TSTP Solution File: SWV474+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SWV474+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 : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 22:56:38 EDT 2023
% Result : Theorem 200.83s 26.86s
% Output : Proof 201.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SWV474+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.12 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.31 % Computer : n017.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Tue Aug 29 05:45:43 EDT 2023
% 0.12/0.32 % CPUTime :
% 0.17/0.59 ________ _____
% 0.17/0.59 ___ __ \_________(_)________________________________
% 0.17/0.59 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.17/0.59 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.17/0.59 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.17/0.59
% 0.17/0.59 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.17/0.59 (2023-06-19)
% 0.17/0.59
% 0.17/0.59 (c) Philipp Rümmer, 2009-2023
% 0.17/0.59 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.17/0.59 Amanda Stjerna.
% 0.17/0.59 Free software under BSD-3-Clause.
% 0.17/0.59
% 0.17/0.59 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.17/0.59
% 0.17/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.17/0.60 Running up to 7 provers in parallel.
% 0.17/0.62 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.17/0.62 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.17/0.62 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.17/0.62 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.17/0.62 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.17/0.62 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.17/0.62 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.45/1.19 Prover 4: Preprocessing ...
% 3.45/1.19 Prover 1: Preprocessing ...
% 4.08/1.23 Prover 0: Preprocessing ...
% 4.08/1.23 Prover 6: Preprocessing ...
% 4.08/1.23 Prover 3: Preprocessing ...
% 4.08/1.23 Prover 2: Preprocessing ...
% 4.08/1.23 Prover 5: Preprocessing ...
% 10.34/2.11 Prover 1: Constructing countermodel ...
% 11.07/2.17 Prover 3: Constructing countermodel ...
% 11.07/2.19 Prover 6: Proving ...
% 11.68/2.27 Prover 5: Proving ...
% 12.48/2.34 Prover 2: Proving ...
% 13.39/2.47 Prover 4: Constructing countermodel ...
% 13.98/2.61 Prover 0: Proving ...
% 16.12/2.89 Prover 3: gave up
% 16.73/2.90 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 16.73/2.97 Prover 7: Preprocessing ...
% 21.96/3.58 Prover 7: Warning: ignoring some quantifiers
% 22.27/3.63 Prover 7: Constructing countermodel ...
% 29.45/4.56 Prover 1: gave up
% 29.78/4.59 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 30.23/4.68 Prover 8: Preprocessing ...
% 31.61/4.86 Prover 8: Warning: ignoring some quantifiers
% 31.95/4.87 Prover 8: Constructing countermodel ...
% 39.57/5.86 Prover 8: gave up
% 39.81/5.87 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889
% 40.32/5.94 Prover 9: Preprocessing ...
% 43.06/6.32 Prover 9: Constructing countermodel ...
% 61.33/8.65 Prover 2: stopped
% 61.33/8.65 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 61.33/8.71 Prover 10: Preprocessing ...
% 62.56/8.82 Prover 10: Warning: ignoring some quantifiers
% 62.56/8.82 Prover 10: Constructing countermodel ...
% 102.76/13.95 Prover 5: stopped
% 102.91/13.96 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 102.91/14.01 Prover 11: Preprocessing ...
% 104.62/14.27 Prover 11: Constructing countermodel ...
% 132.72/17.86 Prover 6: stopped
% 132.72/17.86 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391
% 132.72/17.90 Prover 12: Preprocessing ...
% 134.03/18.04 Prover 12: Proving ...
% 143.20/19.21 Prover 12: stopped
% 143.20/19.22 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 143.69/19.28 Prover 13: Preprocessing ...
% 144.34/19.39 Prover 13: Warning: ignoring some quantifiers
% 144.34/19.40 Prover 13: Constructing countermodel ...
% 194.52/26.03 Prover 7: stopped
% 194.52/26.04 Prover 14: Options: -triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=414236379
% 194.52/26.08 Prover 14: Preprocessing ...
% 195.18/26.21 Prover 14: Proving ...
% 200.37/26.84 Prover 10: Found proof (size 277)
% 200.37/26.84 Prover 10: proved (18189ms)
% 200.37/26.84 Prover 14: stopped
% 200.37/26.84 Prover 9: stopped
% 200.37/26.84 Prover 13: stopped
% 200.37/26.84 Prover 0: stopped
% 200.37/26.85 Prover 11: stopped
% 200.83/26.86 Prover 4: stopped
% 200.83/26.86
% 200.83/26.86 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 200.83/26.86
% 200.83/26.87 % SZS output start Proof for theBenchmark
% 200.83/26.87 Assumptions after simplification:
% 200.83/26.87 ---------------------------------
% 200.83/26.87
% 200.83/26.88 (axiom_02)
% 200.83/26.90 $i(zero) & ? [v0: $i] : (s(zero) = v0 & $i(v0) & ! [v1: $i] : ! [v2: $i] :
% 200.83/26.90 ( ~ (host(v1) = v2) | ~ $i(v1) | leq(v0, v2)))
% 200.83/26.90
% 200.83/26.90 (axiom_03)
% 200.83/26.90 $i(nbr_proc) & $i(zero) & ? [v0: $i] : (s(zero) = v0 & $i(v0) & leq(v0,
% 200.83/26.90 nbr_proc))
% 200.83/26.90
% 200.83/26.90 (axiom_04)
% 200.83/26.90 $i(nbr_proc) & ! [v0: $i] : ! [v1: $i] : ( ~ (host(v0) = v1) | ~ $i(v0) |
% 200.83/26.90 leq(v1, nbr_proc))
% 200.83/26.90
% 200.83/26.90 (axiom_46)
% 200.83/26.91 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 200.83/26.91 (cons(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ elem(v0, v3) |
% 200.83/26.91 elem(v0, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 200.83/26.91 (cons(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ elem(v0, v2) |
% 200.83/26.91 elem(v0, v3)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (cons(v0, v1)
% 200.83/26.91 = v2) | ~ $i(v1) | ~ $i(v0) | elem(v0, v2))
% 200.83/26.91
% 200.83/26.91 (axiom_61)
% 200.83/26.91 ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ $i(v1) | ~ $i(v0) | ~ leq(v1, v0)
% 200.83/26.91 | ~ leq(v0, v1)) & ? [v0: $i] : ( ~ $i(v0) | leq(v0, v0))
% 200.83/26.91
% 200.83/26.91 (conj)
% 201.11/26.93 $i(down) & $i(ldr) & $i(elid) & $i(status) & $i(alive) & $i(norm) & $i(wait) &
% 201.11/26.93 $i(elec_1) & $i(elec_2) & $i(nbr_proc) & $i(zero) & ? [v0: $i] : ? [v1: $i]
% 201.11/26.93 : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ?
% 201.11/26.93 [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12:
% 201.11/26.93 $i] : ? [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17:
% 201.11/26.93 $i] : ? [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22:
% 201.11/26.93 $i] : ( ~ (v22 = v7) & ~ (v14 = nbr_proc) & index(down, nbr_proc) = v12 &
% 201.11/26.93 index(status, nbr_proc) = elec_1 & cons(v6, v1) = v5 & m_Down(v17) = v20 &
% 201.11/26.93 m_Down(v16) = v21 & m_Down(v4) = v6 & s(zero) = v0 & host(v18) = nbr_proc &
% 201.11/26.93 host(v17) = v19 & host(v16) = nbr_proc & host(v13) = v14 & host(v4) = v7 &
% 201.11/26.93 host(v3) = nbr_proc & queue(v14) = v15 & queue(nbr_proc) = v5 & $i(v22) &
% 201.11/26.93 $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) &
% 201.11/26.93 $i(v14) & $i(v13) & $i(v12) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 201.11/26.93 $i(v2) & $i(v1) & $i(v0) & leq(v0, v22) & setIn(v13, alive) & setIn(v3,
% 201.11/26.93 alive) & elem(v21, v15) & elem(v20, v1) & ~ leq(nbr_proc, v22) & ~
% 201.11/26.93 leq(nbr_proc, v7) & ~ setIn(v22, v12) & ! [v23: $i] : ! [v24: $i] : !
% 201.11/26.93 [v25: $i] : ! [v26: $i] : ! [v27: $i] : ! [v28: $i] : ! [v29: $i] : !
% 201.11/26.93 [v30: $i] : (v28 = v27 | ~ (m_Down(v26) = v29) | ~ (m_Down(v24) = v30) |
% 201.11/26.93 ~ (host(v25) = v27) | ~ (host(v23) = v28) | ~ $i(v26) | ~ $i(v25) | ~
% 201.11/26.93 $i(v24) | ~ $i(v23) | ~ setIn(v25, alive) | ~ setIn(v23, alive) | ?
% 201.11/26.93 [v31: $i] : ? [v32: $i] : ? [v33: $i] : ? [v34: $i] : (( ~ (v32 = v27)
% 201.11/26.93 & host(v26) = v32 & $i(v32)) | ( ~ (v31 = v28) & host(v24) = v31 &
% 201.11/26.93 $i(v31)) | (queue(v28) = v33 & $i(v33) & ~ elem(v29, v33)) |
% 201.11/26.93 (queue(v27) = v34 & $i(v34) & ~ elem(v30, v34)))) & ! [v23: $i] : !
% 201.11/26.93 [v24: $i] : ! [v25: $i] : ! [v26: $i] : ! [v27: $i] : ! [v28: $i] : !
% 201.11/26.93 [v29: $i] : (v28 = v27 | ~ (m_Down(v26) = v29) | ~ (host(v25) = v27) | ~
% 201.11/26.93 (host(v24) = v28) | ~ (host(v23) = v28) | ~ $i(v26) | ~ $i(v25) | ~
% 201.11/26.93 $i(v24) | ~ $i(v23) | ~ setIn(v25, alive) | ~ setIn(v23, alive) | ?
% 201.11/26.93 [v30: $i] : ? [v31: $i] : ? [v32: $i] : (( ~ (v30 = v27) & host(v26) =
% 201.11/26.93 v30 & $i(v30)) | (index(down, v27) = v32 & $i(v32) & ~ setIn(v28,
% 201.11/26.93 v32)) | (queue(v28) = v31 & $i(v31) & ~ elem(v29, v31)))) & !
% 201.11/26.93 [v23: $i] : ! [v24: $i] : ! [v25: $i] : ! [v26: $i] : ! [v27: $i] : !
% 201.11/26.93 [v28: $i] : ! [v29: $i] : ( ~ (m_Down(v25) = v27) | ~ (m_Down(v24) = v28)
% 201.11/26.93 | ~ (host(v26) = nbr_proc) | ~ (host(v23) = v29) | ~ $i(v26) | ~
% 201.11/26.93 $i(v25) | ~ $i(v24) | ~ $i(v23) | ~ setIn(v23, alive) | ? [v30: $i] :
% 201.11/26.93 ? [v31: $i] : ? [v32: $i] : ? [v33: $i] : ? [v34: $i] : ? [v35: $i] :
% 201.11/26.93 ($i(v35) & ((v32 = v5 & ~ elem(v27, v5)) | (v30 = v12 & ~ (v35 = v31) &
% 201.11/26.93 host(v25) = v31 & $i(v31) & leq(v0, v35) & ~ leq(nbr_proc, v35) &
% 201.11/26.93 ~ setIn(v35, v12)) | ( ~ (v33 = nbr_proc) & host(v24) = v33 &
% 201.11/26.93 $i(v33)) | (queue(v29) = v34 & $i(v34) & ~ elem(v28, v34))))) & !
% 201.11/26.93 [v23: $i] : ! [v24: $i] : ! [v25: $i] : ! [v26: $i] : ! [v27: $i] : !
% 201.11/26.93 [v28: $i] : (v27 = v26 | ~ (m_Down(v23) = v28) | ~ (host(v25) = v26) | ~
% 201.11/26.93 (host(v24) = v27) | ~ $i(v25) | ~ $i(v24) | ~ $i(v23) | ~ setIn(v25,
% 201.11/26.93 alive) | ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : ?
% 201.11/26.93 [v33: $i] : (( ~ (v32 = v27) & index(elid, v26) = v31 & host(v31) = v32 &
% 201.11/26.93 $i(v32) & $i(v31)) | ( ~ (v30 = wait) & index(status, v26) = v30 &
% 201.11/26.93 $i(v30)) | ( ~ (v29 = v26) & host(v23) = v29 & $i(v29)) | (queue(v27)
% 201.11/26.93 = v33 & $i(v33) & ~ elem(v28, v33)))) & ! [v23: $i] : ! [v24: $i] :
% 201.11/26.93 ! [v25: $i] : ! [v26: $i] : ! [v27: $i] : ! [v28: $i] : (v27 = v26 | ~
% 201.11/26.93 (m_Down(v23) = v28) | ~ (host(v25) = v26) | ~ (host(v24) = v27) | ~
% 201.11/26.93 $i(v25) | ~ $i(v24) | ~ $i(v23) | ~ setIn(v25, alive) | ? [v29: $i] :
% 201.11/26.93 ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : (( ~ (v31 = v27) & index(ldr,
% 201.11/26.93 v26) = v31 & $i(v31)) | ( ~ (v30 = norm) & index(status, v26) = v30
% 201.11/26.93 & $i(v30)) | ( ~ (v29 = v26) & host(v23) = v29 & $i(v29)) |
% 201.11/26.93 (queue(v27) = v32 & $i(v32) & ~ elem(v28, v32)))) & ! [v23: $i] : !
% 201.11/26.93 [v24: $i] : ! [v25: $i] : ! [v26: $i] : ( ~ (m_Ldr(v24) = v25) | ~
% 201.11/26.93 (host(v23) = v26) | ~ $i(v24) | ~ $i(v23) | ? [v27: $i] : ? [v28: $i]
% 201.11/26.93 : ((host(v24) = v28 & $i(v28) & ~ leq(v26, v28)) | (queue(v26) = v27 &
% 201.11/26.93 $i(v27) & ~ elem(v25, v27)))) & ! [v23: $i] : ! [v24: $i] : !
% 201.11/26.93 [v25: $i] : ! [v26: $i] : ( ~ (m_Down(v24) = v25) | ~ (host(v23) = v26) |
% 201.11/26.93 ~ $i(v24) | ~ $i(v23) | ? [v27: $i] : ? [v28: $i] : (( ~ (v28 = v26) &
% 201.11/26.93 host(v24) = v28 & $i(v28)) | (queue(v26) = v27 & $i(v27) & ~
% 201.11/26.93 elem(v25, v27)))) & ! [v23: $i] : ! [v24: $i] : ! [v25: $i] : (v24
% 201.11/26.93 = v23 | ~ (host(v24) = v25) | ~ (host(v23) = v25) | ~ $i(v24) | ~
% 201.11/26.93 $i(v23) | ~ setIn(v24, alive) | ~ setIn(v23, alive)) & ! [v23: $i] : !
% 201.11/26.93 [v24: $i] : ! [v25: $i] : ( ~ (m_NotNorm(v23) = v25) | ~ (host(v24) =
% 201.11/26.93 nbr_proc) | ~ $i(v24) | ~ $i(v23) | ~ elem(v25, v5)) & ! [v23: $i] :
% 201.11/26.93 ! [v24: $i] : ( ~ (host(v23) = v24) | ~ $i(v23) | ~ setIn(v23, alive) |
% 201.11/26.93 ? [v25: $i] : ? [v26: $i] : ((v26 = v23 & index(elid, v24) = v23) | ( ~
% 201.11/26.93 (v25 = elec_1) & ~ (v25 = elec_2) & index(status, v24) = v25 &
% 201.11/26.93 $i(v25)))) & ! [v23: $i] : (v23 = v19 | v23 = v7 | ~ $i(v23) | ~
% 201.11/26.93 leq(v0, v23) | leq(nbr_proc, v23) | setIn(v23, v12)) & ((v9 = elec_1 & ~
% 201.11/26.93 (norm = elec_1)) | ( ~ (v8 = v7) & index(ldr, nbr_proc) = v8 & $i(v8)))
% 201.11/26.93 & ((v9 = elec_1 & ~ (wait = elec_1)) | ( ~ (v11 = v7) & index(elid,
% 201.11/26.93 nbr_proc) = v10 & host(v10) = v11 & $i(v11) & $i(v10))))
% 201.11/26.93
% 201.11/26.93 (function-axioms)
% 201.11/26.94 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 201.11/26.94 (index(v3, v2) = v1) | ~ (index(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 201.11/26.94 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (snoc(v3, v2) = v1) | ~ (snoc(v3,
% 201.11/26.94 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1
% 201.11/26.94 = v0 | ~ (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0)) & ! [v0: $i] : !
% 201.11/26.94 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (m_Ack(v3, v2) = v1) | ~
% 201.11/26.94 (m_Ack(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 |
% 201.11/26.94 ~ (pidMsg(v2) = v1) | ~ (pidMsg(v2) = v0)) & ! [v0: $i] : ! [v1: $i] :
% 201.11/26.94 ! [v2: $i] : (v1 = v0 | ~ (init(v2) = v1) | ~ (init(v2) = v0)) & ! [v0: $i]
% 201.11/26.94 : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (last(v2) = v1) | ~ (last(v2) =
% 201.11/26.94 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (tail(v2) =
% 201.11/26.94 v1) | ~ (tail(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1
% 201.11/26.94 = v0 | ~ (head(v2) = v1) | ~ (head(v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 201.11/26.94 : ! [v2: $i] : (v1 = v0 | ~ (m_NormQ(v2) = v1) | ~ (m_NormQ(v2) = v0)) & !
% 201.11/26.94 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (m_Ldr(v2) = v1) | ~
% 201.11/26.94 (m_Ldr(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 201.11/26.94 (m_NotNorm(v2) = v1) | ~ (m_NotNorm(v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 201.11/26.94 : ! [v2: $i] : (v1 = v0 | ~ (m_Down(v2) = v1) | ~ (m_Down(v2) = v0)) & !
% 201.11/26.94 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (m_Halt(v2) = v1) | ~
% 201.11/26.94 (m_Halt(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 201.11/26.94 (s(v2) = v1) | ~ (s(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 201.11/26.94 (v1 = v0 | ~ (host(v2) = v1) | ~ (host(v2) = v0)) & ! [v0: $i] : ! [v1:
% 201.11/26.94 $i] : ! [v2: $i] : (v1 = v0 | ~ (queue(v2) = v1) | ~ (queue(v2) = v0))
% 201.11/26.94
% 201.11/26.94 Further assumptions not needed in the proof:
% 201.11/26.94 --------------------------------------------
% 201.11/26.94 axiom, axiom_01, axiom_05, axiom_06, axiom_07, axiom_08, axiom_09, axiom_10,
% 201.11/26.94 axiom_11, axiom_12, axiom_13, axiom_14, axiom_15, axiom_16, axiom_17, axiom_18,
% 201.11/26.94 axiom_19, axiom_20, axiom_21, axiom_22, axiom_23, axiom_24, axiom_25, axiom_26,
% 201.11/26.94 axiom_27, axiom_28, axiom_29, axiom_30, axiom_31, axiom_32, axiom_33, axiom_34,
% 201.11/26.94 axiom_35, axiom_36, axiom_37, axiom_38, axiom_39, axiom_40, axiom_41, axiom_42,
% 201.11/26.94 axiom_43, axiom_44, axiom_45, axiom_47, axiom_48, axiom_49, axiom_50, axiom_51,
% 201.11/26.94 axiom_52, axiom_53, axiom_54, axiom_55, axiom_56, axiom_57, axiom_58, axiom_59,
% 201.11/26.94 axiom_60, axiom_62, axiom_63, axiom_64, axiom_65
% 201.11/26.94
% 201.11/26.94 Those formulas are unsatisfiable:
% 201.11/26.94 ---------------------------------
% 201.11/26.94
% 201.11/26.94 Begin of proof
% 201.11/26.94 |
% 201.11/26.94 | ALPHA: (axiom_02) implies:
% 201.11/26.94 | (1) ? [v0: $i] : (s(zero) = v0 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~
% 201.11/26.94 | (host(v1) = v2) | ~ $i(v1) | leq(v0, v2)))
% 201.11/26.94 |
% 201.11/26.94 | ALPHA: (axiom_03) implies:
% 201.11/26.94 | (2) ? [v0: $i] : (s(zero) = v0 & $i(v0) & leq(v0, nbr_proc))
% 201.11/26.94 |
% 201.11/26.94 | ALPHA: (axiom_04) implies:
% 201.11/26.94 | (3) ! [v0: $i] : ! [v1: $i] : ( ~ (host(v0) = v1) | ~ $i(v0) | leq(v1,
% 201.11/26.94 | nbr_proc))
% 201.11/26.94 |
% 201.11/26.94 | ALPHA: (axiom_46) implies:
% 201.11/26.94 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (cons(v0, v1) = v2) | ~
% 201.11/26.94 | $i(v1) | ~ $i(v0) | elem(v0, v2))
% 201.11/26.94 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (cons(v1,
% 201.11/26.94 | v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ elem(v0, v2) |
% 201.11/26.94 | elem(v0, v3))
% 201.11/26.94 |
% 201.11/26.94 | ALPHA: (axiom_61) implies:
% 201.11/26.94 | (6) ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ $i(v1) | ~ $i(v0) | ~
% 201.11/26.94 | leq(v1, v0) | ~ leq(v0, v1))
% 201.11/26.94 |
% 201.11/26.94 | ALPHA: (conj) implies:
% 201.11/26.95 | (7) $i(nbr_proc)
% 201.34/26.96 | (8) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 201.34/26.96 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 201.34/26.96 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 201.34/26.96 | ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19:
% 201.34/26.96 | $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ( ~ (v22 = v7) &
% 201.34/26.96 | ~ (v14 = nbr_proc) & index(down, nbr_proc) = v12 & index(status,
% 201.34/26.96 | nbr_proc) = elec_1 & cons(v6, v1) = v5 & m_Down(v17) = v20 &
% 201.34/26.96 | m_Down(v16) = v21 & m_Down(v4) = v6 & s(zero) = v0 & host(v18) =
% 201.34/26.96 | nbr_proc & host(v17) = v19 & host(v16) = nbr_proc & host(v13) = v14 &
% 201.34/26.96 | host(v4) = v7 & host(v3) = nbr_proc & queue(v14) = v15 &
% 201.34/26.96 | queue(nbr_proc) = v5 & $i(v22) & $i(v21) & $i(v20) & $i(v19) &
% 201.34/26.96 | $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 201.34/26.96 | $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)
% 201.34/26.96 | & leq(v0, v22) & setIn(v13, alive) & setIn(v3, alive) & elem(v21,
% 201.34/26.96 | v15) & elem(v20, v1) & ~ leq(nbr_proc, v22) & ~ leq(nbr_proc, v7)
% 201.34/26.96 | & ~ setIn(v22, v12) & ! [v23: $i] : ! [v24: $i] : ! [v25: $i] :
% 201.34/26.96 | ! [v26: $i] : ! [v27: $i] : ! [v28: $i] : ! [v29: $i] : ! [v30:
% 201.34/26.96 | $i] : (v28 = v27 | ~ (m_Down(v26) = v29) | ~ (m_Down(v24) = v30)
% 201.34/26.96 | | ~ (host(v25) = v27) | ~ (host(v23) = v28) | ~ $i(v26) | ~
% 201.34/26.96 | $i(v25) | ~ $i(v24) | ~ $i(v23) | ~ setIn(v25, alive) | ~
% 201.34/26.96 | setIn(v23, alive) | ? [v31: $i] : ? [v32: $i] : ? [v33: $i] : ?
% 201.34/26.96 | [v34: $i] : (( ~ (v32 = v27) & host(v26) = v32 & $i(v32)) | ( ~
% 201.34/26.96 | (v31 = v28) & host(v24) = v31 & $i(v31)) | (queue(v28) = v33 &
% 201.34/26.96 | $i(v33) & ~ elem(v29, v33)) | (queue(v27) = v34 & $i(v34) & ~
% 201.34/26.96 | elem(v30, v34)))) & ! [v23: $i] : ! [v24: $i] : ! [v25: $i]
% 201.34/26.96 | : ! [v26: $i] : ! [v27: $i] : ! [v28: $i] : ! [v29: $i] : (v28 =
% 201.34/26.96 | v27 | ~ (m_Down(v26) = v29) | ~ (host(v25) = v27) | ~ (host(v24)
% 201.34/26.96 | = v28) | ~ (host(v23) = v28) | ~ $i(v26) | ~ $i(v25) | ~
% 201.34/26.96 | $i(v24) | ~ $i(v23) | ~ setIn(v25, alive) | ~ setIn(v23, alive)
% 201.34/26.96 | | ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : (( ~ (v30 = v27) &
% 201.34/26.96 | host(v26) = v30 & $i(v30)) | (index(down, v27) = v32 & $i(v32)
% 201.34/26.96 | & ~ setIn(v28, v32)) | (queue(v28) = v31 & $i(v31) & ~
% 201.34/26.96 | elem(v29, v31)))) & ! [v23: $i] : ! [v24: $i] : ! [v25: $i]
% 201.34/26.96 | : ! [v26: $i] : ! [v27: $i] : ! [v28: $i] : ! [v29: $i] : ( ~
% 201.34/26.96 | (m_Down(v25) = v27) | ~ (m_Down(v24) = v28) | ~ (host(v26) =
% 201.34/26.96 | nbr_proc) | ~ (host(v23) = v29) | ~ $i(v26) | ~ $i(v25) | ~
% 201.34/26.96 | $i(v24) | ~ $i(v23) | ~ setIn(v23, alive) | ? [v30: $i] : ?
% 201.34/26.96 | [v31: $i] : ? [v32: $i] : ? [v33: $i] : ? [v34: $i] : ? [v35:
% 201.34/26.96 | $i] : ($i(v35) & ((v32 = v5 & ~ elem(v27, v5)) | (v30 = v12 & ~
% 201.34/26.96 | (v35 = v31) & host(v25) = v31 & $i(v31) & leq(v0, v35) & ~
% 201.34/26.96 | leq(nbr_proc, v35) & ~ setIn(v35, v12)) | ( ~ (v33 =
% 201.34/26.96 | nbr_proc) & host(v24) = v33 & $i(v33)) | (queue(v29) = v34
% 201.34/26.96 | & $i(v34) & ~ elem(v28, v34))))) & ! [v23: $i] : ! [v24:
% 201.34/26.96 | $i] : ! [v25: $i] : ! [v26: $i] : ! [v27: $i] : ! [v28: $i] :
% 201.34/26.96 | (v27 = v26 | ~ (m_Down(v23) = v28) | ~ (host(v25) = v26) | ~
% 201.34/26.96 | (host(v24) = v27) | ~ $i(v25) | ~ $i(v24) | ~ $i(v23) | ~
% 201.34/26.96 | setIn(v25, alive) | ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ?
% 201.34/26.96 | [v32: $i] : ? [v33: $i] : (( ~ (v32 = v27) & index(elid, v26) =
% 201.34/26.96 | v31 & host(v31) = v32 & $i(v32) & $i(v31)) | ( ~ (v30 = wait) &
% 201.34/26.96 | index(status, v26) = v30 & $i(v30)) | ( ~ (v29 = v26) &
% 201.34/26.96 | host(v23) = v29 & $i(v29)) | (queue(v27) = v33 & $i(v33) & ~
% 201.34/26.96 | elem(v28, v33)))) & ! [v23: $i] : ! [v24: $i] : ! [v25: $i]
% 201.34/26.96 | : ! [v26: $i] : ! [v27: $i] : ! [v28: $i] : (v27 = v26 | ~
% 201.34/26.96 | (m_Down(v23) = v28) | ~ (host(v25) = v26) | ~ (host(v24) = v27) |
% 201.34/26.96 | ~ $i(v25) | ~ $i(v24) | ~ $i(v23) | ~ setIn(v25, alive) | ?
% 201.34/26.96 | [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : (( ~ (v31
% 201.34/26.96 | = v27) & index(ldr, v26) = v31 & $i(v31)) | ( ~ (v30 = norm)
% 201.34/26.96 | & index(status, v26) = v30 & $i(v30)) | ( ~ (v29 = v26) &
% 201.34/26.96 | host(v23) = v29 & $i(v29)) | (queue(v27) = v32 & $i(v32) & ~
% 201.34/26.96 | elem(v28, v32)))) & ! [v23: $i] : ! [v24: $i] : ! [v25: $i]
% 201.34/26.96 | : ! [v26: $i] : ( ~ (m_Ldr(v24) = v25) | ~ (host(v23) = v26) | ~
% 201.34/26.96 | $i(v24) | ~ $i(v23) | ? [v27: $i] : ? [v28: $i] : ((host(v24) =
% 201.34/26.96 | v28 & $i(v28) & ~ leq(v26, v28)) | (queue(v26) = v27 & $i(v27)
% 201.34/26.96 | & ~ elem(v25, v27)))) & ! [v23: $i] : ! [v24: $i] : ! [v25:
% 201.34/26.96 | $i] : ! [v26: $i] : ( ~ (m_Down(v24) = v25) | ~ (host(v23) = v26)
% 201.34/26.96 | | ~ $i(v24) | ~ $i(v23) | ? [v27: $i] : ? [v28: $i] : (( ~ (v28
% 201.34/26.96 | = v26) & host(v24) = v28 & $i(v28)) | (queue(v26) = v27 &
% 201.34/26.96 | $i(v27) & ~ elem(v25, v27)))) & ! [v23: $i] : ! [v24: $i] :
% 201.34/26.96 | ! [v25: $i] : (v24 = v23 | ~ (host(v24) = v25) | ~ (host(v23) =
% 201.34/26.96 | v25) | ~ $i(v24) | ~ $i(v23) | ~ setIn(v24, alive) | ~
% 201.34/26.96 | setIn(v23, alive)) & ! [v23: $i] : ! [v24: $i] : ! [v25: $i] : (
% 201.34/26.96 | ~ (m_NotNorm(v23) = v25) | ~ (host(v24) = nbr_proc) | ~ $i(v24) |
% 201.34/26.96 | ~ $i(v23) | ~ elem(v25, v5)) & ! [v23: $i] : ! [v24: $i] : ( ~
% 201.34/26.96 | (host(v23) = v24) | ~ $i(v23) | ~ setIn(v23, alive) | ? [v25:
% 201.34/26.96 | $i] : ? [v26: $i] : ((v26 = v23 & index(elid, v24) = v23) | ( ~
% 201.34/26.96 | (v25 = elec_1) & ~ (v25 = elec_2) & index(status, v24) = v25 &
% 201.34/26.96 | $i(v25)))) & ! [v23: $i] : (v23 = v19 | v23 = v7 | ~ $i(v23)
% 201.34/26.96 | | ~ leq(v0, v23) | leq(nbr_proc, v23) | setIn(v23, v12)) & ((v9 =
% 201.34/26.96 | elec_1 & ~ (norm = elec_1)) | ( ~ (v8 = v7) & index(ldr,
% 201.34/26.96 | nbr_proc) = v8 & $i(v8))) & ((v9 = elec_1 & ~ (wait = elec_1))
% 201.34/26.96 | | ( ~ (v11 = v7) & index(elid, nbr_proc) = v10 & host(v10) = v11 &
% 201.34/26.96 | $i(v11) & $i(v10))))
% 201.34/26.96 |
% 201.34/26.96 | ALPHA: (function-axioms) implies:
% 201.34/26.96 | (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (queue(v2) =
% 201.34/26.96 | v1) | ~ (queue(v2) = v0))
% 201.34/26.96 | (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (host(v2) =
% 201.34/26.96 | v1) | ~ (host(v2) = v0))
% 201.34/26.96 | (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (s(v2) = v1) |
% 201.34/26.96 | ~ (s(v2) = v0))
% 201.34/26.97 | (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 201.34/26.97 | (index(v3, v2) = v1) | ~ (index(v3, v2) = v0))
% 201.34/26.97 |
% 201.34/26.97 | DELTA: instantiating (2) with fresh symbol all_59_0 gives:
% 201.34/26.97 | (13) s(zero) = all_59_0 & $i(all_59_0) & leq(all_59_0, nbr_proc)
% 201.34/26.97 |
% 201.34/26.97 | ALPHA: (13) implies:
% 201.34/26.97 | (14) s(zero) = all_59_0
% 201.34/26.97 |
% 201.34/26.97 | DELTA: instantiating (1) with fresh symbol all_62_0 gives:
% 201.34/26.97 | (15) s(zero) = all_62_0 & $i(all_62_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 201.34/26.97 | (host(v0) = v1) | ~ $i(v0) | leq(all_62_0, v1))
% 201.34/26.97 |
% 201.34/26.97 | ALPHA: (15) implies:
% 201.34/26.97 | (16) s(zero) = all_62_0
% 201.34/26.97 | (17) ! [v0: $i] : ! [v1: $i] : ( ~ (host(v0) = v1) | ~ $i(v0) |
% 201.34/26.97 | leq(all_62_0, v1))
% 201.34/26.97 |
% 201.34/26.97 | DELTA: instantiating (8) with fresh symbols all_65_0, all_65_1, all_65_2,
% 201.34/26.97 | all_65_3, all_65_4, all_65_5, all_65_6, all_65_7, all_65_8, all_65_9,
% 201.34/26.97 | all_65_10, all_65_11, all_65_12, all_65_13, all_65_14, all_65_15,
% 201.34/26.97 | all_65_16, all_65_17, all_65_18, all_65_19, all_65_20, all_65_21,
% 201.34/26.97 | all_65_22 gives:
% 201.34/26.98 | (18) ~ (all_65_0 = all_65_15) & ~ (all_65_8 = nbr_proc) & index(down,
% 201.34/26.98 | nbr_proc) = all_65_10 & index(status, nbr_proc) = elec_1 &
% 201.34/26.98 | cons(all_65_16, all_65_21) = all_65_17 & m_Down(all_65_5) = all_65_2 &
% 201.34/26.98 | m_Down(all_65_6) = all_65_1 & m_Down(all_65_18) = all_65_16 & s(zero)
% 201.34/26.98 | = all_65_22 & host(all_65_4) = nbr_proc & host(all_65_5) = all_65_3 &
% 201.34/26.98 | host(all_65_6) = nbr_proc & host(all_65_9) = all_65_8 &
% 201.34/26.98 | host(all_65_18) = all_65_15 & host(all_65_19) = nbr_proc &
% 201.34/26.98 | queue(all_65_8) = all_65_7 & queue(nbr_proc) = all_65_17 &
% 201.34/26.98 | $i(all_65_0) & $i(all_65_1) & $i(all_65_2) & $i(all_65_3) &
% 201.34/26.98 | $i(all_65_4) & $i(all_65_5) & $i(all_65_6) & $i(all_65_7) &
% 201.34/26.98 | $i(all_65_8) & $i(all_65_9) & $i(all_65_10) & $i(all_65_15) &
% 201.34/26.98 | $i(all_65_16) & $i(all_65_17) & $i(all_65_18) & $i(all_65_19) &
% 201.34/26.98 | $i(all_65_20) & $i(all_65_21) & $i(all_65_22) & leq(all_65_22,
% 201.34/26.98 | all_65_0) & setIn(all_65_9, alive) & setIn(all_65_19, alive) &
% 201.34/26.98 | elem(all_65_1, all_65_7) & elem(all_65_2, all_65_21) & ~
% 201.34/26.98 | leq(nbr_proc, all_65_0) & ~ leq(nbr_proc, all_65_15) & ~
% 201.34/26.98 | setIn(all_65_0, all_65_10) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 201.34/26.98 | ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] :
% 201.34/26.98 | (v5 = v4 | ~ (m_Down(v3) = v6) | ~ (m_Down(v1) = v7) | ~ (host(v2)
% 201.34/26.98 | = v4) | ~ (host(v0) = v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) |
% 201.34/26.98 | ~ $i(v0) | ~ setIn(v2, alive) | ~ setIn(v0, alive) | ? [v8: $i] :
% 201.34/26.98 | ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : (( ~ (v9 = v4) &
% 201.34/26.98 | host(v3) = v9 & $i(v9)) | ( ~ (v8 = v5) & host(v1) = v8 &
% 201.34/26.98 | $i(v8)) | (queue(v5) = v10 & $i(v10) & ~ elem(v6, v10)) |
% 201.34/26.98 | (queue(v4) = v11 & $i(v11) & ~ elem(v7, v11)))) & ! [v0: $i] :
% 201.34/26.98 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] :
% 201.34/26.98 | ! [v6: $i] : (v5 = v4 | ~ (m_Down(v3) = v6) | ~ (host(v2) = v4) | ~
% 201.34/26.98 | (host(v1) = v5) | ~ (host(v0) = v5) | ~ $i(v3) | ~ $i(v2) | ~
% 201.34/26.98 | $i(v1) | ~ $i(v0) | ~ setIn(v2, alive) | ~ setIn(v0, alive) | ?
% 201.34/26.98 | [v7: $i] : ? [v8: $i] : ? [v9: $i] : (( ~ (v7 = v4) & host(v3) =
% 201.34/26.98 | v7 & $i(v7)) | (index(down, v4) = v9 & $i(v9) & ~ setIn(v5,
% 201.34/26.98 | v9)) | (queue(v5) = v8 & $i(v8) & ~ elem(v6, v8)))) & ! [v0:
% 201.34/26.98 | $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 201.34/26.98 | [v5: $i] : ! [v6: $i] : ( ~ (m_Down(v2) = v4) | ~ (m_Down(v1) = v5)
% 201.34/26.98 | | ~ (host(v3) = nbr_proc) | ~ (host(v0) = v6) | ~ $i(v3) | ~
% 201.34/26.98 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v0, alive) | ? [v7: int]
% 201.34/26.98 | : ? [v8: $i] : ? [v9: int] : ? [v10: $i] : ? [v11: $i] : ?
% 201.34/26.98 | [v12: $i] : ($i(v12) & ((v9 = all_65_17 & ~ elem(v4, all_65_17)) |
% 201.34/26.98 | (v7 = all_65_10 & ~ (v12 = v8) & host(v2) = v8 & $i(v8) &
% 201.34/26.98 | leq(all_65_22, v12) & ~ leq(nbr_proc, v12) & ~ setIn(v12,
% 201.34/26.98 | all_65_10)) | ( ~ (v10 = nbr_proc) & host(v1) = v10 &
% 201.34/26.98 | $i(v10)) | (queue(v6) = v11 & $i(v11) & ~ elem(v5, v11))))) &
% 201.34/26.98 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 201.34/26.98 | ! [v5: $i] : (v4 = v3 | ~ (m_Down(v0) = v5) | ~ (host(v2) = v3) | ~
% 201.34/26.98 | (host(v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v2,
% 201.34/26.98 | alive) | ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 201.34/26.98 | ? [v10: $i] : (( ~ (v9 = v4) & index(elid, v3) = v8 & host(v8) = v9
% 201.34/26.98 | & $i(v9) & $i(v8)) | ( ~ (v7 = wait) & index(status, v3) = v7 &
% 201.34/26.98 | $i(v7)) | ( ~ (v6 = v3) & host(v0) = v6 & $i(v6)) | (queue(v4) =
% 201.34/26.98 | v10 & $i(v10) & ~ elem(v5, v10)))) & ! [v0: $i] : ! [v1: $i]
% 201.34/26.98 | : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v4 = v3 |
% 201.34/26.98 | ~ (m_Down(v0) = v5) | ~ (host(v2) = v3) | ~ (host(v1) = v4) | ~
% 201.34/26.98 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v2, alive) | ? [v6: $i] :
% 201.34/26.98 | ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : (( ~ (v8 = v4) &
% 201.34/26.98 | index(ldr, v3) = v8 & $i(v8)) | ( ~ (v7 = norm) & index(status,
% 201.34/26.98 | v3) = v7 & $i(v7)) | ( ~ (v6 = v3) & host(v0) = v6 & $i(v6)) |
% 201.34/26.98 | (queue(v4) = v9 & $i(v9) & ~ elem(v5, v9)))) & ! [v0: $i] : !
% 201.34/26.98 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (m_Ldr(v1) = v2) | ~
% 201.34/26.98 | (host(v0) = v3) | ~ $i(v1) | ~ $i(v0) | ? [v4: $i] : ? [v5: $i]
% 201.34/26.98 | : ((host(v1) = v5 & $i(v5) & ~ leq(v3, v5)) | (queue(v3) = v4 &
% 201.34/26.98 | $i(v4) & ~ elem(v2, v4)))) & ! [v0: $i] : ! [v1: $i] : !
% 201.34/26.98 | [v2: $i] : ! [v3: $i] : ( ~ (m_Down(v1) = v2) | ~ (host(v0) = v3) |
% 201.34/26.98 | ~ $i(v1) | ~ $i(v0) | ? [v4: $i] : ? [v5: $i] : (( ~ (v5 = v3) &
% 201.34/26.98 | host(v1) = v5 & $i(v5)) | (queue(v3) = v4 & $i(v4) & ~ elem(v2,
% 201.34/26.98 | v4)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 |
% 201.34/26.98 | ~ (host(v1) = v2) | ~ (host(v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 201.34/26.98 | setIn(v1, alive) | ~ setIn(v0, alive)) & ! [v0: $i] : ! [v1: $i]
% 201.34/26.98 | : ! [v2: $i] : ( ~ (m_NotNorm(v0) = v2) | ~ (host(v1) = nbr_proc) |
% 201.34/26.98 | ~ $i(v1) | ~ $i(v0) | ~ elem(v2, all_65_17)) & ! [v0: $i] : !
% 201.34/26.98 | [v1: $i] : ( ~ (host(v0) = v1) | ~ $i(v0) | ~ setIn(v0, alive) | ?
% 201.34/26.99 | [v2: $i] : ? [v3: $i] : ((v3 = v0 & index(elid, v1) = v0) | ( ~ (v2
% 201.34/26.99 | = elec_1) & ~ (v2 = elec_2) & index(status, v1) = v2 &
% 201.34/26.99 | $i(v2)))) & ! [v0: any] : (v0 = all_65_3 | v0 = all_65_15 | ~
% 201.34/26.99 | $i(v0) | ~ leq(all_65_22, v0) | leq(nbr_proc, v0) | setIn(v0,
% 201.34/26.99 | all_65_10)) & ((all_65_13 = elec_1 & ~ (norm = elec_1)) | ( ~
% 201.34/26.99 | (all_65_14 = all_65_15) & index(ldr, nbr_proc) = all_65_14 &
% 201.34/26.99 | $i(all_65_14))) & ((all_65_13 = elec_1 & ~ (wait = elec_1)) | ( ~
% 201.34/26.99 | (all_65_11 = all_65_15) & index(elid, nbr_proc) = all_65_12 &
% 201.34/26.99 | host(all_65_12) = all_65_11 & $i(all_65_11) & $i(all_65_12)))
% 201.34/26.99 |
% 201.34/26.99 | ALPHA: (18) implies:
% 201.34/26.99 | (19) ~ (all_65_8 = nbr_proc)
% 201.34/26.99 | (20) elem(all_65_2, all_65_21)
% 201.34/26.99 | (21) elem(all_65_1, all_65_7)
% 201.34/26.99 | (22) setIn(all_65_19, alive)
% 201.34/26.99 | (23) setIn(all_65_9, alive)
% 201.34/26.99 | (24) $i(all_65_21)
% 201.34/26.99 | (25) $i(all_65_19)
% 201.34/26.99 | (26) $i(all_65_18)
% 201.34/26.99 | (27) $i(all_65_16)
% 201.34/26.99 | (28) $i(all_65_9)
% 201.34/26.99 | (29) $i(all_65_8)
% 201.34/26.99 | (30) $i(all_65_6)
% 201.34/26.99 | (31) $i(all_65_5)
% 201.34/26.99 | (32) $i(all_65_2)
% 201.34/26.99 | (33) queue(nbr_proc) = all_65_17
% 201.34/26.99 | (34) queue(all_65_8) = all_65_7
% 201.34/26.99 | (35) host(all_65_19) = nbr_proc
% 201.34/26.99 | (36) host(all_65_18) = all_65_15
% 201.34/26.99 | (37) host(all_65_9) = all_65_8
% 201.34/26.99 | (38) host(all_65_6) = nbr_proc
% 201.34/26.99 | (39) host(all_65_5) = all_65_3
% 201.34/26.99 | (40) s(zero) = all_65_22
% 201.34/26.99 | (41) m_Down(all_65_18) = all_65_16
% 201.34/26.99 | (42) m_Down(all_65_6) = all_65_1
% 201.34/26.99 | (43) m_Down(all_65_5) = all_65_2
% 201.34/26.99 | (44) cons(all_65_16, all_65_21) = all_65_17
% 201.34/26.99 | (45) index(down, nbr_proc) = all_65_10
% 201.34/26.99 | (46) ! [v0: any] : (v0 = all_65_3 | v0 = all_65_15 | ~ $i(v0) | ~
% 201.34/26.99 | leq(all_65_22, v0) | leq(nbr_proc, v0) | setIn(v0, all_65_10))
% 201.34/26.99 | (47) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 201.34/26.99 | (m_Down(v1) = v2) | ~ (host(v0) = v3) | ~ $i(v1) | ~ $i(v0) | ?
% 201.34/26.99 | [v4: $i] : ? [v5: $i] : (( ~ (v5 = v3) & host(v1) = v5 & $i(v5)) |
% 201.34/26.99 | (queue(v3) = v4 & $i(v4) & ~ elem(v2, v4))))
% 201.34/26.99 | (48) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 201.34/27.00 | ! [v5: $i] : (v4 = v3 | ~ (m_Down(v0) = v5) | ~ (host(v2) = v3) | ~
% 201.34/27.00 | (host(v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v2,
% 201.34/27.00 | alive) | ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 201.34/27.00 | (( ~ (v8 = v4) & index(ldr, v3) = v8 & $i(v8)) | ( ~ (v7 = norm) &
% 201.34/27.00 | index(status, v3) = v7 & $i(v7)) | ( ~ (v6 = v3) & host(v0) = v6
% 201.34/27.00 | & $i(v6)) | (queue(v4) = v9 & $i(v9) & ~ elem(v5, v9))))
% 201.34/27.00 | (49) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 201.34/27.00 | ! [v5: $i] : ! [v6: $i] : ( ~ (m_Down(v2) = v4) | ~ (m_Down(v1) =
% 201.34/27.00 | v5) | ~ (host(v3) = nbr_proc) | ~ (host(v0) = v6) | ~ $i(v3) |
% 201.34/27.00 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v0, alive) | ? [v7:
% 201.34/27.00 | int] : ? [v8: $i] : ? [v9: int] : ? [v10: $i] : ? [v11: $i] :
% 201.34/27.00 | ? [v12: $i] : ($i(v12) & ((v9 = all_65_17 & ~ elem(v4, all_65_17))
% 201.34/27.00 | | (v7 = all_65_10 & ~ (v12 = v8) & host(v2) = v8 & $i(v8) &
% 201.34/27.00 | leq(all_65_22, v12) & ~ leq(nbr_proc, v12) & ~ setIn(v12,
% 201.34/27.00 | all_65_10)) | ( ~ (v10 = nbr_proc) & host(v1) = v10 &
% 201.34/27.00 | $i(v10)) | (queue(v6) = v11 & $i(v11) & ~ elem(v5, v11)))))
% 201.34/27.00 | (50) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 201.34/27.00 | ! [v5: $i] : ! [v6: $i] : (v5 = v4 | ~ (m_Down(v3) = v6) | ~
% 201.34/27.00 | (host(v2) = v4) | ~ (host(v1) = v5) | ~ (host(v0) = v5) | ~
% 201.34/27.00 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v2, alive) |
% 201.34/27.00 | ~ setIn(v0, alive) | ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : (( ~
% 201.34/27.00 | (v7 = v4) & host(v3) = v7 & $i(v7)) | (index(down, v4) = v9 &
% 201.34/27.00 | $i(v9) & ~ setIn(v5, v9)) | (queue(v5) = v8 & $i(v8) & ~
% 201.34/27.00 | elem(v6, v8))))
% 201.34/27.00 | (51) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 201.34/27.00 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : (v5 = v4 | ~ (m_Down(v3) =
% 201.34/27.00 | v6) | ~ (m_Down(v1) = v7) | ~ (host(v2) = v4) | ~ (host(v0) =
% 201.34/27.00 | v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v2,
% 201.34/27.00 | alive) | ~ setIn(v0, alive) | ? [v8: $i] : ? [v9: $i] : ?
% 201.34/27.00 | [v10: $i] : ? [v11: $i] : (( ~ (v9 = v4) & host(v3) = v9 & $i(v9))
% 201.34/27.00 | | ( ~ (v8 = v5) & host(v1) = v8 & $i(v8)) | (queue(v5) = v10 &
% 201.34/27.00 | $i(v10) & ~ elem(v6, v10)) | (queue(v4) = v11 & $i(v11) & ~
% 201.34/27.00 | elem(v7, v11))))
% 201.34/27.00 |
% 201.34/27.00 | GROUND_INST: instantiating (11) with all_62_0, all_65_22, zero, simplifying
% 201.34/27.00 | with (16), (40) gives:
% 201.34/27.00 | (52) all_65_22 = all_62_0
% 201.34/27.00 |
% 201.34/27.00 | GROUND_INST: instantiating (11) with all_59_0, all_65_22, zero, simplifying
% 201.34/27.00 | with (14), (40) gives:
% 201.34/27.00 | (53) all_65_22 = all_59_0
% 201.34/27.00 |
% 201.34/27.00 | COMBINE_EQS: (52), (53) imply:
% 201.34/27.00 | (54) all_62_0 = all_59_0
% 201.34/27.00 |
% 201.34/27.00 | SIMP: (54) implies:
% 201.34/27.00 | (55) all_62_0 = all_59_0
% 201.34/27.00 |
% 201.34/27.00 | GROUND_INST: instantiating (3) with all_65_9, all_65_8, simplifying with (28),
% 201.34/27.00 | (37) gives:
% 201.34/27.00 | (56) leq(all_65_8, nbr_proc)
% 201.34/27.00 |
% 201.34/27.00 | GROUND_INST: instantiating (17) with all_65_9, all_65_8, simplifying with
% 201.34/27.00 | (28), (37) gives:
% 201.34/27.00 | (57) leq(all_62_0, all_65_8)
% 201.34/27.00 |
% 201.34/27.00 | GROUND_INST: instantiating (47) with all_65_19, all_65_18, all_65_16,
% 201.34/27.00 | nbr_proc, simplifying with (25), (26), (35), (41) gives:
% 201.34/27.00 | (58) ? [v0: $i] : ? [v1: $i] : (( ~ (v1 = nbr_proc) & host(all_65_18) =
% 201.34/27.00 | v1 & $i(v1)) | (queue(nbr_proc) = v0 & $i(v0) & ~ elem(all_65_16,
% 201.34/27.00 | v0)))
% 201.34/27.00 |
% 201.34/27.00 | GROUND_INST: instantiating (51) with all_65_19, all_65_6, all_65_9, all_65_18,
% 201.34/27.00 | all_65_8, nbr_proc, all_65_16, all_65_1, simplifying with (22),
% 201.34/27.00 | (23), (25), (26), (28), (30), (35), (37), (41), (42) gives:
% 201.34/27.01 | (59) all_65_8 = nbr_proc | ? [v0: $i] : ? [v1: any] : ? [v2: $i] : ?
% 201.34/27.01 | [v3: $i] : (( ~ (v1 = all_65_8) & host(all_65_18) = v1 & $i(v1)) | ( ~
% 201.34/27.01 | (v0 = nbr_proc) & host(all_65_6) = v0 & $i(v0)) | (queue(all_65_8)
% 201.34/27.01 | = v3 & $i(v3) & ~ elem(all_65_1, v3)) | (queue(nbr_proc) = v2 &
% 201.34/27.01 | $i(v2) & ~ elem(all_65_16, v2)))
% 201.34/27.01 |
% 201.34/27.01 | GROUND_INST: instantiating (51) with all_65_9, all_65_18, all_65_19, all_65_6,
% 201.34/27.01 | nbr_proc, all_65_8, all_65_1, all_65_16, simplifying with (22),
% 201.34/27.01 | (23), (25), (26), (28), (30), (35), (37), (41), (42) gives:
% 201.34/27.01 | (60) all_65_8 = nbr_proc | ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ?
% 201.34/27.01 | [v3: $i] : (( ~ (v1 = nbr_proc) & host(all_65_6) = v1 & $i(v1)) | ( ~
% 201.34/27.01 | (v0 = all_65_8) & host(all_65_18) = v0 & $i(v0)) |
% 201.34/27.01 | (queue(all_65_8) = v2 & $i(v2) & ~ elem(all_65_1, v2)) |
% 201.34/27.01 | (queue(nbr_proc) = v3 & $i(v3) & ~ elem(all_65_16, v3)))
% 201.34/27.01 |
% 201.34/27.01 | GROUND_INST: instantiating (49) with all_65_9, all_65_6, all_65_18, all_65_19,
% 201.34/27.01 | all_65_16, all_65_1, all_65_8, simplifying with (23), (25), (26),
% 201.34/27.01 | (28), (30), (35), (37), (41), (42) gives:
% 201.34/27.01 | (61) ? [v0: int] : ? [v1: $i] : ? [v2: int] : ? [v3: $i] : ? [v4: $i]
% 201.34/27.01 | : ? [v5: $i] : ($i(v5) & ((v2 = all_65_17 & ~ elem(all_65_16,
% 201.34/27.01 | all_65_17)) | (v0 = all_65_10 & ~ (v5 = v1) & host(all_65_18)
% 201.34/27.01 | = v1 & $i(v1) & leq(all_65_22, v5) & ~ leq(nbr_proc, v5) & ~
% 201.34/27.01 | setIn(v5, all_65_10)) | ( ~ (v3 = nbr_proc) & host(all_65_6) =
% 201.34/27.01 | v3 & $i(v3)) | (queue(all_65_8) = v4 & $i(v4) & ~
% 201.34/27.01 | elem(all_65_1, v4))))
% 201.34/27.01 |
% 201.34/27.01 | GROUND_INST: instantiating (48) with all_65_6, all_65_5, all_65_9, all_65_8,
% 201.34/27.01 | all_65_3, all_65_1, simplifying with (23), (28), (30), (31),
% 201.34/27.01 | (37), (39), (42) gives:
% 201.34/27.01 | (62) all_65_3 = all_65_8 | ? [v0: any] : ? [v1: $i] : ? [v2: any] : ?
% 201.34/27.01 | [v3: $i] : (( ~ (v2 = all_65_3) & index(ldr, all_65_8) = v2 & $i(v2))
% 201.34/27.01 | | ( ~ (v1 = norm) & index(status, all_65_8) = v1 & $i(v1)) | ( ~ (v0
% 201.34/27.01 | = all_65_8) & host(all_65_6) = v0 & $i(v0)) | (queue(all_65_3) =
% 201.34/27.01 | v3 & $i(v3) & ~ elem(all_65_1, v3)))
% 201.34/27.01 |
% 201.34/27.01 | GROUND_INST: instantiating (50) with all_65_9, all_65_9, all_65_19, all_65_6,
% 201.34/27.01 | nbr_proc, all_65_8, all_65_1, simplifying with (22), (23), (25),
% 201.34/27.01 | (28), (30), (35), (37), (42) gives:
% 201.34/27.01 | (63) all_65_8 = nbr_proc | ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (( ~
% 201.34/27.01 | (v0 = nbr_proc) & host(all_65_6) = v0 & $i(v0)) | (index(down,
% 201.34/27.01 | nbr_proc) = v2 & $i(v2) & ~ setIn(all_65_8, v2)) |
% 201.34/27.01 | (queue(all_65_8) = v1 & $i(v1) & ~ elem(all_65_1, v1)))
% 201.34/27.01 |
% 201.34/27.01 | GROUND_INST: instantiating (47) with all_65_19, all_65_6, all_65_1, nbr_proc,
% 201.34/27.01 | simplifying with (25), (30), (35), (42) gives:
% 201.34/27.01 | (64) ? [v0: $i] : ? [v1: $i] : (( ~ (v1 = nbr_proc) & host(all_65_6) = v1
% 201.34/27.01 | & $i(v1)) | (queue(nbr_proc) = v0 & $i(v0) & ~ elem(all_65_1,
% 201.34/27.01 | v0)))
% 201.34/27.01 |
% 201.34/27.01 | GROUND_INST: instantiating (51) with all_65_19, all_65_6, all_65_9, all_65_5,
% 201.34/27.01 | all_65_8, nbr_proc, all_65_2, all_65_1, simplifying with (22),
% 201.34/27.01 | (23), (25), (28), (30), (31), (35), (37), (42), (43) gives:
% 201.34/27.01 | (65) all_65_8 = nbr_proc | ? [v0: $i] : ? [v1: any] : ? [v2: $i] : ?
% 201.34/27.01 | [v3: $i] : (( ~ (v1 = all_65_8) & host(all_65_5) = v1 & $i(v1)) | ( ~
% 201.34/27.01 | (v0 = nbr_proc) & host(all_65_6) = v0 & $i(v0)) | (queue(all_65_8)
% 201.34/27.01 | = v3 & $i(v3) & ~ elem(all_65_1, v3)) | (queue(nbr_proc) = v2 &
% 201.34/27.01 | $i(v2) & ~ elem(all_65_2, v2)))
% 201.34/27.01 |
% 201.34/27.01 | GROUND_INST: instantiating (51) with all_65_9, all_65_5, all_65_19, all_65_6,
% 201.34/27.01 | nbr_proc, all_65_8, all_65_1, all_65_2, simplifying with (22),
% 201.34/27.01 | (23), (25), (28), (30), (31), (35), (37), (42), (43) gives:
% 201.34/27.02 | (66) all_65_8 = nbr_proc | ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ?
% 201.34/27.02 | [v3: $i] : (( ~ (v1 = nbr_proc) & host(all_65_6) = v1 & $i(v1)) | ( ~
% 201.34/27.02 | (v0 = all_65_8) & host(all_65_5) = v0 & $i(v0)) | (queue(all_65_8)
% 201.34/27.02 | = v2 & $i(v2) & ~ elem(all_65_1, v2)) | (queue(nbr_proc) = v3 &
% 201.34/27.02 | $i(v3) & ~ elem(all_65_2, v3)))
% 201.34/27.02 |
% 201.34/27.02 | GROUND_INST: instantiating (49) with all_65_9, all_65_6, all_65_5, all_65_19,
% 201.34/27.02 | all_65_2, all_65_1, all_65_8, simplifying with (23), (25), (28),
% 201.34/27.02 | (30), (31), (35), (37), (42), (43) gives:
% 201.34/27.02 | (67) ? [v0: int] : ? [v1: $i] : ? [v2: int] : ? [v3: $i] : ? [v4: $i]
% 201.34/27.02 | : ? [v5: $i] : ($i(v5) & ((v2 = all_65_17 & ~ elem(all_65_2,
% 201.34/27.02 | all_65_17)) | (v0 = all_65_10 & ~ (v5 = v1) & host(all_65_5)
% 201.34/27.02 | = v1 & $i(v1) & leq(all_65_22, v5) & ~ leq(nbr_proc, v5) & ~
% 201.34/27.02 | setIn(v5, all_65_10)) | ( ~ (v3 = nbr_proc) & host(all_65_6) =
% 201.34/27.02 | v3 & $i(v3)) | (queue(all_65_8) = v4 & $i(v4) & ~
% 201.34/27.02 | elem(all_65_1, v4))))
% 201.34/27.02 |
% 201.34/27.02 | GROUND_INST: instantiating (47) with all_65_19, all_65_5, all_65_2, nbr_proc,
% 201.34/27.02 | simplifying with (25), (31), (35), (43) gives:
% 201.34/27.02 | (68) ? [v0: $i] : ? [v1: $i] : (( ~ (v1 = nbr_proc) & host(all_65_5) = v1
% 201.34/27.02 | & $i(v1)) | (queue(nbr_proc) = v0 & $i(v0) & ~ elem(all_65_2,
% 201.34/27.02 | v0)))
% 201.34/27.02 |
% 201.34/27.02 | GROUND_INST: instantiating (5) with all_65_2, all_65_16, all_65_21, all_65_17,
% 201.34/27.02 | simplifying with (20), (24), (27), (32), (44) gives:
% 201.34/27.02 | (69) elem(all_65_2, all_65_17)
% 201.34/27.02 |
% 201.34/27.02 | GROUND_INST: instantiating (4) with all_65_16, all_65_21, all_65_17,
% 201.34/27.02 | simplifying with (24), (27), (44) gives:
% 201.34/27.02 | (70) elem(all_65_16, all_65_17)
% 201.34/27.02 |
% 201.34/27.02 | DELTA: instantiating (58) with fresh symbols all_89_0, all_89_1 gives:
% 201.34/27.02 | (71) ( ~ (all_89_0 = nbr_proc) & host(all_65_18) = all_89_0 & $i(all_89_0))
% 201.34/27.02 | | (queue(nbr_proc) = all_89_1 & $i(all_89_1) & ~ elem(all_65_16,
% 201.34/27.02 | all_89_1))
% 201.34/27.02 |
% 201.34/27.02 | DELTA: instantiating (68) with fresh symbols all_94_0, all_94_1 gives:
% 201.34/27.02 | (72) ( ~ (all_94_0 = nbr_proc) & host(all_65_5) = all_94_0 & $i(all_94_0))
% 201.34/27.02 | | (queue(nbr_proc) = all_94_1 & $i(all_94_1) & ~ elem(all_65_2,
% 201.34/27.02 | all_94_1))
% 201.34/27.02 |
% 201.34/27.02 | DELTA: instantiating (64) with fresh symbols all_98_0, all_98_1 gives:
% 201.34/27.02 | (73) ( ~ (all_98_0 = nbr_proc) & host(all_65_6) = all_98_0 & $i(all_98_0))
% 201.34/27.02 | | (queue(nbr_proc) = all_98_1 & $i(all_98_1) & ~ elem(all_65_1,
% 201.34/27.02 | all_98_1))
% 201.34/27.02 |
% 201.34/27.02 | DELTA: instantiating (67) with fresh symbols all_119_0, all_119_1, all_119_2,
% 201.34/27.02 | all_119_3, all_119_4, all_119_5 gives:
% 201.34/27.02 | (74) $i(all_119_0) & ((all_119_3 = all_65_17 & ~ elem(all_65_2,
% 201.34/27.02 | all_65_17)) | (all_119_5 = all_65_10 & ~ (all_119_0 =
% 201.34/27.02 | all_119_4) & host(all_65_5) = all_119_4 & $i(all_119_4) &
% 201.34/27.02 | leq(all_65_22, all_119_0) & ~ leq(nbr_proc, all_119_0) & ~
% 201.34/27.02 | setIn(all_119_0, all_65_10)) | ( ~ (all_119_2 = nbr_proc) &
% 201.34/27.02 | host(all_65_6) = all_119_2 & $i(all_119_2)) | (queue(all_65_8) =
% 201.34/27.02 | all_119_1 & $i(all_119_1) & ~ elem(all_65_1, all_119_1)))
% 201.34/27.02 |
% 201.34/27.02 | ALPHA: (74) implies:
% 201.34/27.02 | (75) (all_119_3 = all_65_17 & ~ elem(all_65_2, all_65_17)) | (all_119_5 =
% 201.34/27.02 | all_65_10 & ~ (all_119_0 = all_119_4) & host(all_65_5) = all_119_4
% 201.34/27.02 | & $i(all_119_4) & leq(all_65_22, all_119_0) & ~ leq(nbr_proc,
% 201.34/27.02 | all_119_0) & ~ setIn(all_119_0, all_65_10)) | ( ~ (all_119_2 =
% 201.34/27.02 | nbr_proc) & host(all_65_6) = all_119_2 & $i(all_119_2)) |
% 201.34/27.02 | (queue(all_65_8) = all_119_1 & $i(all_119_1) & ~ elem(all_65_1,
% 201.34/27.02 | all_119_1))
% 201.34/27.02 |
% 201.34/27.02 | DELTA: instantiating (61) with fresh symbols all_129_0, all_129_1, all_129_2,
% 201.34/27.02 | all_129_3, all_129_4, all_129_5 gives:
% 201.34/27.02 | (76) $i(all_129_0) & ((all_129_3 = all_65_17 & ~ elem(all_65_16,
% 201.34/27.02 | all_65_17)) | (all_129_5 = all_65_10 & ~ (all_129_0 =
% 201.34/27.02 | all_129_4) & host(all_65_18) = all_129_4 & $i(all_129_4) &
% 201.34/27.02 | leq(all_65_22, all_129_0) & ~ leq(nbr_proc, all_129_0) & ~
% 201.34/27.02 | setIn(all_129_0, all_65_10)) | ( ~ (all_129_2 = nbr_proc) &
% 201.34/27.02 | host(all_65_6) = all_129_2 & $i(all_129_2)) | (queue(all_65_8) =
% 201.34/27.02 | all_129_1 & $i(all_129_1) & ~ elem(all_65_1, all_129_1)))
% 201.34/27.02 |
% 201.34/27.02 | ALPHA: (76) implies:
% 201.34/27.02 | (77) (all_129_3 = all_65_17 & ~ elem(all_65_16, all_65_17)) | (all_129_5 =
% 201.34/27.02 | all_65_10 & ~ (all_129_0 = all_129_4) & host(all_65_18) = all_129_4
% 201.34/27.02 | & $i(all_129_4) & leq(all_65_22, all_129_0) & ~ leq(nbr_proc,
% 201.34/27.02 | all_129_0) & ~ setIn(all_129_0, all_65_10)) | ( ~ (all_129_2 =
% 201.34/27.02 | nbr_proc) & host(all_65_6) = all_129_2 & $i(all_129_2)) |
% 201.34/27.02 | (queue(all_65_8) = all_129_1 & $i(all_129_1) & ~ elem(all_65_1,
% 201.34/27.02 | all_129_1))
% 201.34/27.02 |
% 201.34/27.02 | REDUCE: (55), (57) imply:
% 201.34/27.02 | (78) leq(all_59_0, all_65_8)
% 201.34/27.02 |
% 201.34/27.02 | BETA: splitting (60) gives:
% 201.34/27.02 |
% 201.34/27.02 | Case 1:
% 201.34/27.02 | |
% 201.34/27.02 | | (79) all_65_8 = nbr_proc
% 201.34/27.02 | |
% 201.34/27.02 | | REDUCE: (19), (79) imply:
% 201.34/27.02 | | (80) $false
% 201.34/27.02 | |
% 201.34/27.02 | | CLOSE: (80) is inconsistent.
% 201.34/27.02 | |
% 201.34/27.02 | Case 2:
% 201.34/27.02 | |
% 201.34/27.03 | | (81) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (( ~ (v1 =
% 201.34/27.03 | | nbr_proc) & host(all_65_6) = v1 & $i(v1)) | ( ~ (v0 =
% 201.34/27.03 | | all_65_8) & host(all_65_18) = v0 & $i(v0)) | (queue(all_65_8)
% 201.34/27.03 | | = v2 & $i(v2) & ~ elem(all_65_1, v2)) | (queue(nbr_proc) = v3 &
% 201.34/27.03 | | $i(v3) & ~ elem(all_65_16, v3)))
% 201.34/27.03 | |
% 201.34/27.03 | | DELTA: instantiating (81) with fresh symbols all_139_0, all_139_1,
% 201.34/27.03 | | all_139_2, all_139_3 gives:
% 201.34/27.03 | | (82) ( ~ (all_139_2 = nbr_proc) & host(all_65_6) = all_139_2 &
% 201.34/27.03 | | $i(all_139_2)) | ( ~ (all_139_3 = all_65_8) & host(all_65_18) =
% 201.34/27.03 | | all_139_3 & $i(all_139_3)) | (queue(all_65_8) = all_139_1 &
% 201.34/27.03 | | $i(all_139_1) & ~ elem(all_65_1, all_139_1)) | (queue(nbr_proc) =
% 201.34/27.03 | | all_139_0 & $i(all_139_0) & ~ elem(all_65_16, all_139_0))
% 201.34/27.03 | |
% 201.34/27.03 | | BETA: splitting (65) gives:
% 201.34/27.03 | |
% 201.34/27.03 | | Case 1:
% 201.34/27.03 | | |
% 201.34/27.03 | | | (83) all_65_8 = nbr_proc
% 201.34/27.03 | | |
% 201.34/27.03 | | | REDUCE: (19), (83) imply:
% 201.34/27.03 | | | (84) $false
% 201.34/27.03 | | |
% 201.34/27.03 | | | CLOSE: (84) is inconsistent.
% 201.34/27.03 | | |
% 201.34/27.03 | | Case 2:
% 201.34/27.03 | | |
% 201.34/27.03 | | | (85) ? [v0: $i] : ? [v1: any] : ? [v2: $i] : ? [v3: $i] : (( ~ (v1
% 201.34/27.03 | | | = all_65_8) & host(all_65_5) = v1 & $i(v1)) | ( ~ (v0 =
% 201.34/27.03 | | | nbr_proc) & host(all_65_6) = v0 & $i(v0)) | (queue(all_65_8)
% 201.34/27.03 | | | = v3 & $i(v3) & ~ elem(all_65_1, v3)) | (queue(nbr_proc) = v2
% 201.34/27.03 | | | & $i(v2) & ~ elem(all_65_2, v2)))
% 201.34/27.03 | | |
% 201.34/27.03 | | | DELTA: instantiating (85) with fresh symbols all_156_0, all_156_1,
% 201.34/27.03 | | | all_156_2, all_156_3 gives:
% 201.34/27.03 | | | (86) ( ~ (all_156_2 = all_65_8) & host(all_65_5) = all_156_2 &
% 201.34/27.03 | | | $i(all_156_2)) | ( ~ (all_156_3 = nbr_proc) & host(all_65_6) =
% 201.34/27.03 | | | all_156_3 & $i(all_156_3)) | (queue(all_65_8) = all_156_0 &
% 201.34/27.03 | | | $i(all_156_0) & ~ elem(all_65_1, all_156_0)) | (queue(nbr_proc)
% 201.34/27.03 | | | = all_156_1 & $i(all_156_1) & ~ elem(all_65_2, all_156_1))
% 201.34/27.03 | | |
% 201.34/27.03 | | | BETA: splitting (73) gives:
% 201.34/27.03 | | |
% 201.34/27.03 | | | Case 1:
% 201.34/27.03 | | | |
% 201.34/27.03 | | | | (87) ~ (all_98_0 = nbr_proc) & host(all_65_6) = all_98_0 &
% 201.34/27.03 | | | | $i(all_98_0)
% 201.34/27.03 | | | |
% 201.34/27.03 | | | | ALPHA: (87) implies:
% 201.34/27.03 | | | | (88) ~ (all_98_0 = nbr_proc)
% 201.34/27.03 | | | | (89) host(all_65_6) = all_98_0
% 201.34/27.03 | | | |
% 201.34/27.03 | | | | GROUND_INST: instantiating (10) with nbr_proc, all_98_0, all_65_6,
% 201.34/27.03 | | | | simplifying with (38), (89) gives:
% 201.34/27.03 | | | | (90) all_98_0 = nbr_proc
% 201.34/27.03 | | | |
% 201.34/27.03 | | | | REDUCE: (88), (90) imply:
% 201.34/27.03 | | | | (91) $false
% 201.34/27.03 | | | |
% 201.34/27.03 | | | | CLOSE: (91) is inconsistent.
% 201.34/27.03 | | | |
% 201.34/27.03 | | | Case 2:
% 201.34/27.03 | | | |
% 201.34/27.03 | | | | (92) queue(nbr_proc) = all_98_1 & $i(all_98_1) & ~ elem(all_65_1,
% 201.34/27.03 | | | | all_98_1)
% 201.34/27.03 | | | |
% 201.34/27.03 | | | | ALPHA: (92) implies:
% 201.34/27.03 | | | | (93) queue(nbr_proc) = all_98_1
% 201.34/27.03 | | | |
% 201.34/27.03 | | | | BETA: splitting (75) gives:
% 201.34/27.03 | | | |
% 201.34/27.03 | | | | Case 1:
% 201.34/27.03 | | | | |
% 201.34/27.03 | | | | | (94) (all_119_3 = all_65_17 & ~ elem(all_65_2, all_65_17)) |
% 201.34/27.03 | | | | | (all_119_5 = all_65_10 & ~ (all_119_0 = all_119_4) &
% 201.34/27.03 | | | | | host(all_65_5) = all_119_4 & $i(all_119_4) & leq(all_65_22,
% 201.34/27.03 | | | | | all_119_0) & ~ leq(nbr_proc, all_119_0) & ~
% 201.34/27.03 | | | | | setIn(all_119_0, all_65_10))
% 201.34/27.03 | | | | |
% 201.34/27.03 | | | | | BETA: splitting (94) gives:
% 201.34/27.03 | | | | |
% 201.34/27.03 | | | | | Case 1:
% 201.34/27.03 | | | | | |
% 201.34/27.03 | | | | | | (95) all_119_3 = all_65_17 & ~ elem(all_65_2, all_65_17)
% 201.34/27.03 | | | | | |
% 201.34/27.03 | | | | | | ALPHA: (95) implies:
% 201.34/27.03 | | | | | | (96) ~ elem(all_65_2, all_65_17)
% 201.34/27.03 | | | | | |
% 201.34/27.03 | | | | | | PRED_UNIFY: (69), (96) imply:
% 201.34/27.03 | | | | | | (97) $false
% 201.34/27.03 | | | | | |
% 201.34/27.03 | | | | | | CLOSE: (97) is inconsistent.
% 201.34/27.03 | | | | | |
% 201.34/27.03 | | | | | Case 2:
% 201.34/27.03 | | | | | |
% 201.34/27.03 | | | | | | (98) all_119_5 = all_65_10 & ~ (all_119_0 = all_119_4) &
% 201.34/27.03 | | | | | | host(all_65_5) = all_119_4 & $i(all_119_4) & leq(all_65_22,
% 201.34/27.03 | | | | | | all_119_0) & ~ leq(nbr_proc, all_119_0) & ~
% 201.34/27.03 | | | | | | setIn(all_119_0, all_65_10)
% 201.34/27.03 | | | | | |
% 201.34/27.03 | | | | | | ALPHA: (98) implies:
% 201.34/27.03 | | | | | | (99) host(all_65_5) = all_119_4
% 201.34/27.03 | | | | | |
% 201.34/27.03 | | | | | | BETA: splitting (63) gives:
% 201.34/27.03 | | | | | |
% 201.34/27.03 | | | | | | Case 1:
% 201.34/27.03 | | | | | | |
% 201.34/27.03 | | | | | | | (100) all_65_8 = nbr_proc
% 201.34/27.03 | | | | | | |
% 201.34/27.03 | | | | | | | REDUCE: (19), (100) imply:
% 201.34/27.03 | | | | | | | (101) $false
% 201.34/27.03 | | | | | | |
% 201.34/27.03 | | | | | | | CLOSE: (101) is inconsistent.
% 201.34/27.03 | | | | | | |
% 201.34/27.03 | | | | | | Case 2:
% 201.34/27.03 | | | | | | |
% 201.34/27.03 | | | | | | | (102) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (( ~ (v0 =
% 201.34/27.03 | | | | | | | nbr_proc) & host(all_65_6) = v0 & $i(v0)) |
% 201.34/27.03 | | | | | | | (index(down, nbr_proc) = v2 & $i(v2) & ~
% 201.34/27.03 | | | | | | | setIn(all_65_8, v2)) | (queue(all_65_8) = v1 & $i(v1)
% 201.34/27.03 | | | | | | | & ~ elem(all_65_1, v1)))
% 201.34/27.03 | | | | | | |
% 201.34/27.03 | | | | | | | DELTA: instantiating (102) with fresh symbols all_213_0,
% 201.34/27.03 | | | | | | | all_213_1, all_213_2 gives:
% 201.34/27.03 | | | | | | | (103) ( ~ (all_213_2 = nbr_proc) & host(all_65_6) = all_213_2 &
% 201.34/27.03 | | | | | | | $i(all_213_2)) | (index(down, nbr_proc) = all_213_0 &
% 201.34/27.03 | | | | | | | $i(all_213_0) & ~ setIn(all_65_8, all_213_0)) |
% 201.34/27.03 | | | | | | | (queue(all_65_8) = all_213_1 & $i(all_213_1) & ~
% 201.34/27.03 | | | | | | | elem(all_65_1, all_213_1))
% 201.34/27.03 | | | | | | |
% 201.34/27.03 | | | | | | | BETA: splitting (103) gives:
% 201.34/27.03 | | | | | | |
% 201.34/27.03 | | | | | | | Case 1:
% 201.34/27.03 | | | | | | | |
% 201.34/27.03 | | | | | | | | (104) ~ (all_213_2 = nbr_proc) & host(all_65_6) = all_213_2
% 201.34/27.03 | | | | | | | | & $i(all_213_2)
% 201.34/27.03 | | | | | | | |
% 201.34/27.03 | | | | | | | | ALPHA: (104) implies:
% 201.34/27.03 | | | | | | | | (105) ~ (all_213_2 = nbr_proc)
% 201.34/27.03 | | | | | | | | (106) host(all_65_6) = all_213_2
% 201.34/27.03 | | | | | | | |
% 201.34/27.03 | | | | | | | | GROUND_INST: instantiating (10) with nbr_proc, all_213_2,
% 201.34/27.03 | | | | | | | | all_65_6, simplifying with (38), (106) gives:
% 201.34/27.03 | | | | | | | | (107) all_213_2 = nbr_proc
% 201.34/27.03 | | | | | | | |
% 201.34/27.03 | | | | | | | | REDUCE: (105), (107) imply:
% 201.34/27.03 | | | | | | | | (108) $false
% 201.34/27.03 | | | | | | | |
% 201.34/27.03 | | | | | | | | CLOSE: (108) is inconsistent.
% 201.34/27.03 | | | | | | | |
% 201.34/27.03 | | | | | | | Case 2:
% 201.34/27.03 | | | | | | | |
% 201.34/27.03 | | | | | | | | (109) (index(down, nbr_proc) = all_213_0 & $i(all_213_0) & ~
% 201.34/27.03 | | | | | | | | setIn(all_65_8, all_213_0)) | (queue(all_65_8) =
% 201.34/27.03 | | | | | | | | all_213_1 & $i(all_213_1) & ~ elem(all_65_1,
% 201.34/27.03 | | | | | | | | all_213_1))
% 201.34/27.03 | | | | | | | |
% 201.34/27.03 | | | | | | | | BETA: splitting (109) gives:
% 201.34/27.03 | | | | | | | |
% 201.34/27.03 | | | | | | | | Case 1:
% 201.34/27.03 | | | | | | | | |
% 201.34/27.03 | | | | | | | | | (110) index(down, nbr_proc) = all_213_0 & $i(all_213_0) &
% 201.34/27.03 | | | | | | | | | ~ setIn(all_65_8, all_213_0)
% 201.34/27.03 | | | | | | | | |
% 201.34/27.03 | | | | | | | | | ALPHA: (110) implies:
% 201.34/27.03 | | | | | | | | | (111) ~ setIn(all_65_8, all_213_0)
% 201.34/27.03 | | | | | | | | | (112) index(down, nbr_proc) = all_213_0
% 201.34/27.03 | | | | | | | | |
% 201.34/27.03 | | | | | | | | | BETA: splitting (59) gives:
% 201.34/27.03 | | | | | | | | |
% 201.34/27.03 | | | | | | | | | Case 1:
% 201.34/27.03 | | | | | | | | | |
% 201.34/27.04 | | | | | | | | | | (113) all_65_8 = nbr_proc
% 201.34/27.04 | | | | | | | | | |
% 201.34/27.04 | | | | | | | | | | REDUCE: (19), (113) imply:
% 201.34/27.04 | | | | | | | | | | (114) $false
% 201.34/27.04 | | | | | | | | | |
% 201.34/27.04 | | | | | | | | | | CLOSE: (114) is inconsistent.
% 201.34/27.04 | | | | | | | | | |
% 201.34/27.04 | | | | | | | | | Case 2:
% 201.34/27.04 | | | | | | | | | |
% 201.34/27.04 | | | | | | | | | | (115) ? [v0: $i] : ? [v1: any] : ? [v2: $i] : ? [v3:
% 201.34/27.04 | | | | | | | | | | $i] : (( ~ (v1 = all_65_8) & host(all_65_18) = v1
% 201.34/27.04 | | | | | | | | | | & $i(v1)) | ( ~ (v0 = nbr_proc) &
% 201.34/27.04 | | | | | | | | | | host(all_65_6) = v0 & $i(v0)) |
% 201.34/27.04 | | | | | | | | | | (queue(all_65_8) = v3 & $i(v3) & ~
% 201.34/27.04 | | | | | | | | | | elem(all_65_1, v3)) | (queue(nbr_proc) = v2 &
% 201.34/27.04 | | | | | | | | | | $i(v2) & ~ elem(all_65_16, v2)))
% 201.34/27.04 | | | | | | | | | |
% 201.34/27.04 | | | | | | | | | | DELTA: instantiating (115) with fresh symbols all_281_0,
% 201.34/27.04 | | | | | | | | | | all_281_1, all_281_2, all_281_3 gives:
% 201.34/27.04 | | | | | | | | | | (116) ( ~ (all_281_2 = all_65_8) & host(all_65_18) =
% 201.34/27.04 | | | | | | | | | | all_281_2 & $i(all_281_2)) | ( ~ (all_281_3 =
% 201.34/27.04 | | | | | | | | | | nbr_proc) & host(all_65_6) = all_281_3 &
% 201.34/27.04 | | | | | | | | | | $i(all_281_3)) | (queue(all_65_8) = all_281_0 &
% 201.34/27.04 | | | | | | | | | | $i(all_281_0) & ~ elem(all_65_1, all_281_0)) |
% 201.34/27.04 | | | | | | | | | | (queue(nbr_proc) = all_281_1 & $i(all_281_1) & ~
% 201.34/27.04 | | | | | | | | | | elem(all_65_16, all_281_1))
% 201.34/27.04 | | | | | | | | | |
% 201.34/27.04 | | | | | | | | | | BETA: splitting (77) gives:
% 201.34/27.04 | | | | | | | | | |
% 201.34/27.04 | | | | | | | | | | Case 1:
% 201.34/27.04 | | | | | | | | | | |
% 201.34/27.04 | | | | | | | | | | | (117) (all_129_3 = all_65_17 & ~ elem(all_65_16,
% 201.34/27.04 | | | | | | | | | | | all_65_17)) | (all_129_5 = all_65_10 & ~
% 201.34/27.04 | | | | | | | | | | | (all_129_0 = all_129_4) & host(all_65_18) =
% 201.34/27.04 | | | | | | | | | | | all_129_4 & $i(all_129_4) & leq(all_65_22,
% 201.34/27.04 | | | | | | | | | | | all_129_0) & ~ leq(nbr_proc, all_129_0) & ~
% 201.34/27.04 | | | | | | | | | | | setIn(all_129_0, all_65_10))
% 201.34/27.04 | | | | | | | | | | |
% 201.34/27.04 | | | | | | | | | | | BETA: splitting (117) gives:
% 201.34/27.04 | | | | | | | | | | |
% 201.34/27.04 | | | | | | | | | | | Case 1:
% 201.34/27.04 | | | | | | | | | | | |
% 201.34/27.04 | | | | | | | | | | | | (118) all_129_3 = all_65_17 & ~ elem(all_65_16,
% 201.34/27.04 | | | | | | | | | | | | all_65_17)
% 201.34/27.04 | | | | | | | | | | | |
% 201.34/27.04 | | | | | | | | | | | | ALPHA: (118) implies:
% 201.34/27.04 | | | | | | | | | | | | (119) ~ elem(all_65_16, all_65_17)
% 201.34/27.04 | | | | | | | | | | | |
% 201.34/27.04 | | | | | | | | | | | | PRED_UNIFY: (70), (119) imply:
% 201.34/27.04 | | | | | | | | | | | | (120) $false
% 201.34/27.04 | | | | | | | | | | | |
% 201.34/27.04 | | | | | | | | | | | | CLOSE: (120) is inconsistent.
% 201.34/27.04 | | | | | | | | | | | |
% 201.34/27.04 | | | | | | | | | | | Case 2:
% 201.34/27.04 | | | | | | | | | | | |
% 201.34/27.04 | | | | | | | | | | | | (121) all_129_5 = all_65_10 & ~ (all_129_0 = all_129_4)
% 201.34/27.04 | | | | | | | | | | | | & host(all_65_18) = all_129_4 & $i(all_129_4) &
% 201.34/27.04 | | | | | | | | | | | | leq(all_65_22, all_129_0) & ~ leq(nbr_proc,
% 201.34/27.04 | | | | | | | | | | | | all_129_0) & ~ setIn(all_129_0, all_65_10)
% 201.34/27.04 | | | | | | | | | | | |
% 201.34/27.04 | | | | | | | | | | | | ALPHA: (121) implies:
% 201.34/27.04 | | | | | | | | | | | | (122) host(all_65_18) = all_129_4
% 201.34/27.04 | | | | | | | | | | | |
% 201.34/27.04 | | | | | | | | | | | | BETA: splitting (66) gives:
% 201.34/27.04 | | | | | | | | | | | |
% 201.34/27.04 | | | | | | | | | | | | Case 1:
% 201.34/27.04 | | | | | | | | | | | | |
% 201.34/27.04 | | | | | | | | | | | | | (123) all_65_8 = nbr_proc
% 201.34/27.04 | | | | | | | | | | | | |
% 201.34/27.04 | | | | | | | | | | | | | REDUCE: (19), (123) imply:
% 201.34/27.04 | | | | | | | | | | | | | (124) $false
% 201.34/27.04 | | | | | | | | | | | | |
% 201.34/27.04 | | | | | | | | | | | | | CLOSE: (124) is inconsistent.
% 201.34/27.04 | | | | | | | | | | | | |
% 201.34/27.04 | | | | | | | | | | | | Case 2:
% 201.34/27.04 | | | | | | | | | | | | |
% 201.34/27.04 | | | | | | | | | | | | | (125) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3:
% 201.34/27.04 | | | | | | | | | | | | | $i] : (( ~ (v1 = nbr_proc) & host(all_65_6) = v1
% 201.34/27.04 | | | | | | | | | | | | | & $i(v1)) | ( ~ (v0 = all_65_8) &
% 201.34/27.04 | | | | | | | | | | | | | host(all_65_5) = v0 & $i(v0)) |
% 201.34/27.04 | | | | | | | | | | | | | (queue(all_65_8) = v2 & $i(v2) & ~
% 201.34/27.04 | | | | | | | | | | | | | elem(all_65_1, v2)) | (queue(nbr_proc) = v3 &
% 201.34/27.04 | | | | | | | | | | | | | $i(v3) & ~ elem(all_65_2, v3)))
% 201.34/27.04 | | | | | | | | | | | | |
% 201.34/27.04 | | | | | | | | | | | | | DELTA: instantiating (125) with fresh symbols all_302_0,
% 201.34/27.04 | | | | | | | | | | | | | all_302_1, all_302_2, all_302_3 gives:
% 201.34/27.04 | | | | | | | | | | | | | (126) ( ~ (all_302_2 = nbr_proc) & host(all_65_6) =
% 201.34/27.04 | | | | | | | | | | | | | all_302_2 & $i(all_302_2)) | ( ~ (all_302_3 =
% 201.34/27.04 | | | | | | | | | | | | | all_65_8) & host(all_65_5) = all_302_3 &
% 201.34/27.04 | | | | | | | | | | | | | $i(all_302_3)) | (queue(all_65_8) = all_302_1 &
% 201.34/27.04 | | | | | | | | | | | | | $i(all_302_1) & ~ elem(all_65_1, all_302_1)) |
% 201.34/27.04 | | | | | | | | | | | | | (queue(nbr_proc) = all_302_0 & $i(all_302_0) & ~
% 201.34/27.04 | | | | | | | | | | | | | elem(all_65_2, all_302_0))
% 201.34/27.04 | | | | | | | | | | | | |
% 201.34/27.04 | | | | | | | | | | | | | BETA: splitting (126) gives:
% 201.34/27.04 | | | | | | | | | | | | |
% 201.34/27.04 | | | | | | | | | | | | | Case 1:
% 201.34/27.04 | | | | | | | | | | | | | |
% 201.34/27.04 | | | | | | | | | | | | | | (127) ( ~ (all_302_2 = nbr_proc) & host(all_65_6) =
% 201.34/27.04 | | | | | | | | | | | | | | all_302_2 & $i(all_302_2)) | ( ~ (all_302_3 =
% 201.34/27.04 | | | | | | | | | | | | | | all_65_8) & host(all_65_5) = all_302_3 &
% 201.34/27.04 | | | | | | | | | | | | | | $i(all_302_3))
% 201.34/27.04 | | | | | | | | | | | | | |
% 201.34/27.04 | | | | | | | | | | | | | | BETA: splitting (127) gives:
% 201.34/27.04 | | | | | | | | | | | | | |
% 201.34/27.04 | | | | | | | | | | | | | | Case 1:
% 201.34/27.04 | | | | | | | | | | | | | | |
% 201.34/27.04 | | | | | | | | | | | | | | | (128) ~ (all_302_2 = nbr_proc) & host(all_65_6) =
% 201.34/27.04 | | | | | | | | | | | | | | | all_302_2 & $i(all_302_2)
% 201.34/27.04 | | | | | | | | | | | | | | |
% 201.34/27.04 | | | | | | | | | | | | | | | ALPHA: (128) implies:
% 201.34/27.04 | | | | | | | | | | | | | | | (129) ~ (all_302_2 = nbr_proc)
% 201.34/27.04 | | | | | | | | | | | | | | | (130) host(all_65_6) = all_302_2
% 201.34/27.04 | | | | | | | | | | | | | | |
% 201.34/27.04 | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with nbr_proc, all_302_2,
% 201.34/27.04 | | | | | | | | | | | | | | | all_65_6, simplifying with (38), (130) gives:
% 201.34/27.04 | | | | | | | | | | | | | | | (131) all_302_2 = nbr_proc
% 201.34/27.04 | | | | | | | | | | | | | | |
% 201.34/27.04 | | | | | | | | | | | | | | | REDUCE: (129), (131) imply:
% 201.34/27.04 | | | | | | | | | | | | | | | (132) $false
% 201.34/27.04 | | | | | | | | | | | | | | |
% 201.34/27.04 | | | | | | | | | | | | | | | CLOSE: (132) is inconsistent.
% 201.34/27.04 | | | | | | | | | | | | | | |
% 201.34/27.04 | | | | | | | | | | | | | | Case 2:
% 201.34/27.04 | | | | | | | | | | | | | | |
% 201.34/27.04 | | | | | | | | | | | | | | | (133) ~ (all_302_3 = all_65_8) & host(all_65_5) =
% 201.34/27.04 | | | | | | | | | | | | | | | all_302_3 & $i(all_302_3)
% 201.34/27.04 | | | | | | | | | | | | | | |
% 201.34/27.04 | | | | | | | | | | | | | | | ALPHA: (133) implies:
% 201.34/27.04 | | | | | | | | | | | | | | | (134) ~ (all_302_3 = all_65_8)
% 201.34/27.04 | | | | | | | | | | | | | | | (135) host(all_65_5) = all_302_3
% 201.34/27.04 | | | | | | | | | | | | | | |
% 201.34/27.04 | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_65_17, all_98_1,
% 201.34/27.04 | | | | | | | | | | | | | | | nbr_proc, simplifying with (33), (93) gives:
% 201.34/27.04 | | | | | | | | | | | | | | | (136) all_98_1 = all_65_17
% 201.34/27.04 | | | | | | | | | | | | | | |
% 201.34/27.04 | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_65_15, all_129_4,
% 201.34/27.04 | | | | | | | | | | | | | | | all_65_18, simplifying with (36), (122) gives:
% 201.34/27.04 | | | | | | | | | | | | | | | (137) all_129_4 = all_65_15
% 201.34/27.04 | | | | | | | | | | | | | | |
% 201.34/27.04 | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_65_3, all_302_3,
% 201.34/27.04 | | | | | | | | | | | | | | | all_65_5, simplifying with (39), (135) gives:
% 201.34/27.04 | | | | | | | | | | | | | | | (138) all_302_3 = all_65_3
% 201.34/27.04 | | | | | | | | | | | | | | |
% 201.34/27.04 | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_119_4, all_302_3,
% 201.34/27.04 | | | | | | | | | | | | | | | all_65_5, simplifying with (99), (135) gives:
% 201.34/27.04 | | | | | | | | | | | | | | | (139) all_302_3 = all_119_4
% 201.75/27.04 | | | | | | | | | | | | | | |
% 201.75/27.04 | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_65_10, all_213_0,
% 201.75/27.04 | | | | | | | | | | | | | | | nbr_proc, down, simplifying with (45), (112)
% 201.75/27.04 | | | | | | | | | | | | | | | gives:
% 201.75/27.04 | | | | | | | | | | | | | | | (140) all_213_0 = all_65_10
% 201.75/27.04 | | | | | | | | | | | | | | |
% 201.75/27.04 | | | | | | | | | | | | | | | COMBINE_EQS: (138), (139) imply:
% 201.75/27.04 | | | | | | | | | | | | | | | (141) all_119_4 = all_65_3
% 201.75/27.04 | | | | | | | | | | | | | | |
% 201.75/27.04 | | | | | | | | | | | | | | | SIMP: (141) implies:
% 201.75/27.04 | | | | | | | | | | | | | | | (142) all_119_4 = all_65_3
% 201.75/27.04 | | | | | | | | | | | | | | |
% 201.75/27.04 | | | | | | | | | | | | | | | REDUCE: (134), (138) imply:
% 201.75/27.04 | | | | | | | | | | | | | | | (143) ~ (all_65_3 = all_65_8)
% 201.75/27.04 | | | | | | | | | | | | | | |
% 201.75/27.04 | | | | | | | | | | | | | | | REDUCE: (111), (140) imply:
% 201.75/27.04 | | | | | | | | | | | | | | | (144) ~ setIn(all_65_8, all_65_10)
% 201.75/27.04 | | | | | | | | | | | | | | |
% 201.75/27.04 | | | | | | | | | | | | | | | BETA: splitting (72) gives:
% 201.75/27.04 | | | | | | | | | | | | | | |
% 201.75/27.04 | | | | | | | | | | | | | | | Case 1:
% 201.75/27.04 | | | | | | | | | | | | | | | |
% 201.75/27.04 | | | | | | | | | | | | | | | | (145) ~ (all_94_0 = nbr_proc) & host(all_65_5) =
% 201.75/27.04 | | | | | | | | | | | | | | | | all_94_0 & $i(all_94_0)
% 201.75/27.04 | | | | | | | | | | | | | | | |
% 201.75/27.04 | | | | | | | | | | | | | | | | ALPHA: (145) implies:
% 201.75/27.04 | | | | | | | | | | | | | | | | (146) host(all_65_5) = all_94_0
% 201.75/27.04 | | | | | | | | | | | | | | | |
% 201.75/27.04 | | | | | | | | | | | | | | | | BETA: splitting (71) gives:
% 201.75/27.04 | | | | | | | | | | | | | | | |
% 201.75/27.04 | | | | | | | | | | | | | | | | Case 1:
% 201.75/27.04 | | | | | | | | | | | | | | | | |
% 201.75/27.04 | | | | | | | | | | | | | | | | | (147) ~ (all_89_0 = nbr_proc) & host(all_65_18) =
% 201.75/27.04 | | | | | | | | | | | | | | | | | all_89_0 & $i(all_89_0)
% 201.75/27.04 | | | | | | | | | | | | | | | | |
% 201.75/27.04 | | | | | | | | | | | | | | | | | ALPHA: (147) implies:
% 201.75/27.04 | | | | | | | | | | | | | | | | | (148) host(all_65_18) = all_89_0
% 201.75/27.04 | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | BETA: splitting (86) gives:
% 201.75/27.05 | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | Case 1:
% 201.75/27.05 | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | (149) ( ~ (all_156_2 = all_65_8) & host(all_65_5) =
% 201.75/27.05 | | | | | | | | | | | | | | | | | | all_156_2 & $i(all_156_2)) | ( ~ (all_156_3 =
% 201.75/27.05 | | | | | | | | | | | | | | | | | | nbr_proc) & host(all_65_6) = all_156_3 &
% 201.75/27.05 | | | | | | | | | | | | | | | | | | $i(all_156_3))
% 201.75/27.05 | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | BETA: splitting (149) gives:
% 201.75/27.05 | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | Case 1:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | (150) ~ (all_156_2 = all_65_8) & host(all_65_5) =
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | all_156_2 & $i(all_156_2)
% 201.75/27.05 | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | ALPHA: (150) implies:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | (151) ~ (all_156_2 = all_65_8)
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | (152) host(all_65_5) = all_156_2
% 201.75/27.05 | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | BETA: splitting (116) gives:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | Case 1:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | (153) ( ~ (all_281_2 = all_65_8) & host(all_65_18) =
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | all_281_2 & $i(all_281_2)) | ( ~ (all_281_3 =
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | nbr_proc) & host(all_65_6) = all_281_3 &
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | $i(all_281_3))
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | BETA: splitting (153) gives:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | (154) ~ (all_281_2 = all_65_8) & host(all_65_18) =
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | all_281_2 & $i(all_281_2)
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | ALPHA: (154) implies:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | (155) host(all_65_18) = all_281_2
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | (156) ( ~ (all_139_2 = nbr_proc) & host(all_65_6) =
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | all_139_2 & $i(all_139_2)) | ( ~ (all_139_3 =
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | all_65_8) & host(all_65_18) = all_139_3 &
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | $i(all_139_3))
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (156) gives:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | (157) ~ (all_139_2 = nbr_proc) & host(all_65_6) =
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | all_139_2 & $i(all_139_2)
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (157) implies:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | (158) ~ (all_139_2 = nbr_proc)
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | (159) host(all_65_6) = all_139_2
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with nbr_proc, all_139_2,
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | all_65_6, simplifying with (38), (159) gives:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | (160) all_139_2 = nbr_proc
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (158), (160) imply:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | (161) $false
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (161) is inconsistent.
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | (162) ~ (all_139_3 = all_65_8) & host(all_65_18) =
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | all_139_3 & $i(all_139_3)
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (162) implies:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | (163) ~ (all_139_3 = all_65_8)
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | (164) host(all_65_18) = all_139_3
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (62) gives:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | (165) all_65_3 = all_65_8
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (165) imply:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | (166) $false
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (166) is inconsistent.
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_89_0, all_139_3,
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | all_65_18, simplifying with (148), (164) gives:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | (167) all_139_3 = all_89_0
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_65_15, all_281_2,
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | all_65_18, simplifying with (36), (155) gives:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | (168) all_281_2 = all_65_15
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_139_3, all_281_2,
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | all_65_18, simplifying with (155), (164) gives:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | (169) all_281_2 = all_139_3
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_65_3, all_156_2,
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | all_65_5, simplifying with (39), (152) gives:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | (170) all_156_2 = all_65_3
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_94_0, all_156_2,
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | all_65_5, simplifying with (146), (152) gives:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | (171) all_156_2 = all_94_0
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (168), (169) imply:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | (172) all_139_3 = all_65_15
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (172) implies:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | (173) all_139_3 = all_65_15
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (170), (171) imply:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | (174) all_94_0 = all_65_3
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (167), (173) imply:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | (175) all_89_0 = all_65_15
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (163), (173) imply:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | (176) ~ (all_65_8 = all_65_15)
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (176) implies:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | (177) ~ (all_65_8 = all_65_15)
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (46) with all_65_8, simplifying with
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | (29), (144) gives:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | (178) all_65_3 = all_65_8 | all_65_8 = all_65_15 | ~
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | leq(all_65_22, all_65_8) | leq(nbr_proc, all_65_8)
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with nbr_proc, all_65_8,
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (7), (29), (56) gives:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | (179) all_65_8 = nbr_proc | ~ leq(nbr_proc, all_65_8)
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (179) gives:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | (180) ~ leq(nbr_proc, all_65_8)
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (181) leq(nbr_proc, all_65_8)
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (180), (181) imply:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (182) $false
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (182) is inconsistent.
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (183) all_65_3 = all_65_8 | all_65_8 = all_65_15 | ~
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | leq(all_65_22, all_65_8)
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (183) gives:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (184) ~ leq(all_65_22, all_65_8)
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (53), (184) imply:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (185) ~ leq(all_59_0, all_65_8)
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (78), (185) imply:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (186) $false
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (186) is inconsistent.
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (187) all_65_3 = all_65_8 | all_65_8 = all_65_15
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (187) gives:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (188) all_65_3 = all_65_8
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (188) imply:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (189) $false
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (189) is inconsistent.
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (190) all_65_8 = all_65_15
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (177), (190) imply:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (191) $false
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (191) is inconsistent.
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | (192) all_65_8 = nbr_proc
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (192) imply:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | (193) $false
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (193) is inconsistent.
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | (194) (queue(all_65_8) = all_139_1 & $i(all_139_1) & ~
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | elem(all_65_1, all_139_1)) | (queue(nbr_proc) =
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | all_139_0 & $i(all_139_0) & ~ elem(all_65_16,
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | all_139_0))
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | (195) queue(all_65_8) = all_139_1 & $i(all_139_1) & ~
% 201.75/27.05 | | | | | | | | | | | | | | | | | | | | | | | elem(all_65_1, all_139_1)
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (195) implies:
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | | | (196) ~ elem(all_65_1, all_139_1)
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | | | (197) queue(all_65_8) = all_139_1
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_65_7, all_139_1,
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | | | all_65_8, simplifying with (34), (197) gives:
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | | | (198) all_139_1 = all_65_7
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (196), (198) imply:
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | | | (199) ~ elem(all_65_1, all_65_7)
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (21), (199) imply:
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | | | (200) $false
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (200) is inconsistent.
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | | | (201) queue(nbr_proc) = all_139_0 & $i(all_139_0) & ~
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | | | elem(all_65_16, all_139_0)
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (201) implies:
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | | | (202) ~ elem(all_65_16, all_139_0)
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | | | (203) queue(nbr_proc) = all_139_0
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_65_17, all_139_0,
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | | | nbr_proc, simplifying with (33), (203) gives:
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | | | (204) all_139_0 = all_65_17
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (202), (204) imply:
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | | | (205) ~ elem(all_65_16, all_65_17)
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (70), (205) imply:
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | | | (206) $false
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (206) is inconsistent.
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | | End of split
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | End of split
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | (207) ~ (all_281_3 = nbr_proc) & host(all_65_6) =
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | all_281_3 & $i(all_281_3)
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | ALPHA: (207) implies:
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | (208) ~ (all_281_3 = nbr_proc)
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | (209) host(all_65_6) = all_281_3
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with nbr_proc, all_281_3,
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | all_65_6, simplifying with (38), (209) gives:
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | (210) all_281_3 = nbr_proc
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (208), (210) imply:
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | (211) $false
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | CLOSE: (211) is inconsistent.
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | End of split
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | Case 2:
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | (212) (queue(all_65_8) = all_281_0 & $i(all_281_0) & ~
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | elem(all_65_1, all_281_0)) | (queue(nbr_proc) =
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | all_281_1 & $i(all_281_1) & ~ elem(all_65_16,
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | all_281_1))
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | Case 1:
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | (213) queue(all_65_8) = all_281_0 & $i(all_281_0) & ~
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | elem(all_65_1, all_281_0)
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | ALPHA: (213) implies:
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | (214) ~ elem(all_65_1, all_281_0)
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | (215) queue(all_65_8) = all_281_0
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_65_7, all_281_0,
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | all_65_8, simplifying with (34), (215) gives:
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | (216) all_281_0 = all_65_7
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (214), (216) imply:
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | (217) ~ elem(all_65_1, all_65_7)
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (21), (217) imply:
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | (218) $false
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | CLOSE: (218) is inconsistent.
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | Case 2:
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | (219) queue(nbr_proc) = all_281_1 & $i(all_281_1) & ~
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | elem(all_65_16, all_281_1)
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | ALPHA: (219) implies:
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | (220) ~ elem(all_65_16, all_281_1)
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | (221) queue(nbr_proc) = all_281_1
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_65_17, all_281_1,
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | nbr_proc, simplifying with (33), (221) gives:
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | (222) all_281_1 = all_65_17
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (220), (222) imply:
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | (223) ~ elem(all_65_16, all_65_17)
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (70), (223) imply:
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | (224) $false
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | | CLOSE: (224) is inconsistent.
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | | End of split
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | End of split
% 201.75/27.06 | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | Case 2:
% 201.75/27.06 | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | (225) ~ (all_156_3 = nbr_proc) & host(all_65_6) =
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | all_156_3 & $i(all_156_3)
% 201.75/27.06 | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | ALPHA: (225) implies:
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | (226) ~ (all_156_3 = nbr_proc)
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | (227) host(all_65_6) = all_156_3
% 201.75/27.06 | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with nbr_proc, all_156_3,
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | all_65_6, simplifying with (38), (227) gives:
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | (228) all_156_3 = nbr_proc
% 201.75/27.06 | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | REDUCE: (226), (228) imply:
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | (229) $false
% 201.75/27.06 | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | CLOSE: (229) is inconsistent.
% 201.75/27.06 | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | End of split
% 201.75/27.06 | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | Case 2:
% 201.75/27.06 | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | (230) (queue(all_65_8) = all_156_0 & $i(all_156_0) & ~
% 201.75/27.06 | | | | | | | | | | | | | | | | | | elem(all_65_1, all_156_0)) | (queue(nbr_proc) =
% 201.75/27.06 | | | | | | | | | | | | | | | | | | all_156_1 & $i(all_156_1) & ~ elem(all_65_2,
% 201.75/27.06 | | | | | | | | | | | | | | | | | | all_156_1))
% 201.75/27.06 | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 201.75/27.06 | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | Case 1:
% 201.75/27.06 | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | (231) queue(all_65_8) = all_156_0 & $i(all_156_0) & ~
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | elem(all_65_1, all_156_0)
% 201.75/27.06 | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | ALPHA: (231) implies:
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | (232) ~ elem(all_65_1, all_156_0)
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | (233) queue(all_65_8) = all_156_0
% 201.75/27.06 | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_65_7, all_156_0,
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | all_65_8, simplifying with (34), (233) gives:
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | (234) all_156_0 = all_65_7
% 201.75/27.06 | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | REDUCE: (232), (234) imply:
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | (235) ~ elem(all_65_1, all_65_7)
% 201.75/27.06 | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (21), (235) imply:
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | (236) $false
% 201.75/27.06 | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | CLOSE: (236) is inconsistent.
% 201.75/27.06 | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | Case 2:
% 201.75/27.06 | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | (237) queue(nbr_proc) = all_156_1 & $i(all_156_1) & ~
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | elem(all_65_2, all_156_1)
% 201.75/27.06 | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | ALPHA: (237) implies:
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | (238) ~ elem(all_65_2, all_156_1)
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | (239) queue(nbr_proc) = all_156_1
% 201.75/27.06 | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_65_17, all_156_1,
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | nbr_proc, simplifying with (33), (239) gives:
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | (240) all_156_1 = all_65_17
% 201.75/27.06 | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | REDUCE: (238), (240) imply:
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | (241) ~ elem(all_65_2, all_65_17)
% 201.75/27.06 | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (69), (241) imply:
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | (242) $false
% 201.75/27.06 | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | | CLOSE: (242) is inconsistent.
% 201.75/27.06 | | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | | End of split
% 201.75/27.06 | | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | End of split
% 201.75/27.06 | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | Case 2:
% 201.75/27.06 | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | (243) queue(nbr_proc) = all_89_1 & $i(all_89_1) & ~
% 201.75/27.06 | | | | | | | | | | | | | | | | | elem(all_65_16, all_89_1)
% 201.75/27.06 | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | ALPHA: (243) implies:
% 201.75/27.06 | | | | | | | | | | | | | | | | | (244) ~ elem(all_65_16, all_89_1)
% 201.75/27.06 | | | | | | | | | | | | | | | | | (245) queue(nbr_proc) = all_89_1
% 201.75/27.06 | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_65_17, all_89_1,
% 201.75/27.06 | | | | | | | | | | | | | | | | | nbr_proc, simplifying with (33), (245) gives:
% 201.75/27.06 | | | | | | | | | | | | | | | | | (246) all_89_1 = all_65_17
% 201.75/27.06 | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | REDUCE: (244), (246) imply:
% 201.75/27.06 | | | | | | | | | | | | | | | | | (247) ~ elem(all_65_16, all_65_17)
% 201.75/27.06 | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | PRED_UNIFY: (70), (247) imply:
% 201.75/27.06 | | | | | | | | | | | | | | | | | (248) $false
% 201.75/27.06 | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | | CLOSE: (248) is inconsistent.
% 201.75/27.06 | | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | End of split
% 201.75/27.06 | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | Case 2:
% 201.75/27.06 | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | (249) queue(nbr_proc) = all_94_1 & $i(all_94_1) & ~
% 201.75/27.06 | | | | | | | | | | | | | | | | elem(all_65_2, all_94_1)
% 201.75/27.06 | | | | | | | | | | | | | | | |
% 201.75/27.06 | | | | | | | | | | | | | | | | ALPHA: (249) implies:
% 201.75/27.07 | | | | | | | | | | | | | | | | (250) ~ elem(all_65_2, all_94_1)
% 201.75/27.07 | | | | | | | | | | | | | | | | (251) queue(nbr_proc) = all_94_1
% 201.75/27.07 | | | | | | | | | | | | | | | |
% 201.75/27.07 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_65_17, all_94_1,
% 201.75/27.07 | | | | | | | | | | | | | | | | nbr_proc, simplifying with (33), (251) gives:
% 201.75/27.07 | | | | | | | | | | | | | | | | (252) all_94_1 = all_65_17
% 201.75/27.07 | | | | | | | | | | | | | | | |
% 201.75/27.07 | | | | | | | | | | | | | | | | REDUCE: (250), (252) imply:
% 201.75/27.07 | | | | | | | | | | | | | | | | (253) ~ elem(all_65_2, all_65_17)
% 201.75/27.07 | | | | | | | | | | | | | | | |
% 201.75/27.07 | | | | | | | | | | | | | | | | PRED_UNIFY: (69), (253) imply:
% 201.75/27.07 | | | | | | | | | | | | | | | | (254) $false
% 201.75/27.07 | | | | | | | | | | | | | | | |
% 201.75/27.07 | | | | | | | | | | | | | | | | CLOSE: (254) is inconsistent.
% 201.75/27.07 | | | | | | | | | | | | | | | |
% 201.75/27.07 | | | | | | | | | | | | | | | End of split
% 201.75/27.07 | | | | | | | | | | | | | | |
% 201.75/27.07 | | | | | | | | | | | | | | End of split
% 201.75/27.07 | | | | | | | | | | | | | |
% 201.75/27.07 | | | | | | | | | | | | | Case 2:
% 201.75/27.07 | | | | | | | | | | | | | |
% 201.75/27.07 | | | | | | | | | | | | | | (255) (queue(all_65_8) = all_302_1 & $i(all_302_1) & ~
% 201.75/27.07 | | | | | | | | | | | | | | elem(all_65_1, all_302_1)) | (queue(nbr_proc) =
% 201.75/27.07 | | | | | | | | | | | | | | all_302_0 & $i(all_302_0) & ~ elem(all_65_2,
% 201.75/27.07 | | | | | | | | | | | | | | all_302_0))
% 201.75/27.07 | | | | | | | | | | | | | |
% 201.75/27.07 | | | | | | | | | | | | | | BETA: splitting (255) gives:
% 201.75/27.07 | | | | | | | | | | | | | |
% 201.75/27.07 | | | | | | | | | | | | | | Case 1:
% 201.75/27.07 | | | | | | | | | | | | | | |
% 201.75/27.07 | | | | | | | | | | | | | | | (256) queue(all_65_8) = all_302_1 & $i(all_302_1) & ~
% 201.75/27.07 | | | | | | | | | | | | | | | elem(all_65_1, all_302_1)
% 201.75/27.07 | | | | | | | | | | | | | | |
% 201.75/27.07 | | | | | | | | | | | | | | | ALPHA: (256) implies:
% 201.75/27.07 | | | | | | | | | | | | | | | (257) ~ elem(all_65_1, all_302_1)
% 201.75/27.07 | | | | | | | | | | | | | | | (258) queue(all_65_8) = all_302_1
% 201.75/27.07 | | | | | | | | | | | | | | |
% 201.75/27.07 | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_65_7, all_302_1,
% 201.75/27.07 | | | | | | | | | | | | | | | all_65_8, simplifying with (34), (258) gives:
% 201.75/27.07 | | | | | | | | | | | | | | | (259) all_302_1 = all_65_7
% 201.75/27.07 | | | | | | | | | | | | | | |
% 201.75/27.07 | | | | | | | | | | | | | | | REDUCE: (257), (259) imply:
% 201.75/27.07 | | | | | | | | | | | | | | | (260) ~ elem(all_65_1, all_65_7)
% 201.75/27.07 | | | | | | | | | | | | | | |
% 201.75/27.07 | | | | | | | | | | | | | | | PRED_UNIFY: (21), (260) imply:
% 201.75/27.07 | | | | | | | | | | | | | | | (261) $false
% 201.75/27.07 | | | | | | | | | | | | | | |
% 201.75/27.07 | | | | | | | | | | | | | | | CLOSE: (261) is inconsistent.
% 201.75/27.07 | | | | | | | | | | | | | | |
% 201.75/27.07 | | | | | | | | | | | | | | Case 2:
% 201.75/27.07 | | | | | | | | | | | | | | |
% 201.75/27.07 | | | | | | | | | | | | | | | (262) queue(nbr_proc) = all_302_0 & $i(all_302_0) & ~
% 201.75/27.07 | | | | | | | | | | | | | | | elem(all_65_2, all_302_0)
% 201.75/27.07 | | | | | | | | | | | | | | |
% 201.75/27.07 | | | | | | | | | | | | | | | ALPHA: (262) implies:
% 201.75/27.07 | | | | | | | | | | | | | | | (263) ~ elem(all_65_2, all_302_0)
% 201.75/27.07 | | | | | | | | | | | | | | | (264) queue(nbr_proc) = all_302_0
% 201.75/27.07 | | | | | | | | | | | | | | |
% 201.75/27.07 | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_65_17, all_302_0,
% 201.75/27.07 | | | | | | | | | | | | | | | nbr_proc, simplifying with (33), (264) gives:
% 201.75/27.07 | | | | | | | | | | | | | | | (265) all_302_0 = all_65_17
% 201.75/27.07 | | | | | | | | | | | | | | |
% 201.75/27.07 | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_98_1, all_302_0,
% 201.75/27.07 | | | | | | | | | | | | | | | nbr_proc, simplifying with (93), (264) gives:
% 201.75/27.07 | | | | | | | | | | | | | | | (266) all_302_0 = all_98_1
% 201.75/27.07 | | | | | | | | | | | | | | |
% 201.75/27.07 | | | | | | | | | | | | | | | COMBINE_EQS: (265), (266) imply:
% 201.75/27.07 | | | | | | | | | | | | | | | (267) all_98_1 = all_65_17
% 201.75/27.07 | | | | | | | | | | | | | | |
% 201.75/27.07 | | | | | | | | | | | | | | | REDUCE: (263), (265) imply:
% 201.75/27.07 | | | | | | | | | | | | | | | (268) ~ elem(all_65_2, all_65_17)
% 201.75/27.07 | | | | | | | | | | | | | | |
% 201.75/27.07 | | | | | | | | | | | | | | | PRED_UNIFY: (69), (268) imply:
% 201.75/27.07 | | | | | | | | | | | | | | | (269) $false
% 201.75/27.07 | | | | | | | | | | | | | | |
% 201.75/27.07 | | | | | | | | | | | | | | | CLOSE: (269) is inconsistent.
% 201.75/27.07 | | | | | | | | | | | | | | |
% 201.75/27.07 | | | | | | | | | | | | | | End of split
% 201.75/27.07 | | | | | | | | | | | | | |
% 201.75/27.07 | | | | | | | | | | | | | End of split
% 201.75/27.07 | | | | | | | | | | | | |
% 201.75/27.07 | | | | | | | | | | | | End of split
% 201.75/27.07 | | | | | | | | | | | |
% 201.75/27.07 | | | | | | | | | | | End of split
% 201.75/27.07 | | | | | | | | | | |
% 201.75/27.07 | | | | | | | | | | Case 2:
% 201.75/27.07 | | | | | | | | | | |
% 201.75/27.07 | | | | | | | | | | | (270) ( ~ (all_129_2 = nbr_proc) & host(all_65_6) =
% 201.75/27.07 | | | | | | | | | | | all_129_2 & $i(all_129_2)) | (queue(all_65_8) =
% 201.75/27.07 | | | | | | | | | | | all_129_1 & $i(all_129_1) & ~ elem(all_65_1,
% 201.75/27.07 | | | | | | | | | | | all_129_1))
% 201.75/27.07 | | | | | | | | | | |
% 201.75/27.07 | | | | | | | | | | | BETA: splitting (270) gives:
% 201.75/27.07 | | | | | | | | | | |
% 201.75/27.07 | | | | | | | | | | | Case 1:
% 201.75/27.07 | | | | | | | | | | | |
% 201.75/27.07 | | | | | | | | | | | | (271) ~ (all_129_2 = nbr_proc) & host(all_65_6) =
% 201.75/27.07 | | | | | | | | | | | | all_129_2 & $i(all_129_2)
% 201.75/27.07 | | | | | | | | | | | |
% 201.75/27.07 | | | | | | | | | | | | ALPHA: (271) implies:
% 201.75/27.07 | | | | | | | | | | | | (272) ~ (all_129_2 = nbr_proc)
% 201.75/27.07 | | | | | | | | | | | | (273) host(all_65_6) = all_129_2
% 201.75/27.07 | | | | | | | | | | | |
% 201.75/27.07 | | | | | | | | | | | | GROUND_INST: instantiating (10) with nbr_proc, all_129_2,
% 201.75/27.07 | | | | | | | | | | | | all_65_6, simplifying with (38), (273) gives:
% 201.75/27.07 | | | | | | | | | | | | (274) all_129_2 = nbr_proc
% 201.75/27.07 | | | | | | | | | | | |
% 201.75/27.07 | | | | | | | | | | | | REDUCE: (272), (274) imply:
% 201.75/27.07 | | | | | | | | | | | | (275) $false
% 201.75/27.07 | | | | | | | | | | | |
% 201.75/27.07 | | | | | | | | | | | | CLOSE: (275) is inconsistent.
% 201.75/27.07 | | | | | | | | | | | |
% 201.75/27.07 | | | | | | | | | | | Case 2:
% 201.75/27.07 | | | | | | | | | | | |
% 201.75/27.07 | | | | | | | | | | | | (276) queue(all_65_8) = all_129_1 & $i(all_129_1) & ~
% 201.75/27.07 | | | | | | | | | | | | elem(all_65_1, all_129_1)
% 201.75/27.07 | | | | | | | | | | | |
% 201.75/27.07 | | | | | | | | | | | | ALPHA: (276) implies:
% 201.75/27.07 | | | | | | | | | | | | (277) ~ elem(all_65_1, all_129_1)
% 201.75/27.07 | | | | | | | | | | | | (278) queue(all_65_8) = all_129_1
% 201.75/27.07 | | | | | | | | | | | |
% 201.75/27.07 | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_65_7, all_129_1,
% 201.75/27.07 | | | | | | | | | | | | all_65_8, simplifying with (34), (278) gives:
% 201.75/27.07 | | | | | | | | | | | | (279) all_129_1 = all_65_7
% 201.75/27.07 | | | | | | | | | | | |
% 201.75/27.07 | | | | | | | | | | | | REDUCE: (277), (279) imply:
% 201.75/27.07 | | | | | | | | | | | | (280) ~ elem(all_65_1, all_65_7)
% 201.75/27.07 | | | | | | | | | | | |
% 201.75/27.07 | | | | | | | | | | | | PRED_UNIFY: (21), (280) imply:
% 201.75/27.07 | | | | | | | | | | | | (281) $false
% 201.75/27.07 | | | | | | | | | | | |
% 201.75/27.07 | | | | | | | | | | | | CLOSE: (281) is inconsistent.
% 201.75/27.07 | | | | | | | | | | | |
% 201.75/27.07 | | | | | | | | | | | End of split
% 201.75/27.07 | | | | | | | | | | |
% 201.75/27.07 | | | | | | | | | | End of split
% 201.75/27.07 | | | | | | | | | |
% 201.75/27.07 | | | | | | | | | End of split
% 201.75/27.07 | | | | | | | | |
% 201.75/27.07 | | | | | | | | Case 2:
% 201.75/27.07 | | | | | | | | |
% 201.75/27.07 | | | | | | | | | (282) queue(all_65_8) = all_213_1 & $i(all_213_1) & ~
% 201.75/27.07 | | | | | | | | | elem(all_65_1, all_213_1)
% 201.75/27.07 | | | | | | | | |
% 201.75/27.07 | | | | | | | | | ALPHA: (282) implies:
% 201.75/27.07 | | | | | | | | | (283) ~ elem(all_65_1, all_213_1)
% 201.75/27.07 | | | | | | | | | (284) queue(all_65_8) = all_213_1
% 201.75/27.07 | | | | | | | | |
% 201.75/27.07 | | | | | | | | | GROUND_INST: instantiating (9) with all_65_7, all_213_1,
% 201.75/27.07 | | | | | | | | | all_65_8, simplifying with (34), (284) gives:
% 201.75/27.07 | | | | | | | | | (285) all_213_1 = all_65_7
% 201.75/27.07 | | | | | | | | |
% 201.75/27.07 | | | | | | | | | REDUCE: (283), (285) imply:
% 201.75/27.07 | | | | | | | | | (286) ~ elem(all_65_1, all_65_7)
% 201.75/27.07 | | | | | | | | |
% 201.75/27.07 | | | | | | | | | PRED_UNIFY: (21), (286) imply:
% 201.75/27.07 | | | | | | | | | (287) $false
% 201.75/27.07 | | | | | | | | |
% 201.75/27.07 | | | | | | | | | CLOSE: (287) is inconsistent.
% 201.75/27.07 | | | | | | | | |
% 201.75/27.07 | | | | | | | | End of split
% 201.75/27.07 | | | | | | | |
% 201.75/27.07 | | | | | | | End of split
% 201.75/27.07 | | | | | | |
% 201.75/27.07 | | | | | | End of split
% 201.75/27.07 | | | | | |
% 201.75/27.07 | | | | | End of split
% 201.75/27.07 | | | | |
% 201.75/27.07 | | | | Case 2:
% 201.75/27.07 | | | | |
% 201.75/27.07 | | | | | (288) ( ~ (all_119_2 = nbr_proc) & host(all_65_6) = all_119_2 &
% 201.75/27.07 | | | | | $i(all_119_2)) | (queue(all_65_8) = all_119_1 &
% 201.75/27.07 | | | | | $i(all_119_1) & ~ elem(all_65_1, all_119_1))
% 201.75/27.07 | | | | |
% 201.75/27.07 | | | | | BETA: splitting (288) gives:
% 201.75/27.07 | | | | |
% 201.75/27.07 | | | | | Case 1:
% 201.75/27.07 | | | | | |
% 201.75/27.07 | | | | | | (289) ~ (all_119_2 = nbr_proc) & host(all_65_6) = all_119_2 &
% 201.75/27.07 | | | | | | $i(all_119_2)
% 201.75/27.07 | | | | | |
% 201.75/27.07 | | | | | | ALPHA: (289) implies:
% 201.75/27.07 | | | | | | (290) ~ (all_119_2 = nbr_proc)
% 201.75/27.07 | | | | | | (291) host(all_65_6) = all_119_2
% 201.75/27.07 | | | | | |
% 201.75/27.07 | | | | | | GROUND_INST: instantiating (10) with nbr_proc, all_119_2, all_65_6,
% 201.75/27.07 | | | | | | simplifying with (38), (291) gives:
% 201.75/27.07 | | | | | | (292) all_119_2 = nbr_proc
% 201.75/27.07 | | | | | |
% 201.75/27.07 | | | | | | REDUCE: (290), (292) imply:
% 201.75/27.07 | | | | | | (293) $false
% 201.75/27.07 | | | | | |
% 201.75/27.07 | | | | | | CLOSE: (293) is inconsistent.
% 201.75/27.07 | | | | | |
% 201.75/27.07 | | | | | Case 2:
% 201.75/27.07 | | | | | |
% 201.75/27.07 | | | | | | (294) queue(all_65_8) = all_119_1 & $i(all_119_1) & ~
% 201.75/27.07 | | | | | | elem(all_65_1, all_119_1)
% 201.75/27.07 | | | | | |
% 201.75/27.07 | | | | | | ALPHA: (294) implies:
% 201.75/27.07 | | | | | | (295) ~ elem(all_65_1, all_119_1)
% 201.75/27.07 | | | | | | (296) queue(all_65_8) = all_119_1
% 201.75/27.07 | | | | | |
% 201.75/27.07 | | | | | | GROUND_INST: instantiating (9) with all_65_7, all_119_1, all_65_8,
% 201.75/27.07 | | | | | | simplifying with (34), (296) gives:
% 201.75/27.07 | | | | | | (297) all_119_1 = all_65_7
% 201.75/27.07 | | | | | |
% 201.75/27.07 | | | | | | REDUCE: (295), (297) imply:
% 201.75/27.07 | | | | | | (298) ~ elem(all_65_1, all_65_7)
% 201.75/27.07 | | | | | |
% 201.75/27.07 | | | | | | PRED_UNIFY: (21), (298) imply:
% 201.75/27.07 | | | | | | (299) $false
% 201.75/27.07 | | | | | |
% 201.75/27.07 | | | | | | CLOSE: (299) is inconsistent.
% 201.75/27.07 | | | | | |
% 201.75/27.07 | | | | | End of split
% 201.75/27.07 | | | | |
% 201.75/27.07 | | | | End of split
% 201.75/27.07 | | | |
% 201.75/27.07 | | | End of split
% 201.75/27.07 | | |
% 201.75/27.07 | | End of split
% 201.75/27.07 | |
% 201.75/27.07 | End of split
% 201.75/27.07 |
% 201.75/27.07 End of proof
% 201.75/27.07 % SZS output end Proof for theBenchmark
% 201.75/27.07
% 201.75/27.07 26484ms
%------------------------------------------------------------------------------