TSTP Solution File: SWV463+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWV463+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Wed Jul 20 17:51:40 EDT 2022
% Result : Theorem 21.91s 6.54s
% Output : Proof 33.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWV463+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.33 % Computer : n017.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jun 16 01:04:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.63/0.60 ____ _
% 0.63/0.60 ___ / __ \_____(_)___ ________ __________
% 0.63/0.60 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.63/0.60 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.63/0.60 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.63/0.60
% 0.63/0.60 A Theorem Prover for First-Order Logic
% 0.63/0.60 (ePrincess v.1.0)
% 0.63/0.60
% 0.63/0.60 (c) Philipp Rümmer, 2009-2015
% 0.63/0.60 (c) Peter Backeman, 2014-2015
% 0.63/0.60 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.63/0.60 Free software under GNU Lesser General Public License (LGPL).
% 0.63/0.60 Bug reports to peter@backeman.se
% 0.63/0.60
% 0.63/0.60 For more information, visit http://user.uu.se/~petba168/breu/
% 0.63/0.60
% 0.63/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.68/0.68 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.15/1.08 Prover 0: Preprocessing ...
% 3.96/1.56 Prover 0: Warning: ignoring some quantifiers
% 4.26/1.59 Prover 0: Constructing countermodel ...
% 19.30/5.97 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 19.63/6.08 Prover 1: Preprocessing ...
% 20.69/6.27 Prover 1: Constructing countermodel ...
% 21.91/6.54 Prover 1: proved (571ms)
% 21.91/6.54 Prover 0: stopped
% 21.91/6.54
% 21.91/6.54 No countermodel exists, formula is valid
% 21.91/6.54 % SZS status Theorem for theBenchmark
% 21.91/6.54
% 21.91/6.54 Generating proof ... found it (size 382)
% 32.59/9.07
% 32.59/9.07 % SZS output start Proof for theBenchmark
% 32.59/9.07 Assumed formulas after preprocessing and simplification:
% 32.59/9.07 | (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] : ? [v24] : ? [v25] : ( ~ (v16 = v6) & ~ (v13 = v6) & ~ (v1 = 0) & ~ (norm = wait) & ~ (norm = elec_1) & ~ (norm = elec_2) & ~ (wait = elec_1) & ~ (wait = elec_2) & ~ (elec_1 = elec_2) & index(acks, v6) = v10 & index(ldr, v16) = v16 & index(elid, v6) = v3 & index(status, v16) = norm & index(status, v13) = elec_2 & index(status, v6) = elec_2 & index(pendack, v13) = v20 & index(pendack, v6) = v9 & ordered(q_nil) = 0 & snoc(v23, v11) = v24 & cons(v8, v2) = v7 & m_Ldr(v4) = v11 & m_Down(v18) = v22 & leq(v0, nbr_proc) = 0 & leq(nbr_proc, v21) = 0 & leq(nbr_proc, v9) = 0 & s(v20) = v21 & s(zero) = v0 & m_Ack(v19, v17) = v25 & m_Ack(v3, v5) = v8 & host(v19) = v13 & host(v18) = v21 & host(v17) = v20 & host(v15) = v16 & host(v12) = v13 & host(v5) = v9 & host(v4) = v6 & queue(v13) = v23 & queue(v6) = v7 & elem(v25, v24) = 0 & elem(v22, v24) = 0 & setIn(v19, alive) = 0 & setIn(v15, alive) = 0 & setIn(v13, v10) = v14 & setIn(v4, alive) = 0 & setIn(nil, alive) = v1 & ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ! [v32] : ! [v33] : ! [v34] : ! [v35] : (v32 = 0 | ~ (index(pendack, v29) = v30) | ~ (m_Halt(v28) = v33) | ~ (leq(v30, v31) = v32) | ~ (host(v28) = v29) | ~ (host(v27) = v34) | ~ (host(v26) = v31) | ~ (queue(v34) = v35) | ~ (elem(v33, v35) = 0) | ? [v36] : ? [v37] : ? [v38] : ? [v39] : ? [v40] : (index(ldr, v31) = v39 & index(status, v31) = v40 & index(status, v29) = v37 & setIn(v28, alive) = v36 & setIn(v26, alive) = v38 & ( ~ (v40 = norm) | ~ (v39 = v31) | ~ (v38 = 0) | ~ (v37 = elec_2) | ~ (v36 = 0)))) & ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ! [v32] : ! [v33] : ! [v34] : ( ~ (m_Down(v28) = v30) | ~ (m_Down(v27) = v32) | ~ (host(v29) = nbr_proc) | ~ (host(v26) = v33) | ~ (queue(v33) = v34) | ~ (queue(nbr_proc) = v31) | ~ (elem(v32, v34) = 0) | ~ (elem(v30, v31) = 0) | ? [v35] : ? [v36] : ? [v37] : ? [v38] : ? [v39] : ? [v40] : ? [v41] : ? [v42] : ? [v43] : (index(down, nbr_proc) = v35 & index(status, nbr_proc) = v38 & host(v28) = v36 & host(v27) = v37 & setIn(v26, alive) = v39 & ( ~ (v39 = 0) | ~ (v38 = elec_1) | ~ (v37 = nbr_proc) | (v42 = 0 & ~ (v43 = 0) & ~ (v41 = 0) & ~ (v40 = v36) & leq(v0, v40) = 0 & leq(nbr_proc, v40) = v41 & setIn(v40, v35) = v43)))) & ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ! [v32] : ! [v33] : ( ~ (m_Down(v28) = v30) | ~ (m_Ack(v29, v27) = v33) | ~ (host(v29) = v31) | ~ (queue(v31) = v32) | ~ (elem(v33, v32) = 0) | ~ (elem(v30, v32) = 0) | ~ (setIn(v26, alive) = 0) | ? [v34] : ? [v35] : ? [v36] : ? [v37] : ? [v38] : ? [v39] : ? [v40] : ? [v41] : ? [v42] : ? [v43] : (index(ldr, v41) = v42 & index(status, v41) = v43 & index(status, v31) = v38 & index(pendack, v31) = v35 & leq(nbr_proc, v36) = v37 & s(v35) = v36 & host(v28) = v40 & host(v27) = v39 & host(v26) = v41 & setIn(v29, alive) = v34 & ( ~ (v43 = norm) | ~ (v42 = v41) | ~ (v40 = v36) | ~ (v39 = v35) | ~ (v38 = elec_2) | ~ (v37 = 0) | ~ (v34 = 0)))) & ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : (v31 = 0 | ~ (index(pendack, v29) = v30) | ~ (leq(v30, v28) = v31) | ~ (host(v27) = v29) | ~ (host(v26) = v28) | ? [v32] : ? [v33] : ? [v34] : ? [v35] : ? [v36] : (index(status, v29) = v36 & index(status, v28) = v35 & leq(v28, v29) = v32 & setIn(v27, alive) = v34 & setIn(v26, alive) = v33 & ( ~ (v36 = elec_2) | ~ (v35 = elec_2) | ~ (v34 = 0) | ~ (v33 = 0) | v32 = 0))) & ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : (v31 = 0 | ~ (index(pendack, v28) = v30) | ~ (leq(v29, v30) = v31) | ~ (host(v27) = v28) | ~ (host(v26) = v29) | ? [v32] : ? [v33] : ? [v34] : ? [v35] : (m_Ack(v27, v26) = v33 & queue(v28) = v34 & elem(v33, v34) = v35 & setIn(v27, alive) = v32 & ( ~ (v35 = 0) | ~ (v32 = 0)))) & ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ( ~ (index(pendack, v29) = v31) | ~ (index(pendack, v28) = v30) | ~ (leq(v30, v31) = 0) | ~ (host(v27) = v29) | ~ (host(v26) = v28) | ? [v32] : ? [v33] : ? [v34] : ? [v35] : ? [v36] : (index(status, v29) = v36 & index(status, v28) = v35 & leq(v28, v29) = v32 & setIn(v27, alive) = v34 & setIn(v26, alive) = v33 & ( ~ (v36 = elec_2) | ~ (v35 = elec_2) | ~ (v34 = 0) | ~ (v33 = 0) | v32 = 0))) & ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ( ~ (cons(v29, v26) = v30) | ~ (m_Down(v28) = v31) | ~ (m_Halt(v27) = v29) | ~ (elem(v31, v26) = 0) | ? [v32] : ? [v33] : ? [v34] : ? [v35] : (ordered(v30) = v32 & leq(v27, v28) = v35 & host(v28) = v34 & host(v27) = v33 & ( ~ (v34 = v33) | ~ (v32 = 0) | v35 = 0))) & ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ( ~ (m_Down(v27) = v29) | ~ (host(v28) = v30) | ~ (queue(v30) = v31) | ~ (elem(v29, v31) = 0) | ~ (setIn(v26, alive) = 0) | ? [v32] : ? [v33] : ? [v34] : ? [v35] : ? [v36] : (index(ldr, v34) = v35 & index(status, v34) = v36 & host(v27) = v33 & host(v26) = v34 & setIn(v28, alive) = v32 & ( ~ (v36 = norm) | ~ (v35 = v33) | ~ (v34 = v33) | ~ (v32 = 0)))) & ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ( ~ (m_Ack(v28, v26) = v29) | ~ (host(v27) = v30) | ~ (queue(v30) = v31) | ~ (elem(v29, v31) = 0) | ? [v32] : ? [v33] : ? [v34] : ( ~ (v34 = 0) & leq(v32, v33) = v34 & host(v28) = v33 & host(v26) = v32)) & ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ( ~ (m_Ack(v26, v27) = v30) | ~ (host(v26) = v29) | ~ (queue(v29) = v31) | ~ (elem(v30, v31) = 0) | ~ (setIn(v28, alive) = 0) | ? [v32] : ? [v33] : ? [v34] : ? [v35] : ? [v36] : (index(status, v33) = v36 & index(status, v29) = v35 & host(v28) = v33 & host(v27) = v34 & setIn(v26, alive) = v32 & ( ~ (v36 = elec_2) | ~ (v35 = elec_2) | ~ (v34 = v33) | ~ (v32 = 0)))) & ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : (v30 = 0 | ~ (snoc(v28, v27) = v29) | ~ (elem(v26, v29) = v30) | ? [v31] : ( ~ (v31 = 0) & elem(v26, v28) = v31)) & ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : (v30 = 0 | ~ (cons(v27, v28) = v29) | ~ (elem(v26, v29) = v30) | ? [v31] : ( ~ (v31 = 0) & elem(v26, v28) = v31)) & ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : (v30 = 0 | ~ (leq(v28, v29) = v30) | ~ (s(v27) = v29) | ~ (s(v26) = v28) | ? [v31] : ( ~ (v31 = 0) & leq(v26, v27) = v31)) & ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : (v29 = v28 | ~ (m_Ack(v27, v29) = v30) | ~ (m_Ack(v26, v28) = v30)) & ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : (v27 = v26 | ~ (m_Ack(v27, v29) = v30) | ~ (m_Ack(v26, v28) = v30)) & ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ( ~ (snoc(v28, v27) = v29) | ~ (cons(v26, v29) = v30) | ? [v31] : (snoc(v31, v27) = v30 & cons(v26, v28) = v31)) & ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ( ~ (snoc(v26, v29) = v30) | ~ (m_Ack(v27, v28) = v29) | ? [v31] : ? [v32] : (ordered(v30) = v32 & ordered(v26) = v31 & ( ~ (v31 = 0) | v32 = 0))) & ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ( ~ (m_Ldr(v27) = v28) | ~ (host(v26) = v29) | ~ (queue(v29) = v30) | ~ (elem(v28, v30) = 0) | ? [v31] : ? [v32] : ( ~ (v32 = 0) & leq(v29, v31) = v32 & host(v27) = v31)) & ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ( ~ (m_Down(v27) = v28) | ~ (host(v26) = v29) | ~ (queue(v29) = v30) | ~ (elem(v28, v30) = 0) | ? [v31] : ( ~ (v31 = v29) & host(v27) = v31)) & ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ( ~ (m_Halt(v27) = v28) | ~ (host(v26) = v29) | ~ (queue(v29) = v30) | ~ (elem(v28, v30) = 0) | ? [v31] : ? [v32] : ( ~ (v32 = 0) & leq(v29, v31) = v32 & host(v27) = v31)) & ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ( ~ (m_Ack(v27, v26) = v29) | ~ (host(v27) = v28) | ~ (queue(v28) = v30) | ~ (elem(v29, v30) = 0) | ? [v31] : ? [v32] : (index(status, v28) = v32 & setIn(v27, alive) = v31 & ( ~ (v32 = elec_1) | ~ (v31 = 0)))) & ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ( ~ (m_Ack(v26, v27) = v28) | ~ (host(v26) = v29) | ~ (queue(v29) = v30) | ~ (elem(v28, v30) = 0) | (setIn(v27, pids) = 0 & setIn(v26, pids) = 0)) & ! [v26] : ! [v27] : ! [v28] : ! [v29] : (v29 = v26 | v26 = q_nil | ~ (init(v26) = v27) | ~ (snoc(v27, v28) = v29) | ~ (last(v26) = v28)) & ! [v26] : ! [v27] : ! [v28] : ! [v29] : (v29 = v26 | v26 = q_nil | ~ (tail(v26) = v28) | ~ (cons(v27, v28) = v29) | ~ (head(v26) = v27)) & ! [v26] : ! [v27] : ! [v28] : ! [v29] : (v29 = 0 | ~ (snoc(v27, v26) = v28) | ~ (elem(v26, v28) = v29)) & ! [v26] : ! [v27] : ! [v28] : ! [v29] : (v29 = 0 | ~ (cons(v26, v27) = v28) | ~ (elem(v26, v28) = v29)) & ! [v26] : ! [v27] : ! [v28] : ! [v29] : (v29 = 0 | ~ (leq(v26, v28) = v29) | ~ (leq(v26, v27) = 0) | ? [v30] : ( ~ (v30 = 0) & leq(v27, v28) = v30)) & ! [v26] : ! [v27] : ! [v28] : ! [v29] : (v29 = 0 | ~ (leq(v26, v28) = v29) | ~ (s(v27) = v28) | ? [v30] : ( ~ (v30 = 0) & leq(v26, v27) = v30)) & ! [v26] : ! [v27] : ! [v28] : ! [v29] : (v27 = v26 | ~ (index(v29, v28) = v27) | ~ (index(v29, v28) = v26)) & ! [v26] : ! [v27] : ! [v28] : ! [v29] : (v27 = v26 | ~ (snoc(v29, v28) = v27) | ~ (snoc(v29, v28) = v26)) & ! [v26] : ! [v27] : ! [v28] : ! [v29] : (v27 = v26 | ~ (snoc(v28, v27) = v29) | ~ (elem(v26, v29) = 0) | elem(v26, v28) = 0) & ! [v26] : ! [v27] : ! [v28] : ! [v29] : (v27 = v26 | ~ (cons(v29, v28) = v27) | ~ (cons(v29, v28) = v26)) & ! [v26] : ! [v27] : ! [v28] : ! [v29] : (v27 = v26 | ~ (cons(v27, v28) = v29) | ~ (elem(v26, v29) = 0) | elem(v26, v28) = 0) & ! [v26] : ! [v27] : ! [v28] : ! [v29] : (v27 = v26 | ~ (leq(v29, v28) = v27) | ~ (leq(v29, v28) = v26)) & ! [v26] : ! [v27] : ! [v28] : ! [v29] : (v27 = v26 | ~ (m_Ack(v29, v28) = v27) | ~ (m_Ack(v29, v28) = v26)) & ! [v26] : ! [v27] : ! [v28] : ! [v29] : (v27 = v26 | ~ (elem(v29, v28) = v27) | ~ (elem(v29, v28) = v26)) & ! [v26] : ! [v27] : ! [v28] : ! [v29] : (v27 = v26 | ~ (setIn(v29, v28) = v27) | ~ (setIn(v29, v28) = v26)) & ! [v26] : ! [v27] : ! [v28] : ! [v29] : ( ~ (ordered(v27) = v28) | ~ (pidElem(v26) = v29) | ? [v30] : ? [v31] : ? [v32] : ? [v33] : (ordered(v30) = v31 & pidMsg(v26) = v32 & snoc(v27, v26) = v30 & host(v32) = v33 & ( ~ (v31 = 0) | (v28 = 0 & ! [v34] : ! [v35] : ! [v36] : ( ~ (v29 = 0) | v36 = 0 | ~ (pidMsg(v34) = v35) | ~ (leq(v35, v32) = v36) | ? [v37] : ? [v38] : ? [v39] : (pidElem(v34) = v38 & host(v35) = v39 & elem(v34, v27) = v37 & ( ~ (v39 = v33) | ~ (v38 = 0) | ~ (v37 = 0)))))))) & ! [v26] : ! [v27] : ! [v28] : ! [v29] : ( ~ (ordered(v27) = v28) | ~ (pidElem(v26) = v29) | ? [v30] : ? [v31] : ? [v32] : ? [v33] : (ordered(v30) = v31 & pidMsg(v26) = v32 & cons(v26, v27) = v30 & host(v32) = v33 & ( ~ (v31 = 0) | (v28 = 0 & ! [v34] : ! [v35] : ! [v36] : ( ~ (v29 = 0) | v36 = 0 | ~ (pidMsg(v34) = v35) | ~ (leq(v32, v35) = v36) | ? [v37] : ? [v38] : ? [v39] : (pidElem(v34) = v38 & host(v35) = v39 & elem(v34, v27) = v37 & ( ~ (v39 = v33) | ~ (v38 = 0) | ~ (v37 = 0)))))))) & ! [v26] : ! [v27] : ! [v28] : ! [v29] : ( ~ (snoc(v26, v28) = v29) | ~ (m_Ldr(v27) = v28) | ? [v30] : ? [v31] : (ordered(v29) = v31 & ordered(v26) = v30 & ( ~ (v30 = 0) | v31 = 0))) & ! [v26] : ! [v27] : ! [v28] : ! [v29] : ( ~ (m_NormQ(v28) = v29) | ~ (m_Ack(v26, v27) = v29)) & ! [v26] : ! [v27] : ! [v28] : ! [v29] : ( ~ (m_Ldr(v28) = v29) | ~ (m_Ack(v26, v27) = v29)) & ! [v26] : ! [v27] : ! [v28] : ! [v29] : ( ~ (m_NotNorm(v28) = v29) | ~ (m_Ack(v26, v27) = v29)) & ! [v26] : ! [v27] : ! [v28] : ! [v29] : ( ~ (m_Down(v28) = v29) | ~ (m_Ack(v26, v27) = v29)) & ! [v26] : ! [v27] : ! [v28] : ! [v29] : ( ~ (m_Halt(v28) = v29) | ~ (m_Ack(v26, v27) = v29)) & ! [v26] : ! [v27] : ! [v28] : ! [v29] : ( ~ (leq(v28, v29) = 0) | ~ (s(v27) = v29) | ~ (s(v26) = v28) | leq(v26, v27) = 0) & ! [v26] : ! [v27] : ! [v28] : (v28 = v27 | ~ (m_NormQ(v26) = v28) | ~ (m_NormQ(v26) = v27)) & ! [v26] : ! [v27] : ! [v28] : (v28 = v27 | ~ (m_Ldr(v26) = v28) | ~ (m_Ldr(v26) = v27)) & ! [v26] : ! [v27] : ! [v28] : (v28 = v27 | ~ (m_NotNorm(v26) = v28) | ~ (m_NotNorm(v26) = v27)) & ! [v26] : ! [v27] : ! [v28] : (v28 = v27 | ~ (m_Down(v26) = v28) | ~ (m_Down(v26) = v27)) & ! [v26] : ! [v27] : ! [v28] : (v28 = v27 | ~ (m_Halt(v26) = v28) | ~ (m_Halt(v26) = v27)) & ! [v26] : ! [v27] : ! [v28] : (v28 = v27 | ~ (host(v26) = v28) | ~ (host(v26) = v27)) & ! [v26] : ! [v27] : ! [v28] : (v28 = v26 | ~ (leq(v26, v28) = 0) | ~ (s(v27) = v28) | leq(v26, v27) = 0) & ! [v26] : ! [v27] : ! [v28] : (v28 = 0 | ~ (leq(v26, v27) = v28) | leq(v27, v26) = 0) & ! [v26] : ! [v27] : ! [v28] : (v28 = 0 | ~ (leq(v26, v26) = v28) | ~ (s(v27) = v26)) & ! [v26] : ! [v27] : ! [v28] : (v27 = v26 | ~ (ordered(v28) = v27) | ~ (ordered(v28) = v26)) & ! [v26] : ! [v27] : ! [v28] : (v27 = v26 | ~ (pidMsg(v28) = v27) | ~ (pidMsg(v28) = v26)) & ! [v26] : ! [v27] : ! [v28] : (v27 = v26 | ~ (pidElem(v28) = v27) | ~ (pidElem(v28) = v26)) & ! [v26] : ! [v27] : ! [v28] : (v27 = v26 | ~ (init(v28) = v27) | ~ (init(v28) = v26)) & ! [v26] : ! [v27] : ! [v28] : (v27 = v26 | ~ (last(v28) = v27) | ~ (last(v28) = v26)) & ! [v26] : ! [v27] : ! [v28] : (v27 = v26 | ~ (tail(v28) = v27) | ~ (tail(v28) = v26)) & ! [v26] : ! [v27] : ! [v28] : (v27 = v26 | ~ (head(v28) = v27) | ~ (head(v28) = v26)) & ! [v26] : ! [v27] : ! [v28] : (v27 = v26 | ~ (m_NormQ(v28) = v27) | ~ (m_NormQ(v28) = v26)) & ! [v26] : ! [v27] : ! [v28] : (v27 = v26 | ~ (m_NormQ(v27) = v28) | ~ (m_NormQ(v26) = v28)) & ! [v26] : ! [v27] : ! [v28] : (v27 = v26 | ~ (m_Ldr(v28) = v27) | ~ (m_Ldr(v28) = v26)) & ! [v26] : ! [v27] : ! [v28] : (v27 = v26 | ~ (m_Ldr(v27) = v28) | ~ (m_Ldr(v26) = v28)) & ! [v26] : ! [v27] : ! [v28] : (v27 = v26 | ~ (m_NotNorm(v28) = v27) | ~ (m_NotNorm(v28) = v26)) & ! [v26] : ! [v27] : ! [v28] : (v27 = v26 | ~ (m_NotNorm(v27) = v28) | ~ (m_NotNorm(v26) = v28)) & ! [v26] : ! [v27] : ! [v28] : (v27 = v26 | ~ (m_Down(v28) = v27) | ~ (m_Down(v28) = v26)) & ! [v26] : ! [v27] : ! [v28] : (v27 = v26 | ~ (m_Down(v27) = v28) | ~ (m_Down(v26) = v28)) & ! [v26] : ! [v27] : ! [v28] : (v27 = v26 | ~ (m_Halt(v28) = v27) | ~ (m_Halt(v28) = v26)) & ! [v26] : ! [v27] : ! [v28] : (v27 = v26 | ~ (m_Halt(v27) = v28) | ~ (m_Halt(v26) = v28)) & ! [v26] : ! [v27] : ! [v28] : (v27 = v26 | ~ (s(v28) = v27) | ~ (s(v28) = v26)) & ! [v26] : ! [v27] : ! [v28] : (v27 = v26 | ~ (host(v28) = v27) | ~ (host(v28) = v26)) & ! [v26] : ! [v27] : ! [v28] : (v27 = v26 | ~ (queue(v28) = v27) | ~ (queue(v28) = v26)) & ! [v26] : ! [v27] : ! [v28] : (v27 = 0 | ~ (pidElem(v26) = v27) | ~ (m_Down(v28) = v26)) & ! [v26] : ! [v27] : ! [v28] : (v27 = 0 | ~ (pidElem(v26) = v27) | ~ (m_Halt(v28) = v26)) & ! [v26] : ! [v27] : ! [v28] : ( ~ (ordered(v27) = 0) | ~ (pidElem(v26) = v28) | ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : ? [v35] : ? [v36] : ? [v37] : ? [v38] : (ordered(v31) = v32 & pidMsg(v26) = v29 & snoc(v27, v26) = v31 & host(v29) = v30 & (v32 = 0 | (v37 = v30 & v35 = 0 & v34 = 0 & v28 = 0 & ~ (v38 = 0) & pidMsg(v33) = v36 & pidElem(v33) = 0 & leq(v36, v29) = v38 & host(v36) = v30 & elem(v33, v27) = 0)))) & ! [v26] : ! [v27] : ! [v28] : ( ~ (ordered(v27) = 0) | ~ (pidElem(v26) = v28) | ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : ? [v35] : ? [v36] : ? [v37] : ? [v38] : (ordered(v31) = v32 & pidMsg(v26) = v29 & cons(v26, v27) = v31 & host(v29) = v30 & (v32 = 0 | (v37 = v30 & v35 = 0 & v34 = 0 & v28 = 0 & ~ (v38 = 0) & pidMsg(v33) = v36 & pidElem(v33) = 0 & leq(v29, v36) = v38 & host(v36) = v30 & elem(v33, v27) = 0)))) & ! [v26] : ! [v27] : ! [v28] : ( ~ (snoc(v27, v26) = v28) | init(v28) = v27) & ! [v26] : ! [v27] : ! [v28] : ( ~ (snoc(v27, v26) = v28) | last(v28) = v26) & ! [v26] : ! [v27] : ! [v28] : ( ~ (cons(v26, v27) = v28) | tail(v28) = v27) & ! [v26] : ! [v27] : ! [v28] : ( ~ (cons(v26, v27) = v28) | head(v28) = v26) & ! [v26] : ! [v27] : ! [v28] : ( ~ (m_NormQ(v27) = v28) | ~ (m_Ldr(v26) = v28)) & ! [v26] : ! [v27] : ! [v28] : ( ~ (m_NormQ(v27) = v28) | ~ (m_Down(v26) = v28)) & ! [v26] : ! [v27] : ! [v28] : ( ~ (m_NormQ(v26) = v28) | ~ (m_NotNorm(v27) = v28)) & ! [v26] : ! [v27] : ! [v28] : ( ~ (m_NormQ(v26) = v28) | ~ (m_Halt(v27) = v28)) & ! [v26] : ! [v27] : ! [v28] : ( ~ (m_Ldr(v27) = v28) | ~ (m_Down(v26) = v28)) & ! [v26] : ! [v27] : ! [v28] : ( ~ (m_Ldr(v26) = v28) | ~ (m_NotNorm(v27) = v28)) & ! [v26] : ! [v27] : ! [v28] : ( ~ (m_Ldr(v26) = v28) | ~ (m_Halt(v27) = v28)) & ! [v26] : ! [v27] : ! [v28] : ( ~ (m_NotNorm(v27) = v28) | ~ (m_Down(v26) = v28)) & ! [v26] : ! [v27] : ! [v28] : ( ~ (m_NotNorm(v26) = v28) | ~ (m_Halt(v27) = v28)) & ! [v26] : ! [v27] : ! [v28] : ( ~ (m_Down(v26) = v28) | ~ (m_Halt(v27) = v28)) & ! [v26] : ! [v27] : ! [v28] : ( ~ (host(v27) = v28) | ~ (host(v26) = v28) | ? [v29] : ( ~ (v29 = v28) & s(v28) = v29)) & ! [v26] : ! [v27] : (v27 = v26 | ~ (leq(v26, v27) = 0) | ? [v28] : ( ~ (v28 = 0) & leq(v27, v26) = v28)) & ! [v26] : ! [v27] : (v27 = v26 | ~ (setIn(v27, alive) = 0) | ~ (setIn(v26, alive) = 0) | ? [v28] : ? [v29] : ( ~ (v29 = v28) & host(v27) = v28 & host(v26) = v29)) & ! [v26] : ! [v27] : (v27 = 0 | ~ (leq(v26, v26) = v27)) & ! [v26] : ! [v27] : ~ (snoc(v27, v26) = q_nil) & ! [v26] : ! [v27] : ( ~ (snoc(q_nil, v26) = v27) | ordered(v27) = 0) & ! [v26] : ! [v27] : ~ (cons(v26, v27) = q_nil) & ! [v26] : ! [v27] : ( ~ (cons(v26, q_nil) = v27) | ordered(v27) = 0) & ! [v26] : ! [v27] : ( ~ (cons(v26, q_nil) = v27) | snoc(q_nil, v26) = v27) & ! [v26] : ! [v27] : ( ~ (m_Down(v26) = v27) | pidMsg(v27) = v26) & ! [v26] : ! [v27] : ( ~ (m_Halt(v26) = v27) | pidMsg(v27) = v26) & ! [v26] : ! [v27] : ( ~ (leq(v27, v26) = 0) | ~ (s(v26) = v27)) & ! [v26] : ! [v27] : ( ~ (host(v26) = v27) | leq(v27, nbr_proc) = 0) & ! [v26] : ! [v27] : ( ~ (host(v26) = v27) | leq(v0, v27) = 0) & ! [v26] : ( ~ (pidElem(v26) = 0) | ? [v27] : ? [v28] : ? [v29] : (m_Down(v27) = v29 & m_Halt(v27) = v28 & (v29 = v26 | v28 = v26))) & ! [v26] : ~ (elem(v26, q_nil) = 0) & ! [v26] : ~ (setIn(v26, setEmpty) = 0) & ! [v26] : ( ~ (setIn(v26, alive) = 0) | ? [v27] : ? [v28] : ? [v29] : (index(elid, v27) = v29 & index(status, v27) = v28 & host(v26) = v27 & (v29 = v26 | ( ~ (v28 = elec_1) & ~ (v28 = elec_2))))) & (v14 = 0 | v13 = v9))
% 32.99/9.16 | 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, all_0_24_24, all_0_25_25 yields:
% 32.99/9.16 | (1) ~ (all_0_9_9 = all_0_19_19) & ~ (all_0_12_12 = all_0_19_19) & ~ (all_0_24_24 = 0) & ~ (norm = wait) & ~ (norm = elec_1) & ~ (norm = elec_2) & ~ (wait = elec_1) & ~ (wait = elec_2) & ~ (elec_1 = elec_2) & index(acks, all_0_19_19) = all_0_15_15 & index(ldr, all_0_9_9) = all_0_9_9 & index(elid, all_0_19_19) = all_0_22_22 & index(status, all_0_9_9) = norm & index(status, all_0_12_12) = elec_2 & index(status, all_0_19_19) = elec_2 & index(pendack, all_0_12_12) = all_0_5_5 & index(pendack, all_0_19_19) = all_0_16_16 & ordered(q_nil) = 0 & snoc(all_0_2_2, all_0_14_14) = all_0_1_1 & cons(all_0_17_17, all_0_23_23) = all_0_18_18 & m_Ldr(all_0_21_21) = all_0_14_14 & m_Down(all_0_7_7) = all_0_3_3 & leq(all_0_25_25, nbr_proc) = 0 & leq(nbr_proc, all_0_4_4) = 0 & leq(nbr_proc, all_0_16_16) = 0 & s(all_0_5_5) = all_0_4_4 & s(zero) = all_0_25_25 & m_Ack(all_0_6_6, all_0_8_8) = all_0_0_0 & m_Ack(all_0_22_22, all_0_20_20) = all_0_17_17 & host(all_0_6_6) = all_0_12_12 & host(all_0_7_7) = all_0_4_4 & host(all_0_8_8) = all_0_5_5 & host(all_0_10_10) = all_0_9_9 & host(all_0_13_13) = all_0_12_12 & host(all_0_20_20) = all_0_16_16 & host(all_0_21_21) = all_0_19_19 & queue(all_0_12_12) = all_0_2_2 & queue(all_0_19_19) = all_0_18_18 & elem(all_0_0_0, all_0_1_1) = 0 & elem(all_0_3_3, all_0_1_1) = 0 & setIn(all_0_6_6, alive) = 0 & setIn(all_0_10_10, alive) = 0 & setIn(all_0_12_12, all_0_15_15) = all_0_11_11 & setIn(all_0_21_21, alive) = 0 & setIn(nil, alive) = all_0_24_24 & ! [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_25_25, 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_25_25, 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))))) & (all_0_11_11 = 0 | all_0_12_12 = all_0_16_16)
% 32.99/9.19 |
% 32.99/9.19 | Applying alpha-rule on (1) yields:
% 32.99/9.19 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (snoc(v2, v1) = v3) | ~ (cons(v0, v3) = v4) | ? [v5] : (snoc(v5, v1) = v4 & cons(v0, v2) = v5))
% 33.36/9.19 | (3) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (m_Ldr(v2) = v1) | ~ (m_Ldr(v2) = v0))
% 33.36/9.19 | (4) ! [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))
% 33.36/9.19 | (5) elem(all_0_0_0, all_0_1_1) = 0
% 33.36/9.19 | (6) ! [v0] : ! [v1] : ! [v2] : ( ~ (host(v1) = v2) | ~ (host(v0) = v2) | ? [v3] : ( ~ (v3 = v2) & s(v2) = v3))
% 33.36/9.19 | (7) ! [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_25_25, v14) = 0 & leq(nbr_proc, v14) = v15 & setIn(v14, v9) = v17))))
% 33.36/9.19 | (8) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (m_Down(v1) = v2) | ~ (m_Down(v0) = v2))
% 33.36/9.19 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (m_Ldr(v2) = v3) | ~ (m_Ack(v0, v1) = v3))
% 33.36/9.19 | (10) setIn(all_0_6_6, alive) = 0
% 33.36/9.19 | (11) m_Ack(all_0_6_6, all_0_8_8) = all_0_0_0
% 33.36/9.19 | (12) all_0_11_11 = 0 | all_0_12_12 = all_0_16_16
% 33.36/9.19 | (13) ! [v0] : ! [v1] : ! [v2] : ( ~ (cons(v0, v1) = v2) | head(v2) = v0)
% 33.36/9.19 | (14) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (head(v2) = v1) | ~ (head(v2) = v0))
% 33.36/9.19 | (15) ! [v0] : ! [v1] : ( ~ (m_Down(v0) = v1) | pidMsg(v1) = v0)
% 33.36/9.19 | (16) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (cons(v1, v2) = v3) | ~ (elem(v0, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & elem(v0, v2) = v5))
% 33.36/9.20 | (17) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (m_NotNorm(v1) = v2) | ~ (m_NotNorm(v0) = v2))
% 33.36/9.20 | (18) ! [v0] : ! [v1] : ! [v2] : ( ~ (m_Ldr(v0) = v2) | ~ (m_NotNorm(v1) = v2))
% 33.36/9.20 | (19) ! [v0] : ! [v1] : ! [v2] : ( ~ (m_Ldr(v0) = v2) | ~ (m_Halt(v1) = v2))
% 33.36/9.20 | (20) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (m_NormQ(v2) = v3) | ~ (m_Ack(v0, v1) = v3))
% 33.36/9.20 | (21) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leq(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & leq(v1, v2) = v4))
% 33.36/9.20 | (22) ~ (norm = elec_2)
% 33.36/9.20 | (23) ~ (all_0_24_24 = 0)
% 33.36/9.20 | (24) host(all_0_13_13) = all_0_12_12
% 33.36/9.20 | (25) m_Ack(all_0_22_22, all_0_20_20) = all_0_17_17
% 33.36/9.20 | (26) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (setIn(v3, v2) = v1) | ~ (setIn(v3, v2) = v0))
% 33.36/9.20 | (27) ! [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))
% 33.36/9.20 | (28) cons(all_0_17_17, all_0_23_23) = all_0_18_18
% 33.36/9.20 | (29) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (index(v3, v2) = v1) | ~ (index(v3, v2) = v0))
% 33.36/9.20 | (30) ! [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)))))
% 33.36/9.20 | (31) setIn(nil, alive) = all_0_24_24
% 33.36/9.20 | (32) ! [v0] : ! [v1] : ( ~ (snoc(q_nil, v0) = v1) | ordered(v1) = 0)
% 33.36/9.20 | (33) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (leq(v0, v1) = v2) | leq(v1, v0) = 0)
% 33.36/9.20 | (34) ! [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)))
% 33.36/9.20 | (35) index(acks, all_0_19_19) = all_0_15_15
% 33.36/9.20 | (36) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (snoc(v1, v0) = v2) | ~ (elem(v0, v2) = v3))
% 33.36/9.20 | (37) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (snoc(v3, v2) = v1) | ~ (snoc(v3, v2) = v0))
% 33.36/9.20 | (38) ! [v0] : ! [v1] : ! [v2] : ( ~ (m_NotNorm(v0) = v2) | ~ (m_Halt(v1) = v2))
% 33.36/9.20 | (39) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (host(v0) = v2) | ~ (host(v0) = v1))
% 33.36/9.20 | (40) ! [v0] : ! [v1] : ! [v2] : ( ~ (snoc(v1, v0) = v2) | init(v2) = v1)
% 33.36/9.20 | (41) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (m_Halt(v2) = v3) | ~ (m_Ack(v0, v1) = v3))
% 33.36/9.20 | (42) ! [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))))))))
% 33.36/9.20 | (43) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (pidElem(v0) = v1) | ~ (m_Halt(v2) = v0))
% 33.36/9.21 | (44) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (snoc(v2, v1) = v3) | ~ (elem(v0, v3) = 0) | elem(v0, v2) = 0)
% 33.36/9.21 | (45) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0))
% 33.36/9.21 | (46) ~ (all_0_9_9 = all_0_19_19)
% 33.36/9.21 | (47) host(all_0_8_8) = all_0_5_5
% 33.36/9.21 | (48) queue(all_0_19_19) = all_0_18_18
% 33.36/9.21 | (49) ! [v0] : ! [v1] : ! [v2] : ( ~ (m_NotNorm(v1) = v2) | ~ (m_Down(v0) = v2))
% 33.36/9.21 | (50) ~ (elec_1 = elec_2)
% 33.36/9.21 | (51) ! [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)))
% 33.36/9.21 | (52) ~ (norm = elec_1)
% 33.36/9.21 | (53) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (leq(v2, v3) = v4) | ~ (s(v1) = v3) | ~ (s(v0) = v2) | ? [v5] : ( ~ (v5 = 0) & leq(v0, v1) = v5))
% 33.36/9.21 | (54) ! [v0] : ! [v1] : (v1 = v0 | ~ (setIn(v1, alive) = 0) | ~ (setIn(v0, alive) = 0) | ? [v2] : ? [v3] : ( ~ (v3 = v2) & host(v1) = v2 & host(v0) = v3))
% 33.36/9.21 | (55) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (m_NormQ(v0) = v2) | ~ (m_NormQ(v0) = v1))
% 33.36/9.21 | (56) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (m_NotNorm(v0) = v2) | ~ (m_NotNorm(v0) = v1))
% 33.36/9.21 | (57) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (m_Ldr(v1) = v2) | ~ (m_Ldr(v0) = v2))
% 33.36/9.21 | (58) leq(nbr_proc, all_0_4_4) = 0
% 33.36/9.21 | (59) ~ (norm = wait)
% 33.36/9.21 | (60) setIn(all_0_10_10, alive) = 0
% 33.36/9.21 | (61) ! [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))
% 33.36/9.21 | (62) host(all_0_21_21) = all_0_19_19
% 33.36/9.21 | (63) ! [v0] : ~ (setIn(v0, setEmpty) = 0)
% 33.36/9.21 | (64) ! [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))))
% 33.36/9.21 | (65) ! [v0] : ~ (elem(v0, q_nil) = 0)
% 33.36/9.21 | (66) s(all_0_5_5) = all_0_4_4
% 33.36/9.21 | (67) setIn(all_0_12_12, all_0_15_15) = all_0_11_11
% 33.36/9.21 | (68) ! [v0] : ! [v1] : (v1 = v0 | ~ (leq(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & leq(v1, v0) = v2))
% 33.36/9.21 | (69) m_Ldr(all_0_21_21) = all_0_14_14
% 33.36/9.21 | (70) host(all_0_7_7) = all_0_4_4
% 33.36/9.21 | (71) ! [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))))
% 33.36/9.21 | (72) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (m_NormQ(v1) = v2) | ~ (m_NormQ(v0) = v2))
% 33.36/9.21 | (73) index(pendack, all_0_12_12) = all_0_5_5
% 33.36/9.21 | (74) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (m_Ack(v1, v3) = v4) | ~ (m_Ack(v0, v2) = v4))
% 33.36/9.21 | (75) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (m_NormQ(v2) = v1) | ~ (m_NormQ(v2) = v0))
% 33.36/9.21 | (76) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (snoc(v0, v2) = v3) | ~ (m_Ldr(v1) = v2) | ? [v4] : ? [v5] : (ordered(v3) = v5 & ordered(v0) = v4 & ( ~ (v4 = 0) | v5 = 0)))
% 33.36/9.21 | (77) elem(all_0_3_3, all_0_1_1) = 0
% 33.36/9.21 | (78) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (m_Down(v2) = v3) | ~ (m_Ack(v0, v1) = v3))
% 33.36/9.21 | (79) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (m_Halt(v1) = v2) | ~ (m_Halt(v0) = v2))
% 33.36/9.21 | (80) ! [v0] : ! [v1] : ! [v2] : ( ~ (m_NormQ(v1) = v2) | ~ (m_Down(v0) = v2))
% 33.36/9.21 | (81) index(status, all_0_9_9) = norm
% 33.36/9.21 | (82) ! [v0] : ! [v1] : ( ~ (leq(v1, v0) = 0) | ~ (s(v0) = v1))
% 33.36/9.21 | (83) ! [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (leq(v0, v2) = 0) | ~ (s(v1) = v2) | leq(v0, v1) = 0)
% 33.36/9.21 | (84) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (m_Down(v0) = v2) | ~ (m_Down(v0) = v1))
% 33.36/9.21 | (85) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0))
% 33.36/9.21 | (86) ! [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))))))))
% 33.36/9.22 | (87) index(ldr, all_0_9_9) = all_0_9_9
% 33.36/9.22 | (88) ! [v0] : ! [v1] : ! [v2] : ( ~ (m_NormQ(v0) = v2) | ~ (m_Halt(v1) = v2))
% 33.36/9.22 | (89) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (pidMsg(v2) = v1) | ~ (pidMsg(v2) = v0))
% 33.36/9.22 | (90) ~ (wait = elec_2)
% 33.36/9.22 | (91) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | v0 = q_nil | ~ (init(v0) = v1) | ~ (snoc(v1, v2) = v3) | ~ (last(v0) = v2))
% 33.36/9.22 | (92) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | v0 = q_nil | ~ (tail(v0) = v2) | ~ (cons(v1, v2) = v3) | ~ (head(v0) = v1))
% 33.36/9.22 | (93) ! [v0] : ! [v1] : ! [v2] : ( ~ (cons(v0, v1) = v2) | tail(v2) = v1)
% 33.36/9.22 | (94) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (pidElem(v2) = v1) | ~ (pidElem(v2) = v0))
% 33.36/9.22 | (95) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (snoc(v2, v1) = v3) | ~ (elem(v0, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & elem(v0, v2) = v5))
% 33.36/9.22 | (96) m_Down(all_0_7_7) = all_0_3_3
% 33.36/9.22 | (97) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cons(v1, v2) = v3) | ~ (elem(v0, v3) = 0) | elem(v0, v2) = 0)
% 33.36/9.22 | (98) ! [v0] : ! [v1] : ( ~ (cons(v0, q_nil) = v1) | snoc(q_nil, v0) = v1)
% 33.36/9.22 | (99) ~ (all_0_12_12 = all_0_19_19)
% 33.36/9.22 | (100) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tail(v2) = v1) | ~ (tail(v2) = v0))
% 33.36/9.22 | (101) index(elid, all_0_19_19) = all_0_22_22
% 33.36/9.22 | (102) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (s(v2) = v1) | ~ (s(v2) = v0))
% 33.36/9.22 | (103) ! [v0] : ! [v1] : ~ (snoc(v1, v0) = q_nil)
% 33.36/9.22 | (104) leq(all_0_25_25, nbr_proc) = 0
% 33.36/9.22 | (105) host(all_0_10_10) = all_0_9_9
% 33.36/9.22 | (106) index(status, all_0_19_19) = elec_2
% 33.36/9.22 | (107) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (m_Ldr(v0) = v2) | ~ (m_Ldr(v0) = v1))
% 33.36/9.22 | (108) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (pidElem(v0) = v1) | ~ (m_Down(v2) = v0))
% 33.36/9.22 | (109) ! [v0] : ! [v1] : ! [v2] : ( ~ (m_NormQ(v1) = v2) | ~ (m_Ldr(v0) = v2))
% 33.36/9.22 | (110) ~ (wait = elec_1)
% 33.36/9.22 | (111) ! [v0] : ! [v1] : ! [v2] : ( ~ (m_NormQ(v0) = v2) | ~ (m_NotNorm(v1) = v2))
% 33.36/9.22 | (112) ! [v0] : ( ~ (pidElem(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : (m_Down(v1) = v3 & m_Halt(v1) = v2 & (v3 = v0 | v2 = v0)))
% 33.36/9.22 | (113) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (cons(v0, v1) = v2) | ~ (elem(v0, v2) = v3))
% 33.36/9.22 | (114) ! [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))
% 33.36/9.22 | (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 & 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))))
% 33.36/9.22 | (116) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ordered(v2) = v1) | ~ (ordered(v2) = v0))
% 33.36/9.22 | (117) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (elem(v3, v2) = v1) | ~ (elem(v3, v2) = v0))
% 33.36/9.22 | (118) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (m_Ack(v3, v2) = v1) | ~ (m_Ack(v3, v2) = v0))
% 33.36/9.22 | (119) ! [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))
% 33.36/9.22 | (120) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leq(v0, v2) = v3) | ~ (s(v1) = v2) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4))
% 33.36/9.22 | (121) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (init(v2) = v1) | ~ (init(v2) = v0))
% 33.36/9.22 | (122) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (m_Halt(v0) = v2) | ~ (m_Halt(v0) = v1))
% 33.36/9.22 | (123) ! [v0] : ! [v1] : ( ~ (host(v0) = v1) | leq(v1, nbr_proc) = 0)
% 33.36/9.22 | (124) ! [v0] : ! [v1] : ( ~ (m_Halt(v0) = v1) | pidMsg(v1) = v0)
% 33.36/9.22 | (125) ordered(q_nil) = 0
% 33.36/9.22 | (126) ! [v0] : ! [v1] : ( ~ (cons(v0, q_nil) = v1) | ordered(v1) = 0)
% 33.36/9.22 | (127) ! [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))))
% 33.36/9.22 | (128) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (leq(v2, v3) = 0) | ~ (s(v1) = v3) | ~ (s(v0) = v2) | leq(v0, v1) = 0)
% 33.36/9.22 | (129) host(all_0_20_20) = all_0_16_16
% 33.36/9.22 | (130) ! [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))))
% 33.36/9.22 | (131) ! [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))))
% 33.36/9.23 | (132) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (host(v2) = v1) | ~ (host(v2) = v0))
% 33.36/9.23 | (133) ! [v0] : ! [v1] : ~ (cons(v0, v1) = q_nil)
% 33.36/9.23 | (134) queue(all_0_12_12) = all_0_2_2
% 33.36/9.23 | (135) ! [v0] : ! [v1] : ! [v2] : ( ~ (m_Down(v0) = v2) | ~ (m_Halt(v1) = v2))
% 33.36/9.23 | (136) ! [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)))
% 33.36/9.23 | (137) ! [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)))
% 33.36/9.23 | (138) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (m_NotNorm(v2) = v1) | ~ (m_NotNorm(v2) = v0))
% 33.36/9.23 | (139) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (queue(v2) = v1) | ~ (queue(v2) = v0))
% 33.36/9.23 | (140) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (m_NotNorm(v2) = v3) | ~ (m_Ack(v0, v1) = v3))
% 33.36/9.23 | (141) ! [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))))
% 33.36/9.23 | (142) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (m_Ack(v1, v3) = v4) | ~ (m_Ack(v0, v2) = v4))
% 33.36/9.23 | (143) index(pendack, all_0_19_19) = all_0_16_16
% 33.36/9.23 | (144) host(all_0_6_6) = all_0_12_12
% 33.36/9.23 | (145) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (m_Halt(v2) = v1) | ~ (m_Halt(v2) = v0))
% 33.36/9.23 | (146) ! [v0] : ! [v1] : ! [v2] : ( ~ (m_Ldr(v1) = v2) | ~ (m_Down(v0) = v2))
% 33.36/9.23 | (147) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (last(v2) = v1) | ~ (last(v2) = v0))
% 33.36/9.23 | (148) index(status, all_0_12_12) = elec_2
% 33.36/9.23 | (149) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (m_Down(v2) = v1) | ~ (m_Down(v2) = v0))
% 33.36/9.23 | (150) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (leq(v0, v0) = v2) | ~ (s(v1) = v0))
% 33.36/9.23 | (151) setIn(all_0_21_21, alive) = 0
% 33.36/9.23 | (152) snoc(all_0_2_2, all_0_14_14) = all_0_1_1
% 33.36/9.23 | (153) ! [v0] : ! [v1] : ( ~ (host(v0) = v1) | leq(all_0_25_25, v1) = 0)
% 33.36/9.23 | (154) ! [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))))
% 33.36/9.23 | (155) ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1))
% 33.36/9.23 | (156) leq(nbr_proc, all_0_16_16) = 0
% 33.36/9.23 | (157) ! [v0] : ! [v1] : ! [v2] : ( ~ (snoc(v1, v0) = v2) | last(v2) = v0)
% 33.36/9.23 | (158) s(zero) = all_0_25_25
% 33.36/9.23 |
% 33.36/9.23 | Instantiating formula (146) with all_0_14_14, all_0_21_21, all_0_7_7 and discharging atoms m_Ldr(all_0_21_21) = all_0_14_14, yields:
% 33.36/9.23 | (159) ~ (m_Down(all_0_7_7) = all_0_14_14)
% 33.36/9.23 |
% 33.36/9.23 | Instantiating formula (9) with all_0_14_14, all_0_21_21, all_0_8_8, all_0_6_6 and discharging atoms m_Ldr(all_0_21_21) = all_0_14_14, yields:
% 33.36/9.23 | (160) ~ (m_Ack(all_0_6_6, all_0_8_8) = all_0_14_14)
% 33.36/9.23 |
% 33.36/9.23 | Using (96) and (159) yields:
% 33.36/9.23 | (161) ~ (all_0_3_3 = all_0_14_14)
% 33.36/9.23 |
% 33.36/9.23 | Using (11) and (160) yields:
% 33.36/9.23 | (162) ~ (all_0_0_0 = all_0_14_14)
% 33.36/9.23 |
% 33.36/9.23 | Instantiating formula (68) with all_0_4_4, nbr_proc and discharging atoms leq(nbr_proc, all_0_4_4) = 0, yields:
% 33.36/9.23 | (163) all_0_4_4 = nbr_proc | ? [v0] : ( ~ (v0 = 0) & leq(all_0_4_4, nbr_proc) = v0)
% 33.36/9.23 |
% 33.36/9.23 | Instantiating formula (68) with all_0_16_16, nbr_proc and discharging atoms leq(nbr_proc, all_0_16_16) = 0, yields:
% 33.36/9.23 | (164) all_0_16_16 = nbr_proc | ? [v0] : ( ~ (v0 = 0) & leq(all_0_16_16, nbr_proc) = v0)
% 33.36/9.23 |
% 33.36/9.23 | Instantiating formula (128) with nbr_proc, nbr_proc, all_0_5_5, all_0_5_5 yields:
% 33.36/9.23 | (165) ~ (leq(nbr_proc, nbr_proc) = 0) | ~ (s(all_0_5_5) = nbr_proc) | leq(all_0_5_5, all_0_5_5) = 0
% 33.36/9.23 |
% 33.36/9.23 | Instantiating formula (123) with all_0_4_4, all_0_7_7 and discharging atoms host(all_0_7_7) = all_0_4_4, yields:
% 33.36/9.23 | (166) leq(all_0_4_4, nbr_proc) = 0
% 33.36/9.23 |
% 33.36/9.23 | Instantiating formula (6) with all_0_5_5, all_0_8_8, all_0_8_8 and discharging atoms host(all_0_8_8) = all_0_5_5, yields:
% 33.36/9.23 | (167) ? [v0] : ( ~ (v0 = all_0_5_5) & s(all_0_5_5) = v0)
% 33.36/9.23 |
% 33.36/9.23 | Instantiating formula (123) with all_0_5_5, all_0_8_8 and discharging atoms host(all_0_8_8) = all_0_5_5, yields:
% 33.36/9.23 | (168) leq(all_0_5_5, nbr_proc) = 0
% 33.36/9.23 |
% 33.36/9.23 | Instantiating formula (123) with all_0_16_16, all_0_20_20 and discharging atoms host(all_0_20_20) = all_0_16_16, yields:
% 33.36/9.23 | (169) leq(all_0_16_16, nbr_proc) = 0
% 33.36/9.23 |
% 33.36/9.23 | Instantiating formula (34) with nbr_proc, nbr_proc, all_0_19_19, all_0_19_19, all_0_21_21, all_0_21_21 and discharging atoms host(all_0_21_21) = all_0_19_19, yields:
% 33.36/9.23 | (170) ~ (index(pendack, all_0_19_19) = nbr_proc) | ~ (leq(nbr_proc, nbr_proc) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (index(status, all_0_19_19) = v4 & index(status, all_0_19_19) = v3 & leq(all_0_19_19, all_0_19_19) = v0 & setIn(all_0_21_21, alive) = v2 & setIn(all_0_21_21, alive) = v1 & ( ~ (v4 = elec_2) | ~ (v3 = elec_2) | ~ (v2 = 0) | ~ (v1 = 0) | v0 = 0))
% 33.36/9.24 |
% 33.36/9.24 | Instantiating formula (114) with all_0_2_2, all_0_12_12, all_0_0_0, all_0_8_8, all_0_6_6 and discharging atoms m_Ack(all_0_6_6, all_0_8_8) = all_0_0_0, host(all_0_6_6) = all_0_12_12, queue(all_0_12_12) = all_0_2_2, yields:
% 33.36/9.24 | (171) ~ (elem(all_0_0_0, all_0_2_2) = 0) | (setIn(all_0_6_6, pids) = 0 & setIn(all_0_8_8, pids) = 0)
% 33.36/9.24 |
% 33.36/9.24 | Instantiating formula (27) with all_0_2_2, all_0_12_12, all_0_0_0, all_0_6_6, all_0_13_13, all_0_8_8 and discharging atoms m_Ack(all_0_6_6, all_0_8_8) = all_0_0_0, host(all_0_13_13) = all_0_12_12, queue(all_0_12_12) = all_0_2_2, yields:
% 33.36/9.24 | (172) ~ (elem(all_0_0_0, all_0_2_2) = 0) | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = 0) & leq(v0, v1) = v2 & host(all_0_6_6) = v1 & host(all_0_8_8) = v0)
% 33.36/9.24 |
% 33.36/9.24 | Instantiating formula (44) with all_0_1_1, all_0_2_2, all_0_14_14, all_0_0_0 and discharging atoms snoc(all_0_2_2, all_0_14_14) = all_0_1_1, elem(all_0_0_0, all_0_1_1) = 0, yields:
% 33.36/9.24 | (173) all_0_0_0 = all_0_14_14 | elem(all_0_0_0, all_0_2_2) = 0
% 33.36/9.24 |
% 33.36/9.24 | Instantiating formula (119) with all_0_2_2, all_0_12_12, all_0_3_3, all_0_7_7, all_0_13_13 and discharging atoms m_Down(all_0_7_7) = all_0_3_3, host(all_0_13_13) = all_0_12_12, queue(all_0_12_12) = all_0_2_2, yields:
% 33.36/9.24 | (174) ~ (elem(all_0_3_3, all_0_2_2) = 0) | ? [v0] : ( ~ (v0 = all_0_12_12) & host(all_0_7_7) = v0)
% 33.36/9.24 |
% 33.36/9.24 | Instantiating formula (44) with all_0_1_1, all_0_2_2, all_0_14_14, all_0_3_3 and discharging atoms snoc(all_0_2_2, all_0_14_14) = all_0_1_1, elem(all_0_3_3, all_0_1_1) = 0, yields:
% 33.36/9.24 | (175) all_0_3_3 = all_0_14_14 | elem(all_0_3_3, all_0_2_2) = 0
% 33.36/9.24 |
% 33.36/9.24 | Instantiating formula (130) with all_0_2_2, all_0_12_12, all_0_3_3, all_0_6_6, all_0_7_7, all_0_6_6 and discharging atoms m_Down(all_0_7_7) = all_0_3_3, host(all_0_6_6) = all_0_12_12, queue(all_0_12_12) = all_0_2_2, setIn(all_0_6_6, alive) = 0, yields:
% 33.36/9.24 | (176) ~ (elem(all_0_3_3, all_0_2_2) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (index(ldr, v2) = v3 & index(status, v2) = v4 & host(all_0_6_6) = v2 & host(all_0_7_7) = v1 & setIn(all_0_6_6, alive) = v0 & ( ~ (v4 = norm) | ~ (v3 = v1) | ~ (v2 = v1) | ~ (v0 = 0)))
% 33.36/9.24 |
% 33.36/9.24 | Instantiating formula (130) with all_0_2_2, all_0_12_12, all_0_3_3, all_0_13_13, all_0_7_7, all_0_6_6 and discharging atoms m_Down(all_0_7_7) = all_0_3_3, host(all_0_13_13) = all_0_12_12, queue(all_0_12_12) = all_0_2_2, setIn(all_0_6_6, alive) = 0, yields:
% 33.36/9.24 | (177) ~ (elem(all_0_3_3, all_0_2_2) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (index(ldr, v2) = v3 & index(status, v2) = v4 & host(all_0_6_6) = v2 & host(all_0_7_7) = v1 & setIn(all_0_13_13, alive) = v0 & ( ~ (v4 = norm) | ~ (v3 = v1) | ~ (v2 = v1) | ~ (v0 = 0)))
% 33.36/9.24 |
% 33.36/9.24 | Instantiating formula (154) with all_0_2_2, all_0_0_0, all_0_12_12, all_0_6_6, all_0_8_8, all_0_6_6 and discharging atoms m_Ack(all_0_6_6, all_0_8_8) = all_0_0_0, host(all_0_6_6) = all_0_12_12, queue(all_0_12_12) = all_0_2_2, setIn(all_0_6_6, alive) = 0, yields:
% 33.36/9.24 | (178) ~ (elem(all_0_0_0, all_0_2_2) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (index(status, v1) = v4 & index(status, all_0_12_12) = v3 & host(all_0_6_6) = v1 & host(all_0_8_8) = v2 & setIn(all_0_6_6, alive) = v0 & ( ~ (v4 = elec_2) | ~ (v3 = elec_2) | ~ (v2 = v1) | ~ (v0 = 0)))
% 33.36/9.24 |
% 33.36/9.24 | Instantiating formula (30) with all_0_6_6 and discharging atoms setIn(all_0_6_6, alive) = 0, yields:
% 33.36/9.24 | (179) ? [v0] : ? [v1] : ? [v2] : (index(elid, v0) = v2 & index(status, v0) = v1 & host(all_0_6_6) = v0 & (v2 = all_0_6_6 | ( ~ (v1 = elec_1) & ~ (v1 = elec_2))))
% 33.36/9.24 |
% 33.36/9.24 | Instantiating formula (130) with all_0_2_2, all_0_12_12, all_0_3_3, all_0_6_6, all_0_7_7, all_0_10_10 and discharging atoms m_Down(all_0_7_7) = all_0_3_3, host(all_0_6_6) = all_0_12_12, queue(all_0_12_12) = all_0_2_2, setIn(all_0_10_10, alive) = 0, yields:
% 33.36/9.24 | (180) ~ (elem(all_0_3_3, all_0_2_2) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (index(ldr, v2) = v3 & index(status, v2) = v4 & host(all_0_7_7) = v1 & host(all_0_10_10) = v2 & setIn(all_0_6_6, alive) = v0 & ( ~ (v4 = norm) | ~ (v3 = v1) | ~ (v2 = v1) | ~ (v0 = 0)))
% 33.36/9.24 |
% 33.36/9.24 | Instantiating formula (130) with all_0_2_2, all_0_12_12, all_0_3_3, all_0_13_13, all_0_7_7, all_0_10_10 and discharging atoms m_Down(all_0_7_7) = all_0_3_3, host(all_0_13_13) = all_0_12_12, queue(all_0_12_12) = all_0_2_2, setIn(all_0_10_10, alive) = 0, yields:
% 33.36/9.24 | (181) ~ (elem(all_0_3_3, all_0_2_2) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (index(ldr, v2) = v3 & index(status, v2) = v4 & host(all_0_7_7) = v1 & host(all_0_10_10) = v2 & setIn(all_0_13_13, alive) = v0 & ( ~ (v4 = norm) | ~ (v3 = v1) | ~ (v2 = v1) | ~ (v0 = 0)))
% 33.36/9.24 |
% 33.36/9.24 | Instantiating formula (30) with all_0_10_10 and discharging atoms setIn(all_0_10_10, alive) = 0, yields:
% 33.36/9.24 | (182) ? [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))))
% 33.36/9.24 |
% 33.36/9.24 | Instantiating formula (130) with all_0_2_2, all_0_12_12, all_0_3_3, all_0_6_6, all_0_7_7, all_0_21_21 and discharging atoms m_Down(all_0_7_7) = all_0_3_3, host(all_0_6_6) = all_0_12_12, queue(all_0_12_12) = all_0_2_2, setIn(all_0_21_21, alive) = 0, yields:
% 33.36/9.24 | (183) ~ (elem(all_0_3_3, all_0_2_2) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (index(ldr, v2) = v3 & index(status, v2) = v4 & host(all_0_7_7) = v1 & host(all_0_21_21) = v2 & setIn(all_0_6_6, alive) = v0 & ( ~ (v4 = norm) | ~ (v3 = v1) | ~ (v2 = v1) | ~ (v0 = 0)))
% 33.36/9.24 |
% 33.36/9.24 | Instantiating formula (130) with all_0_2_2, all_0_12_12, all_0_3_3, all_0_13_13, all_0_7_7, all_0_21_21 and discharging atoms m_Down(all_0_7_7) = all_0_3_3, host(all_0_13_13) = all_0_12_12, queue(all_0_12_12) = all_0_2_2, setIn(all_0_21_21, alive) = 0, yields:
% 33.36/9.24 | (184) ~ (elem(all_0_3_3, all_0_2_2) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (index(ldr, v2) = v3 & index(status, v2) = v4 & host(all_0_7_7) = v1 & host(all_0_21_21) = v2 & setIn(all_0_13_13, alive) = v0 & ( ~ (v4 = norm) | ~ (v3 = v1) | ~ (v2 = v1) | ~ (v0 = 0)))
% 33.36/9.24 |
% 33.36/9.24 | Instantiating formula (154) with all_0_2_2, all_0_0_0, all_0_12_12, all_0_21_21, all_0_8_8, all_0_6_6 and discharging atoms m_Ack(all_0_6_6, all_0_8_8) = all_0_0_0, host(all_0_6_6) = all_0_12_12, queue(all_0_12_12) = all_0_2_2, setIn(all_0_21_21, alive) = 0, yields:
% 33.36/9.24 | (185) ~ (elem(all_0_0_0, all_0_2_2) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (index(status, v1) = v4 & index(status, all_0_12_12) = v3 & host(all_0_8_8) = v2 & host(all_0_21_21) = v1 & setIn(all_0_6_6, alive) = v0 & ( ~ (v4 = elec_2) | ~ (v3 = elec_2) | ~ (v2 = v1) | ~ (v0 = 0)))
% 33.36/9.24 |
% 33.36/9.24 | Instantiating formula (30) with all_0_21_21 and discharging atoms setIn(all_0_21_21, alive) = 0, yields:
% 33.36/9.24 | (186) ? [v0] : ? [v1] : ? [v2] : (index(elid, v0) = v2 & index(status, v0) = v1 & host(all_0_21_21) = v0 & (v2 = all_0_21_21 | ( ~ (v1 = elec_1) & ~ (v1 = elec_2))))
% 33.36/9.24 |
% 33.36/9.24 | Instantiating (167) with all_19_0_27 yields:
% 33.36/9.24 | (187) ~ (all_19_0_27 = all_0_5_5) & s(all_0_5_5) = all_19_0_27
% 33.36/9.24 |
% 33.36/9.24 | Applying alpha-rule on (187) yields:
% 33.36/9.24 | (188) ~ (all_19_0_27 = all_0_5_5)
% 33.36/9.24 | (189) s(all_0_5_5) = all_19_0_27
% 33.36/9.24 |
% 33.36/9.24 | Instantiating (186) with all_25_0_31, all_25_1_32, all_25_2_33 yields:
% 33.36/9.24 | (190) index(elid, all_25_2_33) = all_25_0_31 & index(status, all_25_2_33) = all_25_1_32 & host(all_0_21_21) = all_25_2_33 & (all_25_0_31 = all_0_21_21 | ( ~ (all_25_1_32 = elec_1) & ~ (all_25_1_32 = elec_2)))
% 33.36/9.24 |
% 33.36/9.24 | Applying alpha-rule on (190) yields:
% 33.36/9.24 | (191) index(elid, all_25_2_33) = all_25_0_31
% 33.36/9.24 | (192) index(status, all_25_2_33) = all_25_1_32
% 33.36/9.24 | (193) host(all_0_21_21) = all_25_2_33
% 33.36/9.24 | (194) all_25_0_31 = all_0_21_21 | ( ~ (all_25_1_32 = elec_1) & ~ (all_25_1_32 = elec_2))
% 33.36/9.24 |
% 33.36/9.24 | Instantiating (182) with all_27_0_34, all_27_1_35, all_27_2_36 yields:
% 33.36/9.24 | (195) index(elid, all_27_2_36) = all_27_0_34 & index(status, all_27_2_36) = all_27_1_35 & host(all_0_10_10) = all_27_2_36 & (all_27_0_34 = all_0_10_10 | ( ~ (all_27_1_35 = elec_1) & ~ (all_27_1_35 = elec_2)))
% 33.36/9.25 |
% 33.36/9.25 | Applying alpha-rule on (195) yields:
% 33.36/9.25 | (196) index(elid, all_27_2_36) = all_27_0_34
% 33.36/9.25 | (197) index(status, all_27_2_36) = all_27_1_35
% 33.36/9.25 | (198) host(all_0_10_10) = all_27_2_36
% 33.36/9.25 | (199) all_27_0_34 = all_0_10_10 | ( ~ (all_27_1_35 = elec_1) & ~ (all_27_1_35 = elec_2))
% 33.36/9.25 |
% 33.36/9.25 | Instantiating (179) with all_33_0_39, all_33_1_40, all_33_2_41 yields:
% 33.36/9.25 | (200) index(elid, all_33_2_41) = all_33_0_39 & index(status, all_33_2_41) = all_33_1_40 & host(all_0_6_6) = all_33_2_41 & (all_33_0_39 = all_0_6_6 | ( ~ (all_33_1_40 = elec_1) & ~ (all_33_1_40 = elec_2)))
% 33.36/9.25 |
% 33.36/9.25 | Applying alpha-rule on (200) yields:
% 33.36/9.25 | (201) index(elid, all_33_2_41) = all_33_0_39
% 33.36/9.25 | (202) index(status, all_33_2_41) = all_33_1_40
% 33.36/9.25 | (203) host(all_0_6_6) = all_33_2_41
% 33.36/9.25 | (204) all_33_0_39 = all_0_6_6 | ( ~ (all_33_1_40 = elec_1) & ~ (all_33_1_40 = elec_2))
% 33.36/9.25 |
% 33.36/9.25 +-Applying beta-rule and splitting (175), into two cases.
% 33.36/9.25 |-Branch one:
% 33.36/9.25 | (205) elem(all_0_3_3, all_0_2_2) = 0
% 33.36/9.25 |
% 33.36/9.25 +-Applying beta-rule and splitting (163), into two cases.
% 33.36/9.25 |-Branch one:
% 33.36/9.25 | (206) all_0_4_4 = nbr_proc
% 33.36/9.25 |
% 33.36/9.25 | From (206) and (58) follows:
% 33.36/9.25 | (207) leq(nbr_proc, nbr_proc) = 0
% 33.36/9.25 |
% 33.36/9.25 | From (206) and (66) follows:
% 33.36/9.25 | (208) s(all_0_5_5) = nbr_proc
% 33.36/9.25 |
% 33.36/9.25 | From (206) and (70) follows:
% 33.36/9.25 | (209) host(all_0_7_7) = nbr_proc
% 33.36/9.25 |
% 33.36/9.25 +-Applying beta-rule and splitting (177), into two cases.
% 33.36/9.25 |-Branch one:
% 33.36/9.25 | (210) ~ (elem(all_0_3_3, all_0_2_2) = 0)
% 33.36/9.25 |
% 33.36/9.25 | Using (205) and (210) yields:
% 33.36/9.25 | (211) $false
% 33.36/9.25 |
% 33.36/9.25 |-The branch is then unsatisfiable
% 33.36/9.25 |-Branch two:
% 33.36/9.25 | (205) elem(all_0_3_3, all_0_2_2) = 0
% 33.36/9.25 | (213) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (index(ldr, v2) = v3 & index(status, v2) = v4 & host(all_0_6_6) = v2 & host(all_0_7_7) = v1 & setIn(all_0_13_13, alive) = v0 & ( ~ (v4 = norm) | ~ (v3 = v1) | ~ (v2 = v1) | ~ (v0 = 0)))
% 33.36/9.25 |
% 33.36/9.25 | Instantiating (213) with all_48_0_43, all_48_1_44, all_48_2_45, all_48_3_46, all_48_4_47 yields:
% 33.36/9.25 | (214) index(ldr, all_48_2_45) = all_48_1_44 & index(status, all_48_2_45) = all_48_0_43 & host(all_0_6_6) = all_48_2_45 & host(all_0_7_7) = all_48_3_46 & setIn(all_0_13_13, alive) = all_48_4_47 & ( ~ (all_48_0_43 = norm) | ~ (all_48_1_44 = all_48_3_46) | ~ (all_48_2_45 = all_48_3_46) | ~ (all_48_4_47 = 0))
% 33.36/9.25 |
% 33.36/9.25 | Applying alpha-rule on (214) yields:
% 33.36/9.25 | (215) host(all_0_6_6) = all_48_2_45
% 33.36/9.25 | (216) setIn(all_0_13_13, alive) = all_48_4_47
% 33.36/9.25 | (217) index(status, all_48_2_45) = all_48_0_43
% 33.36/9.25 | (218) ~ (all_48_0_43 = norm) | ~ (all_48_1_44 = all_48_3_46) | ~ (all_48_2_45 = all_48_3_46) | ~ (all_48_4_47 = 0)
% 33.36/9.25 | (219) host(all_0_7_7) = all_48_3_46
% 33.36/9.25 | (220) index(ldr, all_48_2_45) = all_48_1_44
% 33.36/9.25 |
% 33.36/9.25 +-Applying beta-rule and splitting (174), into two cases.
% 33.36/9.25 |-Branch one:
% 33.36/9.25 | (210) ~ (elem(all_0_3_3, all_0_2_2) = 0)
% 33.36/9.25 |
% 33.36/9.25 | Using (205) and (210) yields:
% 33.36/9.25 | (211) $false
% 33.36/9.25 |
% 33.36/9.25 |-The branch is then unsatisfiable
% 33.36/9.25 |-Branch two:
% 33.36/9.25 | (205) elem(all_0_3_3, all_0_2_2) = 0
% 33.36/9.25 | (224) ? [v0] : ( ~ (v0 = all_0_12_12) & host(all_0_7_7) = v0)
% 33.36/9.25 |
% 33.36/9.25 | Instantiating (224) with all_66_0_48 yields:
% 33.36/9.25 | (225) ~ (all_66_0_48 = all_0_12_12) & host(all_0_7_7) = all_66_0_48
% 33.36/9.25 |
% 33.36/9.25 | Applying alpha-rule on (225) yields:
% 33.36/9.25 | (226) ~ (all_66_0_48 = all_0_12_12)
% 33.36/9.25 | (227) host(all_0_7_7) = all_66_0_48
% 33.36/9.25 |
% 33.36/9.25 +-Applying beta-rule and splitting (165), into two cases.
% 33.36/9.25 |-Branch one:
% 33.36/9.25 | (228) ~ (leq(nbr_proc, nbr_proc) = 0)
% 33.36/9.25 |
% 33.36/9.25 | Using (207) and (228) yields:
% 33.36/9.25 | (211) $false
% 33.36/9.25 |
% 33.36/9.25 |-The branch is then unsatisfiable
% 33.36/9.25 |-Branch two:
% 33.36/9.25 | (207) leq(nbr_proc, nbr_proc) = 0
% 33.36/9.25 | (231) ~ (s(all_0_5_5) = nbr_proc) | leq(all_0_5_5, all_0_5_5) = 0
% 33.36/9.25 |
% 33.36/9.25 +-Applying beta-rule and splitting (164), into two cases.
% 33.36/9.25 |-Branch one:
% 33.36/9.25 | (232) all_0_16_16 = nbr_proc
% 33.36/9.25 |
% 33.36/9.25 | From (232) and (143) follows:
% 33.36/9.25 | (233) index(pendack, all_0_19_19) = nbr_proc
% 33.36/9.25 |
% 33.36/9.25 | From (232) and (156) follows:
% 33.36/9.25 | (207) leq(nbr_proc, nbr_proc) = 0
% 33.36/9.25 |
% 33.36/9.25 +-Applying beta-rule and splitting (231), into two cases.
% 33.36/9.25 |-Branch one:
% 33.36/9.25 | (235) leq(all_0_5_5, all_0_5_5) = 0
% 33.36/9.25 |
% 33.36/9.25 +-Applying beta-rule and splitting (173), into two cases.
% 33.36/9.25 |-Branch one:
% 33.36/9.25 | (236) elem(all_0_0_0, all_0_2_2) = 0
% 33.36/9.25 |
% 33.36/9.25 +-Applying beta-rule and splitting (171), into two cases.
% 33.36/9.25 |-Branch one:
% 33.36/9.25 | (237) ~ (elem(all_0_0_0, all_0_2_2) = 0)
% 33.36/9.25 |
% 33.36/9.25 | Using (236) and (237) yields:
% 33.36/9.25 | (211) $false
% 33.36/9.25 |
% 33.36/9.25 |-The branch is then unsatisfiable
% 33.36/9.25 |-Branch two:
% 33.36/9.25 | (236) elem(all_0_0_0, all_0_2_2) = 0
% 33.36/9.25 | (240) setIn(all_0_6_6, pids) = 0 & setIn(all_0_8_8, pids) = 0
% 33.36/9.25 |
% 33.36/9.25 +-Applying beta-rule and splitting (170), into two cases.
% 33.36/9.25 |-Branch one:
% 33.36/9.25 | (228) ~ (leq(nbr_proc, nbr_proc) = 0)
% 33.36/9.25 |
% 33.36/9.25 | Using (207) and (228) yields:
% 33.36/9.25 | (211) $false
% 33.36/9.25 |
% 33.36/9.25 |-The branch is then unsatisfiable
% 33.36/9.25 |-Branch two:
% 33.36/9.25 | (207) leq(nbr_proc, nbr_proc) = 0
% 33.36/9.25 | (244) ~ (index(pendack, all_0_19_19) = nbr_proc) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (index(status, all_0_19_19) = v4 & index(status, all_0_19_19) = v3 & leq(all_0_19_19, all_0_19_19) = v0 & setIn(all_0_21_21, alive) = v2 & setIn(all_0_21_21, alive) = v1 & ( ~ (v4 = elec_2) | ~ (v3 = elec_2) | ~ (v2 = 0) | ~ (v1 = 0) | v0 = 0))
% 33.36/9.25 |
% 33.36/9.25 +-Applying beta-rule and splitting (172), into two cases.
% 33.36/9.25 |-Branch one:
% 33.36/9.25 | (237) ~ (elem(all_0_0_0, all_0_2_2) = 0)
% 33.36/9.25 |
% 33.36/9.25 | Using (236) and (237) yields:
% 33.36/9.25 | (211) $false
% 33.36/9.25 |
% 33.36/9.25 |-The branch is then unsatisfiable
% 33.36/9.25 |-Branch two:
% 33.36/9.25 | (236) elem(all_0_0_0, all_0_2_2) = 0
% 33.36/9.25 | (248) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = 0) & leq(v0, v1) = v2 & host(all_0_6_6) = v1 & host(all_0_8_8) = v0)
% 33.36/9.25 |
% 33.36/9.25 | Instantiating (248) with all_95_0_49, all_95_1_50, all_95_2_51 yields:
% 33.36/9.25 | (249) ~ (all_95_0_49 = 0) & leq(all_95_2_51, all_95_1_50) = all_95_0_49 & host(all_0_6_6) = all_95_1_50 & host(all_0_8_8) = all_95_2_51
% 33.36/9.25 |
% 33.36/9.25 | Applying alpha-rule on (249) yields:
% 33.36/9.25 | (250) ~ (all_95_0_49 = 0)
% 33.36/9.25 | (251) leq(all_95_2_51, all_95_1_50) = all_95_0_49
% 33.36/9.25 | (252) host(all_0_6_6) = all_95_1_50
% 33.36/9.25 | (253) host(all_0_8_8) = all_95_2_51
% 33.36/9.26 |
% 33.36/9.26 +-Applying beta-rule and splitting (244), into two cases.
% 33.36/9.26 |-Branch one:
% 33.36/9.26 | (254) ~ (index(pendack, all_0_19_19) = nbr_proc)
% 33.36/9.26 |
% 33.36/9.26 | Using (233) and (254) yields:
% 33.36/9.26 | (211) $false
% 33.36/9.26 |
% 33.36/9.26 |-The branch is then unsatisfiable
% 33.36/9.26 |-Branch two:
% 33.36/9.26 | (233) index(pendack, all_0_19_19) = nbr_proc
% 33.36/9.26 | (257) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (index(status, all_0_19_19) = v4 & index(status, all_0_19_19) = v3 & leq(all_0_19_19, all_0_19_19) = v0 & setIn(all_0_21_21, alive) = v2 & setIn(all_0_21_21, alive) = v1 & ( ~ (v4 = elec_2) | ~ (v3 = elec_2) | ~ (v2 = 0) | ~ (v1 = 0) | v0 = 0))
% 33.36/9.26 |
% 33.36/9.26 | Instantiating (257) with all_101_0_52, all_101_1_53, all_101_2_54, all_101_3_55, all_101_4_56 yields:
% 33.36/9.26 | (258) index(status, all_0_19_19) = all_101_0_52 & index(status, all_0_19_19) = all_101_1_53 & leq(all_0_19_19, all_0_19_19) = all_101_4_56 & setIn(all_0_21_21, alive) = all_101_2_54 & setIn(all_0_21_21, alive) = all_101_3_55 & ( ~ (all_101_0_52 = elec_2) | ~ (all_101_1_53 = elec_2) | ~ (all_101_2_54 = 0) | ~ (all_101_3_55 = 0) | all_101_4_56 = 0)
% 33.36/9.26 |
% 33.36/9.26 | Applying alpha-rule on (258) yields:
% 33.36/9.26 | (259) ~ (all_101_0_52 = elec_2) | ~ (all_101_1_53 = elec_2) | ~ (all_101_2_54 = 0) | ~ (all_101_3_55 = 0) | all_101_4_56 = 0
% 33.36/9.26 | (260) leq(all_0_19_19, all_0_19_19) = all_101_4_56
% 33.36/9.26 | (261) setIn(all_0_21_21, alive) = all_101_2_54
% 33.36/9.26 | (262) setIn(all_0_21_21, alive) = all_101_3_55
% 33.36/9.26 | (263) index(status, all_0_19_19) = all_101_1_53
% 33.36/9.26 | (264) index(status, all_0_19_19) = all_101_0_52
% 33.36/9.26 |
% 33.36/9.26 +-Applying beta-rule and splitting (176), into two cases.
% 33.36/9.26 |-Branch one:
% 33.36/9.26 | (210) ~ (elem(all_0_3_3, all_0_2_2) = 0)
% 33.36/9.26 |
% 33.36/9.26 | Using (205) and (210) yields:
% 33.36/9.26 | (211) $false
% 33.36/9.26 |
% 33.36/9.26 |-The branch is then unsatisfiable
% 33.36/9.26 |-Branch two:
% 33.36/9.26 | (205) elem(all_0_3_3, all_0_2_2) = 0
% 33.36/9.26 | (268) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (index(ldr, v2) = v3 & index(status, v2) = v4 & host(all_0_6_6) = v2 & host(all_0_7_7) = v1 & setIn(all_0_6_6, alive) = v0 & ( ~ (v4 = norm) | ~ (v3 = v1) | ~ (v2 = v1) | ~ (v0 = 0)))
% 33.36/9.26 |
% 33.36/9.26 | Instantiating (268) with all_106_0_57, all_106_1_58, all_106_2_59, all_106_3_60, all_106_4_61 yields:
% 33.36/9.26 | (269) index(ldr, all_106_2_59) = all_106_1_58 & index(status, all_106_2_59) = all_106_0_57 & host(all_0_6_6) = all_106_2_59 & host(all_0_7_7) = all_106_3_60 & setIn(all_0_6_6, alive) = all_106_4_61 & ( ~ (all_106_0_57 = norm) | ~ (all_106_1_58 = all_106_3_60) | ~ (all_106_2_59 = all_106_3_60) | ~ (all_106_4_61 = 0))
% 33.36/9.26 |
% 33.36/9.26 | Applying alpha-rule on (269) yields:
% 33.36/9.26 | (270) index(status, all_106_2_59) = all_106_0_57
% 33.36/9.26 | (271) host(all_0_7_7) = all_106_3_60
% 33.36/9.26 | (272) setIn(all_0_6_6, alive) = all_106_4_61
% 33.36/9.26 | (273) host(all_0_6_6) = all_106_2_59
% 33.36/9.26 | (274) ~ (all_106_0_57 = norm) | ~ (all_106_1_58 = all_106_3_60) | ~ (all_106_2_59 = all_106_3_60) | ~ (all_106_4_61 = 0)
% 33.36/9.26 | (275) index(ldr, all_106_2_59) = all_106_1_58
% 33.36/9.26 |
% 33.36/9.26 +-Applying beta-rule and splitting (183), into two cases.
% 33.36/9.26 |-Branch one:
% 33.36/9.26 | (210) ~ (elem(all_0_3_3, all_0_2_2) = 0)
% 33.36/9.26 |
% 33.36/9.26 | Using (205) and (210) yields:
% 33.36/9.26 | (211) $false
% 33.36/9.26 |
% 33.36/9.26 |-The branch is then unsatisfiable
% 33.36/9.26 |-Branch two:
% 33.36/9.26 | (205) elem(all_0_3_3, all_0_2_2) = 0
% 33.36/9.26 | (279) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (index(ldr, v2) = v3 & index(status, v2) = v4 & host(all_0_7_7) = v1 & host(all_0_21_21) = v2 & setIn(all_0_6_6, alive) = v0 & ( ~ (v4 = norm) | ~ (v3 = v1) | ~ (v2 = v1) | ~ (v0 = 0)))
% 33.36/9.26 |
% 33.36/9.26 | Instantiating (279) with all_111_0_62, all_111_1_63, all_111_2_64, all_111_3_65, all_111_4_66 yields:
% 33.36/9.26 | (280) index(ldr, all_111_2_64) = all_111_1_63 & index(status, all_111_2_64) = all_111_0_62 & host(all_0_7_7) = all_111_3_65 & host(all_0_21_21) = all_111_2_64 & setIn(all_0_6_6, alive) = all_111_4_66 & ( ~ (all_111_0_62 = norm) | ~ (all_111_1_63 = all_111_3_65) | ~ (all_111_2_64 = all_111_3_65) | ~ (all_111_4_66 = 0))
% 33.36/9.26 |
% 33.36/9.26 | Applying alpha-rule on (280) yields:
% 33.36/9.26 | (281) index(status, all_111_2_64) = all_111_0_62
% 33.36/9.26 | (282) index(ldr, all_111_2_64) = all_111_1_63
% 33.36/9.26 | (283) host(all_0_21_21) = all_111_2_64
% 33.36/9.26 | (284) ~ (all_111_0_62 = norm) | ~ (all_111_1_63 = all_111_3_65) | ~ (all_111_2_64 = all_111_3_65) | ~ (all_111_4_66 = 0)
% 33.36/9.26 | (285) host(all_0_7_7) = all_111_3_65
% 33.36/9.26 | (286) setIn(all_0_6_6, alive) = all_111_4_66
% 33.36/9.26 |
% 33.36/9.26 +-Applying beta-rule and splitting (180), into two cases.
% 33.36/9.26 |-Branch one:
% 33.36/9.26 | (210) ~ (elem(all_0_3_3, all_0_2_2) = 0)
% 33.36/9.26 |
% 33.36/9.26 | Using (205) and (210) yields:
% 33.36/9.26 | (211) $false
% 33.36/9.26 |
% 33.36/9.26 |-The branch is then unsatisfiable
% 33.36/9.26 |-Branch two:
% 33.36/9.26 | (205) elem(all_0_3_3, all_0_2_2) = 0
% 33.36/9.26 | (290) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (index(ldr, v2) = v3 & index(status, v2) = v4 & host(all_0_7_7) = v1 & host(all_0_10_10) = v2 & setIn(all_0_6_6, alive) = v0 & ( ~ (v4 = norm) | ~ (v3 = v1) | ~ (v2 = v1) | ~ (v0 = 0)))
% 33.36/9.26 |
% 33.36/9.26 | Instantiating (290) with all_116_0_67, all_116_1_68, all_116_2_69, all_116_3_70, all_116_4_71 yields:
% 33.36/9.26 | (291) index(ldr, all_116_2_69) = all_116_1_68 & index(status, all_116_2_69) = all_116_0_67 & host(all_0_7_7) = all_116_3_70 & host(all_0_10_10) = all_116_2_69 & setIn(all_0_6_6, alive) = all_116_4_71 & ( ~ (all_116_0_67 = norm) | ~ (all_116_1_68 = all_116_3_70) | ~ (all_116_2_69 = all_116_3_70) | ~ (all_116_4_71 = 0))
% 33.36/9.26 |
% 33.36/9.26 | Applying alpha-rule on (291) yields:
% 33.36/9.26 | (292) index(status, all_116_2_69) = all_116_0_67
% 33.36/9.26 | (293) setIn(all_0_6_6, alive) = all_116_4_71
% 33.36/9.26 | (294) ~ (all_116_0_67 = norm) | ~ (all_116_1_68 = all_116_3_70) | ~ (all_116_2_69 = all_116_3_70) | ~ (all_116_4_71 = 0)
% 33.36/9.26 | (295) index(ldr, all_116_2_69) = all_116_1_68
% 33.36/9.26 | (296) host(all_0_10_10) = all_116_2_69
% 33.36/9.26 | (297) host(all_0_7_7) = all_116_3_70
% 33.36/9.26 |
% 33.36/9.26 +-Applying beta-rule and splitting (181), into two cases.
% 33.36/9.26 |-Branch one:
% 33.36/9.26 | (210) ~ (elem(all_0_3_3, all_0_2_2) = 0)
% 33.36/9.26 |
% 33.36/9.26 | Using (205) and (210) yields:
% 33.36/9.26 | (211) $false
% 33.36/9.26 |
% 33.36/9.26 |-The branch is then unsatisfiable
% 33.36/9.26 |-Branch two:
% 33.36/9.26 | (205) elem(all_0_3_3, all_0_2_2) = 0
% 33.36/9.26 | (301) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (index(ldr, v2) = v3 & index(status, v2) = v4 & host(all_0_7_7) = v1 & host(all_0_10_10) = v2 & setIn(all_0_13_13, alive) = v0 & ( ~ (v4 = norm) | ~ (v3 = v1) | ~ (v2 = v1) | ~ (v0 = 0)))
% 33.36/9.26 |
% 33.36/9.26 | Instantiating (301) with all_121_0_72, all_121_1_73, all_121_2_74, all_121_3_75, all_121_4_76 yields:
% 33.36/9.26 | (302) index(ldr, all_121_2_74) = all_121_1_73 & index(status, all_121_2_74) = all_121_0_72 & host(all_0_7_7) = all_121_3_75 & host(all_0_10_10) = all_121_2_74 & setIn(all_0_13_13, alive) = all_121_4_76 & ( ~ (all_121_0_72 = norm) | ~ (all_121_1_73 = all_121_3_75) | ~ (all_121_2_74 = all_121_3_75) | ~ (all_121_4_76 = 0))
% 33.36/9.26 |
% 33.36/9.26 | Applying alpha-rule on (302) yields:
% 33.36/9.26 | (303) host(all_0_10_10) = all_121_2_74
% 33.36/9.26 | (304) index(status, all_121_2_74) = all_121_0_72
% 33.36/9.26 | (305) setIn(all_0_13_13, alive) = all_121_4_76
% 33.36/9.26 | (306) index(ldr, all_121_2_74) = all_121_1_73
% 33.36/9.26 | (307) ~ (all_121_0_72 = norm) | ~ (all_121_1_73 = all_121_3_75) | ~ (all_121_2_74 = all_121_3_75) | ~ (all_121_4_76 = 0)
% 33.36/9.26 | (308) host(all_0_7_7) = all_121_3_75
% 33.36/9.26 |
% 33.36/9.26 +-Applying beta-rule and splitting (184), into two cases.
% 33.36/9.26 |-Branch one:
% 33.36/9.26 | (210) ~ (elem(all_0_3_3, all_0_2_2) = 0)
% 33.36/9.26 |
% 33.36/9.26 | Using (205) and (210) yields:
% 33.36/9.26 | (211) $false
% 33.36/9.26 |
% 33.36/9.26 |-The branch is then unsatisfiable
% 33.36/9.26 |-Branch two:
% 33.36/9.26 | (205) elem(all_0_3_3, all_0_2_2) = 0
% 33.36/9.26 | (312) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (index(ldr, v2) = v3 & index(status, v2) = v4 & host(all_0_7_7) = v1 & host(all_0_21_21) = v2 & setIn(all_0_13_13, alive) = v0 & ( ~ (v4 = norm) | ~ (v3 = v1) | ~ (v2 = v1) | ~ (v0 = 0)))
% 33.36/9.27 |
% 33.36/9.27 | Instantiating (312) with all_126_0_77, all_126_1_78, all_126_2_79, all_126_3_80, all_126_4_81 yields:
% 33.36/9.27 | (313) index(ldr, all_126_2_79) = all_126_1_78 & index(status, all_126_2_79) = all_126_0_77 & host(all_0_7_7) = all_126_3_80 & host(all_0_21_21) = all_126_2_79 & setIn(all_0_13_13, alive) = all_126_4_81 & ( ~ (all_126_0_77 = norm) | ~ (all_126_1_78 = all_126_3_80) | ~ (all_126_2_79 = all_126_3_80) | ~ (all_126_4_81 = 0))
% 33.36/9.27 |
% 33.36/9.27 | Applying alpha-rule on (313) yields:
% 33.36/9.27 | (314) index(status, all_126_2_79) = all_126_0_77
% 33.36/9.27 | (315) host(all_0_21_21) = all_126_2_79
% 33.36/9.27 | (316) index(ldr, all_126_2_79) = all_126_1_78
% 33.36/9.27 | (317) setIn(all_0_13_13, alive) = all_126_4_81
% 33.36/9.27 | (318) host(all_0_7_7) = all_126_3_80
% 33.36/9.27 | (319) ~ (all_126_0_77 = norm) | ~ (all_126_1_78 = all_126_3_80) | ~ (all_126_2_79 = all_126_3_80) | ~ (all_126_4_81 = 0)
% 33.36/9.27 |
% 33.36/9.27 +-Applying beta-rule and splitting (178), into two cases.
% 33.36/9.27 |-Branch one:
% 33.36/9.27 | (237) ~ (elem(all_0_0_0, all_0_2_2) = 0)
% 33.36/9.27 |
% 33.36/9.27 | Using (236) and (237) yields:
% 33.36/9.27 | (211) $false
% 33.36/9.27 |
% 33.36/9.27 |-The branch is then unsatisfiable
% 33.36/9.27 |-Branch two:
% 33.36/9.27 | (236) elem(all_0_0_0, all_0_2_2) = 0
% 33.36/9.27 | (323) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (index(status, v1) = v4 & index(status, all_0_12_12) = v3 & host(all_0_6_6) = v1 & host(all_0_8_8) = v2 & setIn(all_0_6_6, alive) = v0 & ( ~ (v4 = elec_2) | ~ (v3 = elec_2) | ~ (v2 = v1) | ~ (v0 = 0)))
% 33.36/9.27 |
% 33.36/9.27 | Instantiating (323) with all_131_0_82, all_131_1_83, all_131_2_84, all_131_3_85, all_131_4_86 yields:
% 33.36/9.27 | (324) index(status, all_131_3_85) = all_131_0_82 & index(status, all_0_12_12) = all_131_1_83 & host(all_0_6_6) = all_131_3_85 & host(all_0_8_8) = all_131_2_84 & setIn(all_0_6_6, alive) = all_131_4_86 & ( ~ (all_131_0_82 = elec_2) | ~ (all_131_1_83 = elec_2) | ~ (all_131_2_84 = all_131_3_85) | ~ (all_131_4_86 = 0))
% 33.36/9.27 |
% 33.36/9.27 | Applying alpha-rule on (324) yields:
% 33.36/9.27 | (325) host(all_0_6_6) = all_131_3_85
% 33.36/9.27 | (326) setIn(all_0_6_6, alive) = all_131_4_86
% 33.36/9.27 | (327) ~ (all_131_0_82 = elec_2) | ~ (all_131_1_83 = elec_2) | ~ (all_131_2_84 = all_131_3_85) | ~ (all_131_4_86 = 0)
% 33.36/9.27 | (328) index(status, all_131_3_85) = all_131_0_82
% 33.36/9.27 | (329) index(status, all_0_12_12) = all_131_1_83
% 33.36/9.27 | (330) host(all_0_8_8) = all_131_2_84
% 33.36/9.27 |
% 33.36/9.27 | Instantiating formula (29) with ldr, all_0_9_9, all_116_1_68, all_0_9_9 and discharging atoms index(ldr, all_0_9_9) = all_0_9_9, yields:
% 33.36/9.27 | (331) all_116_1_68 = all_0_9_9 | ~ (index(ldr, all_0_9_9) = all_116_1_68)
% 33.36/9.27 |
% 33.36/9.27 | Instantiating formula (29) with ldr, all_116_2_69, all_116_1_68, all_121_1_73 and discharging atoms index(ldr, all_116_2_69) = all_116_1_68, yields:
% 33.36/9.27 | (332) all_121_1_73 = all_116_1_68 | ~ (index(ldr, all_116_2_69) = all_121_1_73)
% 33.36/9.27 |
% 33.36/9.27 | Instantiating formula (29) with elid, all_0_19_19, all_25_0_31, all_0_22_22 and discharging atoms index(elid, all_0_19_19) = all_0_22_22, yields:
% 33.36/9.27 | (333) all_25_0_31 = all_0_22_22 | ~ (index(elid, all_0_19_19) = all_25_0_31)
% 33.36/9.27 |
% 33.36/9.27 | Instantiating formula (29) with status, all_0_9_9, all_121_0_72, norm and discharging atoms index(status, all_0_9_9) = norm, yields:
% 33.36/9.27 | (334) all_121_0_72 = norm | ~ (index(status, all_0_9_9) = all_121_0_72)
% 33.36/9.27 |
% 33.36/9.27 | Instantiating formula (29) with status, all_116_2_69, all_116_0_67, all_121_0_72 and discharging atoms index(status, all_116_2_69) = all_116_0_67, yields:
% 33.36/9.27 | (335) all_121_0_72 = all_116_0_67 | ~ (index(status, all_116_2_69) = all_121_0_72)
% 33.36/9.27 |
% 33.36/9.27 | Instantiating formula (29) with status, all_0_12_12, all_106_0_57, elec_2 and discharging atoms index(status, all_0_12_12) = elec_2, yields:
% 33.36/9.27 | (336) all_106_0_57 = elec_2 | ~ (index(status, all_0_12_12) = all_106_0_57)
% 33.36/9.27 |
% 33.36/9.27 | Instantiating formula (29) with status, all_27_2_36, all_27_1_35, all_116_0_67 and discharging atoms index(status, all_27_2_36) = all_27_1_35, yields:
% 33.36/9.27 | (337) all_116_0_67 = all_27_1_35 | ~ (index(status, all_27_2_36) = all_116_0_67)
% 33.36/9.27 |
% 33.36/9.27 | Instantiating formula (29) with status, all_0_19_19, all_101_0_52, elec_2 and discharging atoms index(status, all_0_19_19) = all_101_0_52, index(status, all_0_19_19) = elec_2, yields:
% 33.36/9.27 | (338) all_101_0_52 = elec_2
% 33.36/9.27 |
% 33.36/9.27 | Instantiating formula (29) with status, all_0_19_19, all_101_0_52, all_25_1_32 and discharging atoms index(status, all_0_19_19) = all_101_0_52, yields:
% 33.36/9.27 | (339) all_101_0_52 = all_25_1_32 | ~ (index(status, all_0_19_19) = all_25_1_32)
% 33.36/9.27 |
% 33.36/9.27 | Instantiating formula (29) with status, all_0_19_19, all_101_1_53, all_101_0_52 and discharging atoms index(status, all_0_19_19) = all_101_0_52, index(status, all_0_19_19) = all_101_1_53, yields:
% 33.36/9.27 | (340) all_101_0_52 = all_101_1_53
% 33.36/9.27 |
% 33.36/9.27 | Instantiating formula (102) with all_0_5_5, nbr_proc, all_19_0_27 and discharging atoms s(all_0_5_5) = all_19_0_27, s(all_0_5_5) = nbr_proc, yields:
% 33.36/9.27 | (341) all_19_0_27 = nbr_proc
% 33.36/9.27 |
% 33.36/9.27 | Instantiating formula (39) with all_106_2_59, all_131_3_85, all_0_6_6 and discharging atoms host(all_0_6_6) = all_131_3_85, host(all_0_6_6) = all_106_2_59, yields:
% 33.36/9.27 | (342) all_131_3_85 = all_106_2_59
% 33.36/9.27 |
% 33.36/9.27 | Instantiating formula (39) with all_95_1_50, all_0_12_12, all_0_6_6 and discharging atoms host(all_0_6_6) = all_95_1_50, host(all_0_6_6) = all_0_12_12, yields:
% 33.36/9.27 | (343) all_95_1_50 = all_0_12_12
% 33.36/9.27 |
% 33.36/9.27 | Instantiating formula (39) with all_95_1_50, all_106_2_59, all_0_6_6 and discharging atoms host(all_0_6_6) = all_106_2_59, host(all_0_6_6) = all_95_1_50, yields:
% 33.36/9.27 | (344) all_106_2_59 = all_95_1_50
% 33.36/9.27 |
% 33.36/9.27 | Instantiating formula (39) with all_48_2_45, all_131_3_85, all_0_6_6 and discharging atoms host(all_0_6_6) = all_131_3_85, host(all_0_6_6) = all_48_2_45, yields:
% 33.36/9.27 | (345) all_131_3_85 = all_48_2_45
% 33.36/9.27 |
% 33.36/9.27 | Instantiating formula (39) with all_33_2_41, all_106_2_59, all_0_6_6 and discharging atoms host(all_0_6_6) = all_106_2_59, host(all_0_6_6) = all_33_2_41, yields:
% 33.36/9.27 | (346) all_106_2_59 = all_33_2_41
% 33.36/9.27 |
% 33.36/9.27 | Instantiating formula (39) with all_116_3_70, all_126_3_80, all_0_7_7 and discharging atoms host(all_0_7_7) = all_126_3_80, host(all_0_7_7) = all_116_3_70, yields:
% 33.36/9.27 | (347) all_126_3_80 = all_116_3_70
% 33.36/9.27 |
% 33.36/9.27 | Instantiating formula (39) with all_116_3_70, all_121_3_75, all_0_7_7 and discharging atoms host(all_0_7_7) = all_121_3_75, host(all_0_7_7) = all_116_3_70, yields:
% 33.36/9.27 | (348) all_121_3_75 = all_116_3_70
% 33.36/9.27 |
% 33.36/9.27 | Instantiating formula (39) with all_111_3_65, all_116_3_70, all_0_7_7 and discharging atoms host(all_0_7_7) = all_116_3_70, host(all_0_7_7) = all_111_3_65, yields:
% 33.36/9.27 | (349) all_116_3_70 = all_111_3_65
% 33.36/9.27 |
% 33.36/9.27 | Instantiating formula (39) with all_106_3_60, all_126_3_80, all_0_7_7 and discharging atoms host(all_0_7_7) = all_126_3_80, host(all_0_7_7) = all_106_3_60, yields:
% 33.36/9.27 | (350) all_126_3_80 = all_106_3_60
% 33.36/9.27 |
% 33.36/9.27 | Instantiating formula (39) with all_66_0_48, all_121_3_75, all_0_7_7 and discharging atoms host(all_0_7_7) = all_121_3_75, host(all_0_7_7) = all_66_0_48, yields:
% 33.36/9.27 | (351) all_121_3_75 = all_66_0_48
% 33.36/9.27 |
% 33.36/9.27 | Instantiating formula (39) with all_48_3_46, all_111_3_65, all_0_7_7 and discharging atoms host(all_0_7_7) = all_111_3_65, host(all_0_7_7) = all_48_3_46, yields:
% 33.36/9.27 | (352) all_111_3_65 = all_48_3_46
% 33.36/9.27 |
% 33.36/9.27 | Instantiating formula (39) with nbr_proc, all_121_3_75, all_0_7_7 and discharging atoms host(all_0_7_7) = all_121_3_75, host(all_0_7_7) = nbr_proc, yields:
% 33.36/9.27 | (353) all_121_3_75 = nbr_proc
% 33.36/9.27 |
% 33.36/9.27 | Instantiating formula (39) with all_131_2_84, all_0_5_5, all_0_8_8 and discharging atoms host(all_0_8_8) = all_131_2_84, host(all_0_8_8) = all_0_5_5, yields:
% 33.36/9.27 | (354) all_131_2_84 = all_0_5_5
% 33.36/9.27 |
% 33.36/9.27 | Instantiating formula (39) with all_95_2_51, all_131_2_84, all_0_8_8 and discharging atoms host(all_0_8_8) = all_131_2_84, host(all_0_8_8) = all_95_2_51, yields:
% 33.36/9.27 | (355) all_131_2_84 = all_95_2_51
% 33.36/9.27 |
% 33.36/9.27 | Instantiating formula (39) with all_121_2_74, all_0_9_9, all_0_10_10 and discharging atoms host(all_0_10_10) = all_121_2_74, host(all_0_10_10) = all_0_9_9, yields:
% 33.36/9.27 | (356) all_121_2_74 = all_0_9_9
% 33.36/9.27 |
% 33.36/9.27 | Instantiating formula (39) with all_116_2_69, all_121_2_74, all_0_10_10 and discharging atoms host(all_0_10_10) = all_121_2_74, host(all_0_10_10) = all_116_2_69, yields:
% 33.36/9.27 | (357) all_121_2_74 = all_116_2_69
% 33.36/9.27 |
% 33.36/9.27 | Instantiating formula (39) with all_27_2_36, all_116_2_69, all_0_10_10 and discharging atoms host(all_0_10_10) = all_116_2_69, host(all_0_10_10) = all_27_2_36, yields:
% 33.36/9.27 | (358) all_116_2_69 = all_27_2_36
% 33.36/9.27 |
% 33.36/9.27 | Instantiating formula (39) with all_111_2_64, all_0_19_19, all_0_21_21 and discharging atoms host(all_0_21_21) = all_111_2_64, host(all_0_21_21) = all_0_19_19, yields:
% 33.36/9.27 | (359) all_111_2_64 = all_0_19_19
% 33.36/9.27 |
% 33.36/9.27 | Instantiating formula (39) with all_111_2_64, all_126_2_79, all_0_21_21 and discharging atoms host(all_0_21_21) = all_126_2_79, host(all_0_21_21) = all_111_2_64, yields:
% 33.36/9.27 | (360) all_126_2_79 = all_111_2_64
% 33.36/9.27 |
% 33.36/9.27 | Instantiating formula (39) with all_25_2_33, all_126_2_79, all_0_21_21 and discharging atoms host(all_0_21_21) = all_126_2_79, host(all_0_21_21) = all_25_2_33, yields:
% 33.36/9.28 | (361) all_126_2_79 = all_25_2_33
% 33.36/9.28 |
% 33.36/9.28 | Instantiating formula (26) with all_0_6_6, alive, all_116_4_71, all_131_4_86 and discharging atoms setIn(all_0_6_6, alive) = all_131_4_86, setIn(all_0_6_6, alive) = all_116_4_71, yields:
% 33.36/9.28 | (362) all_131_4_86 = all_116_4_71
% 33.36/9.28 |
% 33.36/9.28 | Instantiating formula (26) with all_0_6_6, alive, all_111_4_66, 0 and discharging atoms setIn(all_0_6_6, alive) = all_111_4_66, setIn(all_0_6_6, alive) = 0, yields:
% 33.36/9.28 | (363) all_111_4_66 = 0
% 33.36/9.28 |
% 33.36/9.28 | Instantiating formula (26) with all_0_6_6, alive, all_111_4_66, all_131_4_86 and discharging atoms setIn(all_0_6_6, alive) = all_131_4_86, setIn(all_0_6_6, alive) = all_111_4_66, yields:
% 33.36/9.28 | (364) all_131_4_86 = all_111_4_66
% 33.36/9.28 |
% 33.36/9.28 | Instantiating formula (26) with all_0_6_6, alive, all_106_4_61, all_131_4_86 and discharging atoms setIn(all_0_6_6, alive) = all_131_4_86, setIn(all_0_6_6, alive) = all_106_4_61, yields:
% 33.36/9.28 | (365) all_131_4_86 = all_106_4_61
% 33.36/9.28 |
% 33.36/9.28 | Combining equations (354,355) yields a new equation:
% 33.36/9.28 | (366) all_95_2_51 = all_0_5_5
% 33.36/9.28 |
% 33.36/9.28 | Combining equations (342,345) yields a new equation:
% 33.36/9.28 | (367) all_106_2_59 = all_48_2_45
% 33.36/9.28 |
% 33.36/9.28 | Simplifying 367 yields:
% 33.36/9.28 | (368) all_106_2_59 = all_48_2_45
% 33.36/9.28 |
% 33.36/9.28 | Combining equations (365,362) yields a new equation:
% 33.36/9.28 | (369) all_116_4_71 = all_106_4_61
% 33.36/9.28 |
% 33.36/9.28 | Combining equations (364,362) yields a new equation:
% 33.36/9.28 | (370) all_116_4_71 = all_111_4_66
% 33.36/9.28 |
% 33.36/9.28 | Combining equations (360,361) yields a new equation:
% 33.36/9.28 | (371) all_111_2_64 = all_25_2_33
% 33.36/9.28 |
% 33.36/9.28 | Simplifying 371 yields:
% 33.36/9.28 | (372) all_111_2_64 = all_25_2_33
% 33.36/9.28 |
% 33.36/9.28 | Combining equations (347,350) yields a new equation:
% 33.36/9.28 | (373) all_116_3_70 = all_106_3_60
% 33.36/9.28 |
% 33.36/9.28 | Simplifying 373 yields:
% 33.36/9.28 | (374) all_116_3_70 = all_106_3_60
% 33.36/9.28 |
% 33.36/9.28 | Combining equations (357,356) yields a new equation:
% 33.36/9.28 | (375) all_116_2_69 = all_0_9_9
% 33.36/9.28 |
% 33.36/9.28 | Simplifying 375 yields:
% 33.36/9.28 | (376) all_116_2_69 = all_0_9_9
% 33.36/9.28 |
% 33.36/9.28 | Combining equations (348,351) yields a new equation:
% 33.36/9.28 | (377) all_116_3_70 = all_66_0_48
% 33.36/9.28 |
% 33.36/9.28 | Simplifying 377 yields:
% 33.36/9.28 | (378) all_116_3_70 = all_66_0_48
% 33.36/9.28 |
% 33.36/9.28 | Combining equations (353,351) yields a new equation:
% 33.36/9.28 | (379) all_66_0_48 = nbr_proc
% 33.36/9.28 |
% 33.36/9.28 | Combining equations (358,376) yields a new equation:
% 33.36/9.28 | (380) all_27_2_36 = all_0_9_9
% 33.36/9.28 |
% 33.36/9.28 | Simplifying 380 yields:
% 33.36/9.28 | (381) all_27_2_36 = all_0_9_9
% 33.36/9.28 |
% 33.36/9.28 | Combining equations (349,374) yields a new equation:
% 33.36/9.28 | (382) all_111_3_65 = all_106_3_60
% 33.36/9.28 |
% 33.36/9.28 | Simplifying 382 yields:
% 33.36/9.28 | (383) all_111_3_65 = all_106_3_60
% 33.36/9.28 |
% 33.36/9.28 | Combining equations (378,374) yields a new equation:
% 33.36/9.28 | (384) all_106_3_60 = all_66_0_48
% 33.36/9.28 |
% 33.36/9.28 | Combining equations (370,369) yields a new equation:
% 33.36/9.28 | (385) all_111_4_66 = all_106_4_61
% 33.36/9.28 |
% 33.36/9.28 | Simplifying 385 yields:
% 33.36/9.28 | (386) all_111_4_66 = all_106_4_61
% 33.36/9.28 |
% 33.36/9.28 | Combining equations (359,372) yields a new equation:
% 33.36/9.28 | (387) all_25_2_33 = all_0_19_19
% 33.36/9.28 |
% 33.36/9.28 | Combining equations (383,352) yields a new equation:
% 33.36/9.28 | (388) all_106_3_60 = all_48_3_46
% 33.36/9.28 |
% 33.36/9.28 | Simplifying 388 yields:
% 33.36/9.28 | (389) all_106_3_60 = all_48_3_46
% 33.36/9.28 |
% 33.36/9.28 | Combining equations (363,386) yields a new equation:
% 33.36/9.28 | (390) all_106_4_61 = 0
% 33.36/9.28 |
% 33.36/9.28 | Combining equations (344,368) yields a new equation:
% 33.36/9.28 | (391) all_95_1_50 = all_48_2_45
% 33.36/9.28 |
% 33.36/9.28 | Simplifying 391 yields:
% 33.36/9.28 | (392) all_95_1_50 = all_48_2_45
% 33.36/9.28 |
% 33.36/9.28 | Combining equations (346,368) yields a new equation:
% 33.36/9.28 | (393) all_48_2_45 = all_33_2_41
% 33.36/9.28 |
% 33.36/9.28 | Combining equations (384,389) yields a new equation:
% 33.36/9.28 | (394) all_66_0_48 = all_48_3_46
% 33.36/9.28 |
% 33.36/9.28 | Simplifying 394 yields:
% 33.36/9.28 | (395) all_66_0_48 = all_48_3_46
% 33.36/9.28 |
% 33.36/9.28 | Combining equations (338,340) yields a new equation:
% 33.36/9.28 | (396) all_101_1_53 = elec_2
% 33.36/9.28 |
% 33.36/9.28 | Combining equations (392,343) yields a new equation:
% 33.36/9.28 | (397) all_48_2_45 = all_0_12_12
% 33.36/9.28 |
% 33.36/9.28 | Simplifying 397 yields:
% 33.36/9.28 | (398) all_48_2_45 = all_0_12_12
% 33.36/9.28 |
% 33.36/9.28 | Combining equations (379,395) yields a new equation:
% 33.36/9.28 | (399) all_48_3_46 = nbr_proc
% 33.36/9.28 |
% 33.36/9.28 | Combining equations (398,393) yields a new equation:
% 33.36/9.28 | (400) all_33_2_41 = all_0_12_12
% 33.36/9.28 |
% 33.36/9.28 | Combining equations (400,393) yields a new equation:
% 33.36/9.28 | (398) all_48_2_45 = all_0_12_12
% 33.36/9.28 |
% 33.36/9.28 | Combining equations (396,340) yields a new equation:
% 33.36/9.28 | (338) all_101_0_52 = elec_2
% 33.36/9.28 |
% 33.36/9.28 | Combining equations (398,368) yields a new equation:
% 33.36/9.28 | (403) all_106_2_59 = all_0_12_12
% 33.36/9.28 |
% 33.36/9.28 | From (356) and (306) follows:
% 33.36/9.28 | (404) index(ldr, all_0_9_9) = all_121_1_73
% 33.36/9.28 |
% 33.36/9.28 | From (387) and (191) follows:
% 33.36/9.28 | (405) index(elid, all_0_19_19) = all_25_0_31
% 33.36/9.28 |
% 33.36/9.28 | From (356) and (304) follows:
% 33.36/9.28 | (406) index(status, all_0_9_9) = all_121_0_72
% 33.36/9.28 |
% 33.36/9.28 | From (403) and (270) follows:
% 33.36/9.28 | (407) index(status, all_0_12_12) = all_106_0_57
% 33.36/9.28 |
% 33.36/9.28 | From (381) and (197) follows:
% 33.36/9.28 | (408) index(status, all_0_9_9) = all_27_1_35
% 33.36/9.28 |
% 33.36/9.28 | From (387) and (192) follows:
% 33.36/9.28 | (409) index(status, all_0_19_19) = all_25_1_32
% 33.36/9.28 |
% 33.36/9.28 | From (341) and (189) follows:
% 33.36/9.28 | (208) s(all_0_5_5) = nbr_proc
% 33.36/9.28 |
% 33.36/9.28 | From (400) and (203) follows:
% 33.36/9.28 | (144) host(all_0_6_6) = all_0_12_12
% 33.36/9.28 |
% 33.36/9.28 | From (399) and (219) follows:
% 33.36/9.28 | (209) host(all_0_7_7) = nbr_proc
% 33.36/9.28 |
% 33.36/9.28 | From (366) and (253) follows:
% 33.36/9.28 | (47) host(all_0_8_8) = all_0_5_5
% 33.36/9.28 |
% 33.36/9.28 | From (381) and (198) follows:
% 33.36/9.28 | (105) host(all_0_10_10) = all_0_9_9
% 33.36/9.28 |
% 33.36/9.28 | From (387) and (193) follows:
% 33.36/9.28 | (62) host(all_0_21_21) = all_0_19_19
% 33.36/9.28 |
% 33.36/9.28 | From (390) and (272) follows:
% 33.36/9.28 | (10) setIn(all_0_6_6, alive) = 0
% 33.36/9.28 |
% 33.36/9.28 +-Applying beta-rule and splitting (339), into two cases.
% 33.36/9.28 |-Branch one:
% 33.36/9.28 | (417) ~ (index(status, all_0_19_19) = all_25_1_32)
% 33.36/9.28 |
% 33.36/9.28 | Using (409) and (417) yields:
% 33.36/9.28 | (211) $false
% 33.36/9.28 |
% 33.36/9.28 |-The branch is then unsatisfiable
% 33.36/9.28 |-Branch two:
% 33.36/9.28 | (409) index(status, all_0_19_19) = all_25_1_32
% 33.36/9.28 | (420) all_101_0_52 = all_25_1_32
% 33.36/9.28 |
% 33.36/9.28 | Combining equations (338,420) yields a new equation:
% 33.36/9.28 | (421) all_25_1_32 = elec_2
% 33.36/9.28 |
% 33.36/9.28 +-Applying beta-rule and splitting (194), into two cases.
% 33.36/9.28 |-Branch one:
% 33.36/9.28 | (422) all_25_0_31 = all_0_21_21
% 33.36/9.28 |
% 33.36/9.28 | From (422) and (405) follows:
% 33.36/9.28 | (423) index(elid, all_0_19_19) = all_0_21_21
% 33.36/9.28 |
% 33.36/9.28 +-Applying beta-rule and splitting (336), into two cases.
% 33.36/9.28 |-Branch one:
% 33.36/9.28 | (424) ~ (index(status, all_0_12_12) = all_106_0_57)
% 33.36/9.28 |
% 33.36/9.28 | Using (407) and (424) yields:
% 33.36/9.28 | (211) $false
% 33.36/9.28 |
% 33.36/9.28 |-The branch is then unsatisfiable
% 33.36/9.28 |-Branch two:
% 33.36/9.28 | (407) index(status, all_0_12_12) = all_106_0_57
% 33.36/9.28 | (427) all_106_0_57 = elec_2
% 33.36/9.28 |
% 33.36/9.28 | From (427) and (407) follows:
% 33.36/9.29 | (148) index(status, all_0_12_12) = elec_2
% 33.36/9.29 |
% 33.36/9.29 +-Applying beta-rule and splitting (335), into two cases.
% 33.36/9.29 |-Branch one:
% 33.36/9.29 | (429) ~ (index(status, all_116_2_69) = all_121_0_72)
% 33.36/9.29 |
% 33.36/9.29 | From (376) and (429) follows:
% 33.36/9.29 | (430) ~ (index(status, all_0_9_9) = all_121_0_72)
% 33.36/9.29 |
% 33.36/9.29 | Using (406) and (430) yields:
% 33.36/9.29 | (211) $false
% 33.36/9.29 |
% 33.36/9.29 |-The branch is then unsatisfiable
% 33.36/9.29 |-Branch two:
% 33.36/9.29 | (432) index(status, all_116_2_69) = all_121_0_72
% 33.36/9.29 | (433) all_121_0_72 = all_116_0_67
% 33.36/9.29 |
% 33.36/9.29 | From (433) and (406) follows:
% 33.36/9.29 | (434) index(status, all_0_9_9) = all_116_0_67
% 33.36/9.29 |
% 33.36/9.29 +-Applying beta-rule and splitting (185), into two cases.
% 33.36/9.29 |-Branch one:
% 33.36/9.29 | (237) ~ (elem(all_0_0_0, all_0_2_2) = 0)
% 33.36/9.29 |
% 33.36/9.29 | Using (236) and (237) yields:
% 33.36/9.29 | (211) $false
% 33.36/9.29 |
% 33.36/9.29 |-The branch is then unsatisfiable
% 33.36/9.29 |-Branch two:
% 33.36/9.29 | (236) elem(all_0_0_0, all_0_2_2) = 0
% 33.36/9.29 | (438) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (index(status, v1) = v4 & index(status, all_0_12_12) = v3 & host(all_0_8_8) = v2 & host(all_0_21_21) = v1 & setIn(all_0_6_6, alive) = v0 & ( ~ (v4 = elec_2) | ~ (v3 = elec_2) | ~ (v2 = v1) | ~ (v0 = 0)))
% 33.36/9.29 |
% 33.36/9.29 | Instantiating (438) with all_201_0_87, all_201_1_88, all_201_2_89, all_201_3_90, all_201_4_91 yields:
% 33.36/9.29 | (439) index(status, all_201_3_90) = all_201_0_87 & index(status, all_0_12_12) = all_201_1_88 & host(all_0_8_8) = all_201_2_89 & host(all_0_21_21) = all_201_3_90 & setIn(all_0_6_6, alive) = all_201_4_91 & ( ~ (all_201_0_87 = elec_2) | ~ (all_201_1_88 = elec_2) | ~ (all_201_2_89 = all_201_3_90) | ~ (all_201_4_91 = 0))
% 33.36/9.29 |
% 33.36/9.29 | Applying alpha-rule on (439) yields:
% 33.36/9.29 | (440) setIn(all_0_6_6, alive) = all_201_4_91
% 33.36/9.29 | (441) index(status, all_201_3_90) = all_201_0_87
% 33.36/9.29 | (442) host(all_0_8_8) = all_201_2_89
% 33.36/9.29 | (443) ~ (all_201_0_87 = elec_2) | ~ (all_201_1_88 = elec_2) | ~ (all_201_2_89 = all_201_3_90) | ~ (all_201_4_91 = 0)
% 33.36/9.29 | (444) index(status, all_0_12_12) = all_201_1_88
% 33.81/9.29 | (445) host(all_0_21_21) = all_201_3_90
% 33.81/9.29 |
% 33.81/9.29 +-Applying beta-rule and splitting (334), into two cases.
% 33.81/9.29 |-Branch one:
% 33.81/9.29 | (430) ~ (index(status, all_0_9_9) = all_121_0_72)
% 33.81/9.29 |
% 33.81/9.29 | From (433) and (430) follows:
% 33.81/9.29 | (447) ~ (index(status, all_0_9_9) = all_116_0_67)
% 33.81/9.29 |
% 33.81/9.29 | Using (434) and (447) yields:
% 33.81/9.29 | (211) $false
% 33.81/9.29 |
% 33.81/9.29 |-The branch is then unsatisfiable
% 33.81/9.29 |-Branch two:
% 33.81/9.29 | (406) index(status, all_0_9_9) = all_121_0_72
% 33.81/9.29 | (450) all_121_0_72 = norm
% 33.81/9.29 |
% 33.81/9.29 | Combining equations (450,433) yields a new equation:
% 33.81/9.29 | (451) all_116_0_67 = norm
% 33.81/9.29 |
% 33.81/9.29 | From (451) and (434) follows:
% 33.81/9.29 | (81) index(status, all_0_9_9) = norm
% 33.81/9.29 |
% 33.81/9.29 +-Applying beta-rule and splitting (337), into two cases.
% 33.81/9.29 |-Branch one:
% 33.81/9.29 | (453) ~ (index(status, all_27_2_36) = all_116_0_67)
% 33.81/9.29 |
% 33.81/9.29 | From (381)(451) and (453) follows:
% 33.81/9.29 | (454) ~ (index(status, all_0_9_9) = norm)
% 33.81/9.29 |
% 33.81/9.29 | Using (81) and (454) yields:
% 33.81/9.29 | (211) $false
% 33.81/9.29 |
% 33.81/9.29 |-The branch is then unsatisfiable
% 33.81/9.29 |-Branch two:
% 33.81/9.29 | (456) index(status, all_27_2_36) = all_116_0_67
% 33.81/9.29 | (457) all_116_0_67 = all_27_1_35
% 33.81/9.29 |
% 33.81/9.29 | Combining equations (451,457) yields a new equation:
% 33.81/9.29 | (458) all_27_1_35 = norm
% 33.81/9.29 |
% 33.81/9.29 | From (458) and (408) follows:
% 33.81/9.29 | (81) index(status, all_0_9_9) = norm
% 33.81/9.29 |
% 33.81/9.29 +-Applying beta-rule and splitting (333), into two cases.
% 33.81/9.29 |-Branch one:
% 33.81/9.29 | (460) ~ (index(elid, all_0_19_19) = all_25_0_31)
% 33.81/9.29 |
% 33.81/9.29 | From (422) and (460) follows:
% 33.81/9.29 | (461) ~ (index(elid, all_0_19_19) = all_0_21_21)
% 33.81/9.29 |
% 33.81/9.29 | Using (423) and (461) yields:
% 33.81/9.29 | (211) $false
% 33.81/9.29 |
% 33.81/9.29 |-The branch is then unsatisfiable
% 33.81/9.29 |-Branch two:
% 33.81/9.29 | (405) index(elid, all_0_19_19) = all_25_0_31
% 33.81/9.29 | (464) all_25_0_31 = all_0_22_22
% 33.81/9.29 |
% 33.81/9.29 | Combining equations (464,422) yields a new equation:
% 33.81/9.29 | (465) all_0_21_21 = all_0_22_22
% 33.81/9.29 |
% 33.81/9.29 | From (465) and (445) follows:
% 33.81/9.29 | (466) host(all_0_22_22) = all_201_3_90
% 33.81/9.29 |
% 33.81/9.29 | From (465) and (62) follows:
% 33.81/9.29 | (467) host(all_0_22_22) = all_0_19_19
% 33.81/9.29 |
% 33.81/9.29 +-Applying beta-rule and splitting (332), into two cases.
% 33.81/9.29 |-Branch one:
% 33.81/9.29 | (468) ~ (index(ldr, all_116_2_69) = all_121_1_73)
% 33.81/9.29 |
% 33.81/9.29 | From (376) and (468) follows:
% 33.81/9.29 | (469) ~ (index(ldr, all_0_9_9) = all_121_1_73)
% 33.81/9.29 |
% 33.81/9.29 | Using (404) and (469) yields:
% 33.81/9.29 | (211) $false
% 33.81/9.29 |
% 33.81/9.29 |-The branch is then unsatisfiable
% 33.81/9.29 |-Branch two:
% 33.81/9.29 | (471) index(ldr, all_116_2_69) = all_121_1_73
% 33.81/9.29 | (472) all_121_1_73 = all_116_1_68
% 33.81/9.29 |
% 33.81/9.29 | From (472) and (404) follows:
% 33.81/9.29 | (473) index(ldr, all_0_9_9) = all_116_1_68
% 33.81/9.29 |
% 33.81/9.29 +-Applying beta-rule and splitting (331), into two cases.
% 33.81/9.29 |-Branch one:
% 33.81/9.29 | (474) ~ (index(ldr, all_0_9_9) = all_116_1_68)
% 33.81/9.29 |
% 33.81/9.29 | Using (473) and (474) yields:
% 33.81/9.29 | (211) $false
% 33.81/9.29 |
% 33.81/9.29 |-The branch is then unsatisfiable
% 33.81/9.29 |-Branch two:
% 33.81/9.29 | (473) index(ldr, all_0_9_9) = all_116_1_68
% 33.81/9.29 | (477) all_116_1_68 = all_0_9_9
% 33.81/9.29 |
% 33.81/9.29 | From (477) and (473) follows:
% 33.81/9.29 | (87) index(ldr, all_0_9_9) = all_0_9_9
% 33.81/9.29 |
% 33.81/9.29 | Instantiating formula (29) with status, all_0_12_12, all_201_1_88, elec_2 and discharging atoms index(status, all_0_12_12) = all_201_1_88, index(status, all_0_12_12) = elec_2, yields:
% 33.81/9.29 | (479) all_201_1_88 = elec_2
% 33.81/9.29 |
% 33.81/9.29 | Instantiating formula (39) with all_201_2_89, all_0_5_5, all_0_8_8 and discharging atoms host(all_0_8_8) = all_201_2_89, host(all_0_8_8) = all_0_5_5, yields:
% 33.81/9.29 | (480) all_201_2_89 = all_0_5_5
% 33.81/9.29 |
% 33.81/9.29 | Instantiating formula (39) with all_0_19_19, all_201_3_90, all_0_22_22 and discharging atoms host(all_0_22_22) = all_201_3_90, host(all_0_22_22) = all_0_19_19, yields:
% 33.81/9.29 | (481) all_201_3_90 = all_0_19_19
% 33.81/9.29 |
% 33.81/9.29 | Instantiating formula (26) with all_0_6_6, alive, all_201_4_91, 0 and discharging atoms setIn(all_0_6_6, alive) = all_201_4_91, setIn(all_0_6_6, alive) = 0, yields:
% 33.81/9.29 | (482) all_201_4_91 = 0
% 33.81/9.29 |
% 33.81/9.29 | From (479) and (444) follows:
% 33.81/9.29 | (148) index(status, all_0_12_12) = elec_2
% 33.81/9.29 |
% 33.81/9.29 | From (480) and (442) follows:
% 33.81/9.29 | (47) host(all_0_8_8) = all_0_5_5
% 33.81/9.29 |
% 33.81/9.29 | From (481) and (466) follows:
% 33.81/9.29 | (467) host(all_0_22_22) = all_0_19_19
% 33.81/9.29 |
% 33.81/9.29 | From (482) and (440) follows:
% 33.81/9.29 | (10) setIn(all_0_6_6, alive) = 0
% 33.81/9.30 |
% 33.81/9.30 | Instantiating formula (34) with all_0_5_5, all_0_5_5, all_0_12_12, all_0_12_12, all_0_6_6, all_0_6_6 and discharging atoms index(pendack, all_0_12_12) = all_0_5_5, leq(all_0_5_5, all_0_5_5) = 0, host(all_0_6_6) = all_0_12_12, yields:
% 33.84/9.30 | (487) ? [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_6_6, alive) = v2 & setIn(all_0_6_6, alive) = v1 & ( ~ (v4 = elec_2) | ~ (v3 = elec_2) | ~ (v2 = 0) | ~ (v1 = 0) | v0 = 0))
% 33.84/9.30 |
% 33.84/9.30 | Instantiating formula (34) with all_0_5_5, all_0_5_5, all_0_12_12, all_0_12_12, all_0_6_6, all_0_13_13 and discharging atoms index(pendack, all_0_12_12) = all_0_5_5, leq(all_0_5_5, all_0_5_5) = 0, host(all_0_6_6) = all_0_12_12, host(all_0_13_13) = all_0_12_12, yields:
% 33.84/9.30 | (488) ? [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_6_6, alive) = v2 & setIn(all_0_13_13, alive) = v1 & ( ~ (v4 = elec_2) | ~ (v3 = elec_2) | ~ (v2 = 0) | ~ (v1 = 0) | v0 = 0))
% 33.84/9.30 |
% 33.84/9.30 | Instantiating formula (34) with all_0_5_5, all_0_5_5, all_0_12_12, all_0_12_12, all_0_13_13, all_0_6_6 and discharging atoms index(pendack, all_0_12_12) = all_0_5_5, leq(all_0_5_5, all_0_5_5) = 0, host(all_0_6_6) = all_0_12_12, host(all_0_13_13) = all_0_12_12, yields:
% 33.84/9.30 | (489) ? [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_6_6, alive) = v1 & setIn(all_0_13_13, alive) = v2 & ( ~ (v4 = elec_2) | ~ (v3 = elec_2) | ~ (v2 = 0) | ~ (v1 = 0) | v0 = 0))
% 33.84/9.30 |
% 33.84/9.30 | Instantiating formula (34) with all_0_5_5, all_0_5_5, all_0_12_12, all_0_12_12, all_0_13_13, all_0_13_13 and discharging atoms index(pendack, all_0_12_12) = all_0_5_5, leq(all_0_5_5, all_0_5_5) = 0, host(all_0_13_13) = all_0_12_12, yields:
% 33.84/9.30 | (490) ? [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_13_13, alive) = v2 & setIn(all_0_13_13, alive) = v1 & ( ~ (v4 = elec_2) | ~ (v3 = elec_2) | ~ (v2 = 0) | ~ (v1 = 0) | v0 = 0))
% 33.84/9.30 |
% 33.84/9.30 | Instantiating formula (34) with nbr_proc, all_0_5_5, all_0_19_19, all_0_12_12, all_0_22_22, all_0_6_6 and discharging atoms index(pendack, all_0_12_12) = all_0_5_5, index(pendack, all_0_19_19) = nbr_proc, leq(all_0_5_5, nbr_proc) = 0, host(all_0_6_6) = all_0_12_12, host(all_0_22_22) = all_0_19_19, yields:
% 33.84/9.30 | (491) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (index(status, all_0_12_12) = v3 & index(status, all_0_19_19) = v4 & leq(all_0_12_12, all_0_19_19) = v0 & setIn(all_0_6_6, alive) = v1 & setIn(all_0_22_22, alive) = v2 & ( ~ (v4 = elec_2) | ~ (v3 = elec_2) | ~ (v2 = 0) | ~ (v1 = 0) | v0 = 0))
% 33.84/9.30 |
% 33.84/9.30 | Instantiating formula (34) with nbr_proc, all_0_5_5, all_0_19_19, all_0_12_12, all_0_22_22, all_0_13_13 and discharging atoms index(pendack, all_0_12_12) = all_0_5_5, index(pendack, all_0_19_19) = nbr_proc, leq(all_0_5_5, nbr_proc) = 0, host(all_0_13_13) = all_0_12_12, host(all_0_22_22) = all_0_19_19, yields:
% 33.84/9.30 | (492) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (index(status, all_0_12_12) = v3 & index(status, all_0_19_19) = v4 & leq(all_0_12_12, all_0_19_19) = v0 & setIn(all_0_13_13, alive) = v1 & setIn(all_0_22_22, alive) = v2 & ( ~ (v4 = elec_2) | ~ (v3 = elec_2) | ~ (v2 = 0) | ~ (v1 = 0) | v0 = 0))
% 33.84/9.30 |
% 33.84/9.30 | Instantiating formula (71) with all_0_0_0, all_0_2_2, all_0_12_12, all_0_3_3, all_0_6_6, all_0_7_7, all_0_8_8, all_0_10_10 and discharging atoms m_Down(all_0_7_7) = all_0_3_3, m_Ack(all_0_6_6, all_0_8_8) = all_0_0_0, host(all_0_6_6) = all_0_12_12, queue(all_0_12_12) = all_0_2_2, elem(all_0_0_0, all_0_2_2) = 0, elem(all_0_3_3, all_0_2_2) = 0, setIn(all_0_10_10, alive) = 0, yields:
% 33.84/9.30 | (493) ? [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_7_7) = v6 & host(all_0_8_8) = v5 & host(all_0_10_10) = v7 & setIn(all_0_6_6, alive) = v0 & ( ~ (v9 = norm) | ~ (v8 = v7) | ~ (v6 = v2) | ~ (v5 = v1) | ~ (v4 = elec_2) | ~ (v3 = 0) | ~ (v0 = 0)))
% 33.84/9.30 |
% 33.84/9.30 | Instantiating (493) with all_282_0_93, all_282_1_94, all_282_2_95, all_282_3_96, all_282_4_97, all_282_5_98, all_282_6_99, all_282_7_100, all_282_8_101, all_282_9_102 yields:
% 33.84/9.30 | (494) index(ldr, all_282_2_95) = all_282_1_94 & index(status, all_282_2_95) = all_282_0_93 & index(status, all_0_12_12) = all_282_5_98 & index(pendack, all_0_12_12) = all_282_8_101 & leq(nbr_proc, all_282_7_100) = all_282_6_99 & s(all_282_8_101) = all_282_7_100 & host(all_0_7_7) = all_282_3_96 & host(all_0_8_8) = all_282_4_97 & host(all_0_10_10) = all_282_2_95 & setIn(all_0_6_6, alive) = all_282_9_102 & ( ~ (all_282_0_93 = norm) | ~ (all_282_1_94 = all_282_2_95) | ~ (all_282_3_96 = all_282_7_100) | ~ (all_282_4_97 = all_282_8_101) | ~ (all_282_5_98 = elec_2) | ~ (all_282_6_99 = 0) | ~ (all_282_9_102 = 0))
% 33.84/9.30 |
% 33.84/9.30 | Applying alpha-rule on (494) yields:
% 33.84/9.30 | (495) index(status, all_0_12_12) = all_282_5_98
% 33.84/9.30 | (496) ~ (all_282_0_93 = norm) | ~ (all_282_1_94 = all_282_2_95) | ~ (all_282_3_96 = all_282_7_100) | ~ (all_282_4_97 = all_282_8_101) | ~ (all_282_5_98 = elec_2) | ~ (all_282_6_99 = 0) | ~ (all_282_9_102 = 0)
% 33.84/9.30 | (497) host(all_0_10_10) = all_282_2_95
% 33.84/9.30 | (498) index(status, all_282_2_95) = all_282_0_93
% 33.84/9.30 | (499) index(pendack, all_0_12_12) = all_282_8_101
% 33.84/9.30 | (500) index(ldr, all_282_2_95) = all_282_1_94
% 33.84/9.30 | (501) host(all_0_7_7) = all_282_3_96
% 33.84/9.30 | (502) leq(nbr_proc, all_282_7_100) = all_282_6_99
% 33.84/9.30 | (503) host(all_0_8_8) = all_282_4_97
% 33.84/9.30 | (504) s(all_282_8_101) = all_282_7_100
% 33.84/9.30 | (505) setIn(all_0_6_6, alive) = all_282_9_102
% 33.84/9.30 |
% 33.84/9.30 | Instantiating (492) with all_284_0_103, all_284_1_104, all_284_2_105, all_284_3_106, all_284_4_107 yields:
% 33.84/9.30 | (506) index(status, all_0_12_12) = all_284_1_104 & index(status, all_0_19_19) = all_284_0_103 & leq(all_0_12_12, all_0_19_19) = all_284_4_107 & setIn(all_0_13_13, alive) = all_284_3_106 & setIn(all_0_22_22, alive) = all_284_2_105 & ( ~ (all_284_0_103 = elec_2) | ~ (all_284_1_104 = elec_2) | ~ (all_284_2_105 = 0) | ~ (all_284_3_106 = 0) | all_284_4_107 = 0)
% 33.84/9.30 |
% 33.84/9.30 | Applying alpha-rule on (506) yields:
% 33.84/9.30 | (507) index(status, all_0_19_19) = all_284_0_103
% 33.84/9.30 | (508) index(status, all_0_12_12) = all_284_1_104
% 33.84/9.30 | (509) setIn(all_0_13_13, alive) = all_284_3_106
% 33.84/9.30 | (510) ~ (all_284_0_103 = elec_2) | ~ (all_284_1_104 = elec_2) | ~ (all_284_2_105 = 0) | ~ (all_284_3_106 = 0) | all_284_4_107 = 0
% 33.84/9.30 | (511) setIn(all_0_22_22, alive) = all_284_2_105
% 33.84/9.30 | (512) leq(all_0_12_12, all_0_19_19) = all_284_4_107
% 33.84/9.30 |
% 33.84/9.30 | Instantiating (491) with all_286_0_108, all_286_1_109, all_286_2_110, all_286_3_111, all_286_4_112 yields:
% 33.84/9.30 | (513) index(status, all_0_12_12) = all_286_1_109 & index(status, all_0_19_19) = all_286_0_108 & leq(all_0_12_12, all_0_19_19) = all_286_4_112 & setIn(all_0_6_6, alive) = all_286_3_111 & setIn(all_0_22_22, alive) = all_286_2_110 & ( ~ (all_286_0_108 = elec_2) | ~ (all_286_1_109 = elec_2) | ~ (all_286_2_110 = 0) | ~ (all_286_3_111 = 0) | all_286_4_112 = 0)
% 33.84/9.30 |
% 33.84/9.30 | Applying alpha-rule on (513) yields:
% 33.84/9.30 | (514) setIn(all_0_22_22, alive) = all_286_2_110
% 33.87/9.30 | (515) leq(all_0_12_12, all_0_19_19) = all_286_4_112
% 33.87/9.30 | (516) index(status, all_0_12_12) = all_286_1_109
% 33.87/9.30 | (517) setIn(all_0_6_6, alive) = all_286_3_111
% 33.87/9.30 | (518) index(status, all_0_19_19) = all_286_0_108
% 33.87/9.30 | (519) ~ (all_286_0_108 = elec_2) | ~ (all_286_1_109 = elec_2) | ~ (all_286_2_110 = 0) | ~ (all_286_3_111 = 0) | all_286_4_112 = 0
% 33.87/9.30 |
% 33.87/9.30 | Instantiating (490) with all_288_0_113, all_288_1_114, all_288_2_115, all_288_3_116, all_288_4_117 yields:
% 33.87/9.31 | (520) index(status, all_0_12_12) = all_288_0_113 & index(status, all_0_12_12) = all_288_1_114 & leq(all_0_12_12, all_0_12_12) = all_288_4_117 & setIn(all_0_13_13, alive) = all_288_2_115 & setIn(all_0_13_13, alive) = all_288_3_116 & ( ~ (all_288_0_113 = elec_2) | ~ (all_288_1_114 = elec_2) | ~ (all_288_2_115 = 0) | ~ (all_288_3_116 = 0) | all_288_4_117 = 0)
% 33.87/9.31 |
% 33.87/9.31 | Applying alpha-rule on (520) yields:
% 33.87/9.31 | (521) index(status, all_0_12_12) = all_288_1_114
% 33.87/9.31 | (522) leq(all_0_12_12, all_0_12_12) = all_288_4_117
% 33.88/9.31 | (523) index(status, all_0_12_12) = all_288_0_113
% 33.88/9.31 | (524) setIn(all_0_13_13, alive) = all_288_3_116
% 33.88/9.31 | (525) ~ (all_288_0_113 = elec_2) | ~ (all_288_1_114 = elec_2) | ~ (all_288_2_115 = 0) | ~ (all_288_3_116 = 0) | all_288_4_117 = 0
% 33.88/9.31 | (526) setIn(all_0_13_13, alive) = all_288_2_115
% 33.88/9.31 |
% 33.88/9.31 | Instantiating (488) with all_290_0_118, all_290_1_119, all_290_2_120, all_290_3_121, all_290_4_122 yields:
% 33.88/9.31 | (527) index(status, all_0_12_12) = all_290_0_118 & index(status, all_0_12_12) = all_290_1_119 & leq(all_0_12_12, all_0_12_12) = all_290_4_122 & setIn(all_0_6_6, alive) = all_290_2_120 & setIn(all_0_13_13, alive) = all_290_3_121 & ( ~ (all_290_0_118 = elec_2) | ~ (all_290_1_119 = elec_2) | ~ (all_290_2_120 = 0) | ~ (all_290_3_121 = 0) | all_290_4_122 = 0)
% 33.88/9.31 |
% 33.88/9.31 | Applying alpha-rule on (527) yields:
% 33.88/9.31 | (528) setIn(all_0_13_13, alive) = all_290_3_121
% 33.88/9.31 | (529) index(status, all_0_12_12) = all_290_0_118
% 33.88/9.31 | (530) ~ (all_290_0_118 = elec_2) | ~ (all_290_1_119 = elec_2) | ~ (all_290_2_120 = 0) | ~ (all_290_3_121 = 0) | all_290_4_122 = 0
% 33.88/9.31 | (531) leq(all_0_12_12, all_0_12_12) = all_290_4_122
% 33.88/9.31 | (532) setIn(all_0_6_6, alive) = all_290_2_120
% 33.88/9.31 | (533) index(status, all_0_12_12) = all_290_1_119
% 33.88/9.31 |
% 33.88/9.31 | Instantiating (487) with all_292_0_123, all_292_1_124, all_292_2_125, all_292_3_126, all_292_4_127 yields:
% 33.88/9.31 | (534) index(status, all_0_12_12) = all_292_0_123 & index(status, all_0_12_12) = all_292_1_124 & leq(all_0_12_12, all_0_12_12) = all_292_4_127 & setIn(all_0_6_6, alive) = all_292_2_125 & setIn(all_0_6_6, alive) = all_292_3_126 & ( ~ (all_292_0_123 = elec_2) | ~ (all_292_1_124 = elec_2) | ~ (all_292_2_125 = 0) | ~ (all_292_3_126 = 0) | all_292_4_127 = 0)
% 33.88/9.31 |
% 33.88/9.31 | Applying alpha-rule on (534) yields:
% 33.88/9.31 | (535) ~ (all_292_0_123 = elec_2) | ~ (all_292_1_124 = elec_2) | ~ (all_292_2_125 = 0) | ~ (all_292_3_126 = 0) | all_292_4_127 = 0
% 33.88/9.31 | (536) index(status, all_0_12_12) = all_292_0_123
% 33.88/9.31 | (537) setIn(all_0_6_6, alive) = all_292_3_126
% 33.88/9.31 | (538) leq(all_0_12_12, all_0_12_12) = all_292_4_127
% 33.88/9.31 | (539) index(status, all_0_12_12) = all_292_1_124
% 33.88/9.31 | (540) setIn(all_0_6_6, alive) = all_292_2_125
% 33.88/9.31 |
% 33.88/9.31 | Instantiating (489) with all_294_0_128, all_294_1_129, all_294_2_130, all_294_3_131, all_294_4_132 yields:
% 33.88/9.31 | (541) index(status, all_0_12_12) = all_294_0_128 & index(status, all_0_12_12) = all_294_1_129 & leq(all_0_12_12, all_0_12_12) = all_294_4_132 & setIn(all_0_6_6, alive) = all_294_3_131 & setIn(all_0_13_13, alive) = all_294_2_130 & ( ~ (all_294_0_128 = elec_2) | ~ (all_294_1_129 = elec_2) | ~ (all_294_2_130 = 0) | ~ (all_294_3_131 = 0) | all_294_4_132 = 0)
% 33.88/9.31 |
% 33.88/9.31 | Applying alpha-rule on (541) yields:
% 33.88/9.31 | (542) index(status, all_0_12_12) = all_294_0_128
% 33.88/9.31 | (543) setIn(all_0_13_13, alive) = all_294_2_130
% 33.88/9.31 | (544) leq(all_0_12_12, all_0_12_12) = all_294_4_132
% 33.88/9.31 | (545) ~ (all_294_0_128 = elec_2) | ~ (all_294_1_129 = elec_2) | ~ (all_294_2_130 = 0) | ~ (all_294_3_131 = 0) | all_294_4_132 = 0
% 33.88/9.31 | (546) setIn(all_0_6_6, alive) = all_294_3_131
% 33.88/9.31 | (547) index(status, all_0_12_12) = all_294_1_129
% 33.88/9.31 |
% 33.88/9.31 | Instantiating formula (29) with ldr, all_0_9_9, all_282_1_94, all_0_9_9 and discharging atoms index(ldr, all_0_9_9) = all_0_9_9, yields:
% 33.88/9.31 | (548) all_282_1_94 = all_0_9_9 | ~ (index(ldr, all_0_9_9) = all_282_1_94)
% 33.88/9.31 |
% 33.88/9.31 | Instantiating formula (29) with status, all_0_9_9, all_282_0_93, norm and discharging atoms index(status, all_0_9_9) = norm, yields:
% 33.88/9.31 | (549) all_282_0_93 = norm | ~ (index(status, all_0_9_9) = all_282_0_93)
% 33.88/9.31 |
% 33.88/9.31 | Instantiating formula (29) with status, all_0_12_12, all_294_1_129, elec_2 and discharging atoms index(status, all_0_12_12) = all_294_1_129, index(status, all_0_12_12) = elec_2, yields:
% 33.88/9.31 | (550) all_294_1_129 = elec_2
% 33.88/9.31 |
% 33.88/9.31 | Instantiating formula (29) with status, all_0_12_12, all_294_1_129, all_294_0_128 and discharging atoms index(status, all_0_12_12) = all_294_0_128, index(status, all_0_12_12) = all_294_1_129, yields:
% 33.88/9.31 | (551) all_294_0_128 = all_294_1_129
% 33.88/9.31 |
% 33.88/9.31 | Instantiating formula (29) with status, all_0_12_12, all_292_0_123, all_294_0_128 and discharging atoms index(status, all_0_12_12) = all_294_0_128, index(status, all_0_12_12) = all_292_0_123, yields:
% 33.88/9.31 | (552) all_294_0_128 = all_292_0_123
% 33.88/9.31 |
% 33.88/9.31 | Instantiating formula (29) with status, all_0_12_12, all_292_1_124, all_294_0_128 and discharging atoms index(status, all_0_12_12) = all_294_0_128, index(status, all_0_12_12) = all_292_1_124, yields:
% 33.88/9.31 | (553) all_294_0_128 = all_292_1_124
% 33.88/9.31 |
% 33.88/9.31 | Instantiating formula (29) with status, all_0_12_12, all_290_1_119, all_292_1_124 and discharging atoms index(status, all_0_12_12) = all_292_1_124, index(status, all_0_12_12) = all_290_1_119, yields:
% 33.88/9.31 | (554) all_292_1_124 = all_290_1_119
% 33.88/9.31 |
% 33.88/9.31 | Instantiating formula (29) with status, all_0_12_12, all_288_0_113, all_290_1_119 and discharging atoms index(status, all_0_12_12) = all_290_1_119, index(status, all_0_12_12) = all_288_0_113, yields:
% 33.88/9.31 | (555) all_290_1_119 = all_288_0_113
% 33.88/9.31 |
% 33.88/9.31 | Instantiating formula (29) with status, all_0_12_12, all_288_1_114, all_290_0_118 and discharging atoms index(status, all_0_12_12) = all_290_0_118, index(status, all_0_12_12) = all_288_1_114, yields:
% 33.88/9.31 | (556) all_290_0_118 = all_288_1_114
% 33.88/9.31 |
% 33.88/9.31 | Instantiating formula (29) with status, all_0_12_12, all_286_1_109, all_288_0_113 and discharging atoms index(status, all_0_12_12) = all_288_0_113, index(status, all_0_12_12) = all_286_1_109, yields:
% 33.88/9.31 | (557) all_288_0_113 = all_286_1_109
% 33.88/9.31 |
% 33.88/9.31 | Instantiating formula (29) with status, all_0_12_12, all_286_1_109, all_288_1_114 and discharging atoms index(status, all_0_12_12) = all_288_1_114, index(status, all_0_12_12) = all_286_1_109, yields:
% 33.88/9.31 | (558) all_288_1_114 = all_286_1_109
% 33.88/9.31 |
% 33.88/9.31 | Instantiating formula (29) with status, all_0_12_12, all_284_1_104, all_288_1_114 and discharging atoms index(status, all_0_12_12) = all_288_1_114, index(status, all_0_12_12) = all_284_1_104, yields:
% 33.88/9.31 | (559) all_288_1_114 = all_284_1_104
% 33.88/9.31 |
% 33.88/9.31 | Instantiating formula (29) with status, all_0_12_12, all_282_5_98, all_290_0_118 and discharging atoms index(status, all_0_12_12) = all_290_0_118, index(status, all_0_12_12) = all_282_5_98, yields:
% 33.88/9.31 | (560) all_290_0_118 = all_282_5_98
% 33.88/9.31 |
% 33.88/9.31 | Instantiating formula (29) with pendack, all_0_12_12, all_282_8_101, all_0_5_5 and discharging atoms index(pendack, all_0_12_12) = all_282_8_101, index(pendack, all_0_12_12) = all_0_5_5, yields:
% 33.88/9.31 | (561) all_282_8_101 = all_0_5_5
% 33.88/9.31 |
% 33.88/9.31 | Instantiating formula (155) with all_282_6_99, nbr_proc yields:
% 33.88/9.31 | (562) all_282_6_99 = 0 | ~ (leq(nbr_proc, nbr_proc) = all_282_6_99)
% 33.88/9.31 |
% 33.88/9.31 | Instantiating formula (102) with all_0_5_5, all_282_7_100, nbr_proc and discharging atoms s(all_0_5_5) = nbr_proc, yields:
% 33.88/9.31 | (563) all_282_7_100 = nbr_proc | ~ (s(all_0_5_5) = all_282_7_100)
% 33.88/9.31 |
% 33.88/9.31 | Instantiating formula (39) with all_282_3_96, nbr_proc, all_0_7_7 and discharging atoms host(all_0_7_7) = all_282_3_96, host(all_0_7_7) = nbr_proc, yields:
% 33.88/9.31 | (564) all_282_3_96 = nbr_proc
% 33.88/9.31 |
% 33.88/9.31 | Instantiating formula (39) with all_282_4_97, all_0_5_5, all_0_8_8 and discharging atoms host(all_0_8_8) = all_282_4_97, host(all_0_8_8) = all_0_5_5, yields:
% 33.88/9.31 | (565) all_282_4_97 = all_0_5_5
% 33.88/9.31 |
% 33.88/9.31 | Instantiating formula (39) with all_282_2_95, all_0_9_9, all_0_10_10 and discharging atoms host(all_0_10_10) = all_282_2_95, host(all_0_10_10) = all_0_9_9, yields:
% 33.88/9.31 | (566) all_282_2_95 = all_0_9_9
% 33.88/9.31 |
% 33.88/9.31 | Instantiating formula (26) with all_0_6_6, alive, all_292_2_125, 0 and discharging atoms setIn(all_0_6_6, alive) = all_292_2_125, setIn(all_0_6_6, alive) = 0, yields:
% 33.88/9.31 | (567) all_292_2_125 = 0
% 33.88/9.31 |
% 33.88/9.31 | Instantiating formula (26) with all_0_6_6, alive, all_292_2_125, all_294_3_131 and discharging atoms setIn(all_0_6_6, alive) = all_294_3_131, setIn(all_0_6_6, alive) = all_292_2_125, yields:
% 33.88/9.31 | (568) all_294_3_131 = all_292_2_125
% 33.88/9.31 |
% 33.88/9.31 | Instantiating formula (26) with all_0_6_6, alive, all_292_3_126, all_294_3_131 and discharging atoms setIn(all_0_6_6, alive) = all_294_3_131, setIn(all_0_6_6, alive) = all_292_3_126, yields:
% 33.88/9.31 | (569) all_294_3_131 = all_292_3_126
% 33.88/9.31 |
% 33.88/9.31 | Instantiating formula (26) with all_0_6_6, alive, all_290_2_120, all_292_2_125 and discharging atoms setIn(all_0_6_6, alive) = all_292_2_125, setIn(all_0_6_6, alive) = all_290_2_120, yields:
% 33.88/9.32 | (570) all_292_2_125 = all_290_2_120
% 33.88/9.32 |
% 33.88/9.32 | Instantiating formula (26) with all_0_6_6, alive, all_286_3_111, all_292_2_125 and discharging atoms setIn(all_0_6_6, alive) = all_292_2_125, setIn(all_0_6_6, alive) = all_286_3_111, yields:
% 33.88/9.32 | (571) all_292_2_125 = all_286_3_111
% 33.88/9.32 |
% 33.88/9.32 | Instantiating formula (26) with all_0_6_6, alive, all_282_9_102, all_286_3_111 and discharging atoms setIn(all_0_6_6, alive) = all_286_3_111, setIn(all_0_6_6, alive) = all_282_9_102, yields:
% 33.88/9.32 | (572) all_286_3_111 = all_282_9_102
% 33.88/9.32 |
% 33.88/9.32 | Combining equations (551,552) yields a new equation:
% 33.88/9.32 | (573) all_294_1_129 = all_292_0_123
% 33.88/9.32 |
% 33.88/9.32 | Simplifying 573 yields:
% 33.88/9.32 | (574) all_294_1_129 = all_292_0_123
% 33.88/9.32 |
% 33.88/9.32 | Combining equations (553,552) yields a new equation:
% 33.88/9.32 | (575) all_292_0_123 = all_292_1_124
% 33.88/9.32 |
% 33.88/9.32 | Combining equations (574,550) yields a new equation:
% 33.88/9.32 | (576) all_292_0_123 = elec_2
% 33.88/9.32 |
% 33.88/9.32 | Simplifying 576 yields:
% 33.88/9.32 | (577) all_292_0_123 = elec_2
% 33.88/9.32 |
% 33.88/9.32 | Combining equations (568,569) yields a new equation:
% 33.88/9.32 | (578) all_292_2_125 = all_292_3_126
% 33.88/9.32 |
% 33.88/9.32 | Simplifying 578 yields:
% 33.88/9.32 | (579) all_292_2_125 = all_292_3_126
% 33.88/9.32 |
% 33.88/9.32 | Combining equations (575,577) yields a new equation:
% 33.88/9.32 | (580) all_292_1_124 = elec_2
% 33.88/9.32 |
% 33.88/9.32 | Simplifying 580 yields:
% 33.88/9.32 | (581) all_292_1_124 = elec_2
% 33.88/9.32 |
% 33.88/9.32 | Combining equations (554,581) yields a new equation:
% 33.88/9.32 | (582) all_290_1_119 = elec_2
% 33.88/9.32 |
% 33.88/9.32 | Simplifying 582 yields:
% 33.88/9.32 | (583) all_290_1_119 = elec_2
% 33.88/9.32 |
% 33.88/9.32 | Combining equations (567,579) yields a new equation:
% 33.88/9.32 | (584) all_292_3_126 = 0
% 33.88/9.32 |
% 33.88/9.32 | Combining equations (571,579) yields a new equation:
% 33.88/9.32 | (585) all_292_3_126 = all_286_3_111
% 33.88/9.32 |
% 33.88/9.32 | Combining equations (570,579) yields a new equation:
% 33.88/9.32 | (586) all_292_3_126 = all_290_2_120
% 33.88/9.32 |
% 33.88/9.32 | Combining equations (584,586) yields a new equation:
% 33.88/9.32 | (587) all_290_2_120 = 0
% 33.88/9.32 |
% 33.88/9.32 | Combining equations (585,586) yields a new equation:
% 33.88/9.32 | (588) all_290_2_120 = all_286_3_111
% 33.88/9.32 |
% 33.88/9.32 | Combining equations (556,560) yields a new equation:
% 33.88/9.32 | (589) all_288_1_114 = all_282_5_98
% 33.88/9.32 |
% 33.88/9.32 | Simplifying 589 yields:
% 33.88/9.32 | (590) all_288_1_114 = all_282_5_98
% 33.88/9.32 |
% 33.88/9.32 | Combining equations (555,583) yields a new equation:
% 33.88/9.32 | (591) all_288_0_113 = elec_2
% 33.88/9.32 |
% 33.88/9.32 | Simplifying 591 yields:
% 33.88/9.32 | (592) all_288_0_113 = elec_2
% 33.88/9.32 |
% 33.88/9.32 | Combining equations (588,587) yields a new equation:
% 33.88/9.32 | (593) all_286_3_111 = 0
% 33.88/9.32 |
% 33.88/9.32 | Simplifying 593 yields:
% 33.88/9.32 | (594) all_286_3_111 = 0
% 33.88/9.32 |
% 33.88/9.32 | Combining equations (557,592) yields a new equation:
% 33.88/9.32 | (595) all_286_1_109 = elec_2
% 33.88/9.32 |
% 33.88/9.32 | Simplifying 595 yields:
% 33.88/9.32 | (596) all_286_1_109 = elec_2
% 33.88/9.32 |
% 33.88/9.32 | Combining equations (590,559) yields a new equation:
% 33.88/9.32 | (597) all_284_1_104 = all_282_5_98
% 33.88/9.32 |
% 33.88/9.32 | Combining equations (558,559) yields a new equation:
% 33.88/9.32 | (598) all_286_1_109 = all_284_1_104
% 33.88/9.32 |
% 33.88/9.32 | Simplifying 598 yields:
% 33.88/9.32 | (599) all_286_1_109 = all_284_1_104
% 33.88/9.32 |
% 33.88/9.32 | Combining equations (599,596) yields a new equation:
% 33.88/9.32 | (600) all_284_1_104 = elec_2
% 33.88/9.32 |
% 33.88/9.32 | Simplifying 600 yields:
% 33.88/9.32 | (601) all_284_1_104 = elec_2
% 33.88/9.32 |
% 33.88/9.32 | Combining equations (594,572) yields a new equation:
% 33.88/9.32 | (602) all_282_9_102 = 0
% 33.88/9.32 |
% 33.88/9.32 | Combining equations (597,601) yields a new equation:
% 33.88/9.32 | (603) all_282_5_98 = elec_2
% 33.88/9.32 |
% 33.88/9.32 | Simplifying 603 yields:
% 33.88/9.32 | (604) all_282_5_98 = elec_2
% 33.88/9.32 |
% 33.88/9.32 | From (566) and (500) follows:
% 33.88/9.32 | (605) index(ldr, all_0_9_9) = all_282_1_94
% 33.88/9.32 |
% 33.88/9.32 | From (566) and (498) follows:
% 33.88/9.32 | (606) index(status, all_0_9_9) = all_282_0_93
% 33.88/9.32 |
% 33.88/9.32 | From (561) and (504) follows:
% 33.88/9.32 | (607) s(all_0_5_5) = all_282_7_100
% 33.88/9.32 |
% 33.88/9.32 +-Applying beta-rule and splitting (549), into two cases.
% 33.88/9.32 |-Branch one:
% 33.88/9.32 | (608) ~ (index(status, all_0_9_9) = all_282_0_93)
% 33.88/9.32 |
% 33.88/9.32 | Using (606) and (608) yields:
% 33.88/9.32 | (211) $false
% 33.88/9.32 |
% 33.88/9.32 |-The branch is then unsatisfiable
% 33.88/9.32 |-Branch two:
% 33.88/9.32 | (606) index(status, all_0_9_9) = all_282_0_93
% 33.88/9.32 | (611) all_282_0_93 = norm
% 33.88/9.32 |
% 33.88/9.32 +-Applying beta-rule and splitting (563), into two cases.
% 33.88/9.32 |-Branch one:
% 33.88/9.32 | (612) ~ (s(all_0_5_5) = all_282_7_100)
% 33.88/9.32 |
% 33.88/9.32 | Using (607) and (612) yields:
% 33.88/9.32 | (211) $false
% 33.88/9.32 |
% 33.88/9.32 |-The branch is then unsatisfiable
% 33.88/9.32 |-Branch two:
% 33.88/9.32 | (607) s(all_0_5_5) = all_282_7_100
% 33.88/9.32 | (615) all_282_7_100 = nbr_proc
% 33.88/9.32 |
% 33.88/9.32 | From (615) and (502) follows:
% 33.88/9.32 | (616) leq(nbr_proc, nbr_proc) = all_282_6_99
% 33.88/9.32 |
% 33.88/9.32 +-Applying beta-rule and splitting (562), into two cases.
% 33.88/9.32 |-Branch one:
% 33.88/9.32 | (617) ~ (leq(nbr_proc, nbr_proc) = all_282_6_99)
% 33.88/9.32 |
% 33.88/9.32 | Using (616) and (617) yields:
% 33.88/9.32 | (211) $false
% 33.88/9.32 |
% 33.88/9.32 |-The branch is then unsatisfiable
% 33.88/9.32 |-Branch two:
% 33.88/9.32 | (616) leq(nbr_proc, nbr_proc) = all_282_6_99
% 33.88/9.32 | (620) all_282_6_99 = 0
% 33.88/9.32 |
% 33.88/9.32 +-Applying beta-rule and splitting (548), into two cases.
% 33.88/9.32 |-Branch one:
% 33.88/9.32 | (621) ~ (index(ldr, all_0_9_9) = all_282_1_94)
% 33.88/9.32 |
% 33.88/9.32 | Using (605) and (621) yields:
% 33.88/9.32 | (211) $false
% 33.88/9.32 |
% 33.88/9.32 |-The branch is then unsatisfiable
% 33.88/9.32 |-Branch two:
% 33.88/9.32 | (605) index(ldr, all_0_9_9) = all_282_1_94
% 33.88/9.32 | (624) all_282_1_94 = all_0_9_9
% 33.88/9.32 |
% 33.88/9.32 +-Applying beta-rule and splitting (496), into two cases.
% 33.88/9.32 |-Branch one:
% 33.88/9.32 | (625) ~ (all_282_5_98 = elec_2)
% 33.88/9.32 |
% 33.88/9.33 | Equations (604) can reduce 625 to:
% 33.88/9.33 | (626) $false
% 33.88/9.33 |
% 33.88/9.33 |-The branch is then unsatisfiable
% 33.88/9.33 |-Branch two:
% 33.88/9.33 | (604) all_282_5_98 = elec_2
% 33.88/9.33 | (628) ~ (all_282_0_93 = norm) | ~ (all_282_1_94 = all_282_2_95) | ~ (all_282_3_96 = all_282_7_100) | ~ (all_282_4_97 = all_282_8_101) | ~ (all_282_6_99 = 0) | ~ (all_282_9_102 = 0)
% 33.88/9.33 |
% 33.88/9.33 +-Applying beta-rule and splitting (628), into two cases.
% 33.88/9.33 |-Branch one:
% 33.88/9.33 | (629) ~ (all_282_6_99 = 0)
% 33.88/9.33 |
% 33.88/9.33 | Equations (620) can reduce 629 to:
% 33.88/9.33 | (626) $false
% 33.88/9.33 |
% 33.88/9.33 |-The branch is then unsatisfiable
% 33.88/9.33 |-Branch two:
% 33.88/9.33 | (620) all_282_6_99 = 0
% 33.88/9.33 | (632) ~ (all_282_0_93 = norm) | ~ (all_282_1_94 = all_282_2_95) | ~ (all_282_3_96 = all_282_7_100) | ~ (all_282_4_97 = all_282_8_101) | ~ (all_282_9_102 = 0)
% 33.88/9.33 |
% 33.88/9.33 +-Applying beta-rule and splitting (632), into two cases.
% 33.88/9.33 |-Branch one:
% 33.88/9.33 | (633) ~ (all_282_9_102 = 0)
% 33.88/9.33 |
% 33.88/9.33 | Equations (602) can reduce 633 to:
% 33.88/9.33 | (626) $false
% 33.88/9.33 |
% 33.88/9.33 |-The branch is then unsatisfiable
% 33.88/9.33 |-Branch two:
% 33.88/9.33 | (602) all_282_9_102 = 0
% 33.88/9.33 | (636) ~ (all_282_0_93 = norm) | ~ (all_282_1_94 = all_282_2_95) | ~ (all_282_3_96 = all_282_7_100) | ~ (all_282_4_97 = all_282_8_101)
% 33.88/9.33 |
% 33.88/9.33 +-Applying beta-rule and splitting (636), into two cases.
% 33.88/9.33 |-Branch one:
% 33.88/9.33 | (637) ~ (all_282_0_93 = norm)
% 33.88/9.33 |
% 33.88/9.33 | Equations (611) can reduce 637 to:
% 33.88/9.33 | (626) $false
% 33.88/9.33 |
% 33.88/9.33 |-The branch is then unsatisfiable
% 33.88/9.33 |-Branch two:
% 33.88/9.33 | (611) all_282_0_93 = norm
% 33.88/9.33 | (640) ~ (all_282_1_94 = all_282_2_95) | ~ (all_282_3_96 = all_282_7_100) | ~ (all_282_4_97 = all_282_8_101)
% 33.88/9.33 |
% 33.88/9.33 +-Applying beta-rule and splitting (640), into two cases.
% 33.88/9.33 |-Branch one:
% 33.88/9.33 | (641) ~ (all_282_1_94 = all_282_2_95)
% 33.88/9.33 |
% 33.88/9.33 | Equations (624,566) can reduce 641 to:
% 33.88/9.33 | (626) $false
% 33.88/9.33 |
% 33.88/9.33 |-The branch is then unsatisfiable
% 33.88/9.33 |-Branch two:
% 33.88/9.33 | (643) all_282_1_94 = all_282_2_95
% 33.88/9.33 | (644) ~ (all_282_3_96 = all_282_7_100) | ~ (all_282_4_97 = all_282_8_101)
% 33.88/9.33 |
% 33.88/9.33 +-Applying beta-rule and splitting (644), into two cases.
% 33.88/9.33 |-Branch one:
% 33.88/9.33 | (645) ~ (all_282_3_96 = all_282_7_100)
% 33.88/9.33 |
% 33.88/9.33 | Equations (564,615) can reduce 645 to:
% 33.88/9.33 | (626) $false
% 33.88/9.33 |
% 33.88/9.33 |-The branch is then unsatisfiable
% 33.88/9.33 |-Branch two:
% 33.88/9.33 | (647) all_282_3_96 = all_282_7_100
% 33.88/9.33 | (648) ~ (all_282_4_97 = all_282_8_101)
% 33.88/9.33 |
% 33.88/9.33 | Equations (565,561) can reduce 648 to:
% 33.88/9.33 | (626) $false
% 33.88/9.33 |
% 33.88/9.33 |-The branch is then unsatisfiable
% 33.88/9.33 |-Branch two:
% 33.88/9.33 | (650) ~ (all_25_0_31 = all_0_21_21)
% 33.88/9.33 | (651) ~ (all_25_1_32 = elec_1) & ~ (all_25_1_32 = elec_2)
% 33.88/9.33 |
% 33.88/9.33 | Applying alpha-rule on (651) yields:
% 33.88/9.33 | (652) ~ (all_25_1_32 = elec_1)
% 33.88/9.33 | (653) ~ (all_25_1_32 = elec_2)
% 33.88/9.33 |
% 33.88/9.33 | Equations (421) can reduce 653 to:
% 33.88/9.33 | (626) $false
% 33.88/9.33 |
% 33.88/9.33 |-The branch is then unsatisfiable
% 33.88/9.33 |-Branch two:
% 33.88/9.33 | (237) ~ (elem(all_0_0_0, all_0_2_2) = 0)
% 33.88/9.33 | (656) all_0_0_0 = all_0_14_14
% 33.88/9.33 |
% 33.88/9.33 | Equations (656) can reduce 162 to:
% 33.88/9.33 | (626) $false
% 33.88/9.33 |
% 33.88/9.33 |-The branch is then unsatisfiable
% 33.88/9.33 |-Branch two:
% 33.88/9.33 | (658) ~ (leq(all_0_5_5, all_0_5_5) = 0)
% 33.88/9.33 | (659) ~ (s(all_0_5_5) = nbr_proc)
% 33.88/9.33 |
% 33.88/9.33 | Using (208) and (659) yields:
% 33.88/9.33 | (211) $false
% 33.88/9.33 |
% 33.88/9.33 |-The branch is then unsatisfiable
% 33.88/9.33 |-Branch two:
% 33.88/9.33 | (661) ~ (all_0_16_16 = nbr_proc)
% 33.88/9.33 | (662) ? [v0] : ( ~ (v0 = 0) & leq(all_0_16_16, nbr_proc) = v0)
% 33.88/9.33 |
% 33.88/9.33 | Instantiating (662) with all_76_0_146 yields:
% 33.88/9.33 | (663) ~ (all_76_0_146 = 0) & leq(all_0_16_16, nbr_proc) = all_76_0_146
% 33.88/9.33 |
% 33.88/9.33 | Applying alpha-rule on (663) yields:
% 33.88/9.33 | (664) ~ (all_76_0_146 = 0)
% 33.88/9.33 | (665) leq(all_0_16_16, nbr_proc) = all_76_0_146
% 33.88/9.33 |
% 33.88/9.33 | Instantiating formula (45) with all_0_16_16, nbr_proc, all_76_0_146, 0 and discharging atoms leq(all_0_16_16, nbr_proc) = all_76_0_146, leq(all_0_16_16, nbr_proc) = 0, yields:
% 33.88/9.33 | (666) all_76_0_146 = 0
% 33.88/9.33 |
% 33.88/9.33 | Equations (666) can reduce 664 to:
% 33.88/9.33 | (626) $false
% 33.88/9.33 |
% 33.88/9.33 |-The branch is then unsatisfiable
% 33.88/9.33 |-Branch two:
% 33.88/9.33 | (668) ~ (all_0_4_4 = nbr_proc)
% 33.88/9.33 | (669) ? [v0] : ( ~ (v0 = 0) & leq(all_0_4_4, nbr_proc) = v0)
% 33.88/9.33 |
% 33.88/9.33 | Instantiating (669) with all_45_0_180 yields:
% 33.88/9.33 | (670) ~ (all_45_0_180 = 0) & leq(all_0_4_4, nbr_proc) = all_45_0_180
% 33.88/9.33 |
% 33.88/9.34 | Applying alpha-rule on (670) yields:
% 33.88/9.34 | (671) ~ (all_45_0_180 = 0)
% 33.88/9.34 | (672) leq(all_0_4_4, nbr_proc) = all_45_0_180
% 33.88/9.34 |
% 33.88/9.34 | Instantiating formula (45) with all_0_4_4, nbr_proc, 0, all_45_0_180 and discharging atoms leq(all_0_4_4, nbr_proc) = all_45_0_180, leq(all_0_4_4, nbr_proc) = 0, yields:
% 33.88/9.34 | (673) all_45_0_180 = 0
% 33.88/9.34 |
% 33.88/9.34 | Equations (673) can reduce 671 to:
% 33.88/9.34 | (626) $false
% 33.88/9.34 |
% 33.88/9.34 |-The branch is then unsatisfiable
% 33.88/9.34 |-Branch two:
% 33.88/9.34 | (210) ~ (elem(all_0_3_3, all_0_2_2) = 0)
% 33.88/9.34 | (676) all_0_3_3 = all_0_14_14
% 33.88/9.34 |
% 33.88/9.34 | Equations (676) can reduce 161 to:
% 33.88/9.34 | (626) $false
% 33.88/9.34 |
% 33.88/9.34 |-The branch is then unsatisfiable
% 33.88/9.34 % SZS output end Proof for theBenchmark
% 33.88/9.34
% 33.88/9.34 8720ms
%------------------------------------------------------------------------------