TSTP Solution File: SWV464+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWV464+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Wed Jul 20 17:51:40 EDT 2022
% Result : Theorem 22.02s 6.52s
% Output : Proof 30.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV464+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 15 10:17:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.49/0.58 ____ _
% 0.49/0.58 ___ / __ \_____(_)___ ________ __________
% 0.49/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.49/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.49/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.49/0.58
% 0.49/0.58 A Theorem Prover for First-Order Logic
% 0.49/0.58 (ePrincess v.1.0)
% 0.49/0.58
% 0.49/0.58 (c) Philipp Rümmer, 2009-2015
% 0.49/0.58 (c) Peter Backeman, 2014-2015
% 0.49/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.49/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.49/0.58 Bug reports to peter@backeman.se
% 0.49/0.58
% 0.49/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.49/0.58
% 0.49/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.70/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.12/1.02 Prover 0: Preprocessing ...
% 3.96/1.49 Prover 0: Warning: ignoring some quantifiers
% 3.96/1.52 Prover 0: Constructing countermodel ...
% 19.38/5.93 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 19.77/6.04 Prover 1: Preprocessing ...
% 20.96/6.25 Prover 1: Constructing countermodel ...
% 22.02/6.52 Prover 1: proved (586ms)
% 22.02/6.52 Prover 0: stopped
% 22.02/6.52
% 22.02/6.52 No countermodel exists, formula is valid
% 22.02/6.52 % SZS status Theorem for theBenchmark
% 22.02/6.52
% 22.02/6.52 Generating proof ... found it (size 248)
% 29.18/8.21
% 29.18/8.21 % SZS output start Proof for theBenchmark
% 29.18/8.22 Assumed formulas after preprocessing and simplification:
% 29.18/8.22 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ( ~ (v11 = v6) & ~ (v10 = 0) & ~ (v1 = 0) & ~ (norm = wait) & ~ (norm = elec_1) & ~ (norm = elec_2) & ~ (wait = elec_1) & ~ (wait = elec_2) & ~ (elec_1 = elec_2) & index(ldr, v23) = v23 & index(elid, v6) = v3 & index(status, v23) = norm & index(status, v11) = elec_2 & index(status, v6) = elec_2 & index(pendack, v11) = v17 & index(pendack, v6) = v9 & ordered(q_nil) = 0 & snoc(v20, v12) = v21 & cons(v8, v2) = v7 & m_Down(v15) = v19 & m_Halt(v4) = v12 & leq(v0, nbr_proc) = 0 & leq(nbr_proc, v18) = 0 & leq(nbr_proc, v9) = v10 & s(v17) = v18 & s(v9) = v11 & s(zero) = v0 & m_Ack(v16, v14) = v22 & m_Ack(v3, v5) = v8 & host(v16) = v11 & host(v15) = v18 & host(v14) = v17 & host(v13) = v23 & host(v5) = v9 & host(v4) = v6 & queue(v11) = v20 & queue(v6) = v7 & elem(v22, v21) = 0 & elem(v19, v21) = 0 & setIn(v16, alive) = 0 & setIn(v13, alive) = 0 & setIn(v4, alive) = 0 & setIn(nil, alive) = v1 & ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ! [v32] : ! [v33] : (v30 = 0 | ~ (index(pendack, v27) = v28) | ~ (m_Halt(v26) = v31) | ~ (leq(v28, v29) = v30) | ~ (host(v26) = v27) | ~ (host(v25) = v32) | ~ (host(v24) = v29) | ~ (queue(v32) = v33) | ~ (elem(v31, v33) = 0) | ? [v34] : ? [v35] : ? [v36] : ? [v37] : ? [v38] : (index(ldr, v29) = v37 & index(status, v29) = v38 & index(status, v27) = v35 & setIn(v26, alive) = v34 & setIn(v24, alive) = v36 & ( ~ (v38 = norm) | ~ (v37 = v29) | ~ (v36 = 0) | ~ (v35 = elec_2) | ~ (v34 = 0)))) & ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ! [v32] : ( ~ (m_Down(v26) = v28) | ~ (m_Down(v25) = v30) | ~ (host(v27) = nbr_proc) | ~ (host(v24) = v31) | ~ (queue(v31) = v32) | ~ (queue(nbr_proc) = v29) | ~ (elem(v30, v32) = 0) | ~ (elem(v28, v29) = 0) | ? [v33] : ? [v34] : ? [v35] : ? [v36] : ? [v37] : ? [v38] : ? [v39] : ? [v40] : ? [v41] : (index(down, nbr_proc) = v33 & index(status, nbr_proc) = v36 & host(v26) = v34 & host(v25) = v35 & setIn(v24, alive) = v37 & ( ~ (v37 = 0) | ~ (v36 = elec_1) | ~ (v35 = nbr_proc) | (v40 = 0 & ~ (v41 = 0) & ~ (v39 = 0) & ~ (v38 = v34) & leq(v0, v38) = 0 & leq(nbr_proc, v38) = v39 & setIn(v38, v33) = v41)))) & ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ( ~ (m_Down(v26) = v28) | ~ (m_Ack(v27, v25) = v31) | ~ (host(v27) = v29) | ~ (queue(v29) = v30) | ~ (elem(v31, v30) = 0) | ~ (elem(v28, v30) = 0) | ~ (setIn(v24, alive) = 0) | ? [v32] : ? [v33] : ? [v34] : ? [v35] : ? [v36] : ? [v37] : ? [v38] : ? [v39] : ? [v40] : ? [v41] : (index(ldr, v39) = v40 & index(status, v39) = v41 & index(status, v29) = v36 & index(pendack, v29) = v33 & leq(nbr_proc, v34) = v35 & s(v33) = v34 & host(v26) = v38 & host(v25) = v37 & host(v24) = v39 & setIn(v27, alive) = v32 & ( ~ (v41 = norm) | ~ (v40 = v39) | ~ (v38 = v34) | ~ (v37 = v33) | ~ (v36 = elec_2) | ~ (v35 = 0) | ~ (v32 = 0)))) & ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : (v29 = 0 | ~ (index(pendack, v27) = v28) | ~ (leq(v28, v26) = v29) | ~ (host(v25) = v27) | ~ (host(v24) = v26) | ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : (index(status, v27) = v34 & index(status, v26) = v33 & leq(v26, v27) = v30 & setIn(v25, alive) = v32 & setIn(v24, alive) = v31 & ( ~ (v34 = elec_2) | ~ (v33 = elec_2) | ~ (v32 = 0) | ~ (v31 = 0) | v30 = 0))) & ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : (v29 = 0 | ~ (index(pendack, v26) = v28) | ~ (leq(v27, v28) = v29) | ~ (host(v25) = v26) | ~ (host(v24) = v27) | ? [v30] : ? [v31] : ? [v32] : ? [v33] : (m_Ack(v25, v24) = v31 & queue(v26) = v32 & elem(v31, v32) = v33 & setIn(v25, alive) = v30 & ( ~ (v33 = 0) | ~ (v30 = 0)))) & ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ( ~ (index(pendack, v27) = v29) | ~ (index(pendack, v26) = v28) | ~ (leq(v28, v29) = 0) | ~ (host(v25) = v27) | ~ (host(v24) = v26) | ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : (index(status, v27) = v34 & index(status, v26) = v33 & leq(v26, v27) = v30 & setIn(v25, alive) = v32 & setIn(v24, alive) = v31 & ( ~ (v34 = elec_2) | ~ (v33 = elec_2) | ~ (v32 = 0) | ~ (v31 = 0) | v30 = 0))) & ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ( ~ (cons(v27, v24) = v28) | ~ (m_Down(v26) = v29) | ~ (m_Halt(v25) = v27) | ~ (elem(v29, v24) = 0) | ? [v30] : ? [v31] : ? [v32] : ? [v33] : (ordered(v28) = v30 & leq(v25, v26) = v33 & host(v26) = v32 & host(v25) = v31 & ( ~ (v32 = v31) | ~ (v30 = 0) | v33 = 0))) & ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ( ~ (m_Down(v25) = v27) | ~ (host(v26) = v28) | ~ (queue(v28) = v29) | ~ (elem(v27, v29) = 0) | ~ (setIn(v24, alive) = 0) | ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : (index(ldr, v32) = v33 & index(status, v32) = v34 & host(v25) = v31 & host(v24) = v32 & setIn(v26, alive) = v30 & ( ~ (v34 = norm) | ~ (v33 = v31) | ~ (v32 = v31) | ~ (v30 = 0)))) & ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ( ~ (m_Ack(v26, v24) = v27) | ~ (host(v25) = v28) | ~ (queue(v28) = v29) | ~ (elem(v27, v29) = 0) | ? [v30] : ? [v31] : ? [v32] : ( ~ (v32 = 0) & leq(v30, v31) = v32 & host(v26) = v31 & host(v24) = v30)) & ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ( ~ (m_Ack(v24, v25) = v28) | ~ (host(v24) = v27) | ~ (queue(v27) = v29) | ~ (elem(v28, v29) = 0) | ~ (setIn(v26, alive) = 0) | ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : (index(status, v31) = v34 & index(status, v27) = v33 & host(v26) = v31 & host(v25) = v32 & setIn(v24, alive) = v30 & ( ~ (v34 = elec_2) | ~ (v33 = elec_2) | ~ (v32 = v31) | ~ (v30 = 0)))) & ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : (v28 = 0 | ~ (snoc(v26, v25) = v27) | ~ (elem(v24, v27) = v28) | ? [v29] : ( ~ (v29 = 0) & elem(v24, v26) = v29)) & ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : (v28 = 0 | ~ (cons(v25, v26) = v27) | ~ (elem(v24, v27) = v28) | ? [v29] : ( ~ (v29 = 0) & elem(v24, v26) = v29)) & ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : (v28 = 0 | ~ (leq(v26, v27) = v28) | ~ (s(v25) = v27) | ~ (s(v24) = v26) | ? [v29] : ( ~ (v29 = 0) & leq(v24, v25) = v29)) & ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : (v27 = v26 | ~ (m_Ack(v25, v27) = v28) | ~ (m_Ack(v24, v26) = v28)) & ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : (v25 = v24 | ~ (m_Ack(v25, v27) = v28) | ~ (m_Ack(v24, v26) = v28)) & ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (snoc(v26, v25) = v27) | ~ (cons(v24, v27) = v28) | ? [v29] : (snoc(v29, v25) = v28 & cons(v24, v26) = v29)) & ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (snoc(v24, v27) = v28) | ~ (m_Ack(v25, v26) = v27) | ? [v29] : ? [v30] : (ordered(v28) = v30 & ordered(v24) = v29 & ( ~ (v29 = 0) | v30 = 0))) & ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (m_Ldr(v25) = v26) | ~ (host(v24) = v27) | ~ (queue(v27) = v28) | ~ (elem(v26, v28) = 0) | ? [v29] : ? [v30] : ( ~ (v30 = 0) & leq(v27, v29) = v30 & host(v25) = v29)) & ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (m_Down(v25) = v26) | ~ (host(v24) = v27) | ~ (queue(v27) = v28) | ~ (elem(v26, v28) = 0) | ? [v29] : ( ~ (v29 = v27) & host(v25) = v29)) & ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (m_Halt(v25) = v26) | ~ (host(v24) = v27) | ~ (queue(v27) = v28) | ~ (elem(v26, v28) = 0) | ? [v29] : ? [v30] : ( ~ (v30 = 0) & leq(v27, v29) = v30 & host(v25) = v29)) & ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (m_Ack(v25, v24) = v27) | ~ (host(v25) = v26) | ~ (queue(v26) = v28) | ~ (elem(v27, v28) = 0) | ? [v29] : ? [v30] : (index(status, v26) = v30 & setIn(v25, alive) = v29 & ( ~ (v30 = elec_1) | ~ (v29 = 0)))) & ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (m_Ack(v24, v25) = v26) | ~ (host(v24) = v27) | ~ (queue(v27) = v28) | ~ (elem(v26, v28) = 0) | (setIn(v25, pids) = 0 & setIn(v24, pids) = 0)) & ! [v24] : ! [v25] : ! [v26] : ! [v27] : (v27 = v24 | v24 = q_nil | ~ (init(v24) = v25) | ~ (snoc(v25, v26) = v27) | ~ (last(v24) = v26)) & ! [v24] : ! [v25] : ! [v26] : ! [v27] : (v27 = v24 | v24 = q_nil | ~ (tail(v24) = v26) | ~ (cons(v25, v26) = v27) | ~ (head(v24) = v25)) & ! [v24] : ! [v25] : ! [v26] : ! [v27] : (v27 = 0 | ~ (snoc(v25, v24) = v26) | ~ (elem(v24, v26) = v27)) & ! [v24] : ! [v25] : ! [v26] : ! [v27] : (v27 = 0 | ~ (cons(v24, v25) = v26) | ~ (elem(v24, v26) = v27)) & ! [v24] : ! [v25] : ! [v26] : ! [v27] : (v27 = 0 | ~ (leq(v24, v26) = v27) | ~ (leq(v24, v25) = 0) | ? [v28] : ( ~ (v28 = 0) & leq(v25, v26) = v28)) & ! [v24] : ! [v25] : ! [v26] : ! [v27] : (v27 = 0 | ~ (leq(v24, v26) = v27) | ~ (s(v25) = v26) | ? [v28] : ( ~ (v28 = 0) & leq(v24, v25) = v28)) & ! [v24] : ! [v25] : ! [v26] : ! [v27] : (v25 = v24 | ~ (index(v27, v26) = v25) | ~ (index(v27, v26) = v24)) & ! [v24] : ! [v25] : ! [v26] : ! [v27] : (v25 = v24 | ~ (snoc(v27, v26) = v25) | ~ (snoc(v27, v26) = v24)) & ! [v24] : ! [v25] : ! [v26] : ! [v27] : (v25 = v24 | ~ (snoc(v26, v25) = v27) | ~ (elem(v24, v27) = 0) | elem(v24, v26) = 0) & ! [v24] : ! [v25] : ! [v26] : ! [v27] : (v25 = v24 | ~ (cons(v27, v26) = v25) | ~ (cons(v27, v26) = v24)) & ! [v24] : ! [v25] : ! [v26] : ! [v27] : (v25 = v24 | ~ (cons(v25, v26) = v27) | ~ (elem(v24, v27) = 0) | elem(v24, v26) = 0) & ! [v24] : ! [v25] : ! [v26] : ! [v27] : (v25 = v24 | ~ (leq(v27, v26) = v25) | ~ (leq(v27, v26) = v24)) & ! [v24] : ! [v25] : ! [v26] : ! [v27] : (v25 = v24 | ~ (m_Ack(v27, v26) = v25) | ~ (m_Ack(v27, v26) = v24)) & ! [v24] : ! [v25] : ! [v26] : ! [v27] : (v25 = v24 | ~ (elem(v27, v26) = v25) | ~ (elem(v27, v26) = v24)) & ! [v24] : ! [v25] : ! [v26] : ! [v27] : (v25 = v24 | ~ (setIn(v27, v26) = v25) | ~ (setIn(v27, v26) = v24)) & ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (ordered(v25) = v26) | ~ (pidElem(v24) = v27) | ? [v28] : ? [v29] : ? [v30] : ? [v31] : (ordered(v28) = v29 & pidMsg(v24) = v30 & snoc(v25, v24) = v28 & host(v30) = v31 & ( ~ (v29 = 0) | (v26 = 0 & ! [v32] : ! [v33] : ! [v34] : ( ~ (v27 = 0) | v34 = 0 | ~ (pidMsg(v32) = v33) | ~ (leq(v33, v30) = v34) | ? [v35] : ? [v36] : ? [v37] : (pidElem(v32) = v36 & host(v33) = v37 & elem(v32, v25) = v35 & ( ~ (v37 = v31) | ~ (v36 = 0) | ~ (v35 = 0)))))))) & ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (ordered(v25) = v26) | ~ (pidElem(v24) = v27) | ? [v28] : ? [v29] : ? [v30] : ? [v31] : (ordered(v28) = v29 & pidMsg(v24) = v30 & cons(v24, v25) = v28 & host(v30) = v31 & ( ~ (v29 = 0) | (v26 = 0 & ! [v32] : ! [v33] : ! [v34] : ( ~ (v27 = 0) | v34 = 0 | ~ (pidMsg(v32) = v33) | ~ (leq(v30, v33) = v34) | ? [v35] : ? [v36] : ? [v37] : (pidElem(v32) = v36 & host(v33) = v37 & elem(v32, v25) = v35 & ( ~ (v37 = v31) | ~ (v36 = 0) | ~ (v35 = 0)))))))) & ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (snoc(v24, v26) = v27) | ~ (m_Ldr(v25) = v26) | ? [v28] : ? [v29] : (ordered(v27) = v29 & ordered(v24) = v28 & ( ~ (v28 = 0) | v29 = 0))) & ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (m_NormQ(v26) = v27) | ~ (m_Ack(v24, v25) = v27)) & ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (m_Ldr(v26) = v27) | ~ (m_Ack(v24, v25) = v27)) & ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (m_NotNorm(v26) = v27) | ~ (m_Ack(v24, v25) = v27)) & ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (m_Down(v26) = v27) | ~ (m_Ack(v24, v25) = v27)) & ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (m_Halt(v26) = v27) | ~ (m_Ack(v24, v25) = v27)) & ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (leq(v26, v27) = 0) | ~ (s(v25) = v27) | ~ (s(v24) = v26) | leq(v24, v25) = 0) & ! [v24] : ! [v25] : ! [v26] : (v26 = v25 | ~ (m_NormQ(v24) = v26) | ~ (m_NormQ(v24) = v25)) & ! [v24] : ! [v25] : ! [v26] : (v26 = v25 | ~ (m_Ldr(v24) = v26) | ~ (m_Ldr(v24) = v25)) & ! [v24] : ! [v25] : ! [v26] : (v26 = v25 | ~ (m_NotNorm(v24) = v26) | ~ (m_NotNorm(v24) = v25)) & ! [v24] : ! [v25] : ! [v26] : (v26 = v25 | ~ (m_Down(v24) = v26) | ~ (m_Down(v24) = v25)) & ! [v24] : ! [v25] : ! [v26] : (v26 = v25 | ~ (m_Halt(v24) = v26) | ~ (m_Halt(v24) = v25)) & ! [v24] : ! [v25] : ! [v26] : (v26 = v25 | ~ (host(v24) = v26) | ~ (host(v24) = v25)) & ! [v24] : ! [v25] : ! [v26] : (v26 = v24 | ~ (leq(v24, v26) = 0) | ~ (s(v25) = v26) | leq(v24, v25) = 0) & ! [v24] : ! [v25] : ! [v26] : (v26 = 0 | ~ (leq(v24, v25) = v26) | leq(v25, v24) = 0) & ! [v24] : ! [v25] : ! [v26] : (v26 = 0 | ~ (leq(v24, v24) = v26) | ~ (s(v25) = v24)) & ! [v24] : ! [v25] : ! [v26] : (v25 = v24 | ~ (ordered(v26) = v25) | ~ (ordered(v26) = v24)) & ! [v24] : ! [v25] : ! [v26] : (v25 = v24 | ~ (pidMsg(v26) = v25) | ~ (pidMsg(v26) = v24)) & ! [v24] : ! [v25] : ! [v26] : (v25 = v24 | ~ (pidElem(v26) = v25) | ~ (pidElem(v26) = v24)) & ! [v24] : ! [v25] : ! [v26] : (v25 = v24 | ~ (init(v26) = v25) | ~ (init(v26) = v24)) & ! [v24] : ! [v25] : ! [v26] : (v25 = v24 | ~ (last(v26) = v25) | ~ (last(v26) = v24)) & ! [v24] : ! [v25] : ! [v26] : (v25 = v24 | ~ (tail(v26) = v25) | ~ (tail(v26) = v24)) & ! [v24] : ! [v25] : ! [v26] : (v25 = v24 | ~ (head(v26) = v25) | ~ (head(v26) = v24)) & ! [v24] : ! [v25] : ! [v26] : (v25 = v24 | ~ (m_NormQ(v26) = v25) | ~ (m_NormQ(v26) = v24)) & ! [v24] : ! [v25] : ! [v26] : (v25 = v24 | ~ (m_NormQ(v25) = v26) | ~ (m_NormQ(v24) = v26)) & ! [v24] : ! [v25] : ! [v26] : (v25 = v24 | ~ (m_Ldr(v26) = v25) | ~ (m_Ldr(v26) = v24)) & ! [v24] : ! [v25] : ! [v26] : (v25 = v24 | ~ (m_Ldr(v25) = v26) | ~ (m_Ldr(v24) = v26)) & ! [v24] : ! [v25] : ! [v26] : (v25 = v24 | ~ (m_NotNorm(v26) = v25) | ~ (m_NotNorm(v26) = v24)) & ! [v24] : ! [v25] : ! [v26] : (v25 = v24 | ~ (m_NotNorm(v25) = v26) | ~ (m_NotNorm(v24) = v26)) & ! [v24] : ! [v25] : ! [v26] : (v25 = v24 | ~ (m_Down(v26) = v25) | ~ (m_Down(v26) = v24)) & ! [v24] : ! [v25] : ! [v26] : (v25 = v24 | ~ (m_Down(v25) = v26) | ~ (m_Down(v24) = v26)) & ! [v24] : ! [v25] : ! [v26] : (v25 = v24 | ~ (m_Halt(v26) = v25) | ~ (m_Halt(v26) = v24)) & ! [v24] : ! [v25] : ! [v26] : (v25 = v24 | ~ (m_Halt(v25) = v26) | ~ (m_Halt(v24) = v26)) & ! [v24] : ! [v25] : ! [v26] : (v25 = v24 | ~ (s(v26) = v25) | ~ (s(v26) = v24)) & ! [v24] : ! [v25] : ! [v26] : (v25 = v24 | ~ (host(v26) = v25) | ~ (host(v26) = v24)) & ! [v24] : ! [v25] : ! [v26] : (v25 = v24 | ~ (queue(v26) = v25) | ~ (queue(v26) = v24)) & ! [v24] : ! [v25] : ! [v26] : (v25 = 0 | ~ (pidElem(v24) = v25) | ~ (m_Down(v26) = v24)) & ! [v24] : ! [v25] : ! [v26] : (v25 = 0 | ~ (pidElem(v24) = v25) | ~ (m_Halt(v26) = v24)) & ! [v24] : ! [v25] : ! [v26] : ( ~ (ordered(v25) = 0) | ~ (pidElem(v24) = v26) | ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : ? [v35] : ? [v36] : (ordered(v29) = v30 & pidMsg(v24) = v27 & snoc(v25, v24) = v29 & host(v27) = v28 & (v30 = 0 | (v35 = v28 & v33 = 0 & v32 = 0 & v26 = 0 & ~ (v36 = 0) & pidMsg(v31) = v34 & pidElem(v31) = 0 & leq(v34, v27) = v36 & host(v34) = v28 & elem(v31, v25) = 0)))) & ! [v24] : ! [v25] : ! [v26] : ( ~ (ordered(v25) = 0) | ~ (pidElem(v24) = v26) | ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : ? [v35] : ? [v36] : (ordered(v29) = v30 & pidMsg(v24) = v27 & cons(v24, v25) = v29 & host(v27) = v28 & (v30 = 0 | (v35 = v28 & v33 = 0 & v32 = 0 & v26 = 0 & ~ (v36 = 0) & pidMsg(v31) = v34 & pidElem(v31) = 0 & leq(v27, v34) = v36 & host(v34) = v28 & elem(v31, v25) = 0)))) & ! [v24] : ! [v25] : ! [v26] : ( ~ (snoc(v25, v24) = v26) | init(v26) = v25) & ! [v24] : ! [v25] : ! [v26] : ( ~ (snoc(v25, v24) = v26) | last(v26) = v24) & ! [v24] : ! [v25] : ! [v26] : ( ~ (cons(v24, v25) = v26) | tail(v26) = v25) & ! [v24] : ! [v25] : ! [v26] : ( ~ (cons(v24, v25) = v26) | head(v26) = v24) & ! [v24] : ! [v25] : ! [v26] : ( ~ (m_NormQ(v25) = v26) | ~ (m_Ldr(v24) = v26)) & ! [v24] : ! [v25] : ! [v26] : ( ~ (m_NormQ(v25) = v26) | ~ (m_Down(v24) = v26)) & ! [v24] : ! [v25] : ! [v26] : ( ~ (m_NormQ(v24) = v26) | ~ (m_NotNorm(v25) = v26)) & ! [v24] : ! [v25] : ! [v26] : ( ~ (m_NormQ(v24) = v26) | ~ (m_Halt(v25) = v26)) & ! [v24] : ! [v25] : ! [v26] : ( ~ (m_Ldr(v25) = v26) | ~ (m_Down(v24) = v26)) & ! [v24] : ! [v25] : ! [v26] : ( ~ (m_Ldr(v24) = v26) | ~ (m_NotNorm(v25) = v26)) & ! [v24] : ! [v25] : ! [v26] : ( ~ (m_Ldr(v24) = v26) | ~ (m_Halt(v25) = v26)) & ! [v24] : ! [v25] : ! [v26] : ( ~ (m_NotNorm(v25) = v26) | ~ (m_Down(v24) = v26)) & ! [v24] : ! [v25] : ! [v26] : ( ~ (m_NotNorm(v24) = v26) | ~ (m_Halt(v25) = v26)) & ! [v24] : ! [v25] : ! [v26] : ( ~ (m_Down(v24) = v26) | ~ (m_Halt(v25) = v26)) & ! [v24] : ! [v25] : ! [v26] : ( ~ (host(v25) = v26) | ~ (host(v24) = v26) | ? [v27] : ( ~ (v27 = v26) & s(v26) = v27)) & ! [v24] : ! [v25] : (v25 = v24 | ~ (leq(v24, v25) = 0) | ? [v26] : ( ~ (v26 = 0) & leq(v25, v24) = v26)) & ! [v24] : ! [v25] : (v25 = v24 | ~ (setIn(v25, alive) = 0) | ~ (setIn(v24, alive) = 0) | ? [v26] : ? [v27] : ( ~ (v27 = v26) & host(v25) = v26 & host(v24) = v27)) & ! [v24] : ! [v25] : (v25 = 0 | ~ (leq(v24, v24) = v25)) & ! [v24] : ! [v25] : ~ (snoc(v25, v24) = q_nil) & ! [v24] : ! [v25] : ( ~ (snoc(q_nil, v24) = v25) | ordered(v25) = 0) & ! [v24] : ! [v25] : ~ (cons(v24, v25) = q_nil) & ! [v24] : ! [v25] : ( ~ (cons(v24, q_nil) = v25) | ordered(v25) = 0) & ! [v24] : ! [v25] : ( ~ (cons(v24, q_nil) = v25) | snoc(q_nil, v24) = v25) & ! [v24] : ! [v25] : ( ~ (m_Down(v24) = v25) | pidMsg(v25) = v24) & ! [v24] : ! [v25] : ( ~ (m_Halt(v24) = v25) | pidMsg(v25) = v24) & ! [v24] : ! [v25] : ( ~ (leq(v25, v24) = 0) | ~ (s(v24) = v25)) & ! [v24] : ! [v25] : ( ~ (host(v24) = v25) | leq(v25, nbr_proc) = 0) & ! [v24] : ! [v25] : ( ~ (host(v24) = v25) | leq(v0, v25) = 0) & ! [v24] : ( ~ (pidElem(v24) = 0) | ? [v25] : ? [v26] : ? [v27] : (m_Down(v25) = v27 & m_Halt(v25) = v26 & (v27 = v24 | v26 = v24))) & ! [v24] : ~ (elem(v24, q_nil) = 0) & ! [v24] : ~ (setIn(v24, setEmpty) = 0) & ! [v24] : ( ~ (setIn(v24, alive) = 0) | ? [v25] : ? [v26] : ? [v27] : (index(elid, v25) = v27 & index(status, v25) = v26 & host(v24) = v25 & (v27 = v24 | ( ~ (v26 = elec_1) & ~ (v26 = elec_2))))))
% 29.51/8.30 | 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, all_0_18_18, all_0_19_19, all_0_20_20, all_0_21_21, all_0_22_22, all_0_23_23 yields:
% 29.51/8.30 | (1) ~ (all_0_12_12 = all_0_17_17) & ~ (all_0_13_13 = 0) & ~ (all_0_22_22 = 0) & ~ (norm = wait) & ~ (norm = elec_1) & ~ (norm = elec_2) & ~ (wait = elec_1) & ~ (wait = elec_2) & ~ (elec_1 = elec_2) & index(ldr, all_0_0_0) = all_0_0_0 & index(elid, all_0_17_17) = all_0_20_20 & index(status, all_0_0_0) = norm & index(status, all_0_12_12) = elec_2 & index(status, all_0_17_17) = elec_2 & index(pendack, all_0_12_12) = all_0_6_6 & index(pendack, all_0_17_17) = all_0_14_14 & ordered(q_nil) = 0 & snoc(all_0_3_3, all_0_11_11) = all_0_2_2 & cons(all_0_15_15, all_0_21_21) = all_0_16_16 & m_Down(all_0_8_8) = all_0_4_4 & m_Halt(all_0_19_19) = all_0_11_11 & leq(all_0_23_23, nbr_proc) = 0 & leq(nbr_proc, all_0_5_5) = 0 & leq(nbr_proc, all_0_14_14) = all_0_13_13 & s(all_0_6_6) = all_0_5_5 & s(all_0_14_14) = all_0_12_12 & s(zero) = all_0_23_23 & m_Ack(all_0_7_7, all_0_9_9) = all_0_1_1 & m_Ack(all_0_20_20, all_0_18_18) = all_0_15_15 & host(all_0_7_7) = all_0_12_12 & host(all_0_8_8) = all_0_5_5 & host(all_0_9_9) = all_0_6_6 & host(all_0_10_10) = all_0_0_0 & host(all_0_18_18) = all_0_14_14 & host(all_0_19_19) = all_0_17_17 & queue(all_0_12_12) = all_0_3_3 & queue(all_0_17_17) = all_0_16_16 & elem(all_0_1_1, all_0_2_2) = 0 & elem(all_0_4_4, all_0_2_2) = 0 & setIn(all_0_7_7, alive) = 0 & setIn(all_0_10_10, alive) = 0 & setIn(all_0_19_19, alive) = 0 & setIn(nil, alive) = all_0_22_22 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v6 = 0 | ~ (index(pendack, v3) = v4) | ~ (m_Halt(v2) = v7) | ~ (leq(v4, v5) = v6) | ~ (host(v2) = v3) | ~ (host(v1) = v8) | ~ (host(v0) = v5) | ~ (queue(v8) = v9) | ~ (elem(v7, v9) = 0) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (index(ldr, v5) = v13 & index(status, v5) = v14 & index(status, v3) = v11 & setIn(v2, alive) = v10 & setIn(v0, alive) = v12 & ( ~ (v14 = norm) | ~ (v13 = v5) | ~ (v12 = 0) | ~ (v11 = elec_2) | ~ (v10 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (m_Down(v2) = v4) | ~ (m_Down(v1) = v6) | ~ (host(v3) = nbr_proc) | ~ (host(v0) = v7) | ~ (queue(v7) = v8) | ~ (queue(nbr_proc) = v5) | ~ (elem(v6, v8) = 0) | ~ (elem(v4, v5) = 0) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : (index(down, nbr_proc) = v9 & index(status, nbr_proc) = v12 & host(v2) = v10 & host(v1) = v11 & setIn(v0, alive) = v13 & ( ~ (v13 = 0) | ~ (v12 = elec_1) | ~ (v11 = nbr_proc) | (v16 = 0 & ~ (v17 = 0) & ~ (v15 = 0) & ~ (v14 = v10) & leq(all_0_23_23, v14) = 0 & leq(nbr_proc, v14) = v15 & setIn(v14, v9) = v17)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (m_Down(v2) = v4) | ~ (m_Ack(v3, v1) = v7) | ~ (host(v3) = v5) | ~ (queue(v5) = v6) | ~ (elem(v7, v6) = 0) | ~ (elem(v4, v6) = 0) | ~ (setIn(v0, alive) = 0) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : (index(ldr, v15) = v16 & index(status, v15) = v17 & index(status, v5) = v12 & index(pendack, v5) = v9 & leq(nbr_proc, v10) = v11 & s(v9) = v10 & host(v2) = v14 & host(v1) = v13 & host(v0) = v15 & setIn(v3, alive) = v8 & ( ~ (v17 = norm) | ~ (v16 = v15) | ~ (v14 = v10) | ~ (v13 = v9) | ~ (v12 = elec_2) | ~ (v11 = 0) | ~ (v8 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (index(pendack, v3) = v4) | ~ (leq(v4, v2) = v5) | ~ (host(v1) = v3) | ~ (host(v0) = v2) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (index(status, v3) = v10 & index(status, v2) = v9 & leq(v2, v3) = v6 & setIn(v1, alive) = v8 & setIn(v0, alive) = v7 & ( ~ (v10 = elec_2) | ~ (v9 = elec_2) | ~ (v8 = 0) | ~ (v7 = 0) | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (index(pendack, v2) = v4) | ~ (leq(v3, v4) = v5) | ~ (host(v1) = v2) | ~ (host(v0) = v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (m_Ack(v1, v0) = v7 & queue(v2) = v8 & elem(v7, v8) = v9 & setIn(v1, alive) = v6 & ( ~ (v9 = 0) | ~ (v6 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (index(pendack, v3) = v5) | ~ (index(pendack, v2) = v4) | ~ (leq(v4, v5) = 0) | ~ (host(v1) = v3) | ~ (host(v0) = v2) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (index(status, v3) = v10 & index(status, v2) = v9 & leq(v2, v3) = v6 & setIn(v1, alive) = v8 & setIn(v0, alive) = v7 & ( ~ (v10 = elec_2) | ~ (v9 = elec_2) | ~ (v8 = 0) | ~ (v7 = 0) | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (cons(v3, v0) = v4) | ~ (m_Down(v2) = v5) | ~ (m_Halt(v1) = v3) | ~ (elem(v5, v0) = 0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (ordered(v4) = v6 & leq(v1, v2) = v9 & host(v2) = v8 & host(v1) = v7 & ( ~ (v8 = v7) | ~ (v6 = 0) | v9 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (m_Down(v1) = v3) | ~ (host(v2) = v4) | ~ (queue(v4) = v5) | ~ (elem(v3, v5) = 0) | ~ (setIn(v0, alive) = 0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (index(ldr, v8) = v9 & index(status, v8) = v10 & host(v1) = v7 & host(v0) = v8 & setIn(v2, alive) = v6 & ( ~ (v10 = norm) | ~ (v9 = v7) | ~ (v8 = v7) | ~ (v6 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (m_Ack(v2, v0) = v3) | ~ (host(v1) = v4) | ~ (queue(v4) = v5) | ~ (elem(v3, v5) = 0) | ? [v6] : ? [v7] : ? [v8] : ( ~ (v8 = 0) & leq(v6, v7) = v8 & host(v2) = v7 & host(v0) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (m_Ack(v0, v1) = v4) | ~ (host(v0) = v3) | ~ (queue(v3) = v5) | ~ (elem(v4, v5) = 0) | ~ (setIn(v2, alive) = 0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (index(status, v7) = v10 & index(status, v3) = v9 & host(v2) = v7 & host(v1) = v8 & setIn(v0, alive) = v6 & ( ~ (v10 = elec_2) | ~ (v9 = elec_2) | ~ (v8 = v7) | ~ (v6 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (snoc(v2, v1) = v3) | ~ (elem(v0, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & elem(v0, v2) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (cons(v1, v2) = v3) | ~ (elem(v0, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & elem(v0, v2) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (leq(v2, v3) = v4) | ~ (s(v1) = v3) | ~ (s(v0) = v2) | ? [v5] : ( ~ (v5 = 0) & leq(v0, v1) = v5)) & ! [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) | ? [v5] : ? [v6] : (ordered(v4) = v6 & ordered(v0) = v5 & ( ~ (v5 = 0) | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (m_Ldr(v1) = v2) | ~ (host(v0) = v3) | ~ (queue(v3) = v4) | ~ (elem(v2, v4) = 0) | ? [v5] : ? [v6] : ( ~ (v6 = 0) & leq(v3, v5) = v6 & host(v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (m_Down(v1) = v2) | ~ (host(v0) = v3) | ~ (queue(v3) = v4) | ~ (elem(v2, v4) = 0) | ? [v5] : ( ~ (v5 = v3) & host(v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (m_Halt(v1) = v2) | ~ (host(v0) = v3) | ~ (queue(v3) = v4) | ~ (elem(v2, v4) = 0) | ? [v5] : ? [v6] : ( ~ (v6 = 0) & leq(v3, v5) = v6 & host(v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (m_Ack(v1, v0) = v3) | ~ (host(v1) = v2) | ~ (queue(v2) = v4) | ~ (elem(v3, v4) = 0) | ? [v5] : ? [v6] : (index(status, v2) = v6 & setIn(v1, alive) = v5 & ( ~ (v6 = elec_1) | ~ (v5 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (m_Ack(v0, v1) = v2) | ~ (host(v0) = v3) | ~ (queue(v3) = v4) | ~ (elem(v2, v4) = 0) | (setIn(v1, pids) = 0 & setIn(v0, pids) = 0)) & ! [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] : (v3 = 0 | ~ (snoc(v1, v0) = v2) | ~ (elem(v0, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (cons(v0, v1) = v2) | ~ (elem(v0, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leq(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & leq(v1, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leq(v0, v2) = v3) | ~ (s(v1) = v2) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4)) & ! [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) = 0) | elem(v0, v2) = 0) & ! [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) = 0) | elem(v0, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (m_Ack(v3, v2) = v1) | ~ (m_Ack(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (elem(v3, v2) = v1) | ~ (elem(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (setIn(v3, v2) = v1) | ~ (setIn(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ordered(v1) = v2) | ~ (pidElem(v0) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (ordered(v4) = v5 & pidMsg(v0) = v6 & snoc(v1, v0) = v4 & host(v6) = v7 & ( ~ (v5 = 0) | (v2 = 0 & ! [v8] : ! [v9] : ! [v10] : ( ~ (v3 = 0) | v10 = 0 | ~ (pidMsg(v8) = v9) | ~ (leq(v9, v6) = v10) | ? [v11] : ? [v12] : ? [v13] : (pidElem(v8) = v12 & host(v9) = v13 & elem(v8, v1) = v11 & ( ~ (v13 = v7) | ~ (v12 = 0) | ~ (v11 = 0)))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ordered(v1) = v2) | ~ (pidElem(v0) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (ordered(v4) = v5 & pidMsg(v0) = v6 & cons(v0, v1) = v4 & host(v6) = v7 & ( ~ (v5 = 0) | (v2 = 0 & ! [v8] : ! [v9] : ! [v10] : ( ~ (v3 = 0) | v10 = 0 | ~ (pidMsg(v8) = v9) | ~ (leq(v6, v9) = v10) | ? [v11] : ? [v12] : ? [v13] : (pidElem(v8) = v12 & host(v9) = v13 & elem(v8, v1) = v11 & ( ~ (v13 = v7) | ~ (v12 = 0) | ~ (v11 = 0)))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (snoc(v0, v2) = v3) | ~ (m_Ldr(v1) = v2) | ? [v4] : ? [v5] : (ordered(v3) = v5 & ordered(v0) = v4 & ( ~ (v4 = 0) | v5 = 0))) & ! [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_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_Halt(v2) = v3) | ~ (m_Ack(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (leq(v2, v3) = 0) | ~ (s(v1) = v3) | ~ (s(v0) = v2) | leq(v0, v1) = 0) & ! [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 | ~ (leq(v0, v2) = 0) | ~ (s(v1) = v2) | leq(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (leq(v0, v1) = v2) | leq(v1, v0) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (leq(v0, v0) = v2) | ~ (s(v1) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ordered(v2) = v1) | ~ (ordered(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (pidMsg(v2) = v1) | ~ (pidMsg(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (pidElem(v2) = v1) | ~ (pidElem(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 | ~ (queue(v2) = v1) | ~ (queue(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (pidElem(v0) = v1) | ~ (m_Down(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (pidElem(v0) = v1) | ~ (m_Halt(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ordered(v1) = 0) | ~ (pidElem(v0) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (ordered(v5) = v6 & pidMsg(v0) = v3 & snoc(v1, v0) = v5 & host(v3) = v4 & (v6 = 0 | (v11 = v4 & v9 = 0 & v8 = 0 & v2 = 0 & ~ (v12 = 0) & pidMsg(v7) = v10 & pidElem(v7) = 0 & leq(v10, v3) = v12 & host(v10) = v4 & elem(v7, v1) = 0)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ordered(v1) = 0) | ~ (pidElem(v0) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (ordered(v5) = v6 & pidMsg(v0) = v3 & cons(v0, v1) = v5 & host(v3) = v4 & (v6 = 0 | (v11 = v4 & v9 = 0 & v8 = 0 & v2 = 0 & ~ (v12 = 0) & pidMsg(v7) = v10 & pidElem(v7) = 0 & leq(v3, v10) = v12 & host(v10) = v4 & elem(v7, v1) = 0)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (snoc(v1, v0) = v2) | init(v2) = v1) & ! [v0] : ! [v1] : ! [v2] : ( ~ (snoc(v1, v0) = v2) | last(v2) = v0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (cons(v0, v1) = v2) | tail(v2) = v1) & ! [v0] : ! [v1] : ! [v2] : ( ~ (cons(v0, v1) = v2) | head(v2) = v0) & ! [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_Down(v0) = v2) | ~ (m_Halt(v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (host(v1) = v2) | ~ (host(v0) = v2) | ? [v3] : ( ~ (v3 = v2) & s(v2) = v3)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (leq(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & leq(v1, v0) = v2)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (setIn(v1, alive) = 0) | ~ (setIn(v0, alive) = 0) | ? [v2] : ? [v3] : ( ~ (v3 = v2) & host(v1) = v2 & host(v0) = v3)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1)) & ! [v0] : ! [v1] : ~ (snoc(v1, v0) = q_nil) & ! [v0] : ! [v1] : ( ~ (snoc(q_nil, v0) = v1) | ordered(v1) = 0) & ! [v0] : ! [v1] : ~ (cons(v0, v1) = q_nil) & ! [v0] : ! [v1] : ( ~ (cons(v0, q_nil) = v1) | ordered(v1) = 0) & ! [v0] : ! [v1] : ( ~ (cons(v0, q_nil) = v1) | snoc(q_nil, v0) = v1) & ! [v0] : ! [v1] : ( ~ (m_Down(v0) = v1) | pidMsg(v1) = v0) & ! [v0] : ! [v1] : ( ~ (m_Halt(v0) = v1) | pidMsg(v1) = v0) & ! [v0] : ! [v1] : ( ~ (leq(v1, v0) = 0) | ~ (s(v0) = v1)) & ! [v0] : ! [v1] : ( ~ (host(v0) = v1) | leq(v1, nbr_proc) = 0) & ! [v0] : ! [v1] : ( ~ (host(v0) = v1) | leq(all_0_23_23, v1) = 0) & ! [v0] : ( ~ (pidElem(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : (m_Down(v1) = v3 & m_Halt(v1) = v2 & (v3 = v0 | v2 = v0))) & ! [v0] : ~ (elem(v0, q_nil) = 0) & ! [v0] : ~ (setIn(v0, setEmpty) = 0) & ! [v0] : ( ~ (setIn(v0, alive) = 0) | ? [v1] : ? [v2] : ? [v3] : (index(elid, v1) = v3 & index(status, v1) = v2 & host(v0) = v1 & (v3 = v0 | ( ~ (v2 = elec_1) & ~ (v2 = elec_2)))))
% 29.86/8.33 |
% 29.86/8.33 | Applying alpha-rule on (1) yields:
% 29.86/8.33 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (snoc(v0, v3) = v4) | ~ (m_Ack(v1, v2) = v3) | ? [v5] : ? [v6] : (ordered(v4) = v6 & ordered(v0) = v5 & ( ~ (v5 = 0) | v6 = 0)))
% 29.86/8.33 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (m_Ack(v1, v3) = v4) | ~ (m_Ack(v0, v2) = v4))
% 29.86/8.33 | (4) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (m_Halt(v2) = v3) | ~ (m_Ack(v0, v1) = v3))
% 29.86/8.33 | (5) ! [v0] : ! [v1] : ! [v2] : ( ~ (m_NormQ(v0) = v2) | ~ (m_Halt(v1) = v2))
% 29.86/8.33 | (6) ! [v0] : ! [v1] : ( ~ (cons(v0, q_nil) = v1) | snoc(q_nil, v0) = v1)
% 29.86/8.33 | (7) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (m_Down(v1) = v2) | ~ (m_Down(v0) = v2))
% 29.86/8.33 | (8) host(all_0_7_7) = all_0_12_12
% 29.86/8.33 | (9) setIn(all_0_7_7, alive) = 0
% 29.86/8.33 | (10) ! [v0] : ! [v1] : ( ~ (leq(v1, v0) = 0) | ~ (s(v0) = v1))
% 29.86/8.33 | (11) ~ (all_0_22_22 = 0)
% 29.86/8.33 | (12) ! [v0] : ! [v1] : ( ~ (m_Halt(v0) = v1) | pidMsg(v1) = v0)
% 29.86/8.33 | (13) ordered(q_nil) = 0
% 29.86/8.33 | (14) index(status, all_0_17_17) = elec_2
% 29.86/8.33 | (15) ! [v0] : ! [v1] : ! [v2] : ( ~ (m_NormQ(v1) = v2) | ~ (m_Ldr(v0) = v2))
% 29.86/8.33 | (16) s(all_0_6_6) = all_0_5_5
% 29.86/8.33 | (17) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (snoc(v2, v1) = v3) | ~ (elem(v0, v3) = 0) | elem(v0, v2) = 0)
% 29.86/8.33 | (18) leq(nbr_proc, all_0_5_5) = 0
% 29.86/8.33 | (19) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (m_Halt(v1) = v2) | ~ (host(v0) = v3) | ~ (queue(v3) = v4) | ~ (elem(v2, v4) = 0) | ? [v5] : ? [v6] : ( ~ (v6 = 0) & leq(v3, v5) = v6 & host(v1) = v5))
% 29.86/8.33 | (20) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leq(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & leq(v1, v2) = v4))
% 29.86/8.33 | (21) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ordered(v1) = v2) | ~ (pidElem(v0) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (ordered(v4) = v5 & pidMsg(v0) = v6 & snoc(v1, v0) = v4 & host(v6) = v7 & ( ~ (v5 = 0) | (v2 = 0 & ! [v8] : ! [v9] : ! [v10] : ( ~ (v3 = 0) | v10 = 0 | ~ (pidMsg(v8) = v9) | ~ (leq(v9, v6) = v10) | ? [v11] : ? [v12] : ? [v13] : (pidElem(v8) = v12 & host(v9) = v13 & elem(v8, v1) = v11 & ( ~ (v13 = v7) | ~ (v12 = 0) | ~ (v11 = 0))))))))
% 29.86/8.33 | (22) index(pendack, all_0_17_17) = all_0_14_14
% 29.86/8.33 | (23) ~ (norm = elec_2)
% 29.86/8.33 | (24) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tail(v2) = v1) | ~ (tail(v2) = v0))
% 29.86/8.33 | (25) ! [v0] : ! [v1] : ( ~ (snoc(q_nil, v0) = v1) | ordered(v1) = 0)
% 29.86/8.33 | (26) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (m_Ack(v2, v0) = v3) | ~ (host(v1) = v4) | ~ (queue(v4) = v5) | ~ (elem(v3, v5) = 0) | ? [v6] : ? [v7] : ? [v8] : ( ~ (v8 = 0) & leq(v6, v7) = v8 & host(v2) = v7 & host(v0) = v6))
% 29.86/8.34 | (27) ! [v0] : ! [v1] : ! [v2] : ( ~ (cons(v0, v1) = v2) | head(v2) = v0)
% 29.86/8.34 | (28) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (snoc(v2, v1) = v3) | ~ (elem(v0, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & elem(v0, v2) = v5))
% 29.86/8.34 | (29) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (m_Ack(v0, v1) = v2) | ~ (host(v0) = v3) | ~ (queue(v3) = v4) | ~ (elem(v2, v4) = 0) | (setIn(v1, pids) = 0 & setIn(v0, pids) = 0))
% 29.86/8.34 | (30) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (snoc(v3, v2) = v1) | ~ (snoc(v3, v2) = v0))
% 29.86/8.34 | (31) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (index(v3, v2) = v1) | ~ (index(v3, v2) = v0))
% 29.86/8.34 | (32) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (m_NotNorm(v2) = v1) | ~ (m_NotNorm(v2) = v0))
% 29.86/8.34 | (33) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v6 = 0 | ~ (index(pendack, v3) = v4) | ~ (m_Halt(v2) = v7) | ~ (leq(v4, v5) = v6) | ~ (host(v2) = v3) | ~ (host(v1) = v8) | ~ (host(v0) = v5) | ~ (queue(v8) = v9) | ~ (elem(v7, v9) = 0) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (index(ldr, v5) = v13 & index(status, v5) = v14 & index(status, v3) = v11 & setIn(v2, alive) = v10 & setIn(v0, alive) = v12 & ( ~ (v14 = norm) | ~ (v13 = v5) | ~ (v12 = 0) | ~ (v11 = elec_2) | ~ (v10 = 0))))
% 29.86/8.34 | (34) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (elem(v3, v2) = v1) | ~ (elem(v3, v2) = v0))
% 29.86/8.34 | (35) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | v0 = q_nil | ~ (tail(v0) = v2) | ~ (cons(v1, v2) = v3) | ~ (head(v0) = v1))
% 29.86/8.34 | (36) cons(all_0_15_15, all_0_21_21) = all_0_16_16
% 29.86/8.34 | (37) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (m_Ack(v3, v2) = v1) | ~ (m_Ack(v3, v2) = v0))
% 29.86/8.34 | (38) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (m_Ack(v0, v1) = v4) | ~ (host(v0) = v3) | ~ (queue(v3) = v5) | ~ (elem(v4, v5) = 0) | ~ (setIn(v2, alive) = 0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (index(status, v7) = v10 & index(status, v3) = v9 & host(v2) = v7 & host(v1) = v8 & setIn(v0, alive) = v6 & ( ~ (v10 = elec_2) | ~ (v9 = elec_2) | ~ (v8 = v7) | ~ (v6 = 0))))
% 29.86/8.34 | (39) ! [v0] : ! [v1] : (v1 = v0 | ~ (leq(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & leq(v1, v0) = v2))
% 29.86/8.34 | (40) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (m_Down(v2) = v1) | ~ (m_Down(v2) = v0))
% 29.86/8.34 | (41) ! [v0] : ! [v1] : ! [v2] : ( ~ (m_Ldr(v0) = v2) | ~ (m_NotNorm(v1) = v2))
% 29.86/8.34 | (42) setIn(all_0_19_19, alive) = 0
% 29.86/8.34 | (43) ! [v0] : ! [v1] : ( ~ (host(v0) = v1) | leq(all_0_23_23, v1) = 0)
% 29.86/8.34 | (44) queue(all_0_12_12) = all_0_3_3
% 29.86/8.34 | (45) ! [v0] : ! [v1] : (v1 = v0 | ~ (setIn(v1, alive) = 0) | ~ (setIn(v0, alive) = 0) | ? [v2] : ? [v3] : ( ~ (v3 = v2) & host(v1) = v2 & host(v0) = v3))
% 29.86/8.34 | (46) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (m_Down(v2) = v4) | ~ (m_Down(v1) = v6) | ~ (host(v3) = nbr_proc) | ~ (host(v0) = v7) | ~ (queue(v7) = v8) | ~ (queue(nbr_proc) = v5) | ~ (elem(v6, v8) = 0) | ~ (elem(v4, v5) = 0) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : (index(down, nbr_proc) = v9 & index(status, nbr_proc) = v12 & host(v2) = v10 & host(v1) = v11 & setIn(v0, alive) = v13 & ( ~ (v13 = 0) | ~ (v12 = elec_1) | ~ (v11 = nbr_proc) | (v16 = 0 & ~ (v17 = 0) & ~ (v15 = 0) & ~ (v14 = v10) & leq(all_0_23_23, v14) = 0 & leq(nbr_proc, v14) = v15 & setIn(v14, v9) = v17))))
% 29.86/8.34 | (47) leq(all_0_23_23, nbr_proc) = 0
% 29.86/8.34 | (48) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (head(v2) = v1) | ~ (head(v2) = v0))
% 29.86/8.34 | (49) ~ (elec_1 = elec_2)
% 29.86/8.34 | (50) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (host(v2) = v1) | ~ (host(v2) = v0))
% 29.86/8.34 | (51) m_Ack(all_0_7_7, all_0_9_9) = all_0_1_1
% 29.86/8.34 | (52) ~ (norm = elec_1)
% 29.86/8.34 | (53) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cons(v1, v2) = v3) | ~ (elem(v0, v3) = 0) | elem(v0, v2) = 0)
% 29.86/8.35 | (54) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (m_NormQ(v1) = v2) | ~ (m_NormQ(v0) = v2))
% 29.86/8.35 | (55) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (m_Halt(v2) = v1) | ~ (m_Halt(v2) = v0))
% 29.86/8.35 | (56) ~ (norm = wait)
% 29.86/8.35 | (57) host(all_0_8_8) = all_0_5_5
% 29.86/8.35 | (58) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (cons(v1, v2) = v3) | ~ (elem(v0, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & elem(v0, v2) = v5))
% 29.86/8.35 | (59) m_Halt(all_0_19_19) = all_0_11_11
% 29.86/8.35 | (60) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0))
% 29.86/8.35 | (61) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (snoc(v2, v1) = v3) | ~ (cons(v0, v3) = v4) | ? [v5] : (snoc(v5, v1) = v4 & cons(v0, v2) = v5))
% 29.86/8.35 | (62) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (queue(v2) = v1) | ~ (queue(v2) = v0))
% 29.86/8.35 | (63) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (host(v0) = v2) | ~ (host(v0) = v1))
% 29.86/8.35 | (64) ! [v0] : ! [v1] : ! [v2] : ( ~ (ordered(v1) = 0) | ~ (pidElem(v0) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (ordered(v5) = v6 & pidMsg(v0) = v3 & cons(v0, v1) = v5 & host(v3) = v4 & (v6 = 0 | (v11 = v4 & v9 = 0 & v8 = 0 & v2 = 0 & ~ (v12 = 0) & pidMsg(v7) = v10 & pidElem(v7) = 0 & leq(v3, v10) = v12 & host(v10) = v4 & elem(v7, v1) = 0))))
% 29.86/8.35 | (65) index(status, all_0_0_0) = norm
% 29.86/8.35 | (66) ! [v0] : ! [v1] : ! [v2] : ( ~ (m_NotNorm(v1) = v2) | ~ (m_Down(v0) = v2))
% 29.86/8.35 | (67) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (last(v2) = v1) | ~ (last(v2) = v0))
% 29.86/8.35 | (68) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (pidElem(v0) = v1) | ~ (m_Halt(v2) = v0))
% 29.86/8.35 | (69) ! [v0] : ! [v1] : ! [v2] : ( ~ (snoc(v1, v0) = v2) | init(v2) = v1)
% 29.86/8.35 | (70) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (init(v2) = v1) | ~ (init(v2) = v0))
% 29.86/8.35 | (71) ! [v0] : ! [v1] : ! [v2] : ( ~ (m_NotNorm(v0) = v2) | ~ (m_Halt(v1) = v2))
% 29.86/8.35 | (72) ! [v0] : ! [v1] : ( ~ (cons(v0, q_nil) = v1) | ordered(v1) = 0)
% 29.86/8.35 | (73) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (m_Ldr(v1) = v2) | ~ (host(v0) = v3) | ~ (queue(v3) = v4) | ~ (elem(v2, v4) = 0) | ? [v5] : ? [v6] : ( ~ (v6 = 0) & leq(v3, v5) = v6 & host(v1) = v5))
% 29.86/8.35 | (74) ! [v0] : ! [v1] : ! [v2] : ( ~ (m_NormQ(v0) = v2) | ~ (m_NotNorm(v1) = v2))
% 29.86/8.35 | (75) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (setIn(v3, v2) = v1) | ~ (setIn(v3, v2) = v0))
% 29.86/8.35 | (76) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | v0 = q_nil | ~ (init(v0) = v1) | ~ (snoc(v1, v2) = v3) | ~ (last(v0) = v2))
% 29.86/8.35 | (77) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (m_NotNorm(v1) = v2) | ~ (m_NotNorm(v0) = v2))
% 29.86/8.35 | (78) ! [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (leq(v0, v2) = 0) | ~ (s(v1) = v2) | leq(v0, v1) = 0)
% 29.86/8.35 | (79) s(all_0_14_14) = all_0_12_12
% 29.86/8.35 | (80) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (m_Ldr(v1) = v2) | ~ (m_Ldr(v0) = v2))
% 29.86/8.35 | (81) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (snoc(v1, v0) = v2) | ~ (elem(v0, v2) = v3))
% 29.86/8.35 | (82) ! [v0] : ! [v1] : ( ~ (m_Down(v0) = v1) | pidMsg(v1) = v0)
% 29.86/8.35 | (83) ~ (wait = elec_2)
% 29.86/8.35 | (84) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (m_NormQ(v2) = v3) | ~ (m_Ack(v0, v1) = v3))
% 29.86/8.35 | (85) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (m_Down(v2) = v3) | ~ (m_Ack(v0, v1) = v3))
% 29.86/8.35 | (86) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (m_Ldr(v2) = v1) | ~ (m_Ldr(v2) = v0))
% 29.86/8.35 | (87) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0))
% 29.86/8.35 | (88) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (cons(v3, v0) = v4) | ~ (m_Down(v2) = v5) | ~ (m_Halt(v1) = v3) | ~ (elem(v5, v0) = 0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (ordered(v4) = v6 & leq(v1, v2) = v9 & host(v2) = v8 & host(v1) = v7 & ( ~ (v8 = v7) | ~ (v6 = 0) | v9 = 0)))
% 29.86/8.36 | (89) elem(all_0_4_4, all_0_2_2) = 0
% 29.86/8.36 | (90) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (m_Ack(v1, v3) = v4) | ~ (m_Ack(v0, v2) = v4))
% 29.86/8.36 | (91) ! [v0] : ! [v1] : ! [v2] : ( ~ (m_Down(v0) = v2) | ~ (m_Halt(v1) = v2))
% 29.86/8.36 | (92) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (cons(v0, v1) = v2) | ~ (elem(v0, v2) = v3))
% 29.86/8.36 | (93) index(pendack, all_0_12_12) = all_0_6_6
% 29.86/8.36 | (94) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (m_Halt(v1) = v2) | ~ (m_Halt(v0) = v2))
% 29.86/8.36 | (95) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (m_Down(v2) = v4) | ~ (m_Ack(v3, v1) = v7) | ~ (host(v3) = v5) | ~ (queue(v5) = v6) | ~ (elem(v7, v6) = 0) | ~ (elem(v4, v6) = 0) | ~ (setIn(v0, alive) = 0) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : (index(ldr, v15) = v16 & index(status, v15) = v17 & index(status, v5) = v12 & index(pendack, v5) = v9 & leq(nbr_proc, v10) = v11 & s(v9) = v10 & host(v2) = v14 & host(v1) = v13 & host(v0) = v15 & setIn(v3, alive) = v8 & ( ~ (v17 = norm) | ~ (v16 = v15) | ~ (v14 = v10) | ~ (v13 = v9) | ~ (v12 = elec_2) | ~ (v11 = 0) | ~ (v8 = 0))))
% 29.86/8.36 | (96) ! [v0] : ! [v1] : ! [v2] : ( ~ (snoc(v1, v0) = v2) | last(v2) = v0)
% 29.86/8.36 | (97) s(zero) = all_0_23_23
% 29.86/8.36 | (98) m_Ack(all_0_20_20, all_0_18_18) = all_0_15_15
% 29.86/8.36 | (99) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leq(v0, v2) = v3) | ~ (s(v1) = v2) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4))
% 29.86/8.36 | (100) m_Down(all_0_8_8) = all_0_4_4
% 29.86/8.36 | (101) snoc(all_0_3_3, all_0_11_11) = all_0_2_2
% 29.86/8.36 | (102) ~ (wait = elec_1)
% 29.86/8.36 | (103) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (m_Down(v1) = v2) | ~ (host(v0) = v3) | ~ (queue(v3) = v4) | ~ (elem(v2, v4) = 0) | ? [v5] : ( ~ (v5 = v3) & host(v1) = v5))
% 29.86/8.36 | (104) host(all_0_10_10) = all_0_0_0
% 29.86/8.36 | (105) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ordered(v1) = v2) | ~ (pidElem(v0) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (ordered(v4) = v5 & pidMsg(v0) = v6 & cons(v0, v1) = v4 & host(v6) = v7 & ( ~ (v5 = 0) | (v2 = 0 & ! [v8] : ! [v9] : ! [v10] : ( ~ (v3 = 0) | v10 = 0 | ~ (pidMsg(v8) = v9) | ~ (leq(v6, v9) = v10) | ? [v11] : ? [v12] : ? [v13] : (pidElem(v8) = v12 & host(v9) = v13 & elem(v8, v1) = v11 & ( ~ (v13 = v7) | ~ (v12 = 0) | ~ (v11 = 0))))))))
% 29.86/8.36 | (106) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (m_Ack(v1, v0) = v3) | ~ (host(v1) = v2) | ~ (queue(v2) = v4) | ~ (elem(v3, v4) = 0) | ? [v5] : ? [v6] : (index(status, v2) = v6 & setIn(v1, alive) = v5 & ( ~ (v6 = elec_1) | ~ (v5 = 0))))
% 29.86/8.36 | (107) ! [v0] : ! [v1] : ! [v2] : ( ~ (m_Ldr(v1) = v2) | ~ (m_Down(v0) = v2))
% 29.86/8.36 | (108) ! [v0] : ! [v1] : ! [v2] : ( ~ (m_Ldr(v0) = v2) | ~ (m_Halt(v1) = v2))
% 29.86/8.36 | (109) elem(all_0_1_1, all_0_2_2) = 0
% 29.86/8.36 | (110) leq(nbr_proc, all_0_14_14) = all_0_13_13
% 29.86/8.36 | (111) ! [v0] : ( ~ (setIn(v0, alive) = 0) | ? [v1] : ? [v2] : ? [v3] : (index(elid, v1) = v3 & index(status, v1) = v2 & host(v0) = v1 & (v3 = v0 | ( ~ (v2 = elec_1) & ~ (v2 = elec_2)))))
% 29.86/8.36 | (112) ! [v0] : ! [v1] : ( ~ (host(v0) = v1) | leq(v1, nbr_proc) = 0)
% 29.86/8.36 | (113) setIn(nil, alive) = all_0_22_22
% 29.86/8.36 | (114) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (index(pendack, v3) = v4) | ~ (leq(v4, v2) = v5) | ~ (host(v1) = v3) | ~ (host(v0) = v2) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (index(status, v3) = v10 & index(status, v2) = v9 & leq(v2, v3) = v6 & setIn(v1, alive) = v8 & setIn(v0, alive) = v7 & ( ~ (v10 = elec_2) | ~ (v9 = elec_2) | ~ (v8 = 0) | ~ (v7 = 0) | v6 = 0)))
% 29.86/8.36 | (115) ! [v0] : ! [v1] : ! [v2] : ( ~ (ordered(v1) = 0) | ~ (pidElem(v0) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (ordered(v5) = v6 & pidMsg(v0) = v3 & snoc(v1, v0) = v5 & host(v3) = v4 & (v6 = 0 | (v11 = v4 & v9 = 0 & v8 = 0 & v2 = 0 & ~ (v12 = 0) & pidMsg(v7) = v10 & pidElem(v7) = 0 & leq(v10, v3) = v12 & host(v10) = v4 & elem(v7, v1) = 0))))
% 29.86/8.37 | (116) index(elid, all_0_17_17) = all_0_20_20
% 29.86/8.37 | (117) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (m_Ldr(v0) = v2) | ~ (m_Ldr(v0) = v1))
% 29.86/8.37 | (118) ! [v0] : ~ (setIn(v0, setEmpty) = 0)
% 29.86/8.37 | (119) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (m_NotNorm(v2) = v3) | ~ (m_Ack(v0, v1) = v3))
% 29.86/8.37 | (120) ! [v0] : ! [v1] : ! [v2] : ( ~ (host(v1) = v2) | ~ (host(v0) = v2) | ? [v3] : ( ~ (v3 = v2) & s(v2) = v3))
% 29.86/8.37 | (121) queue(all_0_17_17) = all_0_16_16
% 29.86/8.37 | (122) host(all_0_18_18) = all_0_14_14
% 29.86/8.37 | (123) setIn(all_0_10_10, alive) = 0
% 29.86/8.37 | (124) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (m_NormQ(v0) = v2) | ~ (m_NormQ(v0) = v1))
% 29.86/8.37 | (125) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (m_NormQ(v2) = v1) | ~ (m_NormQ(v2) = v0))
% 29.86/8.37 | (126) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (pidMsg(v2) = v1) | ~ (pidMsg(v2) = v0))
% 30.10/8.37 | (127) ! [v0] : ! [v1] : ! [v2] : ( ~ (m_NormQ(v1) = v2) | ~ (m_Down(v0) = v2))
% 30.10/8.37 | (128) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (m_NotNorm(v0) = v2) | ~ (m_NotNorm(v0) = v1))
% 30.10/8.37 | (129) ! [v0] : ! [v1] : ~ (snoc(v1, v0) = q_nil)
% 30.10/8.37 | (130) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (m_Halt(v0) = v2) | ~ (m_Halt(v0) = v1))
% 30.10/8.37 | (131) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ordered(v2) = v1) | ~ (ordered(v2) = v0))
% 30.10/8.37 | (132) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (m_Down(v1) = v3) | ~ (host(v2) = v4) | ~ (queue(v4) = v5) | ~ (elem(v3, v5) = 0) | ~ (setIn(v0, alive) = 0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (index(ldr, v8) = v9 & index(status, v8) = v10 & host(v1) = v7 & host(v0) = v8 & setIn(v2, alive) = v6 & ( ~ (v10 = norm) | ~ (v9 = v7) | ~ (v8 = v7) | ~ (v6 = 0))))
% 30.10/8.37 | (133) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (pidElem(v2) = v1) | ~ (pidElem(v2) = v0))
% 30.10/8.37 | (134) ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1))
% 30.10/8.37 | (135) ~ (all_0_12_12 = all_0_17_17)
% 30.10/8.37 | (136) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (leq(v2, v3) = v4) | ~ (s(v1) = v3) | ~ (s(v0) = v2) | ? [v5] : ( ~ (v5 = 0) & leq(v0, v1) = v5))
% 30.10/8.37 | (137) ! [v0] : ~ (elem(v0, q_nil) = 0)
% 30.10/8.37 | (138) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (m_Down(v0) = v2) | ~ (m_Down(v0) = v1))
% 30.10/8.37 | (139) index(status, all_0_12_12) = elec_2
% 30.10/8.37 | (140) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (s(v2) = v1) | ~ (s(v2) = v0))
% 30.10/8.37 | (141) index(ldr, all_0_0_0) = all_0_0_0
% 30.10/8.37 | (142) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (leq(v2, v3) = 0) | ~ (s(v1) = v3) | ~ (s(v0) = v2) | leq(v0, v1) = 0)
% 30.10/8.37 | (143) ! [v0] : ! [v1] : ! [v2] : ( ~ (cons(v0, v1) = v2) | tail(v2) = v1)
% 30.10/8.37 | (144) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (pidElem(v0) = v1) | ~ (m_Down(v2) = v0))
% 30.10/8.37 | (145) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (leq(v0, v0) = v2) | ~ (s(v1) = v0))
% 30.10/8.37 | (146) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (snoc(v0, v2) = v3) | ~ (m_Ldr(v1) = v2) | ? [v4] : ? [v5] : (ordered(v3) = v5 & ordered(v0) = v4 & ( ~ (v4 = 0) | v5 = 0)))
% 30.10/8.37 | (147) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (index(pendack, v3) = v5) | ~ (index(pendack, v2) = v4) | ~ (leq(v4, v5) = 0) | ~ (host(v1) = v3) | ~ (host(v0) = v2) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (index(status, v3) = v10 & index(status, v2) = v9 & leq(v2, v3) = v6 & setIn(v1, alive) = v8 & setIn(v0, alive) = v7 & ( ~ (v10 = elec_2) | ~ (v9 = elec_2) | ~ (v8 = 0) | ~ (v7 = 0) | v6 = 0)))
% 30.10/8.37 | (148) ! [v0] : ( ~ (pidElem(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : (m_Down(v1) = v3 & m_Halt(v1) = v2 & (v3 = v0 | v2 = v0)))
% 30.10/8.37 | (149) host(all_0_19_19) = all_0_17_17
% 30.10/8.37 | (150) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (leq(v0, v1) = v2) | leq(v1, v0) = 0)
% 30.10/8.37 | (151) host(all_0_9_9) = all_0_6_6
% 30.10/8.37 | (152) ! [v0] : ! [v1] : ~ (cons(v0, v1) = q_nil)
% 30.10/8.37 | (153) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (m_Ldr(v2) = v3) | ~ (m_Ack(v0, v1) = v3))
% 30.10/8.37 | (154) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (index(pendack, v2) = v4) | ~ (leq(v3, v4) = v5) | ~ (host(v1) = v2) | ~ (host(v0) = v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (m_Ack(v1, v0) = v7 & queue(v2) = v8 & elem(v7, v8) = v9 & setIn(v1, alive) = v6 & ( ~ (v9 = 0) | ~ (v6 = 0))))
% 30.10/8.37 | (155) ~ (all_0_13_13 = 0)
% 30.10/8.37 |
% 30.10/8.37 | Instantiating formula (91) with all_0_11_11, all_0_19_19, all_0_8_8 and discharging atoms m_Halt(all_0_19_19) = all_0_11_11, yields:
% 30.10/8.38 | (156) ~ (m_Down(all_0_8_8) = all_0_11_11)
% 30.10/8.38 |
% 30.10/8.38 | Instantiating formula (4) with all_0_11_11, all_0_19_19, all_0_9_9, all_0_7_7 and discharging atoms m_Halt(all_0_19_19) = all_0_11_11, yields:
% 30.10/8.38 | (157) ~ (m_Ack(all_0_7_7, all_0_9_9) = all_0_11_11)
% 30.10/8.38 |
% 30.10/8.38 | Using (100) and (156) yields:
% 30.10/8.38 | (158) ~ (all_0_4_4 = all_0_11_11)
% 30.10/8.38 |
% 30.10/8.38 | Using (51) and (157) yields:
% 30.10/8.38 | (159) ~ (all_0_1_1 = all_0_11_11)
% 30.10/8.38 |
% 30.10/8.38 | Instantiating formula (39) with all_0_5_5, nbr_proc and discharging atoms leq(nbr_proc, all_0_5_5) = 0, yields:
% 30.10/8.38 | (160) all_0_5_5 = nbr_proc | ? [v0] : ( ~ (v0 = 0) & leq(all_0_5_5, nbr_proc) = v0)
% 30.10/8.38 |
% 30.10/8.38 | Instantiating formula (142) with nbr_proc, nbr_proc, all_0_6_6, all_0_6_6 yields:
% 30.10/8.38 | (161) ~ (leq(nbr_proc, nbr_proc) = 0) | ~ (s(all_0_6_6) = nbr_proc) | leq(all_0_6_6, all_0_6_6) = 0
% 30.10/8.38 |
% 30.10/8.38 | Instantiating formula (112) with all_0_5_5, all_0_8_8 and discharging atoms host(all_0_8_8) = all_0_5_5, yields:
% 30.10/8.38 | (162) leq(all_0_5_5, nbr_proc) = 0
% 30.10/8.38 |
% 30.10/8.38 | Instantiating formula (120) with all_0_6_6, all_0_9_9, all_0_9_9 and discharging atoms host(all_0_9_9) = all_0_6_6, yields:
% 30.10/8.38 | (163) ? [v0] : ( ~ (v0 = all_0_6_6) & s(all_0_6_6) = v0)
% 30.10/8.38 |
% 30.10/8.38 | Instantiating formula (154) with all_0_13_13, all_0_14_14, nbr_proc, all_0_17_17, all_0_19_19, all_0_8_8 and discharging atoms index(pendack, all_0_17_17) = all_0_14_14, leq(nbr_proc, all_0_14_14) = all_0_13_13, host(all_0_19_19) = all_0_17_17, yields:
% 30.10/8.38 | (164) all_0_13_13 = 0 | ~ (host(all_0_8_8) = nbr_proc) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (m_Ack(all_0_19_19, all_0_8_8) = v1 & queue(all_0_17_17) = v2 & elem(v1, v2) = v3 & setIn(all_0_19_19, alive) = v0 & ( ~ (v3 = 0) | ~ (v0 = 0)))
% 30.10/8.38 |
% 30.10/8.38 | Instantiating formula (26) with all_0_3_3, all_0_12_12, all_0_1_1, all_0_7_7, all_0_7_7, all_0_9_9 and discharging atoms m_Ack(all_0_7_7, all_0_9_9) = all_0_1_1, host(all_0_7_7) = all_0_12_12, queue(all_0_12_12) = all_0_3_3, yields:
% 30.10/8.38 | (165) ~ (elem(all_0_1_1, all_0_3_3) = 0) | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = 0) & leq(v0, v1) = v2 & host(all_0_7_7) = v1 & host(all_0_9_9) = v0)
% 30.10/8.38 |
% 30.10/8.38 | Instantiating formula (29) with all_0_3_3, all_0_12_12, all_0_1_1, all_0_9_9, all_0_7_7 and discharging atoms m_Ack(all_0_7_7, all_0_9_9) = all_0_1_1, host(all_0_7_7) = all_0_12_12, queue(all_0_12_12) = all_0_3_3, yields:
% 30.10/8.38 | (166) ~ (elem(all_0_1_1, all_0_3_3) = 0) | (setIn(all_0_7_7, pids) = 0 & setIn(all_0_9_9, pids) = 0)
% 30.10/8.38 |
% 30.10/8.38 | Instantiating formula (17) with all_0_2_2, all_0_3_3, all_0_11_11, all_0_1_1 and discharging atoms snoc(all_0_3_3, all_0_11_11) = all_0_2_2, elem(all_0_1_1, all_0_2_2) = 0, yields:
% 30.10/8.38 | (167) all_0_1_1 = all_0_11_11 | elem(all_0_1_1, all_0_3_3) = 0
% 30.10/8.38 |
% 30.10/8.38 | Instantiating formula (103) with all_0_3_3, all_0_12_12, all_0_4_4, all_0_8_8, all_0_7_7 and discharging atoms m_Down(all_0_8_8) = all_0_4_4, host(all_0_7_7) = all_0_12_12, queue(all_0_12_12) = all_0_3_3, yields:
% 30.10/8.38 | (168) ~ (elem(all_0_4_4, all_0_3_3) = 0) | ? [v0] : ( ~ (v0 = all_0_12_12) & host(all_0_8_8) = v0)
% 30.10/8.38 |
% 30.10/8.38 | Instantiating formula (17) with all_0_2_2, all_0_3_3, all_0_11_11, all_0_4_4 and discharging atoms snoc(all_0_3_3, all_0_11_11) = all_0_2_2, elem(all_0_4_4, all_0_2_2) = 0, yields:
% 30.10/8.38 | (169) all_0_4_4 = all_0_11_11 | elem(all_0_4_4, all_0_3_3) = 0
% 30.10/8.38 |
% 30.10/8.38 | Instantiating formula (132) with all_0_3_3, all_0_12_12, all_0_4_4, all_0_7_7, all_0_8_8, all_0_7_7 and discharging atoms m_Down(all_0_8_8) = all_0_4_4, host(all_0_7_7) = all_0_12_12, queue(all_0_12_12) = all_0_3_3, setIn(all_0_7_7, alive) = 0, yields:
% 30.10/8.38 | (170) ~ (elem(all_0_4_4, all_0_3_3) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (index(ldr, v2) = v3 & index(status, v2) = v4 & host(all_0_7_7) = v2 & host(all_0_8_8) = v1 & setIn(all_0_7_7, alive) = v0 & ( ~ (v4 = norm) | ~ (v3 = v1) | ~ (v2 = v1) | ~ (v0 = 0)))
% 30.10/8.38 |
% 30.10/8.38 | Instantiating formula (38) with all_0_3_3, all_0_1_1, all_0_12_12, all_0_7_7, all_0_9_9, all_0_7_7 and discharging atoms m_Ack(all_0_7_7, all_0_9_9) = all_0_1_1, host(all_0_7_7) = all_0_12_12, queue(all_0_12_12) = all_0_3_3, setIn(all_0_7_7, alive) = 0, yields:
% 30.10/8.38 | (171) ~ (elem(all_0_1_1, all_0_3_3) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (index(status, v1) = v4 & index(status, all_0_12_12) = v3 & host(all_0_7_7) = v1 & host(all_0_9_9) = v2 & setIn(all_0_7_7, alive) = v0 & ( ~ (v4 = elec_2) | ~ (v3 = elec_2) | ~ (v2 = v1) | ~ (v0 = 0)))
% 30.10/8.38 |
% 30.10/8.38 | Instantiating formula (111) with all_0_7_7 and discharging atoms setIn(all_0_7_7, alive) = 0, yields:
% 30.10/8.38 | (172) ? [v0] : ? [v1] : ? [v2] : (index(elid, v0) = v2 & index(status, v0) = v1 & host(all_0_7_7) = v0 & (v2 = all_0_7_7 | ( ~ (v1 = elec_1) & ~ (v1 = elec_2))))
% 30.10/8.38 |
% 30.10/8.38 | Instantiating formula (132) with all_0_3_3, all_0_12_12, all_0_4_4, all_0_7_7, all_0_8_8, all_0_10_10 and discharging atoms m_Down(all_0_8_8) = all_0_4_4, host(all_0_7_7) = all_0_12_12, queue(all_0_12_12) = all_0_3_3, setIn(all_0_10_10, alive) = 0, yields:
% 30.10/8.38 | (173) ~ (elem(all_0_4_4, all_0_3_3) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (index(ldr, v2) = v3 & index(status, v2) = v4 & host(all_0_8_8) = v1 & host(all_0_10_10) = v2 & setIn(all_0_7_7, alive) = v0 & ( ~ (v4 = norm) | ~ (v3 = v1) | ~ (v2 = v1) | ~ (v0 = 0)))
% 30.10/8.38 |
% 30.10/8.38 | Instantiating formula (111) with all_0_10_10 and discharging atoms setIn(all_0_10_10, alive) = 0, yields:
% 30.10/8.38 | (174) ? [v0] : ? [v1] : ? [v2] : (index(elid, v0) = v2 & index(status, v0) = v1 & host(all_0_10_10) = v0 & (v2 = all_0_10_10 | ( ~ (v1 = elec_1) & ~ (v1 = elec_2))))
% 30.10/8.38 |
% 30.10/8.38 | Instantiating formula (132) with all_0_3_3, all_0_12_12, all_0_4_4, all_0_7_7, all_0_8_8, all_0_19_19 and discharging atoms m_Down(all_0_8_8) = all_0_4_4, host(all_0_7_7) = all_0_12_12, queue(all_0_12_12) = all_0_3_3, setIn(all_0_19_19, alive) = 0, yields:
% 30.10/8.38 | (175) ~ (elem(all_0_4_4, all_0_3_3) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (index(ldr, v2) = v3 & index(status, v2) = v4 & host(all_0_8_8) = v1 & host(all_0_19_19) = v2 & setIn(all_0_7_7, alive) = v0 & ( ~ (v4 = norm) | ~ (v3 = v1) | ~ (v2 = v1) | ~ (v0 = 0)))
% 30.10/8.38 |
% 30.10/8.38 | Instantiating formula (38) with all_0_3_3, all_0_1_1, all_0_12_12, all_0_19_19, all_0_9_9, all_0_7_7 and discharging atoms m_Ack(all_0_7_7, all_0_9_9) = all_0_1_1, host(all_0_7_7) = all_0_12_12, queue(all_0_12_12) = all_0_3_3, setIn(all_0_19_19, alive) = 0, yields:
% 30.10/8.38 | (176) ~ (elem(all_0_1_1, all_0_3_3) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (index(status, v1) = v4 & index(status, all_0_12_12) = v3 & host(all_0_9_9) = v2 & host(all_0_19_19) = v1 & setIn(all_0_7_7, alive) = v0 & ( ~ (v4 = elec_2) | ~ (v3 = elec_2) | ~ (v2 = v1) | ~ (v0 = 0)))
% 30.10/8.38 |
% 30.10/8.38 | Instantiating (172) with all_21_0_24, all_21_1_25, all_21_2_26 yields:
% 30.10/8.38 | (177) index(elid, all_21_2_26) = all_21_0_24 & index(status, all_21_2_26) = all_21_1_25 & host(all_0_7_7) = all_21_2_26 & (all_21_0_24 = all_0_7_7 | ( ~ (all_21_1_25 = elec_1) & ~ (all_21_1_25 = elec_2)))
% 30.10/8.38 |
% 30.10/8.38 | Applying alpha-rule on (177) yields:
% 30.10/8.38 | (178) index(elid, all_21_2_26) = all_21_0_24
% 30.10/8.38 | (179) index(status, all_21_2_26) = all_21_1_25
% 30.10/8.38 | (180) host(all_0_7_7) = all_21_2_26
% 30.10/8.38 | (181) all_21_0_24 = all_0_7_7 | ( ~ (all_21_1_25 = elec_1) & ~ (all_21_1_25 = elec_2))
% 30.10/8.38 |
% 30.10/8.38 | Instantiating (163) with all_23_0_27 yields:
% 30.10/8.38 | (182) ~ (all_23_0_27 = all_0_6_6) & s(all_0_6_6) = all_23_0_27
% 30.10/8.38 |
% 30.10/8.38 | Applying alpha-rule on (182) yields:
% 30.10/8.38 | (183) ~ (all_23_0_27 = all_0_6_6)
% 30.10/8.38 | (184) s(all_0_6_6) = all_23_0_27
% 30.10/8.38 |
% 30.10/8.38 | Instantiating (174) with all_29_0_32, all_29_1_33, all_29_2_34 yields:
% 30.10/8.38 | (185) index(elid, all_29_2_34) = all_29_0_32 & index(status, all_29_2_34) = all_29_1_33 & host(all_0_10_10) = all_29_2_34 & (all_29_0_32 = all_0_10_10 | ( ~ (all_29_1_33 = elec_1) & ~ (all_29_1_33 = elec_2)))
% 30.10/8.38 |
% 30.10/8.38 | Applying alpha-rule on (185) yields:
% 30.10/8.38 | (186) index(elid, all_29_2_34) = all_29_0_32
% 30.10/8.38 | (187) index(status, all_29_2_34) = all_29_1_33
% 30.10/8.38 | (188) host(all_0_10_10) = all_29_2_34
% 30.10/8.38 | (189) all_29_0_32 = all_0_10_10 | ( ~ (all_29_1_33 = elec_1) & ~ (all_29_1_33 = elec_2))
% 30.10/8.38 |
% 30.10/8.38 +-Applying beta-rule and splitting (167), into two cases.
% 30.10/8.38 |-Branch one:
% 30.10/8.38 | (190) elem(all_0_1_1, all_0_3_3) = 0
% 30.10/8.38 |
% 30.10/8.38 +-Applying beta-rule and splitting (160), into two cases.
% 30.10/8.38 |-Branch one:
% 30.10/8.38 | (191) all_0_5_5 = nbr_proc
% 30.10/8.38 |
% 30.10/8.38 | From (191) and (18) follows:
% 30.10/8.39 | (192) leq(nbr_proc, nbr_proc) = 0
% 30.10/8.39 |
% 30.10/8.39 | From (191) and (16) follows:
% 30.10/8.39 | (193) s(all_0_6_6) = nbr_proc
% 30.10/8.39 |
% 30.10/8.39 | From (191) and (57) follows:
% 30.10/8.39 | (194) host(all_0_8_8) = nbr_proc
% 30.10/8.39 |
% 30.10/8.39 +-Applying beta-rule and splitting (165), into two cases.
% 30.10/8.39 |-Branch one:
% 30.10/8.39 | (195) ~ (elem(all_0_1_1, all_0_3_3) = 0)
% 30.10/8.39 |
% 30.10/8.39 | Using (190) and (195) yields:
% 30.10/8.39 | (196) $false
% 30.10/8.39 |
% 30.10/8.39 |-The branch is then unsatisfiable
% 30.10/8.39 |-Branch two:
% 30.10/8.39 | (190) elem(all_0_1_1, all_0_3_3) = 0
% 30.10/8.39 | (198) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = 0) & leq(v0, v1) = v2 & host(all_0_7_7) = v1 & host(all_0_9_9) = v0)
% 30.10/8.39 |
% 30.10/8.39 | Instantiating (198) with all_50_0_39, all_50_1_40, all_50_2_41 yields:
% 30.10/8.39 | (199) ~ (all_50_0_39 = 0) & leq(all_50_2_41, all_50_1_40) = all_50_0_39 & host(all_0_7_7) = all_50_1_40 & host(all_0_9_9) = all_50_2_41
% 30.10/8.39 |
% 30.10/8.39 | Applying alpha-rule on (199) yields:
% 30.10/8.39 | (200) ~ (all_50_0_39 = 0)
% 30.10/8.39 | (201) leq(all_50_2_41, all_50_1_40) = all_50_0_39
% 30.10/8.39 | (202) host(all_0_7_7) = all_50_1_40
% 30.10/8.39 | (203) host(all_0_9_9) = all_50_2_41
% 30.10/8.39 |
% 30.10/8.39 +-Applying beta-rule and splitting (166), into two cases.
% 30.10/8.39 |-Branch one:
% 30.10/8.39 | (195) ~ (elem(all_0_1_1, all_0_3_3) = 0)
% 30.10/8.39 |
% 30.10/8.39 | Using (190) and (195) yields:
% 30.10/8.39 | (196) $false
% 30.10/8.39 |
% 30.10/8.39 |-The branch is then unsatisfiable
% 30.10/8.39 |-Branch two:
% 30.10/8.39 | (190) elem(all_0_1_1, all_0_3_3) = 0
% 30.10/8.39 | (207) setIn(all_0_7_7, pids) = 0 & setIn(all_0_9_9, pids) = 0
% 30.10/8.39 |
% 30.10/8.39 +-Applying beta-rule and splitting (169), into two cases.
% 30.10/8.39 |-Branch one:
% 30.10/8.39 | (208) elem(all_0_4_4, all_0_3_3) = 0
% 30.10/8.39 |
% 30.10/8.39 +-Applying beta-rule and splitting (171), into two cases.
% 30.10/8.39 |-Branch one:
% 30.10/8.39 | (195) ~ (elem(all_0_1_1, all_0_3_3) = 0)
% 30.10/8.39 |
% 30.10/8.39 | Using (190) and (195) yields:
% 30.10/8.39 | (196) $false
% 30.10/8.39 |
% 30.10/8.39 |-The branch is then unsatisfiable
% 30.10/8.39 |-Branch two:
% 30.10/8.39 | (190) elem(all_0_1_1, all_0_3_3) = 0
% 30.10/8.39 | (212) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (index(status, v1) = v4 & index(status, all_0_12_12) = v3 & host(all_0_7_7) = v1 & host(all_0_9_9) = v2 & setIn(all_0_7_7, alive) = v0 & ( ~ (v4 = elec_2) | ~ (v3 = elec_2) | ~ (v2 = v1) | ~ (v0 = 0)))
% 30.10/8.39 |
% 30.10/8.39 | Instantiating (212) with all_71_0_42, all_71_1_43, all_71_2_44, all_71_3_45, all_71_4_46 yields:
% 30.10/8.39 | (213) index(status, all_71_3_45) = all_71_0_42 & index(status, all_0_12_12) = all_71_1_43 & host(all_0_7_7) = all_71_3_45 & host(all_0_9_9) = all_71_2_44 & setIn(all_0_7_7, alive) = all_71_4_46 & ( ~ (all_71_0_42 = elec_2) | ~ (all_71_1_43 = elec_2) | ~ (all_71_2_44 = all_71_3_45) | ~ (all_71_4_46 = 0))
% 30.10/8.39 |
% 30.10/8.39 | Applying alpha-rule on (213) yields:
% 30.10/8.39 | (214) host(all_0_7_7) = all_71_3_45
% 30.10/8.39 | (215) ~ (all_71_0_42 = elec_2) | ~ (all_71_1_43 = elec_2) | ~ (all_71_2_44 = all_71_3_45) | ~ (all_71_4_46 = 0)
% 30.10/8.39 | (216) setIn(all_0_7_7, alive) = all_71_4_46
% 30.10/8.39 | (217) host(all_0_9_9) = all_71_2_44
% 30.10/8.39 | (218) index(status, all_71_3_45) = all_71_0_42
% 30.10/8.39 | (219) index(status, all_0_12_12) = all_71_1_43
% 30.10/8.39 |
% 30.10/8.39 +-Applying beta-rule and splitting (164), into two cases.
% 30.10/8.39 |-Branch one:
% 30.10/8.39 | (220) ~ (host(all_0_8_8) = nbr_proc)
% 30.10/8.39 |
% 30.10/8.39 | Using (194) and (220) yields:
% 30.10/8.39 | (196) $false
% 30.10/8.39 |
% 30.10/8.39 |-The branch is then unsatisfiable
% 30.10/8.39 |-Branch two:
% 30.10/8.39 | (194) host(all_0_8_8) = nbr_proc
% 30.10/8.39 | (223) all_0_13_13 = 0 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (m_Ack(all_0_19_19, all_0_8_8) = v1 & queue(all_0_17_17) = v2 & elem(v1, v2) = v3 & setIn(all_0_19_19, alive) = v0 & ( ~ (v3 = 0) | ~ (v0 = 0)))
% 30.10/8.39 |
% 30.10/8.39 +-Applying beta-rule and splitting (161), into two cases.
% 30.10/8.39 |-Branch one:
% 30.10/8.39 | (224) ~ (leq(nbr_proc, nbr_proc) = 0)
% 30.10/8.39 |
% 30.10/8.39 | Using (192) and (224) yields:
% 30.10/8.39 | (196) $false
% 30.10/8.39 |
% 30.10/8.39 |-The branch is then unsatisfiable
% 30.10/8.39 |-Branch two:
% 30.10/8.39 | (192) leq(nbr_proc, nbr_proc) = 0
% 30.10/8.39 | (227) ~ (s(all_0_6_6) = nbr_proc) | leq(all_0_6_6, all_0_6_6) = 0
% 30.10/8.39 |
% 30.10/8.39 +-Applying beta-rule and splitting (170), into two cases.
% 30.10/8.39 |-Branch one:
% 30.10/8.39 | (228) ~ (elem(all_0_4_4, all_0_3_3) = 0)
% 30.10/8.39 |
% 30.10/8.39 | Using (208) and (228) yields:
% 30.10/8.39 | (196) $false
% 30.10/8.39 |
% 30.10/8.39 |-The branch is then unsatisfiable
% 30.10/8.39 |-Branch two:
% 30.10/8.39 | (208) elem(all_0_4_4, all_0_3_3) = 0
% 30.10/8.39 | (231) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (index(ldr, v2) = v3 & index(status, v2) = v4 & host(all_0_7_7) = v2 & host(all_0_8_8) = v1 & setIn(all_0_7_7, alive) = v0 & ( ~ (v4 = norm) | ~ (v3 = v1) | ~ (v2 = v1) | ~ (v0 = 0)))
% 30.10/8.39 |
% 30.10/8.39 | Instantiating (231) with all_83_0_47, all_83_1_48, all_83_2_49, all_83_3_50, all_83_4_51 yields:
% 30.10/8.39 | (232) index(ldr, all_83_2_49) = all_83_1_48 & index(status, all_83_2_49) = all_83_0_47 & host(all_0_7_7) = all_83_2_49 & host(all_0_8_8) = all_83_3_50 & setIn(all_0_7_7, alive) = all_83_4_51 & ( ~ (all_83_0_47 = norm) | ~ (all_83_1_48 = all_83_3_50) | ~ (all_83_2_49 = all_83_3_50) | ~ (all_83_4_51 = 0))
% 30.10/8.39 |
% 30.10/8.39 | Applying alpha-rule on (232) yields:
% 30.10/8.39 | (233) setIn(all_0_7_7, alive) = all_83_4_51
% 30.10/8.39 | (234) host(all_0_7_7) = all_83_2_49
% 30.10/8.39 | (235) ~ (all_83_0_47 = norm) | ~ (all_83_1_48 = all_83_3_50) | ~ (all_83_2_49 = all_83_3_50) | ~ (all_83_4_51 = 0)
% 30.10/8.39 | (236) index(status, all_83_2_49) = all_83_0_47
% 30.10/8.39 | (237) index(ldr, all_83_2_49) = all_83_1_48
% 30.10/8.39 | (238) host(all_0_8_8) = all_83_3_50
% 30.10/8.39 |
% 30.10/8.39 +-Applying beta-rule and splitting (227), into two cases.
% 30.10/8.39 |-Branch one:
% 30.10/8.39 | (239) leq(all_0_6_6, all_0_6_6) = 0
% 30.10/8.39 |
% 30.10/8.39 +-Applying beta-rule and splitting (168), into two cases.
% 30.10/8.39 |-Branch one:
% 30.10/8.39 | (228) ~ (elem(all_0_4_4, all_0_3_3) = 0)
% 30.10/8.39 |
% 30.10/8.39 | Using (208) and (228) yields:
% 30.10/8.39 | (196) $false
% 30.10/8.39 |
% 30.10/8.39 |-The branch is then unsatisfiable
% 30.10/8.39 |-Branch two:
% 30.10/8.39 | (208) elem(all_0_4_4, all_0_3_3) = 0
% 30.10/8.39 | (243) ? [v0] : ( ~ (v0 = all_0_12_12) & host(all_0_8_8) = v0)
% 30.10/8.39 |
% 30.10/8.39 | Instantiating (243) with all_97_0_52 yields:
% 30.10/8.39 | (244) ~ (all_97_0_52 = all_0_12_12) & host(all_0_8_8) = all_97_0_52
% 30.10/8.39 |
% 30.10/8.39 | Applying alpha-rule on (244) yields:
% 30.10/8.39 | (245) ~ (all_97_0_52 = all_0_12_12)
% 30.10/8.39 | (246) host(all_0_8_8) = all_97_0_52
% 30.10/8.39 |
% 30.10/8.39 +-Applying beta-rule and splitting (175), into two cases.
% 30.10/8.39 |-Branch one:
% 30.10/8.39 | (228) ~ (elem(all_0_4_4, all_0_3_3) = 0)
% 30.10/8.39 |
% 30.10/8.39 | Using (208) and (228) yields:
% 30.10/8.39 | (196) $false
% 30.10/8.39 |
% 30.10/8.39 |-The branch is then unsatisfiable
% 30.10/8.39 |-Branch two:
% 30.10/8.39 | (208) elem(all_0_4_4, all_0_3_3) = 0
% 30.10/8.39 | (250) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (index(ldr, v2) = v3 & index(status, v2) = v4 & host(all_0_8_8) = v1 & host(all_0_19_19) = v2 & setIn(all_0_7_7, alive) = v0 & ( ~ (v4 = norm) | ~ (v3 = v1) | ~ (v2 = v1) | ~ (v0 = 0)))
% 30.10/8.39 |
% 30.10/8.39 | Instantiating (250) with all_102_0_53, all_102_1_54, all_102_2_55, all_102_3_56, all_102_4_57 yields:
% 30.10/8.39 | (251) index(ldr, all_102_2_55) = all_102_1_54 & index(status, all_102_2_55) = all_102_0_53 & host(all_0_8_8) = all_102_3_56 & host(all_0_19_19) = all_102_2_55 & setIn(all_0_7_7, alive) = all_102_4_57 & ( ~ (all_102_0_53 = norm) | ~ (all_102_1_54 = all_102_3_56) | ~ (all_102_2_55 = all_102_3_56) | ~ (all_102_4_57 = 0))
% 30.10/8.39 |
% 30.10/8.39 | Applying alpha-rule on (251) yields:
% 30.10/8.39 | (252) index(status, all_102_2_55) = all_102_0_53
% 30.10/8.39 | (253) host(all_0_19_19) = all_102_2_55
% 30.10/8.39 | (254) ~ (all_102_0_53 = norm) | ~ (all_102_1_54 = all_102_3_56) | ~ (all_102_2_55 = all_102_3_56) | ~ (all_102_4_57 = 0)
% 30.10/8.39 | (255) index(ldr, all_102_2_55) = all_102_1_54
% 30.10/8.39 | (256) host(all_0_8_8) = all_102_3_56
% 30.10/8.39 | (257) setIn(all_0_7_7, alive) = all_102_4_57
% 30.10/8.39 |
% 30.10/8.39 +-Applying beta-rule and splitting (173), into two cases.
% 30.10/8.39 |-Branch one:
% 30.10/8.39 | (228) ~ (elem(all_0_4_4, all_0_3_3) = 0)
% 30.10/8.39 |
% 30.10/8.39 | Using (208) and (228) yields:
% 30.10/8.39 | (196) $false
% 30.10/8.39 |
% 30.10/8.39 |-The branch is then unsatisfiable
% 30.10/8.39 |-Branch two:
% 30.10/8.39 | (208) elem(all_0_4_4, all_0_3_3) = 0
% 30.10/8.39 | (261) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (index(ldr, v2) = v3 & index(status, v2) = v4 & host(all_0_8_8) = v1 & host(all_0_10_10) = v2 & setIn(all_0_7_7, alive) = v0 & ( ~ (v4 = norm) | ~ (v3 = v1) | ~ (v2 = v1) | ~ (v0 = 0)))
% 30.10/8.39 |
% 30.10/8.40 | Instantiating (261) with all_107_0_58, all_107_1_59, all_107_2_60, all_107_3_61, all_107_4_62 yields:
% 30.10/8.40 | (262) index(ldr, all_107_2_60) = all_107_1_59 & index(status, all_107_2_60) = all_107_0_58 & host(all_0_8_8) = all_107_3_61 & host(all_0_10_10) = all_107_2_60 & setIn(all_0_7_7, alive) = all_107_4_62 & ( ~ (all_107_0_58 = norm) | ~ (all_107_1_59 = all_107_3_61) | ~ (all_107_2_60 = all_107_3_61) | ~ (all_107_4_62 = 0))
% 30.10/8.40 |
% 30.10/8.40 | Applying alpha-rule on (262) yields:
% 30.10/8.40 | (263) host(all_0_10_10) = all_107_2_60
% 30.10/8.40 | (264) index(status, all_107_2_60) = all_107_0_58
% 30.10/8.40 | (265) setIn(all_0_7_7, alive) = all_107_4_62
% 30.10/8.40 | (266) index(ldr, all_107_2_60) = all_107_1_59
% 30.10/8.40 | (267) host(all_0_8_8) = all_107_3_61
% 30.10/8.40 | (268) ~ (all_107_0_58 = norm) | ~ (all_107_1_59 = all_107_3_61) | ~ (all_107_2_60 = all_107_3_61) | ~ (all_107_4_62 = 0)
% 30.10/8.40 |
% 30.10/8.40 | Instantiating formula (31) with ldr, all_0_0_0, all_107_1_59, all_0_0_0 and discharging atoms index(ldr, all_0_0_0) = all_0_0_0, yields:
% 30.10/8.40 | (269) all_107_1_59 = all_0_0_0 | ~ (index(ldr, all_0_0_0) = all_107_1_59)
% 30.10/8.40 |
% 30.10/8.40 | Instantiating formula (31) with status, all_0_0_0, all_107_0_58, norm and discharging atoms index(status, all_0_0_0) = norm, yields:
% 30.10/8.40 | (270) all_107_0_58 = norm | ~ (index(status, all_0_0_0) = all_107_0_58)
% 30.10/8.40 |
% 30.10/8.40 | Instantiating formula (31) with status, all_29_2_34, all_29_1_33, all_107_0_58 and discharging atoms index(status, all_29_2_34) = all_29_1_33, yields:
% 30.10/8.40 | (271) all_107_0_58 = all_29_1_33 | ~ (index(status, all_29_2_34) = all_107_0_58)
% 30.10/8.40 |
% 30.10/8.40 | Instantiating formula (31) with status, all_21_2_26, all_21_1_25, all_71_0_42 and discharging atoms index(status, all_21_2_26) = all_21_1_25, yields:
% 30.10/8.40 | (272) all_71_0_42 = all_21_1_25 | ~ (index(status, all_21_2_26) = all_71_0_42)
% 30.10/8.40 |
% 30.10/8.40 | Instantiating formula (31) with status, all_0_12_12, all_71_1_43, elec_2 and discharging atoms index(status, all_0_12_12) = all_71_1_43, index(status, all_0_12_12) = elec_2, yields:
% 30.10/8.40 | (273) all_71_1_43 = elec_2
% 30.10/8.40 |
% 30.10/8.40 | Instantiating formula (31) with status, all_0_12_12, all_71_1_43, all_83_0_47 and discharging atoms index(status, all_0_12_12) = all_71_1_43, yields:
% 30.10/8.40 | (274) all_83_0_47 = all_71_1_43 | ~ (index(status, all_0_12_12) = all_83_0_47)
% 30.10/8.40 |
% 30.10/8.40 | Instantiating formula (31) with status, all_0_12_12, all_71_1_43, all_21_1_25 and discharging atoms index(status, all_0_12_12) = all_71_1_43, yields:
% 30.10/8.40 | (275) all_71_1_43 = all_21_1_25 | ~ (index(status, all_0_12_12) = all_21_1_25)
% 30.10/8.40 |
% 30.10/8.40 | Instantiating formula (140) with all_0_6_6, nbr_proc, all_23_0_27 and discharging atoms s(all_0_6_6) = all_23_0_27, s(all_0_6_6) = nbr_proc, yields:
% 30.10/8.40 | (276) all_23_0_27 = nbr_proc
% 30.10/8.40 |
% 30.10/8.40 | Instantiating formula (63) with all_83_2_49, all_0_12_12, all_0_7_7 and discharging atoms host(all_0_7_7) = all_83_2_49, host(all_0_7_7) = all_0_12_12, yields:
% 30.10/8.40 | (277) all_83_2_49 = all_0_12_12
% 30.10/8.40 |
% 30.10/8.40 | Instantiating formula (63) with all_71_3_45, all_83_2_49, all_0_7_7 and discharging atoms host(all_0_7_7) = all_83_2_49, host(all_0_7_7) = all_71_3_45, yields:
% 30.10/8.40 | (278) all_83_2_49 = all_71_3_45
% 30.10/8.40 |
% 30.10/8.40 | Instantiating formula (63) with all_50_1_40, all_71_3_45, all_0_7_7 and discharging atoms host(all_0_7_7) = all_71_3_45, host(all_0_7_7) = all_50_1_40, yields:
% 30.10/8.40 | (279) all_71_3_45 = all_50_1_40
% 30.10/8.40 |
% 30.10/8.40 | Instantiating formula (63) with all_21_2_26, all_71_3_45, all_0_7_7 and discharging atoms host(all_0_7_7) = all_71_3_45, host(all_0_7_7) = all_21_2_26, yields:
% 30.10/8.40 | (280) all_71_3_45 = all_21_2_26
% 30.10/8.40 |
% 30.10/8.40 | Instantiating formula (63) with all_102_3_56, all_107_3_61, all_0_8_8 and discharging atoms host(all_0_8_8) = all_107_3_61, host(all_0_8_8) = all_102_3_56, yields:
% 30.10/8.40 | (281) all_107_3_61 = all_102_3_56
% 30.10/8.40 |
% 30.10/8.40 | Instantiating formula (63) with all_97_0_52, all_107_3_61, all_0_8_8 and discharging atoms host(all_0_8_8) = all_107_3_61, host(all_0_8_8) = all_97_0_52, yields:
% 30.10/8.40 | (282) all_107_3_61 = all_97_0_52
% 30.10/8.40 |
% 30.10/8.40 | Instantiating formula (63) with all_83_3_50, all_102_3_56, all_0_8_8 and discharging atoms host(all_0_8_8) = all_102_3_56, host(all_0_8_8) = all_83_3_50, yields:
% 30.10/8.40 | (283) all_102_3_56 = all_83_3_50
% 30.10/8.40 |
% 30.10/8.40 | Instantiating formula (63) with nbr_proc, all_102_3_56, all_0_8_8 and discharging atoms host(all_0_8_8) = all_102_3_56, host(all_0_8_8) = nbr_proc, yields:
% 30.10/8.40 | (284) all_102_3_56 = nbr_proc
% 30.10/8.40 |
% 30.10/8.40 | Instantiating formula (63) with all_71_2_44, all_0_6_6, all_0_9_9 and discharging atoms host(all_0_9_9) = all_71_2_44, host(all_0_9_9) = all_0_6_6, yields:
% 30.10/8.40 | (285) all_71_2_44 = all_0_6_6
% 30.10/8.40 |
% 30.10/8.40 | Instantiating formula (63) with all_50_2_41, all_71_2_44, all_0_9_9 and discharging atoms host(all_0_9_9) = all_71_2_44, host(all_0_9_9) = all_50_2_41, yields:
% 30.10/8.40 | (286) all_71_2_44 = all_50_2_41
% 30.10/8.40 |
% 30.10/8.40 | Instantiating formula (63) with all_107_2_60, all_0_0_0, all_0_10_10 and discharging atoms host(all_0_10_10) = all_107_2_60, host(all_0_10_10) = all_0_0_0, yields:
% 30.10/8.40 | (287) all_107_2_60 = all_0_0_0
% 30.10/8.40 |
% 30.10/8.40 | Instantiating formula (63) with all_29_2_34, all_107_2_60, all_0_10_10 and discharging atoms host(all_0_10_10) = all_107_2_60, host(all_0_10_10) = all_29_2_34, yields:
% 30.10/8.40 | (288) all_107_2_60 = all_29_2_34
% 30.10/8.40 |
% 30.10/8.40 | Instantiating formula (75) with all_0_7_7, alive, all_102_4_57, 0 and discharging atoms setIn(all_0_7_7, alive) = all_102_4_57, setIn(all_0_7_7, alive) = 0, yields:
% 30.10/8.40 | (289) all_102_4_57 = 0
% 30.10/8.40 |
% 30.10/8.40 | Instantiating formula (75) with all_0_7_7, alive, all_102_4_57, all_107_4_62 and discharging atoms setIn(all_0_7_7, alive) = all_107_4_62, setIn(all_0_7_7, alive) = all_102_4_57, yields:
% 30.10/8.40 | (290) all_107_4_62 = all_102_4_57
% 30.10/8.40 |
% 30.10/8.40 | Instantiating formula (75) with all_0_7_7, alive, all_83_4_51, all_107_4_62 and discharging atoms setIn(all_0_7_7, alive) = all_107_4_62, setIn(all_0_7_7, alive) = all_83_4_51, yields:
% 30.10/8.40 | (291) all_107_4_62 = all_83_4_51
% 30.10/8.40 |
% 30.10/8.40 | Instantiating formula (75) with all_0_7_7, alive, all_71_4_46, all_102_4_57 and discharging atoms setIn(all_0_7_7, alive) = all_102_4_57, setIn(all_0_7_7, alive) = all_71_4_46, yields:
% 30.10/8.40 | (292) all_102_4_57 = all_71_4_46
% 30.10/8.40 |
% 30.10/8.40 | Combining equations (288,287) yields a new equation:
% 30.10/8.40 | (293) all_29_2_34 = all_0_0_0
% 30.10/8.40 |
% 30.10/8.40 | Simplifying 293 yields:
% 30.10/8.40 | (294) all_29_2_34 = all_0_0_0
% 30.10/8.40 |
% 30.10/8.40 | Combining equations (281,282) yields a new equation:
% 30.10/8.40 | (295) all_102_3_56 = all_97_0_52
% 30.10/8.40 |
% 30.10/8.40 | Simplifying 295 yields:
% 30.10/8.40 | (296) all_102_3_56 = all_97_0_52
% 30.10/8.40 |
% 30.10/8.40 | Combining equations (290,291) yields a new equation:
% 30.10/8.40 | (297) all_102_4_57 = all_83_4_51
% 30.10/8.40 |
% 30.10/8.40 | Simplifying 297 yields:
% 30.10/8.40 | (298) all_102_4_57 = all_83_4_51
% 30.10/8.40 |
% 30.10/8.40 | Combining equations (284,296) yields a new equation:
% 30.10/8.40 | (299) all_97_0_52 = nbr_proc
% 30.10/8.40 |
% 30.10/8.40 | Combining equations (283,296) yields a new equation:
% 30.10/8.40 | (300) all_97_0_52 = all_83_3_50
% 30.10/8.40 |
% 30.10/8.40 | Combining equations (289,298) yields a new equation:
% 30.10/8.40 | (301) all_83_4_51 = 0
% 30.10/8.40 |
% 30.10/8.40 | Combining equations (292,298) yields a new equation:
% 30.10/8.40 | (302) all_83_4_51 = all_71_4_46
% 30.10/8.40 |
% 30.10/8.40 | Combining equations (300,299) yields a new equation:
% 30.10/8.40 | (303) all_83_3_50 = nbr_proc
% 30.10/8.40 |
% 30.10/8.40 | Simplifying 303 yields:
% 30.10/8.40 | (304) all_83_3_50 = nbr_proc
% 30.10/8.40 |
% 30.10/8.40 | Combining equations (278,277) yields a new equation:
% 30.10/8.40 | (305) all_71_3_45 = all_0_12_12
% 30.10/8.40 |
% 30.10/8.40 | Simplifying 305 yields:
% 30.10/8.40 | (306) all_71_3_45 = all_0_12_12
% 30.10/8.40 |
% 30.10/8.40 | Combining equations (302,301) yields a new equation:
% 30.10/8.40 | (307) all_71_4_46 = 0
% 30.10/8.40 |
% 30.10/8.40 | Simplifying 307 yields:
% 30.10/8.40 | (308) all_71_4_46 = 0
% 30.10/8.40 |
% 30.10/8.40 | Combining equations (285,286) yields a new equation:
% 30.10/8.40 | (309) all_50_2_41 = all_0_6_6
% 30.10/8.40 |
% 30.10/8.40 | Combining equations (280,279) yields a new equation:
% 30.10/8.40 | (310) all_50_1_40 = all_21_2_26
% 30.10/8.40 |
% 30.10/8.40 | Combining equations (306,279) yields a new equation:
% 30.10/8.40 | (311) all_50_1_40 = all_0_12_12
% 30.10/8.40 |
% 30.10/8.40 | Combining equations (311,310) yields a new equation:
% 30.10/8.40 | (312) all_21_2_26 = all_0_12_12
% 30.10/8.40 |
% 30.10/8.40 | Combining equations (312,310) yields a new equation:
% 30.10/8.40 | (311) all_50_1_40 = all_0_12_12
% 30.10/8.40 |
% 30.10/8.40 | Combining equations (311,279) yields a new equation:
% 30.10/8.40 | (306) all_71_3_45 = all_0_12_12
% 30.10/8.40 |
% 30.10/8.40 | From (287) and (266) follows:
% 30.10/8.40 | (315) index(ldr, all_0_0_0) = all_107_1_59
% 30.10/8.40 |
% 30.10/8.40 | From (287) and (264) follows:
% 30.10/8.40 | (316) index(status, all_0_0_0) = all_107_0_58
% 30.10/8.40 |
% 30.10/8.40 | From (277) and (236) follows:
% 30.10/8.40 | (317) index(status, all_0_12_12) = all_83_0_47
% 30.10/8.40 |
% 30.10/8.40 | From (306) and (218) follows:
% 30.10/8.40 | (318) index(status, all_0_12_12) = all_71_0_42
% 30.10/8.40 |
% 30.10/8.40 | From (276) and (184) follows:
% 30.10/8.40 | (193) s(all_0_6_6) = nbr_proc
% 30.10/8.40 |
% 30.10/8.40 | From (312) and (180) follows:
% 30.10/8.40 | (8) host(all_0_7_7) = all_0_12_12
% 30.10/8.40 |
% 30.10/8.40 | From (304) and (238) follows:
% 30.10/8.40 | (194) host(all_0_8_8) = nbr_proc
% 30.10/8.40 |
% 30.10/8.40 | From (309) and (203) follows:
% 30.10/8.40 | (151) host(all_0_9_9) = all_0_6_6
% 30.10/8.40 |
% 30.10/8.40 | From (294) and (188) follows:
% 30.10/8.40 | (104) host(all_0_10_10) = all_0_0_0
% 30.10/8.40 |
% 30.10/8.40 | From (308) and (216) follows:
% 30.10/8.40 | (9) setIn(all_0_7_7, alive) = 0
% 30.10/8.40 |
% 30.10/8.40 +-Applying beta-rule and splitting (272), into two cases.
% 30.10/8.40 |-Branch one:
% 30.10/8.40 | (325) ~ (index(status, all_21_2_26) = all_71_0_42)
% 30.10/8.40 |
% 30.10/8.40 | From (312) and (325) follows:
% 30.10/8.40 | (326) ~ (index(status, all_0_12_12) = all_71_0_42)
% 30.10/8.40 |
% 30.10/8.40 | Using (318) and (326) yields:
% 30.10/8.40 | (196) $false
% 30.10/8.40 |
% 30.10/8.40 |-The branch is then unsatisfiable
% 30.10/8.40 |-Branch two:
% 30.10/8.40 | (328) index(status, all_21_2_26) = all_71_0_42
% 30.10/8.41 | (329) all_71_0_42 = all_21_1_25
% 30.10/8.41 |
% 30.10/8.41 | From (329) and (318) follows:
% 30.10/8.41 | (330) index(status, all_0_12_12) = all_21_1_25
% 30.10/8.41 |
% 30.10/8.41 +-Applying beta-rule and splitting (275), into two cases.
% 30.10/8.41 |-Branch one:
% 30.10/8.41 | (331) ~ (index(status, all_0_12_12) = all_21_1_25)
% 30.10/8.41 |
% 30.10/8.41 | Using (330) and (331) yields:
% 30.10/8.41 | (196) $false
% 30.10/8.41 |
% 30.10/8.41 |-The branch is then unsatisfiable
% 30.10/8.41 |-Branch two:
% 30.10/8.41 | (330) index(status, all_0_12_12) = all_21_1_25
% 30.10/8.41 | (334) all_71_1_43 = all_21_1_25
% 30.10/8.41 |
% 30.10/8.41 | Combining equations (273,334) yields a new equation:
% 30.10/8.41 | (335) all_21_1_25 = elec_2
% 30.10/8.41 |
% 30.10/8.41 | Combining equations (335,334) yields a new equation:
% 30.10/8.41 | (273) all_71_1_43 = elec_2
% 30.10/8.41 |
% 30.10/8.41 +-Applying beta-rule and splitting (274), into two cases.
% 30.10/8.41 |-Branch one:
% 30.10/8.41 | (337) ~ (index(status, all_0_12_12) = all_83_0_47)
% 30.10/8.41 |
% 30.10/8.41 | Using (317) and (337) yields:
% 30.10/8.41 | (196) $false
% 30.10/8.41 |
% 30.10/8.41 |-The branch is then unsatisfiable
% 30.10/8.41 |-Branch two:
% 30.10/8.41 | (317) index(status, all_0_12_12) = all_83_0_47
% 30.10/8.41 | (340) all_83_0_47 = all_71_1_43
% 30.10/8.41 |
% 30.10/8.41 | Combining equations (273,340) yields a new equation:
% 30.10/8.41 | (341) all_83_0_47 = elec_2
% 30.10/8.41 |
% 30.10/8.41 | From (341) and (317) follows:
% 30.10/8.41 | (139) index(status, all_0_12_12) = elec_2
% 30.10/8.41 |
% 30.10/8.41 +-Applying beta-rule and splitting (176), into two cases.
% 30.10/8.41 |-Branch one:
% 30.10/8.41 | (195) ~ (elem(all_0_1_1, all_0_3_3) = 0)
% 30.10/8.41 |
% 30.10/8.41 | Using (190) and (195) yields:
% 30.10/8.41 | (196) $false
% 30.10/8.41 |
% 30.10/8.41 |-The branch is then unsatisfiable
% 30.10/8.41 |-Branch two:
% 30.10/8.41 | (190) elem(all_0_1_1, all_0_3_3) = 0
% 30.10/8.41 | (346) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (index(status, v1) = v4 & index(status, all_0_12_12) = v3 & host(all_0_9_9) = v2 & host(all_0_19_19) = v1 & setIn(all_0_7_7, alive) = v0 & ( ~ (v4 = elec_2) | ~ (v3 = elec_2) | ~ (v2 = v1) | ~ (v0 = 0)))
% 30.10/8.41 |
% 30.10/8.41 | Instantiating (346) with all_170_0_67, all_170_1_68, all_170_2_69, all_170_3_70, all_170_4_71 yields:
% 30.10/8.41 | (347) index(status, all_170_3_70) = all_170_0_67 & index(status, all_0_12_12) = all_170_1_68 & host(all_0_9_9) = all_170_2_69 & host(all_0_19_19) = all_170_3_70 & setIn(all_0_7_7, alive) = all_170_4_71 & ( ~ (all_170_0_67 = elec_2) | ~ (all_170_1_68 = elec_2) | ~ (all_170_2_69 = all_170_3_70) | ~ (all_170_4_71 = 0))
% 30.10/8.41 |
% 30.10/8.41 | Applying alpha-rule on (347) yields:
% 30.10/8.41 | (348) index(status, all_170_3_70) = all_170_0_67
% 30.10/8.41 | (349) host(all_0_19_19) = all_170_3_70
% 30.10/8.41 | (350) index(status, all_0_12_12) = all_170_1_68
% 30.10/8.41 | (351) host(all_0_9_9) = all_170_2_69
% 30.10/8.41 | (352) setIn(all_0_7_7, alive) = all_170_4_71
% 30.10/8.41 | (353) ~ (all_170_0_67 = elec_2) | ~ (all_170_1_68 = elec_2) | ~ (all_170_2_69 = all_170_3_70) | ~ (all_170_4_71 = 0)
% 30.10/8.41 |
% 30.10/8.41 +-Applying beta-rule and splitting (271), into two cases.
% 30.10/8.41 |-Branch one:
% 30.10/8.41 | (354) ~ (index(status, all_29_2_34) = all_107_0_58)
% 30.10/8.41 |
% 30.10/8.41 | From (294) and (354) follows:
% 30.10/8.41 | (355) ~ (index(status, all_0_0_0) = all_107_0_58)
% 30.10/8.41 |
% 30.10/8.41 | Using (316) and (355) yields:
% 30.10/8.41 | (196) $false
% 30.10/8.41 |
% 30.10/8.41 |-The branch is then unsatisfiable
% 30.10/8.41 |-Branch two:
% 30.10/8.41 | (357) index(status, all_29_2_34) = all_107_0_58
% 30.10/8.41 | (358) all_107_0_58 = all_29_1_33
% 30.10/8.41 |
% 30.10/8.41 | From (358) and (316) follows:
% 30.10/8.41 | (359) index(status, all_0_0_0) = all_29_1_33
% 30.10/8.41 |
% 30.10/8.41 +-Applying beta-rule and splitting (270), into two cases.
% 30.10/8.41 |-Branch one:
% 30.10/8.41 | (355) ~ (index(status, all_0_0_0) = all_107_0_58)
% 30.10/8.41 |
% 30.10/8.41 | From (358) and (355) follows:
% 30.10/8.41 | (361) ~ (index(status, all_0_0_0) = all_29_1_33)
% 30.10/8.41 |
% 30.10/8.41 | Using (359) and (361) yields:
% 30.10/8.41 | (196) $false
% 30.10/8.41 |
% 30.10/8.41 |-The branch is then unsatisfiable
% 30.10/8.41 |-Branch two:
% 30.10/8.41 | (316) index(status, all_0_0_0) = all_107_0_58
% 30.10/8.41 | (364) all_107_0_58 = norm
% 30.10/8.41 |
% 30.10/8.41 | Combining equations (358,364) yields a new equation:
% 30.10/8.41 | (365) all_29_1_33 = norm
% 30.10/8.41 |
% 30.10/8.41 | Simplifying 365 yields:
% 30.10/8.41 | (366) all_29_1_33 = norm
% 30.10/8.41 |
% 30.10/8.41 | From (366) and (359) follows:
% 30.10/8.41 | (65) index(status, all_0_0_0) = norm
% 30.10/8.41 |
% 30.10/8.41 +-Applying beta-rule and splitting (269), into two cases.
% 30.10/8.41 |-Branch one:
% 30.10/8.41 | (368) ~ (index(ldr, all_0_0_0) = all_107_1_59)
% 30.10/8.41 |
% 30.10/8.41 | Using (315) and (368) yields:
% 30.10/8.41 | (196) $false
% 30.10/8.41 |
% 30.10/8.41 |-The branch is then unsatisfiable
% 30.10/8.41 |-Branch two:
% 30.10/8.41 | (315) index(ldr, all_0_0_0) = all_107_1_59
% 30.10/8.41 | (371) all_107_1_59 = all_0_0_0
% 30.10/8.41 |
% 30.10/8.41 | From (371) and (315) follows:
% 30.10/8.41 | (141) index(ldr, all_0_0_0) = all_0_0_0
% 30.10/8.41 |
% 30.10/8.41 | Instantiating formula (31) with status, all_0_12_12, all_170_1_68, elec_2 and discharging atoms index(status, all_0_12_12) = all_170_1_68, index(status, all_0_12_12) = elec_2, yields:
% 30.10/8.41 | (373) all_170_1_68 = elec_2
% 30.10/8.41 |
% 30.10/8.41 | Instantiating formula (63) with all_170_2_69, all_0_6_6, all_0_9_9 and discharging atoms host(all_0_9_9) = all_170_2_69, host(all_0_9_9) = all_0_6_6, yields:
% 30.10/8.41 | (374) all_170_2_69 = all_0_6_6
% 30.10/8.41 |
% 30.10/8.41 | Instantiating formula (75) with all_0_7_7, alive, all_170_4_71, 0 and discharging atoms setIn(all_0_7_7, alive) = all_170_4_71, setIn(all_0_7_7, alive) = 0, yields:
% 30.10/8.41 | (375) all_170_4_71 = 0
% 30.10/8.41 |
% 30.10/8.41 | From (373) and (350) follows:
% 30.10/8.41 | (139) index(status, all_0_12_12) = elec_2
% 30.10/8.41 |
% 30.10/8.41 | From (374) and (351) follows:
% 30.10/8.41 | (151) host(all_0_9_9) = all_0_6_6
% 30.10/8.41 |
% 30.10/8.41 | From (375) and (352) follows:
% 30.10/8.41 | (9) setIn(all_0_7_7, alive) = 0
% 30.10/8.41 |
% 30.10/8.41 | Instantiating formula (147) with all_0_6_6, all_0_6_6, all_0_12_12, all_0_12_12, all_0_7_7, all_0_7_7 and discharging atoms index(pendack, all_0_12_12) = all_0_6_6, leq(all_0_6_6, all_0_6_6) = 0, host(all_0_7_7) = all_0_12_12, yields:
% 30.10/8.41 | (379) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (index(status, all_0_12_12) = v4 & index(status, all_0_12_12) = v3 & leq(all_0_12_12, all_0_12_12) = v0 & setIn(all_0_7_7, alive) = v2 & setIn(all_0_7_7, alive) = v1 & ( ~ (v4 = elec_2) | ~ (v3 = elec_2) | ~ (v2 = 0) | ~ (v1 = 0) | v0 = 0))
% 30.10/8.41 |
% 30.10/8.41 | Instantiating formula (95) with all_0_1_1, all_0_3_3, all_0_12_12, all_0_4_4, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10 and discharging atoms m_Down(all_0_8_8) = all_0_4_4, m_Ack(all_0_7_7, all_0_9_9) = all_0_1_1, host(all_0_7_7) = all_0_12_12, queue(all_0_12_12) = all_0_3_3, elem(all_0_1_1, all_0_3_3) = 0, elem(all_0_4_4, all_0_3_3) = 0, setIn(all_0_10_10, alive) = 0, yields:
% 30.10/8.41 | (380) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (index(ldr, v7) = v8 & index(status, v7) = v9 & index(status, all_0_12_12) = v4 & index(pendack, all_0_12_12) = v1 & leq(nbr_proc, v2) = v3 & s(v1) = v2 & host(all_0_8_8) = v6 & host(all_0_9_9) = v5 & host(all_0_10_10) = v7 & setIn(all_0_7_7, alive) = v0 & ( ~ (v9 = norm) | ~ (v8 = v7) | ~ (v6 = v2) | ~ (v5 = v1) | ~ (v4 = elec_2) | ~ (v3 = 0) | ~ (v0 = 0)))
% 30.10/8.41 |
% 30.10/8.41 | Instantiating (380) with all_251_0_73, all_251_1_74, all_251_2_75, all_251_3_76, all_251_4_77, all_251_5_78, all_251_6_79, all_251_7_80, all_251_8_81, all_251_9_82 yields:
% 30.10/8.41 | (381) index(ldr, all_251_2_75) = all_251_1_74 & index(status, all_251_2_75) = all_251_0_73 & index(status, all_0_12_12) = all_251_5_78 & index(pendack, all_0_12_12) = all_251_8_81 & leq(nbr_proc, all_251_7_80) = all_251_6_79 & s(all_251_8_81) = all_251_7_80 & host(all_0_8_8) = all_251_3_76 & host(all_0_9_9) = all_251_4_77 & host(all_0_10_10) = all_251_2_75 & setIn(all_0_7_7, alive) = all_251_9_82 & ( ~ (all_251_0_73 = norm) | ~ (all_251_1_74 = all_251_2_75) | ~ (all_251_3_76 = all_251_7_80) | ~ (all_251_4_77 = all_251_8_81) | ~ (all_251_5_78 = elec_2) | ~ (all_251_6_79 = 0) | ~ (all_251_9_82 = 0))
% 30.10/8.41 |
% 30.10/8.41 | Applying alpha-rule on (381) yields:
% 30.10/8.41 | (382) host(all_0_8_8) = all_251_3_76
% 30.10/8.41 | (383) host(all_0_10_10) = all_251_2_75
% 30.10/8.41 | (384) index(status, all_0_12_12) = all_251_5_78
% 30.10/8.41 | (385) s(all_251_8_81) = all_251_7_80
% 30.10/8.41 | (386) setIn(all_0_7_7, alive) = all_251_9_82
% 30.10/8.41 | (387) index(ldr, all_251_2_75) = all_251_1_74
% 30.10/8.41 | (388) host(all_0_9_9) = all_251_4_77
% 30.10/8.41 | (389) leq(nbr_proc, all_251_7_80) = all_251_6_79
% 30.10/8.41 | (390) index(pendack, all_0_12_12) = all_251_8_81
% 30.10/8.41 | (391) index(status, all_251_2_75) = all_251_0_73
% 30.10/8.41 | (392) ~ (all_251_0_73 = norm) | ~ (all_251_1_74 = all_251_2_75) | ~ (all_251_3_76 = all_251_7_80) | ~ (all_251_4_77 = all_251_8_81) | ~ (all_251_5_78 = elec_2) | ~ (all_251_6_79 = 0) | ~ (all_251_9_82 = 0)
% 30.10/8.41 |
% 30.10/8.41 | Instantiating (379) with all_253_0_83, all_253_1_84, all_253_2_85, all_253_3_86, all_253_4_87 yields:
% 30.10/8.41 | (393) index(status, all_0_12_12) = all_253_0_83 & index(status, all_0_12_12) = all_253_1_84 & leq(all_0_12_12, all_0_12_12) = all_253_4_87 & setIn(all_0_7_7, alive) = all_253_2_85 & setIn(all_0_7_7, alive) = all_253_3_86 & ( ~ (all_253_0_83 = elec_2) | ~ (all_253_1_84 = elec_2) | ~ (all_253_2_85 = 0) | ~ (all_253_3_86 = 0) | all_253_4_87 = 0)
% 30.10/8.42 |
% 30.10/8.42 | Applying alpha-rule on (393) yields:
% 30.10/8.42 | (394) setIn(all_0_7_7, alive) = all_253_3_86
% 30.10/8.42 | (395) index(status, all_0_12_12) = all_253_1_84
% 30.10/8.42 | (396) index(status, all_0_12_12) = all_253_0_83
% 30.10/8.42 | (397) setIn(all_0_7_7, alive) = all_253_2_85
% 30.10/8.42 | (398) ~ (all_253_0_83 = elec_2) | ~ (all_253_1_84 = elec_2) | ~ (all_253_2_85 = 0) | ~ (all_253_3_86 = 0) | all_253_4_87 = 0
% 30.10/8.42 | (399) leq(all_0_12_12, all_0_12_12) = all_253_4_87
% 30.10/8.42 |
% 30.10/8.42 | Instantiating formula (31) with ldr, all_0_0_0, all_251_1_74, all_0_0_0 and discharging atoms index(ldr, all_0_0_0) = all_0_0_0, yields:
% 30.10/8.42 | (400) all_251_1_74 = all_0_0_0 | ~ (index(ldr, all_0_0_0) = all_251_1_74)
% 30.10/8.42 |
% 30.10/8.42 | Instantiating formula (31) with status, all_0_0_0, all_251_0_73, norm and discharging atoms index(status, all_0_0_0) = norm, yields:
% 30.10/8.42 | (401) all_251_0_73 = norm | ~ (index(status, all_0_0_0) = all_251_0_73)
% 30.10/8.42 |
% 30.10/8.42 | Instantiating formula (31) with status, all_0_12_12, all_253_1_84, elec_2 and discharging atoms index(status, all_0_12_12) = all_253_1_84, index(status, all_0_12_12) = elec_2, yields:
% 30.10/8.42 | (402) all_253_1_84 = elec_2
% 30.10/8.42 |
% 30.10/8.42 | Instantiating formula (31) with status, all_0_12_12, all_253_1_84, all_253_0_83 and discharging atoms index(status, all_0_12_12) = all_253_0_83, index(status, all_0_12_12) = all_253_1_84, yields:
% 30.10/8.42 | (403) all_253_0_83 = all_253_1_84
% 30.10/8.42 |
% 30.10/8.42 | Instantiating formula (31) with status, all_0_12_12, all_251_5_78, all_253_0_83 and discharging atoms index(status, all_0_12_12) = all_253_0_83, index(status, all_0_12_12) = all_251_5_78, yields:
% 30.10/8.42 | (404) all_253_0_83 = all_251_5_78
% 30.10/8.42 |
% 30.10/8.42 | Instantiating formula (31) with pendack, all_0_12_12, all_251_8_81, all_0_6_6 and discharging atoms index(pendack, all_0_12_12) = all_251_8_81, index(pendack, all_0_12_12) = all_0_6_6, yields:
% 30.10/8.42 | (405) all_251_8_81 = all_0_6_6
% 30.10/8.42 |
% 30.10/8.42 | Instantiating formula (134) with all_251_6_79, nbr_proc yields:
% 30.10/8.42 | (406) all_251_6_79 = 0 | ~ (leq(nbr_proc, nbr_proc) = all_251_6_79)
% 30.10/8.42 |
% 30.10/8.42 | Instantiating formula (140) with all_0_6_6, all_251_7_80, nbr_proc and discharging atoms s(all_0_6_6) = nbr_proc, yields:
% 30.10/8.42 | (407) all_251_7_80 = nbr_proc | ~ (s(all_0_6_6) = all_251_7_80)
% 30.10/8.42 |
% 30.10/8.42 | Instantiating formula (63) with all_251_3_76, nbr_proc, all_0_8_8 and discharging atoms host(all_0_8_8) = all_251_3_76, host(all_0_8_8) = nbr_proc, yields:
% 30.10/8.42 | (408) all_251_3_76 = nbr_proc
% 30.10/8.42 |
% 30.10/8.42 | Instantiating formula (63) with all_251_4_77, all_0_6_6, all_0_9_9 and discharging atoms host(all_0_9_9) = all_251_4_77, host(all_0_9_9) = all_0_6_6, yields:
% 30.10/8.42 | (409) all_251_4_77 = all_0_6_6
% 30.10/8.42 |
% 30.10/8.42 | Instantiating formula (63) with all_251_2_75, all_0_0_0, all_0_10_10 and discharging atoms host(all_0_10_10) = all_251_2_75, host(all_0_10_10) = all_0_0_0, yields:
% 30.10/8.42 | (410) all_251_2_75 = all_0_0_0
% 30.10/8.42 |
% 30.10/8.42 | Instantiating formula (75) with all_0_7_7, alive, all_253_2_85, 0 and discharging atoms setIn(all_0_7_7, alive) = all_253_2_85, setIn(all_0_7_7, alive) = 0, yields:
% 30.10/8.42 | (411) all_253_2_85 = 0
% 30.10/8.42 |
% 30.10/8.42 | Instantiating formula (75) with all_0_7_7, alive, all_253_3_86, all_253_2_85 and discharging atoms setIn(all_0_7_7, alive) = all_253_2_85, setIn(all_0_7_7, alive) = all_253_3_86, yields:
% 30.10/8.42 | (412) all_253_2_85 = all_253_3_86
% 30.10/8.42 |
% 30.10/8.42 | Instantiating formula (75) with all_0_7_7, alive, all_251_9_82, all_253_3_86 and discharging atoms setIn(all_0_7_7, alive) = all_253_3_86, setIn(all_0_7_7, alive) = all_251_9_82, yields:
% 30.10/8.42 | (413) all_253_3_86 = all_251_9_82
% 30.10/8.42 |
% 30.10/8.42 | Combining equations (403,404) yields a new equation:
% 30.10/8.42 | (414) all_253_1_84 = all_251_5_78
% 30.10/8.42 |
% 30.10/8.42 | Simplifying 414 yields:
% 30.10/8.42 | (415) all_253_1_84 = all_251_5_78
% 30.10/8.42 |
% 30.10/8.42 | Combining equations (415,402) yields a new equation:
% 30.10/8.42 | (416) all_251_5_78 = elec_2
% 30.10/8.42 |
% 30.10/8.42 | Simplifying 416 yields:
% 30.10/8.42 | (417) all_251_5_78 = elec_2
% 30.10/8.42 |
% 30.10/8.42 | Combining equations (412,411) yields a new equation:
% 30.10/8.42 | (418) all_253_3_86 = 0
% 30.10/8.42 |
% 30.10/8.42 | Simplifying 418 yields:
% 30.10/8.42 | (419) all_253_3_86 = 0
% 30.10/8.42 |
% 30.10/8.42 | Combining equations (413,419) yields a new equation:
% 30.10/8.42 | (420) all_251_9_82 = 0
% 30.10/8.42 |
% 30.10/8.42 | Simplifying 420 yields:
% 30.10/8.42 | (421) all_251_9_82 = 0
% 30.10/8.42 |
% 30.10/8.42 | From (410) and (387) follows:
% 30.10/8.42 | (422) index(ldr, all_0_0_0) = all_251_1_74
% 30.10/8.42 |
% 30.10/8.42 | From (410) and (391) follows:
% 30.10/8.42 | (423) index(status, all_0_0_0) = all_251_0_73
% 30.10/8.42 |
% 30.10/8.42 | From (405) and (385) follows:
% 30.10/8.42 | (424) s(all_0_6_6) = all_251_7_80
% 30.10/8.42 |
% 30.10/8.42 +-Applying beta-rule and splitting (401), into two cases.
% 30.10/8.42 |-Branch one:
% 30.10/8.42 | (425) ~ (index(status, all_0_0_0) = all_251_0_73)
% 30.10/8.42 |
% 30.10/8.42 | Using (423) and (425) yields:
% 30.10/8.42 | (196) $false
% 30.10/8.42 |
% 30.10/8.42 |-The branch is then unsatisfiable
% 30.10/8.42 |-Branch two:
% 30.10/8.42 | (423) index(status, all_0_0_0) = all_251_0_73
% 30.10/8.42 | (428) all_251_0_73 = norm
% 30.10/8.42 |
% 30.10/8.42 +-Applying beta-rule and splitting (407), into two cases.
% 30.10/8.42 |-Branch one:
% 30.10/8.42 | (429) ~ (s(all_0_6_6) = all_251_7_80)
% 30.10/8.42 |
% 30.10/8.42 | Using (424) and (429) yields:
% 30.10/8.42 | (196) $false
% 30.10/8.42 |
% 30.10/8.42 |-The branch is then unsatisfiable
% 30.10/8.42 |-Branch two:
% 30.10/8.42 | (424) s(all_0_6_6) = all_251_7_80
% 30.10/8.42 | (432) all_251_7_80 = nbr_proc
% 30.10/8.42 |
% 30.10/8.42 | From (432) and (389) follows:
% 30.10/8.42 | (433) leq(nbr_proc, nbr_proc) = all_251_6_79
% 30.10/8.42 |
% 30.10/8.42 +-Applying beta-rule and splitting (406), into two cases.
% 30.10/8.42 |-Branch one:
% 30.10/8.42 | (434) ~ (leq(nbr_proc, nbr_proc) = all_251_6_79)
% 30.10/8.42 |
% 30.10/8.42 | Using (433) and (434) yields:
% 30.10/8.42 | (196) $false
% 30.10/8.42 |
% 30.10/8.42 |-The branch is then unsatisfiable
% 30.10/8.42 |-Branch two:
% 30.10/8.42 | (433) leq(nbr_proc, nbr_proc) = all_251_6_79
% 30.10/8.42 | (437) all_251_6_79 = 0
% 30.10/8.42 |
% 30.10/8.42 +-Applying beta-rule and splitting (392), into two cases.
% 30.10/8.42 |-Branch one:
% 30.10/8.42 | (438) ~ (all_251_5_78 = elec_2)
% 30.10/8.42 |
% 30.10/8.42 | Equations (417) can reduce 438 to:
% 30.10/8.42 | (439) $false
% 30.10/8.42 |
% 30.10/8.42 |-The branch is then unsatisfiable
% 30.10/8.42 |-Branch two:
% 30.10/8.42 | (417) all_251_5_78 = elec_2
% 30.10/8.42 | (441) ~ (all_251_0_73 = norm) | ~ (all_251_1_74 = all_251_2_75) | ~ (all_251_3_76 = all_251_7_80) | ~ (all_251_4_77 = all_251_8_81) | ~ (all_251_6_79 = 0) | ~ (all_251_9_82 = 0)
% 30.10/8.42 |
% 30.10/8.42 +-Applying beta-rule and splitting (400), into two cases.
% 30.10/8.42 |-Branch one:
% 30.10/8.42 | (442) ~ (index(ldr, all_0_0_0) = all_251_1_74)
% 30.10/8.42 |
% 30.10/8.42 | Using (422) and (442) yields:
% 30.10/8.42 | (196) $false
% 30.10/8.42 |
% 30.10/8.42 |-The branch is then unsatisfiable
% 30.10/8.42 |-Branch two:
% 30.10/8.42 | (422) index(ldr, all_0_0_0) = all_251_1_74
% 30.10/8.42 | (445) all_251_1_74 = all_0_0_0
% 30.10/8.42 |
% 30.10/8.42 +-Applying beta-rule and splitting (441), into two cases.
% 30.10/8.42 |-Branch one:
% 30.10/8.42 | (446) ~ (all_251_6_79 = 0)
% 30.10/8.42 |
% 30.10/8.42 | Equations (437) can reduce 446 to:
% 30.10/8.42 | (439) $false
% 30.10/8.42 |
% 30.10/8.42 |-The branch is then unsatisfiable
% 30.10/8.42 |-Branch two:
% 30.10/8.42 | (437) all_251_6_79 = 0
% 30.10/8.42 | (449) ~ (all_251_0_73 = norm) | ~ (all_251_1_74 = all_251_2_75) | ~ (all_251_3_76 = all_251_7_80) | ~ (all_251_4_77 = all_251_8_81) | ~ (all_251_9_82 = 0)
% 30.10/8.42 |
% 30.10/8.42 +-Applying beta-rule and splitting (449), into two cases.
% 30.10/8.42 |-Branch one:
% 30.10/8.42 | (450) ~ (all_251_9_82 = 0)
% 30.10/8.42 |
% 30.10/8.42 | Equations (421) can reduce 450 to:
% 30.10/8.42 | (439) $false
% 30.10/8.42 |
% 30.10/8.42 |-The branch is then unsatisfiable
% 30.10/8.42 |-Branch two:
% 30.10/8.42 | (421) all_251_9_82 = 0
% 30.10/8.42 | (453) ~ (all_251_0_73 = norm) | ~ (all_251_1_74 = all_251_2_75) | ~ (all_251_3_76 = all_251_7_80) | ~ (all_251_4_77 = all_251_8_81)
% 30.10/8.42 |
% 30.10/8.42 +-Applying beta-rule and splitting (453), into two cases.
% 30.10/8.42 |-Branch one:
% 30.10/8.42 | (454) ~ (all_251_0_73 = norm)
% 30.10/8.42 |
% 30.10/8.42 | Equations (428) can reduce 454 to:
% 30.10/8.42 | (439) $false
% 30.10/8.42 |
% 30.10/8.42 |-The branch is then unsatisfiable
% 30.10/8.42 |-Branch two:
% 30.10/8.42 | (428) all_251_0_73 = norm
% 30.10/8.42 | (457) ~ (all_251_1_74 = all_251_2_75) | ~ (all_251_3_76 = all_251_7_80) | ~ (all_251_4_77 = all_251_8_81)
% 30.10/8.42 |
% 30.10/8.42 +-Applying beta-rule and splitting (457), into two cases.
% 30.10/8.42 |-Branch one:
% 30.10/8.42 | (458) ~ (all_251_1_74 = all_251_2_75)
% 30.10/8.42 |
% 30.10/8.42 | Equations (445,410) can reduce 458 to:
% 30.10/8.42 | (439) $false
% 30.10/8.42 |
% 30.10/8.42 |-The branch is then unsatisfiable
% 30.10/8.42 |-Branch two:
% 30.10/8.42 | (460) all_251_1_74 = all_251_2_75
% 30.10/8.42 | (461) ~ (all_251_3_76 = all_251_7_80) | ~ (all_251_4_77 = all_251_8_81)
% 30.10/8.42 |
% 30.10/8.42 +-Applying beta-rule and splitting (461), into two cases.
% 30.10/8.42 |-Branch one:
% 30.10/8.42 | (462) ~ (all_251_3_76 = all_251_7_80)
% 30.10/8.42 |
% 30.10/8.42 | Equations (408,432) can reduce 462 to:
% 30.10/8.42 | (439) $false
% 30.10/8.42 |
% 30.10/8.42 |-The branch is then unsatisfiable
% 30.10/8.42 |-Branch two:
% 30.10/8.42 | (464) all_251_3_76 = all_251_7_80
% 30.10/8.42 | (465) ~ (all_251_4_77 = all_251_8_81)
% 30.10/8.42 |
% 30.10/8.42 | Equations (409,405) can reduce 465 to:
% 30.10/8.42 | (439) $false
% 30.10/8.42 |
% 30.10/8.42 |-The branch is then unsatisfiable
% 30.10/8.43 |-Branch two:
% 30.10/8.43 | (467) ~ (leq(all_0_6_6, all_0_6_6) = 0)
% 30.10/8.43 | (468) ~ (s(all_0_6_6) = nbr_proc)
% 30.10/8.43 |
% 30.10/8.43 | Using (193) and (468) yields:
% 30.10/8.43 | (196) $false
% 30.10/8.43 |
% 30.10/8.43 |-The branch is then unsatisfiable
% 30.10/8.43 |-Branch two:
% 30.10/8.43 | (228) ~ (elem(all_0_4_4, all_0_3_3) = 0)
% 30.10/8.43 | (471) all_0_4_4 = all_0_11_11
% 30.10/8.43 |
% 30.10/8.43 | Equations (471) can reduce 158 to:
% 30.10/8.43 | (439) $false
% 30.10/8.43 |
% 30.10/8.43 |-The branch is then unsatisfiable
% 30.10/8.43 |-Branch two:
% 30.10/8.43 | (473) ~ (all_0_5_5 = nbr_proc)
% 30.10/8.43 | (474) ? [v0] : ( ~ (v0 = 0) & leq(all_0_5_5, nbr_proc) = v0)
% 30.10/8.43 |
% 30.10/8.43 | Instantiating (474) with all_47_0_101 yields:
% 30.10/8.43 | (475) ~ (all_47_0_101 = 0) & leq(all_0_5_5, nbr_proc) = all_47_0_101
% 30.10/8.43 |
% 30.10/8.43 | Applying alpha-rule on (475) yields:
% 30.10/8.43 | (476) ~ (all_47_0_101 = 0)
% 30.10/8.43 | (477) leq(all_0_5_5, nbr_proc) = all_47_0_101
% 30.10/8.43 |
% 30.10/8.43 | Instantiating formula (87) with all_0_5_5, nbr_proc, all_47_0_101, 0 and discharging atoms leq(all_0_5_5, nbr_proc) = all_47_0_101, leq(all_0_5_5, nbr_proc) = 0, yields:
% 30.10/8.43 | (478) all_47_0_101 = 0
% 30.10/8.43 |
% 30.10/8.43 | Equations (478) can reduce 476 to:
% 30.10/8.43 | (439) $false
% 30.10/8.43 |
% 30.10/8.43 |-The branch is then unsatisfiable
% 30.10/8.43 |-Branch two:
% 30.10/8.43 | (195) ~ (elem(all_0_1_1, all_0_3_3) = 0)
% 30.10/8.43 | (481) all_0_1_1 = all_0_11_11
% 30.10/8.43 |
% 30.10/8.43 | Equations (481) can reduce 159 to:
% 30.10/8.43 | (439) $false
% 30.10/8.43 |
% 30.10/8.43 |-The branch is then unsatisfiable
% 30.10/8.43 % SZS output end Proof for theBenchmark
% 30.10/8.43
% 30.10/8.43 7838ms
%------------------------------------------------------------------------------