TSTP Solution File: SWV457+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SWV457+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 : n016.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 22:56:33 EDT 2023
% Result : Theorem 61.66s 8.82s
% Output : Proof 70.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV457+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 29 07:09:30 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.66/0.63 ________ _____
% 0.66/0.63 ___ __ \_________(_)________________________________
% 0.66/0.63 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.66/0.63 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.66/0.63 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.66/0.63
% 0.66/0.63 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.66/0.63 (2023-06-19)
% 0.66/0.63
% 0.66/0.63 (c) Philipp Rümmer, 2009-2023
% 0.66/0.63 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.66/0.63 Amanda Stjerna.
% 0.66/0.63 Free software under BSD-3-Clause.
% 0.66/0.63
% 0.66/0.63 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.66/0.63
% 0.66/0.63 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.66/0.65 Running up to 7 provers in parallel.
% 0.72/0.67 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.72/0.67 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.72/0.67 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.72/0.67 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.72/0.67 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.72/0.67 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.72/0.67 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.90/1.24 Prover 4: Preprocessing ...
% 4.03/1.25 Prover 1: Preprocessing ...
% 4.03/1.28 Prover 6: Preprocessing ...
% 4.03/1.28 Prover 2: Preprocessing ...
% 4.03/1.28 Prover 5: Preprocessing ...
% 4.03/1.28 Prover 3: Preprocessing ...
% 4.03/1.28 Prover 0: Preprocessing ...
% 10.75/2.16 Prover 1: Constructing countermodel ...
% 10.75/2.18 Prover 6: Proving ...
% 10.75/2.20 Prover 3: Constructing countermodel ...
% 11.42/2.24 Prover 5: Proving ...
% 11.91/2.33 Prover 2: Proving ...
% 12.79/2.42 Prover 0: Proving ...
% 12.79/2.42 Prover 4: Constructing countermodel ...
% 16.44/2.93 Prover 3: gave up
% 16.44/2.94 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 17.61/3.05 Prover 7: Preprocessing ...
% 19.87/3.43 Prover 7: Warning: ignoring some quantifiers
% 20.54/3.46 Prover 7: Constructing countermodel ...
% 56.97/8.17 Prover 1: gave up
% 56.97/8.18 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 57.64/8.26 Prover 8: Preprocessing ...
% 59.12/8.41 Prover 8: Warning: ignoring some quantifiers
% 59.12/8.42 Prover 8: Constructing countermodel ...
% 61.66/8.82 Prover 2: proved (8108ms)
% 61.66/8.82
% 61.66/8.82 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 61.66/8.82
% 61.66/8.82 Prover 0: stopped
% 61.66/8.82 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 61.66/8.82 Prover 5: stopped
% 62.34/8.84 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 62.34/8.84 Prover 6: stopped
% 62.34/8.85 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 62.34/8.85 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 62.34/8.87 Prover 10: Preprocessing ...
% 62.87/8.90 Prover 16: Preprocessing ...
% 62.87/8.91 Prover 11: Preprocessing ...
% 62.87/8.94 Prover 13: Preprocessing ...
% 63.48/9.00 Prover 16: Warning: ignoring some quantifiers
% 63.73/9.00 Prover 10: Warning: ignoring some quantifiers
% 63.73/9.01 Prover 16: Constructing countermodel ...
% 63.73/9.01 Prover 10: Constructing countermodel ...
% 64.69/9.14 Prover 13: Warning: ignoring some quantifiers
% 64.69/9.15 Prover 13: Constructing countermodel ...
% 65.24/9.19 Prover 11: Constructing countermodel ...
% 68.74/9.71 Prover 10: Found proof (size 119)
% 68.74/9.71 Prover 10: proved (892ms)
% 68.74/9.71 Prover 11: stopped
% 68.74/9.71 Prover 13: stopped
% 68.74/9.71 Prover 16: stopped
% 68.74/9.71 Prover 8: stopped
% 68.74/9.71 Prover 7: stopped
% 68.74/9.73 Prover 4: stopped
% 68.74/9.73
% 68.74/9.73 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 68.74/9.73
% 69.43/9.74 % SZS output start Proof for theBenchmark
% 69.43/9.74 Assumptions after simplification:
% 69.43/9.74 ---------------------------------
% 69.43/9.74
% 69.43/9.74 (axiom_04)
% 69.43/9.76 $i(nbr_proc) & ! [v0: $i] : ! [v1: $i] : ( ~ (host(v0) = v1) | ~ $i(v0) |
% 69.43/9.76 leq(v1, nbr_proc))
% 69.43/9.76
% 69.43/9.76 (axiom_31)
% 69.43/9.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0
% 69.43/9.77 | ~ (m_Ack(v1, v3) = v4) | ~ (m_Ack(v0, v2) = v4) | ~ $i(v3) | ~ $i(v2)
% 69.43/9.77 | ~ $i(v1) | ~ $i(v0))
% 69.43/9.77
% 69.43/9.77 (axiom_32)
% 69.43/9.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v3 = v2
% 69.43/9.77 | ~ (m_Ack(v1, v3) = v4) | ~ (m_Ack(v0, v2) = v4) | ~ $i(v3) | ~ $i(v2)
% 69.43/9.77 | ~ $i(v1) | ~ $i(v0))
% 69.43/9.77
% 69.43/9.77 (axiom_46)
% 69.43/9.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 69.43/9.77 (cons(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ elem(v0, v3) |
% 69.43/9.77 elem(v0, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 69.43/9.77 (cons(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ elem(v0, v2) |
% 69.43/9.77 elem(v0, v3)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (cons(v0, v1)
% 69.43/9.77 = v2) | ~ $i(v1) | ~ $i(v0) | elem(v0, v2))
% 69.43/9.77
% 69.43/9.77 (axiom_47)
% 69.43/9.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 69.43/9.77 (snoc(v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ elem(v0, v3) |
% 69.43/9.77 elem(v0, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 69.43/9.77 (snoc(v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ elem(v0, v2) |
% 69.43/9.77 elem(v0, v3)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (snoc(v1, v0)
% 69.43/9.77 = v2) | ~ $i(v1) | ~ $i(v0) | elem(v0, v2))
% 69.43/9.77
% 69.43/9.77 (axiom_61)
% 69.43/9.77 ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ $i(v1) | ~ $i(v0) | ~ leq(v1, v0)
% 69.43/9.77 | ~ leq(v0, v1)) & ? [v0: $i] : ( ~ $i(v0) | leq(v0, v0))
% 69.43/9.77
% 69.43/9.77 (axiom_62)
% 69.43/9.78 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 69.43/9.78 ~ leq(v1, v2) | ~ leq(v0, v1) | leq(v0, v2))
% 69.43/9.78
% 69.43/9.78 (conj)
% 69.70/9.80 $i(ldr) & $i(down) & $i(elid) & $i(status) & $i(pendack) & $i(alive) &
% 69.70/9.80 $i(norm) & $i(elec_1) & $i(elec_2) & $i(nbr_proc) & $i(pids) & ? [v0: $i] :
% 69.70/9.80 ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6:
% 69.70/9.80 $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i]
% 69.70/9.80 : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15: $i] : ( ~ (v9 = v3) &
% 69.70/9.80 ~ (v6 = v3) & index(ldr, v9) = v9 & index(status, v9) = norm & index(status,
% 69.70/9.80 v6) = elec_2 & index(pendack, v6) = v12 & snoc(v14, v7) = v15 & cons(v5,
% 69.70/9.80 v0) = v4 & m_Halt(v2) = v5 & m_Ack(v11, v10) = v13 & m_Ack(v2, v1) = v7 &
% 69.70/9.80 host(v11) = v6 & host(v10) = v12 & host(v8) = v9 & host(v2) = v6 & host(v1)
% 69.70/9.80 = v3 & queue(v6) = v14 & queue(v3) = v4 & $i(v15) & $i(v14) & $i(v13) &
% 69.70/9.80 $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) &
% 69.70/9.80 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & leq(nbr_proc, v12) & setIn(v11,
% 69.70/9.80 alive) & setIn(v8, alive) & setIn(v1, alive) & elem(v13, v15) & ! [v16:
% 69.70/9.80 $i] : ! [v17: $i] : ! [v18: $i] : ! [v19: $i] : ! [v20: $i] : ! [v21:
% 69.70/9.80 $i] : ( ~ (m_Halt(v18) = v20) | ~ (host(v17) = v21) | ~ (host(v16) =
% 69.70/9.80 v19) | ~ $i(v18) | ~ $i(v17) | ~ $i(v16) | ~ setIn(v18, alive) | ~
% 69.70/9.80 setIn(v16, alive) | ? [v22: $i] : ? [v23: $i] : ? [v24: $i] : ? [v25:
% 69.70/9.80 $i] : ? [v26: $i] : ? [v27: $i] : (( ~ (v27 = norm) & index(status,
% 69.70/9.80 v19) = v27 & $i(v27)) | ( ~ (v26 = v19) & index(ldr, v19) = v26 &
% 69.70/9.80 $i(v26)) | ( ~ (v25 = elec_2) & index(status, v22) = v25 & host(v18) =
% 69.70/9.80 v22 & $i(v25) & $i(v22)) | (index(pendack, v22) = v23 & host(v18) =
% 69.70/9.80 v22 & $i(v23) & $i(v22) & leq(v23, v19)) | (queue(v21) = v24 & $i(v24)
% 69.70/9.80 & ~ elem(v20, v24)))) & ! [v16: $i] : ! [v17: $i] : ! [v18: $i] :
% 69.70/9.80 ! [v19: $i] : ! [v20: $i] : ( ~ (m_Down(v16) = v19) | ~ (m_Ack(v18, v17) =
% 69.70/9.80 v20) | ~ $i(v18) | ~ $i(v17) | ~ $i(v16) | ~ setIn(v18, alive) | ?
% 69.70/9.80 [v21: $i] : ? [v22: $i] : ? [v23: $i] : ? [v24: $i] : ? [v25: $i] : ((
% 69.70/9.80 ~ (v25 = v23) & host(v18) = v23 & host(v16) = v25 & $i(v25) & $i(v23))
% 69.70/9.80 | (host(v18) = v23 & queue(v23) = v24 & $i(v24) & $i(v23) & ~ elem(v20,
% 69.70/9.80 v24)) | (host(v17) = v21 & queue(v21) = v22 & $i(v22) & $i(v21) & ~
% 69.70/9.80 elem(v19, v22)))) & ! [v16: $i] : ! [v17: $i] : ! [v18: $i] : !
% 69.70/9.80 [v19: $i] : ! [v20: $i] : ( ~ (m_Ack(v18, v17) = v19) | ~ (host(v16) =
% 69.70/9.80 v20) | ~ $i(v18) | ~ $i(v17) | ~ $i(v16) | ~ setIn(v18, alive) | ~
% 69.70/9.80 setIn(v16, alive) | ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ? [v24:
% 69.70/9.80 $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : (( ~ (v27 = norm) &
% 69.70/9.80 index(status, v20) = v27 & $i(v27)) | ( ~ (v26 = v20) & index(ldr,
% 69.70/9.80 v20) = v26 & $i(v26)) | (host(v18) = v21 & $i(v21) & (( ~ (v25 =
% 69.70/9.80 v23) & index(pendack, v21) = v23 & host(v17) = v25 & $i(v25) &
% 69.70/9.80 $i(v23)) | ( ~ (v24 = elec_2) & index(status, v21) = v24 &
% 69.70/9.80 $i(v24)) | (index(pendack, v21) = v23 & $i(v23) & ~ leq(nbr_proc,
% 69.70/9.80 v23)) | (queue(v21) = v22 & $i(v22) & ~ elem(v19, v22)))))) &
% 69.70/9.80 ! [v16: $i] : ! [v17: $i] : ! [v18: $i] : ! [v19: $i] : ! [v20: $i] : (
% 69.70/9.80 ~ (m_Ack(v18, v16) = v19) | ~ (host(v17) = v20) | ~ $i(v18) | ~ $i(v17)
% 69.70/9.80 | ~ $i(v16) | ~ setIn(v18, alive) | ~ setIn(v17, alive) | ? [v21: $i]
% 69.70/9.80 : ? [v22: $i] : ? [v23: $i] : ? [v24: $i] : (( ~ (v23 = v20) &
% 69.70/9.80 host(v16) = v23 & $i(v23)) | (index(down, v20) = v24 & host(v18) = v21
% 69.70/9.80 & $i(v24) & $i(v21) & ~ setIn(v21, v24)) | (host(v18) = v21 &
% 69.70/9.80 queue(v21) = v22 & $i(v22) & $i(v21) & ~ elem(v19, v22)))) & ! [v16:
% 69.70/9.80 $i] : ! [v17: $i] : ! [v18: $i] : ! [v19: $i] : ! [v20: $i] : ( ~
% 69.70/9.80 (m_Ack(v18, v16) = v19) | ~ (host(v17) = v20) | ~ $i(v18) | ~ $i(v17) |
% 69.70/9.80 ~ $i(v16) | ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ((host(v18) =
% 69.70/9.80 v23 & host(v16) = v22 & $i(v23) & $i(v22) & ~ leq(v22, v23)) |
% 69.70/9.80 (queue(v20) = v21 & $i(v21) & ~ elem(v19, v21)))) & ! [v16: $i] : !
% 69.70/9.80 [v17: $i] : ! [v18: $i] : ! [v19: $i] : ( ~ (m_Ldr(v17) = v18) | ~
% 69.70/9.80 (host(v16) = v19) | ~ $i(v17) | ~ $i(v16) | ? [v20: $i] : ? [v21: $i]
% 69.70/9.80 : ((host(v17) = v21 & $i(v21) & ~ leq(v19, v21)) | (queue(v19) = v20 &
% 69.70/9.80 $i(v20) & ~ elem(v18, v20)))) & ! [v16: $i] : ! [v17: $i] : !
% 69.70/9.80 [v18: $i] : ! [v19: $i] : ( ~ (m_Down(v17) = v18) | ~ (host(v16) = v19) |
% 69.70/9.80 ~ $i(v17) | ~ $i(v16) | ~ setIn(v17, alive) | ? [v20: $i] : (queue(v19)
% 69.70/9.80 = v20 & $i(v20) & ~ elem(v18, v20))) & ! [v16: $i] : ! [v17: $i] : !
% 69.70/9.80 [v18: $i] : ! [v19: $i] : ( ~ (host(v17) = v19) | ~ (host(v16) = v18) | ~
% 69.70/9.80 $i(v17) | ~ $i(v16) | ~ setIn(v17, alive) | ~ setIn(v16, alive) |
% 69.70/9.80 leq(v18, v19) | ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 69.70/9.80 : (( ~ (v21 = elec_2) & index(status, v19) = v21 & $i(v21)) | ( ~ (v20 =
% 69.70/9.80 elec_2) & index(status, v18) = v20 & $i(v20)) | (index(pendack, v19)
% 69.70/9.80 = v23 & index(pendack, v18) = v22 & $i(v23) & $i(v22) & ~ leq(v22,
% 69.70/9.80 v23)))) & ! [v16: $i] : ! [v17: $i] : ! [v18: $i] : (v17 = v16 |
% 69.70/9.80 ~ (host(v17) = v18) | ~ (host(v16) = v18) | ~ $i(v17) | ~ $i(v16) | ~
% 69.70/9.80 setIn(v17, alive) | ~ setIn(v16, alive)) & ! [v16: $i] : ! [v17: $i] :
% 69.70/9.80 ! [v18: $i] : ( ~ (m_Ack(v17, v16) = v18) | ~ $i(v17) | ~ $i(v16) | ~
% 69.70/9.80 setIn(v17, alive) | ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22:
% 69.70/9.80 $i] : (host(v17) = v19 & $i(v19) & ((index(pendack, v19) = v22 &
% 69.70/9.80 host(v16) = v21 & $i(v22) & $i(v21) & leq(v21, v22)) | (queue(v19) =
% 69.70/9.80 v20 & $i(v20) & ~ elem(v18, v20))))) & ! [v16: $i] : ! [v17: $i]
% 69.70/9.80 : ! [v18: $i] : ( ~ (m_Ack(v17, v16) = v18) | ~ $i(v17) | ~ $i(v16) | ~
% 69.70/9.80 setIn(v17, alive) | ? [v19: $i] : ? [v20: $i] : ? [v21: $i] :
% 69.70/9.80 (host(v17) = v19 & $i(v19) & (( ~ (v20 = elec_1) & index(status, v19) =
% 69.70/9.80 v20 & $i(v20)) | (queue(v19) = v21 & $i(v21) & ~ elem(v18, v21)))))
% 69.70/9.80 & ! [v16: $i] : ! [v17: $i] : ! [v18: $i] : ( ~ (m_Ack(v17, v16) = v18) |
% 69.70/9.80 ~ $i(v17) | ~ $i(v16) | setIn(v17, pids) | ? [v19: $i] : ? [v20: $i] :
% 69.70/9.80 (host(v17) = v19 & queue(v19) = v20 & $i(v20) & $i(v19) & ~ elem(v18,
% 69.70/9.80 v20))) & ! [v16: $i] : ! [v17: $i] : ! [v18: $i] : ( ~ (m_Ack(v16,
% 69.70/9.80 v17) = v18) | ~ $i(v17) | ~ $i(v16) | ~ setIn(v17, alive) | ?
% 69.70/9.80 [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : (( ~ (v20 =
% 69.70/9.80 elec_1) & index(status, v19) = v20 & host(v17) = v19 & $i(v20) &
% 69.70/9.80 $i(v19)) | (host(v16) = v21 & queue(v21) = v22 & $i(v22) & $i(v21) &
% 69.70/9.80 ~ elem(v18, v22)))) & ! [v16: $i] : ! [v17: $i] : ! [v18: $i] : ( ~
% 69.70/9.80 (host(v17) = v18) | ~ (host(v16) = v18) | ~ $i(v17) | ~ $i(v16) | ~
% 69.70/9.80 leq(v17, v16) | ~ setIn(v17, alive) | setIn(v16, alive)) & ! [v16: $i] :
% 69.70/9.80 ! [v17: $i] : ( ~ (host(v16) = v17) | ~ $i(v16) | ~ setIn(v16, alive) |
% 69.70/9.80 ? [v18: $i] : ? [v19: $i] : ((v19 = v16 & index(elid, v17) = v16) | ( ~
% 69.70/9.80 (v18 = elec_1) & ~ (v18 = elec_2) & index(status, v17) = v18 &
% 69.70/9.80 $i(v18)))))
% 69.70/9.80
% 69.70/9.80 (function-axioms)
% 69.70/9.80 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 69.70/9.80 (index(v3, v2) = v1) | ~ (index(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 69.70/9.80 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (snoc(v3, v2) = v1) | ~ (snoc(v3,
% 69.70/9.80 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1
% 69.70/9.80 = v0 | ~ (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0)) & ! [v0: $i] : !
% 69.70/9.80 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (m_Ack(v3, v2) = v1) | ~
% 69.70/9.80 (m_Ack(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 |
% 69.70/9.80 ~ (pidMsg(v2) = v1) | ~ (pidMsg(v2) = v0)) & ! [v0: $i] : ! [v1: $i] :
% 69.70/9.80 ! [v2: $i] : (v1 = v0 | ~ (init(v2) = v1) | ~ (init(v2) = v0)) & ! [v0: $i]
% 69.70/9.80 : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (last(v2) = v1) | ~ (last(v2) =
% 69.70/9.80 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (tail(v2) =
% 69.70/9.80 v1) | ~ (tail(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1
% 69.70/9.80 = v0 | ~ (head(v2) = v1) | ~ (head(v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 69.70/9.80 : ! [v2: $i] : (v1 = v0 | ~ (m_NormQ(v2) = v1) | ~ (m_NormQ(v2) = v0)) & !
% 69.70/9.80 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (m_Ldr(v2) = v1) | ~
% 69.70/9.80 (m_Ldr(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 69.70/9.80 (m_NotNorm(v2) = v1) | ~ (m_NotNorm(v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 69.70/9.80 : ! [v2: $i] : (v1 = v0 | ~ (m_Down(v2) = v1) | ~ (m_Down(v2) = v0)) & !
% 69.70/9.80 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (m_Halt(v2) = v1) | ~
% 69.70/9.80 (m_Halt(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 69.70/9.80 (s(v2) = v1) | ~ (s(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 69.70/9.80 (v1 = v0 | ~ (host(v2) = v1) | ~ (host(v2) = v0)) & ! [v0: $i] : ! [v1:
% 69.70/9.80 $i] : ! [v2: $i] : (v1 = v0 | ~ (queue(v2) = v1) | ~ (queue(v2) = v0))
% 69.70/9.80
% 69.70/9.80 Further assumptions not needed in the proof:
% 69.70/9.80 --------------------------------------------
% 69.70/9.80 axiom, axiom_01, axiom_02, axiom_03, axiom_05, axiom_06, axiom_07, axiom_08,
% 69.70/9.80 axiom_09, axiom_10, axiom_11, axiom_12, axiom_13, axiom_14, axiom_15, axiom_16,
% 69.70/9.80 axiom_17, axiom_18, axiom_19, axiom_20, axiom_21, axiom_22, axiom_23, axiom_24,
% 69.70/9.80 axiom_25, axiom_26, axiom_27, axiom_28, axiom_29, axiom_30, axiom_33, axiom_34,
% 69.70/9.80 axiom_35, axiom_36, axiom_37, axiom_38, axiom_39, axiom_40, axiom_41, axiom_42,
% 69.70/9.80 axiom_43, axiom_44, axiom_45, axiom_48, axiom_49, axiom_50, axiom_51, axiom_52,
% 69.70/9.80 axiom_53, axiom_54, axiom_55, axiom_56, axiom_57, axiom_58, axiom_59, axiom_60,
% 69.70/9.80 axiom_63, axiom_64, axiom_65
% 69.70/9.80
% 69.70/9.80 Those formulas are unsatisfiable:
% 69.70/9.80 ---------------------------------
% 69.70/9.80
% 69.70/9.80 Begin of proof
% 69.70/9.81 |
% 69.70/9.81 | ALPHA: (axiom_04) implies:
% 69.70/9.81 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ (host(v0) = v1) | ~ $i(v0) | leq(v1,
% 69.70/9.81 | nbr_proc))
% 69.70/9.81 |
% 69.70/9.81 | ALPHA: (axiom_46) implies:
% 69.70/9.81 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (cons(v0, v1) = v2) | ~
% 69.70/9.81 | $i(v1) | ~ $i(v0) | elem(v0, v2))
% 69.70/9.81 |
% 69.70/9.81 | ALPHA: (axiom_47) implies:
% 69.70/9.81 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 69.70/9.81 | (snoc(v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ elem(v0,
% 69.70/9.81 | v3) | elem(v0, v2))
% 69.70/9.81 |
% 69.70/9.81 | ALPHA: (axiom_61) implies:
% 69.70/9.81 | (4) ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ $i(v1) | ~ $i(v0) | ~
% 69.70/9.81 | leq(v1, v0) | ~ leq(v0, v1))
% 69.70/9.81 |
% 69.70/9.81 | ALPHA: (conj) implies:
% 69.70/9.81 | (5) $i(nbr_proc)
% 69.70/9.83 | (6) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 69.70/9.83 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 69.70/9.83 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 69.70/9.83 | ? [v15: $i] : ( ~ (v9 = v3) & ~ (v6 = v3) & index(ldr, v9) = v9 &
% 69.70/9.83 | index(status, v9) = norm & index(status, v6) = elec_2 &
% 69.70/9.83 | index(pendack, v6) = v12 & snoc(v14, v7) = v15 & cons(v5, v0) = v4 &
% 69.70/9.83 | m_Halt(v2) = v5 & m_Ack(v11, v10) = v13 & m_Ack(v2, v1) = v7 &
% 69.70/9.83 | host(v11) = v6 & host(v10) = v12 & host(v8) = v9 & host(v2) = v6 &
% 69.70/9.83 | host(v1) = v3 & queue(v6) = v14 & queue(v3) = v4 & $i(v15) & $i(v14)
% 69.70/9.83 | & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 69.70/9.83 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) &
% 69.70/9.83 | leq(nbr_proc, v12) & setIn(v11, alive) & setIn(v8, alive) & setIn(v1,
% 69.70/9.83 | alive) & elem(v13, v15) & ! [v16: $i] : ! [v17: $i] : ! [v18:
% 69.70/9.83 | $i] : ! [v19: $i] : ! [v20: $i] : ! [v21: $i] : ( ~ (m_Halt(v18)
% 69.70/9.83 | = v20) | ~ (host(v17) = v21) | ~ (host(v16) = v19) | ~ $i(v18)
% 69.70/9.83 | | ~ $i(v17) | ~ $i(v16) | ~ setIn(v18, alive) | ~ setIn(v16,
% 69.70/9.83 | alive) | ? [v22: $i] : ? [v23: $i] : ? [v24: $i] : ? [v25:
% 69.70/9.83 | $i] : ? [v26: $i] : ? [v27: $i] : (( ~ (v27 = norm) &
% 69.70/9.83 | index(status, v19) = v27 & $i(v27)) | ( ~ (v26 = v19) &
% 69.70/9.83 | index(ldr, v19) = v26 & $i(v26)) | ( ~ (v25 = elec_2) &
% 69.70/9.83 | index(status, v22) = v25 & host(v18) = v22 & $i(v25) & $i(v22))
% 69.70/9.83 | | (index(pendack, v22) = v23 & host(v18) = v22 & $i(v23) &
% 69.70/9.83 | $i(v22) & leq(v23, v19)) | (queue(v21) = v24 & $i(v24) & ~
% 69.70/9.83 | elem(v20, v24)))) & ! [v16: $i] : ! [v17: $i] : ! [v18: $i]
% 69.70/9.83 | : ! [v19: $i] : ! [v20: $i] : ( ~ (m_Down(v16) = v19) | ~
% 69.70/9.83 | (m_Ack(v18, v17) = v20) | ~ $i(v18) | ~ $i(v17) | ~ $i(v16) | ~
% 69.70/9.83 | setIn(v18, alive) | ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ?
% 69.70/9.83 | [v24: $i] : ? [v25: $i] : (( ~ (v25 = v23) & host(v18) = v23 &
% 69.70/9.83 | host(v16) = v25 & $i(v25) & $i(v23)) | (host(v18) = v23 &
% 69.70/9.83 | queue(v23) = v24 & $i(v24) & $i(v23) & ~ elem(v20, v24)) |
% 69.70/9.83 | (host(v17) = v21 & queue(v21) = v22 & $i(v22) & $i(v21) & ~
% 69.70/9.83 | elem(v19, v22)))) & ! [v16: $i] : ! [v17: $i] : ! [v18: $i]
% 69.70/9.83 | : ! [v19: $i] : ! [v20: $i] : ( ~ (m_Ack(v18, v17) = v19) | ~
% 69.70/9.83 | (host(v16) = v20) | ~ $i(v18) | ~ $i(v17) | ~ $i(v16) | ~
% 69.70/9.83 | setIn(v18, alive) | ~ setIn(v16, alive) | ? [v21: $i] : ? [v22:
% 69.70/9.83 | $i] : ? [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] :
% 69.70/9.83 | ? [v27: $i] : (( ~ (v27 = norm) & index(status, v20) = v27 &
% 69.70/9.83 | $i(v27)) | ( ~ (v26 = v20) & index(ldr, v20) = v26 & $i(v26)) |
% 69.70/9.83 | (host(v18) = v21 & $i(v21) & (( ~ (v25 = v23) & index(pendack,
% 69.70/9.83 | v21) = v23 & host(v17) = v25 & $i(v25) & $i(v23)) | ( ~
% 69.70/9.83 | (v24 = elec_2) & index(status, v21) = v24 & $i(v24)) |
% 69.70/9.83 | (index(pendack, v21) = v23 & $i(v23) & ~ leq(nbr_proc, v23))
% 69.70/9.83 | | (queue(v21) = v22 & $i(v22) & ~ elem(v19, v22)))))) & !
% 69.70/9.83 | [v16: $i] : ! [v17: $i] : ! [v18: $i] : ! [v19: $i] : ! [v20: $i]
% 69.70/9.83 | : ( ~ (m_Ack(v18, v16) = v19) | ~ (host(v17) = v20) | ~ $i(v18) |
% 69.70/9.83 | ~ $i(v17) | ~ $i(v16) | ~ setIn(v18, alive) | ~ setIn(v17,
% 69.70/9.83 | alive) | ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ? [v24:
% 69.70/9.83 | $i] : (( ~ (v23 = v20) & host(v16) = v23 & $i(v23)) |
% 69.70/9.83 | (index(down, v20) = v24 & host(v18) = v21 & $i(v24) & $i(v21) &
% 69.70/9.83 | ~ setIn(v21, v24)) | (host(v18) = v21 & queue(v21) = v22 &
% 69.70/9.83 | $i(v22) & $i(v21) & ~ elem(v19, v22)))) & ! [v16: $i] : !
% 69.70/9.83 | [v17: $i] : ! [v18: $i] : ! [v19: $i] : ! [v20: $i] : ( ~
% 69.70/9.83 | (m_Ack(v18, v16) = v19) | ~ (host(v17) = v20) | ~ $i(v18) | ~
% 69.70/9.83 | $i(v17) | ~ $i(v16) | ? [v21: $i] : ? [v22: $i] : ? [v23: $i] :
% 69.70/9.83 | ((host(v18) = v23 & host(v16) = v22 & $i(v23) & $i(v22) & ~
% 69.70/9.83 | leq(v22, v23)) | (queue(v20) = v21 & $i(v21) & ~ elem(v19,
% 69.70/9.83 | v21)))) & ! [v16: $i] : ! [v17: $i] : ! [v18: $i] : !
% 69.70/9.83 | [v19: $i] : ( ~ (m_Ldr(v17) = v18) | ~ (host(v16) = v19) | ~
% 69.70/9.83 | $i(v17) | ~ $i(v16) | ? [v20: $i] : ? [v21: $i] : ((host(v17) =
% 69.70/9.83 | v21 & $i(v21) & ~ leq(v19, v21)) | (queue(v19) = v20 & $i(v20)
% 69.70/9.83 | & ~ elem(v18, v20)))) & ! [v16: $i] : ! [v17: $i] : ! [v18:
% 69.70/9.83 | $i] : ! [v19: $i] : ( ~ (m_Down(v17) = v18) | ~ (host(v16) = v19)
% 69.70/9.83 | | ~ $i(v17) | ~ $i(v16) | ~ setIn(v17, alive) | ? [v20: $i] :
% 69.70/9.83 | (queue(v19) = v20 & $i(v20) & ~ elem(v18, v20))) & ! [v16: $i] :
% 69.70/9.83 | ! [v17: $i] : ! [v18: $i] : ! [v19: $i] : ( ~ (host(v17) = v19) |
% 69.70/9.83 | ~ (host(v16) = v18) | ~ $i(v17) | ~ $i(v16) | ~ setIn(v17,
% 69.70/9.83 | alive) | ~ setIn(v16, alive) | leq(v18, v19) | ? [v20: $i] : ?
% 69.70/9.83 | [v21: $i] : ? [v22: $i] : ? [v23: $i] : (( ~ (v21 = elec_2) &
% 69.70/9.83 | index(status, v19) = v21 & $i(v21)) | ( ~ (v20 = elec_2) &
% 69.70/9.83 | index(status, v18) = v20 & $i(v20)) | (index(pendack, v19) =
% 69.70/9.83 | v23 & index(pendack, v18) = v22 & $i(v23) & $i(v22) & ~
% 69.70/9.83 | leq(v22, v23)))) & ! [v16: $i] : ! [v17: $i] : ! [v18: $i] :
% 69.70/9.83 | (v17 = v16 | ~ (host(v17) = v18) | ~ (host(v16) = v18) | ~ $i(v17)
% 69.70/9.83 | | ~ $i(v16) | ~ setIn(v17, alive) | ~ setIn(v16, alive)) & !
% 69.70/9.83 | [v16: $i] : ! [v17: $i] : ! [v18: $i] : ( ~ (m_Ack(v17, v16) = v18)
% 69.70/9.83 | | ~ $i(v17) | ~ $i(v16) | ~ setIn(v17, alive) | ? [v19: $i] :
% 69.70/9.83 | ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : (host(v17) = v19 &
% 69.70/9.83 | $i(v19) & ((index(pendack, v19) = v22 & host(v16) = v21 & $i(v22)
% 69.70/9.83 | & $i(v21) & leq(v21, v22)) | (queue(v19) = v20 & $i(v20) & ~
% 69.70/9.83 | elem(v18, v20))))) & ! [v16: $i] : ! [v17: $i] : ! [v18:
% 69.70/9.83 | $i] : ( ~ (m_Ack(v17, v16) = v18) | ~ $i(v17) | ~ $i(v16) | ~
% 69.70/9.83 | setIn(v17, alive) | ? [v19: $i] : ? [v20: $i] : ? [v21: $i] :
% 69.70/9.83 | (host(v17) = v19 & $i(v19) & (( ~ (v20 = elec_1) & index(status,
% 69.70/9.83 | v19) = v20 & $i(v20)) | (queue(v19) = v21 & $i(v21) & ~
% 69.70/9.83 | elem(v18, v21))))) & ! [v16: $i] : ! [v17: $i] : ! [v18:
% 69.70/9.83 | $i] : ( ~ (m_Ack(v17, v16) = v18) | ~ $i(v17) | ~ $i(v16) |
% 69.70/9.83 | setIn(v17, pids) | ? [v19: $i] : ? [v20: $i] : (host(v17) = v19 &
% 69.70/9.83 | queue(v19) = v20 & $i(v20) & $i(v19) & ~ elem(v18, v20))) & !
% 69.70/9.83 | [v16: $i] : ! [v17: $i] : ! [v18: $i] : ( ~ (m_Ack(v16, v17) = v18)
% 69.70/9.83 | | ~ $i(v17) | ~ $i(v16) | ~ setIn(v17, alive) | ? [v19: $i] :
% 69.70/9.83 | ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : (( ~ (v20 = elec_1) &
% 69.70/9.83 | index(status, v19) = v20 & host(v17) = v19 & $i(v20) & $i(v19))
% 69.70/9.83 | | (host(v16) = v21 & queue(v21) = v22 & $i(v22) & $i(v21) & ~
% 69.70/9.83 | elem(v18, v22)))) & ! [v16: $i] : ! [v17: $i] : ! [v18: $i]
% 69.70/9.83 | : ( ~ (host(v17) = v18) | ~ (host(v16) = v18) | ~ $i(v17) | ~
% 69.70/9.83 | $i(v16) | ~ leq(v17, v16) | ~ setIn(v17, alive) | setIn(v16,
% 69.70/9.83 | alive)) & ! [v16: $i] : ! [v17: $i] : ( ~ (host(v16) = v17) |
% 69.70/9.83 | ~ $i(v16) | ~ setIn(v16, alive) | ? [v18: $i] : ? [v19: $i] :
% 69.70/9.83 | ((v19 = v16 & index(elid, v17) = v16) | ( ~ (v18 = elec_1) & ~
% 69.70/9.83 | (v18 = elec_2) & index(status, v17) = v18 & $i(v18)))))
% 69.70/9.83 |
% 69.70/9.83 | ALPHA: (function-axioms) implies:
% 69.70/9.83 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (queue(v2) =
% 69.70/9.83 | v1) | ~ (queue(v2) = v0))
% 69.70/9.83 | (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (host(v2) = v1)
% 69.70/9.83 | | ~ (host(v2) = v0))
% 69.70/9.83 | (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 69.70/9.83 | (index(v3, v2) = v1) | ~ (index(v3, v2) = v0))
% 69.70/9.83 |
% 69.70/9.83 | DELTA: instantiating (6) with fresh symbols all_65_0, all_65_1, all_65_2,
% 69.70/9.83 | all_65_3, all_65_4, all_65_5, all_65_6, all_65_7, all_65_8, all_65_9,
% 69.70/9.83 | all_65_10, all_65_11, all_65_12, all_65_13, all_65_14, all_65_15 gives:
% 69.70/9.85 | (10) ~ (all_65_6 = all_65_12) & ~ (all_65_9 = all_65_12) & index(ldr,
% 69.70/9.85 | all_65_6) = all_65_6 & index(status, all_65_6) = norm &
% 69.70/9.85 | index(status, all_65_9) = elec_2 & index(pendack, all_65_9) = all_65_3
% 69.70/9.85 | & snoc(all_65_1, all_65_8) = all_65_0 & cons(all_65_10, all_65_15) =
% 69.70/9.85 | all_65_11 & m_Halt(all_65_13) = all_65_10 & m_Ack(all_65_4, all_65_5)
% 69.70/9.85 | = all_65_2 & m_Ack(all_65_13, all_65_14) = all_65_8 & host(all_65_4) =
% 69.70/9.85 | all_65_9 & host(all_65_5) = all_65_3 & host(all_65_7) = all_65_6 &
% 69.70/9.85 | host(all_65_13) = all_65_9 & host(all_65_14) = all_65_12 &
% 69.70/9.85 | queue(all_65_9) = all_65_1 & queue(all_65_12) = all_65_11 &
% 69.70/9.85 | $i(all_65_0) & $i(all_65_1) & $i(all_65_2) & $i(all_65_3) &
% 69.70/9.85 | $i(all_65_4) & $i(all_65_5) & $i(all_65_6) & $i(all_65_7) &
% 69.70/9.85 | $i(all_65_8) & $i(all_65_9) & $i(all_65_10) & $i(all_65_11) &
% 69.70/9.85 | $i(all_65_12) & $i(all_65_13) & $i(all_65_14) & $i(all_65_15) &
% 69.70/9.85 | leq(nbr_proc, all_65_3) & setIn(all_65_4, alive) & setIn(all_65_7,
% 69.70/9.85 | alive) & setIn(all_65_14, alive) & elem(all_65_2, all_65_0) & !
% 69.70/9.85 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 69.70/9.85 | [v5: $i] : ( ~ (m_Halt(v2) = v4) | ~ (host(v1) = v5) | ~ (host(v0) =
% 69.70/9.85 | v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v2, alive) | ~
% 69.70/9.85 | setIn(v0, alive) | ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9:
% 69.70/9.85 | $i] : ? [v10: $i] : ? [v11: $i] : (( ~ (v11 = norm) &
% 69.70/9.85 | index(status, v3) = v11 & $i(v11)) | ( ~ (v10 = v3) & index(ldr,
% 69.70/9.85 | v3) = v10 & $i(v10)) | ( ~ (v9 = elec_2) & index(status, v6) =
% 69.70/9.85 | v9 & host(v2) = v6 & $i(v9) & $i(v6)) | (index(pendack, v6) = v7
% 69.70/9.85 | & host(v2) = v6 & $i(v7) & $i(v6) & leq(v7, v3)) | (queue(v5) =
% 69.70/9.85 | v8 & $i(v8) & ~ elem(v4, v8)))) & ! [v0: $i] : ! [v1: $i] :
% 69.70/9.85 | ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (m_Down(v0) = v3) | ~
% 69.70/9.85 | (m_Ack(v2, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 69.70/9.85 | setIn(v2, alive) | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 69.70/9.85 | $i] : ? [v9: $i] : (( ~ (v9 = v7) & host(v2) = v7 & host(v0) = v9
% 69.70/9.85 | & $i(v9) & $i(v7)) | (host(v2) = v7 & queue(v7) = v8 & $i(v8) &
% 69.70/9.85 | $i(v7) & ~ elem(v4, v8)) | (host(v1) = v5 & queue(v5) = v6 &
% 69.70/9.85 | $i(v6) & $i(v5) & ~ elem(v3, v6)))) & ! [v0: $i] : ! [v1: $i]
% 69.70/9.85 | : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (m_Ack(v2, v1) = v3) |
% 69.70/9.85 | ~ (host(v0) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 69.70/9.85 | setIn(v2, alive) | ~ setIn(v0, alive) | ? [v5: $i] : ? [v6: $i] :
% 69.70/9.85 | ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11:
% 69.70/9.85 | $i] : (( ~ (v11 = norm) & index(status, v4) = v11 & $i(v11)) | ( ~
% 69.70/9.85 | (v10 = v4) & index(ldr, v4) = v10 & $i(v10)) | (host(v2) = v5 &
% 69.70/9.85 | $i(v5) & (( ~ (v9 = v7) & index(pendack, v5) = v7 & host(v1) =
% 69.70/9.85 | v9 & $i(v9) & $i(v7)) | ( ~ (v8 = elec_2) & index(status,
% 69.70/9.85 | v5) = v8 & $i(v8)) | (index(pendack, v5) = v7 & $i(v7) &
% 69.70/9.85 | ~ leq(nbr_proc, v7)) | (queue(v5) = v6 & $i(v6) & ~
% 69.70/9.85 | elem(v3, v6)))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 69.70/9.85 | : ! [v3: $i] : ! [v4: $i] : ( ~ (m_Ack(v2, v0) = v3) | ~ (host(v1)
% 69.70/9.85 | = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v2, alive) |
% 69.70/9.85 | ~ setIn(v1, alive) | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ?
% 69.70/9.85 | [v8: $i] : (( ~ (v7 = v4) & host(v0) = v7 & $i(v7)) | (index(down,
% 69.70/9.85 | v4) = v8 & host(v2) = v5 & $i(v8) & $i(v5) & ~ setIn(v5, v8))
% 69.70/9.85 | | (host(v2) = v5 & queue(v5) = v6 & $i(v6) & $i(v5) & ~ elem(v3,
% 69.70/9.85 | v6)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i]
% 69.70/9.85 | : ! [v4: $i] : ( ~ (m_Ack(v2, v0) = v3) | ~ (host(v1) = v4) | ~
% 69.70/9.85 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : ? [v6: $i] : ? [v7:
% 69.70/9.85 | $i] : ((host(v2) = v7 & host(v0) = v6 & $i(v7) & $i(v6) & ~
% 69.70/9.85 | leq(v6, v7)) | (queue(v4) = v5 & $i(v5) & ~ elem(v3, v5)))) &
% 69.70/9.85 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (m_Ldr(v1)
% 69.70/9.85 | = v2) | ~ (host(v0) = v3) | ~ $i(v1) | ~ $i(v0) | ? [v4: $i] :
% 69.70/9.85 | ? [v5: $i] : ((host(v1) = v5 & $i(v5) & ~ leq(v3, v5)) |
% 69.70/9.85 | (queue(v3) = v4 & $i(v4) & ~ elem(v2, v4)))) & ! [v0: $i] : !
% 69.70/9.85 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (m_Down(v1) = v2) | ~
% 69.70/9.85 | (host(v0) = v3) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v1, alive) | ?
% 69.70/9.85 | [v4: $i] : (queue(v3) = v4 & $i(v4) & ~ elem(v2, v4))) & ! [v0:
% 69.70/9.85 | $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (host(v1) = v3)
% 69.70/9.85 | | ~ (host(v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v1, alive) |
% 69.70/9.85 | ~ setIn(v0, alive) | leq(v2, v3) | ? [v4: $i] : ? [v5: $i] : ?
% 69.70/9.85 | [v6: $i] : ? [v7: $i] : (( ~ (v5 = elec_2) & index(status, v3) = v5
% 69.70/9.85 | & $i(v5)) | ( ~ (v4 = elec_2) & index(status, v2) = v4 & $i(v4))
% 69.70/9.85 | | (index(pendack, v3) = v7 & index(pendack, v2) = v6 & $i(v7) &
% 69.70/9.85 | $i(v6) & ~ leq(v6, v7)))) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 69.70/9.85 | $i] : (v1 = v0 | ~ (host(v1) = v2) | ~ (host(v0) = v2) | ~ $i(v1)
% 69.70/9.85 | | ~ $i(v0) | ~ setIn(v1, alive) | ~ setIn(v0, alive)) & ! [v0:
% 69.70/9.85 | $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (m_Ack(v1, v0) = v2) | ~
% 69.70/9.85 | $i(v1) | ~ $i(v0) | ~ setIn(v1, alive) | ? [v3: $i] : ? [v4: $i]
% 69.70/9.85 | : ? [v5: $i] : ? [v6: $i] : (host(v1) = v3 & $i(v3) &
% 69.70/9.85 | ((index(pendack, v3) = v6 & host(v0) = v5 & $i(v6) & $i(v5) &
% 69.70/9.85 | leq(v5, v6)) | (queue(v3) = v4 & $i(v4) & ~ elem(v2, v4)))))
% 69.70/9.85 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (m_Ack(v1, v0) = v2) |
% 69.70/9.85 | ~ $i(v1) | ~ $i(v0) | ~ setIn(v1, alive) | ? [v3: $i] : ? [v4:
% 69.70/9.85 | $i] : ? [v5: $i] : (host(v1) = v3 & $i(v3) & (( ~ (v4 = elec_1) &
% 69.70/9.85 | index(status, v3) = v4 & $i(v4)) | (queue(v3) = v5 & $i(v5) &
% 69.70/9.85 | ~ elem(v2, v5))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 69.70/9.85 | ( ~ (m_Ack(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | setIn(v1, pids) |
% 69.70/9.85 | ? [v3: $i] : ? [v4: $i] : (host(v1) = v3 & queue(v3) = v4 & $i(v4)
% 69.70/9.85 | & $i(v3) & ~ elem(v2, v4))) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 69.70/9.85 | $i] : ( ~ (m_Ack(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 69.70/9.85 | setIn(v1, alive) | ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6:
% 69.70/9.85 | $i] : (( ~ (v4 = elec_1) & index(status, v3) = v4 & host(v1) = v3
% 69.70/9.85 | & $i(v4) & $i(v3)) | (host(v0) = v5 & queue(v5) = v6 & $i(v6) &
% 69.70/9.85 | $i(v5) & ~ elem(v2, v6)))) & ! [v0: $i] : ! [v1: $i] : !
% 69.70/9.85 | [v2: $i] : ( ~ (host(v1) = v2) | ~ (host(v0) = v2) | ~ $i(v1) | ~
% 69.70/9.85 | $i(v0) | ~ leq(v1, v0) | ~ setIn(v1, alive) | setIn(v0, alive)) &
% 69.70/9.85 | ! [v0: $i] : ! [v1: $i] : ( ~ (host(v0) = v1) | ~ $i(v0) | ~
% 69.70/9.85 | setIn(v0, alive) | ? [v2: $i] : ? [v3: $i] : ((v3 = v0 &
% 69.70/9.85 | index(elid, v1) = v0) | ( ~ (v2 = elec_1) & ~ (v2 = elec_2) &
% 69.70/9.85 | index(status, v1) = v2 & $i(v2))))
% 69.70/9.85 |
% 69.70/9.85 | ALPHA: (10) implies:
% 69.70/9.85 | (11) ~ (all_65_6 = all_65_12)
% 69.70/9.85 | (12) elem(all_65_2, all_65_0)
% 69.70/9.85 | (13) setIn(all_65_7, alive)
% 69.70/9.85 | (14) setIn(all_65_4, alive)
% 69.70/9.85 | (15) leq(nbr_proc, all_65_3)
% 69.70/9.85 | (16) $i(all_65_15)
% 69.70/9.85 | (17) $i(all_65_14)
% 69.70/9.85 | (18) $i(all_65_13)
% 69.70/9.85 | (19) $i(all_65_10)
% 69.70/9.85 | (20) $i(all_65_8)
% 69.70/9.85 | (21) $i(all_65_7)
% 69.70/9.85 | (22) $i(all_65_6)
% 69.70/9.85 | (23) $i(all_65_5)
% 69.70/9.85 | (24) $i(all_65_4)
% 69.70/9.85 | (25) $i(all_65_3)
% 69.70/9.85 | (26) $i(all_65_2)
% 69.70/9.85 | (27) $i(all_65_1)
% 69.70/9.85 | (28) queue(all_65_12) = all_65_11
% 69.70/9.85 | (29) queue(all_65_9) = all_65_1
% 69.70/9.85 | (30) host(all_65_14) = all_65_12
% 69.70/9.85 | (31) host(all_65_7) = all_65_6
% 69.70/9.85 | (32) host(all_65_5) = all_65_3
% 69.70/9.85 | (33) host(all_65_4) = all_65_9
% 69.70/9.85 | (34) m_Ack(all_65_13, all_65_14) = all_65_8
% 69.70/9.85 | (35) m_Ack(all_65_4, all_65_5) = all_65_2
% 69.70/9.85 | (36) m_Halt(all_65_13) = all_65_10
% 69.70/9.85 | (37) cons(all_65_10, all_65_15) = all_65_11
% 69.70/9.85 | (38) snoc(all_65_1, all_65_8) = all_65_0
% 69.70/9.85 | (39) index(pendack, all_65_9) = all_65_3
% 69.70/9.85 | (40) index(status, all_65_9) = elec_2
% 69.70/9.85 | (41) index(status, all_65_6) = norm
% 69.70/9.85 | (42) index(ldr, all_65_6) = all_65_6
% 69.70/9.85 | (43) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (m_Ack(v1, v0) = v2) |
% 69.70/9.85 | ~ $i(v1) | ~ $i(v0) | ~ setIn(v1, alive) | ? [v3: $i] : ? [v4:
% 69.70/9.85 | $i] : ? [v5: $i] : (host(v1) = v3 & $i(v3) & (( ~ (v4 = elec_1) &
% 69.70/9.85 | index(status, v3) = v4 & $i(v4)) | (queue(v3) = v5 & $i(v5) &
% 69.70/9.85 | ~ elem(v2, v5)))))
% 69.70/9.85 | (44) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (m_Ack(v1, v0) = v2) |
% 69.70/9.85 | ~ $i(v1) | ~ $i(v0) | ~ setIn(v1, alive) | ? [v3: $i] : ? [v4:
% 69.70/9.85 | $i] : ? [v5: $i] : ? [v6: $i] : (host(v1) = v3 & $i(v3) &
% 69.70/9.85 | ((index(pendack, v3) = v6 & host(v0) = v5 & $i(v6) & $i(v5) &
% 69.70/9.85 | leq(v5, v6)) | (queue(v3) = v4 & $i(v4) & ~ elem(v2, v4)))))
% 70.00/9.86 | (45) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 70.00/9.86 | ( ~ (m_Ack(v2, v1) = v3) | ~ (host(v0) = v4) | ~ $i(v2) | ~ $i(v1)
% 70.00/9.86 | | ~ $i(v0) | ~ setIn(v2, alive) | ~ setIn(v0, alive) | ? [v5:
% 70.00/9.86 | $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 70.00/9.86 | [v10: $i] : ? [v11: $i] : (( ~ (v11 = norm) & index(status, v4) =
% 70.00/9.86 | v11 & $i(v11)) | ( ~ (v10 = v4) & index(ldr, v4) = v10 &
% 70.00/9.86 | $i(v10)) | (host(v2) = v5 & $i(v5) & (( ~ (v9 = v7) &
% 70.00/9.86 | index(pendack, v5) = v7 & host(v1) = v9 & $i(v9) & $i(v7)) |
% 70.00/9.86 | ( ~ (v8 = elec_2) & index(status, v5) = v8 & $i(v8)) |
% 70.00/9.86 | (index(pendack, v5) = v7 & $i(v7) & ~ leq(nbr_proc, v7)) |
% 70.00/9.86 | (queue(v5) = v6 & $i(v6) & ~ elem(v3, v6))))))
% 70.00/9.86 | (46) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 70.00/9.86 | ! [v5: $i] : ( ~ (m_Halt(v2) = v4) | ~ (host(v1) = v5) | ~ (host(v0)
% 70.00/9.86 | = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v2, alive) |
% 70.00/9.86 | ~ setIn(v0, alive) | ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ?
% 70.00/9.86 | [v9: $i] : ? [v10: $i] : ? [v11: $i] : (( ~ (v11 = norm) &
% 70.00/9.86 | index(status, v3) = v11 & $i(v11)) | ( ~ (v10 = v3) & index(ldr,
% 70.00/9.86 | v3) = v10 & $i(v10)) | ( ~ (v9 = elec_2) & index(status, v6) =
% 70.00/9.86 | v9 & host(v2) = v6 & $i(v9) & $i(v6)) | (index(pendack, v6) = v7
% 70.00/9.86 | & host(v2) = v6 & $i(v7) & $i(v6) & leq(v7, v3)) | (queue(v5) =
% 70.00/9.86 | v8 & $i(v8) & ~ elem(v4, v8))))
% 70.00/9.86 |
% 70.00/9.86 | GROUND_INST: instantiating (1) with all_65_7, all_65_6, simplifying with (21),
% 70.00/9.86 | (31) gives:
% 70.00/9.86 | (47) leq(all_65_6, nbr_proc)
% 70.00/9.86 |
% 70.00/9.86 | GROUND_INST: instantiating (1) with all_65_5, all_65_3, simplifying with (23),
% 70.00/9.86 | (32) gives:
% 70.00/9.86 | (48) leq(all_65_3, nbr_proc)
% 70.00/9.86 |
% 70.00/9.86 | GROUND_INST: instantiating (45) with all_65_7, all_65_5, all_65_4, all_65_2,
% 70.00/9.86 | all_65_6, simplifying with (13), (14), (21), (23), (24), (31),
% 70.00/9.86 | (35) gives:
% 70.00/9.86 | (49) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 70.00/9.86 | ? [v5: any] : ? [v6: $i] : (( ~ (v6 = norm) & index(status, all_65_6)
% 70.00/9.86 | = v6 & $i(v6)) | ( ~ (v5 = all_65_6) & index(ldr, all_65_6) = v5 &
% 70.00/9.86 | $i(v5)) | (host(all_65_4) = v0 & $i(v0) & (( ~ (v4 = v2) &
% 70.00/9.86 | index(pendack, v0) = v2 & host(all_65_5) = v4 & $i(v4) &
% 70.00/9.86 | $i(v2)) | ( ~ (v3 = elec_2) & index(status, v0) = v3 & $i(v3))
% 70.00/9.86 | | (index(pendack, v0) = v2 & $i(v2) & ~ leq(nbr_proc, v2)) |
% 70.00/9.86 | (queue(v0) = v1 & $i(v1) & ~ elem(all_65_2, v1)))))
% 70.00/9.86 |
% 70.00/9.86 | GROUND_INST: instantiating (44) with all_65_5, all_65_4, all_65_2, simplifying
% 70.00/9.86 | with (14), (23), (24), (35) gives:
% 70.00/9.86 | (50) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 70.00/9.86 | (host(all_65_4) = v0 & $i(v0) & ((index(pendack, v0) = v3 &
% 70.00/9.86 | host(all_65_5) = v2 & $i(v3) & $i(v2) & leq(v2, v3)) |
% 70.00/9.86 | (queue(v0) = v1 & $i(v1) & ~ elem(all_65_2, v1))))
% 70.00/9.86 |
% 70.00/9.86 | GROUND_INST: instantiating (43) with all_65_5, all_65_4, all_65_2, simplifying
% 70.00/9.86 | with (14), (23), (24), (35) gives:
% 70.00/9.86 | (51) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (host(all_65_4) = v0 &
% 70.00/9.86 | $i(v0) & (( ~ (v1 = elec_1) & index(status, v0) = v1 & $i(v1)) |
% 70.00/9.86 | (queue(v0) = v2 & $i(v2) & ~ elem(all_65_2, v2))))
% 70.00/9.86 |
% 70.00/9.86 | GROUND_INST: instantiating (2) with all_65_10, all_65_15, all_65_11,
% 70.00/9.86 | simplifying with (16), (19), (37) gives:
% 70.00/9.86 | (52) elem(all_65_10, all_65_11)
% 70.00/9.86 |
% 70.00/9.86 | GROUND_INST: instantiating (3) with all_65_2, all_65_8, all_65_1, all_65_0,
% 70.00/9.86 | simplifying with (12), (20), (26), (27), (38) gives:
% 70.00/9.86 | (53) all_65_2 = all_65_8 | elem(all_65_2, all_65_1)
% 70.00/9.86 |
% 70.00/9.86 | DELTA: instantiating (51) with fresh symbols all_92_0, all_92_1, all_92_2
% 70.00/9.86 | gives:
% 70.00/9.86 | (54) host(all_65_4) = all_92_2 & $i(all_92_2) & (( ~ (all_92_1 = elec_1) &
% 70.00/9.86 | index(status, all_92_2) = all_92_1 & $i(all_92_1)) |
% 70.00/9.86 | (queue(all_92_2) = all_92_0 & $i(all_92_0) & ~ elem(all_65_2,
% 70.00/9.86 | all_92_0)))
% 70.00/9.86 |
% 70.00/9.86 | ALPHA: (54) implies:
% 70.00/9.86 | (55) host(all_65_4) = all_92_2
% 70.00/9.86 |
% 70.00/9.86 | DELTA: instantiating (50) with fresh symbols all_99_0, all_99_1, all_99_2,
% 70.00/9.86 | all_99_3 gives:
% 70.00/9.86 | (56) host(all_65_4) = all_99_3 & $i(all_99_3) & ((index(pendack, all_99_3)
% 70.00/9.86 | = all_99_0 & host(all_65_5) = all_99_1 & $i(all_99_0) &
% 70.00/9.86 | $i(all_99_1) & leq(all_99_1, all_99_0)) | (queue(all_99_3) =
% 70.00/9.86 | all_99_2 & $i(all_99_2) & ~ elem(all_65_2, all_99_2)))
% 70.00/9.86 |
% 70.00/9.86 | ALPHA: (56) implies:
% 70.00/9.86 | (57) host(all_65_4) = all_99_3
% 70.00/9.86 |
% 70.00/9.86 | DELTA: instantiating (49) with fresh symbols all_107_0, all_107_1, all_107_2,
% 70.00/9.86 | all_107_3, all_107_4, all_107_5, all_107_6 gives:
% 70.00/9.87 | (58) ( ~ (all_107_0 = norm) & index(status, all_65_6) = all_107_0 &
% 70.00/9.87 | $i(all_107_0)) | ( ~ (all_107_1 = all_65_6) & index(ldr, all_65_6) =
% 70.00/9.87 | all_107_1 & $i(all_107_1)) | (host(all_65_4) = all_107_6 &
% 70.00/9.87 | $i(all_107_6) & (( ~ (all_107_2 = all_107_4) & index(pendack,
% 70.00/9.87 | all_107_6) = all_107_4 & host(all_65_5) = all_107_2 &
% 70.00/9.87 | $i(all_107_2) & $i(all_107_4)) | ( ~ (all_107_3 = elec_2) &
% 70.00/9.87 | index(status, all_107_6) = all_107_3 & $i(all_107_3)) |
% 70.00/9.87 | (index(pendack, all_107_6) = all_107_4 & $i(all_107_4) & ~
% 70.00/9.87 | leq(nbr_proc, all_107_4)) | (queue(all_107_6) = all_107_5 &
% 70.00/9.87 | $i(all_107_5) & ~ elem(all_65_2, all_107_5))))
% 70.00/9.87 |
% 70.00/9.87 | BETA: splitting (58) gives:
% 70.00/9.87 |
% 70.00/9.87 | Case 1:
% 70.00/9.87 | |
% 70.00/9.87 | | (59) ~ (all_107_0 = norm) & index(status, all_65_6) = all_107_0 &
% 70.00/9.87 | | $i(all_107_0)
% 70.00/9.87 | |
% 70.00/9.87 | | ALPHA: (59) implies:
% 70.00/9.87 | | (60) ~ (all_107_0 = norm)
% 70.00/9.87 | | (61) index(status, all_65_6) = all_107_0
% 70.00/9.87 | |
% 70.00/9.87 | | GROUND_INST: instantiating (9) with norm, all_107_0, all_65_6, status,
% 70.00/9.87 | | simplifying with (41), (61) gives:
% 70.00/9.87 | | (62) all_107_0 = norm
% 70.00/9.87 | |
% 70.00/9.87 | | REDUCE: (60), (62) imply:
% 70.00/9.87 | | (63) $false
% 70.00/9.87 | |
% 70.00/9.87 | | CLOSE: (63) is inconsistent.
% 70.00/9.87 | |
% 70.00/9.87 | Case 2:
% 70.00/9.87 | |
% 70.05/9.87 | | (64) ( ~ (all_107_1 = all_65_6) & index(ldr, all_65_6) = all_107_1 &
% 70.05/9.87 | | $i(all_107_1)) | (host(all_65_4) = all_107_6 & $i(all_107_6) & ((
% 70.05/9.87 | | ~ (all_107_2 = all_107_4) & index(pendack, all_107_6) =
% 70.05/9.87 | | all_107_4 & host(all_65_5) = all_107_2 & $i(all_107_2) &
% 70.05/9.87 | | $i(all_107_4)) | ( ~ (all_107_3 = elec_2) & index(status,
% 70.05/9.87 | | all_107_6) = all_107_3 & $i(all_107_3)) | (index(pendack,
% 70.05/9.87 | | all_107_6) = all_107_4 & $i(all_107_4) & ~ leq(nbr_proc,
% 70.05/9.87 | | all_107_4)) | (queue(all_107_6) = all_107_5 & $i(all_107_5)
% 70.05/9.87 | | & ~ elem(all_65_2, all_107_5))))
% 70.05/9.87 | |
% 70.05/9.87 | | BETA: splitting (64) gives:
% 70.05/9.87 | |
% 70.05/9.87 | | Case 1:
% 70.05/9.87 | | |
% 70.05/9.87 | | | (65) ~ (all_107_1 = all_65_6) & index(ldr, all_65_6) = all_107_1 &
% 70.05/9.87 | | | $i(all_107_1)
% 70.05/9.87 | | |
% 70.05/9.87 | | | ALPHA: (65) implies:
% 70.05/9.87 | | | (66) ~ (all_107_1 = all_65_6)
% 70.05/9.87 | | | (67) index(ldr, all_65_6) = all_107_1
% 70.05/9.87 | | |
% 70.05/9.87 | | | GROUND_INST: instantiating (9) with all_65_6, all_107_1, all_65_6, ldr,
% 70.05/9.87 | | | simplifying with (42), (67) gives:
% 70.05/9.87 | | | (68) all_107_1 = all_65_6
% 70.05/9.87 | | |
% 70.05/9.87 | | | REDUCE: (66), (68) imply:
% 70.05/9.87 | | | (69) $false
% 70.05/9.87 | | |
% 70.05/9.87 | | | CLOSE: (69) is inconsistent.
% 70.05/9.87 | | |
% 70.05/9.87 | | Case 2:
% 70.05/9.87 | | |
% 70.05/9.87 | | | (70) host(all_65_4) = all_107_6 & $i(all_107_6) & (( ~ (all_107_2 =
% 70.05/9.87 | | | all_107_4) & index(pendack, all_107_6) = all_107_4 &
% 70.05/9.87 | | | host(all_65_5) = all_107_2 & $i(all_107_2) & $i(all_107_4)) |
% 70.05/9.87 | | | ( ~ (all_107_3 = elec_2) & index(status, all_107_6) = all_107_3
% 70.05/9.87 | | | & $i(all_107_3)) | (index(pendack, all_107_6) = all_107_4 &
% 70.05/9.87 | | | $i(all_107_4) & ~ leq(nbr_proc, all_107_4)) |
% 70.05/9.87 | | | (queue(all_107_6) = all_107_5 & $i(all_107_5) & ~
% 70.05/9.87 | | | elem(all_65_2, all_107_5)))
% 70.05/9.87 | | |
% 70.05/9.87 | | | ALPHA: (70) implies:
% 70.05/9.87 | | | (71) host(all_65_4) = all_107_6
% 70.05/9.87 | | | (72) ( ~ (all_107_2 = all_107_4) & index(pendack, all_107_6) =
% 70.05/9.87 | | | all_107_4 & host(all_65_5) = all_107_2 & $i(all_107_2) &
% 70.05/9.87 | | | $i(all_107_4)) | ( ~ (all_107_3 = elec_2) & index(status,
% 70.05/9.87 | | | all_107_6) = all_107_3 & $i(all_107_3)) | (index(pendack,
% 70.05/9.87 | | | all_107_6) = all_107_4 & $i(all_107_4) & ~ leq(nbr_proc,
% 70.05/9.87 | | | all_107_4)) | (queue(all_107_6) = all_107_5 & $i(all_107_5) &
% 70.05/9.87 | | | ~ elem(all_65_2, all_107_5))
% 70.05/9.87 | | |
% 70.05/9.87 | | | GROUND_INST: instantiating (8) with all_65_9, all_99_3, all_65_4,
% 70.05/9.87 | | | simplifying with (33), (57) gives:
% 70.05/9.87 | | | (73) all_99_3 = all_65_9
% 70.05/9.87 | | |
% 70.05/9.87 | | | GROUND_INST: instantiating (8) with all_99_3, all_107_6, all_65_4,
% 70.05/9.87 | | | simplifying with (57), (71) gives:
% 70.05/9.87 | | | (74) all_107_6 = all_99_3
% 70.05/9.87 | | |
% 70.05/9.87 | | | GROUND_INST: instantiating (8) with all_92_2, all_107_6, all_65_4,
% 70.05/9.87 | | | simplifying with (55), (71) gives:
% 70.05/9.87 | | | (75) all_107_6 = all_92_2
% 70.05/9.87 | | |
% 70.05/9.87 | | | COMBINE_EQS: (74), (75) imply:
% 70.05/9.87 | | | (76) all_99_3 = all_92_2
% 70.05/9.87 | | |
% 70.05/9.87 | | | SIMP: (76) implies:
% 70.05/9.87 | | | (77) all_99_3 = all_92_2
% 70.05/9.87 | | |
% 70.05/9.87 | | | COMBINE_EQS: (73), (77) imply:
% 70.05/9.87 | | | (78) all_92_2 = all_65_9
% 70.05/9.87 | | |
% 70.05/9.87 | | | COMBINE_EQS: (75), (78) imply:
% 70.05/9.87 | | | (79) all_107_6 = all_65_9
% 70.05/9.87 | | |
% 70.05/9.87 | | | BETA: splitting (72) gives:
% 70.05/9.87 | | |
% 70.05/9.87 | | | Case 1:
% 70.05/9.87 | | | |
% 70.05/9.87 | | | | (80) ( ~ (all_107_2 = all_107_4) & index(pendack, all_107_6) =
% 70.05/9.87 | | | | all_107_4 & host(all_65_5) = all_107_2 & $i(all_107_2) &
% 70.05/9.87 | | | | $i(all_107_4)) | ( ~ (all_107_3 = elec_2) & index(status,
% 70.05/9.87 | | | | all_107_6) = all_107_3 & $i(all_107_3))
% 70.05/9.87 | | | |
% 70.05/9.87 | | | | BETA: splitting (80) gives:
% 70.05/9.87 | | | |
% 70.05/9.87 | | | | Case 1:
% 70.05/9.87 | | | | |
% 70.05/9.87 | | | | | (81) ~ (all_107_2 = all_107_4) & index(pendack, all_107_6) =
% 70.05/9.87 | | | | | all_107_4 & host(all_65_5) = all_107_2 & $i(all_107_2) &
% 70.05/9.87 | | | | | $i(all_107_4)
% 70.05/9.87 | | | | |
% 70.05/9.87 | | | | | ALPHA: (81) implies:
% 70.05/9.88 | | | | | (82) ~ (all_107_2 = all_107_4)
% 70.05/9.88 | | | | | (83) host(all_65_5) = all_107_2
% 70.05/9.88 | | | | | (84) index(pendack, all_107_6) = all_107_4
% 70.05/9.88 | | | | |
% 70.05/9.88 | | | | | REDUCE: (79), (84) imply:
% 70.05/9.88 | | | | | (85) index(pendack, all_65_9) = all_107_4
% 70.05/9.88 | | | | |
% 70.05/9.88 | | | | | GROUND_INST: instantiating (8) with all_65_3, all_107_2, all_65_5,
% 70.05/9.88 | | | | | simplifying with (32), (83) gives:
% 70.05/9.88 | | | | | (86) all_107_2 = all_65_3
% 70.05/9.88 | | | | |
% 70.05/9.88 | | | | | GROUND_INST: instantiating (9) with all_65_3, all_107_4, all_65_9,
% 70.05/9.88 | | | | | pendack, simplifying with (39), (85) gives:
% 70.05/9.88 | | | | | (87) all_107_4 = all_65_3
% 70.05/9.88 | | | | |
% 70.05/9.88 | | | | | REDUCE: (82), (86), (87) imply:
% 70.05/9.88 | | | | | (88) $false
% 70.05/9.88 | | | | |
% 70.05/9.88 | | | | | CLOSE: (88) is inconsistent.
% 70.05/9.88 | | | | |
% 70.05/9.88 | | | | Case 2:
% 70.05/9.88 | | | | |
% 70.05/9.88 | | | | | (89) ~ (all_107_3 = elec_2) & index(status, all_107_6) = all_107_3
% 70.05/9.88 | | | | | & $i(all_107_3)
% 70.05/9.88 | | | | |
% 70.05/9.88 | | | | | ALPHA: (89) implies:
% 70.05/9.88 | | | | | (90) ~ (all_107_3 = elec_2)
% 70.05/9.88 | | | | | (91) index(status, all_107_6) = all_107_3
% 70.05/9.88 | | | | |
% 70.05/9.88 | | | | | REDUCE: (79), (91) imply:
% 70.05/9.88 | | | | | (92) index(status, all_65_9) = all_107_3
% 70.05/9.88 | | | | |
% 70.05/9.88 | | | | | GROUND_INST: instantiating (9) with elec_2, all_107_3, all_65_9,
% 70.05/9.88 | | | | | status, simplifying with (40), (92) gives:
% 70.05/9.88 | | | | | (93) all_107_3 = elec_2
% 70.05/9.88 | | | | |
% 70.05/9.88 | | | | | REDUCE: (90), (93) imply:
% 70.05/9.88 | | | | | (94) $false
% 70.05/9.88 | | | | |
% 70.05/9.88 | | | | | CLOSE: (94) is inconsistent.
% 70.05/9.88 | | | | |
% 70.05/9.88 | | | | End of split
% 70.05/9.88 | | | |
% 70.05/9.88 | | | Case 2:
% 70.05/9.88 | | | |
% 70.05/9.88 | | | | (95) (index(pendack, all_107_6) = all_107_4 & $i(all_107_4) & ~
% 70.05/9.88 | | | | leq(nbr_proc, all_107_4)) | (queue(all_107_6) = all_107_5 &
% 70.05/9.88 | | | | $i(all_107_5) & ~ elem(all_65_2, all_107_5))
% 70.05/9.88 | | | |
% 70.05/9.88 | | | | BETA: splitting (95) gives:
% 70.05/9.88 | | | |
% 70.05/9.88 | | | | Case 1:
% 70.05/9.88 | | | | |
% 70.05/9.88 | | | | | (96) index(pendack, all_107_6) = all_107_4 & $i(all_107_4) & ~
% 70.05/9.88 | | | | | leq(nbr_proc, all_107_4)
% 70.05/9.88 | | | | |
% 70.05/9.88 | | | | | ALPHA: (96) implies:
% 70.05/9.88 | | | | | (97) ~ leq(nbr_proc, all_107_4)
% 70.05/9.88 | | | | | (98) index(pendack, all_107_6) = all_107_4
% 70.05/9.88 | | | | |
% 70.05/9.88 | | | | | REDUCE: (79), (98) imply:
% 70.05/9.88 | | | | | (99) index(pendack, all_65_9) = all_107_4
% 70.05/9.88 | | | | |
% 70.05/9.88 | | | | | GROUND_INST: instantiating (9) with all_65_3, all_107_4, all_65_9,
% 70.05/9.88 | | | | | pendack, simplifying with (39), (99) gives:
% 70.05/9.88 | | | | | (100) all_107_4 = all_65_3
% 70.05/9.88 | | | | |
% 70.05/9.88 | | | | | REDUCE: (97), (100) imply:
% 70.05/9.88 | | | | | (101) ~ leq(nbr_proc, all_65_3)
% 70.05/9.88 | | | | |
% 70.05/9.88 | | | | | PRED_UNIFY: (15), (101) imply:
% 70.05/9.88 | | | | | (102) $false
% 70.05/9.88 | | | | |
% 70.05/9.88 | | | | | CLOSE: (102) is inconsistent.
% 70.05/9.88 | | | | |
% 70.05/9.88 | | | | Case 2:
% 70.05/9.88 | | | | |
% 70.05/9.88 | | | | | (103) queue(all_107_6) = all_107_5 & $i(all_107_5) & ~
% 70.05/9.88 | | | | | elem(all_65_2, all_107_5)
% 70.05/9.88 | | | | |
% 70.05/9.88 | | | | | ALPHA: (103) implies:
% 70.05/9.88 | | | | | (104) ~ elem(all_65_2, all_107_5)
% 70.05/9.88 | | | | | (105) queue(all_107_6) = all_107_5
% 70.05/9.88 | | | | |
% 70.05/9.88 | | | | | REDUCE: (79), (105) imply:
% 70.05/9.88 | | | | | (106) queue(all_65_9) = all_107_5
% 70.05/9.88 | | | | |
% 70.05/9.88 | | | | | GROUND_INST: instantiating (7) with all_65_1, all_107_5, all_65_9,
% 70.05/9.88 | | | | | simplifying with (29), (106) gives:
% 70.05/9.88 | | | | | (107) all_107_5 = all_65_1
% 70.05/9.88 | | | | |
% 70.05/9.88 | | | | | REDUCE: (104), (107) imply:
% 70.05/9.88 | | | | | (108) ~ elem(all_65_2, all_65_1)
% 70.05/9.88 | | | | |
% 70.05/9.88 | | | | | BETA: splitting (53) gives:
% 70.05/9.88 | | | | |
% 70.05/9.88 | | | | | Case 1:
% 70.05/9.88 | | | | | |
% 70.05/9.88 | | | | | | (109) elem(all_65_2, all_65_1)
% 70.05/9.88 | | | | | |
% 70.05/9.88 | | | | | | PRED_UNIFY: (108), (109) imply:
% 70.05/9.88 | | | | | | (110) $false
% 70.05/9.88 | | | | | |
% 70.05/9.88 | | | | | | CLOSE: (110) is inconsistent.
% 70.05/9.88 | | | | | |
% 70.05/9.88 | | | | | Case 2:
% 70.05/9.88 | | | | | |
% 70.05/9.88 | | | | | | (111) all_65_2 = all_65_8
% 70.05/9.88 | | | | | |
% 70.05/9.88 | | | | | | REDUCE: (35), (111) imply:
% 70.05/9.88 | | | | | | (112) m_Ack(all_65_4, all_65_5) = all_65_8
% 70.05/9.88 | | | | | |
% 70.05/9.88 | | | | | | GROUND_INST: instantiating (axiom_62) with all_65_6, nbr_proc,
% 70.05/9.88 | | | | | | all_65_3, simplifying with (5), (15), (22), (25), (47)
% 70.05/9.88 | | | | | | gives:
% 70.05/9.88 | | | | | | (113) leq(all_65_6, all_65_3)
% 70.05/9.88 | | | | | |
% 70.05/9.88 | | | | | | GROUND_INST: instantiating (4) with nbr_proc, all_65_3, simplifying
% 70.05/9.88 | | | | | | with (5), (15), (25), (48) gives:
% 70.05/9.88 | | | | | | (114) all_65_3 = nbr_proc
% 70.05/9.88 | | | | | |
% 70.05/9.88 | | | | | | GROUND_INST: instantiating (axiom_32) with all_65_13, all_65_4,
% 70.05/9.88 | | | | | | all_65_14, all_65_5, all_65_8, simplifying with (17),
% 70.05/9.88 | | | | | | (18), (23), (24), (34), (112) gives:
% 70.05/9.88 | | | | | | (115) all_65_5 = all_65_14
% 70.05/9.88 | | | | | |
% 70.05/9.88 | | | | | | GROUND_INST: instantiating (axiom_31) with all_65_13, all_65_4,
% 70.05/9.88 | | | | | | all_65_14, all_65_5, all_65_8, simplifying with (17),
% 70.05/9.88 | | | | | | (18), (23), (24), (34), (112) gives:
% 70.05/9.88 | | | | | | (116) all_65_4 = all_65_13
% 70.05/9.88 | | | | | |
% 70.05/9.88 | | | | | | REDUCE: (39), (114) imply:
% 70.05/9.88 | | | | | | (117) index(pendack, all_65_9) = nbr_proc
% 70.05/9.88 | | | | | |
% 70.05/9.88 | | | | | | REDUCE: (33), (116) imply:
% 70.05/9.88 | | | | | | (118) host(all_65_13) = all_65_9
% 70.05/9.88 | | | | | |
% 70.05/9.88 | | | | | | REDUCE: (32), (114), (115) imply:
% 70.05/9.88 | | | | | | (119) host(all_65_14) = nbr_proc
% 70.05/9.88 | | | | | |
% 70.05/9.88 | | | | | | REDUCE: (14), (116) imply:
% 70.05/9.88 | | | | | | (120) setIn(all_65_13, alive)
% 70.05/9.88 | | | | | |
% 70.05/9.88 | | | | | | GROUND_INST: instantiating (8) with all_65_12, nbr_proc, all_65_14,
% 70.05/9.88 | | | | | | simplifying with (30), (119) gives:
% 70.05/9.88 | | | | | | (121) all_65_12 = nbr_proc
% 70.05/9.88 | | | | | |
% 70.05/9.88 | | | | | | REDUCE: (11), (121) imply:
% 70.05/9.88 | | | | | | (122) ~ (all_65_6 = nbr_proc)
% 70.05/9.88 | | | | | |
% 70.05/9.88 | | | | | | REDUCE: (28), (121) imply:
% 70.05/9.88 | | | | | | (123) queue(nbr_proc) = all_65_11
% 70.05/9.88 | | | | | |
% 70.05/9.88 | | | | | | GROUND_INST: instantiating (46) with all_65_7, all_65_14, all_65_13,
% 70.05/9.88 | | | | | | all_65_6, all_65_10, nbr_proc, simplifying with (13),
% 70.05/9.88 | | | | | | (17), (18), (21), (31), (36), (119), (120) gives:
% 70.05/9.89 | | | | | | (124) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ?
% 70.05/9.89 | | | | | | [v4: any] : ? [v5: $i] : (( ~ (v5 = norm) & index(status,
% 70.05/9.89 | | | | | | all_65_6) = v5 & $i(v5)) | ( ~ (v4 = all_65_6) &
% 70.05/9.89 | | | | | | index(ldr, all_65_6) = v4 & $i(v4)) | ( ~ (v3 = elec_2)
% 70.05/9.89 | | | | | | & index(status, v0) = v3 & host(all_65_13) = v0 &
% 70.05/9.89 | | | | | | $i(v3) & $i(v0)) | (index(pendack, v0) = v1 &
% 70.05/9.89 | | | | | | host(all_65_13) = v0 & $i(v1) & $i(v0) & leq(v1,
% 70.05/9.89 | | | | | | all_65_6)) | (queue(nbr_proc) = v2 & $i(v2) & ~
% 70.05/9.89 | | | | | | elem(all_65_10, v2)))
% 70.05/9.89 | | | | | |
% 70.05/9.89 | | | | | | DELTA: instantiating (124) with fresh symbols all_166_0, all_166_1,
% 70.05/9.89 | | | | | | all_166_2, all_166_3, all_166_4, all_166_5 gives:
% 70.05/9.89 | | | | | | (125) ( ~ (all_166_0 = norm) & index(status, all_65_6) =
% 70.05/9.89 | | | | | | all_166_0 & $i(all_166_0)) | ( ~ (all_166_1 = all_65_6) &
% 70.05/9.89 | | | | | | index(ldr, all_65_6) = all_166_1 & $i(all_166_1)) | ( ~
% 70.05/9.89 | | | | | | (all_166_2 = elec_2) & index(status, all_166_5) =
% 70.05/9.89 | | | | | | all_166_2 & host(all_65_13) = all_166_5 & $i(all_166_2) &
% 70.05/9.89 | | | | | | $i(all_166_5)) | (index(pendack, all_166_5) = all_166_4 &
% 70.05/9.89 | | | | | | host(all_65_13) = all_166_5 & $i(all_166_4) &
% 70.05/9.89 | | | | | | $i(all_166_5) & leq(all_166_4, all_65_6)) |
% 70.05/9.89 | | | | | | (queue(nbr_proc) = all_166_3 & $i(all_166_3) & ~
% 70.05/9.89 | | | | | | elem(all_65_10, all_166_3))
% 70.05/9.89 | | | | | |
% 70.05/9.89 | | | | | | BETA: splitting (125) gives:
% 70.05/9.89 | | | | | |
% 70.05/9.89 | | | | | | Case 1:
% 70.05/9.89 | | | | | | |
% 70.05/9.89 | | | | | | | (126) ( ~ (all_166_0 = norm) & index(status, all_65_6) =
% 70.05/9.89 | | | | | | | all_166_0 & $i(all_166_0)) | ( ~ (all_166_1 = all_65_6)
% 70.05/9.89 | | | | | | | & index(ldr, all_65_6) = all_166_1 & $i(all_166_1))
% 70.05/9.89 | | | | | | |
% 70.05/9.89 | | | | | | | BETA: splitting (126) gives:
% 70.05/9.89 | | | | | | |
% 70.05/9.89 | | | | | | | Case 1:
% 70.05/9.89 | | | | | | | |
% 70.05/9.89 | | | | | | | | (127) ~ (all_166_0 = norm) & index(status, all_65_6) =
% 70.05/9.89 | | | | | | | | all_166_0 & $i(all_166_0)
% 70.05/9.89 | | | | | | | |
% 70.05/9.89 | | | | | | | | ALPHA: (127) implies:
% 70.05/9.89 | | | | | | | | (128) ~ (all_166_0 = norm)
% 70.05/9.89 | | | | | | | | (129) index(status, all_65_6) = all_166_0
% 70.05/9.89 | | | | | | | |
% 70.05/9.89 | | | | | | | | GROUND_INST: instantiating (9) with norm, all_166_0, all_65_6,
% 70.05/9.89 | | | | | | | | status, simplifying with (41), (129) gives:
% 70.05/9.89 | | | | | | | | (130) all_166_0 = norm
% 70.05/9.89 | | | | | | | |
% 70.05/9.89 | | | | | | | | REDUCE: (128), (130) imply:
% 70.05/9.89 | | | | | | | | (131) $false
% 70.05/9.89 | | | | | | | |
% 70.05/9.89 | | | | | | | | CLOSE: (131) is inconsistent.
% 70.05/9.89 | | | | | | | |
% 70.05/9.89 | | | | | | | Case 2:
% 70.05/9.89 | | | | | | | |
% 70.05/9.89 | | | | | | | | (132) ~ (all_166_1 = all_65_6) & index(ldr, all_65_6) =
% 70.05/9.89 | | | | | | | | all_166_1 & $i(all_166_1)
% 70.05/9.89 | | | | | | | |
% 70.05/9.89 | | | | | | | | ALPHA: (132) implies:
% 70.05/9.89 | | | | | | | | (133) ~ (all_166_1 = all_65_6)
% 70.05/9.89 | | | | | | | | (134) index(ldr, all_65_6) = all_166_1
% 70.05/9.89 | | | | | | | |
% 70.05/9.89 | | | | | | | | GROUND_INST: instantiating (9) with all_65_6, all_166_1,
% 70.05/9.89 | | | | | | | | all_65_6, ldr, simplifying with (42), (134) gives:
% 70.05/9.89 | | | | | | | | (135) all_166_1 = all_65_6
% 70.05/9.89 | | | | | | | |
% 70.05/9.89 | | | | | | | | REDUCE: (133), (135) imply:
% 70.05/9.89 | | | | | | | | (136) $false
% 70.05/9.89 | | | | | | | |
% 70.05/9.89 | | | | | | | | CLOSE: (136) is inconsistent.
% 70.05/9.89 | | | | | | | |
% 70.05/9.89 | | | | | | | End of split
% 70.05/9.89 | | | | | | |
% 70.05/9.89 | | | | | | Case 2:
% 70.05/9.89 | | | | | | |
% 70.05/9.89 | | | | | | | (137) ( ~ (all_166_2 = elec_2) & index(status, all_166_5) =
% 70.05/9.89 | | | | | | | all_166_2 & host(all_65_13) = all_166_5 & $i(all_166_2)
% 70.05/9.89 | | | | | | | & $i(all_166_5)) | (index(pendack, all_166_5) =
% 70.05/9.89 | | | | | | | all_166_4 & host(all_65_13) = all_166_5 & $i(all_166_4)
% 70.05/9.89 | | | | | | | & $i(all_166_5) & leq(all_166_4, all_65_6)) |
% 70.05/9.89 | | | | | | | (queue(nbr_proc) = all_166_3 & $i(all_166_3) & ~
% 70.05/9.89 | | | | | | | elem(all_65_10, all_166_3))
% 70.05/9.89 | | | | | | |
% 70.05/9.89 | | | | | | | BETA: splitting (137) gives:
% 70.05/9.89 | | | | | | |
% 70.05/9.89 | | | | | | | Case 1:
% 70.05/9.89 | | | | | | | |
% 70.05/9.89 | | | | | | | | (138) ~ (all_166_2 = elec_2) & index(status, all_166_5) =
% 70.05/9.89 | | | | | | | | all_166_2 & host(all_65_13) = all_166_5 & $i(all_166_2)
% 70.05/9.89 | | | | | | | | & $i(all_166_5)
% 70.05/9.89 | | | | | | | |
% 70.05/9.89 | | | | | | | | ALPHA: (138) implies:
% 70.05/9.89 | | | | | | | | (139) ~ (all_166_2 = elec_2)
% 70.05/9.89 | | | | | | | | (140) host(all_65_13) = all_166_5
% 70.05/9.89 | | | | | | | | (141) index(status, all_166_5) = all_166_2
% 70.05/9.89 | | | | | | | |
% 70.05/9.89 | | | | | | | | GROUND_INST: instantiating (8) with all_65_9, all_166_5,
% 70.05/9.89 | | | | | | | | all_65_13, simplifying with (118), (140) gives:
% 70.05/9.89 | | | | | | | | (142) all_166_5 = all_65_9
% 70.05/9.89 | | | | | | | |
% 70.05/9.89 | | | | | | | | REDUCE: (141), (142) imply:
% 70.05/9.89 | | | | | | | | (143) index(status, all_65_9) = all_166_2
% 70.05/9.89 | | | | | | | |
% 70.05/9.89 | | | | | | | | GROUND_INST: instantiating (9) with elec_2, all_166_2, all_65_9,
% 70.05/9.89 | | | | | | | | status, simplifying with (40), (143) gives:
% 70.05/9.89 | | | | | | | | (144) all_166_2 = elec_2
% 70.05/9.89 | | | | | | | |
% 70.05/9.89 | | | | | | | | REDUCE: (139), (144) imply:
% 70.05/9.89 | | | | | | | | (145) $false
% 70.05/9.89 | | | | | | | |
% 70.05/9.89 | | | | | | | | CLOSE: (145) is inconsistent.
% 70.05/9.89 | | | | | | | |
% 70.05/9.89 | | | | | | | Case 2:
% 70.05/9.89 | | | | | | | |
% 70.05/9.89 | | | | | | | | (146) (index(pendack, all_166_5) = all_166_4 &
% 70.05/9.89 | | | | | | | | host(all_65_13) = all_166_5 & $i(all_166_4) &
% 70.05/9.89 | | | | | | | | $i(all_166_5) & leq(all_166_4, all_65_6)) |
% 70.05/9.89 | | | | | | | | (queue(nbr_proc) = all_166_3 & $i(all_166_3) & ~
% 70.05/9.89 | | | | | | | | elem(all_65_10, all_166_3))
% 70.05/9.89 | | | | | | | |
% 70.05/9.89 | | | | | | | | BETA: splitting (146) gives:
% 70.05/9.89 | | | | | | | |
% 70.05/9.89 | | | | | | | | Case 1:
% 70.05/9.89 | | | | | | | | |
% 70.05/9.89 | | | | | | | | | (147) index(pendack, all_166_5) = all_166_4 &
% 70.05/9.89 | | | | | | | | | host(all_65_13) = all_166_5 & $i(all_166_4) &
% 70.05/9.89 | | | | | | | | | $i(all_166_5) & leq(all_166_4, all_65_6)
% 70.05/9.89 | | | | | | | | |
% 70.05/9.89 | | | | | | | | | ALPHA: (147) implies:
% 70.05/9.89 | | | | | | | | | (148) leq(all_166_4, all_65_6)
% 70.05/9.89 | | | | | | | | | (149) $i(all_166_4)
% 70.05/9.89 | | | | | | | | | (150) host(all_65_13) = all_166_5
% 70.05/9.89 | | | | | | | | | (151) index(pendack, all_166_5) = all_166_4
% 70.05/9.89 | | | | | | | | |
% 70.05/9.89 | | | | | | | | | GROUND_INST: instantiating (8) with all_65_9, all_166_5,
% 70.05/9.89 | | | | | | | | | all_65_13, simplifying with (118), (150) gives:
% 70.05/9.89 | | | | | | | | | (152) all_166_5 = all_65_9
% 70.05/9.89 | | | | | | | | |
% 70.05/9.89 | | | | | | | | | REDUCE: (151), (152) imply:
% 70.05/9.89 | | | | | | | | | (153) index(pendack, all_65_9) = all_166_4
% 70.05/9.89 | | | | | | | | |
% 70.05/9.89 | | | | | | | | | GROUND_INST: instantiating (9) with nbr_proc, all_166_4,
% 70.05/9.89 | | | | | | | | | all_65_9, pendack, simplifying with (117), (153)
% 70.05/9.89 | | | | | | | | | gives:
% 70.05/9.89 | | | | | | | | | (154) all_166_4 = nbr_proc
% 70.05/9.89 | | | | | | | | |
% 70.05/9.89 | | | | | | | | | REDUCE: (148), (154) imply:
% 70.05/9.89 | | | | | | | | | (155) leq(nbr_proc, all_65_6)
% 70.05/9.89 | | | | | | | | |
% 70.05/9.89 | | | | | | | | | GROUND_INST: instantiating (4) with all_65_6, nbr_proc,
% 70.05/9.89 | | | | | | | | | simplifying with (5), (22), (47), (155) gives:
% 70.05/9.89 | | | | | | | | | (156) all_65_6 = nbr_proc
% 70.05/9.89 | | | | | | | | |
% 70.05/9.89 | | | | | | | | | REDUCE: (122), (156) imply:
% 70.05/9.89 | | | | | | | | | (157) $false
% 70.05/9.89 | | | | | | | | |
% 70.05/9.89 | | | | | | | | | CLOSE: (157) is inconsistent.
% 70.05/9.89 | | | | | | | | |
% 70.05/9.89 | | | | | | | | Case 2:
% 70.05/9.89 | | | | | | | | |
% 70.05/9.89 | | | | | | | | | (158) queue(nbr_proc) = all_166_3 & $i(all_166_3) & ~
% 70.05/9.89 | | | | | | | | | elem(all_65_10, all_166_3)
% 70.05/9.89 | | | | | | | | |
% 70.05/9.89 | | | | | | | | | ALPHA: (158) implies:
% 70.05/9.89 | | | | | | | | | (159) ~ elem(all_65_10, all_166_3)
% 70.05/9.89 | | | | | | | | | (160) queue(nbr_proc) = all_166_3
% 70.05/9.89 | | | | | | | | |
% 70.05/9.89 | | | | | | | | | GROUND_INST: instantiating (7) with all_65_11, all_166_3,
% 70.05/9.89 | | | | | | | | | nbr_proc, simplifying with (123), (160) gives:
% 70.05/9.89 | | | | | | | | | (161) all_166_3 = all_65_11
% 70.05/9.89 | | | | | | | | |
% 70.05/9.89 | | | | | | | | | REDUCE: (159), (161) imply:
% 70.05/9.89 | | | | | | | | | (162) ~ elem(all_65_10, all_65_11)
% 70.05/9.89 | | | | | | | | |
% 70.05/9.89 | | | | | | | | | PRED_UNIFY: (52), (162) imply:
% 70.05/9.89 | | | | | | | | | (163) $false
% 70.05/9.89 | | | | | | | | |
% 70.05/9.89 | | | | | | | | | CLOSE: (163) is inconsistent.
% 70.05/9.89 | | | | | | | | |
% 70.05/9.89 | | | | | | | | End of split
% 70.05/9.89 | | | | | | | |
% 70.05/9.89 | | | | | | | End of split
% 70.05/9.89 | | | | | | |
% 70.05/9.89 | | | | | | End of split
% 70.05/9.89 | | | | | |
% 70.05/9.89 | | | | | End of split
% 70.05/9.89 | | | | |
% 70.05/9.89 | | | | End of split
% 70.05/9.89 | | | |
% 70.05/9.89 | | | End of split
% 70.05/9.89 | | |
% 70.05/9.89 | | End of split
% 70.05/9.89 | |
% 70.05/9.89 | End of split
% 70.05/9.89 |
% 70.05/9.89 End of proof
% 70.05/9.89 % SZS output end Proof for theBenchmark
% 70.05/9.90
% 70.05/9.90 9262ms
%------------------------------------------------------------------------------