8) = 0)
% 23.96/4.30 | | ~ (elem(v4, v5) = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 23.96/4.30 | $i(v0) | ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] :
% 23.96/4.30 | ? [v13: any] : (index(down, nbr_proc) = v9 & index(status, nbr_proc)
% 23.96/4.30 | = v12 & host(v2) = v10 & host(v1) = v11 & setIn(v0, alive) = v13 &
% 23.96/4.30 | $i(v12) & $i(v11) & $i(v10) & $i(v9) & ( ~ (v13 = 0) | ~ (v12 =
% 23.96/4.30 | elec_1) | ~ (v11 = nbr_proc) | ? [v14: $i] : ? [v15: int] :
% 23.96/4.30 | ? [v16: int] : ( ~ (v16 = 0) & ~ (v15 = 0) & ~ (v14 = v10) &
% 23.96/4.30 | leq(all_66_0, v14) = 0 & leq(nbr_proc, v14) = v15 & setIn(v14,
% 23.96/4.30 | v9) = v16 & $i(v14))))) & ! [v0: $i] : ! [v1: $i] : !
% 23.96/4.30 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 23.96/4.30 | [v7: $i] : ( ~ (m_Down(v2) = v4) | ~ (m_Ack(v3, v1) = v7) | ~
% 23.96/4.30 | (host(v3) = v5) | ~ (queue(v5) = v6) | ~ (elem(v7, v6) = 0) | ~
% 23.96/4.30 | (elem(v4, v6) = 0) | ~ (setIn(v0, alive) = 0) | ~ $i(v3) | ~
% 23.96/4.30 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v8: any] : ? [v9: $i] : ?
% 23.96/4.30 | [v10: $i] : ? [v11: any] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 23.96/4.30 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : (index(ldr,
% 23.96/4.30 | v15) = v16 & index(status, v15) = v17 & index(status, v5) = v12
% 23.96/4.30 | & index(pendack, v5) = v9 & leq(nbr_proc, v10) = v11 & s(v9) = v10
% 23.96/4.30 | & host(v2) = v14 & host(v1) = v13 & host(v0) = v15 & setIn(v3,
% 23.96/4.30 | alive) = v8 & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) &
% 23.96/4.30 | $i(v12) & $i(v10) & $i(v9) & ( ~ (v17 = norm) | ~ (v16 = v15) |
% 23.96/4.30 | ~ (v14 = v10) | ~ (v13 = v9) | ~ (v12 = elec_2) | ~ (v11 = 0)
% 23.96/4.30 | | ~ (v8 = 0)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 23.96/4.30 | [v3: $i] : ! [v4: $i] : ! [v5: int] : (v5 = 0 | ~ (index(pendack,
% 23.96/4.30 | v3) = v4) | ~ (leq(v4, v2) = v5) | ~ (host(v1) = v3) | ~
% 23.96/4.30 | (host(v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7:
% 23.96/4.30 | any] : ? [v8: any] : ? [v9: $i] : ? [v10: $i] : (index(status,
% 23.96/4.30 | v3) = v10 & index(status, v2) = v9 & leq(v2, v3) = v6 &
% 23.96/4.30 | setIn(v1, alive) = v8 & setIn(v0, alive) = v7 & $i(v10) & $i(v9) &
% 23.96/4.30 | ( ~ (v10 = elec_2) | ~ (v9 = elec_2) | ~ (v8 = 0) | ~ (v7 = 0)
% 23.96/4.30 | | v6 = 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 23.96/4.30 | $i] : ! [v4: $i] : ! [v5: int] : (v5 = 0 | ~ (index(pendack, v2)
% 23.96/4.30 | = v4) | ~ (leq(v3, v4) = v5) | ~ (host(v1) = v2) | ~ (host(v0)
% 23.96/4.30 | = v3) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: $i] : ?
% 23.96/4.30 | [v8: $i] : ? [v9: any] : (m_Ack(v1, v0) = v7 & queue(v2) = v8 &
% 23.96/4.30 | elem(v7, v8) = v9 & setIn(v1, alive) = v6 & $i(v8) & $i(v7) & ( ~
% 23.96/4.30 | (v9 = 0) | ~ (v6 = 0)))) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 23.96/4.30 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (index(pendack,
% 23.96/4.30 | v3) = v5) | ~ (index(pendack, v2) = v4) | ~ (leq(v4, v5) = 0)
% 23.96/4.30 | | ~ (host(v1) = v3) | ~ (host(v0) = v2) | ~ $i(v1) | ~ $i(v0) |
% 23.96/4.30 | ? [v6: any] : ? [v7: any] : ? [v8: any] : ? [v9: $i] : ? [v10:
% 23.96/4.30 | $i] : (index(status, v3) = v10 & index(status, v2) = v9 & leq(v2,
% 23.96/4.30 | v3) = v6 & setIn(v1, alive) = v8 & setIn(v0, alive) = v7 &
% 23.96/4.30 | $i(v10) & $i(v9) & ( ~ (v10 = elec_2) | ~ (v9 = elec_2) | ~ (v8
% 23.96/4.30 | = 0) | ~ (v7 = 0) | v6 = 0))) & ! [v0: $i] : ! [v1: $i] :
% 23.96/4.30 | ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (m_Down(v1)
% 23.96/4.30 | = v3) | ~ (host(v2) = v4) | ~ (queue(v4) = v5) | ~ (elem(v3,
% 23.96/4.30 | v5) = 0) | ~ (setIn(v0, alive) = 0) | ~ $i(v2) | ~ $i(v1) |
% 23.96/4.30 | ~ $i(v0) | ? [v6: any] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 23.96/4.30 | ? [v10: $i] : (index(ldr, v8) = v9 & index(status, v8) = v10 &
% 23.96/4.30 | host(v1) = v7 & host(v0) = v8 & setIn(v2, alive) = v6 & $i(v10) &
% 23.96/4.30 | $i(v9) & $i(v8) & $i(v7) & ( ~ (v10 = norm) | ~ (v9 = v7) | ~
% 23.96/4.30 | (v8 = v7) | ~ (v6 = 0)))) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 23.96/4.30 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (m_Ack(v2, v0) =
% 23.96/4.30 | v3) | ~ (host(v1) = v4) | ~ (queue(v4) = v5) | ~ (elem(v3, v5)
% 23.96/4.30 | = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: $i] : ? [v7:
% 23.96/4.30 | $i] : ? [v8: int] : ( ~ (v8 = 0) & leq(v6, v7) = v8 & host(v2) =
% 23.96/4.30 | v7 & host(v0) = v6 & $i(v7) & $i(v6))) & ! [v0: $i] : ! [v1: $i]
% 23.96/4.30 | : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 23.96/4.30 | (m_Ack(v0, v1) = v4) | ~ (host(v0) = v3) | ~ (queue(v3) = v5) | ~
% 23.96/4.30 | (elem(v4, v5) = 0) | ~ (setIn(v2, alive) = 0) | ~ $i(v2) | ~
% 23.96/4.30 | $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: $i] : ? [v8: $i] : ?
% 23.96/4.30 | [v9: $i] : ? [v10: $i] : (index(status, v7) = v10 & index(status,
% 23.96/4.30 | v3) = v9 & host(v2) = v7 & host(v1) = v8 & setIn(v0, alive) = v6
% 23.96/4.30 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & ( ~ (v10 = elec_2) | ~ (v9
% 23.96/4.30 | = elec_2) | ~ (v8 = v7) | ~ (v6 = 0)))) & ! [v0: $i] : !
% 23.96/4.30 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (m_Ldr(v1) =
% 23.96/4.30 | v2) | ~ (host(v0) = v3) | ~ (queue(v3) = v4) | ~ (elem(v2, v4)
% 23.96/4.30 | = 0) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : ? [v6: int] : ( ~
% 23.96/4.30 | (v6 = 0) & leq(v3, v5) = v6 & host(v1) = v5 & $i(v5))) & ! [v0:
% 23.96/4.30 | $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 23.96/4.30 | (m_Down(v1) = v2) | ~ (host(v0) = v3) | ~ (queue(v3) = v4) | ~
% 23.96/4.30 | (elem(v2, v4) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : ( ~ (v5 =
% 23.96/4.30 | v3) & host(v1) = v5 & $i(v5))) & ! [v0: $i] : ! [v1: $i] : !
% 23.96/4.30 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (m_Halt(v1) = v2) | ~
% 23.96/4.30 | (host(v0) = v3) | ~ (queue(v3) = v4) | ~ (elem(v2, v4) = 0) | ~
% 23.96/4.30 | $i(v1) | ~ $i(v0) | ? [v5: $i] : ? [v6: int] : ( ~ (v6 = 0) &
% 23.96/4.30 | leq(v3, v5) = v6 & host(v1) = v5 & $i(v5))) & ! [v0: $i] : !
% 23.96/4.30 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (m_Ack(v1,
% 23.96/4.30 | v0) = v3) | ~ (host(v1) = v2) | ~ (queue(v2) = v4) | ~
% 23.96/4.30 | (elem(v3, v4) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6:
% 23.96/4.30 | $i] : (index(status, v2) = v6 & setIn(v1, alive) = v5 & $i(v6) & (
% 23.96/4.30 | ~ (v6 = elec_1) | ~ (v5 = 0)))) & ! [v0: $i] : ! [v1: $i] :
% 23.96/4.30 | (v1 = v0 | ~ (setIn(v1, alive) = 0) | ~ (setIn(v0, alive) = 0) | ~
% 23.96/4.30 | $i(v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: $i] : ( ~ (v3 = v2) &
% 23.96/4.30 | host(v1) = v2 & host(v0) = v3 & $i(v3) & $i(v2))) & ! [v0: $i] :
% 23.96/4.30 | ( ~ (setIn(v0, alive) = 0) | ~ $i(v0) | ? [v1: $i] : ? [v2: $i] :
% 23.96/4.30 | ? [v3: $i] : (index(elid, v1) = v3 & index(status, v1) = v2 &
% 23.96/4.30 | host(v0) = v1 & $i(v3) & $i(v2) & $i(v1) & (v3 = v0 | ( ~ (v2 =
% 23.96/4.30 | elec_1) & ~ (v2 = elec_2))))) & ? [v0: $i] : ? [v1: $i] :
% 23.96/4.30 | ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] :
% 23.96/4.30 | ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ( ~ (all_68_1
% 23.96/4.30 | = all_68_6) & index(ldr, v10) = v10 & index(status, v10) = norm &
% 23.96/4.30 | index(status, all_68_1) = elec_2 & index(pendack, all_68_1) = v4 &
% 23.96/4.30 | snoc(v7, all_68_0) = v8 & m_Down(v2) = v6 & leq(nbr_proc, v5) = 0 &
% 23.96/4.30 | s(v4) = v5 & m_Ack(v3, v1) = v9 & host(v3) = all_68_1 & host(v2) =
% 23.96/4.30 | v5 & host(v1) = v4 & host(v0) = v10 & queue(all_68_1) = v7 &
% 23.96/4.30 | elem(v9, v8) = 0 & elem(v6, v8) = 0 & setIn(v3, alive) = 0 &
% 23.96/4.30 | setIn(v0, alive) = 0 & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 23.96/4.30 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 23.96/4.30 |
% 23.96/4.30 | ALPHA: (18) implies:
% 23.96/4.30 | (19) ~ (all_68_2 = 0)
% 23.96/4.30 | (20) $i(all_68_8)
% 23.96/4.30 | (21) $i(all_68_7)
% 23.96/4.30 | (22) $i(all_68_3)
% 23.96/4.30 | (23) $i(all_68_0)
% 23.96/4.30 | (24) setIn(all_68_8, alive) = 0
% 23.96/4.30 | (25) host(all_68_8) = all_68_6
% 23.96/4.30 | (26) host(all_68_7) = all_68_3
% 23.96/4.30 | (27) s(all_68_3) = all_68_1
% 23.96/4.30 | (28) leq(nbr_proc, all_68_3) = all_68_2
% 23.96/4.30 | (29) m_Halt(all_68_8) = all_68_0
% 23.96/4.30 | (30) index(pendack, all_68_6) = all_68_3
% 23.96/4.30 | (31) index(status, all_68_6) = elec_2
% 23.96/4.30 | (32) index(elid, all_68_6) = all_68_9
% 23.96/4.30 | (33) ! [v0: $i] : ( ~ (setIn(v0, alive) = 0) | ~ $i(v0) | ? [v1: $i] :
% 23.96/4.30 | ? [v2: $i] : ? [v3: $i] : (index(elid, v1) = v3 & index(status, v1)
% 23.96/4.30 | = v2 & host(v0) = v1 & $i(v3) & $i(v2) & $i(v1) & (v3 = v0 | ( ~
% 23.96/4.30 | (v2 = elec_1) & ~ (v2 = elec_2)))))
% 23.96/4.30 | (34) ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (setIn(v1, alive) = 0) | ~
% 23.96/4.30 | (setIn(v0, alive) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: $i] : ?
% 23.96/4.30 | [v3: $i] : ( ~ (v3 = v2) & host(v1) = v2 & host(v0) = v3 & $i(v3) &
% 23.96/4.30 | $i(v2)))
% 23.96/4.30 | (35) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 23.96/4.30 | ( ~ (m_Down(v1) = v2) | ~ (host(v0) = v3) | ~ (queue(v3) = v4) | ~
% 23.96/4.30 | (elem(v2, v4) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : ( ~ (v5 =
% 23.96/4.30 | v3) & host(v1) = v5 & $i(v5)))
% 23.96/4.31 | (36) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 23.96/4.31 | ! [v5: $i] : ( ~ (m_Ack(v0, v1) = v4) | ~ (host(v0) = v3) | ~
% 23.96/4.31 | (queue(v3) = v5) | ~ (elem(v4, v5) = 0) | ~ (setIn(v2, alive) = 0)
% 23.96/4.31 | | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: $i] :
% 23.96/4.31 | ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : (index(status, v7) = v10 &
% 23.96/4.31 | index(status, v3) = v9 & host(v2) = v7 & host(v1) = v8 & setIn(v0,
% 23.96/4.31 | alive) = v6 & $i(v10) & $i(v9) & $i(v8) & $i(v7) & ( ~ (v10 =
% 23.96/4.31 | elec_2) | ~ (v9 = elec_2) | ~ (v8 = v7) | ~ (v6 = 0))))
% 23.96/4.31 | (37) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 23.96/4.31 | ! [v5: $i] : ( ~ (m_Down(v1) = v3) | ~ (host(v2) = v4) | ~
% 23.96/4.31 | (queue(v4) = v5) | ~ (elem(v3, v5) = 0) | ~ (setIn(v0, alive) = 0)
% 23.96/4.31 | | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: $i] :
% 23.96/4.31 | ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : (index(ldr, v8) = v9 &
% 23.96/4.31 | index(status, v8) = v10 & host(v1) = v7 & host(v0) = v8 &
% 23.96/4.31 | setIn(v2, alive) = v6 & $i(v10) & $i(v9) & $i(v8) & $i(v7) & ( ~
% 23.96/4.31 | (v10 = norm) | ~ (v9 = v7) | ~ (v8 = v7) | ~ (v6 = 0))))
% 23.96/4.31 | (38) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 23.96/4.31 | ! [v5: $i] : ( ~ (index(pendack, v3) = v5) | ~ (index(pendack, v2) =
% 23.96/4.31 | v4) | ~ (leq(v4, v5) = 0) | ~ (host(v1) = v3) | ~ (host(v0) =
% 23.96/4.31 | v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ?
% 23.96/4.31 | [v8: any] : ? [v9: $i] : ? [v10: $i] : (index(status, v3) = v10 &
% 23.96/4.31 | index(status, v2) = v9 & leq(v2, v3) = v6 & setIn(v1, alive) = v8
% 23.96/4.31 | & setIn(v0, alive) = v7 & $i(v10) & $i(v9) & ( ~ (v10 = elec_2) |
% 23.96/4.31 | ~ (v9 = elec_2) | ~ (v8 = 0) | ~ (v7 = 0) | v6 = 0)))
% 23.96/4.31 | (39) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 23.96/4.31 | ! [v5: int] : (v5 = 0 | ~ (index(pendack, v2) = v4) | ~ (leq(v3, v4)
% 23.96/4.31 | = v5) | ~ (host(v1) = v2) | ~ (host(v0) = v3) | ~ $i(v1) | ~
% 23.96/4.31 | $i(v0) | ? [v6: any] : ? [v7: $i] : ? [v8: $i] : ? [v9: any] :
% 23.96/4.31 | (m_Ack(v1, v0) = v7 & queue(v2) = v8 & elem(v7, v8) = v9 & setIn(v1,
% 23.96/4.31 | alive) = v6 & $i(v8) & $i(v7) & ( ~ (v9 = 0) | ~ (v6 = 0))))
% 23.96/4.31 | (40) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 23.96/4.31 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~ (m_Down(v2) = v4) | ~
% 23.96/4.31 | (m_Ack(v3, v1) = v7) | ~ (host(v3) = v5) | ~ (queue(v5) = v6) | ~
% 23.96/4.31 | (elem(v7, v6) = 0) | ~ (elem(v4, v6) = 0) | ~ (setIn(v0, alive) =
% 23.96/4.31 | 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v8: any]
% 23.96/4.31 | : ? [v9: $i] : ? [v10: $i] : ? [v11: any] : ? [v12: $i] : ?
% 23.96/4.31 | [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17:
% 23.96/4.31 | $i] : (index(ldr, v15) = v16 & index(status, v15) = v17 &
% 23.96/4.31 | index(status, v5) = v12 & index(pendack, v5) = v9 & leq(nbr_proc,
% 23.96/4.31 | v10) = v11 & s(v9) = v10 & host(v2) = v14 & host(v1) = v13 &
% 23.96/4.31 | host(v0) = v15 & setIn(v3, alive) = v8 & $i(v17) & $i(v16) &
% 23.96/4.31 | $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v10) & $i(v9) & ( ~
% 23.96/4.31 | (v17 = norm) | ~ (v16 = v15) | ~ (v14 = v10) | ~ (v13 = v9) |
% 23.96/4.31 | ~ (v12 = elec_2) | ~ (v11 = 0) | ~ (v8 = 0))))
% 23.96/4.31 | (41) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 23.96/4.31 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 23.96/4.31 | ? [v10: $i] : ( ~ (all_68_1 = all_68_6) & index(ldr, v10) = v10 &
% 23.96/4.31 | index(status, v10) = norm & index(status, all_68_1) = elec_2 &
% 23.96/4.31 | index(pendack, all_68_1) = v4 & snoc(v7, all_68_0) = v8 & m_Down(v2)
% 23.96/4.31 | = v6 & leq(nbr_proc, v5) = 0 & s(v4) = v5 & m_Ack(v3, v1) = v9 &
% 23.96/4.31 | host(v3) = all_68_1 & host(v2) = v5 & host(v1) = v4 & host(v0) = v10
% 23.96/4.31 | & queue(all_68_1) = v7 & elem(v9, v8) = 0 & elem(v6, v8) = 0 &
% 23.96/4.31 | setIn(v3, alive) = 0 & setIn(v0, alive) = 0 & $i(v10) & $i(v9) &
% 23.96/4.31 | $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 23.96/4.31 | $i(v1) & $i(v0))
% 23.96/4.31 |
% 23.96/4.31 | DELTA: instantiating (41) with fresh symbols all_71_0, all_71_1, all_71_2,
% 23.96/4.31 | all_71_3, all_71_4, all_71_5, all_71_6, all_71_7, all_71_8, all_71_9,
% 23.96/4.31 | all_71_10 gives:
% 23.96/4.31 | (42) ~ (all_68_1 = all_68_6) & index(ldr, all_71_0) = all_71_0 &
% 23.96/4.31 | index(status, all_71_0) = norm & index(status, all_68_1) = elec_2 &
% 23.96/4.31 | index(pendack, all_68_1) = all_71_6 & snoc(all_71_3, all_68_0) =
% 23.96/4.31 | all_71_2 & m_Down(all_71_8) = all_71_4 & leq(nbr_proc, all_71_5) = 0 &
% 23.96/4.31 | s(all_71_6) = all_71_5 & m_Ack(all_71_7, all_71_9) = all_71_1 &
% 23.96/4.31 | host(all_71_7) = all_68_1 & host(all_71_8) = all_71_5 & host(all_71_9)
% 23.96/4.31 | = all_71_6 & host(all_71_10) = all_71_0 & queue(all_68_1) = all_71_3 &
% 23.96/4.31 | elem(all_71_1, all_71_2) = 0 & elem(all_71_4, all_71_2) = 0 &
% 23.96/4.31 | setIn(all_71_7, alive) = 0 & setIn(all_71_10, alive) = 0 &
% 23.96/4.31 | $i(all_71_0) & $i(all_71_1) & $i(all_71_2) & $i(all_71_3) &
% 23.96/4.31 | $i(all_71_4) & $i(all_71_5) & $i(all_71_6) & $i(all_71_7) &
% 23.96/4.31 | $i(all_71_8) & $i(all_71_9) & $i(all_71_10)
% 23.96/4.31 |
% 23.96/4.31 | ALPHA: (42) implies:
% 23.96/4.31 | (43) ~ (all_68_1 = all_68_6)
% 23.96/4.31 | (44) $i(all_71_10)
% 23.96/4.31 | (45) $i(all_71_9)
% 23.96/4.31 | (46) $i(all_71_8)
% 23.96/4.31 | (47) $i(all_71_7)
% 23.96/4.31 | (48) $i(all_71_6)
% 23.96/4.31 | (49) $i(all_71_5)
% 23.96/4.31 | (50) $i(all_71_4)
% 23.96/4.31 | (51) $i(all_71_3)
% 23.96/4.31 | (52) $i(all_71_1)
% 23.96/4.31 | (53) setIn(all_71_10, alive) = 0
% 23.96/4.31 | (54) setIn(all_71_7, alive) = 0
% 23.96/4.31 | (55) elem(all_71_4, all_71_2) = 0
% 23.96/4.31 | (56) elem(all_71_1, all_71_2) = 0
% 23.96/4.31 | (57) queue(all_68_1) = all_71_3
% 23.96/4.31 | (58) host(all_71_10) = all_71_0
% 23.96/4.31 | (59) host(all_71_9) = all_71_6
% 23.96/4.31 | (60) host(all_71_8) = all_71_5
% 23.96/4.31 | (61) host(all_71_7) = all_68_1
% 23.96/4.31 | (62) m_Ack(all_71_7, all_71_9) = all_71_1
% 23.96/4.31 | (63) s(all_71_6) = all_71_5
% 23.96/4.31 | (64) leq(nbr_proc, all_71_5) = 0
% 23.96/4.31 | (65) m_Down(all_71_8) = all_71_4
% 23.96/4.31 | (66) snoc(all_71_3, all_68_0) = all_71_2
% 23.96/4.31 | (67) index(pendack, all_68_1) = all_71_6
% 23.96/4.31 | (68) index(status, all_68_1) = elec_2
% 23.96/4.31 | (69) index(status, all_71_0) = norm
% 23.96/4.31 | (70) index(ldr, all_71_0) = all_71_0
% 23.96/4.31 |
% 23.96/4.31 | GROUND_INST: instantiating (33) with all_68_8, simplifying with (20), (24)
% 23.96/4.31 | gives:
% 23.96/4.31 | (71) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (index(elid, v0) = v2 &
% 23.96/4.31 | index(status, v0) = v1 & host(all_68_8) = v0 & $i(v2) & $i(v1) &
% 23.96/4.31 | $i(v0) & (v2 = all_68_8 | ( ~ (v1 = elec_1) & ~ (v1 = elec_2))))
% 23.96/4.31 |
% 23.96/4.32 | GROUND_INST: instantiating (34) with all_68_8, all_71_10, simplifying with
% 23.96/4.32 | (20), (24), (44), (53) gives:
% 23.96/4.32 | (72) all_71_10 = all_68_8 | ? [v0: $i] : ? [v1: $i] : ( ~ (v1 = v0) &
% 23.96/4.32 | host(all_71_10) = v0 & host(all_68_8) = v1 & $i(v1) & $i(v0))
% 23.96/4.32 |
% 23.96/4.32 | GROUND_INST: instantiating (34) with all_71_10, all_68_8, simplifying with
% 23.96/4.32 | (20), (24), (44), (53) gives:
% 23.96/4.32 | (73) all_71_10 = all_68_8 | ? [v0: $i] : ? [v1: $i] : ( ~ (v1 = v0) &
% 23.96/4.32 | host(all_71_10) = v1 & host(all_68_8) = v0 & $i(v1) & $i(v0))
% 23.96/4.32 |
% 23.96/4.32 | GROUND_INST: instantiating (33) with all_71_10, simplifying with (44), (53)
% 23.96/4.32 | gives:
% 23.96/4.32 | (74) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (index(elid, v0) = v2 &
% 23.96/4.32 | index(status, v0) = v1 & host(all_71_10) = v0 & $i(v2) & $i(v1) &
% 23.96/4.32 | $i(v0) & (v2 = all_71_10 | ( ~ (v1 = elec_1) & ~ (v1 = elec_2))))
% 23.96/4.32 |
% 23.96/4.32 | GROUND_INST: instantiating (34) with all_71_10, all_71_7, simplifying with
% 23.96/4.32 | (44), (47), (53), (54) gives:
% 23.96/4.32 | (75) all_71_7 = all_71_10 | ? [v0: $i] : ? [v1: $i] : ( ~ (v1 = v0) &
% 23.96/4.32 | host(all_71_7) = v0 & host(all_71_10) = v1 & $i(v1) & $i(v0))
% 23.96/4.32 |
% 23.96/4.32 | GROUND_INST: instantiating (34) with all_71_7, all_71_10, simplifying with
% 23.96/4.32 | (44), (47), (53), (54) gives:
% 23.96/4.32 | (76) all_71_7 = all_71_10 | ? [v0: $i] : ? [v1: $i] : ( ~ (v1 = v0) &
% 23.96/4.32 | host(all_71_7) = v1 & host(all_71_10) = v0 & $i(v1) & $i(v0))
% 23.96/4.32 |
% 23.96/4.32 | GROUND_INST: instantiating (33) with all_71_7, simplifying with (47), (54)
% 23.96/4.32 | gives:
% 23.96/4.32 | (77) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (index(elid, v0) = v2 &
% 23.96/4.32 | index(status, v0) = v1 & host(all_71_7) = v0 & $i(v2) & $i(v1) &
% 23.96/4.32 | $i(v0) & (v2 = all_71_7 | ( ~ (v1 = elec_1) & ~ (v1 = elec_2))))
% 23.96/4.32 |
% 23.96/4.32 | GROUND_INST: instantiating (axiom_01) with all_68_7, all_68_7, all_68_3,
% 23.96/4.32 | simplifying with (21), (26) gives:
% 23.96/4.32 | (78) ? [v0: any] : ( ~ (v0 = all_68_3) & s(all_68_3) = v0 & $i(v0))
% 23.96/4.32 |
% 23.96/4.32 | GROUND_INST: instantiating (axiom_01) with all_71_9, all_71_9, all_71_6,
% 23.96/4.32 | simplifying with (45), (59) gives:
% 23.96/4.32 | (79) ? [v0: any] : ( ~ (v0 = all_71_6) & s(all_71_6) = v0 & $i(v0))
% 23.96/4.32 |
% 23.96/4.32 | GROUND_INST: instantiating (1) with all_71_9, all_71_6, simplifying with (45),
% 23.96/4.32 | (59) gives:
% 23.96/4.32 | (80) leq(all_71_6, nbr_proc) = 0
% 23.96/4.32 |
% 23.96/4.32 | GROUND_INST: instantiating (1) with all_71_8, all_71_5, simplifying with (46),
% 23.96/4.32 | (60) gives:
% 23.96/4.32 | (81) leq(all_71_5, nbr_proc) = 0
% 23.96/4.32 |
% 23.96/4.32 | GROUND_INST: instantiating (1) with all_71_7, all_68_1, simplifying with (47),
% 23.96/4.32 | (61) gives:
% 23.96/4.32 | (82) leq(all_68_1, nbr_proc) = 0
% 23.96/4.32 |
% 23.96/4.32 | GROUND_INST: instantiating (axiom_62) with nbr_proc, all_71_5, all_68_3,
% 23.96/4.32 | all_68_2, simplifying with (7), (22), (28), (49), (64) gives:
% 23.96/4.32 | (83) all_68_2 = 0 | ? [v0: int] : ( ~ (v0 = 0) & leq(all_71_5, all_68_3) =
% 23.96/4.32 | v0)
% 23.96/4.32 |
% 23.96/4.32 | GROUND_INST: instantiating (4) with nbr_proc, all_71_5, simplifying with (7),
% 23.96/4.32 | (49), (64) gives:
% 23.96/4.32 | (84) all_71_5 = nbr_proc | ? [v0: int] : ( ~ (v0 = 0) & leq(all_71_5,
% 23.96/4.32 | nbr_proc) = v0)
% 23.96/4.32 |
% 23.96/4.32 | GROUND_INST: instantiating (axiom_49) with all_68_8, all_68_0, simplifying
% 23.96/4.32 | with (20), (29) gives:
% 23.96/4.32 | (85) pidMsg(all_68_0) = all_68_8
% 23.96/4.32 |
% 23.96/4.32 | GROUND_INST: instantiating (axiom_50) with all_71_8, all_71_4, simplifying
% 23.96/4.32 | with (46), (65) gives:
% 23.96/4.32 | (86) pidMsg(all_71_4) = all_71_8
% 23.96/4.32 |
% 23.96/4.32 | GROUND_INST: instantiating (3) with all_71_1, all_68_0, all_71_3, all_71_2,
% 23.96/4.32 | simplifying with (23), (51), (52), (56), (66) gives:
% 23.96/4.32 | (87) all_71_1 = all_68_0 | elem(all_71_1, all_71_3) = 0
% 23.96/4.32 |
% 23.96/4.32 | GROUND_INST: instantiating (3) with all_71_4, all_68_0, all_71_3, all_71_2,
% 23.96/4.32 | simplifying with (23), (50), (51), (55), (66) gives:
% 23.96/4.32 | (88) all_71_4 = all_68_0 | elem(all_71_4, all_71_3) = 0
% 23.96/4.32 |
% 23.96/4.32 | DELTA: instantiating (78) with fresh symbol all_89_0 gives:
% 23.96/4.32 | (89) ~ (all_89_0 = all_68_3) & s(all_68_3) = all_89_0 & $i(all_89_0)
% 23.96/4.32 |
% 23.96/4.32 | ALPHA: (89) implies:
% 23.96/4.32 | (90) $i(all_89_0)
% 23.96/4.32 | (91) s(all_68_3) = all_89_0
% 23.96/4.32 |
% 23.96/4.32 | DELTA: instantiating (79) with fresh symbol all_93_0 gives:
% 23.96/4.32 | (92) ~ (all_93_0 = all_71_6) & s(all_71_6) = all_93_0 & $i(all_93_0)
% 23.96/4.32 |
% 23.96/4.32 | ALPHA: (92) implies:
% 23.96/4.32 | (93) ~ (all_93_0 = all_71_6)
% 23.96/4.32 | (94) $i(all_93_0)
% 23.96/4.32 | (95) s(all_71_6) = all_93_0
% 23.96/4.32 |
% 23.96/4.32 | DELTA: instantiating (77) with fresh symbols all_95_0, all_95_1, all_95_2
% 23.96/4.32 | gives:
% 23.96/4.32 | (96) index(elid, all_95_2) = all_95_0 & index(status, all_95_2) = all_95_1
% 23.96/4.32 | & host(all_71_7) = all_95_2 & $i(all_95_0) & $i(all_95_1) &
% 23.96/4.32 | $i(all_95_2) & (all_95_0 = all_71_7 | ( ~ (all_95_1 = elec_1) & ~
% 23.96/4.32 | (all_95_1 = elec_2)))
% 23.96/4.32 |
% 23.96/4.32 | ALPHA: (96) implies:
% 23.96/4.32 | (97) host(all_71_7) = all_95_2
% 23.96/4.32 | (98) index(status, all_95_2) = all_95_1
% 23.96/4.32 |
% 23.96/4.32 | DELTA: instantiating (74) with fresh symbols all_97_0, all_97_1, all_97_2
% 23.96/4.32 | gives:
% 23.96/4.32 | (99) index(elid, all_97_2) = all_97_0 & index(status, all_97_2) = all_97_1
% 23.96/4.32 | & host(all_71_10) = all_97_2 & $i(all_97_0) & $i(all_97_1) &
% 23.96/4.32 | $i(all_97_2) & (all_97_0 = all_71_10 | ( ~ (all_97_1 = elec_1) & ~
% 23.96/4.32 | (all_97_1 = elec_2)))
% 23.96/4.32 |
% 23.96/4.32 | ALPHA: (99) implies:
% 23.96/4.32 | (100) host(all_71_10) = all_97_2
% 23.96/4.32 | (101) index(status, all_97_2) = all_97_1
% 23.96/4.32 |
% 23.96/4.32 | DELTA: instantiating (71) with fresh symbols all_99_0, all_99_1, all_99_2
% 23.96/4.32 | gives:
% 23.96/4.32 | (102) index(elid, all_99_2) = all_99_0 & index(status, all_99_2) = all_99_1
% 23.96/4.32 | & host(all_68_8) = all_99_2 & $i(all_99_0) & $i(all_99_1) &
% 23.96/4.32 | $i(all_99_2) & (all_99_0 = all_68_8 | ( ~ (all_99_1 = elec_1) & ~
% 23.96/4.32 | (all_99_1 = elec_2)))
% 23.96/4.32 |
% 23.96/4.32 | ALPHA: (102) implies:
% 23.96/4.32 | (103) $i(all_99_2)
% 23.96/4.32 | (104) host(all_68_8) = all_99_2
% 23.96/4.32 | (105) index(status, all_99_2) = all_99_1
% 23.96/4.32 | (106) index(elid, all_99_2) = all_99_0
% 23.96/4.33 | (107) all_99_0 = all_68_8 | ( ~ (all_99_1 = elec_1) & ~ (all_99_1 =
% 23.96/4.33 | elec_2))
% 23.96/4.33 |
% 23.96/4.33 | BETA: splitting (84) gives:
% 23.96/4.33 |
% 23.96/4.33 | Case 1:
% 23.96/4.33 | |
% 23.96/4.33 | | (108) all_71_5 = nbr_proc
% 23.96/4.33 | |
% 23.96/4.33 | | REDUCE: (64), (108) imply:
% 23.96/4.33 | | (109) leq(nbr_proc, nbr_proc) = 0
% 23.96/4.33 | |
% 23.96/4.33 | | REDUCE: (63), (108) imply:
% 23.96/4.33 | | (110) s(all_71_6) = nbr_proc
% 23.96/4.33 | |
% 23.96/4.33 | | REDUCE: (60), (108) imply:
% 23.96/4.33 | | (111) host(all_71_8) = nbr_proc
% 23.96/4.33 | |
% 23.96/4.33 | | BETA: splitting (83) gives:
% 23.96/4.33 | |
% 23.96/4.33 | | Case 1:
% 23.96/4.33 | | |
% 23.96/4.33 | | | (112) all_68_2 = 0
% 23.96/4.33 | | |
% 23.96/4.33 | | | REDUCE: (19), (112) imply:
% 23.96/4.33 | | | (113) $false
% 23.96/4.33 | | |
% 23.96/4.33 | | | CLOSE: (113) is inconsistent.
% 23.96/4.33 | | |
% 23.96/4.33 | | Case 2:
% 23.96/4.33 | | |
% 23.96/4.33 | | | (114) ? [v0: int] : ( ~ (v0 = 0) & leq(all_71_5, all_68_3) = v0)
% 23.96/4.33 | | |
% 23.96/4.33 | | | DELTA: instantiating (114) with fresh symbol all_108_0 gives:
% 23.96/4.33 | | | (115) ~ (all_108_0 = 0) & leq(all_71_5, all_68_3) = all_108_0
% 23.96/4.33 | | |
% 23.96/4.33 | | | ALPHA: (115) implies:
% 23.96/4.33 | | | (116) ~ (all_108_0 = 0)
% 23.96/4.33 | | | (117) leq(all_71_5, all_68_3) = all_108_0
% 23.96/4.33 | | |
% 23.96/4.33 | | | REDUCE: (108), (117) imply:
% 23.96/4.33 | | | (118) leq(nbr_proc, all_68_3) = all_108_0
% 23.96/4.33 | | |
% 23.96/4.33 | | | GROUND_INST: instantiating (10) with all_68_6, all_99_2, all_68_8,
% 23.96/4.33 | | | simplifying with (25), (104) gives:
% 23.96/4.33 | | | (119) all_99_2 = all_68_6
% 23.96/4.33 | | |
% 23.96/4.33 | | | GROUND_INST: instantiating (10) with all_71_0, all_97_2, all_71_10,
% 23.96/4.33 | | | simplifying with (58), (100) gives:
% 23.96/4.33 | | | (120) all_97_2 = all_71_0
% 23.96/4.33 | | |
% 23.96/4.33 | | | GROUND_INST: instantiating (10) with all_68_1, all_95_2, all_71_7,
% 23.96/4.33 | | | simplifying with (61), (97) gives:
% 23.96/4.33 | | | (121) all_95_2 = all_68_1
% 23.96/4.33 | | |
% 23.96/4.33 | | | GROUND_INST: instantiating (11) with all_68_1, all_89_0, all_68_3,
% 23.96/4.33 | | | simplifying with (27), (91) gives:
% 23.96/4.33 | | | (122) all_89_0 = all_68_1
% 23.96/4.33 | | |
% 23.96/4.33 | | | GROUND_INST: instantiating (11) with nbr_proc, all_93_0, all_71_6,
% 23.96/4.33 | | | simplifying with (95), (110) gives:
% 23.96/4.33 | | | (123) all_93_0 = nbr_proc
% 23.96/4.33 | | |
% 23.96/4.33 | | | GROUND_INST: instantiating (14) with all_68_2, all_108_0, all_68_3,
% 23.96/4.33 | | | nbr_proc, simplifying with (28), (118) gives:
% 23.96/4.33 | | | (124) all_108_0 = all_68_2
% 23.96/4.33 | | |
% 23.96/4.33 | | | REDUCE: (93), (123) imply:
% 23.96/4.33 | | | (125) ~ (all_71_6 = nbr_proc)
% 23.96/4.33 | | |
% 23.96/4.33 | | | SIMP: (125) implies:
% 23.96/4.33 | | | (126) ~ (all_71_6 = nbr_proc)
% 23.96/4.33 | | |
% 23.96/4.33 | | | REDUCE: (106), (119) imply:
% 23.96/4.33 | | | (127) index(elid, all_68_6) = all_99_0
% 23.96/4.33 | | |
% 23.96/4.33 | | | REDUCE: (105), (119) imply:
% 23.96/4.33 | | | (128) index(status, all_68_6) = all_99_1
% 23.96/4.33 | | |
% 23.96/4.33 | | | REDUCE: (101), (120) imply:
% 23.96/4.33 | | | (129) index(status, all_71_0) = all_97_1
% 23.96/4.33 | | |
% 23.96/4.33 | | | REDUCE: (98), (121) imply:
% 23.96/4.33 | | | (130) index(status, all_68_1) = all_95_1
% 23.96/4.33 | | |
% 23.96/4.33 | | | REDUCE: (103), (119) imply:
% 23.96/4.33 | | | (131) $i(all_68_6)
% 23.96/4.33 | | |
% 23.96/4.33 | | | REDUCE: (90), (122) imply:
% 23.96/4.33 | | | (132) $i(all_68_1)
% 23.96/4.33 | | |
% 23.96/4.33 | | | GROUND_INST: instantiating (15) with elec_2, all_99_1, all_68_6, status,
% 23.96/4.33 | | | simplifying with (31), (128) gives:
% 23.96/4.33 | | | (133) all_99_1 = elec_2
% 23.96/4.33 | | |
% 23.96/4.33 | | | GROUND_INST: instantiating (15) with elec_2, all_95_1, all_68_1, status,
% 23.96/4.33 | | | simplifying with (68), (130) gives:
% 23.96/4.33 | | | (134) all_95_1 = elec_2
% 23.96/4.33 | | |
% 23.96/4.33 | | | GROUND_INST: instantiating (15) with norm, all_97_1, all_71_0, status,
% 23.96/4.33 | | | simplifying with (69), (129) gives:
% 23.96/4.33 | | | (135) all_97_1 = norm
% 23.96/4.33 | | |
% 23.96/4.33 | | | GROUND_INST: instantiating (15) with all_68_9, all_99_0, all_68_6, elid,
% 23.96/4.33 | | | simplifying with (32), (127) gives:
% 23.96/4.33 | | | (136) all_99_0 = all_68_9
% 23.96/4.33 | | |
% 23.96/4.33 | | | BETA: splitting (107) gives:
% 23.96/4.33 | | |
% 23.96/4.33 | | | Case 1:
% 23.96/4.33 | | | |
% 23.96/4.33 | | | | (137) all_99_0 = all_68_8
% 23.96/4.33 | | | |
% 23.96/4.33 | | | | COMBINE_EQS: (136), (137) imply:
% 23.96/4.33 | | | | (138) all_68_8 = all_68_9
% 23.96/4.33 | | | |
% 23.96/4.33 | | | | SIMP: (138) implies:
% 23.96/4.33 | | | | (139) all_68_8 = all_68_9
% 23.96/4.33 | | | |
% 23.96/4.33 | | | | REDUCE: (85), (139) imply:
% 23.96/4.33 | | | | (140) pidMsg(all_68_0) = all_68_9
% 23.96/4.33 | | | |
% 23.96/4.33 | | | | REDUCE: (29), (139) imply:
% 23.96/4.33 | | | | (141) m_Halt(all_68_9) = all_68_0
% 23.96/4.33 | | | |
% 23.96/4.33 | | | | REDUCE: (25), (139) imply:
% 23.96/4.33 | | | | (142) host(all_68_9) = all_68_6
% 23.96/4.33 | | | |
% 23.96/4.33 | | | | REDUCE: (24), (139) imply:
% 23.96/4.33 | | | | (143) setIn(all_68_9, alive) = 0
% 23.96/4.33 | | | |
% 23.96/4.33 | | | | REDUCE: (20), (139) imply:
% 23.96/4.33 | | | | (144) $i(all_68_9)
% 23.96/4.33 | | | |
% 23.96/4.33 | | | | GROUND_INST: instantiating (39) with all_71_8, all_68_9, all_68_6,
% 23.96/4.33 | | | | nbr_proc, all_68_3, all_68_2, simplifying with (28), (30),
% 23.96/4.33 | | | | (46), (111), (142), (144) gives:
% 23.96/4.33 | | | | (145) all_68_2 = 0 | ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ?
% 23.96/4.33 | | | | [v3: any] : (m_Ack(all_68_9, all_71_8) = v1 & queue(all_68_6) =
% 23.96/4.33 | | | | v2 & elem(v1, v2) = v3 & setIn(all_68_9, alive) = v0 & $i(v2)
% 23.96/4.33 | | | | & $i(v1) & ( ~ (v3 = 0) | ~ (v0 = 0)))
% 23.96/4.33 | | | |
% 23.96/4.33 | | | | GROUND_INST: instantiating (5) with all_71_6, all_71_6, nbr_proc,
% 23.96/4.33 | | | | nbr_proc, simplifying with (48), (109), (110) gives:
% 23.96/4.33 | | | | (146) leq(all_71_6, all_71_6) = 0
% 23.96/4.33 | | | |
% 23.96/4.33 | | | | GROUND_INST: instantiating (5) with all_68_3, all_71_6, all_68_1,
% 23.96/4.33 | | | | nbr_proc, simplifying with (22), (27), (48), (82), (110)
% 23.96/4.33 | | | | gives:
% 23.96/4.33 | | | | (147) leq(all_68_3, all_71_6) = 0
% 23.96/4.33 | | | |
% 23.96/4.34 | | | | GROUND_INST: instantiating (4) with all_71_6, nbr_proc, simplifying with
% 23.96/4.34 | | | | (7), (48), (80) gives:
% 23.96/4.34 | | | | (148) all_71_6 = nbr_proc | ? [v0: int] : ( ~ (v0 = 0) &
% 23.96/4.34 | | | | leq(nbr_proc, all_71_6) = v0)
% 23.96/4.34 | | | |
% 23.96/4.34 | | | | BETA: splitting (145) gives:
% 23.96/4.34 | | | |
% 23.96/4.34 | | | | Case 1:
% 23.96/4.34 | | | | |
% 23.96/4.34 | | | | | (149) all_68_2 = 0
% 23.96/4.34 | | | | |
% 23.96/4.34 | | | | | REDUCE: (19), (149) imply:
% 23.96/4.34 | | | | | (150) $false
% 23.96/4.34 | | | | |
% 23.96/4.34 | | | | | CLOSE: (150) is inconsistent.
% 23.96/4.34 | | | | |
% 23.96/4.34 | | | | Case 2:
% 23.96/4.34 | | | | |
% 23.96/4.34 | | | | | (151) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: any] :
% 23.96/4.34 | | | | | (m_Ack(all_68_9, all_71_8) = v1 & queue(all_68_6) = v2 &
% 23.96/4.34 | | | | | elem(v1, v2) = v3 & setIn(all_68_9, alive) = v0 & $i(v2) &
% 23.96/4.34 | | | | | $i(v1) & ( ~ (v3 = 0) | ~ (v0 = 0)))
% 23.96/4.34 | | | | |
% 23.96/4.34 | | | | | DELTA: instantiating (151) with fresh symbols all_136_0, all_136_1,
% 23.96/4.34 | | | | | all_136_2, all_136_3 gives:
% 23.96/4.34 | | | | | (152) m_Ack(all_68_9, all_71_8) = all_136_2 & queue(all_68_6) =
% 23.96/4.34 | | | | | all_136_1 & elem(all_136_2, all_136_1) = all_136_0 &
% 23.96/4.34 | | | | | setIn(all_68_9, alive) = all_136_3 & $i(all_136_1) &
% 23.96/4.34 | | | | | $i(all_136_2) & ( ~ (all_136_0 = 0) | ~ (all_136_3 = 0))
% 23.96/4.34 | | | | |
% 23.96/4.34 | | | | | ALPHA: (152) implies:
% 23.96/4.34 | | | | | (153) setIn(all_68_9, alive) = all_136_3
% 23.96/4.34 | | | | | (154) ~ (all_136_0 = 0) | ~ (all_136_3 = 0)
% 23.96/4.34 | | | | |
% 23.96/4.34 | | | | | BETA: splitting (148) gives:
% 23.96/4.34 | | | | |
% 23.96/4.34 | | | | | Case 1:
% 23.96/4.34 | | | | | |
% 23.96/4.34 | | | | | | (155) all_71_6 = nbr_proc
% 23.96/4.34 | | | | | |
% 23.96/4.34 | | | | | | REDUCE: (126), (155) imply:
% 23.96/4.34 | | | | | | (156) $false
% 23.96/4.34 | | | | | |
% 23.96/4.34 | | | | | | CLOSE: (156) is inconsistent.
% 23.96/4.34 | | | | | |
% 23.96/4.34 | | | | | Case 2:
% 23.96/4.34 | | | | | |
% 23.96/4.34 | | | | | | (157) ? [v0: int] : ( ~ (v0 = 0) & leq(nbr_proc, all_71_6) = v0)
% 23.96/4.34 | | | | | |
% 23.96/4.34 | | | | | | DELTA: instantiating (157) with fresh symbol all_141_0 gives:
% 23.96/4.34 | | | | | | (158) ~ (all_141_0 = 0) & leq(nbr_proc, all_71_6) = all_141_0
% 23.96/4.34 | | | | | |
% 23.96/4.34 | | | | | | ALPHA: (158) implies:
% 23.96/4.34 | | | | | | (159) ~ (all_141_0 = 0)
% 23.96/4.34 | | | | | | (160) leq(nbr_proc, all_71_6) = all_141_0
% 23.96/4.34 | | | | | |
% 23.96/4.34 | | | | | | GROUND_INST: instantiating (13) with 0, all_136_3, alive, all_68_9,
% 23.96/4.34 | | | | | | simplifying with (143), (153) gives:
% 23.96/4.34 | | | | | | (161) all_136_3 = 0
% 23.96/4.34 | | | | | |
% 23.96/4.34 | | | | | | BETA: splitting (154) gives:
% 23.96/4.34 | | | | | |
% 23.96/4.34 | | | | | | Case 1:
% 23.96/4.34 | | | | | | |
% 23.96/4.34 | | | | | | |
% 23.96/4.34 | | | | | | | GROUND_INST: instantiating (39) with all_71_8, all_71_7, all_68_1,
% 23.96/4.34 | | | | | | | nbr_proc, all_71_6, all_141_0, simplifying with (46),
% 23.96/4.34 | | | | | | | (47), (61), (67), (111), (160) gives:
% 23.96/4.34 | | | | | | | (162) all_141_0 = 0 | ? [v0: any] : ? [v1: $i] : ? [v2: $i]
% 23.96/4.34 | | | | | | | : ? [v3: any] : (m_Ack(all_71_7, all_71_8) = v1 &
% 23.96/4.34 | | | | | | | queue(all_68_1) = v2 & elem(v1, v2) = v3 &
% 23.96/4.34 | | | | | | | setIn(all_71_7, alive) = v0 & $i(v2) & $i(v1) & ( ~ (v3
% 23.96/4.34 | | | | | | | = 0) | ~ (v0 = 0)))
% 23.96/4.34 | | | | | | |
% 23.96/4.34 | | | | | | | GROUND_INST: instantiating (38) with all_68_9, all_71_7, all_68_6,
% 23.96/4.34 | | | | | | | all_68_1, all_68_3, all_71_6, simplifying with (30),
% 23.96/4.34 | | | | | | | (47), (61), (67), (142), (144), (147) gives:
% 23.96/4.34 | | | | | | | (163) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: $i]
% 23.96/4.34 | | | | | | | : ? [v4: $i] : (index(status, all_68_1) = v4 &
% 23.96/4.34 | | | | | | | index(status, all_68_6) = v3 & leq(all_68_6, all_68_1)
% 23.96/4.34 | | | | | | | = v0 & setIn(all_71_7, alive) = v2 & setIn(all_68_9,
% 23.96/4.34 | | | | | | | alive) = v1 & $i(v4) & $i(v3) & ( ~ (v4 = elec_2) |
% 23.96/4.34 | | | | | | | ~ (v3 = elec_2) | ~ (v2 = 0) | ~ (v1 = 0) | v0 =
% 23.96/4.34 | | | | | | | 0))
% 23.96/4.34 | | | | | | |
% 23.96/4.34 | | | | | | | GROUND_INST: instantiating (38) with all_71_7, all_71_7, all_68_1,
% 23.96/4.34 | | | | | | | all_68_1, all_71_6, all_71_6, simplifying with (47),
% 23.96/4.34 | | | | | | | (61), (67), (146) gives:
% 23.96/4.34 | | | | | | | (164) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: $i]
% 23.96/4.34 | | | | | | | : ? [v4: $i] : (index(status, all_68_1) = v4 &
% 23.96/4.34 | | | | | | | index(status, all_68_1) = v3 & leq(all_68_1, all_68_1)
% 23.96/4.34 | | | | | | | = v0 & setIn(all_71_7, alive) = v2 & setIn(all_71_7,
% 23.96/4.34 | | | | | | | alive) = v1 & $i(v4) & $i(v3) & ( ~ (v4 = elec_2) |
% 23.96/4.34 | | | | | | | ~ (v3 = elec_2) | ~ (v2 = 0) | ~ (v1 = 0) | v0 =
% 23.96/4.34 | | | | | | | 0))
% 23.96/4.34 | | | | | | |
% 23.96/4.34 | | | | | | | DELTA: instantiating (164) with fresh symbols all_156_0,
% 23.96/4.34 | | | | | | | all_156_1, all_156_2, all_156_3, all_156_4 gives:
% 23.96/4.34 | | | | | | | (165) index(status, all_68_1) = all_156_0 & index(status,
% 23.96/4.34 | | | | | | | all_68_1) = all_156_1 & leq(all_68_1, all_68_1) =
% 23.96/4.34 | | | | | | | all_156_4 & setIn(all_71_7, alive) = all_156_2 &
% 23.96/4.34 | | | | | | | setIn(all_71_7, alive) = all_156_3 & $i(all_156_0) &
% 23.96/4.34 | | | | | | | $i(all_156_1) & ( ~ (all_156_0 = elec_2) | ~ (all_156_1
% 23.96/4.34 | | | | | | | = elec_2) | ~ (all_156_2 = 0) | ~ (all_156_3 = 0) |
% 23.96/4.34 | | | | | | | all_156_4 = 0)
% 23.96/4.34 | | | | | | |
% 23.96/4.34 | | | | | | | ALPHA: (165) implies:
% 23.96/4.34 | | | | | | | (166) setIn(all_71_7, alive) = all_156_3
% 23.96/4.34 | | | | | | | (167) setIn(all_71_7, alive) = all_156_2
% 23.96/4.34 | | | | | | | (168) leq(all_68_1, all_68_1) = all_156_4
% 23.96/4.34 | | | | | | | (169) index(status, all_68_1) = all_156_1
% 23.96/4.34 | | | | | | | (170) index(status, all_68_1) = all_156_0
% 23.96/4.34 | | | | | | | (171) ~ (all_156_0 = elec_2) | ~ (all_156_1 = elec_2) | ~
% 23.96/4.34 | | | | | | | (all_156_2 = 0) | ~ (all_156_3 = 0) | all_156_4 = 0
% 23.96/4.34 | | | | | | |
% 23.96/4.34 | | | | | | | DELTA: instantiating (163) with fresh symbols all_158_0,
% 23.96/4.34 | | | | | | | all_158_1, all_158_2, all_158_3, all_158_4 gives:
% 23.96/4.34 | | | | | | | (172) index(status, all_68_1) = all_158_0 & index(status,
% 23.96/4.34 | | | | | | | all_68_6) = all_158_1 & leq(all_68_6, all_68_1) =
% 23.96/4.34 | | | | | | | all_158_4 & setIn(all_71_7, alive) = all_158_2 &
% 23.96/4.34 | | | | | | | setIn(all_68_9, alive) = all_158_3 & $i(all_158_0) &
% 23.96/4.34 | | | | | | | $i(all_158_1) & ( ~ (all_158_0 = elec_2) | ~ (all_158_1
% 23.96/4.34 | | | | | | | = elec_2) | ~ (all_158_2 = 0) | ~ (all_158_3 = 0) |
% 23.96/4.34 | | | | | | | all_158_4 = 0)
% 23.96/4.34 | | | | | | |
% 23.96/4.34 | | | | | | | ALPHA: (172) implies:
% 23.96/4.34 | | | | | | | (173) setIn(all_68_9, alive) = all_158_3
% 23.96/4.34 | | | | | | | (174) setIn(all_71_7, alive) = all_158_2
% 23.96/4.34 | | | | | | | (175) leq(all_68_6, all_68_1) = all_158_4
% 23.96/4.34 | | | | | | | (176) index(status, all_68_6) = all_158_1
% 23.96/4.34 | | | | | | | (177) index(status, all_68_1) = all_158_0
% 23.96/4.34 | | | | | | | (178) ~ (all_158_0 = elec_2) | ~ (all_158_1 = elec_2) | ~
% 23.96/4.34 | | | | | | | (all_158_2 = 0) | ~ (all_158_3 = 0) | all_158_4 = 0
% 23.96/4.34 | | | | | | |
% 23.96/4.34 | | | | | | | BETA: splitting (162) gives:
% 23.96/4.34 | | | | | | |
% 23.96/4.34 | | | | | | | Case 1:
% 23.96/4.34 | | | | | | | |
% 23.96/4.34 | | | | | | | | (179) all_141_0 = 0
% 23.96/4.34 | | | | | | | |
% 23.96/4.34 | | | | | | | | REDUCE: (159), (179) imply:
% 23.96/4.34 | | | | | | | | (180) $false
% 23.96/4.34 | | | | | | | |
% 23.96/4.34 | | | | | | | | CLOSE: (180) is inconsistent.
% 23.96/4.34 | | | | | | | |
% 23.96/4.34 | | | | | | | Case 2:
% 23.96/4.34 | | | | | | | |
% 23.96/4.34 | | | | | | | | (181) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: any]
% 23.96/4.34 | | | | | | | | : (m_Ack(all_71_7, all_71_8) = v1 & queue(all_68_1) =
% 23.96/4.34 | | | | | | | | v2 & elem(v1, v2) = v3 & setIn(all_71_7, alive) = v0
% 23.96/4.34 | | | | | | | | & $i(v2) & $i(v1) & ( ~ (v3 = 0) | ~ (v0 = 0)))
% 23.96/4.34 | | | | | | | |
% 23.96/4.34 | | | | | | | | DELTA: instantiating (181) with fresh symbols all_169_0,
% 23.96/4.34 | | | | | | | | all_169_1, all_169_2, all_169_3 gives:
% 23.96/4.34 | | | | | | | | (182) m_Ack(all_71_7, all_71_8) = all_169_2 & queue(all_68_1)
% 23.96/4.34 | | | | | | | | = all_169_1 & elem(all_169_2, all_169_1) = all_169_0 &
% 23.96/4.34 | | | | | | | | setIn(all_71_7, alive) = all_169_3 & $i(all_169_1) &
% 23.96/4.34 | | | | | | | | $i(all_169_2) & ( ~ (all_169_0 = 0) | ~ (all_169_3 =
% 23.96/4.34 | | | | | | | | 0))
% 23.96/4.34 | | | | | | | |
% 23.96/4.34 | | | | | | | | ALPHA: (182) implies:
% 23.96/4.34 | | | | | | | | (183) setIn(all_71_7, alive) = all_169_3
% 23.96/4.34 | | | | | | | | (184) queue(all_68_1) = all_169_1
% 23.96/4.34 | | | | | | | |
% 23.96/4.34 | | | | | | | | GROUND_INST: instantiating (13) with 0, all_158_3, alive,
% 23.96/4.34 | | | | | | | | all_68_9, simplifying with (143), (173) gives:
% 23.96/4.34 | | | | | | | | (185) all_158_3 = 0
% 23.96/4.34 | | | | | | | |
% 23.96/4.34 | | | | | | | | GROUND_INST: instantiating (13) with 0, all_158_2, alive,
% 23.96/4.34 | | | | | | | | all_71_7, simplifying with (54), (174) gives:
% 23.96/4.34 | | | | | | | | (186) all_158_2 = 0
% 23.96/4.34 | | | | | | | |
% 23.96/4.34 | | | | | | | | GROUND_INST: instantiating (13) with all_156_3, all_158_2,
% 23.96/4.34 | | | | | | | | alive, all_71_7, simplifying with (166), (174)
% 23.96/4.34 | | | | | | | | gives:
% 23.96/4.35 | | | | | | | | (187) all_158_2 = all_156_3
% 23.96/4.35 | | | | | | | |
% 23.96/4.35 | | | | | | | | GROUND_INST: instantiating (13) with all_158_2, all_169_3,
% 23.96/4.35 | | | | | | | | alive, all_71_7, simplifying with (174), (183)
% 23.96/4.35 | | | | | | | | gives:
% 23.96/4.35 | | | | | | | | (188) all_169_3 = all_158_2
% 23.96/4.35 | | | | | | | |
% 23.96/4.35 | | | | | | | | GROUND_INST: instantiating (13) with all_156_2, all_169_3,
% 23.96/4.35 | | | | | | | | alive, all_71_7, simplifying with (167), (183)
% 23.96/4.35 | | | | | | | | gives:
% 23.96/4.35 | | | | | | | | (189) all_169_3 = all_156_2
% 23.96/4.35 | | | | | | | |
% 23.96/4.35 | | | | | | | | GROUND_INST: instantiating (9) with all_71_3, all_169_1,
% 23.96/4.35 | | | | | | | | all_68_1, simplifying with (57), (184) gives:
% 23.96/4.35 | | | | | | | | (190) all_169_1 = all_71_3
% 23.96/4.35 | | | | | | | |
% 23.96/4.35 | | | | | | | | GROUND_INST: instantiating (15) with elec_2, all_158_1,
% 23.96/4.35 | | | | | | | | all_68_6, status, simplifying with (31), (176)
% 23.96/4.35 | | | | | | | | gives:
% 23.96/4.35 | | | | | | | | (191) all_158_1 = elec_2
% 23.96/4.35 | | | | | | | |
% 23.96/4.35 | | | | | | | | GROUND_INST: instantiating (15) with elec_2, all_158_0,
% 23.96/4.35 | | | | | | | | all_68_1, status, simplifying with (68), (177)
% 23.96/4.35 | | | | | | | | gives:
% 23.96/4.35 | | | | | | | | (192) all_158_0 = elec_2
% 23.96/4.35 | | | | | | | |
% 23.96/4.35 | | | | | | | | GROUND_INST: instantiating (15) with all_156_0, all_158_0,
% 23.96/4.35 | | | | | | | | all_68_1, status, simplifying with (170), (177)
% 23.96/4.35 | | | | | | | | gives:
% 23.96/4.35 | | | | | | | | (193) all_158_0 = all_156_0
% 23.96/4.35 | | | | | | | |
% 23.96/4.35 | | | | | | | | GROUND_INST: instantiating (15) with all_156_1, all_158_0,
% 23.96/4.35 | | | | | | | | all_68_1, status, simplifying with (169), (177)
% 23.96/4.35 | | | | | | | | gives:
% 23.96/4.35 | | | | | | | | (194) all_158_0 = all_156_1
% 23.96/4.35 | | | | | | | |
% 23.96/4.35 | | | | | | | | COMBINE_EQS: (188), (189) imply:
% 23.96/4.35 | | | | | | | | (195) all_158_2 = all_156_2
% 23.96/4.35 | | | | | | | |
% 23.96/4.35 | | | | | | | | SIMP: (195) implies:
% 23.96/4.35 | | | | | | | | (196) all_158_2 = all_156_2
% 23.96/4.35 | | | | | | | |
% 23.96/4.35 | | | | | | | | COMBINE_EQS: (193), (194) imply:
% 23.96/4.35 | | | | | | | | (197) all_156_0 = all_156_1
% 23.96/4.35 | | | | | | | |
% 23.96/4.35 | | | | | | | | COMBINE_EQS: (192), (193) imply:
% 23.96/4.35 | | | | | | | | (198) all_156_0 = elec_2
% 23.96/4.35 | | | | | | | |
% 23.96/4.35 | | | | | | | | COMBINE_EQS: (186), (196) imply:
% 23.96/4.35 | | | | | | | | (199) all_156_2 = 0
% 23.96/4.35 | | | | | | | |
% 23.96/4.35 | | | | | | | | COMBINE_EQS: (187), (196) imply:
% 23.96/4.35 | | | | | | | | (200) all_156_2 = all_156_3
% 23.96/4.35 | | | | | | | |
% 23.96/4.35 | | | | | | | | COMBINE_EQS: (197), (198) imply:
% 23.96/4.35 | | | | | | | | (201) all_156_1 = elec_2
% 23.96/4.35 | | | | | | | |
% 23.96/4.35 | | | | | | | | COMBINE_EQS: (199), (200) imply:
% 23.96/4.35 | | | | | | | | (202) all_156_3 = 0
% 23.96/4.35 | | | | | | | |
% 23.96/4.35 | | | | | | | | BETA: splitting (171) gives:
% 23.96/4.35 | | | | | | | |
% 23.96/4.35 | | | | | | | | Case 1:
% 23.96/4.35 | | | | | | | | |
% 23.96/4.35 | | | | | | | | | (203) ~ (all_156_0 = elec_2)
% 23.96/4.35 | | | | | | | | |
% 23.96/4.35 | | | | | | | | | REDUCE: (198), (203) imply:
% 23.96/4.35 | | | | | | | | | (204) $false
% 23.96/4.35 | | | | | | | | |
% 23.96/4.35 | | | | | | | | | CLOSE: (204) is inconsistent.
% 23.96/4.35 | | | | | | | | |
% 23.96/4.35 | | | | | | | | Case 2:
% 23.96/4.35 | | | | | | | | |
% 23.96/4.35 | | | | | | | | | (205) ~ (all_156_1 = elec_2) | ~ (all_156_2 = 0) | ~
% 23.96/4.35 | | | | | | | | | (all_156_3 = 0) | all_156_4 = 0
% 23.96/4.35 | | | | | | | | |
% 23.96/4.35 | | | | | | | | | BETA: splitting (205) gives:
% 23.96/4.35 | | | | | | | | |
% 23.96/4.35 | | | | | | | | | Case 1:
% 23.96/4.35 | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | (206) ~ (all_156_1 = elec_2)
% 23.96/4.35 | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | REDUCE: (201), (206) imply:
% 23.96/4.35 | | | | | | | | | | (207) $false
% 23.96/4.35 | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | CLOSE: (207) is inconsistent.
% 23.96/4.35 | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | Case 2:
% 23.96/4.35 | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | (208) ~ (all_156_2 = 0) | ~ (all_156_3 = 0) | all_156_4
% 23.96/4.35 | | | | | | | | | | = 0
% 23.96/4.35 | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | BETA: splitting (178) gives:
% 23.96/4.35 | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | Case 1:
% 23.96/4.35 | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | (209) ~ (all_158_0 = elec_2)
% 23.96/4.35 | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | REDUCE: (192), (209) imply:
% 23.96/4.35 | | | | | | | | | | | (210) $false
% 23.96/4.35 | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | CLOSE: (210) is inconsistent.
% 23.96/4.35 | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | Case 2:
% 23.96/4.35 | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | (211) ~ (all_158_1 = elec_2) | ~ (all_158_2 = 0) | ~
% 23.96/4.35 | | | | | | | | | | | (all_158_3 = 0) | all_158_4 = 0
% 23.96/4.35 | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | BETA: splitting (208) gives:
% 23.96/4.35 | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | Case 1:
% 23.96/4.35 | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | (212) ~ (all_156_2 = 0)
% 23.96/4.35 | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | REDUCE: (199), (212) imply:
% 23.96/4.35 | | | | | | | | | | | | (213) $false
% 23.96/4.35 | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | CLOSE: (213) is inconsistent.
% 23.96/4.35 | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | Case 2:
% 23.96/4.35 | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | (214) ~ (all_156_3 = 0) | all_156_4 = 0
% 23.96/4.35 | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | BETA: splitting (214) gives:
% 23.96/4.35 | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | Case 1:
% 23.96/4.35 | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | (215) ~ (all_156_3 = 0)
% 23.96/4.35 | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | REDUCE: (202), (215) imply:
% 23.96/4.35 | | | | | | | | | | | | | (216) $false
% 23.96/4.35 | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | CLOSE: (216) is inconsistent.
% 23.96/4.35 | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | Case 2:
% 23.96/4.35 | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | (217) all_156_4 = 0
% 23.96/4.35 | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | REDUCE: (168), (217) imply:
% 23.96/4.35 | | | | | | | | | | | | | (218) leq(all_68_1, all_68_1) = 0
% 23.96/4.35 | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | BETA: splitting (211) gives:
% 23.96/4.35 | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | Case 1:
% 23.96/4.35 | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | (219) ~ (all_158_1 = elec_2)
% 23.96/4.35 | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | REDUCE: (191), (219) imply:
% 23.96/4.35 | | | | | | | | | | | | | | (220) $false
% 23.96/4.35 | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | CLOSE: (220) is inconsistent.
% 23.96/4.35 | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | Case 2:
% 23.96/4.35 | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | (221) ~ (all_158_2 = 0) | ~ (all_158_3 = 0) |
% 23.96/4.35 | | | | | | | | | | | | | | all_158_4 = 0
% 23.96/4.35 | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 23.96/4.35 | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | Case 1:
% 23.96/4.35 | | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | | (222) ~ (all_158_2 = 0)
% 23.96/4.35 | | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | | REDUCE: (186), (222) imply:
% 23.96/4.35 | | | | | | | | | | | | | | | (223) $false
% 23.96/4.35 | | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | | CLOSE: (223) is inconsistent.
% 23.96/4.35 | | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | Case 2:
% 23.96/4.35 | | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | | (224) ~ (all_158_3 = 0) | all_158_4 = 0
% 23.96/4.35 | | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 23.96/4.35 | | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | | Case 1:
% 23.96/4.35 | | | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | | | (225) ~ (all_158_3 = 0)
% 23.96/4.35 | | | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | | | REDUCE: (185), (225) imply:
% 23.96/4.35 | | | | | | | | | | | | | | | | (226) $false
% 23.96/4.35 | | | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | | | CLOSE: (226) is inconsistent.
% 23.96/4.35 | | | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | | Case 2:
% 23.96/4.35 | | | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | | | (227) all_158_4 = 0
% 23.96/4.35 | | | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | | | REDUCE: (175), (227) imply:
% 23.96/4.35 | | | | | | | | | | | | | | | | (228) leq(all_68_6, all_68_1) = 0
% 23.96/4.35 | | | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_68_6, all_68_3,
% 23.96/4.35 | | | | | | | | | | | | | | | | all_68_1, simplifying with (22), (27), (131),
% 23.96/4.35 | | | | | | | | | | | | | | | | (228) gives:
% 23.96/4.35 | | | | | | | | | | | | | | | | (229) all_68_1 = all_68_6 | leq(all_68_6, all_68_3) = 0
% 23.96/4.35 | | | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_68_6, all_68_1,
% 23.96/4.35 | | | | | | | | | | | | | | | | simplifying with (131), (132), (228) gives:
% 23.96/4.35 | | | | | | | | | | | | | | | | (230) all_68_1 = all_68_6 | ? [v0: int] : ( ~ (v0 = 0)
% 23.96/4.35 | | | | | | | | | | | | | | | | & leq(all_68_1, all_68_6) = v0)
% 23.96/4.35 | | | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (5) with all_68_3, all_68_3,
% 23.96/4.35 | | | | | | | | | | | | | | | | all_68_1, all_68_1, simplifying with (22), (27),
% 23.96/4.35 | | | | | | | | | | | | | | | | (218) gives:
% 23.96/4.35 | | | | | | | | | | | | | | | | (231) leq(all_68_3, all_68_3) = 0
% 23.96/4.35 | | | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 23.96/4.35 | | | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | | | Case 1:
% 23.96/4.35 | | | | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | | | | (232) leq(all_68_6, all_68_3) = 0
% 23.96/4.35 | | | | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 23.96/4.35 | | | | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | | | | Case 1:
% 23.96/4.35 | | | | | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | | | | | (233) all_68_1 = all_68_6
% 23.96/4.35 | | | | | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | | | | | REDUCE: (43), (233) imply:
% 23.96/4.35 | | | | | | | | | | | | | | | | | | (234) $false
% 23.96/4.35 | | | | | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | | | | | CLOSE: (234) is inconsistent.
% 23.96/4.35 | | | | | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | | | | Case 2:
% 23.96/4.35 | | | | | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | | | | | (235) ? [v0: int] : ( ~ (v0 = 0) & leq(all_68_1,
% 23.96/4.35 | | | | | | | | | | | | | | | | | | all_68_6) = v0)
% 23.96/4.35 | | | | | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | | | | | DELTA: instantiating (235) with fresh symbol all_225_0
% 23.96/4.35 | | | | | | | | | | | | | | | | | | gives:
% 23.96/4.35 | | | | | | | | | | | | | | | | | | (236) ~ (all_225_0 = 0) & leq(all_68_1, all_68_6) =
% 23.96/4.35 | | | | | | | | | | | | | | | | | | all_225_0
% 23.96/4.35 | | | | | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | | | | | ALPHA: (236) implies:
% 23.96/4.35 | | | | | | | | | | | | | | | | | | (237) ~ (all_225_0 = 0)
% 23.96/4.35 | | | | | | | | | | | | | | | | | | (238) leq(all_68_1, all_68_6) = all_225_0
% 23.96/4.35 | | | | | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | | | | | BETA: splitting (87) gives:
% 23.96/4.35 | | | | | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | | | | | Case 1:
% 23.96/4.35 | | | | | | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | | | | | | (239) elem(all_71_1, all_71_3) = 0
% 23.96/4.35 | | | | | | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 23.96/4.35 | | | | | | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | | | | | | Case 1:
% 23.96/4.35 | | | | | | | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | | | | | | | (240) elem(all_71_4, all_71_3) = 0
% 23.96/4.35 | | | | | | | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | | | | | | | BETA: splitting (72) gives:
% 23.96/4.35 | | | | | | | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | | | | | | | Case 1:
% 23.96/4.35 | | | | | | | | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | | | | | | | | (241) all_71_10 = all_68_8
% 23.96/4.35 | | | | | | | | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (139), (241) imply:
% 23.96/4.35 | | | | | | | | | | | | | | | | | | | | | (242) all_71_10 = all_68_9
% 23.96/4.35 | | | | | | | | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (242) imply:
% 23.96/4.35 | | | | | | | | | | | | | | | | | | | | | (243) host(all_68_9) = all_71_0
% 23.96/4.35 | | | | | | | | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_68_6, all_71_0,
% 23.96/4.35 | | | | | | | | | | | | | | | | | | | | | all_68_9, simplifying with (142), (243) gives:
% 23.96/4.35 | | | | | | | | | | | | | | | | | | | | | (244) all_71_0 = all_68_6
% 23.96/4.35 | | | | | | | | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | | | | | | | | REDUCE: (69), (244) imply:
% 23.96/4.35 | | | | | | | | | | | | | | | | | | | | | (245) index(status, all_68_6) = norm
% 23.96/4.35 | | | | | | | | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with elec_2, norm, all_68_6,
% 23.96/4.35 | | | | | | | | | | | | | | | | | | | | | status, simplifying with (31), (245) gives:
% 23.96/4.35 | | | | | | | | | | | | | | | | | | | | | (246) norm = elec_2
% 23.96/4.35 | | | | | | | | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2), (246) imply:
% 23.96/4.35 | | | | | | | | | | | | | | | | | | | | | (247) $false
% 23.96/4.35 | | | | | | | | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | | | | | | | | CLOSE: (247) is inconsistent.
% 23.96/4.35 | | | | | | | | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | | | | | | | Case 2:
% 23.96/4.35 | | | | | | | | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | | | | | | | | (248) ~ (all_71_10 = all_68_8)
% 23.96/4.35 | | | | | | | | | | | | | | | | | | | | | (249) ? [v0: $i] : ? [v1: $i] : ( ~ (v1 = v0) &
% 23.96/4.35 | | | | | | | | | | | | | | | | | | | | | host(all_71_10) = v0 & host(all_68_8) = v1 &
% 23.96/4.35 | | | | | | | | | | | | | | | | | | | | | $i(v1) & $i(v0))
% 23.96/4.35 | | | | | | | | | | | | | | | | | | | | |
% 23.96/4.35 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (249) with fresh symbols all_245_0,
% 23.96/4.35 | | | | | | | | | | | | | | | | | | | | | all_245_1 gives:
% 23.96/4.36 | | | | | | | | | | | | | | | | | | | | | (250) ~ (all_245_0 = all_245_1) & host(all_71_10) =
% 23.96/4.36 | | | | | | | | | | | | | | | | | | | | | all_245_1 & host(all_68_8) = all_245_0 &
% 23.96/4.36 | | | | | | | | | | | | | | | | | | | | | $i(all_245_0) & $i(all_245_1)
% 23.96/4.36 | | | | | | | | | | | | | | | | | | | | |
% 23.96/4.36 | | | | | | | | | | | | | | | | | | | | | ALPHA: (250) implies:
% 23.96/4.36 | | | | | | | | | | | | | | | | | | | | | (251) $i(all_245_0)
% 23.96/4.36 | | | | | | | | | | | | | | | | | | | | | (252) host(all_68_8) = all_245_0
% 23.96/4.36 | | | | | | | | | | | | | | | | | | | | | (253) host(all_71_10) = all_245_1
% 23.96/4.36 | | | | | | | | | | | | | | | | | | | | |
% 23.96/4.36 | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (248) imply:
% 23.96/4.36 | | | | | | | | | | | | | | | | | | | | | (254) ~ (all_71_10 = all_68_9)
% 23.96/4.36 | | | | | | | | | | | | | | | | | | | | |
% 23.96/4.36 | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (252) imply:
% 23.96/4.36 | | | | | | | | | | | | | | | | | | | | | (255) host(all_68_9) = all_245_0
% 23.96/4.36 | | | | | | | | | | | | | | | | | | | | |
% 23.96/4.36 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 23.96/4.36 | | | | | | | | | | | | | | | | | | | | |
% 23.96/4.36 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 23.96/4.36 | | | | | | | | | | | | | | | | | | | | | |
% 23.96/4.36 | | | | | | | | | | | | | | | | | | | | | | (256) all_71_10 = all_68_8
% 23.96/4.36 | | | | | | | | | | | | | | | | | | | | | |
% 23.96/4.36 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (139), (256) imply:
% 23.96/4.36 | | | | | | | | | | | | | | | | | | | | | | (257) all_71_10 = all_68_9
% 23.96/4.36 | | | | | | | | | | | | | | | | | | | | | |
% 23.96/4.36 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (254), (257) imply:
% 23.96/4.36 | | | | | | | | | | | | | | | | | | | | | | (258) $false
% 23.96/4.36 | | | | | | | | | | | | | | | | | | | | | |
% 23.96/4.36 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (258) is inconsistent.
% 23.96/4.36 | | | | | | | | | | | | | | | | | | | | | |
% 23.96/4.36 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 23.96/4.36 | | | | | | | | | | | | | | | | | | | | | |
% 23.96/4.36 | | | | | | | | | | | | | | | | | | | | | | (259) ? [v0: $i] : ? [v1: $i] : ( ~ (v1 = v0) &
% 23.96/4.36 | | | | | | | | | | | | | | | | | | | | | | host(all_71_10) = v1 & host(all_68_8) = v0 &
% 23.96/4.36 | | | | | | | | | | | | | | | | | | | | | | $i(v1) & $i(v0))
% 23.96/4.36 | | | | | | | | | | | | | | | | | | | | | |
% 23.96/4.36 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (259) with fresh symbols all_251_0,
% 23.96/4.36 | | | | | | | | | | | | | | | | | | | | | | all_251_1 gives:
% 23.96/4.36 | | | | | | | | | | | | | | | | | | | | | | (260) ~ (all_251_0 = all_251_1) & host(all_71_10) =
% 23.96/4.36 | | | | | | | | | | | | | | | | | | | | | | all_251_0 & host(all_68_8) = all_251_1 &
% 23.96/4.36 | | | | | | | | | | | | | | | | | | | | | | $i(all_251_0) & $i(all_251_1)
% 23.96/4.36 | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (260) implies:
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | (261) host(all_68_8) = all_251_1
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | (262) host(all_71_10) = all_251_0
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (261) imply:
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | (263) host(all_68_9) = all_251_1
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_68_6, all_251_1,
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | all_68_9, simplifying with (142), (263) gives:
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | (264) all_251_1 = all_68_6
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_245_0, all_251_1,
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | all_68_9, simplifying with (255), (263) gives:
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | (265) all_251_1 = all_245_0
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_71_0, all_251_0,
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | all_71_10, simplifying with (58), (262) gives:
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | (266) all_251_0 = all_71_0
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_245_1, all_251_0,
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | all_71_10, simplifying with (253), (262) gives:
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | (267) all_251_0 = all_245_1
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (266), (267) imply:
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | (268) all_245_1 = all_71_0
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (265) imply:
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | (269) all_245_0 = all_68_6
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | (270) all_71_7 = all_71_10
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (270) imply:
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | (271) host(all_71_10) = all_68_1
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_71_0, all_68_1,
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | all_71_10, simplifying with (58), (271) gives:
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | (272) all_71_0 = all_68_1
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (69), (272) imply:
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | (273) index(status, all_68_1) = norm
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with elec_2, norm, all_68_1,
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | status, simplifying with (68), (273) gives:
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | (274) norm = elec_2
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2), (274) imply:
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | (275) $false
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (275) is inconsistent.
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | (276) ~ (all_71_7 = all_71_10)
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | (277) ? [v0: $i] : ? [v1: $i] : ( ~ (v1 = v0) &
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | host(all_71_7) = v1 & host(all_71_10) = v0 &
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | $i(v1) & $i(v0))
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (277) with fresh symbols all_263_0,
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | all_263_1 gives:
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | (278) ~ (all_263_0 = all_263_1) & host(all_71_7) =
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | all_263_0 & host(all_71_10) = all_263_1 &
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | $i(all_263_0) & $i(all_263_1)
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (278) implies:
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | (279) $i(all_263_0)
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | (280) host(all_71_10) = all_263_1
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | (281) host(all_71_7) = all_263_0
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (75) gives:
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | (282) all_71_7 = all_71_10
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (276), (282) imply:
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | (283) $false
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (283) is inconsistent.
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | (284) ? [v0: $i] : ? [v1: $i] : ( ~ (v1 = v0) &
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | host(all_71_7) = v0 & host(all_71_10) = v1 &
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | $i(v1) & $i(v0))
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (284) with fresh symbols all_269_0,
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | all_269_1 gives:
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | (285) ~ (all_269_0 = all_269_1) & host(all_71_7) =
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | all_269_1 & host(all_71_10) = all_269_0 &
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_269_0) & $i(all_269_1)
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (285) implies:
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | (286) host(all_71_10) = all_269_0
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | (287) host(all_71_7) = all_269_1
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_71_0, all_269_0,
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | all_71_10, simplifying with (58), (286) gives:
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | (288) all_269_0 = all_71_0
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_263_1, all_269_0,
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | all_71_10, simplifying with (280), (286) gives:
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | (289) all_269_0 = all_263_1
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_68_1, all_269_1,
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | all_71_7, simplifying with (61), (287) gives:
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | (290) all_269_1 = all_68_1
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_263_0, all_269_1,
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | all_71_7, simplifying with (281), (287) gives:
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | (291) all_269_1 = all_263_0
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (288), (289) imply:
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | (292) all_263_1 = all_71_0
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (291) imply:
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | (293) all_263_0 = all_68_1
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (37) with all_71_7, all_71_8,
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | all_71_7, all_71_4, all_68_1, all_71_3,
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (46), (47), (54), (57), (61),
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | (65), (240) gives:
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | (294) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3:
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | $i] : ? [v4: $i] : (index(ldr, v2) = v3 &
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | index(status, v2) = v4 & host(all_71_7) = v2 &
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | host(all_71_8) = v1 & setIn(all_71_7, alive) =
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | v0 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & ( ~ (v4
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | = norm) | ~ (v3 = v1) | ~ (v2 = v1) | ~
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (37) with all_71_10, all_71_8,
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | all_71_7, all_71_4, all_68_1, all_71_3,
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (44), (46), (47), (53), (57),
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | (61), (65), (240) gives:
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | (295) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3:
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | $i] : ? [v4: $i] : (index(ldr, v2) = v3 &
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | index(status, v2) = v4 & host(all_71_8) = v1 &
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | host(all_71_10) = v2 & setIn(all_71_7, alive) =
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | v0 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & ( ~ (v4
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | = norm) | ~ (v3 = v1) | ~ (v2 = v1) | ~
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (37) with all_68_9, all_71_8,
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | all_71_7, all_71_4, all_68_1, all_71_3,
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (46), (47), (57), (61), (65),
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | (143), (144), (240) gives:
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | (296) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3:
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | $i] : ? [v4: $i] : (index(ldr, v2) = v3 &
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | index(status, v2) = v4 & host(all_71_8) = v1 &
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | host(all_68_9) = v2 & setIn(all_71_7, alive) =
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | v0 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & ( ~ (v4
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | = norm) | ~ (v3 = v1) | ~ (v2 = v1) | ~
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (35) with all_71_7, all_71_8,
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | all_71_4, all_68_1, all_71_3, simplifying with
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | (46), (47), (57), (61), (65), (240) gives:
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | (297) ? [v0: any] : ( ~ (v0 = all_68_1) &
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | host(all_71_8) = v0 & $i(v0))
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_71_7, all_71_9,
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | all_71_8, all_71_7, all_71_4, all_68_1, all_71_3,
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | all_71_1, simplifying with (45), (46), (47), (54),
% 24.48/4.36 | | | | | | | | | | | | | | | | | | | | | | | | (57), (61), (62), (65), (239), (240) gives:
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (298) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3:
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | any] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] :
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (index(ldr, v7) = v8 & index(status, v7) = v9 &
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | index(status, all_68_1) = v4 & index(pendack,
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | all_68_1) = v1 & leq(nbr_proc, v2) = v3 &
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | s(v1) = v2 & host(all_71_7) = v7 &
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | host(all_71_8) = v6 & host(all_71_9) = v5 &
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | setIn(all_71_7, alive) = v0 & $i(v9) & $i(v8) &
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v2) &
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | $i(v1) & ( ~ (v9 = norm) | ~ (v8 = v7) | ~ (v6
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | = v2) | ~ (v5 = v1) | ~ (v4 = elec_2) | ~
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (v3 = 0) | ~ (v0 = 0)))
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_71_10, all_71_9,
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | all_71_8, all_71_7, all_71_4, all_68_1, all_71_3,
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | all_71_1, simplifying with (44), (45), (46), (47),
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (53), (57), (61), (62), (65), (239), (240) gives:
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (299) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3:
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | any] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] :
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (index(ldr, v7) = v8 & index(status, v7) = v9 &
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | index(status, all_68_1) = v4 & index(pendack,
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | all_68_1) = v1 & leq(nbr_proc, v2) = v3 &
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | s(v1) = v2 & host(all_71_8) = v6 &
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | host(all_71_9) = v5 & host(all_71_10) = v7 &
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | setIn(all_71_7, alive) = v0 & $i(v9) & $i(v8) &
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v2) &
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | $i(v1) & ( ~ (v9 = norm) | ~ (v8 = v7) | ~ (v6
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | = v2) | ~ (v5 = v1) | ~ (v4 = elec_2) | ~
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (v3 = 0) | ~ (v0 = 0)))
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_68_9, all_71_9,
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | all_71_8, all_71_7, all_71_4, all_68_1, all_71_3,
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | all_71_1, simplifying with (45), (46), (47), (57),
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (61), (62), (65), (143), (144), (239), (240)
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (300) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3:
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | any] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] :
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (index(ldr, v7) = v8 & index(status, v7) = v9 &
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | index(status, all_68_1) = v4 & index(pendack,
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | all_68_1) = v1 & leq(nbr_proc, v2) = v3 &
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | s(v1) = v2 & host(all_71_8) = v6 &
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | host(all_71_9) = v5 & host(all_68_9) = v7 &
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | setIn(all_71_7, alive) = v0 & $i(v9) & $i(v8) &
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v2) &
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | $i(v1) & ( ~ (v9 = norm) | ~ (v8 = v7) | ~ (v6
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | = v2) | ~ (v5 = v1) | ~ (v4 = elec_2) | ~
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (v3 = 0) | ~ (v0 = 0)))
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_71_7, all_71_9,
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | all_71_7, all_68_1, all_71_1, all_71_3,
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (45), (47), (54), (57), (61),
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (62), (239) gives:
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (301) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3:
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | $i] : ? [v4: $i] : (index(status, v1) = v4 &
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | index(status, all_68_1) = v3 & host(all_71_7) =
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | v1 & host(all_71_9) = v2 & setIn(all_71_7,
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | alive) = v0 & $i(v4) & $i(v3) & $i(v2) &
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | $i(v1) & ( ~ (v4 = elec_2) | ~ (v3 = elec_2) |
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | ~ (v2 = v1) | ~ (v0 = 0)))
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_71_7, all_71_9,
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | all_68_9, all_68_1, all_71_1, all_71_3,
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (45), (47), (57), (61), (62),
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (143), (144), (239) gives:
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (302) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3:
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | $i] : ? [v4: $i] : (index(status, v1) = v4 &
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | index(status, all_68_1) = v3 & host(all_71_9) =
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | v2 & host(all_68_9) = v1 & setIn(all_71_7,
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | alive) = v0 & $i(v4) & $i(v3) & $i(v2) &
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | $i(v1) & ( ~ (v4 = elec_2) | ~ (v3 = elec_2) |
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | ~ (v2 = v1) | ~ (v0 = 0)))
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (38) with all_68_9, all_68_9,
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | all_68_6, all_68_6, all_68_3, all_68_3,
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (142), (144), (231) gives:
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (303) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : ? [v4: $i] : (index(status, all_68_6)
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | = v4 & index(status, all_68_6) = v3 &
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | leq(all_68_6, all_68_6) = v0 & setIn(all_68_9,
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | alive) = v2 & setIn(all_68_9, alive) = v1 &
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | $i(v4) & $i(v3) & ( ~ (v4 = elec_2) | ~ (v3 =
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | elec_2) | ~ (v2 = 0) | ~ (v1 = 0) | v0 =
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | 0))
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (axiom_62) with all_68_1, nbr_proc,
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | all_68_6, all_225_0, simplifying with (7), (82),
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (131), (132), (238) gives:
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (304) all_225_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | leq(nbr_proc, all_68_6) = v0)
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (297) with fresh symbol all_289_0
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (305) ~ (all_289_0 = all_68_1) & host(all_71_8) =
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | all_289_0 & $i(all_289_0)
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (305) implies:
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (306) host(all_71_8) = all_289_0
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (303) with fresh symbols all_293_0,
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | all_293_1, all_293_2, all_293_3, all_293_4 gives:
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (307) index(status, all_68_6) = all_293_0 &
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | index(status, all_68_6) = all_293_1 &
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | leq(all_68_6, all_68_6) = all_293_4 &
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | setIn(all_68_9, alive) = all_293_2 &
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | setIn(all_68_9, alive) = all_293_3 & $i(all_293_0)
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_293_1) & ( ~ (all_293_0 = elec_2) | ~
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (all_293_1 = elec_2) | ~ (all_293_2 = 0) | ~
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (all_293_3 = 0) | all_293_4 = 0)
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (307) implies:
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (308) index(status, all_68_6) = all_293_1
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (309) index(status, all_68_6) = all_293_0
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (310) ~ (all_293_0 = elec_2) | ~ (all_293_1 = elec_2)
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_293_2 = 0) | ~ (all_293_3 = 0) |
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | all_293_4 = 0
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (302) with fresh symbols all_295_0,
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | all_295_1, all_295_2, all_295_3, all_295_4 gives:
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (311) index(status, all_295_3) = all_295_0 &
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | index(status, all_68_1) = all_295_1 &
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | host(all_71_9) = all_295_2 & host(all_68_9) =
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | all_295_3 & setIn(all_71_7, alive) = all_295_4 &
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_295_0) & $i(all_295_1) & $i(all_295_2) &
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_295_3) & ( ~ (all_295_0 = elec_2) | ~
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (all_295_1 = elec_2) | ~ (all_295_2 =
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | all_295_3) | ~ (all_295_4 = 0))
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (311) implies:
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (312) setIn(all_71_7, alive) = all_295_4
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (301) with fresh symbols all_297_0,
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | all_297_1, all_297_2, all_297_3, all_297_4 gives:
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (313) index(status, all_297_3) = all_297_0 &
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | index(status, all_68_1) = all_297_1 &
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | host(all_71_7) = all_297_3 & host(all_71_9) =
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | all_297_2 & setIn(all_71_7, alive) = all_297_4 &
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_297_0) & $i(all_297_1) & $i(all_297_2) &
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_297_3) & ( ~ (all_297_0 = elec_2) | ~
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (all_297_1 = elec_2) | ~ (all_297_2 =
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | all_297_3) | ~ (all_297_4 = 0))
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (313) implies:
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (314) setIn(all_71_7, alive) = all_297_4
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (295) with fresh symbols all_299_0,
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | all_299_1, all_299_2, all_299_3, all_299_4 gives:
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (315) index(ldr, all_299_2) = all_299_1 & index(status,
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | all_299_2) = all_299_0 & host(all_71_8) =
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | all_299_3 & host(all_71_10) = all_299_2 &
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | setIn(all_71_7, alive) = all_299_4 & $i(all_299_0)
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_299_1) & $i(all_299_2) & $i(all_299_3) &
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_299_0 = norm) | ~ (all_299_1 =
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | all_299_3) | ~ (all_299_2 = all_299_3) | ~
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (all_299_4 = 0))
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (315) implies:
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (316) setIn(all_71_7, alive) = all_299_4
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (317) host(all_71_10) = all_299_2
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (318) host(all_71_8) = all_299_3
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (319) index(ldr, all_299_2) = all_299_1
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (294) with fresh symbols all_301_0,
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | all_301_1, all_301_2, all_301_3, all_301_4 gives:
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (320) index(ldr, all_301_2) = all_301_1 & index(status,
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | all_301_2) = all_301_0 & host(all_71_7) =
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | all_301_2 & host(all_71_8) = all_301_3 &
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | setIn(all_71_7, alive) = all_301_4 & $i(all_301_0)
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_301_1) & $i(all_301_2) & $i(all_301_3) &
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_301_0 = norm) | ~ (all_301_1 =
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | all_301_3) | ~ (all_301_2 = all_301_3) | ~
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (all_301_4 = 0))
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (320) implies:
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (321) setIn(all_71_7, alive) = all_301_4
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (322) host(all_71_8) = all_301_3
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (296) with fresh symbols all_303_0,
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | all_303_1, all_303_2, all_303_3, all_303_4 gives:
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (323) index(ldr, all_303_2) = all_303_1 & index(status,
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | all_303_2) = all_303_0 & host(all_71_8) =
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | all_303_3 & host(all_68_9) = all_303_2 &
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | setIn(all_71_7, alive) = all_303_4 & $i(all_303_0)
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_303_1) & $i(all_303_2) & $i(all_303_3) &
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_303_0 = norm) | ~ (all_303_1 =
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | all_303_3) | ~ (all_303_2 = all_303_3) | ~
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (all_303_4 = 0))
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (323) implies:
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (324) setIn(all_71_7, alive) = all_303_4
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (325) host(all_71_8) = all_303_3
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (299) with fresh symbols all_305_0,
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | all_305_1, all_305_2, all_305_3, all_305_4,
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | all_305_5, all_305_6, all_305_7, all_305_8,
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | all_305_9 gives:
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (326) index(ldr, all_305_2) = all_305_1 & index(status,
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | all_305_2) = all_305_0 & index(status, all_68_1)
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | = all_305_5 & index(pendack, all_68_1) = all_305_8
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | & leq(nbr_proc, all_305_7) = all_305_6 &
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | s(all_305_8) = all_305_7 & host(all_71_8) =
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | all_305_3 & host(all_71_9) = all_305_4 &
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | host(all_71_10) = all_305_2 & setIn(all_71_7,
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | alive) = all_305_9 & $i(all_305_0) &
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_305_1) & $i(all_305_2) & $i(all_305_3) &
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_305_4) & $i(all_305_5) & $i(all_305_7) &
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_305_8) & ( ~ (all_305_0 = norm) | ~
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (all_305_1 = all_305_2) | ~ (all_305_3 =
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | all_305_7) | ~ (all_305_4 = all_305_8) | ~
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (all_305_5 = elec_2) | ~ (all_305_6 = 0) | ~
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (all_305_9 = 0))
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (326) implies:
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (327) setIn(all_71_7, alive) = all_305_9
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (328) host(all_71_10) = all_305_2
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (329) host(all_71_9) = all_305_4
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (330) host(all_71_8) = all_305_3
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (331) s(all_305_8) = all_305_7
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (332) leq(nbr_proc, all_305_7) = all_305_6
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (333) index(pendack, all_68_1) = all_305_8
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (334) index(status, all_68_1) = all_305_5
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (335) index(status, all_305_2) = all_305_0
% 24.48/4.37 | | | | | | | | | | | | | | | | | | | | | | | | (336) index(ldr, all_305_2) = all_305_1
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | (337) ~ (all_305_0 = norm) | ~ (all_305_1 = all_305_2)
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_305_3 = all_305_7) | ~ (all_305_4 =
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | all_305_8) | ~ (all_305_5 = elec_2) | ~
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | (all_305_6 = 0) | ~ (all_305_9 = 0)
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (298) with fresh symbols all_307_0,
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | all_307_1, all_307_2, all_307_3, all_307_4,
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | all_307_5, all_307_6, all_307_7, all_307_8,
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | all_307_9 gives:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | (338) index(ldr, all_307_2) = all_307_1 & index(status,
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | all_307_2) = all_307_0 & index(status, all_68_1)
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | = all_307_5 & index(pendack, all_68_1) = all_307_8
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | & leq(nbr_proc, all_307_7) = all_307_6 &
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | s(all_307_8) = all_307_7 & host(all_71_7) =
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | all_307_2 & host(all_71_8) = all_307_3 &
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | host(all_71_9) = all_307_4 & setIn(all_71_7,
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | alive) = all_307_9 & $i(all_307_0) &
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_307_1) & $i(all_307_2) & $i(all_307_3) &
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_307_4) & $i(all_307_5) & $i(all_307_7) &
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_307_8) & ( ~ (all_307_0 = norm) | ~
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | (all_307_1 = all_307_2) | ~ (all_307_3 =
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | all_307_7) | ~ (all_307_4 = all_307_8) | ~
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | (all_307_5 = elec_2) | ~ (all_307_6 = 0) | ~
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | (all_307_9 = 0))
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (338) implies:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | (339) setIn(all_71_7, alive) = all_307_9
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | (340) host(all_71_9) = all_307_4
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | (341) host(all_71_8) = all_307_3
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | (342) s(all_307_8) = all_307_7
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | (343) leq(nbr_proc, all_307_7) = all_307_6
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | (344) index(pendack, all_68_1) = all_307_8
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (300) with fresh symbols all_309_0,
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | all_309_1, all_309_2, all_309_3, all_309_4,
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | all_309_5, all_309_6, all_309_7, all_309_8,
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | all_309_9 gives:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | (345) index(ldr, all_309_2) = all_309_1 & index(status,
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | all_309_2) = all_309_0 & index(status, all_68_1)
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | = all_309_5 & index(pendack, all_68_1) = all_309_8
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | & leq(nbr_proc, all_309_7) = all_309_6 &
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | s(all_309_8) = all_309_7 & host(all_71_8) =
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | all_309_3 & host(all_71_9) = all_309_4 &
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | host(all_68_9) = all_309_2 & setIn(all_71_7,
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | alive) = all_309_9 & $i(all_309_0) &
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_309_1) & $i(all_309_2) & $i(all_309_3) &
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_309_4) & $i(all_309_5) & $i(all_309_7) &
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_309_8) & ( ~ (all_309_0 = norm) | ~
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | (all_309_1 = all_309_2) | ~ (all_309_3 =
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | all_309_7) | ~ (all_309_4 = all_309_8) | ~
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | (all_309_5 = elec_2) | ~ (all_309_6 = 0) | ~
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | (all_309_9 = 0))
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (345) implies:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | (346) setIn(all_71_7, alive) = all_309_9
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | (347) host(all_71_9) = all_309_4
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | (348) host(all_71_8) = all_309_3
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | (349) s(all_309_8) = all_309_7
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | (350) leq(nbr_proc, all_309_7) = all_309_6
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | (351) index(pendack, all_68_1) = all_309_8
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (304) gives:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (352) all_225_0 = 0
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (237), (352) imply:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (353) $false
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (353) is inconsistent.
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with 0, all_303_4, alive,
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | all_71_7, simplifying with (54), (324) gives:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (354) all_303_4 = 0
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_301_4, all_305_9,
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | alive, all_71_7, simplifying with (321), (327)
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (355) all_305_9 = all_301_4
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_295_4, all_305_9,
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | alive, all_71_7, simplifying with (312), (327)
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (356) all_305_9 = all_295_4
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_307_9, all_309_9,
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | alive, all_71_7, simplifying with (339), (346)
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (357) all_309_9 = all_307_9
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_303_4, all_309_9,
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | alive, all_71_7, simplifying with (324), (346)
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (358) all_309_9 = all_303_4
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_301_4, all_309_9,
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | alive, all_71_7, simplifying with (321), (346)
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (359) all_309_9 = all_301_4
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_299_4, all_309_9,
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | alive, all_71_7, simplifying with (316), (346)
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (360) all_309_9 = all_299_4
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_297_4, all_309_9,
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | alive, all_71_7, simplifying with (314), (346)
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (361) all_309_9 = all_297_4
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_71_0, all_305_2,
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | all_71_10, simplifying with (58), (328) gives:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (362) all_305_2 = all_71_0
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_299_2, all_305_2,
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | all_71_10, simplifying with (317), (328) gives:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (363) all_305_2 = all_299_2
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_305_4, all_307_4,
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | all_71_9, simplifying with (329), (340) gives:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (364) all_307_4 = all_305_4
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_71_6, all_309_4,
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | all_71_9, simplifying with (59), (347) gives:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (365) all_309_4 = all_71_6
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_307_4, all_309_4,
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | all_71_9, simplifying with (340), (347) gives:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (366) all_309_4 = all_307_4
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_299_3, all_303_3,
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | all_71_8, simplifying with (318), (325) gives:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (367) all_303_3 = all_299_3
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with nbr_proc, all_307_3,
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | all_71_8, simplifying with (111), (341) gives:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (368) all_307_3 = nbr_proc
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_305_3, all_307_3,
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | all_71_8, simplifying with (330), (341) gives:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (369) all_307_3 = all_305_3
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_303_3, all_307_3,
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | all_71_8, simplifying with (325), (341) gives:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (370) all_307_3 = all_303_3
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_289_0, all_307_3,
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | all_71_8, simplifying with (306), (341) gives:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (371) all_307_3 = all_289_0
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_307_3, all_309_3,
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | all_71_8, simplifying with (341), (348) gives:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (372) all_309_3 = all_307_3
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_301_3, all_309_3,
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | all_71_8, simplifying with (322), (348) gives:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (373) all_309_3 = all_301_3
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_71_6, all_309_8,
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | all_68_1, pendack, simplifying with (67), (351)
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (374) all_309_8 = all_71_6
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_307_8, all_309_8,
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | all_68_1, pendack, simplifying with (344), (351)
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (375) all_309_8 = all_307_8
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_305_8, all_309_8,
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | all_68_1, pendack, simplifying with (333), (351)
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (376) all_309_8 = all_305_8
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with elec_2, all_293_0,
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | all_68_6, status, simplifying with (31), (309)
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (377) all_293_0 = elec_2
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_293_1, all_293_0,
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | all_68_6, status, simplifying with (308), (309)
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (378) all_293_0 = all_293_1
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with elec_2, all_305_5,
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | all_68_1, status, simplifying with (68), (334)
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (379) all_305_5 = elec_2
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (372), (373) imply:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (380) all_307_3 = all_301_3
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (380) implies:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (381) all_307_3 = all_301_3
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (365), (366) imply:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (382) all_307_4 = all_71_6
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (382) implies:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (383) all_307_4 = all_71_6
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (374), (375) imply:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (384) all_307_8 = all_71_6
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (376) imply:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (385) all_307_8 = all_305_8
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (357), (361) imply:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (386) all_307_9 = all_297_4
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (357), (360) imply:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (387) all_307_9 = all_299_4
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (357), (359) imply:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (388) all_307_9 = all_301_4
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (357), (358) imply:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (389) all_307_9 = all_303_4
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (368), (369) imply:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (390) all_305_3 = nbr_proc
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (369), (371) imply:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (391) all_305_3 = all_289_0
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (369), (381) imply:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (392) all_305_3 = all_301_3
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (369), (370) imply:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (393) all_305_3 = all_303_3
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (364), (383) imply:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (394) all_305_4 = all_71_6
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (394) implies:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (395) all_305_4 = all_71_6
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (384), (385) imply:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (396) all_305_8 = all_71_6
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (387), (388) imply:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (397) all_301_4 = all_299_4
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (397) implies:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (398) all_301_4 = all_299_4
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (387), (389) imply:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (399) all_303_4 = all_299_4
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (399) implies:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (400) all_303_4 = all_299_4
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (386), (387) imply:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (401) all_299_4 = all_297_4
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (362), (363) imply:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (402) all_299_2 = all_71_0
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (392) imply:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (403) all_301_3 = nbr_proc
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (392), (393) imply:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (404) all_303_3 = all_301_3
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (404) implies:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (405) all_303_3 = all_301_3
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (392) imply:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (406) all_301_3 = all_289_0
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (355), (356) imply:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (407) all_301_4 = all_295_4
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (407) implies:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (408) all_301_4 = all_295_4
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (367), (405) imply:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (409) all_301_3 = all_299_3
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (409) implies:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (410) all_301_3 = all_299_3
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (354), (400) imply:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (411) all_299_4 = 0
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (411) implies:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (412) all_299_4 = 0
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (410) imply:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (413) all_299_3 = nbr_proc
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (410) imply:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (414) all_299_3 = all_289_0
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (398), (408) imply:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (415) all_299_4 = all_295_4
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (415) implies:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (416) all_299_4 = all_295_4
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (414) imply:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (417) all_289_0 = nbr_proc
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (401), (412) imply:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (418) all_297_4 = 0
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (401), (416) imply:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (419) all_297_4 = all_295_4
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (418), (419) imply:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (420) all_295_4 = 0
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (377), (378) imply:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (421) all_293_1 = elec_2
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (356), (420) imply:
% 24.48/4.38 | | | | | | | | | | | | | | | | | | | | | | | | | (422) all_305_9 = 0
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (336), (362) imply:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | (423) index(ldr, all_71_0) = all_305_1
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (319), (402) imply:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | (424) index(ldr, all_71_0) = all_299_1
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (335), (362) imply:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | (425) index(status, all_71_0) = all_305_0
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (349), (374) imply:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | (426) s(all_71_6) = all_309_7
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (342), (384) imply:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | (427) s(all_71_6) = all_307_7
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (331), (396) imply:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | (428) s(all_71_6) = all_305_7
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (310) gives:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (429) ~ (all_293_0 = elec_2)
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (377), (429) imply:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (430) $false
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (430) is inconsistent.
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (431) ~ (all_293_1 = elec_2) | ~ (all_293_2 = 0) | ~
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_293_3 = 0) | all_293_4 = 0
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (431) gives:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (432) ~ (all_293_1 = elec_2)
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (421), (432) imply:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (433) $false
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (433) is inconsistent.
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_305_7, all_307_7,
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_71_6, simplifying with (427), (428) gives:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (434) all_307_7 = all_305_7
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with nbr_proc, all_309_7,
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_71_6, simplifying with (110), (426) gives:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (435) all_309_7 = nbr_proc
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_307_7, all_309_7,
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_71_6, simplifying with (426), (427) gives:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (436) all_309_7 = all_307_7
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with norm, all_305_0, all_71_0,
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | status, simplifying with (69), (425) gives:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (437) all_305_0 = norm
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_71_0, all_305_1,
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_71_0, ldr, simplifying with (70), (423) gives:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (438) all_305_1 = all_71_0
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_299_1, all_305_1,
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_71_0, ldr, simplifying with (423), (424)
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (439) all_305_1 = all_299_1
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (436) imply:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (440) all_307_7 = nbr_proc
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (440) implies:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (441) all_307_7 = nbr_proc
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (434), (441) imply:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (442) all_305_7 = nbr_proc
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (442) implies:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (443) all_305_7 = nbr_proc
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (438), (439) imply:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (444) all_299_1 = all_71_0
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (435) imply:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (445) leq(nbr_proc, nbr_proc) = all_309_6
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (343), (441) imply:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (446) leq(nbr_proc, nbr_proc) = all_307_6
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (332), (443) imply:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (447) leq(nbr_proc, nbr_proc) = all_305_6
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (337) gives:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (448) ~ (all_305_5 = elec_2)
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (379), (448) imply:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (449) $false
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (449) is inconsistent.
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (450) ~ (all_305_0 = norm) | ~ (all_305_1 = all_305_2)
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_305_3 = all_305_7) | ~ (all_305_4 =
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_305_8) | ~ (all_305_6 = 0) | ~ (all_305_9
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0)
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (450) gives:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (451) ~ (all_305_6 = 0)
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with 0, all_309_6, nbr_proc,
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | nbr_proc, simplifying with (109), (445) gives:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (452) all_309_6 = 0
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_307_6, all_309_6,
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | nbr_proc, nbr_proc, simplifying with (445), (446)
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (453) all_309_6 = all_307_6
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_305_6, all_309_6,
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | nbr_proc, nbr_proc, simplifying with (445), (447)
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (454) all_309_6 = all_305_6
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (453), (454) imply:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (455) all_307_6 = all_305_6
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (452), (453) imply:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (456) all_307_6 = 0
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (456) imply:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (457) all_305_6 = 0
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (451), (457) imply:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (458) $false
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (458) is inconsistent.
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (459) ~ (all_305_0 = norm) | ~ (all_305_1 = all_305_2)
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_305_3 = all_305_7) | ~ (all_305_4 =
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_305_8) | ~ (all_305_9 = 0)
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (459) gives:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (460) ~ (all_305_9 = 0)
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (422), (460) imply:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (461) $false
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (461) is inconsistent.
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (462) ~ (all_305_0 = norm) | ~ (all_305_1 = all_305_2)
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_305_3 = all_305_7) | ~ (all_305_4 =
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_305_8)
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (462) gives:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (463) ~ (all_305_0 = norm)
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (437), (463) imply:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (464) $false
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (464) is inconsistent.
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (465) ~ (all_305_1 = all_305_2) | ~ (all_305_3 =
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_305_7) | ~ (all_305_4 = all_305_8)
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (465) gives:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (466) ~ (all_305_1 = all_305_2)
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (438), (466) imply:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (467) $false
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (467) is inconsistent.
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (468) ~ (all_305_3 = all_305_7) | ~ (all_305_4 =
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_305_8)
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (468) gives:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (469) ~ (all_305_3 = all_305_7)
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (390), (443), (469) imply:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (470) $false
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (470) is inconsistent.
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (471) ~ (all_305_4 = all_305_8)
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (395), (396), (471) imply:
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (472) $false
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (472) is inconsistent.
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 24.48/4.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 25.01/4.39 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 25.01/4.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 25.01/4.39 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 25.01/4.39 | | | | | | | | | | | | | | | | | | | | | | |
% 25.01/4.39 | | | | | | | | | | | | | | | | | | | | | | End of split
% 25.01/4.39 | | | | | | | | | | | | | | | | | | | | | |
% 25.01/4.39 | | | | | | | | | | | | | | | | | | | | | End of split
% 25.01/4.39 | | | | | | | | | | | | | | | | | | | | |
% 25.01/4.39 | | | | | | | | | | | | | | | | | | | | End of split
% 25.01/4.39 | | | | | | | | | | | | | | | | | | | |
% 25.01/4.39 | | | | | | | | | | | | | | | | | | | Case 2:
% 25.01/4.39 | | | | | | | | | | | | | | | | | | | |
% 25.01/4.39 | | | | | | | | | | | | | | | | | | | | (473) all_71_4 = all_68_0
% 25.01/4.39 | | | | | | | | | | | | | | | | | | | |
% 25.01/4.39 | | | | | | | | | | | | | | | | | | | | REDUCE: (86), (473) imply:
% 25.01/4.39 | | | | | | | | | | | | | | | | | | | | (474) pidMsg(all_68_0) = all_71_8
% 25.01/4.39 | | | | | | | | | | | | | | | | | | | |
% 25.01/4.39 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_68_9, all_71_8,
% 25.01/4.39 | | | | | | | | | | | | | | | | | | | | all_68_0, simplifying with (140), (474) gives:
% 25.01/4.39 | | | | | | | | | | | | | | | | | | | | (475) all_71_8 = all_68_9
% 25.01/4.39 | | | | | | | | | | | | | | | | | | | |
% 25.01/4.39 | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (475) imply:
% 25.01/4.39 | | | | | | | | | | | | | | | | | | | | (476) host(all_68_9) = nbr_proc
% 25.01/4.39 | | | | | | | | | | | | | | | | | | | |
% 25.01/4.39 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_68_6, nbr_proc,
% 25.01/4.39 | | | | | | | | | | | | | | | | | | | | all_68_9, simplifying with (142), (476) gives:
% 25.01/4.39 | | | | | | | | | | | | | | | | | | | | (477) all_68_6 = nbr_proc
% 25.01/4.39 | | | | | | | | | | | | | | | | | | | |
% 25.01/4.39 | | | | | | | | | | | | | | | | | | | | REDUCE: (232), (477) imply:
% 25.01/4.39 | | | | | | | | | | | | | | | | | | | | (478) leq(nbr_proc, all_68_3) = 0
% 25.01/4.39 | | | | | | | | | | | | | | | | | | | |
% 25.01/4.39 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_68_2, 0, all_68_3,
% 25.01/4.39 | | | | | | | | | | | | | | | | | | | | nbr_proc, simplifying with (28), (478) gives:
% 25.01/4.40 | | | | | | | | | | | | | | | | | | | | (479) all_68_2 = 0
% 25.01/4.40 | | | | | | | | | | | | | | | | | | | |
% 25.01/4.40 | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (479) imply:
% 25.01/4.40 | | | | | | | | | | | | | | | | | | | | (480) $false
% 25.01/4.40 | | | | | | | | | | | | | | | | | | | |
% 25.01/4.40 | | | | | | | | | | | | | | | | | | | | CLOSE: (480) is inconsistent.
% 25.01/4.40 | | | | | | | | | | | | | | | | | | | |
% 25.01/4.40 | | | | | | | | | | | | | | | | | | | End of split
% 25.01/4.40 | | | | | | | | | | | | | | | | | | |
% 25.01/4.40 | | | | | | | | | | | | | | | | | | Case 2:
% 25.01/4.40 | | | | | | | | | | | | | | | | | | |
% 25.01/4.40 | | | | | | | | | | | | | | | | | | | (481) all_71_1 = all_68_0
% 25.01/4.40 | | | | | | | | | | | | | | | | | | |
% 25.01/4.40 | | | | | | | | | | | | | | | | | | | REDUCE: (62), (481) imply:
% 25.01/4.40 | | | | | | | | | | | | | | | | | | | (482) m_Ack(all_71_7, all_71_9) = all_68_0
% 25.01/4.40 | | | | | | | | | | | | | | | | | | |
% 25.01/4.40 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (axiom_11) with all_71_7, all_71_9,
% 25.01/4.40 | | | | | | | | | | | | | | | | | | | all_68_9, all_68_0, simplifying with (45), (47),
% 25.01/4.40 | | | | | | | | | | | | | | | | | | | (141), (144), (482) gives:
% 25.01/4.40 | | | | | | | | | | | | | | | | | | | (483) $false
% 25.01/4.40 | | | | | | | | | | | | | | | | | | |
% 25.01/4.40 | | | | | | | | | | | | | | | | | | | CLOSE: (483) is inconsistent.
% 25.01/4.40 | | | | | | | | | | | | | | | | | | |
% 25.01/4.40 | | | | | | | | | | | | | | | | | | End of split
% 25.01/4.40 | | | | | | | | | | | | | | | | | |
% 25.01/4.40 | | | | | | | | | | | | | | | | | End of split
% 25.01/4.40 | | | | | | | | | | | | | | | | |
% 25.01/4.40 | | | | | | | | | | | | | | | | Case 2:
% 25.01/4.40 | | | | | | | | | | | | | | | | |
% 25.01/4.40 | | | | | | | | | | | | | | | | | (484) all_68_1 = all_68_6
% 25.01/4.40 | | | | | | | | | | | | | | | | |
% 25.01/4.40 | | | | | | | | | | | | | | | | | REDUCE: (43), (484) imply:
% 25.01/4.40 | | | | | | | | | | | | | | | | | (485) $false
% 25.01/4.40 | | | | | | | | | | | | | | | | |
% 25.01/4.40 | | | | | | | | | | | | | | | | | CLOSE: (485) is inconsistent.
% 25.01/4.40 | | | | | | | | | | | | | | | | |
% 25.01/4.40 | | | | | | | | | | | | | | | | End of split
% 25.01/4.40 | | | | | | | | | | | | | | | |
% 25.01/4.40 | | | | | | | | | | | | | | | End of split
% 25.01/4.40 | | | | | | | | | | | | | | |
% 25.01/4.40 | | | | | | | | | | | | | | End of split
% 25.01/4.40 | | | | | | | | | | | | | |
% 25.01/4.40 | | | | | | | | | | | | | End of split
% 25.01/4.40 | | | | | | | | | | | | |
% 25.01/4.40 | | | | | | | | | | | | End of split
% 25.01/4.40 | | | | | | | | | | | |
% 25.01/4.40 | | | | | | | | | | | End of split
% 25.01/4.40 | | | | | | | | | | |
% 25.01/4.40 | | | | | | | | | | End of split
% 25.01/4.40 | | | | | | | | | |
% 25.01/4.40 | | | | | | | | | End of split
% 25.01/4.40 | | | | | | | | |
% 25.01/4.40 | | | | | | | | End of split
% 25.01/4.40 | | | | | | | |
% 25.01/4.40 | | | | | | | End of split
% 25.01/4.40 | | | | | | |
% 25.01/4.40 | | | | | | Case 2:
% 25.01/4.40 | | | | | | |
% 25.01/4.40 | | | | | | | (486) ~ (all_136_3 = 0)
% 25.01/4.40 | | | | | | |
% 25.01/4.40 | | | | | | | REDUCE: (161), (486) imply:
% 25.01/4.40 | | | | | | | (487) $false
% 25.01/4.40 | | | | | | |
% 25.01/4.40 | | | | | | | CLOSE: (487) is inconsistent.
% 25.01/4.40 | | | | | | |
% 25.01/4.40 | | | | | | End of split
% 25.01/4.40 | | | | | |
% 25.01/4.40 | | | | | End of split
% 25.01/4.40 | | | | |
% 25.01/4.40 | | | | End of split
% 25.01/4.40 | | | |
% 25.01/4.40 | | | Case 2:
% 25.01/4.40 | | | |
% 25.01/4.40 | | | | (488) ~ (all_99_1 = elec_1) & ~ (all_99_1 = elec_2)
% 25.01/4.40 | | | |
% 25.01/4.40 | | | | ALPHA: (488) implies:
% 25.01/4.40 | | | | (489) ~ (all_99_1 = elec_2)
% 25.01/4.40 | | | |
% 25.01/4.40 | | | | REDUCE: (133), (489) imply:
% 25.01/4.40 | | | | (490) $false
% 25.01/4.40 | | | |
% 25.01/4.40 | | | | CLOSE: (490) is inconsistent.
% 25.01/4.40 | | | |
% 25.01/4.40 | | | End of split
% 25.01/4.40 | | |
% 25.01/4.40 | | End of split
% 25.01/4.40 | |
% 25.01/4.40 | Case 2:
% 25.01/4.40 | |
% 25.01/4.40 | | (491) ? [v0: int] : ( ~ (v0 = 0) & leq(all_71_5, nbr_proc) = v0)
% 25.01/4.40 | |
% 25.01/4.40 | | DELTA: instantiating (491) with fresh symbol all_105_0 gives:
% 25.01/4.40 | | (492) ~ (all_105_0 = 0) & leq(all_71_5, nbr_proc) = all_105_0
% 25.01/4.40 | |
% 25.01/4.40 | | ALPHA: (492) implies:
% 25.01/4.40 | | (493) ~ (all_105_0 = 0)
% 25.01/4.40 | | (494) leq(all_71_5, nbr_proc) = all_105_0
% 25.01/4.40 | |
% 25.01/4.40 | | GROUND_INST: instantiating (14) with 0, all_105_0, nbr_proc, all_71_5,
% 25.01/4.40 | | simplifying with (81), (494) gives:
% 25.01/4.40 | | (495) all_105_0 = 0
% 25.01/4.40 | |
% 25.01/4.40 | | REDUCE: (493), (495) imply:
% 25.01/4.40 | | (496) $false
% 25.01/4.40 | |
% 25.01/4.40 | | CLOSE: (496) is inconsistent.
% 25.01/4.40 | |
% 25.01/4.40 | End of split
% 25.01/4.40 |
% 25.01/4.40 End of proof
% 25.01/4.40 % SZS output end Proof for theBenchmark
% 25.01/4.40
% 25.01/4.40 3704ms
%------------------------------------------------------------------------------