TSTP Solution File: SWV473+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SWV473+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 : n018.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 22:56:38 EDT 2023
% Result : Theorem 219.77s 29.92s
% Output : Proof 220.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SWV473+1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.11 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.11/0.32 % Computer : n018.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Aug 29 04:36:32 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.17/0.60 ________ _____
% 0.17/0.60 ___ __ \_________(_)________________________________
% 0.17/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.17/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.17/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.17/0.60
% 0.17/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.17/0.60 (2023-06-19)
% 0.17/0.60
% 0.17/0.60 (c) Philipp Rümmer, 2009-2023
% 0.17/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.17/0.60 Amanda Stjerna.
% 0.17/0.60 Free software under BSD-3-Clause.
% 0.17/0.60
% 0.17/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.17/0.60
% 0.17/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.17/0.62 Running up to 7 provers in parallel.
% 0.17/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.17/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.17/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.17/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.17/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.17/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 0.17/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 3.70/1.37 Prover 4: Preprocessing ...
% 4.39/1.43 Prover 3: Preprocessing ...
% 4.39/1.43 Prover 0: Preprocessing ...
% 4.39/1.43 Prover 5: Preprocessing ...
% 4.39/1.43 Prover 2: Preprocessing ...
% 4.39/1.43 Prover 6: Preprocessing ...
% 4.39/1.43 Prover 1: Preprocessing ...
% 14.43/2.86 Prover 6: Proving ...
% 15.10/2.88 Prover 1: Constructing countermodel ...
% 15.28/2.89 Prover 3: Constructing countermodel ...
% 16.59/3.13 Prover 5: Proving ...
% 17.31/3.23 Prover 2: Proving ...
% 17.97/3.31 Prover 4: Constructing countermodel ...
% 19.64/3.55 Prover 0: Proving ...
% 23.83/4.07 Prover 3: gave up
% 24.09/4.08 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 25.25/4.24 Prover 7: Preprocessing ...
% 30.38/4.94 Prover 7: Warning: ignoring some quantifiers
% 30.38/4.99 Prover 7: Constructing countermodel ...
% 37.65/5.96 Prover 1: gave up
% 37.65/5.98 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 39.15/6.15 Prover 8: Preprocessing ...
% 42.67/6.55 Prover 8: Warning: ignoring some quantifiers
% 42.67/6.59 Prover 8: Constructing countermodel ...
% 51.67/7.72 Prover 8: gave up
% 51.67/7.72 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889
% 51.79/7.78 Prover 9: Preprocessing ...
% 56.26/8.31 Prover 9: Constructing countermodel ...
% 60.47/8.93 Prover 2: stopped
% 60.47/8.95 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 61.59/9.08 Prover 10: Preprocessing ...
% 63.67/9.33 Prover 10: Warning: ignoring some quantifiers
% 63.67/9.34 Prover 10: Constructing countermodel ...
% 99.25/13.98 Prover 5: stopped
% 99.25/13.99 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 100.26/14.07 Prover 11: Preprocessing ...
% 105.34/14.75 Prover 11: Constructing countermodel ...
% 129.46/17.89 Prover 6: stopped
% 129.64/17.91 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391
% 130.41/18.00 Prover 12: Preprocessing ...
% 132.13/18.26 Prover 12: Proving ...
% 139.60/19.23 Prover 12: stopped
% 139.82/19.24 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 141.00/19.45 Prover 13: Preprocessing ...
% 142.65/19.65 Prover 13: Warning: ignoring some quantifiers
% 142.65/19.68 Prover 13: Constructing countermodel ...
% 166.97/22.80 Prover 13: stopped
% 166.97/22.81 Prover 14: Options: -triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=414236379
% 167.57/22.89 Prover 14: Preprocessing ...
% 169.28/23.25 Prover 14: Proving ...
% 193.48/26.35 Prover 7: stopped
% 193.48/26.35 Prover 15: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=723048181
% 193.91/26.41 Prover 15: Preprocessing ...
% 195.12/26.56 Prover 15: Proving ...
% 205.96/27.99 Prover 4: stopped
% 205.96/27.99 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 205.96/28.03 Prover 16: Preprocessing ...
% 206.61/28.12 Prover 16: Warning: ignoring some quantifiers
% 207.15/28.13 Prover 16: Constructing countermodel ...
% 212.09/28.87 Prover 9: stopped
% 212.09/28.87 Prover 17: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=642448422
% 212.09/28.90 Prover 17: Preprocessing ...
% 212.80/28.97 Prover 17: Proving ...
% 218.96/29.77 Prover 17: gave up
% 218.96/29.78 Prover 18: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-219651170
% 219.38/29.81 Prover 18: Preprocessing ...
% 219.77/29.87 Prover 16: Found proof (size 140)
% 219.77/29.87 Prover 16: proved (1882ms)
% 219.77/29.87 Prover 14: stopped
% 219.77/29.87 Prover 15: stopped
% 219.77/29.87 Prover 0: stopped
% 219.77/29.88 Prover 10: stopped
% 219.77/29.88 Prover 11: stopped
% 219.77/29.91 Prover 18: Warning: ignoring some quantifiers
% 219.77/29.91 Prover 18: Constructing countermodel ...
% 219.77/29.91 Prover 18: stopped
% 219.77/29.91
% 219.77/29.92 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 219.77/29.92
% 219.77/29.92 % SZS output start Proof for theBenchmark
% 219.77/29.93 Assumptions after simplification:
% 219.77/29.93 ---------------------------------
% 219.77/29.93
% 219.77/29.93 (axiom_03)
% 219.77/29.96 $i(nbr_proc) & $i(zero) & ? [v0: $i] : (s(zero) = v0 & $i(v0) & leq(v0,
% 219.77/29.96 nbr_proc))
% 219.77/29.96
% 219.77/29.96 (axiom_46)
% 219.77/29.96 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 219.77/29.96 (cons(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ elem(v0, v3) |
% 219.77/29.96 elem(v0, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 219.77/29.96 (cons(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ elem(v0, v2) |
% 219.77/29.96 elem(v0, v3)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (cons(v0, v1)
% 219.77/29.96 = v2) | ~ $i(v1) | ~ $i(v0) | elem(v0, v2))
% 219.77/29.96
% 219.77/29.96 (conj)
% 219.77/29.98 $i(pendack) & $i(down) & $i(ldr) & $i(elid) & $i(status) & $i(alive) &
% 219.77/29.98 $i(norm) & $i(wait) & $i(elec_1) & $i(elec_2) & $i(nbr_proc) & $i(zero) & ?
% 219.77/29.98 [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i]
% 219.77/29.99 : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ?
% 219.77/29.99 [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15: $i] : ?
% 219.77/29.99 [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: $i] : ? [v20: $i] : ( ~
% 219.77/29.99 (v12 = nbr_proc) & index(down, nbr_proc) = v17 & index(status, nbr_proc) =
% 219.77/29.99 elec_1 & cons(v6, v1) = v5 & m_Down(v15) = v19 & m_Down(v14) = v20 & s(zero)
% 219.77/29.99 = v0 & m_Ack(v2, v4) = v6 & host(v16) = nbr_proc & host(v15) = v18 &
% 219.77/29.99 host(v14) = nbr_proc & host(v11) = v12 & host(v3) = nbr_proc & queue(v12) =
% 219.77/29.99 v13 & queue(nbr_proc) = v5 & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16)
% 219.77/29.99 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v6) & $i(v5) & $i(v4)
% 219.77/29.99 & $i(v3) & $i(v2) & $i(v1) & $i(v0) & setIn(v11, alive) & setIn(v3, alive) &
% 219.77/29.99 elem(v20, v13) & elem(v19, v1) & ! [v21: $i] : ! [v22: $i] : ! [v23: $i]
% 219.77/29.99 : ! [v24: $i] : ! [v25: $i] : ! [v26: $i] : ! [v27: $i] : ! [v28: $i] :
% 219.77/29.99 (v26 = v25 | ~ (m_Down(v24) = v27) | ~ (m_Down(v22) = v28) | ~ (host(v23)
% 219.77/29.99 = v25) | ~ (host(v21) = v26) | ~ $i(v24) | ~ $i(v23) | ~ $i(v22) |
% 219.77/29.99 ~ $i(v21) | ~ setIn(v23, alive) | ~ setIn(v21, alive) | ? [v29: $i] :
% 219.77/29.99 ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : (( ~ (v30 = v25) & host(v24) =
% 219.77/29.99 v30 & $i(v30)) | ( ~ (v29 = v26) & host(v22) = v29 & $i(v29)) |
% 219.77/29.99 (queue(v26) = v31 & $i(v31) & ~ elem(v27, v31)) | (queue(v25) = v32 &
% 219.77/29.99 $i(v32) & ~ elem(v28, v32)))) & ! [v21: $i] : ! [v22: $i] : !
% 219.77/29.99 [v23: $i] : ! [v24: $i] : ! [v25: $i] : ! [v26: $i] : ! [v27: $i] : (v26
% 219.77/29.99 = v25 | ~ (m_Down(v24) = v27) | ~ (host(v23) = v25) | ~ (host(v22) =
% 219.77/29.99 v26) | ~ (host(v21) = v26) | ~ $i(v24) | ~ $i(v23) | ~ $i(v22) | ~
% 219.77/29.99 $i(v21) | ~ setIn(v23, alive) | ~ setIn(v21, alive) | ? [v28: $i] : ?
% 219.77/29.99 [v29: $i] : ? [v30: $i] : (( ~ (v28 = v25) & host(v24) = v28 & $i(v28)) |
% 219.77/29.99 (index(down, v25) = v30 & $i(v30) & ~ setIn(v26, v30)) | (queue(v26) =
% 219.77/29.99 v29 & $i(v29) & ~ elem(v27, v29)))) & ! [v21: $i] : ! [v22: $i] :
% 219.77/29.99 ! [v23: $i] : ! [v24: $i] : ! [v25: $i] : ! [v26: $i] : ! [v27: $i] : (
% 219.77/29.99 ~ (m_Down(v23) = v25) | ~ (m_Down(v22) = v26) | ~ (host(v24) = nbr_proc)
% 219.77/29.99 | ~ (host(v21) = v27) | ~ $i(v24) | ~ $i(v23) | ~ $i(v22) | ~ $i(v21)
% 219.77/29.99 | ~ setIn(v21, alive) | ? [v28: $i] : ? [v29: $i] : ? [v30: $i] : ?
% 219.77/29.99 [v31: $i] : ? [v32: $i] : ? [v33: $i] : ($i(v33) & ((v30 = v5 & ~
% 219.77/29.99 elem(v25, v5)) | (v28 = v17 & ~ (v33 = v29) & host(v23) = v29 &
% 219.77/29.99 $i(v29) & leq(v0, v33) & ~ leq(nbr_proc, v33) & ~ setIn(v33, v17))
% 219.77/29.99 | ( ~ (v31 = nbr_proc) & host(v22) = v31 & $i(v31)) | (queue(v27) =
% 219.77/29.99 v32 & $i(v32) & ~ elem(v26, v32))))) & ! [v21: $i] : ! [v22: $i]
% 219.77/29.99 : ! [v23: $i] : ! [v24: $i] : ! [v25: $i] : ! [v26: $i] : (v25 = v24 |
% 219.77/29.99 ~ (m_Down(v21) = v26) | ~ (host(v23) = v24) | ~ (host(v22) = v25) | ~
% 219.77/29.99 $i(v23) | ~ $i(v22) | ~ $i(v21) | ~ setIn(v23, alive) | ? [v27: $i] :
% 219.77/29.99 ? [v28: $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (( ~ (v30 =
% 219.77/29.99 v25) & index(elid, v24) = v29 & host(v29) = v30 & $i(v30) & $i(v29))
% 219.77/29.99 | ( ~ (v28 = wait) & index(status, v24) = v28 & $i(v28)) | ( ~ (v27 =
% 219.77/29.99 v24) & host(v21) = v27 & $i(v27)) | (queue(v25) = v31 & $i(v31) & ~
% 219.77/29.99 elem(v26, v31)))) & ! [v21: $i] : ! [v22: $i] : ! [v23: $i] : !
% 219.77/29.99 [v24: $i] : ! [v25: $i] : ! [v26: $i] : (v25 = v24 | ~ (m_Down(v21) =
% 219.77/29.99 v26) | ~ (host(v23) = v24) | ~ (host(v22) = v25) | ~ $i(v23) | ~
% 219.77/29.99 $i(v22) | ~ $i(v21) | ~ setIn(v23, alive) | ? [v27: $i] : ? [v28: $i]
% 219.77/29.99 : ? [v29: $i] : ? [v30: $i] : (( ~ (v29 = v25) & index(ldr, v24) = v29 &
% 219.77/29.99 $i(v29)) | ( ~ (v28 = norm) & index(status, v24) = v28 & $i(v28)) | (
% 219.77/29.99 ~ (v27 = v24) & host(v21) = v27 & $i(v27)) | (queue(v25) = v30 &
% 219.77/29.99 $i(v30) & ~ elem(v26, v30)))) & ! [v21: $i] : ! [v22: $i] : !
% 219.77/29.99 [v23: $i] : ! [v24: $i] : ( ~ (m_Ldr(v22) = v23) | ~ (host(v21) = v24) |
% 219.77/29.99 ~ $i(v22) | ~ $i(v21) | ? [v25: $i] : ? [v26: $i] : ((host(v22) = v26 &
% 219.77/29.99 $i(v26) & ~ leq(v24, v26)) | (queue(v24) = v25 & $i(v25) & ~
% 219.77/29.99 elem(v23, v25)))) & ! [v21: $i] : ! [v22: $i] : ! [v23: $i] : !
% 219.77/29.99 [v24: $i] : ( ~ (m_Down(v22) = v23) | ~ (host(v21) = v24) | ~ $i(v22) | ~
% 219.77/29.99 $i(v21) | ? [v25: $i] : ? [v26: $i] : (( ~ (v26 = v24) & host(v22) = v26
% 219.77/29.99 & $i(v26)) | (queue(v24) = v25 & $i(v25) & ~ elem(v23, v25)))) & !
% 219.77/29.99 [v21: $i] : ! [v22: $i] : ! [v23: $i] : (v22 = v21 | ~ (host(v22) = v23)
% 219.77/29.99 | ~ (host(v21) = v23) | ~ $i(v22) | ~ $i(v21) | ~ setIn(v22, alive) |
% 219.77/29.99 ~ setIn(v21, alive)) & ! [v21: $i] : ! [v22: $i] : ! [v23: $i] : ( ~
% 219.77/29.99 (m_NotNorm(v21) = v23) | ~ (host(v22) = nbr_proc) | ~ $i(v22) | ~
% 219.77/29.99 $i(v21) | ~ elem(v23, v5)) & ! [v21: $i] : ! [v22: $i] : ( ~ (host(v21)
% 219.77/29.99 = v22) | ~ $i(v21) | ~ setIn(v21, alive) | ? [v23: $i] : ? [v24: $i]
% 219.77/29.99 : ((v24 = v21 & index(elid, v22) = v21) | ( ~ (v23 = elec_1) & ~ (v23 =
% 219.77/29.99 elec_2) & index(status, v22) = v23 & $i(v23)))) & ! [v21: $i] :
% 219.77/29.99 (v21 = v18 | ~ $i(v21) | ~ leq(v0, v21) | leq(nbr_proc, v21) | setIn(v21,
% 219.77/29.99 v17)) & ((v8 = elec_1 & ~ (elec_1 = elec_2)) | ( ~ (v10 = v9) &
% 219.77/29.99 index(pendack, nbr_proc) = v10 & host(v4) = v9 & $i(v10) & $i(v9)) | ( ~
% 219.77/29.99 (v7 = v2) & index(elid, nbr_proc) = v7 & $i(v7))))
% 219.77/29.99
% 219.77/29.99 (function-axioms)
% 219.77/29.99 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 219.77/29.99 (index(v3, v2) = v1) | ~ (index(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 219.77/29.99 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (snoc(v3, v2) = v1) | ~ (snoc(v3,
% 219.77/29.99 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1
% 219.77/29.99 = v0 | ~ (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0)) & ! [v0: $i] : !
% 219.77/29.99 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (m_Ack(v3, v2) = v1) | ~
% 219.77/29.99 (m_Ack(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 |
% 219.77/29.99 ~ (pidMsg(v2) = v1) | ~ (pidMsg(v2) = v0)) & ! [v0: $i] : ! [v1: $i] :
% 219.77/29.99 ! [v2: $i] : (v1 = v0 | ~ (init(v2) = v1) | ~ (init(v2) = v0)) & ! [v0: $i]
% 219.77/29.99 : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (last(v2) = v1) | ~ (last(v2) =
% 219.77/29.99 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (tail(v2) =
% 219.77/29.99 v1) | ~ (tail(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1
% 219.77/29.99 = v0 | ~ (head(v2) = v1) | ~ (head(v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 219.77/29.99 : ! [v2: $i] : (v1 = v0 | ~ (m_NormQ(v2) = v1) | ~ (m_NormQ(v2) = v0)) & !
% 219.77/29.99 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (m_Ldr(v2) = v1) | ~
% 219.77/29.99 (m_Ldr(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 219.77/29.99 (m_NotNorm(v2) = v1) | ~ (m_NotNorm(v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 219.77/29.99 : ! [v2: $i] : (v1 = v0 | ~ (m_Down(v2) = v1) | ~ (m_Down(v2) = v0)) & !
% 219.77/29.99 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (m_Halt(v2) = v1) | ~
% 219.77/29.99 (m_Halt(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 219.77/29.99 (s(v2) = v1) | ~ (s(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 219.77/29.99 (v1 = v0 | ~ (host(v2) = v1) | ~ (host(v2) = v0)) & ! [v0: $i] : ! [v1:
% 219.77/29.99 $i] : ! [v2: $i] : (v1 = v0 | ~ (queue(v2) = v1) | ~ (queue(v2) = v0))
% 219.77/29.99
% 219.77/29.99 Further assumptions not needed in the proof:
% 219.77/29.99 --------------------------------------------
% 219.77/29.99 axiom, axiom_01, axiom_02, axiom_04, axiom_05, axiom_06, axiom_07, axiom_08,
% 219.77/29.99 axiom_09, axiom_10, axiom_11, axiom_12, axiom_13, axiom_14, axiom_15, axiom_16,
% 219.77/29.99 axiom_17, axiom_18, axiom_19, axiom_20, axiom_21, axiom_22, axiom_23, axiom_24,
% 219.77/29.99 axiom_25, axiom_26, axiom_27, axiom_28, axiom_29, axiom_30, axiom_31, axiom_32,
% 219.77/29.99 axiom_33, axiom_34, axiom_35, axiom_36, axiom_37, axiom_38, axiom_39, axiom_40,
% 219.77/29.99 axiom_41, axiom_42, axiom_43, axiom_44, axiom_45, axiom_47, axiom_48, axiom_49,
% 219.77/29.99 axiom_50, axiom_51, axiom_52, axiom_53, axiom_54, axiom_55, axiom_56, axiom_57,
% 219.77/29.99 axiom_58, axiom_59, axiom_60, axiom_61, axiom_62, axiom_63, axiom_64, axiom_65
% 219.77/29.99
% 219.77/29.99 Those formulas are unsatisfiable:
% 219.77/29.99 ---------------------------------
% 219.77/29.99
% 219.77/29.99 Begin of proof
% 219.77/30.00 |
% 219.77/30.00 | ALPHA: (axiom_03) implies:
% 219.77/30.00 | (1) ? [v0: $i] : (s(zero) = v0 & $i(v0) & leq(v0, nbr_proc))
% 219.77/30.00 |
% 219.77/30.00 | ALPHA: (axiom_46) implies:
% 219.77/30.00 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (cons(v1,
% 219.77/30.00 | v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ elem(v0, v2) |
% 219.77/30.00 | elem(v0, v3))
% 219.77/30.00 |
% 219.77/30.00 | ALPHA: (conj) implies:
% 220.38/30.01 | (3) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 220.38/30.01 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 220.38/30.01 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 220.38/30.01 | ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19:
% 220.38/30.01 | $i] : ? [v20: $i] : ( ~ (v12 = nbr_proc) & index(down, nbr_proc) =
% 220.38/30.01 | v17 & index(status, nbr_proc) = elec_1 & cons(v6, v1) = v5 &
% 220.38/30.01 | m_Down(v15) = v19 & m_Down(v14) = v20 & s(zero) = v0 & m_Ack(v2, v4)
% 220.38/30.01 | = v6 & host(v16) = nbr_proc & host(v15) = v18 & host(v14) = nbr_proc
% 220.38/30.01 | & host(v11) = v12 & host(v3) = nbr_proc & queue(v12) = v13 &
% 220.38/30.01 | queue(nbr_proc) = v5 & $i(v20) & $i(v19) & $i(v18) & $i(v17) &
% 220.38/30.01 | $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v6) &
% 220.38/30.01 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & setIn(v11,
% 220.38/30.01 | alive) & setIn(v3, alive) & elem(v20, v13) & elem(v19, v1) & !
% 220.38/30.01 | [v21: $i] : ! [v22: $i] : ! [v23: $i] : ! [v24: $i] : ! [v25: $i]
% 220.38/30.01 | : ! [v26: $i] : ! [v27: $i] : ! [v28: $i] : (v26 = v25 | ~
% 220.38/30.01 | (m_Down(v24) = v27) | ~ (m_Down(v22) = v28) | ~ (host(v23) = v25)
% 220.38/30.01 | | ~ (host(v21) = v26) | ~ $i(v24) | ~ $i(v23) | ~ $i(v22) | ~
% 220.38/30.01 | $i(v21) | ~ setIn(v23, alive) | ~ setIn(v21, alive) | ? [v29:
% 220.38/30.01 | $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : (( ~ (v30 =
% 220.38/30.01 | v25) & host(v24) = v30 & $i(v30)) | ( ~ (v29 = v26) &
% 220.38/30.01 | host(v22) = v29 & $i(v29)) | (queue(v26) = v31 & $i(v31) & ~
% 220.38/30.01 | elem(v27, v31)) | (queue(v25) = v32 & $i(v32) & ~ elem(v28,
% 220.38/30.01 | v32)))) & ! [v21: $i] : ! [v22: $i] : ! [v23: $i] : !
% 220.38/30.01 | [v24: $i] : ! [v25: $i] : ! [v26: $i] : ! [v27: $i] : (v26 = v25 |
% 220.38/30.01 | ~ (m_Down(v24) = v27) | ~ (host(v23) = v25) | ~ (host(v22) =
% 220.38/30.01 | v26) | ~ (host(v21) = v26) | ~ $i(v24) | ~ $i(v23) | ~
% 220.38/30.01 | $i(v22) | ~ $i(v21) | ~ setIn(v23, alive) | ~ setIn(v21, alive)
% 220.38/30.01 | | ? [v28: $i] : ? [v29: $i] : ? [v30: $i] : (( ~ (v28 = v25) &
% 220.38/30.01 | host(v24) = v28 & $i(v28)) | (index(down, v25) = v30 & $i(v30)
% 220.38/30.01 | & ~ setIn(v26, v30)) | (queue(v26) = v29 & $i(v29) & ~
% 220.38/30.01 | elem(v27, v29)))) & ! [v21: $i] : ! [v22: $i] : ! [v23: $i]
% 220.38/30.01 | : ! [v24: $i] : ! [v25: $i] : ! [v26: $i] : ! [v27: $i] : ( ~
% 220.38/30.01 | (m_Down(v23) = v25) | ~ (m_Down(v22) = v26) | ~ (host(v24) =
% 220.38/30.01 | nbr_proc) | ~ (host(v21) = v27) | ~ $i(v24) | ~ $i(v23) | ~
% 220.38/30.01 | $i(v22) | ~ $i(v21) | ~ setIn(v21, alive) | ? [v28: $i] : ?
% 220.38/30.01 | [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : ? [v33:
% 220.38/30.01 | $i] : ($i(v33) & ((v30 = v5 & ~ elem(v25, v5)) | (v28 = v17 & ~
% 220.38/30.01 | (v33 = v29) & host(v23) = v29 & $i(v29) & leq(v0, v33) & ~
% 220.38/30.01 | leq(nbr_proc, v33) & ~ setIn(v33, v17)) | ( ~ (v31 =
% 220.38/30.01 | nbr_proc) & host(v22) = v31 & $i(v31)) | (queue(v27) = v32
% 220.38/30.01 | & $i(v32) & ~ elem(v26, v32))))) & ! [v21: $i] : ! [v22:
% 220.38/30.01 | $i] : ! [v23: $i] : ! [v24: $i] : ! [v25: $i] : ! [v26: $i] :
% 220.38/30.01 | (v25 = v24 | ~ (m_Down(v21) = v26) | ~ (host(v23) = v24) | ~
% 220.38/30.01 | (host(v22) = v25) | ~ $i(v23) | ~ $i(v22) | ~ $i(v21) | ~
% 220.38/30.01 | setIn(v23, alive) | ? [v27: $i] : ? [v28: $i] : ? [v29: $i] : ?
% 220.38/30.01 | [v30: $i] : ? [v31: $i] : (( ~ (v30 = v25) & index(elid, v24) =
% 220.38/30.01 | v29 & host(v29) = v30 & $i(v30) & $i(v29)) | ( ~ (v28 = wait) &
% 220.38/30.01 | index(status, v24) = v28 & $i(v28)) | ( ~ (v27 = v24) &
% 220.38/30.01 | host(v21) = v27 & $i(v27)) | (queue(v25) = v31 & $i(v31) & ~
% 220.38/30.01 | elem(v26, v31)))) & ! [v21: $i] : ! [v22: $i] : ! [v23: $i]
% 220.38/30.01 | : ! [v24: $i] : ! [v25: $i] : ! [v26: $i] : (v25 = v24 | ~
% 220.38/30.01 | (m_Down(v21) = v26) | ~ (host(v23) = v24) | ~ (host(v22) = v25) |
% 220.38/30.01 | ~ $i(v23) | ~ $i(v22) | ~ $i(v21) | ~ setIn(v23, alive) | ?
% 220.38/30.01 | [v27: $i] : ? [v28: $i] : ? [v29: $i] : ? [v30: $i] : (( ~ (v29
% 220.38/30.01 | = v25) & index(ldr, v24) = v29 & $i(v29)) | ( ~ (v28 = norm)
% 220.38/30.01 | & index(status, v24) = v28 & $i(v28)) | ( ~ (v27 = v24) &
% 220.38/30.02 | host(v21) = v27 & $i(v27)) | (queue(v25) = v30 & $i(v30) & ~
% 220.38/30.02 | elem(v26, v30)))) & ! [v21: $i] : ! [v22: $i] : ! [v23: $i]
% 220.38/30.02 | : ! [v24: $i] : ( ~ (m_Ldr(v22) = v23) | ~ (host(v21) = v24) | ~
% 220.38/30.02 | $i(v22) | ~ $i(v21) | ? [v25: $i] : ? [v26: $i] : ((host(v22) =
% 220.38/30.02 | v26 & $i(v26) & ~ leq(v24, v26)) | (queue(v24) = v25 & $i(v25)
% 220.38/30.02 | & ~ elem(v23, v25)))) & ! [v21: $i] : ! [v22: $i] : ! [v23:
% 220.38/30.02 | $i] : ! [v24: $i] : ( ~ (m_Down(v22) = v23) | ~ (host(v21) = v24)
% 220.38/30.02 | | ~ $i(v22) | ~ $i(v21) | ? [v25: $i] : ? [v26: $i] : (( ~ (v26
% 220.38/30.02 | = v24) & host(v22) = v26 & $i(v26)) | (queue(v24) = v25 &
% 220.38/30.02 | $i(v25) & ~ elem(v23, v25)))) & ! [v21: $i] : ! [v22: $i] :
% 220.38/30.02 | ! [v23: $i] : (v22 = v21 | ~ (host(v22) = v23) | ~ (host(v21) =
% 220.38/30.02 | v23) | ~ $i(v22) | ~ $i(v21) | ~ setIn(v22, alive) | ~
% 220.38/30.02 | setIn(v21, alive)) & ! [v21: $i] : ! [v22: $i] : ! [v23: $i] : (
% 220.38/30.02 | ~ (m_NotNorm(v21) = v23) | ~ (host(v22) = nbr_proc) | ~ $i(v22) |
% 220.38/30.02 | ~ $i(v21) | ~ elem(v23, v5)) & ! [v21: $i] : ! [v22: $i] : ( ~
% 220.38/30.02 | (host(v21) = v22) | ~ $i(v21) | ~ setIn(v21, alive) | ? [v23:
% 220.38/30.02 | $i] : ? [v24: $i] : ((v24 = v21 & index(elid, v22) = v21) | ( ~
% 220.38/30.02 | (v23 = elec_1) & ~ (v23 = elec_2) & index(status, v22) = v23 &
% 220.38/30.02 | $i(v23)))) & ! [v21: $i] : (v21 = v18 | ~ $i(v21) | ~
% 220.38/30.02 | leq(v0, v21) | leq(nbr_proc, v21) | setIn(v21, v17)) & ((v8 =
% 220.38/30.02 | elec_1 & ~ (elec_1 = elec_2)) | ( ~ (v10 = v9) & index(pendack,
% 220.38/30.02 | nbr_proc) = v10 & host(v4) = v9 & $i(v10) & $i(v9)) | ( ~ (v7 =
% 220.38/30.02 | v2) & index(elid, nbr_proc) = v7 & $i(v7))))
% 220.38/30.02 |
% 220.38/30.02 | ALPHA: (function-axioms) implies:
% 220.38/30.02 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (queue(v2) =
% 220.38/30.02 | v1) | ~ (queue(v2) = v0))
% 220.38/30.02 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (host(v2) = v1)
% 220.38/30.02 | | ~ (host(v2) = v0))
% 220.38/30.02 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (s(v2) = v1) |
% 220.38/30.02 | ~ (s(v2) = v0))
% 220.38/30.02 |
% 220.38/30.02 | DELTA: instantiating (1) with fresh symbol all_50_0 gives:
% 220.38/30.02 | (7) s(zero) = all_50_0 & $i(all_50_0) & leq(all_50_0, nbr_proc)
% 220.38/30.02 |
% 220.38/30.02 | ALPHA: (7) implies:
% 220.38/30.02 | (8) s(zero) = all_50_0
% 220.38/30.02 |
% 220.38/30.02 | DELTA: instantiating (3) with fresh symbols all_65_0, all_65_1, all_65_2,
% 220.38/30.02 | all_65_3, all_65_4, all_65_5, all_65_6, all_65_7, all_65_8, all_65_9,
% 220.38/30.02 | all_65_10, all_65_11, all_65_12, all_65_13, all_65_14, all_65_15,
% 220.38/30.02 | all_65_16, all_65_17, all_65_18, all_65_19, all_65_20 gives:
% 220.38/30.03 | (9) ~ (all_65_8 = nbr_proc) & index(down, nbr_proc) = all_65_3 &
% 220.38/30.03 | index(status, nbr_proc) = elec_1 & cons(all_65_14, all_65_19) =
% 220.38/30.03 | all_65_15 & m_Down(all_65_5) = all_65_1 & m_Down(all_65_6) = all_65_0 &
% 220.38/30.03 | s(zero) = all_65_20 & m_Ack(all_65_18, all_65_16) = all_65_14 &
% 220.38/30.03 | host(all_65_4) = nbr_proc & host(all_65_5) = all_65_2 & host(all_65_6)
% 220.38/30.03 | = nbr_proc & host(all_65_9) = all_65_8 & host(all_65_17) = nbr_proc &
% 220.38/30.03 | queue(all_65_8) = all_65_7 & queue(nbr_proc) = all_65_15 & $i(all_65_0)
% 220.38/30.03 | & $i(all_65_1) & $i(all_65_2) & $i(all_65_3) & $i(all_65_4) &
% 220.38/30.03 | $i(all_65_5) & $i(all_65_6) & $i(all_65_7) & $i(all_65_8) &
% 220.38/30.03 | $i(all_65_9) & $i(all_65_14) & $i(all_65_15) & $i(all_65_16) &
% 220.38/30.03 | $i(all_65_17) & $i(all_65_18) & $i(all_65_19) & $i(all_65_20) &
% 220.38/30.03 | setIn(all_65_9, alive) & setIn(all_65_17, alive) & elem(all_65_0,
% 220.38/30.03 | all_65_7) & elem(all_65_1, all_65_19) & ! [v0: $i] : ! [v1: $i] :
% 220.38/30.03 | ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 220.38/30.03 | [v7: $i] : (v5 = v4 | ~ (m_Down(v3) = v6) | ~ (m_Down(v1) = v7) | ~
% 220.38/30.03 | (host(v2) = v4) | ~ (host(v0) = v5) | ~ $i(v3) | ~ $i(v2) | ~
% 220.38/30.03 | $i(v1) | ~ $i(v0) | ~ setIn(v2, alive) | ~ setIn(v0, alive) | ?
% 220.38/30.03 | [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : (( ~ (v9 = v4)
% 220.38/30.03 | & host(v3) = v9 & $i(v9)) | ( ~ (v8 = v5) & host(v1) = v8 &
% 220.38/30.03 | $i(v8)) | (queue(v5) = v10 & $i(v10) & ~ elem(v6, v10)) |
% 220.38/30.03 | (queue(v4) = v11 & $i(v11) & ~ elem(v7, v11)))) & ! [v0: $i] : !
% 220.38/30.03 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 220.38/30.03 | [v6: $i] : (v5 = v4 | ~ (m_Down(v3) = v6) | ~ (host(v2) = v4) | ~
% 220.38/30.03 | (host(v1) = v5) | ~ (host(v0) = v5) | ~ $i(v3) | ~ $i(v2) | ~
% 220.38/30.03 | $i(v1) | ~ $i(v0) | ~ setIn(v2, alive) | ~ setIn(v0, alive) | ?
% 220.38/30.03 | [v7: $i] : ? [v8: $i] : ? [v9: $i] : (( ~ (v7 = v4) & host(v3) = v7
% 220.38/30.03 | & $i(v7)) | (index(down, v4) = v9 & $i(v9) & ~ setIn(v5, v9)) |
% 220.38/30.03 | (queue(v5) = v8 & $i(v8) & ~ elem(v6, v8)))) & ! [v0: $i] : !
% 220.38/30.03 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 220.38/30.03 | [v6: $i] : ( ~ (m_Down(v2) = v4) | ~ (m_Down(v1) = v5) | ~ (host(v3)
% 220.38/30.03 | = nbr_proc) | ~ (host(v0) = v6) | ~ $i(v3) | ~ $i(v2) | ~
% 220.38/30.03 | $i(v1) | ~ $i(v0) | ~ setIn(v0, alive) | ? [v7: int] : ? [v8: $i]
% 220.38/30.03 | : ? [v9: int] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] :
% 220.38/30.03 | ($i(v12) & ((v9 = all_65_15 & ~ elem(v4, all_65_15)) | (v7 =
% 220.38/30.03 | all_65_3 & ~ (v12 = v8) & host(v2) = v8 & $i(v8) &
% 220.38/30.03 | leq(all_65_20, v12) & ~ leq(nbr_proc, v12) & ~ setIn(v12,
% 220.38/30.03 | all_65_3)) | ( ~ (v10 = nbr_proc) & host(v1) = v10 & $i(v10))
% 220.38/30.03 | | (queue(v6) = v11 & $i(v11) & ~ elem(v5, v11))))) & ! [v0: $i]
% 220.38/30.03 | : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] :
% 220.38/30.03 | (v4 = v3 | ~ (m_Down(v0) = v5) | ~ (host(v2) = v3) | ~ (host(v1) =
% 220.38/30.03 | v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v2, alive) | ?
% 220.38/30.03 | [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] :
% 220.38/30.03 | (( ~ (v9 = v4) & index(elid, v3) = v8 & host(v8) = v9 & $i(v9) &
% 220.38/30.03 | $i(v8)) | ( ~ (v7 = wait) & index(status, v3) = v7 & $i(v7)) | (
% 220.38/30.03 | ~ (v6 = v3) & host(v0) = v6 & $i(v6)) | (queue(v4) = v10 &
% 220.38/30.03 | $i(v10) & ~ elem(v5, v10)))) & ! [v0: $i] : ! [v1: $i] : !
% 220.38/30.03 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v4 = v3 | ~
% 220.38/30.03 | (m_Down(v0) = v5) | ~ (host(v2) = v3) | ~ (host(v1) = v4) | ~
% 220.38/30.03 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v2, alive) | ? [v6: $i] :
% 220.38/30.03 | ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : (( ~ (v8 = v4) & index(ldr,
% 220.38/30.03 | v3) = v8 & $i(v8)) | ( ~ (v7 = norm) & index(status, v3) = v7 &
% 220.38/30.03 | $i(v7)) | ( ~ (v6 = v3) & host(v0) = v6 & $i(v6)) | (queue(v4) =
% 220.38/30.03 | v9 & $i(v9) & ~ elem(v5, v9)))) & ! [v0: $i] : ! [v1: $i] : !
% 220.38/30.03 | [v2: $i] : ! [v3: $i] : ( ~ (m_Ldr(v1) = v2) | ~ (host(v0) = v3) | ~
% 220.38/30.03 | $i(v1) | ~ $i(v0) | ? [v4: $i] : ? [v5: $i] : ((host(v1) = v5 &
% 220.38/30.03 | $i(v5) & ~ leq(v3, v5)) | (queue(v3) = v4 & $i(v4) & ~ elem(v2,
% 220.38/30.03 | v4)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i]
% 220.38/30.03 | : ( ~ (m_Down(v1) = v2) | ~ (host(v0) = v3) | ~ $i(v1) | ~ $i(v0) |
% 220.38/30.03 | ? [v4: $i] : ? [v5: $i] : (( ~ (v5 = v3) & host(v1) = v5 & $i(v5)) |
% 220.38/30.03 | (queue(v3) = v4 & $i(v4) & ~ elem(v2, v4)))) & ! [v0: $i] : !
% 220.38/30.03 | [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (host(v1) = v2) | ~ (host(v0) =
% 220.38/30.03 | v2) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v1, alive) | ~ setIn(v0,
% 220.38/30.03 | alive)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 220.38/30.03 | (m_NotNorm(v0) = v2) | ~ (host(v1) = nbr_proc) | ~ $i(v1) | ~
% 220.38/30.03 | $i(v0) | ~ elem(v2, all_65_15)) & ! [v0: $i] : ! [v1: $i] : ( ~
% 220.38/30.03 | (host(v0) = v1) | ~ $i(v0) | ~ setIn(v0, alive) | ? [v2: $i] : ?
% 220.38/30.03 | [v3: $i] : ((v3 = v0 & index(elid, v1) = v0) | ( ~ (v2 = elec_1) & ~
% 220.38/30.03 | (v2 = elec_2) & index(status, v1) = v2 & $i(v2)))) & ! [v0: any]
% 220.38/30.03 | : (v0 = all_65_2 | ~ $i(v0) | ~ leq(all_65_20, v0) | leq(nbr_proc,
% 220.38/30.03 | v0) | setIn(v0, all_65_3)) & ((all_65_12 = elec_1 & ~ (elec_1 =
% 220.38/30.03 | elec_2)) | ( ~ (all_65_10 = all_65_11) & index(pendack, nbr_proc)
% 220.38/30.03 | = all_65_10 & host(all_65_16) = all_65_11 & $i(all_65_10) &
% 220.38/30.03 | $i(all_65_11)) | ( ~ (all_65_13 = all_65_18) & index(elid,
% 220.38/30.03 | nbr_proc) = all_65_13 & $i(all_65_13)))
% 220.38/30.03 |
% 220.38/30.03 | ALPHA: (9) implies:
% 220.38/30.03 | (10) ~ (all_65_8 = nbr_proc)
% 220.38/30.03 | (11) elem(all_65_1, all_65_19)
% 220.38/30.04 | (12) elem(all_65_0, all_65_7)
% 220.38/30.04 | (13) setIn(all_65_17, alive)
% 220.38/30.04 | (14) setIn(all_65_9, alive)
% 220.38/30.04 | (15) $i(all_65_19)
% 220.38/30.04 | (16) $i(all_65_17)
% 220.38/30.04 | (17) $i(all_65_14)
% 220.38/30.04 | (18) $i(all_65_9)
% 220.38/30.04 | (19) $i(all_65_6)
% 220.38/30.04 | (20) $i(all_65_5)
% 220.38/30.04 | (21) $i(all_65_1)
% 220.38/30.04 | (22) queue(nbr_proc) = all_65_15
% 220.38/30.04 | (23) queue(all_65_8) = all_65_7
% 220.38/30.04 | (24) host(all_65_17) = nbr_proc
% 220.38/30.04 | (25) host(all_65_9) = all_65_8
% 220.38/30.04 | (26) host(all_65_6) = nbr_proc
% 220.38/30.04 | (27) host(all_65_5) = all_65_2
% 220.38/30.04 | (28) s(zero) = all_65_20
% 220.38/30.04 | (29) m_Down(all_65_6) = all_65_0
% 220.38/30.04 | (30) m_Down(all_65_5) = all_65_1
% 220.38/30.04 | (31) cons(all_65_14, all_65_19) = all_65_15
% 220.38/30.04 | (32) ! [v0: any] : (v0 = all_65_2 | ~ $i(v0) | ~ leq(all_65_20, v0) |
% 220.38/30.04 | leq(nbr_proc, v0) | setIn(v0, all_65_3))
% 220.38/30.04 | (33) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 220.38/30.04 | (m_Down(v1) = v2) | ~ (host(v0) = v3) | ~ $i(v1) | ~ $i(v0) | ?
% 220.38/30.04 | [v4: $i] : ? [v5: $i] : (( ~ (v5 = v3) & host(v1) = v5 & $i(v5)) |
% 220.38/30.04 | (queue(v3) = v4 & $i(v4) & ~ elem(v2, v4))))
% 220.38/30.04 | (34) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 220.38/30.04 | ! [v5: $i] : (v4 = v3 | ~ (m_Down(v0) = v5) | ~ (host(v2) = v3) | ~
% 220.38/30.04 | (host(v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v2,
% 220.38/30.04 | alive) | ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 220.38/30.04 | ? [v10: $i] : (( ~ (v9 = v4) & index(elid, v3) = v8 & host(v8) = v9
% 220.38/30.04 | & $i(v9) & $i(v8)) | ( ~ (v7 = wait) & index(status, v3) = v7 &
% 220.38/30.04 | $i(v7)) | ( ~ (v6 = v3) & host(v0) = v6 & $i(v6)) | (queue(v4) =
% 220.38/30.04 | v10 & $i(v10) & ~ elem(v5, v10))))
% 220.38/30.04 | (35) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 220.38/30.04 | ! [v5: $i] : ! [v6: $i] : ( ~ (m_Down(v2) = v4) | ~ (m_Down(v1) =
% 220.38/30.04 | v5) | ~ (host(v3) = nbr_proc) | ~ (host(v0) = v6) | ~ $i(v3) |
% 220.38/30.04 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v0, alive) | ? [v7:
% 220.38/30.04 | int] : ? [v8: $i] : ? [v9: int] : ? [v10: $i] : ? [v11: $i] :
% 220.38/30.04 | ? [v12: $i] : ($i(v12) & ((v9 = all_65_15 & ~ elem(v4, all_65_15))
% 220.38/30.04 | | (v7 = all_65_3 & ~ (v12 = v8) & host(v2) = v8 & $i(v8) &
% 220.38/30.04 | leq(all_65_20, v12) & ~ leq(nbr_proc, v12) & ~ setIn(v12,
% 220.38/30.04 | all_65_3)) | ( ~ (v10 = nbr_proc) & host(v1) = v10 &
% 220.38/30.04 | $i(v10)) | (queue(v6) = v11 & $i(v11) & ~ elem(v5, v11)))))
% 220.38/30.04 | (36) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 220.38/30.04 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : (v5 = v4 | ~ (m_Down(v3) =
% 220.38/30.04 | v6) | ~ (m_Down(v1) = v7) | ~ (host(v2) = v4) | ~ (host(v0) =
% 220.38/30.04 | v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v2,
% 220.38/30.04 | alive) | ~ setIn(v0, alive) | ? [v8: $i] : ? [v9: $i] : ?
% 220.38/30.04 | [v10: $i] : ? [v11: $i] : (( ~ (v9 = v4) & host(v3) = v9 & $i(v9))
% 220.38/30.04 | | ( ~ (v8 = v5) & host(v1) = v8 & $i(v8)) | (queue(v5) = v10 &
% 220.38/30.04 | $i(v10) & ~ elem(v6, v10)) | (queue(v4) = v11 & $i(v11) & ~
% 220.38/30.04 | elem(v7, v11))))
% 220.38/30.04 |
% 220.38/30.04 | GROUND_INST: instantiating (6) with all_50_0, all_65_20, zero, simplifying
% 220.38/30.04 | with (8), (28) gives:
% 220.38/30.04 | (37) all_65_20 = all_50_0
% 220.38/30.04 |
% 220.38/30.04 | GROUND_INST: instantiating (34) with all_65_6, all_65_17, all_65_9, all_65_8,
% 220.38/30.04 | nbr_proc, all_65_0, simplifying with (14), (16), (18), (19),
% 220.38/30.04 | (24), (25), (29) gives:
% 220.38/30.04 | (38) all_65_8 = nbr_proc | ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ?
% 220.38/30.04 | [v3: $i] : ? [v4: $i] : (( ~ (v3 = nbr_proc) & index(elid, all_65_8)
% 220.38/30.04 | = v2 & host(v2) = v3 & $i(v3) & $i(v2)) | ( ~ (v1 = wait) &
% 220.38/30.04 | index(status, all_65_8) = v1 & $i(v1)) | ( ~ (v0 = all_65_8) &
% 220.38/30.05 | host(all_65_6) = v0 & $i(v0)) | (queue(nbr_proc) = v4 & $i(v4) &
% 220.38/30.05 | ~ elem(all_65_0, v4)))
% 220.38/30.05 |
% 220.38/30.05 | GROUND_INST: instantiating (33) with all_65_17, all_65_6, all_65_0, nbr_proc,
% 220.38/30.05 | simplifying with (16), (19), (24), (29) gives:
% 220.38/30.05 | (39) ? [v0: $i] : ? [v1: $i] : (( ~ (v1 = nbr_proc) & host(all_65_6) = v1
% 220.38/30.05 | & $i(v1)) | (queue(nbr_proc) = v0 & $i(v0) & ~ elem(all_65_0,
% 220.38/30.05 | v0)))
% 220.38/30.05 |
% 220.38/30.05 | GROUND_INST: instantiating (36) with all_65_9, all_65_5, all_65_17, all_65_6,
% 220.38/30.05 | nbr_proc, all_65_8, all_65_0, all_65_1, simplifying with (13),
% 220.38/30.05 | (14), (16), (18), (19), (20), (24), (25), (29), (30) gives:
% 220.38/30.05 | (40) all_65_8 = nbr_proc | ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ?
% 220.38/30.05 | [v3: $i] : (( ~ (v1 = nbr_proc) & host(all_65_6) = v1 & $i(v1)) | ( ~
% 220.38/30.05 | (v0 = all_65_8) & host(all_65_5) = v0 & $i(v0)) | (queue(all_65_8)
% 220.38/30.05 | = v2 & $i(v2) & ~ elem(all_65_0, v2)) | (queue(nbr_proc) = v3 &
% 220.38/30.05 | $i(v3) & ~ elem(all_65_1, v3)))
% 220.38/30.05 |
% 220.38/30.05 | GROUND_INST: instantiating (36) with all_65_17, all_65_6, all_65_9, all_65_5,
% 220.38/30.05 | all_65_8, nbr_proc, all_65_1, all_65_0, simplifying with (13),
% 220.38/30.05 | (14), (16), (18), (19), (20), (24), (25), (29), (30) gives:
% 220.38/30.05 | (41) all_65_8 = nbr_proc | ? [v0: $i] : ? [v1: any] : ? [v2: $i] : ?
% 220.38/30.05 | [v3: $i] : (( ~ (v1 = all_65_8) & host(all_65_5) = v1 & $i(v1)) | ( ~
% 220.38/30.05 | (v0 = nbr_proc) & host(all_65_6) = v0 & $i(v0)) | (queue(all_65_8)
% 220.38/30.05 | = v3 & $i(v3) & ~ elem(all_65_0, v3)) | (queue(nbr_proc) = v2 &
% 220.38/30.05 | $i(v2) & ~ elem(all_65_1, v2)))
% 220.38/30.05 |
% 220.38/30.05 | GROUND_INST: instantiating (35) with all_65_9, all_65_6, all_65_5, all_65_17,
% 220.38/30.05 | all_65_1, all_65_0, all_65_8, simplifying with (14), (16), (18),
% 220.38/30.05 | (19), (20), (24), (25), (29), (30) gives:
% 220.38/30.05 | (42) ? [v0: int] : ? [v1: $i] : ? [v2: int] : ? [v3: $i] : ? [v4: $i]
% 220.38/30.05 | : ? [v5: $i] : ($i(v5) & ((v2 = all_65_15 & ~ elem(all_65_1,
% 220.38/30.05 | all_65_15)) | (v0 = all_65_3 & ~ (v5 = v1) & host(all_65_5) =
% 220.38/30.05 | v1 & $i(v1) & leq(all_65_20, v5) & ~ leq(nbr_proc, v5) & ~
% 220.38/30.05 | setIn(v5, all_65_3)) | ( ~ (v3 = nbr_proc) & host(all_65_6) = v3
% 220.38/30.05 | & $i(v3)) | (queue(all_65_8) = v4 & $i(v4) & ~ elem(all_65_0,
% 220.38/30.05 | v4))))
% 220.38/30.05 |
% 220.38/30.05 | GROUND_INST: instantiating (34) with all_65_5, all_65_5, all_65_9, all_65_8,
% 220.38/30.05 | all_65_2, all_65_1, simplifying with (14), (18), (20), (25),
% 220.38/30.05 | (27), (30) gives:
% 220.38/30.05 | (43) all_65_2 = all_65_8 | ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ?
% 220.38/30.05 | [v3: any] : ? [v4: $i] : (( ~ (v3 = all_65_2) & index(elid, all_65_8)
% 220.38/30.05 | = v2 & host(v2) = v3 & $i(v3) & $i(v2)) | ( ~ (v1 = wait) &
% 220.38/30.05 | index(status, all_65_8) = v1 & $i(v1)) | ( ~ (v0 = all_65_8) &
% 220.38/30.05 | host(all_65_5) = v0 & $i(v0)) | (queue(all_65_2) = v4 & $i(v4) &
% 220.38/30.05 | ~ elem(all_65_1, v4)))
% 220.38/30.05 |
% 220.67/30.05 | GROUND_INST: instantiating (33) with all_65_17, all_65_5, all_65_1, nbr_proc,
% 220.67/30.05 | simplifying with (16), (20), (24), (30) gives:
% 220.67/30.05 | (44) ? [v0: $i] : ? [v1: $i] : (( ~ (v1 = nbr_proc) & host(all_65_5) = v1
% 220.67/30.05 | & $i(v1)) | (queue(nbr_proc) = v0 & $i(v0) & ~ elem(all_65_1,
% 220.67/30.05 | v0)))
% 220.67/30.05 |
% 220.67/30.05 | GROUND_INST: instantiating (2) with all_65_1, all_65_14, all_65_19, all_65_15,
% 220.67/30.05 | simplifying with (11), (15), (17), (21), (31) gives:
% 220.67/30.05 | (45) elem(all_65_1, all_65_15)
% 220.67/30.05 |
% 220.67/30.05 | DELTA: instantiating (39) with fresh symbols all_87_0, all_87_1 gives:
% 220.67/30.05 | (46) ( ~ (all_87_0 = nbr_proc) & host(all_65_6) = all_87_0 & $i(all_87_0))
% 220.67/30.05 | | (queue(nbr_proc) = all_87_1 & $i(all_87_1) & ~ elem(all_65_0,
% 220.67/30.05 | all_87_1))
% 220.67/30.05 |
% 220.67/30.05 | DELTA: instantiating (44) with fresh symbols all_89_0, all_89_1 gives:
% 220.67/30.05 | (47) ( ~ (all_89_0 = nbr_proc) & host(all_65_5) = all_89_0 & $i(all_89_0))
% 220.67/30.05 | | (queue(nbr_proc) = all_89_1 & $i(all_89_1) & ~ elem(all_65_1,
% 220.67/30.05 | all_89_1))
% 220.67/30.05 |
% 220.67/30.05 | DELTA: instantiating (42) with fresh symbols all_101_0, all_101_1, all_101_2,
% 220.67/30.05 | all_101_3, all_101_4, all_101_5 gives:
% 220.67/30.05 | (48) $i(all_101_0) & ((all_101_3 = all_65_15 & ~ elem(all_65_1,
% 220.67/30.05 | all_65_15)) | (all_101_5 = all_65_3 & ~ (all_101_0 = all_101_4)
% 220.67/30.05 | & host(all_65_5) = all_101_4 & $i(all_101_4) & leq(all_65_20,
% 220.67/30.05 | all_101_0) & ~ leq(nbr_proc, all_101_0) & ~ setIn(all_101_0,
% 220.67/30.05 | all_65_3)) | ( ~ (all_101_2 = nbr_proc) & host(all_65_6) =
% 220.67/30.05 | all_101_2 & $i(all_101_2)) | (queue(all_65_8) = all_101_1 &
% 220.67/30.05 | $i(all_101_1) & ~ elem(all_65_0, all_101_1)))
% 220.67/30.05 |
% 220.67/30.05 | ALPHA: (48) implies:
% 220.67/30.05 | (49) $i(all_101_0)
% 220.67/30.05 | (50) (all_101_3 = all_65_15 & ~ elem(all_65_1, all_65_15)) | (all_101_5 =
% 220.67/30.05 | all_65_3 & ~ (all_101_0 = all_101_4) & host(all_65_5) = all_101_4 &
% 220.67/30.05 | $i(all_101_4) & leq(all_65_20, all_101_0) & ~ leq(nbr_proc,
% 220.67/30.05 | all_101_0) & ~ setIn(all_101_0, all_65_3)) | ( ~ (all_101_2 =
% 220.67/30.05 | nbr_proc) & host(all_65_6) = all_101_2 & $i(all_101_2)) |
% 220.67/30.05 | (queue(all_65_8) = all_101_1 & $i(all_101_1) & ~ elem(all_65_0,
% 220.67/30.06 | all_101_1))
% 220.67/30.06 |
% 220.67/30.06 | BETA: splitting (50) gives:
% 220.67/30.06 |
% 220.67/30.06 | Case 1:
% 220.67/30.06 | |
% 220.67/30.06 | | (51) (all_101_3 = all_65_15 & ~ elem(all_65_1, all_65_15)) | (all_101_5
% 220.67/30.06 | | = all_65_3 & ~ (all_101_0 = all_101_4) & host(all_65_5) =
% 220.67/30.06 | | all_101_4 & $i(all_101_4) & leq(all_65_20, all_101_0) & ~
% 220.67/30.06 | | leq(nbr_proc, all_101_0) & ~ setIn(all_101_0, all_65_3))
% 220.67/30.06 | |
% 220.67/30.06 | | BETA: splitting (51) gives:
% 220.67/30.06 | |
% 220.67/30.06 | | Case 1:
% 220.67/30.06 | | |
% 220.67/30.06 | | | (52) all_101_3 = all_65_15 & ~ elem(all_65_1, all_65_15)
% 220.67/30.06 | | |
% 220.67/30.06 | | | ALPHA: (52) implies:
% 220.67/30.06 | | | (53) ~ elem(all_65_1, all_65_15)
% 220.67/30.06 | | |
% 220.67/30.06 | | | PRED_UNIFY: (45), (53) imply:
% 220.67/30.06 | | | (54) $false
% 220.67/30.06 | | |
% 220.67/30.06 | | | CLOSE: (54) is inconsistent.
% 220.67/30.06 | | |
% 220.67/30.06 | | Case 2:
% 220.67/30.06 | | |
% 220.67/30.06 | | | (55) all_101_5 = all_65_3 & ~ (all_101_0 = all_101_4) & host(all_65_5)
% 220.67/30.06 | | | = all_101_4 & $i(all_101_4) & leq(all_65_20, all_101_0) & ~
% 220.67/30.06 | | | leq(nbr_proc, all_101_0) & ~ setIn(all_101_0, all_65_3)
% 220.67/30.06 | | |
% 220.67/30.06 | | | ALPHA: (55) implies:
% 220.67/30.06 | | | (56) ~ (all_101_0 = all_101_4)
% 220.67/30.06 | | | (57) ~ setIn(all_101_0, all_65_3)
% 220.67/30.06 | | | (58) ~ leq(nbr_proc, all_101_0)
% 220.67/30.06 | | | (59) leq(all_65_20, all_101_0)
% 220.67/30.06 | | | (60) host(all_65_5) = all_101_4
% 220.67/30.06 | | |
% 220.67/30.06 | | | REDUCE: (37), (59) imply:
% 220.67/30.06 | | | (61) leq(all_50_0, all_101_0)
% 220.67/30.06 | | |
% 220.67/30.06 | | | BETA: splitting (47) gives:
% 220.67/30.06 | | |
% 220.67/30.06 | | | Case 1:
% 220.67/30.06 | | | |
% 220.67/30.06 | | | | (62) ~ (all_89_0 = nbr_proc) & host(all_65_5) = all_89_0 &
% 220.67/30.06 | | | | $i(all_89_0)
% 220.67/30.06 | | | |
% 220.67/30.06 | | | | ALPHA: (62) implies:
% 220.67/30.06 | | | | (63) host(all_65_5) = all_89_0
% 220.67/30.06 | | | |
% 220.67/30.06 | | | | BETA: splitting (41) gives:
% 220.67/30.06 | | | |
% 220.67/30.06 | | | | Case 1:
% 220.67/30.06 | | | | |
% 220.67/30.06 | | | | | (64) all_65_8 = nbr_proc
% 220.67/30.06 | | | | |
% 220.67/30.06 | | | | | REDUCE: (10), (64) imply:
% 220.67/30.06 | | | | | (65) $false
% 220.67/30.06 | | | | |
% 220.67/30.06 | | | | | CLOSE: (65) is inconsistent.
% 220.67/30.06 | | | | |
% 220.67/30.06 | | | | Case 2:
% 220.67/30.06 | | | | |
% 220.67/30.06 | | | | | (66) ? [v0: $i] : ? [v1: any] : ? [v2: $i] : ? [v3: $i] : (( ~
% 220.67/30.06 | | | | | (v1 = all_65_8) & host(all_65_5) = v1 & $i(v1)) | ( ~ (v0
% 220.67/30.06 | | | | | = nbr_proc) & host(all_65_6) = v0 & $i(v0)) |
% 220.67/30.06 | | | | | (queue(all_65_8) = v3 & $i(v3) & ~ elem(all_65_0, v3)) |
% 220.67/30.06 | | | | | (queue(nbr_proc) = v2 & $i(v2) & ~ elem(all_65_1, v2)))
% 220.67/30.06 | | | | |
% 220.67/30.06 | | | | | DELTA: instantiating (66) with fresh symbols all_151_0, all_151_1,
% 220.67/30.06 | | | | | all_151_2, all_151_3 gives:
% 220.67/30.06 | | | | | (67) ( ~ (all_151_2 = all_65_8) & host(all_65_5) = all_151_2 &
% 220.67/30.06 | | | | | $i(all_151_2)) | ( ~ (all_151_3 = nbr_proc) & host(all_65_6)
% 220.67/30.06 | | | | | = all_151_3 & $i(all_151_3)) | (queue(all_65_8) = all_151_0
% 220.67/30.06 | | | | | & $i(all_151_0) & ~ elem(all_65_0, all_151_0)) |
% 220.67/30.06 | | | | | (queue(nbr_proc) = all_151_1 & $i(all_151_1) & ~
% 220.67/30.06 | | | | | elem(all_65_1, all_151_1))
% 220.67/30.06 | | | | |
% 220.67/30.06 | | | | | BETA: splitting (46) gives:
% 220.67/30.06 | | | | |
% 220.67/30.06 | | | | | Case 1:
% 220.67/30.06 | | | | | |
% 220.67/30.06 | | | | | | (68) ~ (all_87_0 = nbr_proc) & host(all_65_6) = all_87_0 &
% 220.67/30.06 | | | | | | $i(all_87_0)
% 220.67/30.06 | | | | | |
% 220.67/30.06 | | | | | | ALPHA: (68) implies:
% 220.67/30.06 | | | | | | (69) ~ (all_87_0 = nbr_proc)
% 220.67/30.06 | | | | | | (70) host(all_65_6) = all_87_0
% 220.67/30.06 | | | | | |
% 220.67/30.06 | | | | | | GROUND_INST: instantiating (5) with nbr_proc, all_87_0, all_65_6,
% 220.67/30.06 | | | | | | simplifying with (26), (70) gives:
% 220.67/30.06 | | | | | | (71) all_87_0 = nbr_proc
% 220.67/30.06 | | | | | |
% 220.67/30.06 | | | | | | REDUCE: (69), (71) imply:
% 220.67/30.06 | | | | | | (72) $false
% 220.67/30.06 | | | | | |
% 220.67/30.06 | | | | | | CLOSE: (72) is inconsistent.
% 220.67/30.06 | | | | | |
% 220.67/30.06 | | | | | Case 2:
% 220.67/30.06 | | | | | |
% 220.67/30.06 | | | | | | (73) queue(nbr_proc) = all_87_1 & $i(all_87_1) & ~
% 220.67/30.06 | | | | | | elem(all_65_0, all_87_1)
% 220.67/30.06 | | | | | |
% 220.67/30.06 | | | | | | ALPHA: (73) implies:
% 220.67/30.06 | | | | | | (74) queue(nbr_proc) = all_87_1
% 220.67/30.06 | | | | | |
% 220.67/30.06 | | | | | | BETA: splitting (40) gives:
% 220.67/30.06 | | | | | |
% 220.67/30.06 | | | | | | Case 1:
% 220.67/30.06 | | | | | | |
% 220.67/30.06 | | | | | | | (75) all_65_8 = nbr_proc
% 220.67/30.06 | | | | | | |
% 220.67/30.06 | | | | | | | REDUCE: (10), (75) imply:
% 220.67/30.06 | | | | | | | (76) $false
% 220.67/30.06 | | | | | | |
% 220.67/30.06 | | | | | | | CLOSE: (76) is inconsistent.
% 220.67/30.06 | | | | | | |
% 220.67/30.06 | | | | | | Case 2:
% 220.67/30.06 | | | | | | |
% 220.67/30.06 | | | | | | | (77) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 220.67/30.06 | | | | | | | (( ~ (v1 = nbr_proc) & host(all_65_6) = v1 & $i(v1)) | ( ~
% 220.67/30.06 | | | | | | | (v0 = all_65_8) & host(all_65_5) = v0 & $i(v0)) |
% 220.67/30.06 | | | | | | | (queue(all_65_8) = v2 & $i(v2) & ~ elem(all_65_0, v2))
% 220.67/30.06 | | | | | | | | (queue(nbr_proc) = v3 & $i(v3) & ~ elem(all_65_1,
% 220.67/30.06 | | | | | | | v3)))
% 220.67/30.06 | | | | | | |
% 220.67/30.06 | | | | | | | DELTA: instantiating (77) with fresh symbols all_184_0, all_184_1,
% 220.67/30.06 | | | | | | | all_184_2, all_184_3 gives:
% 220.67/30.06 | | | | | | | (78) ( ~ (all_184_2 = nbr_proc) & host(all_65_6) = all_184_2 &
% 220.67/30.06 | | | | | | | $i(all_184_2)) | ( ~ (all_184_3 = all_65_8) &
% 220.67/30.06 | | | | | | | host(all_65_5) = all_184_3 & $i(all_184_3)) |
% 220.67/30.06 | | | | | | | (queue(all_65_8) = all_184_1 & $i(all_184_1) & ~
% 220.67/30.06 | | | | | | | elem(all_65_0, all_184_1)) | (queue(nbr_proc) =
% 220.67/30.06 | | | | | | | all_184_0 & $i(all_184_0) & ~ elem(all_65_1,
% 220.67/30.06 | | | | | | | all_184_0))
% 220.67/30.06 | | | | | | |
% 220.67/30.06 | | | | | | | BETA: splitting (38) gives:
% 220.67/30.06 | | | | | | |
% 220.67/30.06 | | | | | | | Case 1:
% 220.67/30.06 | | | | | | | |
% 220.67/30.06 | | | | | | | | (79) all_65_8 = nbr_proc
% 220.67/30.06 | | | | | | | |
% 220.67/30.06 | | | | | | | | REDUCE: (10), (79) imply:
% 220.67/30.06 | | | | | | | | (80) $false
% 220.67/30.06 | | | | | | | |
% 220.67/30.06 | | | | | | | | CLOSE: (80) is inconsistent.
% 220.67/30.06 | | | | | | | |
% 220.67/30.06 | | | | | | | Case 2:
% 220.67/30.06 | | | | | | | |
% 220.67/30.06 | | | | | | | |
% 220.67/30.06 | | | | | | | | GROUND_INST: instantiating (4) with all_65_15, all_87_1,
% 220.67/30.06 | | | | | | | | nbr_proc, simplifying with (22), (74) gives:
% 220.67/30.07 | | | | | | | | (81) all_87_1 = all_65_15
% 220.67/30.07 | | | | | | | |
% 220.67/30.07 | | | | | | | | GROUND_INST: instantiating (5) with all_65_2, all_101_4,
% 220.67/30.07 | | | | | | | | all_65_5, simplifying with (27), (60) gives:
% 220.67/30.07 | | | | | | | | (82) all_101_4 = all_65_2
% 220.67/30.07 | | | | | | | |
% 220.67/30.07 | | | | | | | | GROUND_INST: instantiating (5) with all_89_0, all_101_4,
% 220.67/30.07 | | | | | | | | all_65_5, simplifying with (60), (63) gives:
% 220.67/30.07 | | | | | | | | (83) all_101_4 = all_89_0
% 220.67/30.07 | | | | | | | |
% 220.67/30.07 | | | | | | | | COMBINE_EQS: (82), (83) imply:
% 220.67/30.07 | | | | | | | | (84) all_89_0 = all_65_2
% 220.67/30.07 | | | | | | | |
% 220.67/30.07 | | | | | | | | REDUCE: (56), (82) imply:
% 220.67/30.07 | | | | | | | | (85) ~ (all_101_0 = all_65_2)
% 220.67/30.07 | | | | | | | |
% 220.67/30.07 | | | | | | | | BETA: splitting (67) gives:
% 220.67/30.07 | | | | | | | |
% 220.67/30.07 | | | | | | | | Case 1:
% 220.67/30.07 | | | | | | | | |
% 220.67/30.07 | | | | | | | | | (86) ( ~ (all_151_2 = all_65_8) & host(all_65_5) =
% 220.67/30.07 | | | | | | | | | all_151_2 & $i(all_151_2)) | ( ~ (all_151_3 =
% 220.67/30.07 | | | | | | | | | nbr_proc) & host(all_65_6) = all_151_3 &
% 220.67/30.07 | | | | | | | | | $i(all_151_3))
% 220.67/30.07 | | | | | | | | |
% 220.67/30.07 | | | | | | | | | BETA: splitting (86) gives:
% 220.67/30.07 | | | | | | | | |
% 220.67/30.07 | | | | | | | | | Case 1:
% 220.67/30.07 | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | (87) ~ (all_151_2 = all_65_8) & host(all_65_5) =
% 220.67/30.07 | | | | | | | | | | all_151_2 & $i(all_151_2)
% 220.67/30.07 | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | ALPHA: (87) implies:
% 220.67/30.07 | | | | | | | | | | (88) ~ (all_151_2 = all_65_8)
% 220.67/30.07 | | | | | | | | | | (89) host(all_65_5) = all_151_2
% 220.67/30.07 | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | BETA: splitting (78) gives:
% 220.67/30.07 | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | Case 1:
% 220.67/30.07 | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | (90) ( ~ (all_184_2 = nbr_proc) & host(all_65_6) =
% 220.67/30.07 | | | | | | | | | | | all_184_2 & $i(all_184_2)) | ( ~ (all_184_3 =
% 220.67/30.07 | | | | | | | | | | | all_65_8) & host(all_65_5) = all_184_3 &
% 220.67/30.07 | | | | | | | | | | | $i(all_184_3))
% 220.67/30.07 | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | BETA: splitting (90) gives:
% 220.67/30.07 | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | Case 1:
% 220.67/30.07 | | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | | (91) ~ (all_184_2 = nbr_proc) & host(all_65_6) =
% 220.67/30.07 | | | | | | | | | | | | all_184_2 & $i(all_184_2)
% 220.67/30.07 | | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | | ALPHA: (91) implies:
% 220.67/30.07 | | | | | | | | | | | | (92) ~ (all_184_2 = nbr_proc)
% 220.67/30.07 | | | | | | | | | | | | (93) host(all_65_6) = all_184_2
% 220.67/30.07 | | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | | GROUND_INST: instantiating (5) with nbr_proc, all_184_2,
% 220.67/30.07 | | | | | | | | | | | | all_65_6, simplifying with (26), (93) gives:
% 220.67/30.07 | | | | | | | | | | | | (94) all_184_2 = nbr_proc
% 220.67/30.07 | | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | | REDUCE: (92), (94) imply:
% 220.67/30.07 | | | | | | | | | | | | (95) $false
% 220.67/30.07 | | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | | CLOSE: (95) is inconsistent.
% 220.67/30.07 | | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | Case 2:
% 220.67/30.07 | | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | | (96) ~ (all_184_3 = all_65_8) & host(all_65_5) =
% 220.67/30.07 | | | | | | | | | | | | all_184_3 & $i(all_184_3)
% 220.67/30.07 | | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | | ALPHA: (96) implies:
% 220.67/30.07 | | | | | | | | | | | | (97) host(all_65_5) = all_184_3
% 220.67/30.07 | | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | | GROUND_INST: instantiating (5) with all_65_2, all_184_3,
% 220.67/30.07 | | | | | | | | | | | | all_65_5, simplifying with (27), (97) gives:
% 220.67/30.07 | | | | | | | | | | | | (98) all_184_3 = all_65_2
% 220.67/30.07 | | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | | GROUND_INST: instantiating (5) with all_151_2, all_184_3,
% 220.67/30.07 | | | | | | | | | | | | all_65_5, simplifying with (89), (97) gives:
% 220.67/30.07 | | | | | | | | | | | | (99) all_184_3 = all_151_2
% 220.67/30.07 | | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | | COMBINE_EQS: (98), (99) imply:
% 220.67/30.07 | | | | | | | | | | | | (100) all_151_2 = all_65_2
% 220.67/30.07 | | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | | SIMP: (100) implies:
% 220.67/30.07 | | | | | | | | | | | | (101) all_151_2 = all_65_2
% 220.67/30.07 | | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | | REDUCE: (88), (101) imply:
% 220.67/30.07 | | | | | | | | | | | | (102) ~ (all_65_2 = all_65_8)
% 220.67/30.07 | | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | | BETA: splitting (43) gives:
% 220.67/30.07 | | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | | Case 1:
% 220.67/30.07 | | | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | | | (103) all_65_2 = all_65_8
% 220.67/30.07 | | | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | | | REDUCE: (102), (103) imply:
% 220.67/30.07 | | | | | | | | | | | | | (104) $false
% 220.67/30.07 | | | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | | | CLOSE: (104) is inconsistent.
% 220.67/30.07 | | | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | | Case 2:
% 220.67/30.07 | | | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | | | GROUND_INST: instantiating (32) with all_101_0, simplifying
% 220.67/30.07 | | | | | | | | | | | | | with (49), (57), (58) gives:
% 220.67/30.07 | | | | | | | | | | | | | (105) all_101_0 = all_65_2 | ~ leq(all_65_20,
% 220.67/30.07 | | | | | | | | | | | | | all_101_0)
% 220.67/30.07 | | | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | | | BETA: splitting (105) gives:
% 220.67/30.07 | | | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | | | Case 1:
% 220.67/30.07 | | | | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | | | | (106) ~ leq(all_65_20, all_101_0)
% 220.67/30.07 | | | | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | | | | REDUCE: (37), (106) imply:
% 220.67/30.07 | | | | | | | | | | | | | | (107) ~ leq(all_50_0, all_101_0)
% 220.67/30.07 | | | | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | | | | PRED_UNIFY: (61), (107) imply:
% 220.67/30.07 | | | | | | | | | | | | | | (108) $false
% 220.67/30.07 | | | | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | | | | CLOSE: (108) is inconsistent.
% 220.67/30.07 | | | | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | | | Case 2:
% 220.67/30.07 | | | | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | | | | (109) all_101_0 = all_65_2
% 220.67/30.07 | | | | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | | | | REDUCE: (85), (109) imply:
% 220.67/30.07 | | | | | | | | | | | | | | (110) $false
% 220.67/30.07 | | | | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | | | | CLOSE: (110) is inconsistent.
% 220.67/30.07 | | | | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | | | End of split
% 220.67/30.07 | | | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | | End of split
% 220.67/30.07 | | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | End of split
% 220.67/30.07 | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | Case 2:
% 220.67/30.07 | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | (111) (queue(all_65_8) = all_184_1 & $i(all_184_1) & ~
% 220.67/30.07 | | | | | | | | | | | elem(all_65_0, all_184_1)) | (queue(nbr_proc) =
% 220.67/30.07 | | | | | | | | | | | all_184_0 & $i(all_184_0) & ~ elem(all_65_1,
% 220.67/30.07 | | | | | | | | | | | all_184_0))
% 220.67/30.07 | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | BETA: splitting (111) gives:
% 220.67/30.07 | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | Case 1:
% 220.67/30.07 | | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | | (112) queue(all_65_8) = all_184_1 & $i(all_184_1) & ~
% 220.67/30.07 | | | | | | | | | | | | elem(all_65_0, all_184_1)
% 220.67/30.07 | | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | | ALPHA: (112) implies:
% 220.67/30.07 | | | | | | | | | | | | (113) ~ elem(all_65_0, all_184_1)
% 220.67/30.07 | | | | | | | | | | | | (114) queue(all_65_8) = all_184_1
% 220.67/30.07 | | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_65_7, all_184_1,
% 220.67/30.07 | | | | | | | | | | | | all_65_8, simplifying with (23), (114) gives:
% 220.67/30.07 | | | | | | | | | | | | (115) all_184_1 = all_65_7
% 220.67/30.07 | | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | | PRED_UNIFY: (12), (113) imply:
% 220.67/30.07 | | | | | | | | | | | | (116) ~ (all_184_1 = all_65_7)
% 220.67/30.07 | | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | | REDUCE: (115), (116) imply:
% 220.67/30.07 | | | | | | | | | | | | (117) $false
% 220.67/30.07 | | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | | CLOSE: (117) is inconsistent.
% 220.67/30.07 | | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | Case 2:
% 220.67/30.07 | | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | | (118) queue(nbr_proc) = all_184_0 & $i(all_184_0) & ~
% 220.67/30.07 | | | | | | | | | | | | elem(all_65_1, all_184_0)
% 220.67/30.07 | | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | | ALPHA: (118) implies:
% 220.67/30.07 | | | | | | | | | | | | (119) ~ elem(all_65_1, all_184_0)
% 220.67/30.07 | | | | | | | | | | | | (120) queue(nbr_proc) = all_184_0
% 220.67/30.07 | | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_65_15, all_184_0,
% 220.67/30.07 | | | | | | | | | | | | nbr_proc, simplifying with (22), (120) gives:
% 220.67/30.07 | | | | | | | | | | | | (121) all_184_0 = all_65_15
% 220.67/30.07 | | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | | PRED_UNIFY: (45), (119) imply:
% 220.67/30.07 | | | | | | | | | | | | (122) ~ (all_184_0 = all_65_15)
% 220.67/30.07 | | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | | REDUCE: (121), (122) imply:
% 220.67/30.07 | | | | | | | | | | | | (123) $false
% 220.67/30.07 | | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | | CLOSE: (123) is inconsistent.
% 220.67/30.07 | | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | | End of split
% 220.67/30.07 | | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | End of split
% 220.67/30.07 | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | Case 2:
% 220.67/30.07 | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | (124) ~ (all_151_3 = nbr_proc) & host(all_65_6) =
% 220.67/30.07 | | | | | | | | | | all_151_3 & $i(all_151_3)
% 220.67/30.07 | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | ALPHA: (124) implies:
% 220.67/30.07 | | | | | | | | | | (125) ~ (all_151_3 = nbr_proc)
% 220.67/30.07 | | | | | | | | | | (126) host(all_65_6) = all_151_3
% 220.67/30.07 | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | GROUND_INST: instantiating (5) with nbr_proc, all_151_3,
% 220.67/30.07 | | | | | | | | | | all_65_6, simplifying with (26), (126) gives:
% 220.67/30.07 | | | | | | | | | | (127) all_151_3 = nbr_proc
% 220.67/30.07 | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | REDUCE: (125), (127) imply:
% 220.67/30.07 | | | | | | | | | | (128) $false
% 220.67/30.07 | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | | CLOSE: (128) is inconsistent.
% 220.67/30.07 | | | | | | | | | |
% 220.67/30.07 | | | | | | | | | End of split
% 220.67/30.07 | | | | | | | | |
% 220.67/30.07 | | | | | | | | Case 2:
% 220.67/30.07 | | | | | | | | |
% 220.67/30.07 | | | | | | | | | (129) (queue(all_65_8) = all_151_0 & $i(all_151_0) & ~
% 220.67/30.07 | | | | | | | | | elem(all_65_0, all_151_0)) | (queue(nbr_proc) =
% 220.67/30.07 | | | | | | | | | all_151_1 & $i(all_151_1) & ~ elem(all_65_1,
% 220.67/30.07 | | | | | | | | | all_151_1))
% 220.67/30.07 | | | | | | | | |
% 220.67/30.07 | | | | | | | | | BETA: splitting (129) gives:
% 220.67/30.07 | | | | | | | | |
% 220.67/30.07 | | | | | | | | | Case 1:
% 220.67/30.07 | | | | | | | | | |
% 220.67/30.08 | | | | | | | | | | (130) queue(all_65_8) = all_151_0 & $i(all_151_0) & ~
% 220.67/30.08 | | | | | | | | | | elem(all_65_0, all_151_0)
% 220.67/30.08 | | | | | | | | | |
% 220.67/30.08 | | | | | | | | | | ALPHA: (130) implies:
% 220.67/30.08 | | | | | | | | | | (131) ~ elem(all_65_0, all_151_0)
% 220.67/30.08 | | | | | | | | | | (132) queue(all_65_8) = all_151_0
% 220.67/30.08 | | | | | | | | | |
% 220.67/30.08 | | | | | | | | | | GROUND_INST: instantiating (4) with all_65_7, all_151_0,
% 220.67/30.08 | | | | | | | | | | all_65_8, simplifying with (23), (132) gives:
% 220.67/30.08 | | | | | | | | | | (133) all_151_0 = all_65_7
% 220.67/30.08 | | | | | | | | | |
% 220.67/30.08 | | | | | | | | | | PRED_UNIFY: (12), (131) imply:
% 220.67/30.08 | | | | | | | | | | (134) ~ (all_151_0 = all_65_7)
% 220.67/30.08 | | | | | | | | | |
% 220.67/30.08 | | | | | | | | | | REDUCE: (133), (134) imply:
% 220.67/30.08 | | | | | | | | | | (135) $false
% 220.67/30.08 | | | | | | | | | |
% 220.67/30.08 | | | | | | | | | | CLOSE: (135) is inconsistent.
% 220.67/30.08 | | | | | | | | | |
% 220.67/30.08 | | | | | | | | | Case 2:
% 220.67/30.08 | | | | | | | | | |
% 220.67/30.08 | | | | | | | | | | (136) queue(nbr_proc) = all_151_1 & $i(all_151_1) & ~
% 220.67/30.08 | | | | | | | | | | elem(all_65_1, all_151_1)
% 220.67/30.08 | | | | | | | | | |
% 220.67/30.08 | | | | | | | | | | ALPHA: (136) implies:
% 220.67/30.08 | | | | | | | | | | (137) ~ elem(all_65_1, all_151_1)
% 220.67/30.08 | | | | | | | | | | (138) queue(nbr_proc) = all_151_1
% 220.67/30.08 | | | | | | | | | |
% 220.67/30.08 | | | | | | | | | | GROUND_INST: instantiating (4) with all_65_15, all_151_1,
% 220.67/30.08 | | | | | | | | | | nbr_proc, simplifying with (22), (138) gives:
% 220.67/30.08 | | | | | | | | | | (139) all_151_1 = all_65_15
% 220.67/30.08 | | | | | | | | | |
% 220.67/30.08 | | | | | | | | | | PRED_UNIFY: (45), (137) imply:
% 220.67/30.08 | | | | | | | | | | (140) ~ (all_151_1 = all_65_15)
% 220.67/30.08 | | | | | | | | | |
% 220.67/30.08 | | | | | | | | | | REDUCE: (139), (140) imply:
% 220.67/30.08 | | | | | | | | | | (141) $false
% 220.67/30.08 | | | | | | | | | |
% 220.67/30.08 | | | | | | | | | | CLOSE: (141) is inconsistent.
% 220.67/30.08 | | | | | | | | | |
% 220.67/30.08 | | | | | | | | | End of split
% 220.67/30.08 | | | | | | | | |
% 220.67/30.08 | | | | | | | | End of split
% 220.67/30.08 | | | | | | | |
% 220.67/30.08 | | | | | | | End of split
% 220.67/30.08 | | | | | | |
% 220.67/30.08 | | | | | | End of split
% 220.67/30.08 | | | | | |
% 220.67/30.08 | | | | | End of split
% 220.67/30.08 | | | | |
% 220.67/30.08 | | | | End of split
% 220.67/30.08 | | | |
% 220.67/30.08 | | | Case 2:
% 220.67/30.08 | | | |
% 220.67/30.08 | | | | (142) queue(nbr_proc) = all_89_1 & $i(all_89_1) & ~ elem(all_65_1,
% 220.67/30.08 | | | | all_89_1)
% 220.67/30.08 | | | |
% 220.67/30.08 | | | | ALPHA: (142) implies:
% 220.67/30.08 | | | | (143) ~ elem(all_65_1, all_89_1)
% 220.67/30.08 | | | | (144) queue(nbr_proc) = all_89_1
% 220.67/30.08 | | | |
% 220.67/30.08 | | | | GROUND_INST: instantiating (4) with all_65_15, all_89_1, nbr_proc,
% 220.67/30.08 | | | | simplifying with (22), (144) gives:
% 220.67/30.08 | | | | (145) all_89_1 = all_65_15
% 220.67/30.08 | | | |
% 220.67/30.08 | | | | PRED_UNIFY: (45), (143) imply:
% 220.67/30.08 | | | | (146) ~ (all_89_1 = all_65_15)
% 220.67/30.08 | | | |
% 220.67/30.08 | | | | REDUCE: (145), (146) imply:
% 220.67/30.08 | | | | (147) $false
% 220.67/30.08 | | | |
% 220.67/30.08 | | | | CLOSE: (147) is inconsistent.
% 220.67/30.08 | | | |
% 220.67/30.08 | | | End of split
% 220.67/30.08 | | |
% 220.67/30.08 | | End of split
% 220.67/30.08 | |
% 220.67/30.08 | Case 2:
% 220.67/30.08 | |
% 220.67/30.08 | | (148) ( ~ (all_101_2 = nbr_proc) & host(all_65_6) = all_101_2 &
% 220.67/30.08 | | $i(all_101_2)) | (queue(all_65_8) = all_101_1 & $i(all_101_1) &
% 220.67/30.08 | | ~ elem(all_65_0, all_101_1))
% 220.67/30.08 | |
% 220.67/30.08 | | BETA: splitting (148) gives:
% 220.67/30.08 | |
% 220.67/30.08 | | Case 1:
% 220.67/30.08 | | |
% 220.67/30.08 | | | (149) ~ (all_101_2 = nbr_proc) & host(all_65_6) = all_101_2 &
% 220.67/30.08 | | | $i(all_101_2)
% 220.67/30.08 | | |
% 220.67/30.08 | | | ALPHA: (149) implies:
% 220.67/30.08 | | | (150) ~ (all_101_2 = nbr_proc)
% 220.67/30.08 | | | (151) host(all_65_6) = all_101_2
% 220.67/30.08 | | |
% 220.67/30.08 | | | GROUND_INST: instantiating (5) with nbr_proc, all_101_2, all_65_6,
% 220.67/30.08 | | | simplifying with (26), (151) gives:
% 220.67/30.08 | | | (152) all_101_2 = nbr_proc
% 220.67/30.08 | | |
% 220.67/30.08 | | | REDUCE: (150), (152) imply:
% 220.67/30.08 | | | (153) $false
% 220.67/30.08 | | |
% 220.67/30.08 | | | CLOSE: (153) is inconsistent.
% 220.67/30.08 | | |
% 220.67/30.08 | | Case 2:
% 220.67/30.08 | | |
% 220.67/30.08 | | | (154) queue(all_65_8) = all_101_1 & $i(all_101_1) & ~ elem(all_65_0,
% 220.67/30.08 | | | all_101_1)
% 220.67/30.08 | | |
% 220.67/30.08 | | | ALPHA: (154) implies:
% 220.67/30.08 | | | (155) ~ elem(all_65_0, all_101_1)
% 220.67/30.08 | | | (156) queue(all_65_8) = all_101_1
% 220.67/30.08 | | |
% 220.67/30.08 | | | GROUND_INST: instantiating (4) with all_65_7, all_101_1, all_65_8,
% 220.67/30.08 | | | simplifying with (23), (156) gives:
% 220.67/30.08 | | | (157) all_101_1 = all_65_7
% 220.67/30.08 | | |
% 220.67/30.08 | | | PRED_UNIFY: (12), (155) imply:
% 220.67/30.08 | | | (158) ~ (all_101_1 = all_65_7)
% 220.67/30.08 | | |
% 220.67/30.08 | | | REDUCE: (157), (158) imply:
% 220.67/30.08 | | | (159) $false
% 220.67/30.08 | | |
% 220.67/30.08 | | | CLOSE: (159) is inconsistent.
% 220.67/30.08 | | |
% 220.67/30.08 | | End of split
% 220.67/30.08 | |
% 220.67/30.08 | End of split
% 220.67/30.08 |
% 220.67/30.08 End of proof
% 220.67/30.08 % SZS output end Proof for theBenchmark
% 220.67/30.08
% 220.67/30.08 29475ms
%------------------------------------------------------------------------------