TSTP Solution File: SWV471+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWV471+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n007.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 : 600s
% DateTime : Wed Jul 20 17:51:41 EDT 2022
% Result : Theorem 257.83s 187.36s
% Output : Proof 262.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWV471+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.14 % Command : ePrincess-casc -timeout=%d %s
% 0.15/0.35 % Computer : n007.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Wed Jun 15 19:10:56 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.64/0.65 ____ _
% 0.64/0.65 ___ / __ \_____(_)___ ________ __________
% 0.64/0.65 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.64/0.65 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.64/0.65 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.64/0.65
% 0.64/0.65 A Theorem Prover for First-Order Logic
% 0.64/0.65 (ePrincess v.1.0)
% 0.64/0.65
% 0.64/0.65 (c) Philipp Rümmer, 2009-2015
% 0.64/0.65 (c) Peter Backeman, 2014-2015
% 0.64/0.65 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.64/0.65 Free software under GNU Lesser General Public License (LGPL).
% 0.64/0.65 Bug reports to peter@backeman.se
% 0.64/0.65
% 0.64/0.65 For more information, visit http://user.uu.se/~petba168/breu/
% 0.64/0.65
% 0.64/0.65 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.73/0.70 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.11/1.09 Prover 0: Preprocessing ...
% 3.83/1.58 Prover 0: Warning: ignoring some quantifiers
% 3.83/1.61 Prover 0: Constructing countermodel ...
% 20.41/5.99 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 20.90/6.08 Prover 1: Preprocessing ...
% 21.77/6.28 Prover 1: Constructing countermodel ...
% 26.55/7.37 Prover 1: gave up
% 26.55/7.37 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 26.55/7.42 Prover 2: Preprocessing ...
% 27.73/7.66 Prover 2: Warning: ignoring some quantifiers
% 27.89/7.67 Prover 2: Constructing countermodel ...
% 33.27/9.06 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 33.77/9.12 Prover 3: Preprocessing ...
% 34.30/9.23 Prover 3: Warning: ignoring some quantifiers
% 34.30/9.23 Prover 3: Constructing countermodel ...
% 37.55/10.05 Prover 3: gave up
% 37.55/10.05 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete
% 37.74/10.08 Prover 4: Preprocessing ...
% 38.58/10.29 Prover 4: Warning: ignoring some quantifiers
% 38.58/10.30 Prover 4: Constructing countermodel ...
% 43.87/12.30 Prover 0: stopped
% 44.24/12.50 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 44.55/12.55 Prover 5: Preprocessing ...
% 45.04/12.68 Prover 5: Constructing countermodel ...
% 61.78/25.50 Prover 5: stopped
% 61.98/25.70 Prover 6: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 62.12/25.75 Prover 6: Preprocessing ...
% 62.81/25.89 Prover 6: Warning: ignoring some quantifiers
% 62.81/25.90 Prover 6: Constructing countermodel ...
% 139.63/95.87 Prover 2: stopped
% 139.83/96.07 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximalOutermost -resolutionMethod=normal -ignoreQuantifiers -generateTriggers=all
% 139.88/96.10 Prover 7: Preprocessing ...
% 140.09/96.15 Prover 7: Proving ...
% 192.65/136.73 Prover 4: stopped
% 192.85/136.93 Prover 8: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal -ignoreQuantifiers -generateTriggers=all
% 193.17/137.01 Prover 8: Preprocessing ...
% 193.41/137.09 Prover 8: Constructing countermodel ...
% 202.22/143.06 Prover 8: gave up
% 202.22/143.06 Prover 9: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=normal -ignoreQuantifiers -generateTriggers=completeFrugal
% 202.40/143.09 Prover 9: Preprocessing ...
% 202.80/143.15 Prover 9: Proving ...
% 218.76/157.47 Prover 9: stopped
% 219.06/157.67 Prover 10: Options: -triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 219.15/157.72 Prover 10: Preprocessing ...
% 219.33/157.79 Prover 10: Warning: ignoring some quantifiers
% 219.33/157.79 Prover 10: Constructing countermodel ...
% 256.78/186.88 Prover 6: stopped
% 256.99/187.08 Prover 11: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 257.11/187.14 Prover 11: Preprocessing ...
% 257.29/187.19 Prover 11: Warning: ignoring some quantifiers
% 257.29/187.20 Prover 11: Constructing countermodel ...
% 257.83/187.36 Prover 11: proved (278ms)
% 257.83/187.36 Prover 7: stopped
% 257.83/187.36 Prover 10: stopped
% 257.83/187.36
% 257.83/187.36 No countermodel exists, formula is valid
% 257.83/187.36 % SZS status Theorem for theBenchmark
% 257.83/187.36
% 257.83/187.36 Generating proof ... Warning: ignoring some quantifiers
% 262.54/188.85 found it (size 57)
% 262.54/188.85
% 262.54/188.85 % SZS output start Proof for theBenchmark
% 262.54/188.86 Assumed formulas after preprocessing and simplification:
% 262.54/188.86 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ( ~ (v4 = nbr_proc) & ~ (norm = wait) & ~ (norm = elec_1) & ~ (norm = elec_2) & ~ (wait = elec_1) & ~ (wait = elec_2) & ~ (elec_1 = elec_2) & index(down, nbr_proc) = v12 & index(status, nbr_proc) = elec_1 & snoc(v15, v7) = v16 & cons(v6, v1) = v5 & m_Down(v10) = v14 & m_Down(v9) = v17 & m_Halt(v3) = v6 & s(zero) = v0 & m_Ack(v3, v2) = v7 & host(v11) = nbr_proc & host(v10) = v13 & host(v9) = nbr_proc & host(v8) = v4 & host(v3) = nbr_proc & host(v2) = v4 & queue(v4) = v5 & queue(nbr_proc) = v15 & ordered(q_nil) & leq(v0, nbr_proc) & setIn(v8, alive) & setIn(v2, alive) & elem(v17, v1) & elem(v14, v16) & ~ setIn(nil, alive) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v23 = v22 | ~ (m_Down(v21) = v24) | ~ (m_Down(v19) = v25) | ~ (host(v20) = v22) | ~ (host(v18) = v23) | ~ setIn(v20, alive) | ~ setIn(v18, alive) | ? [v26] : (( ~ (v26 = v23) & host(v19) = v26) | ( ~ (v26 = v22) & host(v21) = v26) | (queue(v23) = v26 & ~ elem(v24, v26)) | (queue(v22) = v26 & ~ elem(v25, v26)))) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v23 = v22 | ~ (m_Down(v21) = v24) | ~ (host(v20) = v22) | ~ (host(v19) = v23) | ~ (host(v18) = v23) | ~ setIn(v20, alive) | ~ setIn(v18, alive) | ? [v25] : (( ~ (v25 = v22) & host(v21) = v25) | (index(down, v22) = v25 & ~ setIn(v23, v25)) | (queue(v23) = v25 & ~ elem(v24, v25)))) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (m_Down(v20) = v22) | ~ (m_Down(v19) = v23) | ~ (host(v21) = nbr_proc) | ~ (host(v18) = v24) | ~ setIn(v18, alive) | ? [v25] : ? [v26] : ? [v27] : ((v25 = v15 & ~ elem(v22, v15)) | (v25 = v12 & ~ (v27 = v26) & host(v20) = v26 & leq(v0, v27) & ~ leq(nbr_proc, v27) & ~ setIn(v27, v12)) | ( ~ (v25 = nbr_proc) & host(v19) = v25) | (queue(v24) = v25 & ~ elem(v23, v25)))) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v22 = v21 | ~ (m_Down(v18) = v23) | ~ (host(v20) = v21) | ~ (host(v19) = v22) | ~ setIn(v20, alive) | ? [v24] : ? [v25] : (( ~ (v25 = v22) & index(elid, v21) = v24 & host(v24) = v25) | ( ~ (v24 = v21) & host(v18) = v24) | ( ~ (v24 = wait) & index(status, v21) = v24) | (queue(v22) = v24 & ~ elem(v23, v24)))) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v22 = v21 | ~ (m_Down(v18) = v23) | ~ (host(v20) = v21) | ~ (host(v19) = v22) | ~ setIn(v20, alive) | ? [v24] : (( ~ (v24 = v22) & index(ldr, v21) = v24) | ( ~ (v24 = v21) & host(v18) = v24) | ( ~ (v24 = norm) & index(status, v21) = v24) | (queue(v22) = v24 & ~ elem(v23, v24)))) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (cons(v21, v18) = v22) | ~ (m_Down(v20) = v23) | ~ (m_Halt(v19) = v21) | ~ ordered(v22) | ~ elem(v23, v18) | leq(v19, v20) | ? [v24] : ? [v25] : ( ~ (v25 = v24) & host(v20) = v25 & host(v19) = v24)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v21 = v20 | ~ (m_Ack(v19, v21) = v22) | ~ (m_Ack(v18, v20) = v22)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v19 = v18 | ~ (m_Ack(v19, v21) = v22) | ~ (m_Ack(v18, v20) = v22)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (snoc(v20, v19) = v21) | ~ (cons(v18, v21) = v22) | ? [v23] : (snoc(v23, v19) = v22 & cons(v18, v20) = v23)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (snoc(v18, v21) = v22) | ~ (m_Ack(v19, v20) = v21) | ~ ordered(v18) | ordered(v22)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = v18 | v18 = q_nil | ~ (init(v18) = v19) | ~ (snoc(v19, v20) = v21) | ~ (last(v18) = v20)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = v18 | v18 = q_nil | ~ (tail(v18) = v20) | ~ (cons(v19, v20) = v21) | ~ (head(v18) = v19)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v19 = v18 | ~ (index(v21, v20) = v19) | ~ (index(v21, v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v19 = v18 | ~ (snoc(v21, v20) = v19) | ~ (snoc(v21, v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v19 = v18 | ~ (snoc(v20, v19) = v21) | ~ elem(v18, v21) | elem(v18, v20)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v19 = v18 | ~ (cons(v21, v20) = v19) | ~ (cons(v21, v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v19 = v18 | ~ (cons(v19, v20) = v21) | ~ elem(v18, v21) | elem(v18, v20)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v19 = v18 | ~ (m_Ack(v21, v20) = v19) | ~ (m_Ack(v21, v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (snoc(v20, v19) = v21) | ~ elem(v18, v20) | elem(v18, v21)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (snoc(v18, v20) = v21) | ~ (m_Ldr(v19) = v20) | ~ ordered(v18) | ordered(v21)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (cons(v19, v20) = v21) | ~ elem(v18, v20) | elem(v18, v21)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (m_NormQ(v20) = v21) | ~ (m_Ack(v18, v19) = v21)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (m_Ldr(v20) = v21) | ~ (m_Ack(v18, v19) = v21)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (m_Ldr(v19) = v20) | ~ (host(v18) = v21) | ? [v22] : ((host(v19) = v22 & ~ leq(v21, v22)) | (queue(v21) = v22 & ~ elem(v20, v22)))) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (m_NotNorm(v20) = v21) | ~ (m_Ack(v18, v19) = v21)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (m_Down(v20) = v21) | ~ (m_Ack(v18, v19) = v21)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (m_Down(v19) = v20) | ~ (host(v18) = v21) | ? [v22] : (( ~ (v22 = v21) & host(v19) = v22) | (queue(v21) = v22 & ~ elem(v20, v22)))) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (m_Halt(v20) = v21) | ~ (m_Ack(v18, v19) = v21)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (s(v19) = v21) | ~ (s(v18) = v20) | ~ leq(v20, v21) | leq(v18, v19)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (s(v19) = v21) | ~ (s(v18) = v20) | ~ leq(v18, v19) | leq(v20, v21)) & ! [v18] : ! [v19] : ! [v20] : (v20 = v19 | ~ (m_NormQ(v18) = v20) | ~ (m_NormQ(v18) = v19)) & ! [v18] : ! [v19] : ! [v20] : (v20 = v19 | ~ (m_Ldr(v18) = v20) | ~ (m_Ldr(v18) = v19)) & ! [v18] : ! [v19] : ! [v20] : (v20 = v19 | ~ (m_NotNorm(v18) = v20) | ~ (m_NotNorm(v18) = v19)) & ! [v18] : ! [v19] : ! [v20] : (v20 = v19 | ~ (m_Down(v18) = v20) | ~ (m_Down(v18) = v19)) & ! [v18] : ! [v19] : ! [v20] : (v20 = v19 | ~ (m_Halt(v18) = v20) | ~ (m_Halt(v18) = v19)) & ! [v18] : ! [v19] : ! [v20] : (v20 = v19 | ~ (host(v18) = v20) | ~ (host(v18) = v19)) & ! [v18] : ! [v19] : ! [v20] : (v20 = v18 | ~ (s(v19) = v20) | ~ leq(v18, v20) | leq(v18, v19)) & ! [v18] : ! [v19] : ! [v20] : (v19 = v18 | ~ (pidMsg(v20) = v19) | ~ (pidMsg(v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : (v19 = v18 | ~ (init(v20) = v19) | ~ (init(v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : (v19 = v18 | ~ (last(v20) = v19) | ~ (last(v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : (v19 = v18 | ~ (tail(v20) = v19) | ~ (tail(v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : (v19 = v18 | ~ (head(v20) = v19) | ~ (head(v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : (v19 = v18 | ~ (m_NormQ(v20) = v19) | ~ (m_NormQ(v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : (v19 = v18 | ~ (m_NormQ(v19) = v20) | ~ (m_NormQ(v18) = v20)) & ! [v18] : ! [v19] : ! [v20] : (v19 = v18 | ~ (m_Ldr(v20) = v19) | ~ (m_Ldr(v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : (v19 = v18 | ~ (m_Ldr(v19) = v20) | ~ (m_Ldr(v18) = v20)) & ! [v18] : ! [v19] : ! [v20] : (v19 = v18 | ~ (m_NotNorm(v20) = v19) | ~ (m_NotNorm(v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : (v19 = v18 | ~ (m_NotNorm(v19) = v20) | ~ (m_NotNorm(v18) = v20)) & ! [v18] : ! [v19] : ! [v20] : (v19 = v18 | ~ (m_Down(v20) = v19) | ~ (m_Down(v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : (v19 = v18 | ~ (m_Down(v19) = v20) | ~ (m_Down(v18) = v20)) & ! [v18] : ! [v19] : ! [v20] : (v19 = v18 | ~ (m_Halt(v20) = v19) | ~ (m_Halt(v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : (v19 = v18 | ~ (m_Halt(v19) = v20) | ~ (m_Halt(v18) = v20)) & ! [v18] : ! [v19] : ! [v20] : (v19 = v18 | ~ (s(v20) = v19) | ~ (s(v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : (v19 = v18 | ~ (host(v20) = v19) | ~ (host(v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : (v19 = v18 | ~ (host(v19) = v20) | ~ (host(v18) = v20) | ~ setIn(v19, alive) | ~ setIn(v18, alive)) & ! [v18] : ! [v19] : ! [v20] : (v19 = v18 | ~ (queue(v20) = v19) | ~ (queue(v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : ( ~ (snoc(v19, v18) = v20) | ~ ordered(v20) | ordered(v19)) & ! [v18] : ! [v19] : ! [v20] : ( ~ (snoc(v19, v18) = v20) | ~ ordered(v20) | ? [v21] : ? [v22] : (pidMsg(v18) = v21 & host(v21) = v22 & ! [v23] : ! [v24] : ( ~ (pidMsg(v23) = v24) | ~ pidElem(v23) | ~ pidElem(v18) | ~ elem(v23, v19) | leq(v24, v21) | ? [v25] : ( ~ (v25 = v22) & host(v24) = v25)))) & ! [v18] : ! [v19] : ! [v20] : ( ~ (snoc(v19, v18) = v20) | ~ ordered(v19) | ordered(v20) | ? [v21] : ? [v22] : ? [v23] : ? [v24] : (pidMsg(v23) = v24 & pidMsg(v18) = v21 & host(v24) = v22 & host(v21) = v22 & pidElem(v23) & pidElem(v18) & elem(v23, v19) & ~ leq(v24, v21))) & ! [v18] : ! [v19] : ! [v20] : ( ~ (snoc(v19, v18) = v20) | init(v20) = v19) & ! [v18] : ! [v19] : ! [v20] : ( ~ (snoc(v19, v18) = v20) | last(v20) = v18) & ! [v18] : ! [v19] : ! [v20] : ( ~ (snoc(v19, v18) = v20) | elem(v18, v20)) & ! [v18] : ! [v19] : ! [v20] : ( ~ (cons(v18, v19) = v20) | ~ ordered(v20) | ordered(v19)) & ! [v18] : ! [v19] : ! [v20] : ( ~ (cons(v18, v19) = v20) | ~ ordered(v20) | ? [v21] : ? [v22] : (pidMsg(v18) = v21 & host(v21) = v22 & ! [v23] : ! [v24] : ( ~ (pidMsg(v23) = v24) | ~ pidElem(v23) | ~ pidElem(v18) | ~ elem(v23, v19) | leq(v21, v24) | ? [v25] : ( ~ (v25 = v22) & host(v24) = v25)))) & ! [v18] : ! [v19] : ! [v20] : ( ~ (cons(v18, v19) = v20) | ~ ordered(v19) | ordered(v20) | ? [v21] : ? [v22] : ? [v23] : ? [v24] : (pidMsg(v23) = v24 & pidMsg(v18) = v21 & host(v24) = v22 & host(v21) = v22 & pidElem(v23) & pidElem(v18) & elem(v23, v19) & ~ leq(v21, v24))) & ! [v18] : ! [v19] : ! [v20] : ( ~ (cons(v18, v19) = v20) | tail(v20) = v19) & ! [v18] : ! [v19] : ! [v20] : ( ~ (cons(v18, v19) = v20) | head(v20) = v18) & ! [v18] : ! [v19] : ! [v20] : ( ~ (cons(v18, v19) = v20) | elem(v18, v20)) & ! [v18] : ! [v19] : ! [v20] : ( ~ (m_NormQ(v19) = v20) | ~ (m_Ldr(v18) = v20)) & ! [v18] : ! [v19] : ! [v20] : ( ~ (m_NormQ(v19) = v20) | ~ (m_Down(v18) = v20)) & ! [v18] : ! [v19] : ! [v20] : ( ~ (m_NormQ(v18) = v20) | ~ (m_NotNorm(v19) = v20)) & ! [v18] : ! [v19] : ! [v20] : ( ~ (m_NormQ(v18) = v20) | ~ (m_Halt(v19) = v20)) & ! [v18] : ! [v19] : ! [v20] : ( ~ (m_Ldr(v19) = v20) | ~ (m_Down(v18) = v20)) & ! [v18] : ! [v19] : ! [v20] : ( ~ (m_Ldr(v18) = v20) | ~ (m_NotNorm(v19) = v20)) & ! [v18] : ! [v19] : ! [v20] : ( ~ (m_Ldr(v18) = v20) | ~ (m_Halt(v19) = v20)) & ! [v18] : ! [v19] : ! [v20] : ( ~ (m_NotNorm(v19) = v20) | ~ (m_Down(v18) = v20)) & ! [v18] : ! [v19] : ! [v20] : ( ~ (m_NotNorm(v18) = v20) | ~ (m_Halt(v19) = v20)) & ! [v18] : ! [v19] : ! [v20] : ( ~ (m_NotNorm(v18) = v20) | ~ (host(v19) = nbr_proc) | ~ elem(v20, v15)) & ! [v18] : ! [v19] : ! [v20] : ( ~ (m_Down(v18) = v20) | ~ (m_Halt(v19) = v20)) & ! [v18] : ! [v19] : ! [v20] : ( ~ (s(v19) = v20) | ~ leq(v18, v19) | leq(v18, v20)) & ! [v18] : ! [v19] : ! [v20] : ( ~ (m_Ack(v18, v19) = v20) | setIn(v19, pids) | ? [v21] : ? [v22] : (host(v18) = v21 & queue(v21) = v22 & ~ elem(v20, v22))) & ! [v18] : ! [v19] : ! [v20] : ( ~ (m_Ack(v18, v19) = v20) | setIn(v18, pids) | ? [v21] : ? [v22] : (host(v18) = v21 & queue(v21) = v22 & ~ elem(v20, v22))) & ! [v18] : ! [v19] : ! [v20] : ( ~ (host(v19) = v20) | ~ (host(v18) = v20) | ? [v21] : ( ~ (v21 = v20) & s(v20) = v21)) & ! [v18] : ! [v19] : ! [v20] : ( ~ leq(v19, v20) | ~ leq(v18, v19) | leq(v18, v20)) & ! [v18] : ! [v19] : (v19 = v18 | ~ leq(v19, v18) | ~ leq(v18, v19)) & ! [v18] : ! [v19] : ~ (snoc(v19, v18) = q_nil) & ! [v18] : ! [v19] : ( ~ (snoc(q_nil, v18) = v19) | ordered(v19)) & ! [v18] : ! [v19] : ~ (cons(v18, v19) = q_nil) & ! [v18] : ! [v19] : ( ~ (cons(v18, q_nil) = v19) | snoc(q_nil, v18) = v19) & ! [v18] : ! [v19] : ( ~ (cons(v18, q_nil) = v19) | ordered(v19)) & ! [v18] : ! [v19] : ( ~ (m_Down(v19) = v18) | pidElem(v18)) & ! [v18] : ! [v19] : ( ~ (m_Down(v18) = v19) | pidMsg(v19) = v18) & ! [v18] : ! [v19] : ( ~ (m_Halt(v19) = v18) | pidElem(v18)) & ! [v18] : ! [v19] : ( ~ (m_Halt(v18) = v19) | pidMsg(v19) = v18) & ! [v18] : ! [v19] : ( ~ (s(v19) = v18) | leq(v18, v18)) & ! [v18] : ! [v19] : ( ~ (s(v18) = v19) | ~ leq(v19, v18)) & ! [v18] : ! [v19] : ( ~ (host(v18) = v19) | ~ setIn(v18, alive) | ? [v20] : ((v20 = v18 & index(elid, v19) = v18) | ( ~ (v20 = elec_1) & ~ (v20 = elec_2) & index(status, v19) = v20))) & ! [v18] : ! [v19] : ( ~ (host(v18) = v19) | leq(v19, nbr_proc)) & ! [v18] : ! [v19] : ( ~ (host(v18) = v19) | leq(v0, v19)) & ! [v18] : (v18 = v13 | ~ leq(v0, v18) | leq(nbr_proc, v18) | setIn(v18, v12)) & ! [v18] : ( ~ pidElem(v18) | ? [v19] : ? [v20] : ((v20 = v18 & m_Down(v19) = v18) | (v20 = v18 & m_Halt(v19) = v18))) & ! [v18] : ~ setIn(v18, setEmpty) & ! [v18] : ~ elem(v18, q_nil) & ? [v18] : ? [v19] : ? [v20] : index(v19, v18) = v20 & ? [v18] : ? [v19] : ? [v20] : snoc(v19, v18) = v20 & ? [v18] : ? [v19] : ? [v20] : cons(v19, v18) = v20 & ? [v18] : ? [v19] : ? [v20] : m_Ack(v19, v18) = v20 & ? [v18] : ? [v19] : pidMsg(v18) = v19 & ? [v18] : ? [v19] : init(v18) = v19 & ? [v18] : ? [v19] : last(v18) = v19 & ? [v18] : ? [v19] : tail(v18) = v19 & ? [v18] : ? [v19] : head(v18) = v19 & ? [v18] : ? [v19] : m_NormQ(v18) = v19 & ? [v18] : ? [v19] : m_Ldr(v18) = v19 & ? [v18] : ? [v19] : m_NotNorm(v18) = v19 & ? [v18] : ? [v19] : m_Down(v18) = v19 & ? [v18] : ? [v19] : m_Halt(v18) = v19 & ? [v18] : ? [v19] : s(v18) = v19 & ? [v18] : ? [v19] : host(v18) = v19 & ? [v18] : ? [v19] : queue(v18) = v19 & ? [v18] : ? [v19] : (leq(v19, v18) | leq(v18, v19)) & ? [v18] : leq(v18, v18))
% 262.92/188.91 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_0_13_13, all_0_14_14, all_0_15_15, all_0_16_16, all_0_17_17 yields:
% 262.92/188.91 | (1) ~ (all_0_13_13 = nbr_proc) & ~ (norm = wait) & ~ (norm = elec_1) & ~ (norm = elec_2) & ~ (wait = elec_1) & ~ (wait = elec_2) & ~ (elec_1 = elec_2) & index(down, nbr_proc) = all_0_5_5 & index(status, nbr_proc) = elec_1 & snoc(all_0_2_2, all_0_10_10) = all_0_1_1 & cons(all_0_11_11, all_0_16_16) = all_0_12_12 & m_Down(all_0_7_7) = all_0_3_3 & m_Down(all_0_8_8) = all_0_0_0 & m_Halt(all_0_14_14) = all_0_11_11 & s(zero) = all_0_17_17 & m_Ack(all_0_14_14, all_0_15_15) = all_0_10_10 & host(all_0_6_6) = nbr_proc & host(all_0_7_7) = all_0_4_4 & host(all_0_8_8) = nbr_proc & host(all_0_9_9) = all_0_13_13 & host(all_0_14_14) = nbr_proc & host(all_0_15_15) = all_0_13_13 & queue(all_0_13_13) = all_0_12_12 & queue(nbr_proc) = all_0_2_2 & ordered(q_nil) & leq(all_0_17_17, nbr_proc) & setIn(all_0_9_9, alive) & setIn(all_0_15_15, alive) & elem(all_0_0_0, all_0_16_16) & elem(all_0_3_3, all_0_1_1) & ~ setIn(nil, alive) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v5 = v4 | ~ (m_Down(v3) = v6) | ~ (m_Down(v1) = v7) | ~ (host(v2) = v4) | ~ (host(v0) = v5) | ~ setIn(v2, alive) | ~ setIn(v0, alive) | ? [v8] : (( ~ (v8 = v5) & host(v1) = v8) | ( ~ (v8 = v4) & host(v3) = v8) | (queue(v5) = v8 & ~ elem(v6, v8)) | (queue(v4) = v8 & ~ elem(v7, v8)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v5 = v4 | ~ (m_Down(v3) = v6) | ~ (host(v2) = v4) | ~ (host(v1) = v5) | ~ (host(v0) = v5) | ~ setIn(v2, alive) | ~ setIn(v0, alive) | ? [v7] : (( ~ (v7 = v4) & host(v3) = v7) | (index(down, v4) = v7 & ~ setIn(v5, v7)) | (queue(v5) = v7 & ~ elem(v6, v7)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (m_Down(v2) = v4) | ~ (m_Down(v1) = v5) | ~ (host(v3) = nbr_proc) | ~ (host(v0) = v6) | ~ setIn(v0, alive) | ? [v7] : ? [v8] : ? [v9] : ((v7 = all_0_2_2 & ~ elem(v4, all_0_2_2)) | (v7 = all_0_5_5 & ~ (v9 = v8) & host(v2) = v8 & leq(all_0_17_17, v9) & ~ leq(nbr_proc, v9) & ~ setIn(v9, all_0_5_5)) | ( ~ (v7 = nbr_proc) & host(v1) = v7) | (queue(v6) = v7 & ~ elem(v5, v7)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = v3 | ~ (m_Down(v0) = v5) | ~ (host(v2) = v3) | ~ (host(v1) = v4) | ~ setIn(v2, alive) | ? [v6] : ? [v7] : (( ~ (v7 = v4) & index(elid, v3) = v6 & host(v6) = v7) | ( ~ (v6 = v3) & host(v0) = v6) | ( ~ (v6 = wait) & index(status, v3) = v6) | (queue(v4) = v6 & ~ elem(v5, v6)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = v3 | ~ (m_Down(v0) = v5) | ~ (host(v2) = v3) | ~ (host(v1) = v4) | ~ setIn(v2, alive) | ? [v6] : (( ~ (v6 = v4) & index(ldr, v3) = v6) | ( ~ (v6 = v3) & host(v0) = v6) | ( ~ (v6 = norm) & index(status, v3) = v6) | (queue(v4) = v6 & ~ elem(v5, v6)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (cons(v3, v0) = v4) | ~ (m_Down(v2) = v5) | ~ (m_Halt(v1) = v3) | ~ ordered(v4) | ~ elem(v5, v0) | leq(v1, v2) | ? [v6] : ? [v7] : ( ~ (v7 = v6) & host(v2) = v7 & host(v1) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (m_Ack(v1, v3) = v4) | ~ (m_Ack(v0, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (m_Ack(v1, v3) = v4) | ~ (m_Ack(v0, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (snoc(v2, v1) = v3) | ~ (cons(v0, v3) = v4) | ? [v5] : (snoc(v5, v1) = v4 & cons(v0, v2) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (snoc(v0, v3) = v4) | ~ (m_Ack(v1, v2) = v3) | ~ ordered(v0) | ordered(v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | v0 = q_nil | ~ (init(v0) = v1) | ~ (snoc(v1, v2) = v3) | ~ (last(v0) = v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | v0 = q_nil | ~ (tail(v0) = v2) | ~ (cons(v1, v2) = v3) | ~ (head(v0) = v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (index(v3, v2) = v1) | ~ (index(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (snoc(v3, v2) = v1) | ~ (snoc(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (snoc(v2, v1) = v3) | ~ elem(v0, v3) | elem(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cons(v1, v2) = v3) | ~ elem(v0, v3) | elem(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (m_Ack(v3, v2) = v1) | ~ (m_Ack(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (snoc(v2, v1) = v3) | ~ elem(v0, v2) | elem(v0, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (snoc(v0, v2) = v3) | ~ (m_Ldr(v1) = v2) | ~ ordered(v0) | ordered(v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (cons(v1, v2) = v3) | ~ elem(v0, v2) | elem(v0, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (m_NormQ(v2) = v3) | ~ (m_Ack(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (m_Ldr(v2) = v3) | ~ (m_Ack(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (m_Ldr(v1) = v2) | ~ (host(v0) = v3) | ? [v4] : ((host(v1) = v4 & ~ leq(v3, v4)) | (queue(v3) = v4 & ~ elem(v2, v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (m_NotNorm(v2) = v3) | ~ (m_Ack(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (m_Down(v2) = v3) | ~ (m_Ack(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (m_Down(v1) = v2) | ~ (host(v0) = v3) | ? [v4] : (( ~ (v4 = v3) & host(v1) = v4) | (queue(v3) = v4 & ~ elem(v2, v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (m_Halt(v2) = v3) | ~ (m_Ack(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (s(v1) = v3) | ~ (s(v0) = v2) | ~ leq(v2, v3) | leq(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (s(v1) = v3) | ~ (s(v0) = v2) | ~ leq(v0, v1) | leq(v2, v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (m_NormQ(v0) = v2) | ~ (m_NormQ(v0) = v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (m_Ldr(v0) = v2) | ~ (m_Ldr(v0) = v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (m_NotNorm(v0) = v2) | ~ (m_NotNorm(v0) = v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (m_Down(v0) = v2) | ~ (m_Down(v0) = v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (m_Halt(v0) = v2) | ~ (m_Halt(v0) = v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (host(v0) = v2) | ~ (host(v0) = v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (s(v1) = v2) | ~ leq(v0, v2) | leq(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (pidMsg(v2) = v1) | ~ (pidMsg(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (init(v2) = v1) | ~ (init(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (last(v2) = v1) | ~ (last(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tail(v2) = v1) | ~ (tail(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (head(v2) = v1) | ~ (head(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (m_NormQ(v2) = v1) | ~ (m_NormQ(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (m_NormQ(v1) = v2) | ~ (m_NormQ(v0) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (m_Ldr(v2) = v1) | ~ (m_Ldr(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (m_Ldr(v1) = v2) | ~ (m_Ldr(v0) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (m_NotNorm(v2) = v1) | ~ (m_NotNorm(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (m_NotNorm(v1) = v2) | ~ (m_NotNorm(v0) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (m_Down(v2) = v1) | ~ (m_Down(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (m_Down(v1) = v2) | ~ (m_Down(v0) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (m_Halt(v2) = v1) | ~ (m_Halt(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (m_Halt(v1) = v2) | ~ (m_Halt(v0) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (s(v2) = v1) | ~ (s(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (host(v2) = v1) | ~ (host(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (host(v1) = v2) | ~ (host(v0) = v2) | ~ setIn(v1, alive) | ~ setIn(v0, alive)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (queue(v2) = v1) | ~ (queue(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (snoc(v1, v0) = v2) | ~ ordered(v2) | ordered(v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (snoc(v1, v0) = v2) | ~ ordered(v2) | ? [v3] : ? [v4] : (pidMsg(v0) = v3 & host(v3) = v4 & ! [v5] : ! [v6] : ( ~ (pidMsg(v5) = v6) | ~ pidElem(v5) | ~ pidElem(v0) | ~ elem(v5, v1) | leq(v6, v3) | ? [v7] : ( ~ (v7 = v4) & host(v6) = v7)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (snoc(v1, v0) = v2) | ~ ordered(v1) | ordered(v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (pidMsg(v5) = v6 & pidMsg(v0) = v3 & host(v6) = v4 & host(v3) = v4 & pidElem(v5) & pidElem(v0) & elem(v5, v1) & ~ leq(v6, v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (snoc(v1, v0) = v2) | init(v2) = v1) & ! [v0] : ! [v1] : ! [v2] : ( ~ (snoc(v1, v0) = v2) | last(v2) = v0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (snoc(v1, v0) = v2) | elem(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (cons(v0, v1) = v2) | ~ ordered(v2) | ordered(v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (cons(v0, v1) = v2) | ~ ordered(v2) | ? [v3] : ? [v4] : (pidMsg(v0) = v3 & host(v3) = v4 & ! [v5] : ! [v6] : ( ~ (pidMsg(v5) = v6) | ~ pidElem(v5) | ~ pidElem(v0) | ~ elem(v5, v1) | leq(v3, v6) | ? [v7] : ( ~ (v7 = v4) & host(v6) = v7)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (cons(v0, v1) = v2) | ~ ordered(v1) | ordered(v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (pidMsg(v5) = v6 & pidMsg(v0) = v3 & host(v6) = v4 & host(v3) = v4 & pidElem(v5) & pidElem(v0) & elem(v5, v1) & ~ leq(v3, v6))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (cons(v0, v1) = v2) | tail(v2) = v1) & ! [v0] : ! [v1] : ! [v2] : ( ~ (cons(v0, v1) = v2) | head(v2) = v0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (cons(v0, v1) = v2) | elem(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (m_NormQ(v1) = v2) | ~ (m_Ldr(v0) = v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (m_NormQ(v1) = v2) | ~ (m_Down(v0) = v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (m_NormQ(v0) = v2) | ~ (m_NotNorm(v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (m_NormQ(v0) = v2) | ~ (m_Halt(v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (m_Ldr(v1) = v2) | ~ (m_Down(v0) = v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (m_Ldr(v0) = v2) | ~ (m_NotNorm(v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (m_Ldr(v0) = v2) | ~ (m_Halt(v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (m_NotNorm(v1) = v2) | ~ (m_Down(v0) = v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (m_NotNorm(v0) = v2) | ~ (m_Halt(v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (m_NotNorm(v0) = v2) | ~ (host(v1) = nbr_proc) | ~ elem(v2, all_0_2_2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (m_Down(v0) = v2) | ~ (m_Halt(v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (s(v1) = v2) | ~ leq(v0, v1) | leq(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (m_Ack(v0, v1) = v2) | setIn(v1, pids) | ? [v3] : ? [v4] : (host(v0) = v3 & queue(v3) = v4 & ~ elem(v2, v4))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (m_Ack(v0, v1) = v2) | setIn(v0, pids) | ? [v3] : ? [v4] : (host(v0) = v3 & queue(v3) = v4 & ~ elem(v2, v4))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (host(v1) = v2) | ~ (host(v0) = v2) | ? [v3] : ( ~ (v3 = v2) & s(v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ leq(v1, v2) | ~ leq(v0, v1) | leq(v0, v2)) & ! [v0] : ! [v1] : (v1 = v0 | ~ leq(v1, v0) | ~ leq(v0, v1)) & ! [v0] : ! [v1] : ~ (snoc(v1, v0) = q_nil) & ! [v0] : ! [v1] : ( ~ (snoc(q_nil, v0) = v1) | ordered(v1)) & ! [v0] : ! [v1] : ~ (cons(v0, v1) = q_nil) & ! [v0] : ! [v1] : ( ~ (cons(v0, q_nil) = v1) | snoc(q_nil, v0) = v1) & ! [v0] : ! [v1] : ( ~ (cons(v0, q_nil) = v1) | ordered(v1)) & ! [v0] : ! [v1] : ( ~ (m_Down(v1) = v0) | pidElem(v0)) & ! [v0] : ! [v1] : ( ~ (m_Down(v0) = v1) | pidMsg(v1) = v0) & ! [v0] : ! [v1] : ( ~ (m_Halt(v1) = v0) | pidElem(v0)) & ! [v0] : ! [v1] : ( ~ (m_Halt(v0) = v1) | pidMsg(v1) = v0) & ! [v0] : ! [v1] : ( ~ (s(v1) = v0) | leq(v0, v0)) & ! [v0] : ! [v1] : ( ~ (s(v0) = v1) | ~ leq(v1, v0)) & ! [v0] : ! [v1] : ( ~ (host(v0) = v1) | ~ setIn(v0, alive) | ? [v2] : ((v2 = v0 & index(elid, v1) = v0) | ( ~ (v2 = elec_1) & ~ (v2 = elec_2) & index(status, v1) = v2))) & ! [v0] : ! [v1] : ( ~ (host(v0) = v1) | leq(v1, nbr_proc)) & ! [v0] : ! [v1] : ( ~ (host(v0) = v1) | leq(all_0_17_17, v1)) & ! [v0] : (v0 = all_0_4_4 | ~ leq(all_0_17_17, v0) | leq(nbr_proc, v0) | setIn(v0, all_0_5_5)) & ! [v0] : ( ~ pidElem(v0) | ? [v1] : ? [v2] : ((v2 = v0 & m_Down(v1) = v0) | (v2 = v0 & m_Halt(v1) = v0))) & ! [v0] : ~ setIn(v0, setEmpty) & ! [v0] : ~ elem(v0, q_nil) & ? [v0] : ? [v1] : ? [v2] : index(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : snoc(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : cons(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : m_Ack(v1, v0) = v2 & ? [v0] : ? [v1] : pidMsg(v0) = v1 & ? [v0] : ? [v1] : init(v0) = v1 & ? [v0] : ? [v1] : last(v0) = v1 & ? [v0] : ? [v1] : tail(v0) = v1 & ? [v0] : ? [v1] : head(v0) = v1 & ? [v0] : ? [v1] : m_NormQ(v0) = v1 & ? [v0] : ? [v1] : m_Ldr(v0) = v1 & ? [v0] : ? [v1] : m_NotNorm(v0) = v1 & ? [v0] : ? [v1] : m_Down(v0) = v1 & ? [v0] : ? [v1] : m_Halt(v0) = v1 & ? [v0] : ? [v1] : s(v0) = v1 & ? [v0] : ? [v1] : host(v0) = v1 & ? [v0] : ? [v1] : queue(v0) = v1 & ? [v0] : ? [v1] : (leq(v1, v0) | leq(v0, v1)) & ? [v0] : leq(v0, v0)
% 262.92/188.94 |
% 262.92/188.94 | Applying alpha-rule on (1) yields:
% 262.92/188.94 | (2) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (m_Down(v2) = v1) | ~ (m_Down(v2) = v0))
% 262.92/188.94 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (m_Halt(v2) = v3) | ~ (m_Ack(v0, v1) = v3))
% 262.92/188.94 | (4) index(status, nbr_proc) = elec_1
% 262.92/188.94 | (5) ! [v0] : ( ~ pidElem(v0) | ? [v1] : ? [v2] : ((v2 = v0 & m_Down(v1) = v0) | (v2 = v0 & m_Halt(v1) = v0)))
% 262.92/188.94 | (6) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v5 = v4 | ~ (m_Down(v3) = v6) | ~ (m_Down(v1) = v7) | ~ (host(v2) = v4) | ~ (host(v0) = v5) | ~ setIn(v2, alive) | ~ setIn(v0, alive) | ? [v8] : (( ~ (v8 = v5) & host(v1) = v8) | ( ~ (v8 = v4) & host(v3) = v8) | (queue(v5) = v8 & ~ elem(v6, v8)) | (queue(v4) = v8 & ~ elem(v7, v8))))
% 262.92/188.94 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = v3 | ~ (m_Down(v0) = v5) | ~ (host(v2) = v3) | ~ (host(v1) = v4) | ~ setIn(v2, alive) | ? [v6] : ? [v7] : (( ~ (v7 = v4) & index(elid, v3) = v6 & host(v6) = v7) | ( ~ (v6 = v3) & host(v0) = v6) | ( ~ (v6 = wait) & index(status, v3) = v6) | (queue(v4) = v6 & ~ elem(v5, v6))))
% 262.92/188.94 | (8) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (snoc(v2, v1) = v3) | ~ (cons(v0, v3) = v4) | ? [v5] : (snoc(v5, v1) = v4 & cons(v0, v2) = v5))
% 262.92/188.94 | (9) ~ setIn(nil, alive)
% 262.92/188.94 | (10) ! [v0] : ! [v1] : ! [v2] : ( ~ (snoc(v1, v0) = v2) | ~ ordered(v2) | ? [v3] : ? [v4] : (pidMsg(v0) = v3 & host(v3) = v4 & ! [v5] : ! [v6] : ( ~ (pidMsg(v5) = v6) | ~ pidElem(v5) | ~ pidElem(v0) | ~ elem(v5, v1) | leq(v6, v3) | ? [v7] : ( ~ (v7 = v4) & host(v6) = v7))))
% 262.92/188.94 | (11) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (m_Down(v2) = v4) | ~ (m_Down(v1) = v5) | ~ (host(v3) = nbr_proc) | ~ (host(v0) = v6) | ~ setIn(v0, alive) | ? [v7] : ? [v8] : ? [v9] : ((v7 = all_0_2_2 & ~ elem(v4, all_0_2_2)) | (v7 = all_0_5_5 & ~ (v9 = v8) & host(v2) = v8 & leq(all_0_17_17, v9) & ~ leq(nbr_proc, v9) & ~ setIn(v9, all_0_5_5)) | ( ~ (v7 = nbr_proc) & host(v1) = v7) | (queue(v6) = v7 & ~ elem(v5, v7))))
% 262.92/188.94 | (12) setIn(all_0_9_9, alive)
% 262.92/188.94 | (13) ~ (wait = elec_2)
% 262.92/188.94 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (m_Ack(v1, v3) = v4) | ~ (m_Ack(v0, v2) = v4))
% 262.92/188.94 | (15) host(all_0_6_6) = nbr_proc
% 262.92/188.94 | (16) index(down, nbr_proc) = all_0_5_5
% 262.92/188.94 | (17) ! [v0] : ! [v1] : ! [v2] : ( ~ (m_Down(v0) = v2) | ~ (m_Halt(v1) = v2))
% 262.92/188.94 | (18) ! [v0] : ! [v1] : ( ~ (m_Halt(v0) = v1) | pidMsg(v1) = v0)
% 262.92/188.94 | (19) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (index(v3, v2) = v1) | ~ (index(v3, v2) = v0))
% 262.92/188.94 | (20) ? [v0] : ? [v1] : m_Ldr(v0) = v1
% 262.92/188.94 | (21) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (m_Halt(v1) = v2) | ~ (m_Halt(v0) = v2))
% 262.92/188.94 | (22) ! [v0] : ! [v1] : ( ~ (host(v0) = v1) | leq(v1, nbr_proc))
% 262.92/188.94 | (23) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (s(v1) = v3) | ~ (s(v0) = v2) | ~ leq(v0, v1) | leq(v2, v3))
% 262.92/188.94 | (24) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (s(v1) = v3) | ~ (s(v0) = v2) | ~ leq(v2, v3) | leq(v0, v1))
% 262.92/188.94 | (25) ? [v0] : ? [v1] : m_Halt(v0) = v1
% 262.92/188.94 | (26) ~ (norm = wait)
% 262.92/188.94 | (27) host(all_0_14_14) = nbr_proc
% 262.92/188.94 | (28) ! [v0] : ! [v1] : ( ~ (m_Halt(v1) = v0) | pidElem(v0))
% 262.92/188.94 | (29) ? [v0] : ? [v1] : m_NotNorm(v0) = v1
% 262.92/188.94 | (30) ! [v0] : ! [v1] : ! [v2] : ( ~ (m_NormQ(v0) = v2) | ~ (m_Halt(v1) = v2))
% 262.92/188.94 | (31) ! [v0] : ! [v1] : ( ~ (s(v0) = v1) | ~ leq(v1, v0))
% 262.92/188.94 | (32) snoc(all_0_2_2, all_0_10_10) = all_0_1_1
% 262.92/188.94 | (33) ! [v0] : ! [v1] : ! [v2] : ( ~ (m_Ack(v0, v1) = v2) | setIn(v1, pids) | ? [v3] : ? [v4] : (host(v0) = v3 & queue(v3) = v4 & ~ elem(v2, v4)))
% 262.92/188.94 | (34) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (m_Down(v1) = v2) | ~ (m_Down(v0) = v2))
% 262.92/188.95 | (35) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v5 = v4 | ~ (m_Down(v3) = v6) | ~ (host(v2) = v4) | ~ (host(v1) = v5) | ~ (host(v0) = v5) | ~ setIn(v2, alive) | ~ setIn(v0, alive) | ? [v7] : (( ~ (v7 = v4) & host(v3) = v7) | (index(down, v4) = v7 & ~ setIn(v5, v7)) | (queue(v5) = v7 & ~ elem(v6, v7))))
% 262.92/188.95 | (36) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (init(v2) = v1) | ~ (init(v2) = v0))
% 262.92/188.95 | (37) ! [v0] : ! [v1] : ! [v2] : ( ~ (cons(v0, v1) = v2) | ~ ordered(v2) | ordered(v1))
% 262.92/188.95 | (38) m_Ack(all_0_14_14, all_0_15_15) = all_0_10_10
% 262.92/188.95 | (39) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (host(v0) = v2) | ~ (host(v0) = v1))
% 262.92/188.95 | (40) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (snoc(v2, v1) = v3) | ~ elem(v0, v2) | elem(v0, v3))
% 262.92/188.95 | (41) ! [v0] : ! [v1] : ! [v2] : ( ~ (snoc(v1, v0) = v2) | init(v2) = v1)
% 262.92/188.95 | (42) setIn(all_0_15_15, alive)
% 262.92/188.95 | (43) ! [v0] : ! [v1] : ( ~ (cons(v0, q_nil) = v1) | ordered(v1))
% 262.92/188.95 | (44) ~ (norm = elec_2)
% 262.92/188.95 | (45) ! [v0] : ! [v1] : ( ~ (host(v0) = v1) | leq(all_0_17_17, v1))
% 262.92/188.95 | (46) ! [v0] : ! [v1] : ( ~ (m_Down(v1) = v0) | pidElem(v0))
% 262.92/188.95 | (47) m_Halt(all_0_14_14) = all_0_11_11
% 262.92/188.95 | (48) host(all_0_9_9) = all_0_13_13
% 262.92/188.95 | (49) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | v0 = q_nil | ~ (init(v0) = v1) | ~ (snoc(v1, v2) = v3) | ~ (last(v0) = v2))
% 262.92/188.95 | (50) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (snoc(v0, v2) = v3) | ~ (m_Ldr(v1) = v2) | ~ ordered(v0) | ordered(v3))
% 262.92/188.95 | (51) ? [v0] : ? [v1] : (leq(v1, v0) | leq(v0, v1))
% 262.92/188.95 | (52) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (m_NormQ(v2) = v1) | ~ (m_NormQ(v2) = v0))
% 262.92/188.95 | (53) ? [v0] : ? [v1] : ? [v2] : index(v1, v0) = v2
% 262.92/188.95 | (54) ! [v0] : ! [v1] : ! [v2] : ( ~ (cons(v0, v1) = v2) | elem(v0, v2))
% 262.92/188.95 | (55) host(all_0_15_15) = all_0_13_13
% 262.92/188.95 | (56) ! [v0] : ! [v1] : (v1 = v0 | ~ leq(v1, v0) | ~ leq(v0, v1))
% 262.92/188.95 | (57) ! [v0] : ! [v1] : ! [v2] : ( ~ (m_NotNorm(v0) = v2) | ~ (host(v1) = nbr_proc) | ~ elem(v2, all_0_2_2))
% 262.92/188.95 | (58) ? [v0] : ? [v1] : ? [v2] : cons(v1, v0) = v2
% 262.92/188.95 | (59) ! [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (s(v1) = v2) | ~ leq(v0, v2) | leq(v0, v1))
% 262.92/188.95 | (60) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (cons(v3, v0) = v4) | ~ (m_Down(v2) = v5) | ~ (m_Halt(v1) = v3) | ~ ordered(v4) | ~ elem(v5, v0) | leq(v1, v2) | ? [v6] : ? [v7] : ( ~ (v7 = v6) & host(v2) = v7 & host(v1) = v6))
% 262.92/188.95 | (61) ! [v0] : ! [v1] : ( ~ (m_Down(v0) = v1) | pidMsg(v1) = v0)
% 262.92/188.95 | (62) elem(all_0_0_0, all_0_16_16)
% 262.92/188.95 | (63) ! [v0] : ! [v1] : ! [v2] : ( ~ (s(v1) = v2) | ~ leq(v0, v1) | leq(v0, v2))
% 262.92/188.95 | (64) ! [v0] : ~ elem(v0, q_nil)
% 262.92/188.95 | (65) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = v3 | ~ (m_Down(v0) = v5) | ~ (host(v2) = v3) | ~ (host(v1) = v4) | ~ setIn(v2, alive) | ? [v6] : (( ~ (v6 = v4) & index(ldr, v3) = v6) | ( ~ (v6 = v3) & host(v0) = v6) | ( ~ (v6 = norm) & index(status, v3) = v6) | (queue(v4) = v6 & ~ elem(v5, v6))))
% 262.92/188.95 | (66) ! [v0] : ! [v1] : ! [v2] : ( ~ (m_Ack(v0, v1) = v2) | setIn(v0, pids) | ? [v3] : ? [v4] : (host(v0) = v3 & queue(v3) = v4 & ~ elem(v2, v4)))
% 262.92/188.95 | (67) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (pidMsg(v2) = v1) | ~ (pidMsg(v2) = v0))
% 262.92/188.95 | (68) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (m_NotNorm(v2) = v1) | ~ (m_NotNorm(v2) = v0))
% 262.92/188.95 | (69) ! [v0] : ! [v1] : ! [v2] : ( ~ (m_NormQ(v1) = v2) | ~ (m_Ldr(v0) = v2))
% 262.92/188.95 | (70) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (m_Ldr(v0) = v2) | ~ (m_Ldr(v0) = v1))
% 262.92/188.95 | (71) ? [v0] : ? [v1] : ? [v2] : m_Ack(v1, v0) = v2
% 262.92/188.95 | (72) ! [v0] : ~ setIn(v0, setEmpty)
% 262.92/188.95 | (73) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (host(v1) = v2) | ~ (host(v0) = v2) | ~ setIn(v1, alive) | ~ setIn(v0, alive))
% 262.92/188.95 | (74) queue(nbr_proc) = all_0_2_2
% 262.92/188.95 | (75) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (m_Halt(v0) = v2) | ~ (m_Halt(v0) = v1))
% 262.92/188.95 | (76) ? [v0] : ? [v1] : pidMsg(v0) = v1
% 262.92/188.95 | (77) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cons(v1, v2) = v3) | ~ elem(v0, v3) | elem(v0, v2))
% 262.92/188.96 | (78) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (m_Ack(v3, v2) = v1) | ~ (m_Ack(v3, v2) = v0))
% 262.92/188.96 | (79) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (m_Ack(v1, v3) = v4) | ~ (m_Ack(v0, v2) = v4))
% 262.92/188.96 | (80) ! [v0] : ! [v1] : ! [v2] : ( ~ leq(v1, v2) | ~ leq(v0, v1) | leq(v0, v2))
% 262.92/188.96 | (81) ! [v0] : ! [v1] : ! [v2] : ( ~ (host(v1) = v2) | ~ (host(v0) = v2) | ? [v3] : ( ~ (v3 = v2) & s(v2) = v3))
% 262.92/188.96 | (82) ~ (elec_1 = elec_2)
% 262.92/188.96 | (83) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (snoc(v3, v2) = v1) | ~ (snoc(v3, v2) = v0))
% 262.92/188.96 | (84) ! [v0] : ! [v1] : ( ~ (cons(v0, q_nil) = v1) | snoc(q_nil, v0) = v1)
% 262.92/188.96 | (85) ? [v0] : ? [v1] : queue(v0) = v1
% 262.92/188.96 | (86) ~ (wait = elec_1)
% 262.92/188.96 | (87) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (m_NormQ(v0) = v2) | ~ (m_NormQ(v0) = v1))
% 262.92/188.96 | (88) host(all_0_7_7) = all_0_4_4
% 262.92/188.96 | (89) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tail(v2) = v1) | ~ (tail(v2) = v0))
% 262.92/188.96 | (90) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (m_NotNorm(v1) = v2) | ~ (m_NotNorm(v0) = v2))
% 262.92/188.96 | (91) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (m_Halt(v2) = v1) | ~ (m_Halt(v2) = v0))
% 262.92/188.96 | (92) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (cons(v1, v2) = v3) | ~ elem(v0, v2) | elem(v0, v3))
% 262.92/188.96 | (93) ! [v0] : (v0 = all_0_4_4 | ~ leq(all_0_17_17, v0) | leq(nbr_proc, v0) | setIn(v0, all_0_5_5))
% 262.92/188.96 | (94) ~ (norm = elec_1)
% 262.92/188.96 | (95) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (m_Ldr(v1) = v2) | ~ (m_Ldr(v0) = v2))
% 262.92/188.96 | (96) ! [v0] : ! [v1] : ! [v2] : ( ~ (m_NotNorm(v0) = v2) | ~ (m_Halt(v1) = v2))
% 262.92/188.96 | (97) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (m_Ldr(v2) = v1) | ~ (m_Ldr(v2) = v0))
% 262.92/188.96 | (98) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (m_NotNorm(v2) = v3) | ~ (m_Ack(v0, v1) = v3))
% 262.92/188.96 | (99) ? [v0] : ? [v1] : head(v0) = v1
% 262.92/188.96 | (100) ! [v0] : ! [v1] : ! [v2] : ( ~ (m_Ldr(v1) = v2) | ~ (m_Down(v0) = v2))
% 262.92/188.96 | (101) ! [v0] : ! [v1] : ( ~ (s(v1) = v0) | leq(v0, v0))
% 262.92/188.96 | (102) m_Down(all_0_7_7) = all_0_3_3
% 262.92/188.96 | (103) queue(all_0_13_13) = all_0_12_12
% 262.92/188.96 | (104) ! [v0] : ! [v1] : ! [v2] : ( ~ (cons(v0, v1) = v2) | ~ ordered(v1) | ordered(v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (pidMsg(v5) = v6 & pidMsg(v0) = v3 & host(v6) = v4 & host(v3) = v4 & pidElem(v5) & pidElem(v0) & elem(v5, v1) & ~ leq(v3, v6)))
% 262.92/188.96 | (105) s(zero) = all_0_17_17
% 262.92/188.96 | (106) ! [v0] : ! [v1] : ! [v2] : ( ~ (snoc(v1, v0) = v2) | elem(v0, v2))
% 262.92/188.96 | (107) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (head(v2) = v1) | ~ (head(v2) = v0))
% 262.92/188.96 | (108) ! [v0] : ! [v1] : ! [v2] : ( ~ (m_Ldr(v0) = v2) | ~ (m_Halt(v1) = v2))
% 262.92/188.96 | (109) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (m_Down(v0) = v2) | ~ (m_Down(v0) = v1))
% 262.92/188.96 | (110) ? [v0] : ? [v1] : m_Down(v0) = v1
% 262.92/188.96 | (111) ! [v0] : ! [v1] : ~ (snoc(v1, v0) = q_nil)
% 262.92/188.96 | (112) ? [v0] : ? [v1] : host(v0) = v1
% 262.92/188.96 | (113) ordered(q_nil)
% 262.92/188.96 | (114) ! [v0] : ! [v1] : ! [v2] : ( ~ (snoc(v1, v0) = v2) | last(v2) = v0)
% 262.92/188.96 | (115) m_Down(all_0_8_8) = all_0_0_0
% 262.92/188.96 | (116) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (m_Ldr(v1) = v2) | ~ (host(v0) = v3) | ? [v4] : ((host(v1) = v4 & ~ leq(v3, v4)) | (queue(v3) = v4 & ~ elem(v2, v4))))
% 262.92/188.96 | (117) host(all_0_8_8) = nbr_proc
% 262.92/188.96 | (118) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (m_NotNorm(v0) = v2) | ~ (m_NotNorm(v0) = v1))
% 262.92/188.96 | (119) ! [v0] : ! [v1] : ! [v2] : ( ~ (m_NotNorm(v1) = v2) | ~ (m_Down(v0) = v2))
% 262.92/188.96 | (120) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (snoc(v0, v3) = v4) | ~ (m_Ack(v1, v2) = v3) | ~ ordered(v0) | ordered(v4))
% 262.92/188.96 | (121) ? [v0] : ? [v1] : tail(v0) = v1
% 262.92/188.96 | (122) ? [v0] : ? [v1] : m_NormQ(v0) = v1
% 262.92/188.96 | (123) ? [v0] : leq(v0, v0)
% 262.92/188.96 | (124) leq(all_0_17_17, nbr_proc)
% 262.92/188.96 | (125) ! [v0] : ! [v1] : ( ~ (host(v0) = v1) | ~ setIn(v0, alive) | ? [v2] : ((v2 = v0 & index(elid, v1) = v0) | ( ~ (v2 = elec_1) & ~ (v2 = elec_2) & index(status, v1) = v2)))
% 262.92/188.96 | (126) ! [v0] : ! [v1] : ! [v2] : ( ~ (snoc(v1, v0) = v2) | ~ ordered(v1) | ordered(v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (pidMsg(v5) = v6 & pidMsg(v0) = v3 & host(v6) = v4 & host(v3) = v4 & pidElem(v5) & pidElem(v0) & elem(v5, v1) & ~ leq(v6, v3)))
% 262.92/188.97 | (127) ! [v0] : ! [v1] : ! [v2] : ( ~ (cons(v0, v1) = v2) | tail(v2) = v1)
% 262.92/188.97 | (128) ? [v0] : ? [v1] : ? [v2] : snoc(v1, v0) = v2
% 262.92/188.97 | (129) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (last(v2) = v1) | ~ (last(v2) = v0))
% 262.92/188.97 | (130) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (host(v2) = v1) | ~ (host(v2) = v0))
% 262.92/188.97 | (131) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (m_Ldr(v2) = v3) | ~ (m_Ack(v0, v1) = v3))
% 262.92/188.97 | (132) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0))
% 262.92/188.97 | (133) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (snoc(v2, v1) = v3) | ~ elem(v0, v3) | elem(v0, v2))
% 262.92/188.97 | (134) ? [v0] : ? [v1] : s(v0) = v1
% 262.92/188.97 | (135) ! [v0] : ! [v1] : ( ~ (snoc(q_nil, v0) = v1) | ordered(v1))
% 262.92/188.97 | (136) ! [v0] : ! [v1] : ~ (cons(v0, v1) = q_nil)
% 262.92/188.97 | (137) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (m_NormQ(v2) = v3) | ~ (m_Ack(v0, v1) = v3))
% 262.92/188.97 | (138) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (m_NormQ(v1) = v2) | ~ (m_NormQ(v0) = v2))
% 262.92/188.97 | (139) elem(all_0_3_3, all_0_1_1)
% 262.92/188.97 | (140) ~ (all_0_13_13 = nbr_proc)
% 262.92/188.97 | (141) ! [v0] : ! [v1] : ! [v2] : ( ~ (cons(v0, v1) = v2) | ~ ordered(v2) | ? [v3] : ? [v4] : (pidMsg(v0) = v3 & host(v3) = v4 & ! [v5] : ! [v6] : ( ~ (pidMsg(v5) = v6) | ~ pidElem(v5) | ~ pidElem(v0) | ~ elem(v5, v1) | leq(v3, v6) | ? [v7] : ( ~ (v7 = v4) & host(v6) = v7))))
% 262.92/188.97 | (142) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | v0 = q_nil | ~ (tail(v0) = v2) | ~ (cons(v1, v2) = v3) | ~ (head(v0) = v1))
% 262.92/188.97 | (143) ! [v0] : ! [v1] : ! [v2] : ( ~ (cons(v0, v1) = v2) | head(v2) = v0)
% 262.92/188.97 | (144) ? [v0] : ? [v1] : init(v0) = v1
% 262.92/188.97 | (145) ! [v0] : ! [v1] : ! [v2] : ( ~ (snoc(v1, v0) = v2) | ~ ordered(v2) | ordered(v1))
% 262.92/188.97 | (146) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (m_Down(v1) = v2) | ~ (host(v0) = v3) | ? [v4] : (( ~ (v4 = v3) & host(v1) = v4) | (queue(v3) = v4 & ~ elem(v2, v4))))
% 262.92/188.97 | (147) cons(all_0_11_11, all_0_16_16) = all_0_12_12
% 262.92/188.97 | (148) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (s(v2) = v1) | ~ (s(v2) = v0))
% 262.92/188.97 | (149) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (queue(v2) = v1) | ~ (queue(v2) = v0))
% 262.92/188.97 | (150) ! [v0] : ! [v1] : ! [v2] : ( ~ (m_NormQ(v1) = v2) | ~ (m_Down(v0) = v2))
% 262.92/188.97 | (151) ! [v0] : ! [v1] : ! [v2] : ( ~ (m_Ldr(v0) = v2) | ~ (m_NotNorm(v1) = v2))
% 262.92/188.97 | (152) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (m_Down(v2) = v3) | ~ (m_Ack(v0, v1) = v3))
% 262.92/188.97 | (153) ! [v0] : ! [v1] : ! [v2] : ( ~ (m_NormQ(v0) = v2) | ~ (m_NotNorm(v1) = v2))
% 262.92/188.97 | (154) ? [v0] : ? [v1] : last(v0) = v1
% 262.92/188.97 |
% 262.92/188.97 | Instantiating formula (152) with all_0_10_10, all_0_7_7, all_0_15_15, all_0_14_14 and discharging atoms m_Ack(all_0_14_14, all_0_15_15) = all_0_10_10, yields:
% 262.92/188.97 | (155) ~ (m_Down(all_0_7_7) = all_0_10_10)
% 262.92/188.97 |
% 262.92/188.97 | Instantiating formula (73) with all_0_13_13, all_0_9_9, all_0_15_15 and discharging atoms host(all_0_9_9) = all_0_13_13, host(all_0_15_15) = all_0_13_13, setIn(all_0_9_9, alive), setIn(all_0_15_15, alive), yields:
% 262.92/188.97 | (156) all_0_9_9 = all_0_15_15
% 262.92/188.97 |
% 262.92/188.97 | From (156) and (48) follows:
% 262.92/188.97 | (55) host(all_0_15_15) = all_0_13_13
% 262.92/188.97 |
% 262.92/188.97 | From (156) and (12) follows:
% 262.92/188.97 | (42) setIn(all_0_15_15, alive)
% 262.92/188.97 |
% 262.92/188.97 | Using (102) and (155) yields:
% 262.92/188.97 | (159) ~ (all_0_3_3 = all_0_10_10)
% 262.92/188.98 |
% 262.92/188.98 | Instantiating formula (146) with nbr_proc, all_0_3_3, all_0_7_7, all_0_14_14 and discharging atoms m_Down(all_0_7_7) = all_0_3_3, host(all_0_14_14) = nbr_proc, yields:
% 262.92/188.98 | (160) ? [v0] : (( ~ (v0 = nbr_proc) & host(all_0_7_7) = v0) | (queue(nbr_proc) = v0 & ~ elem(all_0_3_3, v0)))
% 262.92/188.98 |
% 262.92/188.98 | Instantiating formula (146) with all_0_13_13, all_0_0_0, all_0_8_8, all_0_15_15 and discharging atoms m_Down(all_0_8_8) = all_0_0_0, host(all_0_15_15) = all_0_13_13, yields:
% 262.92/188.98 | (161) ? [v0] : (( ~ (v0 = all_0_13_13) & host(all_0_8_8) = v0) | (queue(all_0_13_13) = v0 & ~ elem(all_0_0_0, v0)))
% 262.92/188.98 |
% 262.92/188.98 | Instantiating formula (11) with all_0_13_13, all_0_0_0, all_0_3_3, all_0_14_14, all_0_7_7, all_0_8_8, all_0_15_15 and discharging atoms m_Down(all_0_7_7) = all_0_3_3, m_Down(all_0_8_8) = all_0_0_0, host(all_0_14_14) = nbr_proc, host(all_0_15_15) = all_0_13_13, setIn(all_0_15_15, alive), yields:
% 262.92/188.98 | (162) ? [v0] : ? [v1] : ? [v2] : ((v0 = all_0_2_2 & ~ elem(all_0_3_3, all_0_2_2)) | (v0 = all_0_5_5 & ~ (v2 = v1) & host(all_0_7_7) = v1 & leq(all_0_17_17, v2) & ~ leq(nbr_proc, v2) & ~ setIn(v2, all_0_5_5)) | ( ~ (v0 = nbr_proc) & host(all_0_8_8) = v0) | (queue(all_0_13_13) = v0 & ~ elem(all_0_0_0, v0)))
% 262.92/188.98 |
% 262.92/188.98 | Instantiating formula (92) with all_0_12_12, all_0_16_16, all_0_11_11, all_0_0_0 and discharging atoms cons(all_0_11_11, all_0_16_16) = all_0_12_12, elem(all_0_0_0, all_0_16_16), yields:
% 262.92/188.98 | (163) elem(all_0_0_0, all_0_12_12)
% 262.92/188.98 |
% 262.92/188.98 | Instantiating formula (133) with all_0_1_1, all_0_2_2, all_0_10_10, all_0_3_3 and discharging atoms snoc(all_0_2_2, all_0_10_10) = all_0_1_1, elem(all_0_3_3, all_0_1_1), yields:
% 262.92/188.98 | (164) all_0_3_3 = all_0_10_10 | elem(all_0_3_3, all_0_2_2)
% 262.92/188.98 |
% 262.92/188.98 | Instantiating (162) with all_55_0_62, all_55_1_63, all_55_2_64 yields:
% 262.92/188.98 | (165) (all_55_2_64 = all_0_2_2 & ~ elem(all_0_3_3, all_0_2_2)) | (all_55_2_64 = all_0_5_5 & ~ (all_55_0_62 = all_55_1_63) & host(all_0_7_7) = all_55_1_63 & leq(all_0_17_17, all_55_0_62) & ~ leq(nbr_proc, all_55_0_62) & ~ setIn(all_55_0_62, all_0_5_5)) | ( ~ (all_55_2_64 = nbr_proc) & host(all_0_8_8) = all_55_2_64) | (queue(all_0_13_13) = all_55_2_64 & ~ elem(all_0_0_0, all_55_2_64))
% 262.92/188.98 |
% 262.92/188.98 | Instantiating (161) with all_81_0_100 yields:
% 262.92/188.98 | (166) ( ~ (all_81_0_100 = all_0_13_13) & host(all_0_8_8) = all_81_0_100) | (queue(all_0_13_13) = all_81_0_100 & ~ elem(all_0_0_0, all_81_0_100))
% 262.92/188.98 |
% 262.92/188.98 | Instantiating (160) with all_86_0_105 yields:
% 262.92/188.98 | (167) ( ~ (all_86_0_105 = nbr_proc) & host(all_0_7_7) = all_86_0_105) | (queue(nbr_proc) = all_86_0_105 & ~ elem(all_0_3_3, all_86_0_105))
% 262.92/188.98 |
% 262.92/188.98 +-Applying beta-rule and splitting (166), into two cases.
% 262.92/188.98 |-Branch one:
% 262.92/188.98 | (168) ~ (all_81_0_100 = all_0_13_13) & host(all_0_8_8) = all_81_0_100
% 262.92/188.98 |
% 262.92/188.98 | Applying alpha-rule on (168) yields:
% 262.92/188.98 | (169) ~ (all_81_0_100 = all_0_13_13)
% 262.92/188.98 | (170) host(all_0_8_8) = all_81_0_100
% 262.92/188.98 |
% 262.92/188.98 +-Applying beta-rule and splitting (164), into two cases.
% 262.92/188.98 |-Branch one:
% 262.92/188.98 | (171) elem(all_0_3_3, all_0_2_2)
% 262.92/188.98 |
% 262.92/188.98 +-Applying beta-rule and splitting (167), into two cases.
% 262.92/188.98 |-Branch one:
% 262.92/188.98 | (172) ~ (all_86_0_105 = nbr_proc) & host(all_0_7_7) = all_86_0_105
% 262.92/188.98 |
% 262.92/188.98 | Applying alpha-rule on (172) yields:
% 262.92/188.98 | (173) ~ (all_86_0_105 = nbr_proc)
% 262.92/188.98 | (174) host(all_0_7_7) = all_86_0_105
% 262.92/188.98 |
% 262.92/188.98 | Instantiating formula (39) with all_86_0_105, all_0_4_4, all_0_7_7 and discharging atoms host(all_0_7_7) = all_86_0_105, host(all_0_7_7) = all_0_4_4, yields:
% 262.92/188.98 | (175) all_86_0_105 = all_0_4_4
% 262.92/188.98 |
% 262.92/188.98 | Instantiating formula (39) with all_81_0_100, nbr_proc, all_0_8_8 and discharging atoms host(all_0_8_8) = all_81_0_100, host(all_0_8_8) = nbr_proc, yields:
% 262.92/188.98 | (176) all_81_0_100 = nbr_proc
% 262.92/188.98 |
% 262.92/188.98 | From (175) and (174) follows:
% 262.92/188.98 | (88) host(all_0_7_7) = all_0_4_4
% 262.92/188.98 |
% 262.92/188.98 | From (176) and (170) follows:
% 262.92/188.98 | (117) host(all_0_8_8) = nbr_proc
% 262.92/188.98 |
% 262.92/188.98 +-Applying beta-rule and splitting (165), into two cases.
% 262.92/188.98 |-Branch one:
% 262.92/188.98 | (179) (all_55_2_64 = all_0_2_2 & ~ elem(all_0_3_3, all_0_2_2)) | (all_55_2_64 = all_0_5_5 & ~ (all_55_0_62 = all_55_1_63) & host(all_0_7_7) = all_55_1_63 & leq(all_0_17_17, all_55_0_62) & ~ leq(nbr_proc, all_55_0_62) & ~ setIn(all_55_0_62, all_0_5_5)) | ( ~ (all_55_2_64 = nbr_proc) & host(all_0_8_8) = all_55_2_64)
% 262.92/188.98 |
% 262.92/188.98 +-Applying beta-rule and splitting (179), into two cases.
% 262.92/188.98 |-Branch one:
% 262.92/188.98 | (180) (all_55_2_64 = all_0_2_2 & ~ elem(all_0_3_3, all_0_2_2)) | (all_55_2_64 = all_0_5_5 & ~ (all_55_0_62 = all_55_1_63) & host(all_0_7_7) = all_55_1_63 & leq(all_0_17_17, all_55_0_62) & ~ leq(nbr_proc, all_55_0_62) & ~ setIn(all_55_0_62, all_0_5_5))
% 262.92/188.98 |
% 262.92/188.98 +-Applying beta-rule and splitting (180), into two cases.
% 262.92/188.98 |-Branch one:
% 262.92/188.98 | (181) all_55_2_64 = all_0_2_2 & ~ elem(all_0_3_3, all_0_2_2)
% 262.92/188.98 |
% 262.92/188.98 | Applying alpha-rule on (181) yields:
% 262.92/188.98 | (182) all_55_2_64 = all_0_2_2
% 262.92/188.98 | (183) ~ elem(all_0_3_3, all_0_2_2)
% 262.92/188.98 |
% 262.92/188.98 | Using (171) and (183) yields:
% 262.92/188.98 | (184) $false
% 262.92/188.98 |
% 262.92/188.98 |-The branch is then unsatisfiable
% 262.92/188.98 |-Branch two:
% 262.92/188.98 | (185) all_55_2_64 = all_0_5_5 & ~ (all_55_0_62 = all_55_1_63) & host(all_0_7_7) = all_55_1_63 & leq(all_0_17_17, all_55_0_62) & ~ leq(nbr_proc, all_55_0_62) & ~ setIn(all_55_0_62, all_0_5_5)
% 262.92/188.98 |
% 262.92/188.98 | Applying alpha-rule on (185) yields:
% 262.92/188.98 | (186) ~ leq(nbr_proc, all_55_0_62)
% 262.92/188.98 | (187) host(all_0_7_7) = all_55_1_63
% 262.92/188.98 | (188) ~ setIn(all_55_0_62, all_0_5_5)
% 262.92/188.98 | (189) all_55_2_64 = all_0_5_5
% 262.92/188.98 | (190) leq(all_0_17_17, all_55_0_62)
% 262.92/188.98 | (191) ~ (all_55_0_62 = all_55_1_63)
% 262.92/188.99 |
% 262.92/188.99 | Instantiating formula (39) with all_55_1_63, all_0_4_4, all_0_7_7 and discharging atoms host(all_0_7_7) = all_55_1_63, host(all_0_7_7) = all_0_4_4, yields:
% 262.92/188.99 | (192) all_55_1_63 = all_0_4_4
% 262.92/188.99 |
% 262.92/188.99 | Equations (192) can reduce 191 to:
% 262.92/188.99 | (193) ~ (all_55_0_62 = all_0_4_4)
% 262.92/188.99 |
% 262.92/188.99 | Instantiating formula (93) with all_55_0_62 and discharging atoms leq(all_0_17_17, all_55_0_62), ~ leq(nbr_proc, all_55_0_62), ~ setIn(all_55_0_62, all_0_5_5), yields:
% 262.92/188.99 | (194) all_55_0_62 = all_0_4_4
% 262.92/188.99 |
% 262.92/188.99 | Equations (194) can reduce 193 to:
% 262.92/188.99 | (195) $false
% 262.92/188.99 |
% 262.92/188.99 |-The branch is then unsatisfiable
% 262.92/188.99 |-Branch two:
% 262.92/188.99 | (196) ~ (all_55_2_64 = nbr_proc) & host(all_0_8_8) = all_55_2_64
% 262.92/188.99 |
% 262.92/188.99 | Applying alpha-rule on (196) yields:
% 262.92/188.99 | (197) ~ (all_55_2_64 = nbr_proc)
% 262.92/188.99 | (198) host(all_0_8_8) = all_55_2_64
% 262.92/188.99 |
% 262.92/188.99 | Instantiating formula (39) with all_55_2_64, nbr_proc, all_0_8_8 and discharging atoms host(all_0_8_8) = all_55_2_64, host(all_0_8_8) = nbr_proc, yields:
% 262.92/188.99 | (199) all_55_2_64 = nbr_proc
% 262.92/188.99 |
% 262.92/188.99 | Equations (199) can reduce 197 to:
% 262.92/188.99 | (195) $false
% 262.92/188.99 |
% 262.92/188.99 |-The branch is then unsatisfiable
% 262.92/188.99 |-Branch two:
% 262.92/188.99 | (201) queue(all_0_13_13) = all_55_2_64 & ~ elem(all_0_0_0, all_55_2_64)
% 262.92/188.99 |
% 262.92/188.99 | Applying alpha-rule on (201) yields:
% 262.92/188.99 | (202) queue(all_0_13_13) = all_55_2_64
% 262.92/188.99 | (203) ~ elem(all_0_0_0, all_55_2_64)
% 262.92/188.99 |
% 262.92/188.99 | Instantiating formula (149) with all_0_13_13, all_55_2_64, all_0_12_12 and discharging atoms queue(all_0_13_13) = all_55_2_64, queue(all_0_13_13) = all_0_12_12, yields:
% 262.92/188.99 | (204) all_55_2_64 = all_0_12_12
% 262.92/188.99 |
% 262.92/188.99 | Using (163) and (203) yields:
% 262.92/188.99 | (205) ~ (all_55_2_64 = all_0_12_12)
% 262.92/188.99 |
% 262.92/188.99 | Equations (204) can reduce 205 to:
% 262.92/188.99 | (195) $false
% 262.92/188.99 |
% 262.92/188.99 |-The branch is then unsatisfiable
% 262.92/188.99 |-Branch two:
% 262.92/188.99 | (207) queue(nbr_proc) = all_86_0_105 & ~ elem(all_0_3_3, all_86_0_105)
% 262.92/188.99 |
% 262.92/188.99 | Applying alpha-rule on (207) yields:
% 262.92/188.99 | (208) queue(nbr_proc) = all_86_0_105
% 262.92/188.99 | (209) ~ elem(all_0_3_3, all_86_0_105)
% 262.92/188.99 |
% 262.92/188.99 | Instantiating formula (149) with nbr_proc, all_86_0_105, all_0_2_2 and discharging atoms queue(nbr_proc) = all_86_0_105, queue(nbr_proc) = all_0_2_2, yields:
% 262.92/188.99 | (210) all_86_0_105 = all_0_2_2
% 262.92/188.99 |
% 262.92/188.99 | Using (171) and (209) yields:
% 262.92/188.99 | (211) ~ (all_86_0_105 = all_0_2_2)
% 262.92/188.99 |
% 262.92/188.99 | Equations (210) can reduce 211 to:
% 262.92/188.99 | (195) $false
% 262.92/188.99 |
% 262.92/188.99 |-The branch is then unsatisfiable
% 262.92/188.99 |-Branch two:
% 262.92/188.99 | (183) ~ elem(all_0_3_3, all_0_2_2)
% 262.92/188.99 | (214) all_0_3_3 = all_0_10_10
% 262.92/188.99 |
% 262.92/188.99 | Equations (214) can reduce 159 to:
% 262.92/188.99 | (195) $false
% 262.92/188.99 |
% 262.92/188.99 |-The branch is then unsatisfiable
% 262.92/188.99 |-Branch two:
% 262.92/188.99 | (216) queue(all_0_13_13) = all_81_0_100 & ~ elem(all_0_0_0, all_81_0_100)
% 262.92/188.99 |
% 262.92/188.99 | Applying alpha-rule on (216) yields:
% 262.92/188.99 | (217) queue(all_0_13_13) = all_81_0_100
% 262.92/188.99 | (218) ~ elem(all_0_0_0, all_81_0_100)
% 262.92/188.99 |
% 262.92/188.99 | Instantiating formula (149) with all_0_13_13, all_81_0_100, all_0_12_12 and discharging atoms queue(all_0_13_13) = all_81_0_100, queue(all_0_13_13) = all_0_12_12, yields:
% 262.92/188.99 | (219) all_81_0_100 = all_0_12_12
% 262.92/188.99 |
% 262.92/188.99 | Using (163) and (218) yields:
% 262.92/188.99 | (220) ~ (all_81_0_100 = all_0_12_12)
% 262.92/188.99 |
% 262.92/188.99 | Equations (219) can reduce 220 to:
% 262.92/188.99 | (195) $false
% 262.92/188.99 |
% 262.92/188.99 |-The branch is then unsatisfiable
% 262.92/188.99 % SZS output end Proof for theBenchmark
% 262.92/188.99
% 262.92/188.99 188331ms
%------------------------------------------------------------------------------