%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SWV461+1 : TPTP v8.1.2. Released v4.0.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n031.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Thu Aug 31 22:56:34 EDT 2023 % Result : Theorem 17.98s 3.27s % Output : Proof 24.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SWV461+1 : TPTP v8.1.2. Released v4.0.0. % 0.12/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.14/0.34 % Computer : n031.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Tue Aug 29 07:48:26 EDT 2023 % 0.14/0.34 % CPUTime : % 0.21/0.67 ________ _____ % 0.21/0.67 ___ __ \_________(_)________________________________ % 0.21/0.67 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.21/0.67 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.21/0.67 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.21/0.67 % 0.21/0.67 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.21/0.67 (2023-06-19) % 0.21/0.67 % 0.21/0.67 (c) Philipp Rümmer, 2009-2023 % 0.21/0.67 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.21/0.67 Amanda Stjerna. % 0.21/0.67 Free software under BSD-3-Clause. % 0.21/0.67 % 0.21/0.67 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.21/0.67 % 0.21/0.67 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.66/0.69 Running up to 7 provers in parallel. % 0.66/0.71 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.66/0.71 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.66/0.71 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.66/0.71 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.66/0.71 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.66/0.71 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 0.66/0.71 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 4.48/1.39 Prover 1: Preprocessing ... % 4.48/1.39 Prover 4: Preprocessing ... % 4.58/1.44 Prover 0: Preprocessing ... % 4.58/1.44 Prover 2: Preprocessing ... % 4.58/1.44 Prover 5: Preprocessing ... % 4.58/1.44 Prover 6: Preprocessing ... % 4.58/1.44 Prover 3: Preprocessing ... % 11.84/2.40 Prover 1: Constructing countermodel ... % 11.84/2.41 Prover 3: Constructing countermodel ... % 11.84/2.42 Prover 6: Proving ... % 13.31/2.65 Prover 5: Proving ... % 13.31/2.66 Prover 2: Proving ... % 15.70/2.94 Prover 4: Constructing countermodel ... % 16.29/3.04 Prover 0: Proving ... % 17.98/3.26 Prover 3: proved (2555ms) % 17.98/3.26 % 17.98/3.27 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 17.98/3.27 % 17.98/3.27 Prover 0: stopped % 17.98/3.27 Prover 6: stopped % 17.98/3.28 Prover 2: stopped % 17.98/3.30 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 17.98/3.30 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 17.98/3.30 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 17.98/3.30 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 17.98/3.30 Prover 5: stopped % 17.98/3.31 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 19.31/3.42 Prover 8: Preprocessing ... % 19.31/3.44 Prover 7: Preprocessing ... % 19.31/3.44 Prover 13: Preprocessing ... % 19.31/3.45 Prover 11: Preprocessing ... % 19.31/3.47 Prover 10: Preprocessing ... % 20.93/3.69 Prover 10: Warning: ignoring some quantifiers % 20.93/3.70 Prover 1: Found proof (size 209) % 20.93/3.70 Prover 1: proved (3000ms) % 21.65/3.70 Prover 4: stopped % 21.65/3.71 Prover 8: Warning: ignoring some quantifiers % 21.65/3.72 Prover 8: Constructing countermodel ... % 21.65/3.72 Prover 10: Constructing countermodel ... % 21.65/3.74 Prover 8: stopped % 21.65/3.74 Prover 10: stopped % 21.65/3.76 Prover 13: Warning: ignoring some quantifiers % 21.65/3.78 Prover 13: Constructing countermodel ... % 22.25/3.79 Prover 13: stopped % 22.77/3.96 Prover 7: Warning: ignoring some quantifiers % 23.26/3.99 Prover 7: Constructing countermodel ... % 23.26/4.00 Prover 11: Constructing countermodel ... % 23.26/4.00 Prover 7: stopped % 23.26/4.00 Prover 11: stopped % 23.26/4.01 % 23.26/4.01 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 23.26/4.01 % 23.26/4.06 % SZS output start Proof for theBenchmark % 23.26/4.07 Assumptions after simplification: % 23.26/4.07 --------------------------------- % 23.26/4.07 % 23.26/4.07 (axiom_01) % 23.74/4.09 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (host(v1) = v2) | ~ (host(v0) = % 23.74/4.09 v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ( ~ (v3 = v2) & s(v2) = v3 & % 23.74/4.09 $i(v3))) % 23.74/4.09 % 23.74/4.09 (axiom_02) % 23.74/4.09 $i(zero) & ? [v0: $i] : (s(zero) = v0 & $i(v0) & ! [v1: $i] : ! [v2: $i] : % 23.74/4.09 ( ~ (host(v1) = v2) | ~ $i(v1) | leq(v0, v2) = 0)) % 23.74/4.09 % 23.74/4.09 (axiom_03) % 23.74/4.09 $i(nbr_proc) & $i(zero) & ? [v0: $i] : (leq(v0, nbr_proc) = 0 & s(zero) = v0 % 23.74/4.09 & $i(v0)) % 23.74/4.09 % 23.74/4.09 (axiom_04) % 23.74/4.09 $i(nbr_proc) & ! [v0: $i] : ! [v1: $i] : ( ~ (host(v0) = v1) | ~ $i(v0) | % 23.74/4.09 leq(v1, nbr_proc) = 0) % 23.74/4.09 % 23.74/4.09 (axiom_11) % 23.74/4.10 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (m_Halt(v2) = v3) % 23.74/4.10 | ~ (m_Ack(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0)) % 23.74/4.10 % 23.74/4.10 (axiom_47) % 23.74/4.10 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0 % 23.74/4.10 | ~ (snoc(v2, v1) = v3) | ~ (elem(v0, v3) = v4) | ~ $i(v2) | ~ $i(v1) | % 23.74/4.10 ~ $i(v0) | ( ~ (v1 = v0) & ? [v5: int] : ( ~ (v5 = 0) & elem(v0, v2) = % 23.74/4.10 v5))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 % 23.74/4.10 | ~ (snoc(v2, v1) = v3) | ~ (elem(v0, v3) = 0) | ~ $i(v2) | ~ $i(v1) | % 23.74/4.10 ~ $i(v0) | elem(v0, v2) = 0) % 23.74/4.10 % 23.74/4.10 (axiom_49) % 23.74/4.10 ! [v0: $i] : ! [v1: $i] : ( ~ (m_Halt(v0) = v1) | ~ $i(v0) | pidMsg(v1) = % 23.74/4.10 v0) % 23.74/4.10 % 23.74/4.10 (axiom_50) % 23.74/4.10 ! [v0: $i] : ! [v1: $i] : ( ~ (m_Down(v0) = v1) | ~ $i(v0) | pidMsg(v1) = % 23.74/4.10 v0) % 23.74/4.10 % 23.74/4.10 (axiom_61) % 23.74/4.10 ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (leq(v0, v1) = 0) | ~ $i(v1) | ~ % 23.74/4.10 $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & leq(v1, v0) = v2)) & ! [v0: $i] : ! % 23.74/4.10 [v1: int] : (v1 = 0 | ~ (leq(v0, v0) = v1) | ~ $i(v0)) % 23.74/4.10 % 23.74/4.10 (axiom_64) % 23.74/4.11 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (leq(v0, % 23.74/4.11 v2) = v3) | ~ (s(v1) = v2) | ~ $i(v1) | ~ $i(v0) | ( ~ (v2 = v0) & ? % 23.74/4.11 [v4: int] : ( ~ (v4 = 0) & leq(v0, v1) = v4))) & ! [v0: $i] : ! [v1: $i] % 23.74/4.11 : ! [v2: $i] : (v2 = v0 | ~ (leq(v0, v2) = 0) | ~ (s(v1) = v2) | ~ $i(v1) % 23.74/4.11 | ~ $i(v0) | leq(v0, v1) = 0) % 23.74/4.11 % 23.74/4.11 (conj) % 23.89/4.13 $i(down) & $i(ldr) & $i(elid) & $i(status) & $i(pendack) & $i(q_nil) & % 23.89/4.13 $i(alive) & $i(norm) & $i(elec_1) & $i(elec_2) & $i(nbr_proc) & $i(zero) & % 23.89/4.13 $i(pids) & ? [v0: $i] : (s(zero) = v0 & $i(v0) & ? [v1: $i] : ? [v2: $i] : % 23.89/4.13 ? [v3: int] : ? [v4: int] : ? [v5: $i] : ? [v6: $i] : ( ~ (v4 = 0) & ~ % 23.89/4.13 (v3 = 0) & m_Halt(v1) = v6 & leq(nbr_proc, v0) = v4 & s(v0) = v5 & % 23.89/4.13 host(v2) = v0 & host(v1) = v0 & queue(v0) = q_nil & setIn(v1, pids) = v3 & % 23.89/4.13 $i(v6) & $i(v5) & $i(v2) & $i(v1) & ! [v7: $i] : ! [v8: $i] : ! [v9: % 23.89/4.13 $i] : ! [v10: $i] : ! [v11: $i] : ! [v12: $i] : ! [v13: int] : ! % 23.89/4.13 [v14: $i] : ! [v15: $i] : ! [v16: $i] : (v13 = 0 | ~ (index(pendack, % 23.89/4.13 v10) = v11) | ~ (m_Halt(v9) = v14) | ~ (leq(v11, v12) = v13) | ~ % 23.89/4.13 (host(v9) = v10) | ~ (host(v8) = v15) | ~ (host(v7) = v12) | ~ % 23.89/4.13 (queue(v15) = v16) | ~ (elem(v14, v16) = 0) | ~ $i(v9) | ~ $i(v8) | % 23.89/4.13 ~ $i(v7) | ? [v17: any] : ? [v18: $i] : ? [v19: any] : ? [v20: $i] : % 23.89/4.13 ? [v21: $i] : (index(ldr, v12) = v20 & index(status, v12) = v21 & % 23.89/4.13 index(status, v10) = v18 & setIn(v9, alive) = v17 & setIn(v7, alive) = % 23.89/4.13 v19 & $i(v21) & $i(v20) & $i(v18) & ( ~ (v21 = norm) | ~ (v20 = v12) % 23.89/4.13 | ~ (v19 = 0) | ~ (v18 = elec_2) | ~ (v17 = 0)))) & ! [v7: $i] : % 23.89/4.13 ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ! [v12: $i] : % 23.89/4.13 ! [v13: $i] : ! [v14: $i] : ! [v15: $i] : ( ~ (m_Down(v9) = v11) | ~ % 23.89/4.13 (m_Down(v8) = v13) | ~ (host(v10) = nbr_proc) | ~ (host(v7) = v14) | % 23.89/4.13 ~ (queue(v14) = v15) | ~ (queue(nbr_proc) = v12) | ~ (elem(v13, v15) = % 23.89/4.13 0) | ~ (elem(v11, v12) = 0) | ~ $i(v10) | ~ $i(v9) | ~ $i(v8) | ~ % 23.89/4.13 $i(v7) | ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: $i] : ? % 23.89/4.13 [v20: any] : (index(down, nbr_proc) = v16 & index(status, nbr_proc) = % 23.89/4.13 v19 & host(v9) = v17 & host(v8) = v18 & setIn(v7, alive) = v20 & % 23.89/4.13 $i(v19) & $i(v18) & $i(v17) & $i(v16) & ( ~ (v20 = 0) | ~ (v19 = % 23.89/4.13 elec_1) | ~ (v18 = nbr_proc) | ? [v21: $i] : ? [v22: int] : ? % 23.89/4.13 [v23: int] : ( ~ (v23 = 0) & ~ (v22 = 0) & ~ (v21 = v17) & leq(v0, % 23.89/4.13 v21) = 0 & leq(nbr_proc, v21) = v22 & setIn(v21, v16) = v23 & % 23.89/4.13 $i(v21))))) & ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: % 23.89/4.13 $i] : ! [v11: $i] : ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ( ~ % 23.89/4.13 (m_Down(v9) = v11) | ~ (m_Ack(v10, v8) = v14) | ~ (host(v10) = v12) | % 23.89/4.13 ~ (queue(v12) = v13) | ~ (elem(v14, v13) = 0) | ~ (elem(v11, v13) = 0) % 23.89/4.13 | ~ (setIn(v7, alive) = 0) | ~ $i(v10) | ~ $i(v9) | ~ $i(v8) | ~ % 23.89/4.13 $i(v7) | ? [v15: any] : ? [v16: $i] : ? [v17: $i] : ? [v18: any] : % 23.89/4.13 ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] % 23.89/4.13 : ? [v24: $i] : (index(ldr, v22) = v23 & index(status, v22) = v24 & % 23.89/4.13 index(status, v12) = v19 & index(pendack, v12) = v16 & leq(nbr_proc, % 23.89/4.13 v17) = v18 & s(v16) = v17 & host(v9) = v21 & host(v8) = v20 & % 23.89/4.13 host(v7) = v22 & setIn(v10, alive) = v15 & $i(v24) & $i(v23) & $i(v22) % 23.89/4.13 & $i(v21) & $i(v20) & $i(v19) & $i(v17) & $i(v16) & ( ~ (v24 = norm) | % 23.89/4.13 ~ (v23 = v22) | ~ (v21 = v17) | ~ (v20 = v16) | ~ (v19 = elec_2) % 23.89/4.13 | ~ (v18 = 0) | ~ (v15 = 0)))) & ! [v7: $i] : ! [v8: $i] : ! % 23.89/4.13 [v9: $i] : ! [v10: $i] : ! [v11: $i] : ! [v12: int] : (v12 = 0 | ~ % 23.89/4.13 (index(pendack, v10) = v11) | ~ (leq(v11, v9) = v12) | ~ (host(v8) = % 23.89/4.13 v10) | ~ (host(v7) = v9) | ~ $i(v8) | ~ $i(v7) | ? [v13: any] : ? % 23.89/4.13 [v14: any] : ? [v15: any] : ? [v16: $i] : ? [v17: $i] : % 23.89/4.13 (index(status, v10) = v17 & index(status, v9) = v16 & leq(v9, v10) = v13 % 23.89/4.13 & setIn(v8, alive) = v15 & setIn(v7, alive) = v14 & $i(v17) & $i(v16) % 23.89/4.13 & ( ~ (v17 = elec_2) | ~ (v16 = elec_2) | ~ (v15 = 0) | ~ (v14 = 0) % 23.89/4.13 | v13 = 0))) & ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: % 23.89/4.13 $i] : ! [v11: $i] : ! [v12: int] : (v12 = 0 | ~ (index(pendack, v9) = % 23.89/4.13 v11) | ~ (leq(v10, v11) = v12) | ~ (host(v8) = v9) | ~ (host(v7) = % 23.89/4.13 v10) | ~ $i(v8) | ~ $i(v7) | ? [v13: any] : ? [v14: $i] : ? [v15: % 23.89/4.13 $i] : ? [v16: any] : (m_Ack(v8, v7) = v14 & queue(v9) = v15 & % 23.89/4.13 elem(v14, v15) = v16 & setIn(v8, alive) = v13 & $i(v15) & $i(v14) & ( % 23.89/4.13 ~ (v16 = 0) | ~ (v13 = 0)))) & ! [v7: $i] : ! [v8: $i] : ! [v9: % 23.89/4.13 $i] : ! [v10: $i] : ! [v11: $i] : ! [v12: $i] : ( ~ (index(pendack, % 23.89/4.13 v10) = v12) | ~ (index(pendack, v9) = v11) | ~ (leq(v11, v12) = 0) % 23.89/4.13 | ~ (host(v8) = v10) | ~ (host(v7) = v9) | ~ $i(v8) | ~ $i(v7) | ? % 23.89/4.13 [v13: any] : ? [v14: any] : ? [v15: any] : ? [v16: $i] : ? [v17: $i] % 23.89/4.13 : (index(status, v10) = v17 & index(status, v9) = v16 & leq(v9, v10) = % 23.89/4.13 v13 & setIn(v8, alive) = v15 & setIn(v7, alive) = v14 & $i(v17) & % 23.89/4.13 $i(v16) & ( ~ (v17 = elec_2) | ~ (v16 = elec_2) | ~ (v15 = 0) | ~ % 23.89/4.13 (v14 = 0) | v13 = 0))) & ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : % 23.89/4.13 ! [v10: $i] : ! [v11: $i] : ! [v12: $i] : ( ~ (m_Down(v8) = v10) | ~ % 23.89/4.13 (host(v9) = v11) | ~ (queue(v11) = v12) | ~ (elem(v10, v12) = 0) | ~ % 23.89/4.13 (setIn(v7, alive) = 0) | ~ $i(v9) | ~ $i(v8) | ~ $i(v7) | ? [v13: % 23.89/4.13 any] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : % 23.89/4.13 (index(ldr, v15) = v16 & index(status, v15) = v17 & host(v8) = v14 & % 23.89/4.13 host(v7) = v15 & setIn(v9, alive) = v13 & $i(v17) & $i(v16) & $i(v15) % 23.89/4.13 & $i(v14) & ( ~ (v17 = norm) | ~ (v16 = v14) | ~ (v15 = v14) | ~ % 23.89/4.13 (v13 = 0)))) & ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: % 23.89/4.13 $i] : ! [v11: $i] : ! [v12: $i] : ( ~ (m_Ack(v9, v7) = v10) | ~ % 23.89/4.13 (host(v8) = v11) | ~ (queue(v11) = v12) | ~ (elem(v10, v12) = 0) | ~ % 23.89/4.13 $i(v9) | ~ $i(v8) | ~ $i(v7) | ? [v13: $i] : ? [v14: $i] : ? [v15: % 23.89/4.13 int] : ( ~ (v15 = 0) & leq(v13, v14) = v15 & host(v9) = v14 & host(v7) % 23.89/4.13 = v13 & $i(v14) & $i(v13))) & ! [v7: $i] : ! [v8: $i] : ! [v9: $i] % 23.89/4.13 : ! [v10: $i] : ! [v11: $i] : ! [v12: $i] : ( ~ (m_Ack(v7, v8) = v11) | % 23.89/4.13 ~ (host(v7) = v10) | ~ (queue(v10) = v12) | ~ (elem(v11, v12) = 0) | % 23.89/4.13 ~ (setIn(v9, alive) = 0) | ~ $i(v9) | ~ $i(v8) | ~ $i(v7) | ? [v13: % 23.89/4.13 any] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : % 23.89/4.13 (index(status, v14) = v17 & index(status, v10) = v16 & host(v9) = v14 & % 23.89/4.13 host(v8) = v15 & setIn(v7, alive) = v13 & $i(v17) & $i(v16) & $i(v15) % 23.89/4.13 & $i(v14) & ( ~ (v17 = elec_2) | ~ (v16 = elec_2) | ~ (v15 = v14) | % 23.89/4.13 ~ (v13 = 0)))) & ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: % 23.89/4.13 $i] : ! [v11: $i] : ( ~ (m_Ldr(v8) = v9) | ~ (host(v7) = v10) | ~ % 23.89/4.13 (queue(v10) = v11) | ~ (elem(v9, v11) = 0) | ~ $i(v8) | ~ $i(v7) | ? % 23.89/4.13 [v12: $i] : ? [v13: int] : ( ~ (v13 = 0) & leq(v10, v12) = v13 & % 23.89/4.13 host(v8) = v12 & $i(v12))) & ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : % 23.89/4.13 ! [v10: $i] : ! [v11: $i] : ( ~ (m_Down(v8) = v9) | ~ (host(v7) = v10) % 23.89/4.13 | ~ (queue(v10) = v11) | ~ (elem(v9, v11) = 0) | ~ $i(v8) | ~ $i(v7) % 23.89/4.13 | ? [v12: $i] : ( ~ (v12 = v10) & host(v8) = v12 & $i(v12))) & ! [v7: % 23.89/4.13 $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~ % 23.89/4.13 (m_Halt(v8) = v9) | ~ (host(v7) = v10) | ~ (queue(v10) = v11) | ~ % 23.89/4.13 (elem(v9, v11) = 0) | ~ $i(v8) | ~ $i(v7) | ? [v12: $i] : ? [v13: % 23.89/4.13 int] : ( ~ (v13 = 0) & leq(v10, v12) = v13 & host(v8) = v12 & % 23.89/4.13 $i(v12))) & ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : % 23.89/4.13 ! [v11: $i] : ( ~ (m_Ack(v8, v7) = v10) | ~ (host(v8) = v9) | ~ % 23.89/4.13 (queue(v9) = v11) | ~ (elem(v10, v11) = 0) | ~ $i(v8) | ~ $i(v7) | ? % 23.89/4.13 [v12: any] : ? [v13: $i] : (index(status, v9) = v13 & setIn(v8, alive) % 23.89/4.13 = v12 & $i(v13) & ( ~ (v13 = elec_1) | ~ (v12 = 0)))) & ! [v7: $i] : % 23.89/4.13 ! [v8: $i] : (v8 = v7 | ~ (setIn(v8, alive) = 0) | ~ (setIn(v7, alive) % 23.89/4.13 = 0) | ~ $i(v8) | ~ $i(v7) | ? [v9: $i] : ? [v10: $i] : ( ~ (v10 = % 23.89/4.13 v9) & host(v8) = v9 & host(v7) = v10 & $i(v10) & $i(v9))) & ! [v7: % 23.89/4.13 $i] : ! [v8: int] : (v8 = 0 | ~ (leq(v7, v1) = v8) | ~ $i(v7) | ? % 23.89/4.13 [v9: $i] : ( ~ (v9 = v0) & host(v7) = v9 & $i(v9))) & ! [v7: $i] : ( ~ % 23.89/4.13 (setIn(v7, alive) = 0) | ~ $i(v7) | ? [v8: $i] : ? [v9: $i] : ? % 23.89/4.13 [v10: $i] : (index(elid, v8) = v10 & index(status, v8) = v9 & host(v7) = % 23.89/4.13 v8 & $i(v10) & $i(v9) & $i(v8) & (v10 = v7 | ( ~ (v9 = elec_1) & ~ % 23.89/4.13 (v9 = elec_2))))) & ! [v7: $i] : ( ~ (setIn(v7, alive) = 0) | ~ % 23.89/4.13 $i(v7) | ? [v8: $i] : ( ~ (v8 = v0) & host(v7) = v8 & $i(v8))) & ? % 23.89/4.13 [v7: $i] : ? [v8: $i] : ? [v9: any] : ? [v10: $i] : ? [v11: $i] : ( ~ % 23.89/4.13 (v8 = v0) & index(ldr, v8) = v10 & index(status, v8) = v11 & host(v7) = % 23.89/4.13 v8 & setIn(v7, alive) = v9 & $i(v11) & $i(v10) & $i(v8) & $i(v7) & ? % 23.89/4.13 [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15: any] : ? [v16: $i] : % 23.89/4.13 ? [v17: $i] : ? [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] % 23.89/4.13 : (v11 = norm & v10 = v8 & ~ (v5 = v0) & index(status, v5) = elec_2 & % 23.89/4.13 index(pendack, v5) = v16 & snoc(v19, v6) = v20 & m_Down(v13) = v18 & % 23.89/4.13 leq(nbr_proc, v17) = 0 & s(v16) = v17 & m_Ack(v14, v12) = v21 & % 23.89/4.13 host(v14) = v5 & host(v13) = v17 & host(v12) = v16 & queue(v5) = v19 & % 23.89/4.13 elem(v21, v20) = 0 & elem(v18, v20) = 0 & setIn(v14, alive) = v15 & % 23.89/4.13 $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v14) & % 23.89/4.13 $i(v13) & $i(v12) & (v15 = 0 | v14 = v1) & (v9 = 0 | v7 = v1))))) % 23.89/4.13 % 23.89/4.13 (function-axioms) % 23.89/4.14 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 23.89/4.14 (index(v3, v2) = v1) | ~ (index(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] % 23.89/4.14 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (snoc(v3, v2) = v1) | ~ (snoc(v3, % 23.89/4.14 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 % 23.89/4.14 = v0 | ~ (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0)) & ! [v0: % 23.89/4.14 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 23.89/4.14 : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0)) & ! [v0: $i] : ! % 23.89/4.14 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (m_Ack(v3, v2) = v1) | ~ % 23.89/4.14 (m_Ack(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 23.89/4.14 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (elem(v3, v2) % 23.89/4.14 = v1) | ~ (elem(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 23.89/4.14 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (setIn(v3, % 23.89/4.14 v2) = v1) | ~ (setIn(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! % 23.89/4.14 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (ordered(v2) = v1) | ~ % 23.89/4.14 (ordered(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | % 23.89/4.14 ~ (pidMsg(v2) = v1) | ~ (pidMsg(v2) = v0)) & ! [v0: MultipleValueBool] : % 23.89/4.14 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (pidElem(v2) = v1) | % 23.89/4.14 ~ (pidElem(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | % 23.89/4.14 ~ (init(v2) = v1) | ~ (init(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! % 23.89/4.14 [v2: $i] : (v1 = v0 | ~ (last(v2) = v1) | ~ (last(v2) = v0)) & ! [v0: $i] : % 23.89/4.14 ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (tail(v2) = v1) | ~ (tail(v2) = % 23.89/4.14 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (head(v2) = % 23.89/4.14 v1) | ~ (head(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 % 23.89/4.14 = v0 | ~ (m_NormQ(v2) = v1) | ~ (m_NormQ(v2) = v0)) & ! [v0: $i] : ! % 23.89/4.14 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (m_Ldr(v2) = v1) | ~ (m_Ldr(v2) = v0)) % 23.89/4.14 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (m_NotNorm(v2) = v1) % 23.89/4.14 | ~ (m_NotNorm(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = % 23.89/4.14 v0 | ~ (m_Down(v2) = v1) | ~ (m_Down(v2) = v0)) & ! [v0: $i] : ! [v1: % 23.89/4.14 $i] : ! [v2: $i] : (v1 = v0 | ~ (m_Halt(v2) = v1) | ~ (m_Halt(v2) = v0)) % 23.89/4.14 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (s(v2) = v1) | ~ % 23.89/4.14 (s(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 23.89/4.14 (host(v2) = v1) | ~ (host(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 23.89/4.14 $i] : (v1 = v0 | ~ (queue(v2) = v1) | ~ (queue(v2) = v0)) % 23.89/4.14 % 23.89/4.14 Further assumptions not needed in the proof: % 23.89/4.14 -------------------------------------------- % 23.89/4.14 axiom, axiom_05, axiom_06, axiom_07, axiom_08, axiom_09, axiom_10, axiom_12, % 23.89/4.14 axiom_13, axiom_14, axiom_15, axiom_16, axiom_17, axiom_18, axiom_19, axiom_20, % 23.89/4.14 axiom_21, axiom_22, axiom_23, axiom_24, axiom_25, axiom_26, axiom_27, axiom_28, % 23.89/4.14 axiom_29, axiom_30, axiom_31, axiom_32, axiom_33, axiom_34, axiom_35, axiom_36, % 23.89/4.14 axiom_37, axiom_38, axiom_39, axiom_40, axiom_41, axiom_42, axiom_43, axiom_44, % 23.89/4.14 axiom_45, axiom_46, axiom_48, axiom_51, axiom_52, axiom_53, axiom_54, axiom_55, % 23.89/4.14 axiom_56, axiom_57, axiom_58, axiom_59, axiom_60, axiom_62, axiom_63, axiom_65 % 23.89/4.14 % 23.89/4.14 Those formulas are unsatisfiable: % 23.89/4.14 --------------------------------- % 23.89/4.14 % 23.89/4.14 Begin of proof % 23.89/4.14 | % 23.89/4.14 | ALPHA: (axiom_02) implies: % 23.89/4.14 | (1) ? [v0: $i] : (s(zero) = v0 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ % 23.89/4.14 | (host(v1) = v2) | ~ $i(v1) | leq(v0, v2) = 0)) % 23.89/4.14 | % 23.89/4.14 | ALPHA: (axiom_03) implies: % 23.89/4.14 | (2) ? [v0: $i] : (leq(v0, nbr_proc) = 0 & s(zero) = v0 & $i(v0)) % 23.89/4.14 | % 23.89/4.14 | ALPHA: (axiom_04) implies: % 23.89/4.14 | (3) ! [v0: $i] : ! [v1: $i] : ( ~ (host(v0) = v1) | ~ $i(v0) | leq(v1, % 23.89/4.14 | nbr_proc) = 0) % 23.89/4.14 | % 23.89/4.14 | ALPHA: (axiom_47) implies: % 23.89/4.14 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 23.89/4.14 | (snoc(v2, v1) = v3) | ~ (elem(v0, v3) = 0) | ~ $i(v2) | ~ $i(v1) | % 23.89/4.14 | ~ $i(v0) | elem(v0, v2) = 0) % 23.89/4.14 | % 23.89/4.14 | ALPHA: (axiom_61) implies: % 23.89/4.14 | (5) ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (leq(v0, v1) = 0) | ~ $i(v1) % 23.89/4.14 | | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & leq(v1, v0) = v2)) % 23.89/4.14 | % 23.89/4.14 | ALPHA: (axiom_64) implies: % 23.89/4.14 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 23.89/4.14 | (leq(v0, v2) = v3) | ~ (s(v1) = v2) | ~ $i(v1) | ~ $i(v0) | ( ~ % 23.89/4.14 | (v2 = v0) & ? [v4: int] : ( ~ (v4 = 0) & leq(v0, v1) = v4))) % 23.89/4.14 | % 23.89/4.14 | ALPHA: (conj) implies: % 23.89/4.14 | (7) $i(zero) % 23.89/4.14 | (8) $i(nbr_proc) % 23.89/4.16 | (9) ? [v0: $i] : (s(zero) = v0 & $i(v0) & ? [v1: $i] : ? [v2: $i] : ? % 23.89/4.16 | [v3: int] : ? [v4: int] : ? [v5: $i] : ? [v6: $i] : ( ~ (v4 = 0) & % 23.89/4.16 | ~ (v3 = 0) & m_Halt(v1) = v6 & leq(nbr_proc, v0) = v4 & s(v0) = v5 % 23.89/4.16 | & host(v2) = v0 & host(v1) = v0 & queue(v0) = q_nil & setIn(v1, % 23.89/4.16 | pids) = v3 & $i(v6) & $i(v5) & $i(v2) & $i(v1) & ! [v7: $i] : ! % 23.89/4.16 | [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ! [v12: $i] % 23.89/4.16 | : ! [v13: int] : ! [v14: $i] : ! [v15: $i] : ! [v16: $i] : (v13 % 23.89/4.16 | = 0 | ~ (index(pendack, v10) = v11) | ~ (m_Halt(v9) = v14) | ~ % 23.89/4.16 | (leq(v11, v12) = v13) | ~ (host(v9) = v10) | ~ (host(v8) = v15) % 23.89/4.16 | | ~ (host(v7) = v12) | ~ (queue(v15) = v16) | ~ (elem(v14, % 23.89/4.16 | v16) = 0) | ~ $i(v9) | ~ $i(v8) | ~ $i(v7) | ? [v17: any] % 23.89/4.16 | : ? [v18: $i] : ? [v19: any] : ? [v20: $i] : ? [v21: $i] : % 23.89/4.16 | (index(ldr, v12) = v20 & index(status, v12) = v21 & index(status, % 23.89/4.16 | v10) = v18 & setIn(v9, alive) = v17 & setIn(v7, alive) = v19 % 23.89/4.16 | & $i(v21) & $i(v20) & $i(v18) & ( ~ (v21 = norm) | ~ (v20 = % 23.89/4.16 | v12) | ~ (v19 = 0) | ~ (v18 = elec_2) | ~ (v17 = 0)))) & % 23.89/4.16 | ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: % 23.89/4.16 | $i] : ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ! [v15: $i] : % 23.89/4.16 | ( ~ (m_Down(v9) = v11) | ~ (m_Down(v8) = v13) | ~ (host(v10) = % 23.89/4.16 | nbr_proc) | ~ (host(v7) = v14) | ~ (queue(v14) = v15) | ~ % 23.89/4.16 | (queue(nbr_proc) = v12) | ~ (elem(v13, v15) = 0) | ~ (elem(v11, % 23.89/4.16 | v12) = 0) | ~ $i(v10) | ~ $i(v9) | ~ $i(v8) | ~ $i(v7) | % 23.89/4.16 | ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: $i] : ? % 23.89/4.16 | [v20: any] : (index(down, nbr_proc) = v16 & index(status, % 23.89/4.16 | nbr_proc) = v19 & host(v9) = v17 & host(v8) = v18 & setIn(v7, % 23.89/4.16 | alive) = v20 & $i(v19) & $i(v18) & $i(v17) & $i(v16) & ( ~ % 23.89/4.16 | (v20 = 0) | ~ (v19 = elec_1) | ~ (v18 = nbr_proc) | ? % 23.89/4.16 | [v21: $i] : ? [v22: int] : ? [v23: int] : ( ~ (v23 = 0) & % 23.89/4.16 | ~ (v22 = 0) & ~ (v21 = v17) & leq(v0, v21) = 0 & % 23.89/4.16 | leq(nbr_proc, v21) = v22 & setIn(v21, v16) = v23 & % 23.89/4.16 | $i(v21))))) & ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! % 23.89/4.16 | [v10: $i] : ! [v11: $i] : ! [v12: $i] : ! [v13: $i] : ! [v14: % 23.89/4.16 | $i] : ( ~ (m_Down(v9) = v11) | ~ (m_Ack(v10, v8) = v14) | ~ % 23.89/4.16 | (host(v10) = v12) | ~ (queue(v12) = v13) | ~ (elem(v14, v13) = % 23.89/4.16 | 0) | ~ (elem(v11, v13) = 0) | ~ (setIn(v7, alive) = 0) | ~ % 23.89/4.16 | $i(v10) | ~ $i(v9) | ~ $i(v8) | ~ $i(v7) | ? [v15: any] : ? % 23.89/4.16 | [v16: $i] : ? [v17: $i] : ? [v18: any] : ? [v19: $i] : ? % 23.89/4.16 | [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ? [v24: % 23.89/4.16 | $i] : (index(ldr, v22) = v23 & index(status, v22) = v24 & % 23.89/4.16 | index(status, v12) = v19 & index(pendack, v12) = v16 & % 23.89/4.16 | leq(nbr_proc, v17) = v18 & s(v16) = v17 & host(v9) = v21 & % 23.89/4.16 | host(v8) = v20 & host(v7) = v22 & setIn(v10, alive) = v15 & % 23.89/4.16 | $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & % 23.89/4.16 | $i(v17) & $i(v16) & ( ~ (v24 = norm) | ~ (v23 = v22) | ~ (v21 % 23.89/4.16 | = v17) | ~ (v20 = v16) | ~ (v19 = elec_2) | ~ (v18 = 0) % 23.89/4.16 | | ~ (v15 = 0)))) & ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : % 23.89/4.16 | ! [v10: $i] : ! [v11: $i] : ! [v12: int] : (v12 = 0 | ~ % 23.89/4.16 | (index(pendack, v10) = v11) | ~ (leq(v11, v9) = v12) | ~ % 23.89/4.16 | (host(v8) = v10) | ~ (host(v7) = v9) | ~ $i(v8) | ~ $i(v7) | % 23.89/4.16 | ? [v13: any] : ? [v14: any] : ? [v15: any] : ? [v16: $i] : ? % 23.89/4.16 | [v17: $i] : (index(status, v10) = v17 & index(status, v9) = v16 & % 23.89/4.16 | leq(v9, v10) = v13 & setIn(v8, alive) = v15 & setIn(v7, alive) % 23.89/4.16 | = v14 & $i(v17) & $i(v16) & ( ~ (v17 = elec_2) | ~ (v16 = % 23.89/4.16 | elec_2) | ~ (v15 = 0) | ~ (v14 = 0) | v13 = 0))) & ! % 23.89/4.16 | [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] % 23.89/4.16 | : ! [v12: int] : (v12 = 0 | ~ (index(pendack, v9) = v11) | ~ % 23.89/4.16 | (leq(v10, v11) = v12) | ~ (host(v8) = v9) | ~ (host(v7) = v10) % 23.89/4.16 | | ~ $i(v8) | ~ $i(v7) | ? [v13: any] : ? [v14: $i] : ? [v15: % 23.89/4.16 | $i] : ? [v16: any] : (m_Ack(v8, v7) = v14 & queue(v9) = v15 & % 23.89/4.16 | elem(v14, v15) = v16 & setIn(v8, alive) = v13 & $i(v15) & % 23.89/4.16 | $i(v14) & ( ~ (v16 = 0) | ~ (v13 = 0)))) & ! [v7: $i] : ! % 23.89/4.16 | [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ! [v12: $i] % 23.89/4.16 | : ( ~ (index(pendack, v10) = v12) | ~ (index(pendack, v9) = v11) | % 23.89/4.16 | ~ (leq(v11, v12) = 0) | ~ (host(v8) = v10) | ~ (host(v7) = v9) % 23.89/4.16 | | ~ $i(v8) | ~ $i(v7) | ? [v13: any] : ? [v14: any] : ? % 23.89/4.16 | [v15: any] : ? [v16: $i] : ? [v17: $i] : (index(status, v10) = % 23.89/4.16 | v17 & index(status, v9) = v16 & leq(v9, v10) = v13 & setIn(v8, % 23.89/4.16 | alive) = v15 & setIn(v7, alive) = v14 & $i(v17) & $i(v16) & ( % 23.89/4.16 | ~ (v17 = elec_2) | ~ (v16 = elec_2) | ~ (v15 = 0) | ~ (v14 % 23.89/4.16 | = 0) | v13 = 0))) & ! [v7: $i] : ! [v8: $i] : ! [v9: $i] % 23.89/4.16 | : ! [v10: $i] : ! [v11: $i] : ! [v12: $i] : ( ~ (m_Down(v8) = % 23.89/4.16 | v10) | ~ (host(v9) = v11) | ~ (queue(v11) = v12) | ~ % 23.89/4.16 | (elem(v10, v12) = 0) | ~ (setIn(v7, alive) = 0) | ~ $i(v9) | ~ % 23.89/4.16 | $i(v8) | ~ $i(v7) | ? [v13: any] : ? [v14: $i] : ? [v15: $i] % 23.89/4.16 | : ? [v16: $i] : ? [v17: $i] : (index(ldr, v15) = v16 & % 23.89/4.16 | index(status, v15) = v17 & host(v8) = v14 & host(v7) = v15 & % 23.89/4.16 | setIn(v9, alive) = v13 & $i(v17) & $i(v16) & $i(v15) & $i(v14) % 23.89/4.16 | & ( ~ (v17 = norm) | ~ (v16 = v14) | ~ (v15 = v14) | ~ (v13 % 23.89/4.16 | = 0)))) & ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! % 23.89/4.16 | [v10: $i] : ! [v11: $i] : ! [v12: $i] : ( ~ (m_Ack(v9, v7) = v10) % 23.89/4.16 | | ~ (host(v8) = v11) | ~ (queue(v11) = v12) | ~ (elem(v10, % 23.89/4.16 | v12) = 0) | ~ $i(v9) | ~ $i(v8) | ~ $i(v7) | ? [v13: $i] % 23.89/4.16 | : ? [v14: $i] : ? [v15: int] : ( ~ (v15 = 0) & leq(v13, v14) = % 23.89/4.16 | v15 & host(v9) = v14 & host(v7) = v13 & $i(v14) & $i(v13))) & % 23.89/4.16 | ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: % 23.89/4.16 | $i] : ! [v12: $i] : ( ~ (m_Ack(v7, v8) = v11) | ~ (host(v7) = % 23.89/4.16 | v10) | ~ (queue(v10) = v12) | ~ (elem(v11, v12) = 0) | ~ % 23.89/4.16 | (setIn(v9, alive) = 0) | ~ $i(v9) | ~ $i(v8) | ~ $i(v7) | ? % 23.89/4.16 | [v13: any] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? % 23.89/4.16 | [v17: $i] : (index(status, v14) = v17 & index(status, v10) = v16 % 23.89/4.16 | & host(v9) = v14 & host(v8) = v15 & setIn(v7, alive) = v13 & % 23.89/4.16 | $i(v17) & $i(v16) & $i(v15) & $i(v14) & ( ~ (v17 = elec_2) | ~ % 23.89/4.16 | (v16 = elec_2) | ~ (v15 = v14) | ~ (v13 = 0)))) & ! [v7: % 23.89/4.16 | $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( % 23.89/4.16 | ~ (m_Ldr(v8) = v9) | ~ (host(v7) = v10) | ~ (queue(v10) = v11) % 23.89/4.16 | | ~ (elem(v9, v11) = 0) | ~ $i(v8) | ~ $i(v7) | ? [v12: $i] : % 23.89/4.16 | ? [v13: int] : ( ~ (v13 = 0) & leq(v10, v12) = v13 & host(v8) = % 23.89/4.16 | v12 & $i(v12))) & ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! % 23.89/4.16 | [v10: $i] : ! [v11: $i] : ( ~ (m_Down(v8) = v9) | ~ (host(v7) = % 23.89/4.16 | v10) | ~ (queue(v10) = v11) | ~ (elem(v9, v11) = 0) | ~ % 23.89/4.16 | $i(v8) | ~ $i(v7) | ? [v12: $i] : ( ~ (v12 = v10) & host(v8) = % 23.89/4.16 | v12 & $i(v12))) & ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! % 23.89/4.16 | [v10: $i] : ! [v11: $i] : ( ~ (m_Halt(v8) = v9) | ~ (host(v7) = % 23.89/4.16 | v10) | ~ (queue(v10) = v11) | ~ (elem(v9, v11) = 0) | ~ % 23.89/4.16 | $i(v8) | ~ $i(v7) | ? [v12: $i] : ? [v13: int] : ( ~ (v13 = 0) % 23.89/4.16 | & leq(v10, v12) = v13 & host(v8) = v12 & $i(v12))) & ! [v7: % 23.89/4.16 | $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( % 23.89/4.16 | ~ (m_Ack(v8, v7) = v10) | ~ (host(v8) = v9) | ~ (queue(v9) = % 23.89/4.16 | v11) | ~ (elem(v10, v11) = 0) | ~ $i(v8) | ~ $i(v7) | ? % 23.89/4.16 | [v12: any] : ? [v13: $i] : (index(status, v9) = v13 & setIn(v8, % 23.89/4.16 | alive) = v12 & $i(v13) & ( ~ (v13 = elec_1) | ~ (v12 = 0)))) % 23.89/4.16 | & ! [v7: $i] : ! [v8: $i] : (v8 = v7 | ~ (setIn(v8, alive) = 0) % 23.89/4.16 | | ~ (setIn(v7, alive) = 0) | ~ $i(v8) | ~ $i(v7) | ? [v9: $i] % 23.89/4.16 | : ? [v10: $i] : ( ~ (v10 = v9) & host(v8) = v9 & host(v7) = v10 % 23.89/4.16 | & $i(v10) & $i(v9))) & ! [v7: $i] : ! [v8: int] : (v8 = 0 | % 23.89/4.16 | ~ (leq(v7, v1) = v8) | ~ $i(v7) | ? [v9: $i] : ( ~ (v9 = v0) & % 23.89/4.16 | host(v7) = v9 & $i(v9))) & ! [v7: $i] : ( ~ (setIn(v7, alive) % 23.89/4.16 | = 0) | ~ $i(v7) | ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : % 23.89/4.16 | (index(elid, v8) = v10 & index(status, v8) = v9 & host(v7) = v8 & % 23.89/4.16 | $i(v10) & $i(v9) & $i(v8) & (v10 = v7 | ( ~ (v9 = elec_1) & ~ % 23.89/4.16 | (v9 = elec_2))))) & ! [v7: $i] : ( ~ (setIn(v7, alive) = % 23.89/4.16 | 0) | ~ $i(v7) | ? [v8: $i] : ( ~ (v8 = v0) & host(v7) = v8 & % 23.89/4.16 | $i(v8))) & ? [v7: $i] : ? [v8: $i] : ? [v9: any] : ? [v10: % 23.89/4.16 | $i] : ? [v11: $i] : ( ~ (v8 = v0) & index(ldr, v8) = v10 & % 23.89/4.16 | index(status, v8) = v11 & host(v7) = v8 & setIn(v7, alive) = v9 & % 23.89/4.16 | $i(v11) & $i(v10) & $i(v8) & $i(v7) & ? [v12: $i] : ? [v13: $i] % 23.89/4.16 | : ? [v14: $i] : ? [v15: any] : ? [v16: $i] : ? [v17: $i] : ? % 23.89/4.16 | [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : (v11 = % 23.89/4.16 | norm & v10 = v8 & ~ (v5 = v0) & index(status, v5) = elec_2 & % 23.89/4.16 | index(pendack, v5) = v16 & snoc(v19, v6) = v20 & m_Down(v13) = % 23.89/4.16 | v18 & leq(nbr_proc, v17) = 0 & s(v16) = v17 & m_Ack(v14, v12) = % 23.89/4.16 | v21 & host(v14) = v5 & host(v13) = v17 & host(v12) = v16 & % 23.89/4.16 | queue(v5) = v19 & elem(v21, v20) = 0 & elem(v18, v20) = 0 & % 23.89/4.16 | setIn(v14, alive) = v15 & $i(v21) & $i(v20) & $i(v19) & $i(v18) % 23.89/4.16 | & $i(v17) & $i(v16) & $i(v14) & $i(v13) & $i(v12) & (v15 = 0 | % 23.89/4.16 | v14 = v1) & (v9 = 0 | v7 = v1))))) % 23.89/4.16 | % 23.89/4.16 | ALPHA: (function-axioms) implies: % 23.89/4.16 | (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (host(v2) = % 23.89/4.16 | v1) | ~ (host(v2) = v0)) % 23.89/4.16 | (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (s(v2) = v1) | % 23.89/4.16 | ~ (s(v2) = v0)) % 23.89/4.16 | (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pidMsg(v2) = % 23.89/4.16 | v1) | ~ (pidMsg(v2) = v0)) % 23.89/4.17 | (13) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 23.89/4.17 | : ! [v3: $i] : (v1 = v0 | ~ (setIn(v3, v2) = v1) | ~ (setIn(v3, v2) % 23.89/4.17 | = v0)) % 23.89/4.17 | (14) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 23.89/4.17 | : ! [v3: $i] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = % 23.89/4.17 | v0)) % 23.89/4.17 | (15) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 23.89/4.17 | (index(v3, v2) = v1) | ~ (index(v3, v2) = v0)) % 23.89/4.17 | % 23.89/4.17 | DELTA: instantiating (2) with fresh symbol all_61_0 gives: % 23.89/4.17 | (16) leq(all_61_0, nbr_proc) = 0 & s(zero) = all_61_0 & $i(all_61_0) % 23.89/4.17 | % 23.89/4.17 | ALPHA: (16) implies: % 23.89/4.17 | (17) s(zero) = all_61_0 % 23.89/4.17 | % 23.89/4.17 | DELTA: instantiating (1) with fresh symbol all_63_0 gives: % 23.89/4.17 | (18) s(zero) = all_63_0 & $i(all_63_0) & ! [v0: $i] : ! [v1: $i] : ( ~ % 23.89/4.17 | (host(v0) = v1) | ~ $i(v0) | leq(all_63_0, v1) = 0) % 23.89/4.17 | % 23.89/4.17 | ALPHA: (18) implies: % 23.89/4.17 | (19) s(zero) = all_63_0 % 23.89/4.17 | % 23.89/4.17 | DELTA: instantiating (9) with fresh symbol all_66_0 gives: % 23.89/4.18 | (20) s(zero) = all_66_0 & $i(all_66_0) & ? [v0: $i] : ? [v1: $i] : ? % 23.89/4.18 | [v2: int] : ? [v3: int] : ? [v4: $i] : ? [v5: $i] : ( ~ (v3 = 0) & % 23.89/4.18 | ~ (v2 = 0) & m_Halt(v0) = v5 & leq(nbr_proc, all_66_0) = v3 & % 23.89/4.18 | s(all_66_0) = v4 & host(v1) = all_66_0 & host(v0) = all_66_0 & % 23.89/4.18 | queue(all_66_0) = q_nil & setIn(v0, pids) = v2 & $i(v5) & $i(v4) & % 23.89/4.18 | $i(v1) & $i(v0) & ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: % 23.89/4.18 | $i] : ! [v10: $i] : ! [v11: $i] : ! [v12: int] : ! [v13: $i] : % 23.89/4.18 | ! [v14: $i] : ! [v15: $i] : (v12 = 0 | ~ (index(pendack, v9) = % 23.89/4.18 | v10) | ~ (m_Halt(v8) = v13) | ~ (leq(v10, v11) = v12) | ~ % 23.89/4.18 | (host(v8) = v9) | ~ (host(v7) = v14) | ~ (host(v6) = v11) | ~ % 23.89/4.18 | (queue(v14) = v15) | ~ (elem(v13, v15) = 0) | ~ $i(v8) | ~ % 23.89/4.18 | $i(v7) | ~ $i(v6) | ? [v16: any] : ? [v17: $i] : ? [v18: any] % 23.89/4.18 | : ? [v19: $i] : ? [v20: $i] : (index(ldr, v11) = v19 & % 23.89/4.18 | index(status, v11) = v20 & index(status, v9) = v17 & setIn(v8, % 23.89/4.18 | alive) = v16 & setIn(v6, alive) = v18 & $i(v20) & $i(v19) & % 23.89/4.18 | $i(v17) & ( ~ (v20 = norm) | ~ (v19 = v11) | ~ (v18 = 0) | ~ % 23.89/4.18 | (v17 = elec_2) | ~ (v16 = 0)))) & ! [v6: $i] : ! [v7: $i] : % 23.89/4.18 | ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ! [v12: % 23.89/4.18 | $i] : ! [v13: $i] : ! [v14: $i] : ( ~ (m_Down(v8) = v10) | ~ % 23.89/4.18 | (m_Down(v7) = v12) | ~ (host(v9) = nbr_proc) | ~ (host(v6) = % 23.89/4.18 | v13) | ~ (queue(v13) = v14) | ~ (queue(nbr_proc) = v11) | ~ % 23.89/4.18 | (elem(v12, v14) = 0) | ~ (elem(v10, v11) = 0) | ~ $i(v9) | ~ % 23.89/4.18 | $i(v8) | ~ $i(v7) | ~ $i(v6) | ? [v15: $i] : ? [v16: $i] : ? % 23.89/4.18 | [v17: $i] : ? [v18: $i] : ? [v19: any] : (index(down, nbr_proc) % 23.89/4.18 | = v15 & index(status, nbr_proc) = v18 & host(v8) = v16 & % 23.89/4.18 | host(v7) = v17 & setIn(v6, alive) = v19 & $i(v18) & $i(v17) & % 23.89/4.18 | $i(v16) & $i(v15) & ( ~ (v19 = 0) | ~ (v18 = elec_1) | ~ (v17 % 23.89/4.18 | = nbr_proc) | ? [v20: $i] : ? [v21: int] : ? [v22: int] : % 23.89/4.18 | ( ~ (v22 = 0) & ~ (v21 = 0) & ~ (v20 = v16) & leq(all_66_0, % 23.89/4.18 | v20) = 0 & leq(nbr_proc, v20) = v21 & setIn(v20, v15) = % 23.89/4.18 | v22 & $i(v20))))) & ! [v6: $i] : ! [v7: $i] : ! [v8: $i] % 23.89/4.18 | : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ! [v12: $i] : ! % 23.89/4.18 | [v13: $i] : ( ~ (m_Down(v8) = v10) | ~ (m_Ack(v9, v7) = v13) | ~ % 23.89/4.18 | (host(v9) = v11) | ~ (queue(v11) = v12) | ~ (elem(v13, v12) = 0) % 23.89/4.18 | | ~ (elem(v10, v12) = 0) | ~ (setIn(v6, alive) = 0) | ~ $i(v9) % 23.89/4.18 | | ~ $i(v8) | ~ $i(v7) | ~ $i(v6) | ? [v14: any] : ? [v15: $i] % 23.89/4.18 | : ? [v16: $i] : ? [v17: any] : ? [v18: $i] : ? [v19: $i] : ? % 23.89/4.18 | [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : % 23.89/4.18 | (index(ldr, v21) = v22 & index(status, v21) = v23 & index(status, % 23.89/4.18 | v11) = v18 & index(pendack, v11) = v15 & leq(nbr_proc, v16) = % 23.89/4.18 | v17 & s(v15) = v16 & host(v8) = v20 & host(v7) = v19 & host(v6) % 23.89/4.18 | = v21 & setIn(v9, alive) = v14 & $i(v23) & $i(v22) & $i(v21) & % 23.89/4.18 | $i(v20) & $i(v19) & $i(v18) & $i(v16) & $i(v15) & ( ~ (v23 = % 23.89/4.18 | norm) | ~ (v22 = v21) | ~ (v20 = v16) | ~ (v19 = v15) | % 23.89/4.18 | ~ (v18 = elec_2) | ~ (v17 = 0) | ~ (v14 = 0)))) & ! [v6: % 23.89/4.18 | $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! % 23.89/4.18 | [v11: int] : (v11 = 0 | ~ (index(pendack, v9) = v10) | ~ (leq(v10, % 23.89/4.18 | v8) = v11) | ~ (host(v7) = v9) | ~ (host(v6) = v8) | ~ % 23.89/4.18 | $i(v7) | ~ $i(v6) | ? [v12: any] : ? [v13: any] : ? [v14: any] % 23.89/4.18 | : ? [v15: $i] : ? [v16: $i] : (index(status, v9) = v16 & % 23.89/4.18 | index(status, v8) = v15 & leq(v8, v9) = v12 & setIn(v7, alive) = % 23.89/4.18 | v14 & setIn(v6, alive) = v13 & $i(v16) & $i(v15) & ( ~ (v16 = % 23.89/4.18 | elec_2) | ~ (v15 = elec_2) | ~ (v14 = 0) | ~ (v13 = 0) | % 23.89/4.18 | v12 = 0))) & ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: % 23.89/4.18 | $i] : ! [v10: $i] : ! [v11: int] : (v11 = 0 | ~ (index(pendack, % 23.89/4.18 | v8) = v10) | ~ (leq(v9, v10) = v11) | ~ (host(v7) = v8) | ~ % 23.89/4.18 | (host(v6) = v9) | ~ $i(v7) | ~ $i(v6) | ? [v12: any] : ? [v13: % 23.89/4.18 | $i] : ? [v14: $i] : ? [v15: any] : (m_Ack(v7, v6) = v13 & % 23.89/4.18 | queue(v8) = v14 & elem(v13, v14) = v15 & setIn(v7, alive) = v12 % 23.89/4.18 | & $i(v14) & $i(v13) & ( ~ (v15 = 0) | ~ (v12 = 0)))) & ! [v6: % 23.89/4.18 | $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! % 23.89/4.18 | [v11: $i] : ( ~ (index(pendack, v9) = v11) | ~ (index(pendack, v8) % 23.89/4.18 | = v10) | ~ (leq(v10, v11) = 0) | ~ (host(v7) = v9) | ~ % 23.89/4.18 | (host(v6) = v8) | ~ $i(v7) | ~ $i(v6) | ? [v12: any] : ? [v13: % 23.89/4.18 | any] : ? [v14: any] : ? [v15: $i] : ? [v16: $i] : % 23.89/4.18 | (index(status, v9) = v16 & index(status, v8) = v15 & leq(v8, v9) = % 23.89/4.18 | v12 & setIn(v7, alive) = v14 & setIn(v6, alive) = v13 & $i(v16) % 23.89/4.18 | & $i(v15) & ( ~ (v16 = elec_2) | ~ (v15 = elec_2) | ~ (v14 = % 23.89/4.18 | 0) | ~ (v13 = 0) | v12 = 0))) & ! [v6: $i] : ! [v7: $i] : % 23.89/4.18 | ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~ % 23.89/4.18 | (m_Down(v7) = v9) | ~ (host(v8) = v10) | ~ (queue(v10) = v11) | % 23.89/4.18 | ~ (elem(v9, v11) = 0) | ~ (setIn(v6, alive) = 0) | ~ $i(v8) | ~ % 23.89/4.18 | $i(v7) | ~ $i(v6) | ? [v12: any] : ? [v13: $i] : ? [v14: $i] : % 23.89/4.18 | ? [v15: $i] : ? [v16: $i] : (index(ldr, v14) = v15 & % 23.89/4.18 | index(status, v14) = v16 & host(v7) = v13 & host(v6) = v14 & % 23.89/4.18 | setIn(v8, alive) = v12 & $i(v16) & $i(v15) & $i(v14) & $i(v13) & % 23.89/4.18 | ( ~ (v16 = norm) | ~ (v15 = v13) | ~ (v14 = v13) | ~ (v12 = % 23.89/4.18 | 0)))) & ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: % 23.89/4.18 | $i] : ! [v10: $i] : ! [v11: $i] : ( ~ (m_Ack(v8, v6) = v9) | ~ % 23.89/4.18 | (host(v7) = v10) | ~ (queue(v10) = v11) | ~ (elem(v9, v11) = 0) % 23.89/4.18 | | ~ $i(v8) | ~ $i(v7) | ~ $i(v6) | ? [v12: $i] : ? [v13: $i] % 23.89/4.18 | : ? [v14: int] : ( ~ (v14 = 0) & leq(v12, v13) = v14 & host(v8) = % 23.89/4.18 | v13 & host(v6) = v12 & $i(v13) & $i(v12))) & ! [v6: $i] : ! % 23.89/4.18 | [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : % 23.89/4.18 | ( ~ (m_Ack(v6, v7) = v10) | ~ (host(v6) = v9) | ~ (queue(v9) = % 23.89/4.18 | v11) | ~ (elem(v10, v11) = 0) | ~ (setIn(v8, alive) = 0) | ~ % 23.89/4.18 | $i(v8) | ~ $i(v7) | ~ $i(v6) | ? [v12: any] : ? [v13: $i] : ? % 23.89/4.18 | [v14: $i] : ? [v15: $i] : ? [v16: $i] : (index(status, v13) = % 23.89/4.18 | v16 & index(status, v9) = v15 & host(v8) = v13 & host(v7) = v14 % 23.89/4.18 | & setIn(v6, alive) = v12 & $i(v16) & $i(v15) & $i(v14) & $i(v13) % 23.89/4.18 | & ( ~ (v16 = elec_2) | ~ (v15 = elec_2) | ~ (v14 = v13) | ~ % 23.89/4.18 | (v12 = 0)))) & ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! % 23.89/4.18 | [v9: $i] : ! [v10: $i] : ( ~ (m_Ldr(v7) = v8) | ~ (host(v6) = v9) % 23.89/4.18 | | ~ (queue(v9) = v10) | ~ (elem(v8, v10) = 0) | ~ $i(v7) | ~ % 23.89/4.18 | $i(v6) | ? [v11: $i] : ? [v12: int] : ( ~ (v12 = 0) & leq(v9, % 23.89/4.18 | v11) = v12 & host(v7) = v11 & $i(v11))) & ! [v6: $i] : ! % 23.89/4.18 | [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ( ~ % 23.89/4.18 | (m_Down(v7) = v8) | ~ (host(v6) = v9) | ~ (queue(v9) = v10) | ~ % 23.89/4.18 | (elem(v8, v10) = 0) | ~ $i(v7) | ~ $i(v6) | ? [v11: $i] : ( ~ % 23.89/4.18 | (v11 = v9) & host(v7) = v11 & $i(v11))) & ! [v6: $i] : ! [v7: % 23.89/4.18 | $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ( ~ (m_Halt(v7) = % 23.89/4.18 | v8) | ~ (host(v6) = v9) | ~ (queue(v9) = v10) | ~ (elem(v8, % 23.89/4.18 | v10) = 0) | ~ $i(v7) | ~ $i(v6) | ? [v11: $i] : ? [v12: % 23.89/4.18 | int] : ( ~ (v12 = 0) & leq(v9, v11) = v12 & host(v7) = v11 & % 23.89/4.18 | $i(v11))) & ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: % 23.89/4.18 | $i] : ! [v10: $i] : ( ~ (m_Ack(v7, v6) = v9) | ~ (host(v7) = v8) % 23.89/4.18 | | ~ (queue(v8) = v10) | ~ (elem(v9, v10) = 0) | ~ $i(v7) | ~ % 23.89/4.18 | $i(v6) | ? [v11: any] : ? [v12: $i] : (index(status, v8) = v12 & % 23.89/4.18 | setIn(v7, alive) = v11 & $i(v12) & ( ~ (v12 = elec_1) | ~ (v11 % 23.89/4.18 | = 0)))) & ! [v6: $i] : ! [v7: $i] : (v7 = v6 | ~ % 23.89/4.18 | (setIn(v7, alive) = 0) | ~ (setIn(v6, alive) = 0) | ~ $i(v7) | % 23.89/4.18 | ~ $i(v6) | ? [v8: $i] : ? [v9: $i] : ( ~ (v9 = v8) & host(v7) = % 23.89/4.18 | v8 & host(v6) = v9 & $i(v9) & $i(v8))) & ! [v6: $i] : ! [v7: % 23.89/4.18 | int] : (v7 = 0 | ~ (leq(v6, v0) = v7) | ~ $i(v6) | ? [v8: any] % 23.89/4.18 | : ( ~ (v8 = all_66_0) & host(v6) = v8 & $i(v8))) & ! [v6: $i] : ( % 23.89/4.18 | ~ (setIn(v6, alive) = 0) | ~ $i(v6) | ? [v7: $i] : ? [v8: $i] : % 23.89/4.18 | ? [v9: $i] : (index(elid, v7) = v9 & index(status, v7) = v8 & % 23.89/4.18 | host(v6) = v7 & $i(v9) & $i(v8) & $i(v7) & (v9 = v6 | ( ~ (v8 = % 23.89/4.18 | elec_1) & ~ (v8 = elec_2))))) & ! [v6: $i] : ( ~ % 23.89/4.18 | (setIn(v6, alive) = 0) | ~ $i(v6) | ? [v7: any] : ( ~ (v7 = % 23.89/4.18 | all_66_0) & host(v6) = v7 & $i(v7))) & ? [v6: $i] : ? [v7: % 23.89/4.18 | any] : ? [v8: any] : ? [v9: $i] : ? [v10: $i] : ( ~ (v7 = % 23.89/4.18 | all_66_0) & index(ldr, v7) = v9 & index(status, v7) = v10 & % 23.89/4.18 | host(v6) = v7 & setIn(v6, alive) = v8 & $i(v10) & $i(v9) & $i(v7) % 23.89/4.18 | & $i(v6) & ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: % 23.89/4.18 | any] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] % 23.89/4.18 | : ? [v19: $i] : ? [v20: $i] : (v10 = norm & v9 = v7 & ~ (v4 = % 23.89/4.18 | all_66_0) & index(status, v4) = elec_2 & index(pendack, v4) = % 23.89/4.18 | v15 & snoc(v18, v5) = v19 & m_Down(v12) = v17 & leq(nbr_proc, % 23.89/4.18 | v16) = 0 & s(v15) = v16 & m_Ack(v13, v11) = v20 & host(v13) = % 23.89/4.18 | v4 & host(v12) = v16 & host(v11) = v15 & queue(v4) = v18 & % 23.89/4.18 | elem(v20, v19) = 0 & elem(v17, v19) = 0 & setIn(v13, alive) = % 23.89/4.18 | v14 & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) % 23.89/4.18 | & $i(v13) & $i(v12) & $i(v11) & (v14 = 0 | v13 = v0) & (v8 = 0 | % 23.89/4.18 | v6 = v0)))) % 23.89/4.18 | % 23.89/4.18 | ALPHA: (20) implies: % 23.89/4.18 | (21) s(zero) = all_66_0 % 23.89/4.19 | (22) ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ? [v3: int] : ? [v4: $i] % 23.89/4.19 | : ? [v5: $i] : ( ~ (v3 = 0) & ~ (v2 = 0) & m_Halt(v0) = v5 & % 23.89/4.19 | leq(nbr_proc, all_66_0) = v3 & s(all_66_0) = v4 & host(v1) = % 23.89/4.19 | all_66_0 & host(v0) = all_66_0 & queue(all_66_0) = q_nil & setIn(v0, % 23.89/4.19 | pids) = v2 & $i(v5) & $i(v4) & $i(v1) & $i(v0) & ! [v6: $i] : ! % 23.89/4.19 | [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : % 23.89/4.19 | ! [v12: int] : ! [v13: $i] : ! [v14: $i] : ! [v15: $i] : (v12 = % 23.89/4.19 | 0 | ~ (index(pendack, v9) = v10) | ~ (m_Halt(v8) = v13) | ~ % 23.89/4.19 | (leq(v10, v11) = v12) | ~ (host(v8) = v9) | ~ (host(v7) = v14) | % 23.89/4.19 | ~ (host(v6) = v11) | ~ (queue(v14) = v15) | ~ (elem(v13, v15) = % 23.89/4.19 | 0) | ~ $i(v8) | ~ $i(v7) | ~ $i(v6) | ? [v16: any] : ? % 23.89/4.19 | [v17: $i] : ? [v18: any] : ? [v19: $i] : ? [v20: $i] : % 23.89/4.19 | (index(ldr, v11) = v19 & index(status, v11) = v20 & index(status, % 23.89/4.19 | v9) = v17 & setIn(v8, alive) = v16 & setIn(v6, alive) = v18 & % 23.89/4.19 | $i(v20) & $i(v19) & $i(v17) & ( ~ (v20 = norm) | ~ (v19 = v11) % 23.89/4.19 | | ~ (v18 = 0) | ~ (v17 = elec_2) | ~ (v16 = 0)))) & ! [v6: % 23.89/4.19 | $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! % 23.89/4.19 | [v11: $i] : ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ( ~ % 23.89/4.19 | (m_Down(v8) = v10) | ~ (m_Down(v7) = v12) | ~ (host(v9) = % 23.89/4.19 | nbr_proc) | ~ (host(v6) = v13) | ~ (queue(v13) = v14) | ~ % 23.89/4.19 | (queue(nbr_proc) = v11) | ~ (elem(v12, v14) = 0) | ~ (elem(v10, % 23.89/4.19 | v11) = 0) | ~ $i(v9) | ~ $i(v8) | ~ $i(v7) | ~ $i(v6) | ? % 23.89/4.19 | [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: % 23.89/4.19 | any] : (index(down, nbr_proc) = v15 & index(status, nbr_proc) = % 23.89/4.19 | v18 & host(v8) = v16 & host(v7) = v17 & setIn(v6, alive) = v19 & % 23.89/4.19 | $i(v18) & $i(v17) & $i(v16) & $i(v15) & ( ~ (v19 = 0) | ~ (v18 % 23.89/4.19 | = elec_1) | ~ (v17 = nbr_proc) | ? [v20: $i] : ? [v21: % 23.89/4.19 | int] : ? [v22: int] : ( ~ (v22 = 0) & ~ (v21 = 0) & ~ % 23.89/4.19 | (v20 = v16) & leq(all_66_0, v20) = 0 & leq(nbr_proc, v20) = % 23.89/4.19 | v21 & setIn(v20, v15) = v22 & $i(v20))))) & ! [v6: $i] : ! % 23.89/4.19 | [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : % 23.89/4.19 | ! [v12: $i] : ! [v13: $i] : ( ~ (m_Down(v8) = v10) | ~ (m_Ack(v9, % 23.89/4.19 | v7) = v13) | ~ (host(v9) = v11) | ~ (queue(v11) = v12) | ~ % 23.89/4.19 | (elem(v13, v12) = 0) | ~ (elem(v10, v12) = 0) | ~ (setIn(v6, % 23.89/4.19 | alive) = 0) | ~ $i(v9) | ~ $i(v8) | ~ $i(v7) | ~ $i(v6) | % 23.89/4.19 | ? [v14: any] : ? [v15: $i] : ? [v16: $i] : ? [v17: any] : ? % 23.89/4.19 | [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: % 23.89/4.19 | $i] : ? [v23: $i] : (index(ldr, v21) = v22 & index(status, v21) % 23.89/4.19 | = v23 & index(status, v11) = v18 & index(pendack, v11) = v15 & % 23.89/4.19 | leq(nbr_proc, v16) = v17 & s(v15) = v16 & host(v8) = v20 & % 23.89/4.19 | host(v7) = v19 & host(v6) = v21 & setIn(v9, alive) = v14 & % 23.89/4.19 | $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & % 23.89/4.19 | $i(v16) & $i(v15) & ( ~ (v23 = norm) | ~ (v22 = v21) | ~ (v20 % 23.89/4.19 | = v16) | ~ (v19 = v15) | ~ (v18 = elec_2) | ~ (v17 = 0) | % 23.89/4.19 | ~ (v14 = 0)))) & ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! % 23.89/4.19 | [v9: $i] : ! [v10: $i] : ! [v11: int] : (v11 = 0 | ~ % 23.89/4.19 | (index(pendack, v9) = v10) | ~ (leq(v10, v8) = v11) | ~ % 23.89/4.19 | (host(v7) = v9) | ~ (host(v6) = v8) | ~ $i(v7) | ~ $i(v6) | ? % 23.89/4.19 | [v12: any] : ? [v13: any] : ? [v14: any] : ? [v15: $i] : ? % 23.89/4.19 | [v16: $i] : (index(status, v9) = v16 & index(status, v8) = v15 & % 23.89/4.19 | leq(v8, v9) = v12 & setIn(v7, alive) = v14 & setIn(v6, alive) = % 23.89/4.19 | v13 & $i(v16) & $i(v15) & ( ~ (v16 = elec_2) | ~ (v15 = elec_2) % 23.89/4.19 | | ~ (v14 = 0) | ~ (v13 = 0) | v12 = 0))) & ! [v6: $i] : ! % 23.89/4.19 | [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: int] % 23.89/4.19 | : (v11 = 0 | ~ (index(pendack, v8) = v10) | ~ (leq(v9, v10) = v11) % 23.89/4.19 | | ~ (host(v7) = v8) | ~ (host(v6) = v9) | ~ $i(v7) | ~ $i(v6) % 23.89/4.19 | | ? [v12: any] : ? [v13: $i] : ? [v14: $i] : ? [v15: any] : % 23.89/4.19 | (m_Ack(v7, v6) = v13 & queue(v8) = v14 & elem(v13, v14) = v15 & % 23.89/4.19 | setIn(v7, alive) = v12 & $i(v14) & $i(v13) & ( ~ (v15 = 0) | ~ % 23.89/4.19 | (v12 = 0)))) & ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! % 23.89/4.19 | [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~ (index(pendack, v9) = % 23.89/4.19 | v11) | ~ (index(pendack, v8) = v10) | ~ (leq(v10, v11) = 0) | % 23.89/4.19 | ~ (host(v7) = v9) | ~ (host(v6) = v8) | ~ $i(v7) | ~ $i(v6) | % 23.89/4.19 | ? [v12: any] : ? [v13: any] : ? [v14: any] : ? [v15: $i] : ? % 23.89/4.19 | [v16: $i] : (index(status, v9) = v16 & index(status, v8) = v15 & % 23.89/4.19 | leq(v8, v9) = v12 & setIn(v7, alive) = v14 & setIn(v6, alive) = % 23.89/4.19 | v13 & $i(v16) & $i(v15) & ( ~ (v16 = elec_2) | ~ (v15 = elec_2) % 23.89/4.19 | | ~ (v14 = 0) | ~ (v13 = 0) | v12 = 0))) & ! [v6: $i] : ! % 23.89/4.19 | [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : % 23.89/4.19 | ( ~ (m_Down(v7) = v9) | ~ (host(v8) = v10) | ~ (queue(v10) = v11) % 23.89/4.19 | | ~ (elem(v9, v11) = 0) | ~ (setIn(v6, alive) = 0) | ~ $i(v8) | % 23.89/4.19 | ~ $i(v7) | ~ $i(v6) | ? [v12: any] : ? [v13: $i] : ? [v14: % 23.89/4.19 | $i] : ? [v15: $i] : ? [v16: $i] : (index(ldr, v14) = v15 & % 23.89/4.19 | index(status, v14) = v16 & host(v7) = v13 & host(v6) = v14 & % 23.89/4.19 | setIn(v8, alive) = v12 & $i(v16) & $i(v15) & $i(v14) & $i(v13) & % 23.89/4.19 | ( ~ (v16 = norm) | ~ (v15 = v13) | ~ (v14 = v13) | ~ (v12 = % 23.89/4.19 | 0)))) & ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: % 23.89/4.19 | $i] : ! [v10: $i] : ! [v11: $i] : ( ~ (m_Ack(v8, v6) = v9) | ~ % 23.89/4.19 | (host(v7) = v10) | ~ (queue(v10) = v11) | ~ (elem(v9, v11) = 0) % 23.89/4.19 | | ~ $i(v8) | ~ $i(v7) | ~ $i(v6) | ? [v12: $i] : ? [v13: $i] % 23.89/4.19 | : ? [v14: int] : ( ~ (v14 = 0) & leq(v12, v13) = v14 & host(v8) = % 23.89/4.19 | v13 & host(v6) = v12 & $i(v13) & $i(v12))) & ! [v6: $i] : ! % 23.89/4.19 | [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : % 23.89/4.19 | ( ~ (m_Ack(v6, v7) = v10) | ~ (host(v6) = v9) | ~ (queue(v9) = % 23.89/4.19 | v11) | ~ (elem(v10, v11) = 0) | ~ (setIn(v8, alive) = 0) | ~ % 23.89/4.19 | $i(v8) | ~ $i(v7) | ~ $i(v6) | ? [v12: any] : ? [v13: $i] : ? % 23.89/4.19 | [v14: $i] : ? [v15: $i] : ? [v16: $i] : (index(status, v13) = % 23.89/4.19 | v16 & index(status, v9) = v15 & host(v8) = v13 & host(v7) = v14 % 23.89/4.19 | & setIn(v6, alive) = v12 & $i(v16) & $i(v15) & $i(v14) & $i(v13) % 23.89/4.19 | & ( ~ (v16 = elec_2) | ~ (v15 = elec_2) | ~ (v14 = v13) | ~ % 23.89/4.19 | (v12 = 0)))) & ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! % 23.89/4.19 | [v9: $i] : ! [v10: $i] : ( ~ (m_Ldr(v7) = v8) | ~ (host(v6) = v9) % 23.89/4.19 | | ~ (queue(v9) = v10) | ~ (elem(v8, v10) = 0) | ~ $i(v7) | ~ % 23.89/4.19 | $i(v6) | ? [v11: $i] : ? [v12: int] : ( ~ (v12 = 0) & leq(v9, % 23.89/4.19 | v11) = v12 & host(v7) = v11 & $i(v11))) & ! [v6: $i] : ! % 23.89/4.19 | [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ( ~ % 23.89/4.19 | (m_Down(v7) = v8) | ~ (host(v6) = v9) | ~ (queue(v9) = v10) | ~ % 23.89/4.19 | (elem(v8, v10) = 0) | ~ $i(v7) | ~ $i(v6) | ? [v11: $i] : ( ~ % 23.89/4.19 | (v11 = v9) & host(v7) = v11 & $i(v11))) & ! [v6: $i] : ! [v7: % 23.89/4.19 | $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ( ~ (m_Halt(v7) = % 23.89/4.19 | v8) | ~ (host(v6) = v9) | ~ (queue(v9) = v10) | ~ (elem(v8, % 23.89/4.19 | v10) = 0) | ~ $i(v7) | ~ $i(v6) | ? [v11: $i] : ? [v12: % 23.89/4.19 | int] : ( ~ (v12 = 0) & leq(v9, v11) = v12 & host(v7) = v11 & % 23.89/4.19 | $i(v11))) & ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: % 23.89/4.19 | $i] : ! [v10: $i] : ( ~ (m_Ack(v7, v6) = v9) | ~ (host(v7) = v8) % 23.89/4.19 | | ~ (queue(v8) = v10) | ~ (elem(v9, v10) = 0) | ~ $i(v7) | ~ % 23.89/4.19 | $i(v6) | ? [v11: any] : ? [v12: $i] : (index(status, v8) = v12 & % 23.89/4.19 | setIn(v7, alive) = v11 & $i(v12) & ( ~ (v12 = elec_1) | ~ (v11 % 23.89/4.19 | = 0)))) & ! [v6: $i] : ! [v7: $i] : (v7 = v6 | ~ % 23.89/4.19 | (setIn(v7, alive) = 0) | ~ (setIn(v6, alive) = 0) | ~ $i(v7) | % 23.89/4.19 | ~ $i(v6) | ? [v8: $i] : ? [v9: $i] : ( ~ (v9 = v8) & host(v7) = % 23.89/4.19 | v8 & host(v6) = v9 & $i(v9) & $i(v8))) & ! [v6: $i] : ! [v7: % 23.89/4.19 | int] : (v7 = 0 | ~ (leq(v6, v0) = v7) | ~ $i(v6) | ? [v8: any] % 23.89/4.19 | : ( ~ (v8 = all_66_0) & host(v6) = v8 & $i(v8))) & ! [v6: $i] : ( % 23.89/4.19 | ~ (setIn(v6, alive) = 0) | ~ $i(v6) | ? [v7: $i] : ? [v8: $i] : % 23.89/4.19 | ? [v9: $i] : (index(elid, v7) = v9 & index(status, v7) = v8 & % 23.89/4.19 | host(v6) = v7 & $i(v9) & $i(v8) & $i(v7) & (v9 = v6 | ( ~ (v8 = % 23.89/4.19 | elec_1) & ~ (v8 = elec_2))))) & ! [v6: $i] : ( ~ % 23.89/4.19 | (setIn(v6, alive) = 0) | ~ $i(v6) | ? [v7: any] : ( ~ (v7 = % 23.89/4.19 | all_66_0) & host(v6) = v7 & $i(v7))) & ? [v6: $i] : ? [v7: % 23.89/4.19 | any] : ? [v8: any] : ? [v9: $i] : ? [v10: $i] : ( ~ (v7 = % 23.89/4.19 | all_66_0) & index(ldr, v7) = v9 & index(status, v7) = v10 & % 23.89/4.19 | host(v6) = v7 & setIn(v6, alive) = v8 & $i(v10) & $i(v9) & $i(v7) % 23.89/4.19 | & $i(v6) & ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: % 23.89/4.19 | any] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] % 23.89/4.19 | : ? [v19: $i] : ? [v20: $i] : (v10 = norm & v9 = v7 & ~ (v4 = % 23.89/4.19 | all_66_0) & index(status, v4) = elec_2 & index(pendack, v4) = % 23.89/4.19 | v15 & snoc(v18, v5) = v19 & m_Down(v12) = v17 & leq(nbr_proc, % 23.89/4.19 | v16) = 0 & s(v15) = v16 & m_Ack(v13, v11) = v20 & host(v13) = % 23.89/4.19 | v4 & host(v12) = v16 & host(v11) = v15 & queue(v4) = v18 & % 23.89/4.19 | elem(v20, v19) = 0 & elem(v17, v19) = 0 & setIn(v13, alive) = % 23.89/4.19 | v14 & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) % 23.89/4.19 | & $i(v13) & $i(v12) & $i(v11) & (v14 = 0 | v13 = v0) & (v8 = 0 | % 23.89/4.19 | v6 = v0)))) % 23.89/4.19 | % 23.89/4.19 | DELTA: instantiating (22) with fresh symbols all_68_0, all_68_1, all_68_2, % 23.89/4.19 | all_68_3, all_68_4, all_68_5 gives: % 23.89/4.20 | (23) ~ (all_68_2 = 0) & ~ (all_68_3 = 0) & m_Halt(all_68_5) = all_68_0 & % 23.89/4.20 | leq(nbr_proc, all_66_0) = all_68_2 & s(all_66_0) = all_68_1 & % 23.89/4.20 | host(all_68_4) = all_66_0 & host(all_68_5) = all_66_0 & % 23.89/4.20 | queue(all_66_0) = q_nil & setIn(all_68_5, pids) = all_68_3 & % 23.89/4.20 | $i(all_68_0) & $i(all_68_1) & $i(all_68_4) & $i(all_68_5) & ! [v0: % 23.89/4.20 | $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! % 23.89/4.20 | [v5: $i] : ! [v6: int] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : % 23.89/4.20 | (v6 = 0 | ~ (index(pendack, v3) = v4) | ~ (m_Halt(v2) = v7) | ~ % 23.89/4.20 | (leq(v4, v5) = v6) | ~ (host(v2) = v3) | ~ (host(v1) = v8) | ~ % 23.89/4.20 | (host(v0) = v5) | ~ (queue(v8) = v9) | ~ (elem(v7, v9) = 0) | ~ % 23.89/4.20 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v10: any] : ? [v11: $i] : ? % 23.89/4.20 | [v12: any] : ? [v13: $i] : ? [v14: $i] : (index(ldr, v5) = v13 & % 23.89/4.20 | index(status, v5) = v14 & index(status, v3) = v11 & setIn(v2, % 23.89/4.20 | alive) = v10 & setIn(v0, alive) = v12 & $i(v14) & $i(v13) & % 23.89/4.20 | $i(v11) & ( ~ (v14 = norm) | ~ (v13 = v5) | ~ (v12 = 0) | ~ % 23.89/4.20 | (v11 = elec_2) | ~ (v10 = 0)))) & ! [v0: $i] : ! [v1: $i] : % 23.89/4.20 | ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : % 23.89/4.20 | ! [v7: $i] : ! [v8: $i] : ( ~ (m_Down(v2) = v4) | ~ (m_Down(v1) = % 23.89/4.20 | v6) | ~ (host(v3) = nbr_proc) | ~ (host(v0) = v7) | ~ % 23.89/4.20 | (queue(v7) = v8) | ~ (queue(nbr_proc) = v5) | ~ (elem(v6, v8) = 0) % 23.89/4.20 | | ~ (elem(v4, v5) = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 23.89/4.20 | $i(v0) | ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : % 23.89/4.20 | ? [v13: any] : (index(down, nbr_proc) = v9 & index(status, nbr_proc) % 23.89/4.20 | = v12 & host(v2) = v10 & host(v1) = v11 & setIn(v0, alive) = v13 & % 23.89/4.20 | $i(v12) & $i(v11) & $i(v10) & $i(v9) & ( ~ (v13 = 0) | ~ (v12 = % 23.89/4.20 | elec_1) | ~ (v11 = nbr_proc) | ? [v14: $i] : ? [v15: int] : % 23.89/4.20 | ? [v16: int] : ( ~ (v16 = 0) & ~ (v15 = 0) & ~ (v14 = v10) & % 23.89/4.20 | leq(all_66_0, v14) = 0 & leq(nbr_proc, v14) = v15 & setIn(v14, % 23.89/4.20 | v9) = v16 & $i(v14))))) & ! [v0: $i] : ! [v1: $i] : ! % 23.89/4.20 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! % 23.89/4.20 | [v7: $i] : ( ~ (m_Down(v2) = v4) | ~ (m_Ack(v3, v1) = v7) | ~ % 23.89/4.20 | (host(v3) = v5) | ~ (queue(v5) = v6) | ~ (elem(v7, v6) = 0) | ~ % 23.89/4.20 | (elem(v4, v6) = 0) | ~ (setIn(v0, alive) = 0) | ~ $i(v3) | ~ % 23.89/4.20 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v8: any] : ? [v9: $i] : ? % 23.89/4.20 | [v10: $i] : ? [v11: any] : ? [v12: $i] : ? [v13: $i] : ? [v14: % 23.89/4.20 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : (index(ldr, % 23.89/4.20 | v15) = v16 & index(status, v15) = v17 & index(status, v5) = v12 % 23.89/4.20 | & index(pendack, v5) = v9 & leq(nbr_proc, v10) = v11 & s(v9) = v10 % 23.89/4.20 | & host(v2) = v14 & host(v1) = v13 & host(v0) = v15 & setIn(v3, % 23.89/4.20 | alive) = v8 & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & % 23.89/4.20 | $i(v12) & $i(v10) & $i(v9) & ( ~ (v17 = norm) | ~ (v16 = v15) | % 23.89/4.20 | ~ (v14 = v10) | ~ (v13 = v9) | ~ (v12 = elec_2) | ~ (v11 = 0) % 23.89/4.20 | | ~ (v8 = 0)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 23.89/4.20 | [v3: $i] : ! [v4: $i] : ! [v5: int] : (v5 = 0 | ~ (index(pendack, % 23.89/4.20 | v3) = v4) | ~ (leq(v4, v2) = v5) | ~ (host(v1) = v3) | ~ % 23.89/4.20 | (host(v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: % 23.89/4.20 | any] : ? [v8: any] : ? [v9: $i] : ? [v10: $i] : (index(status, % 23.89/4.20 | v3) = v10 & index(status, v2) = v9 & leq(v2, v3) = v6 & % 23.89/4.20 | setIn(v1, alive) = v8 & setIn(v0, alive) = v7 & $i(v10) & $i(v9) & % 23.89/4.20 | ( ~ (v10 = elec_2) | ~ (v9 = elec_2) | ~ (v8 = 0) | ~ (v7 = 0) % 23.89/4.20 | | v6 = 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 23.89/4.20 | $i] : ! [v4: $i] : ! [v5: int] : (v5 = 0 | ~ (index(pendack, v2) % 23.89/4.20 | = v4) | ~ (leq(v3, v4) = v5) | ~ (host(v1) = v2) | ~ (host(v0) % 23.89/4.20 | = v3) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: $i] : ? % 23.89/4.20 | [v8: $i] : ? [v9: any] : (m_Ack(v1, v0) = v7 & queue(v2) = v8 & % 23.89/4.20 | elem(v7, v8) = v9 & setIn(v1, alive) = v6 & $i(v8) & $i(v7) & ( ~ % 23.89/4.20 | (v9 = 0) | ~ (v6 = 0)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 23.89/4.20 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (index(pendack, % 23.89/4.20 | v3) = v5) | ~ (index(pendack, v2) = v4) | ~ (leq(v4, v5) = 0) % 23.89/4.20 | | ~ (host(v1) = v3) | ~ (host(v0) = v2) | ~ $i(v1) | ~ $i(v0) | % 23.89/4.20 | ? [v6: any] : ? [v7: any] : ? [v8: any] : ? [v9: $i] : ? [v10: % 23.89/4.20 | $i] : (index(status, v3) = v10 & index(status, v2) = v9 & leq(v2, % 23.89/4.20 | v3) = v6 & setIn(v1, alive) = v8 & setIn(v0, alive) = v7 & % 23.89/4.20 | $i(v10) & $i(v9) & ( ~ (v10 = elec_2) | ~ (v9 = elec_2) | ~ (v8 % 23.89/4.20 | = 0) | ~ (v7 = 0) | v6 = 0))) & ! [v0: $i] : ! [v1: $i] : % 23.89/4.20 | ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (m_Down(v1) % 23.89/4.20 | = v3) | ~ (host(v2) = v4) | ~ (queue(v4) = v5) | ~ (elem(v3, % 23.89/4.20 | v5) = 0) | ~ (setIn(v0, alive) = 0) | ~ $i(v2) | ~ $i(v1) | % 23.89/4.20 | ~ $i(v0) | ? [v6: any] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 23.89/4.20 | ? [v10: $i] : (index(ldr, v8) = v9 & index(status, v8) = v10 & % 23.89/4.20 | host(v1) = v7 & host(v0) = v8 & setIn(v2, alive) = v6 & $i(v10) & % 23.89/4.20 | $i(v9) & $i(v8) & $i(v7) & ( ~ (v10 = norm) | ~ (v9 = v7) | ~ % 23.89/4.20 | (v8 = v7) | ~ (v6 = 0)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 23.89/4.20 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (m_Ack(v2, v0) = % 23.89/4.20 | v3) | ~ (host(v1) = v4) | ~ (queue(v4) = v5) | ~ (elem(v3, v5) % 23.89/4.20 | = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: $i] : ? [v7: % 23.89/4.20 | $i] : ? [v8: int] : ( ~ (v8 = 0) & leq(v6, v7) = v8 & host(v2) = % 23.89/4.20 | v7 & host(v0) = v6 & $i(v7) & $i(v6))) & ! [v0: $i] : ! [v1: $i] % 23.89/4.20 | : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ % 23.89/4.20 | (m_Ack(v0, v1) = v4) | ~ (host(v0) = v3) | ~ (queue(v3) = v5) | ~ % 23.89/4.20 | (elem(v4, v5) = 0) | ~ (setIn(v2, alive) = 0) | ~ $i(v2) | ~ % 23.89/4.20 | $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: $i] : ? [v8: $i] : ? % 23.89/4.20 | [v9: $i] : ? [v10: $i] : (index(status, v7) = v10 & index(status, % 23.89/4.20 | v3) = v9 & host(v2) = v7 & host(v1) = v8 & setIn(v0, alive) = v6 % 23.89/4.20 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & ( ~ (v10 = elec_2) | ~ (v9 % 23.89/4.20 | = elec_2) | ~ (v8 = v7) | ~ (v6 = 0)))) & ! [v0: $i] : ! % 23.89/4.20 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (m_Ldr(v1) = % 23.89/4.20 | v2) | ~ (host(v0) = v3) | ~ (queue(v3) = v4) | ~ (elem(v2, v4) % 23.89/4.20 | = 0) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : ? [v6: int] : ( ~ % 23.89/4.20 | (v6 = 0) & leq(v3, v5) = v6 & host(v1) = v5 & $i(v5))) & ! [v0: % 23.89/4.20 | $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 23.89/4.20 | (m_Down(v1) = v2) | ~ (host(v0) = v3) | ~ (queue(v3) = v4) | ~ % 23.89/4.20 | (elem(v2, v4) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : ( ~ (v5 = % 23.89/4.20 | v3) & host(v1) = v5 & $i(v5))) & ! [v0: $i] : ! [v1: $i] : ! % 23.89/4.20 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (m_Halt(v1) = v2) | ~ % 23.89/4.20 | (host(v0) = v3) | ~ (queue(v3) = v4) | ~ (elem(v2, v4) = 0) | ~ % 23.89/4.20 | $i(v1) | ~ $i(v0) | ? [v5: $i] : ? [v6: int] : ( ~ (v6 = 0) & % 23.89/4.20 | leq(v3, v5) = v6 & host(v1) = v5 & $i(v5))) & ! [v0: $i] : ! % 23.89/4.20 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (m_Ack(v1, % 23.89/4.20 | v0) = v3) | ~ (host(v1) = v2) | ~ (queue(v2) = v4) | ~ % 23.89/4.20 | (elem(v3, v4) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: % 23.89/4.20 | $i] : (index(status, v2) = v6 & setIn(v1, alive) = v5 & $i(v6) & ( % 23.89/4.20 | ~ (v6 = elec_1) | ~ (v5 = 0)))) & ! [v0: $i] : ! [v1: $i] : % 23.89/4.20 | (v1 = v0 | ~ (setIn(v1, alive) = 0) | ~ (setIn(v0, alive) = 0) | ~ % 23.89/4.20 | $i(v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: $i] : ( ~ (v3 = v2) & % 23.89/4.20 | host(v1) = v2 & host(v0) = v3 & $i(v3) & $i(v2))) & ! [v0: $i] : % 23.89/4.20 | ! [v1: int] : (v1 = 0 | ~ (leq(v0, all_68_5) = v1) | ~ $i(v0) | ? % 23.89/4.20 | [v2: any] : ( ~ (v2 = all_66_0) & host(v0) = v2 & $i(v2))) & ! [v0: % 23.89/4.20 | $i] : ( ~ (setIn(v0, alive) = 0) | ~ $i(v0) | ? [v1: $i] : ? [v2: % 23.89/4.20 | $i] : ? [v3: $i] : (index(elid, v1) = v3 & index(status, v1) = v2 % 23.89/4.20 | & host(v0) = v1 & $i(v3) & $i(v2) & $i(v1) & (v3 = v0 | ( ~ (v2 = % 23.89/4.20 | elec_1) & ~ (v2 = elec_2))))) & ! [v0: $i] : ( ~ % 23.89/4.20 | (setIn(v0, alive) = 0) | ~ $i(v0) | ? [v1: any] : ( ~ (v1 = % 23.89/4.20 | all_66_0) & host(v0) = v1 & $i(v1))) & ? [v0: $i] : ? [v1: % 23.89/4.20 | any] : ? [v2: any] : ? [v3: $i] : ? [v4: $i] : ( ~ (v1 = % 23.89/4.20 | all_66_0) & index(ldr, v1) = v3 & index(status, v1) = v4 & % 23.89/4.20 | host(v0) = v1 & setIn(v0, alive) = v2 & $i(v4) & $i(v3) & $i(v1) & % 23.89/4.20 | $i(v0) & ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: any] : ? % 23.89/4.20 | [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] % 23.89/4.20 | : ? [v14: $i] : (v4 = norm & v3 = v1 & ~ (all_68_1 = all_66_0) & % 23.89/4.20 | index(status, all_68_1) = elec_2 & index(pendack, all_68_1) = v9 & % 23.89/4.20 | snoc(v12, all_68_0) = v13 & m_Down(v6) = v11 & leq(nbr_proc, v10) % 23.89/4.20 | = 0 & s(v9) = v10 & m_Ack(v7, v5) = v14 & host(v7) = all_68_1 & % 23.89/4.20 | host(v6) = v10 & host(v5) = v9 & queue(all_68_1) = v12 & elem(v14, % 23.89/4.20 | v13) = 0 & elem(v11, v13) = 0 & setIn(v7, alive) = v8 & $i(v14) % 23.89/4.20 | & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v7) & $i(v6) % 23.89/4.20 | & $i(v5) & (v8 = 0 | v7 = all_68_5) & (v2 = 0 | v0 = all_68_5))) % 23.89/4.20 | % 23.89/4.20 | ALPHA: (23) implies: % 23.89/4.20 | (24) ~ (all_68_2 = 0) % 23.89/4.20 | (25) $i(all_68_5) % 23.89/4.20 | (26) $i(all_68_0) % 23.89/4.20 | (27) host(all_68_5) = all_66_0 % 23.89/4.20 | (28) leq(nbr_proc, all_66_0) = all_68_2 % 23.89/4.20 | (29) m_Halt(all_68_5) = all_68_0 % 23.89/4.20 | (30) ! [v0: $i] : ( ~ (setIn(v0, alive) = 0) | ~ $i(v0) | ? [v1: $i] : % 23.89/4.20 | ? [v2: $i] : ? [v3: $i] : (index(elid, v1) = v3 & index(status, v1) % 23.89/4.20 | = v2 & host(v0) = v1 & $i(v3) & $i(v2) & $i(v1) & (v3 = v0 | ( ~ % 23.89/4.20 | (v2 = elec_1) & ~ (v2 = elec_2))))) % 23.89/4.20 | (31) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 23.89/4.20 | ( ~ (m_Down(v1) = v2) | ~ (host(v0) = v3) | ~ (queue(v3) = v4) | ~ % 23.89/4.20 | (elem(v2, v4) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : ( ~ (v5 = % 23.89/4.20 | v3) & host(v1) = v5 & $i(v5))) % 23.89/4.20 | (32) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 23.89/4.20 | ! [v5: $i] : ( ~ (m_Ack(v0, v1) = v4) | ~ (host(v0) = v3) | ~ % 23.89/4.20 | (queue(v3) = v5) | ~ (elem(v4, v5) = 0) | ~ (setIn(v2, alive) = 0) % 23.89/4.20 | | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: $i] : % 23.89/4.20 | ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : (index(status, v7) = v10 & % 23.89/4.20 | index(status, v3) = v9 & host(v2) = v7 & host(v1) = v8 & setIn(v0, % 23.89/4.20 | alive) = v6 & $i(v10) & $i(v9) & $i(v8) & $i(v7) & ( ~ (v10 = % 23.89/4.20 | elec_2) | ~ (v9 = elec_2) | ~ (v8 = v7) | ~ (v6 = 0)))) % 23.89/4.20 | (33) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 23.89/4.20 | ! [v5: $i] : ( ~ (m_Ack(v2, v0) = v3) | ~ (host(v1) = v4) | ~ % 23.89/4.20 | (queue(v4) = v5) | ~ (elem(v3, v5) = 0) | ~ $i(v2) | ~ $i(v1) | % 23.89/4.20 | ~ $i(v0) | ? [v6: $i] : ? [v7: $i] : ? [v8: int] : ( ~ (v8 = 0) & % 23.89/4.20 | leq(v6, v7) = v8 & host(v2) = v7 & host(v0) = v6 & $i(v7) & % 23.89/4.20 | $i(v6))) % 23.89/4.20 | (34) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 23.89/4.20 | ! [v5: $i] : ( ~ (m_Down(v1) = v3) | ~ (host(v2) = v4) | ~ % 23.89/4.20 | (queue(v4) = v5) | ~ (elem(v3, v5) = 0) | ~ (setIn(v0, alive) = 0) % 23.89/4.20 | | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: $i] : % 23.89/4.20 | ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : (index(ldr, v8) = v9 & % 23.89/4.20 | index(status, v8) = v10 & host(v1) = v7 & host(v0) = v8 & % 23.89/4.20 | setIn(v2, alive) = v6 & $i(v10) & $i(v9) & $i(v8) & $i(v7) & ( ~ % 23.89/4.20 | (v10 = norm) | ~ (v9 = v7) | ~ (v8 = v7) | ~ (v6 = 0)))) % 24.30/4.21 | (35) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 24.30/4.21 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~ (m_Down(v2) = v4) | ~ % 24.30/4.21 | (m_Ack(v3, v1) = v7) | ~ (host(v3) = v5) | ~ (queue(v5) = v6) | ~ % 24.30/4.21 | (elem(v7, v6) = 0) | ~ (elem(v4, v6) = 0) | ~ (setIn(v0, alive) = % 24.30/4.21 | 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v8: any] % 24.30/4.21 | : ? [v9: $i] : ? [v10: $i] : ? [v11: any] : ? [v12: $i] : ? % 24.30/4.21 | [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: % 24.30/4.21 | $i] : (index(ldr, v15) = v16 & index(status, v15) = v17 & % 24.30/4.21 | index(status, v5) = v12 & index(pendack, v5) = v9 & leq(nbr_proc, % 24.30/4.21 | v10) = v11 & s(v9) = v10 & host(v2) = v14 & host(v1) = v13 & % 24.30/4.21 | host(v0) = v15 & setIn(v3, alive) = v8 & $i(v17) & $i(v16) & % 24.30/4.21 | $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v10) & $i(v9) & ( ~ % 24.30/4.21 | (v17 = norm) | ~ (v16 = v15) | ~ (v14 = v10) | ~ (v13 = v9) | % 24.30/4.21 | ~ (v12 = elec_2) | ~ (v11 = 0) | ~ (v8 = 0)))) % 24.30/4.21 | (36) ? [v0: $i] : ? [v1: any] : ? [v2: any] : ? [v3: $i] : ? [v4: $i] % 24.30/4.21 | : ( ~ (v1 = all_66_0) & index(ldr, v1) = v3 & index(status, v1) = v4 & % 24.30/4.21 | host(v0) = v1 & setIn(v0, alive) = v2 & $i(v4) & $i(v3) & $i(v1) & % 24.30/4.21 | $i(v0) & ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: any] : ? % 24.30/4.21 | [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] % 24.30/4.21 | : ? [v14: $i] : (v4 = norm & v3 = v1 & ~ (all_68_1 = all_66_0) & % 24.30/4.21 | index(status, all_68_1) = elec_2 & index(pendack, all_68_1) = v9 & % 24.30/4.21 | snoc(v12, all_68_0) = v13 & m_Down(v6) = v11 & leq(nbr_proc, v10) % 24.30/4.21 | = 0 & s(v9) = v10 & m_Ack(v7, v5) = v14 & host(v7) = all_68_1 & % 24.30/4.21 | host(v6) = v10 & host(v5) = v9 & queue(all_68_1) = v12 & elem(v14, % 24.30/4.21 | v13) = 0 & elem(v11, v13) = 0 & setIn(v7, alive) = v8 & $i(v14) % 24.30/4.21 | & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v7) & $i(v6) % 24.30/4.21 | & $i(v5) & (v8 = 0 | v7 = all_68_5) & (v2 = 0 | v0 = all_68_5))) % 24.30/4.21 | % 24.30/4.21 | DELTA: instantiating (36) with fresh symbols all_71_0, all_71_1, all_71_2, % 24.30/4.21 | all_71_3, all_71_4 gives: % 24.30/4.21 | (37) ~ (all_71_3 = all_66_0) & index(ldr, all_71_3) = all_71_1 & % 24.30/4.21 | index(status, all_71_3) = all_71_0 & host(all_71_4) = all_71_3 & % 24.30/4.21 | setIn(all_71_4, alive) = all_71_2 & $i(all_71_0) & $i(all_71_1) & % 24.30/4.21 | $i(all_71_3) & $i(all_71_4) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] % 24.30/4.21 | : ? [v3: any] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] % 24.30/4.21 | : ? [v8: $i] : ? [v9: $i] : (all_71_0 = norm & all_71_1 = all_71_3 & % 24.30/4.21 | ~ (all_68_1 = all_66_0) & index(status, all_68_1) = elec_2 & % 24.30/4.21 | index(pendack, all_68_1) = v4 & snoc(v7, all_68_0) = v8 & m_Down(v1) % 24.30/4.21 | = v6 & leq(nbr_proc, v5) = 0 & s(v4) = v5 & m_Ack(v2, v0) = v9 & % 24.30/4.21 | host(v2) = all_68_1 & host(v1) = v5 & host(v0) = v4 & % 24.30/4.21 | queue(all_68_1) = v7 & elem(v9, v8) = 0 & elem(v6, v8) = 0 & % 24.30/4.21 | setIn(v2, alive) = v3 & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & % 24.30/4.21 | $i(v4) & $i(v2) & $i(v1) & $i(v0) & (v3 = 0 | v2 = all_68_5) & % 24.30/4.21 | (all_71_2 = 0 | all_71_4 = all_68_5)) % 24.30/4.21 | % 24.30/4.21 | ALPHA: (37) implies: % 24.30/4.21 | (38) ~ (all_71_3 = all_66_0) % 24.30/4.21 | (39) $i(all_71_4) % 24.30/4.21 | (40) setIn(all_71_4, alive) = all_71_2 % 24.30/4.21 | (41) host(all_71_4) = all_71_3 % 24.30/4.21 | (42) index(status, all_71_3) = all_71_0 % 24.30/4.21 | (43) index(ldr, all_71_3) = all_71_1 % 24.30/4.21 | (44) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: any] : ? [v4: $i] : % 24.30/4.21 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 24.30/4.21 | (all_71_0 = norm & all_71_1 = all_71_3 & ~ (all_68_1 = all_66_0) & % 24.30/4.21 | index(status, all_68_1) = elec_2 & index(pendack, all_68_1) = v4 & % 24.30/4.21 | snoc(v7, all_68_0) = v8 & m_Down(v1) = v6 & leq(nbr_proc, v5) = 0 & % 24.30/4.21 | s(v4) = v5 & m_Ack(v2, v0) = v9 & host(v2) = all_68_1 & host(v1) = % 24.30/4.21 | v5 & host(v0) = v4 & queue(all_68_1) = v7 & elem(v9, v8) = 0 & % 24.30/4.21 | elem(v6, v8) = 0 & setIn(v2, alive) = v3 & $i(v9) & $i(v8) & $i(v7) % 24.30/4.21 | & $i(v6) & $i(v5) & $i(v4) & $i(v2) & $i(v1) & $i(v0) & (v3 = 0 | v2 % 24.30/4.21 | = all_68_5) & (all_71_2 = 0 | all_71_4 = all_68_5)) % 24.30/4.21 | % 24.30/4.21 | DELTA: instantiating (44) with fresh symbols all_73_0, all_73_1, all_73_2, % 24.30/4.21 | all_73_3, all_73_4, all_73_5, all_73_6, all_73_7, all_73_8, all_73_9 % 24.30/4.21 | gives: % 24.30/4.21 | (45) all_71_0 = norm & all_71_1 = all_71_3 & ~ (all_68_1 = all_66_0) & % 24.30/4.21 | index(status, all_68_1) = elec_2 & index(pendack, all_68_1) = all_73_5 % 24.30/4.21 | & snoc(all_73_2, all_68_0) = all_73_1 & m_Down(all_73_8) = all_73_3 & % 24.30/4.21 | leq(nbr_proc, all_73_4) = 0 & s(all_73_5) = all_73_4 & m_Ack(all_73_7, % 24.30/4.21 | all_73_9) = all_73_0 & host(all_73_7) = all_68_1 & host(all_73_8) = % 24.30/4.21 | all_73_4 & host(all_73_9) = all_73_5 & queue(all_68_1) = all_73_2 & % 24.30/4.21 | elem(all_73_0, all_73_1) = 0 & elem(all_73_3, all_73_1) = 0 & % 24.30/4.21 | setIn(all_73_7, alive) = all_73_6 & $i(all_73_0) & $i(all_73_1) & % 24.30/4.21 | $i(all_73_2) & $i(all_73_3) & $i(all_73_4) & $i(all_73_5) & % 24.30/4.21 | $i(all_73_7) & $i(all_73_8) & $i(all_73_9) & (all_73_6 = 0 | all_73_7 % 24.30/4.21 | = all_68_5) & (all_71_2 = 0 | all_71_4 = all_68_5) % 24.30/4.21 | % 24.30/4.21 | ALPHA: (45) implies: % 24.30/4.21 | (46) all_71_1 = all_71_3 % 24.30/4.21 | (47) all_71_0 = norm % 24.30/4.21 | (48) ~ (all_68_1 = all_66_0) % 24.30/4.21 | (49) $i(all_73_9) % 24.30/4.21 | (50) $i(all_73_8) % 24.30/4.21 | (51) $i(all_73_7) % 24.30/4.21 | (52) $i(all_73_4) % 24.30/4.21 | (53) $i(all_73_3) % 24.30/4.21 | (54) $i(all_73_2) % 24.30/4.21 | (55) $i(all_73_0) % 24.30/4.21 | (56) setIn(all_73_7, alive) = all_73_6 % 24.30/4.21 | (57) elem(all_73_3, all_73_1) = 0 % 24.30/4.21 | (58) elem(all_73_0, all_73_1) = 0 % 24.30/4.21 | (59) queue(all_68_1) = all_73_2 % 24.30/4.21 | (60) host(all_73_9) = all_73_5 % 24.30/4.21 | (61) host(all_73_8) = all_73_4 % 24.30/4.21 | (62) host(all_73_7) = all_68_1 % 24.30/4.21 | (63) m_Ack(all_73_7, all_73_9) = all_73_0 % 24.30/4.21 | (64) s(all_73_5) = all_73_4 % 24.30/4.21 | (65) leq(nbr_proc, all_73_4) = 0 % 24.30/4.21 | (66) m_Down(all_73_8) = all_73_3 % 24.30/4.21 | (67) snoc(all_73_2, all_68_0) = all_73_1 % 24.30/4.21 | (68) index(pendack, all_68_1) = all_73_5 % 24.30/4.21 | (69) index(status, all_68_1) = elec_2 % 24.30/4.21 | (70) all_71_2 = 0 | all_71_4 = all_68_5 % 24.30/4.21 | (71) all_73_6 = 0 | all_73_7 = all_68_5 % 24.30/4.21 | % 24.30/4.21 | REDUCE: (43), (46) imply: % 24.30/4.21 | (72) index(ldr, all_71_3) = all_71_3 % 24.30/4.21 | % 24.30/4.21 | REDUCE: (42), (47) imply: % 24.30/4.21 | (73) index(status, all_71_3) = norm % 24.30/4.21 | % 24.30/4.21 | GROUND_INST: instantiating (11) with all_63_0, all_66_0, zero, simplifying % 24.30/4.21 | with (19), (21) gives: % 24.30/4.21 | (74) all_66_0 = all_63_0 % 24.30/4.21 | % 24.30/4.21 | GROUND_INST: instantiating (11) with all_61_0, all_66_0, zero, simplifying % 24.30/4.21 | with (17), (21) gives: % 24.30/4.21 | (75) all_66_0 = all_61_0 % 24.30/4.21 | % 24.30/4.21 | COMBINE_EQS: (74), (75) imply: % 24.30/4.21 | (76) all_63_0 = all_61_0 % 24.30/4.21 | % 24.30/4.21 | REDUCE: (38), (75) imply: % 24.30/4.21 | (77) ~ (all_71_3 = all_61_0) % 24.30/4.22 | % 24.30/4.22 | REDUCE: (48), (75) imply: % 24.30/4.22 | (78) ~ (all_68_1 = all_61_0) % 24.30/4.22 | % 24.30/4.22 | REDUCE: (28), (75) imply: % 24.30/4.22 | (79) leq(nbr_proc, all_61_0) = all_68_2 % 24.30/4.22 | % 24.30/4.22 | REDUCE: (27), (75) imply: % 24.30/4.22 | (80) host(all_68_5) = all_61_0 % 24.30/4.22 | % 24.30/4.22 | GROUND_INST: instantiating (axiom_01) with all_73_9, all_73_9, all_73_5, % 24.30/4.22 | simplifying with (49), (60) gives: % 24.30/4.22 | (81) ? [v0: any] : ( ~ (v0 = all_73_5) & s(all_73_5) = v0 & $i(v0)) % 24.30/4.22 | % 24.30/4.22 | GROUND_INST: instantiating (3) with all_73_8, all_73_4, simplifying with (50), % 24.30/4.22 | (61) gives: % 24.30/4.22 | (82) leq(all_73_4, nbr_proc) = 0 % 24.30/4.22 | % 24.30/4.22 | GROUND_INST: instantiating (6) with nbr_proc, zero, all_61_0, all_68_2, % 24.30/4.22 | simplifying with (7), (8), (17), (79) gives: % 24.30/4.22 | (83) all_68_2 = 0 | ( ~ (all_61_0 = nbr_proc) & ? [v0: int] : ( ~ (v0 = 0) % 24.30/4.22 | & leq(nbr_proc, zero) = v0)) % 24.30/4.22 | % 24.30/4.22 | GROUND_INST: instantiating (5) with nbr_proc, all_73_4, simplifying with (8), % 24.30/4.22 | (52), (65) gives: % 24.30/4.22 | (84) all_73_4 = nbr_proc | ? [v0: int] : ( ~ (v0 = 0) & leq(all_73_4, % 24.30/4.22 | nbr_proc) = v0) % 24.30/4.22 | % 24.30/4.22 | GROUND_INST: instantiating (axiom_49) with all_68_5, all_68_0, simplifying % 24.30/4.22 | with (25), (29) gives: % 24.30/4.22 | (85) pidMsg(all_68_0) = all_68_5 % 24.30/4.22 | % 24.30/4.22 | GROUND_INST: instantiating (axiom_50) with all_73_8, all_73_3, simplifying % 24.30/4.22 | with (50), (66) gives: % 24.30/4.22 | (86) pidMsg(all_73_3) = all_73_8 % 24.30/4.22 | % 24.30/4.22 | GROUND_INST: instantiating (4) with all_73_0, all_68_0, all_73_2, all_73_1, % 24.30/4.22 | simplifying with (26), (54), (55), (58), (67) gives: % 24.30/4.22 | (87) all_73_0 = all_68_0 | elem(all_73_0, all_73_2) = 0 % 24.30/4.22 | % 24.30/4.22 | GROUND_INST: instantiating (4) with all_73_3, all_68_0, all_73_2, all_73_1, % 24.30/4.22 | simplifying with (26), (53), (54), (57), (67) gives: % 24.30/4.22 | (88) all_73_3 = all_68_0 | elem(all_73_3, all_73_2) = 0 % 24.30/4.22 | % 24.30/4.22 | DELTA: instantiating (81) with fresh symbol all_85_0 gives: % 24.30/4.22 | (89) ~ (all_85_0 = all_73_5) & s(all_73_5) = all_85_0 & $i(all_85_0) % 24.30/4.22 | % 24.30/4.22 | ALPHA: (89) implies: % 24.30/4.22 | (90) s(all_73_5) = all_85_0 % 24.30/4.22 | % 24.30/4.22 | BETA: splitting (83) gives: % 24.30/4.22 | % 24.30/4.22 | Case 1: % 24.30/4.22 | | % 24.30/4.22 | | (91) all_68_2 = 0 % 24.30/4.22 | | % 24.30/4.22 | | REDUCE: (24), (91) imply: % 24.30/4.22 | | (92) $false % 24.30/4.22 | | % 24.30/4.22 | | CLOSE: (92) is inconsistent. % 24.30/4.22 | | % 24.30/4.22 | Case 2: % 24.30/4.22 | | % 24.30/4.22 | | (93) ~ (all_61_0 = nbr_proc) & ? [v0: int] : ( ~ (v0 = 0) & % 24.30/4.22 | | leq(nbr_proc, zero) = v0) % 24.30/4.22 | | % 24.30/4.22 | | ALPHA: (93) implies: % 24.30/4.22 | | (94) ~ (all_61_0 = nbr_proc) % 24.30/4.22 | | % 24.30/4.22 | | BETA: splitting (84) gives: % 24.30/4.22 | | % 24.30/4.22 | | Case 1: % 24.30/4.22 | | | % 24.30/4.22 | | | (95) all_73_4 = nbr_proc % 24.30/4.22 | | | % 24.30/4.22 | | | REDUCE: (65), (95) imply: % 24.30/4.22 | | | (96) leq(nbr_proc, nbr_proc) = 0 % 24.30/4.22 | | | % 24.30/4.22 | | | REDUCE: (64), (95) imply: % 24.30/4.22 | | | (97) s(all_73_5) = nbr_proc % 24.30/4.22 | | | % 24.30/4.22 | | | REDUCE: (61), (95) imply: % 24.30/4.22 | | | (98) host(all_73_8) = nbr_proc % 24.30/4.22 | | | % 24.30/4.22 | | | GROUND_INST: instantiating (11) with nbr_proc, all_85_0, all_73_5, % 24.30/4.22 | | | simplifying with (90), (97) gives: % 24.30/4.22 | | | (99) all_85_0 = nbr_proc % 24.30/4.22 | | | % 24.30/4.22 | | | BETA: splitting (71) gives: % 24.30/4.22 | | | % 24.30/4.22 | | | Case 1: % 24.30/4.22 | | | | % 24.30/4.22 | | | | (100) all_73_6 = 0 % 24.30/4.22 | | | | % 24.30/4.22 | | | | REDUCE: (56), (100) imply: % 24.30/4.22 | | | | (101) setIn(all_73_7, alive) = 0 % 24.30/4.22 | | | | % 24.30/4.22 | | | | BETA: splitting (70) gives: % 24.30/4.22 | | | | % 24.30/4.22 | | | | Case 1: % 24.30/4.22 | | | | | % 24.30/4.22 | | | | | (102) all_71_2 = 0 % 24.30/4.22 | | | | | % 24.30/4.22 | | | | | REDUCE: (40), (102) imply: % 24.30/4.22 | | | | | (103) setIn(all_71_4, alive) = 0 % 24.30/4.22 | | | | | % 24.30/4.22 | | | | | BETA: splitting (88) gives: % 24.30/4.22 | | | | | % 24.30/4.22 | | | | | Case 1: % 24.30/4.22 | | | | | | % 24.30/4.22 | | | | | | (104) elem(all_73_3, all_73_2) = 0 % 24.30/4.22 | | | | | | % 24.30/4.22 | | | | | | BETA: splitting (87) gives: % 24.30/4.22 | | | | | | % 24.30/4.22 | | | | | | Case 1: % 24.30/4.22 | | | | | | | % 24.30/4.22 | | | | | | | (105) elem(all_73_0, all_73_2) = 0 % 24.30/4.22 | | | | | | | % 24.30/4.22 | | | | | | | GROUND_INST: instantiating (30) with all_71_4, simplifying with % 24.30/4.22 | | | | | | | (39), (103) gives: % 24.30/4.22 | | | | | | | (106) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (index(elid, % 24.30/4.22 | | | | | | | v0) = v2 & index(status, v0) = v1 & host(all_71_4) = % 24.30/4.22 | | | | | | | v0 & $i(v2) & $i(v1) & $i(v0) & (v2 = all_71_4 | ( ~ % 24.30/4.22 | | | | | | | (v1 = elec_1) & ~ (v1 = elec_2)))) % 24.30/4.22 | | | | | | | % 24.30/4.22 | | | | | | | GROUND_INST: instantiating (34) with all_73_7, all_73_8, all_73_7, % 24.30/4.22 | | | | | | | all_73_3, all_68_1, all_73_2, simplifying with (50), % 24.30/4.22 | | | | | | | (51), (59), (62), (66), (101), (104) gives: % 24.30/4.22 | | | | | | | (107) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : % 24.30/4.22 | | | | | | | ? [v4: $i] : (index(ldr, v2) = v3 & index(status, v2) = % 24.30/4.22 | | | | | | | v4 & host(all_73_7) = v2 & host(all_73_8) = v1 & % 24.30/4.22 | | | | | | | setIn(all_73_7, alive) = v0 & $i(v4) & $i(v3) & $i(v2) % 24.30/4.22 | | | | | | | & $i(v1) & ( ~ (v4 = norm) | ~ (v3 = v1) | ~ (v2 = % 24.30/4.22 | | | | | | | v1) | ~ (v0 = 0))) % 24.30/4.22 | | | | | | | % 24.30/4.22 | | | | | | | GROUND_INST: instantiating (34) with all_71_4, all_73_8, all_73_7, % 24.30/4.22 | | | | | | | all_73_3, all_68_1, all_73_2, simplifying with (39), % 24.30/4.22 | | | | | | | (50), (51), (59), (62), (66), (103), (104) gives: % 24.30/4.22 | | | | | | | (108) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : % 24.30/4.22 | | | | | | | ? [v4: $i] : (index(ldr, v2) = v3 & index(status, v2) = % 24.30/4.22 | | | | | | | v4 & host(all_73_8) = v1 & host(all_71_4) = v2 & % 24.30/4.22 | | | | | | | setIn(all_73_7, alive) = v0 & $i(v4) & $i(v3) & $i(v2) % 24.30/4.22 | | | | | | | & $i(v1) & ( ~ (v4 = norm) | ~ (v3 = v1) | ~ (v2 = % 24.30/4.23 | | | | | | | v1) | ~ (v0 = 0))) % 24.30/4.23 | | | | | | | % 24.30/4.23 | | | | | | | GROUND_INST: instantiating (31) with all_73_7, all_73_8, all_73_3, % 24.30/4.23 | | | | | | | all_68_1, all_73_2, simplifying with (50), (51), % 24.30/4.23 | | | | | | | (59), (62), (66), (104) gives: % 24.30/4.23 | | | | | | | (109) ? [v0: any] : ( ~ (v0 = all_68_1) & host(all_73_8) = v0 % 24.30/4.23 | | | | | | | & $i(v0)) % 24.30/4.23 | | | | | | | % 24.30/4.23 | | | | | | | GROUND_INST: instantiating (35) with all_73_7, all_73_9, all_73_8, % 24.30/4.23 | | | | | | | all_73_7, all_73_3, all_68_1, all_73_2, all_73_0, % 24.30/4.23 | | | | | | | simplifying with (49), (50), (51), (59), (62), (63), % 24.30/4.23 | | | | | | | (66), (101), (104), (105) gives: % 24.30/4.23 | | | | | | | (110) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: any] : % 24.30/4.23 | | | | | | | ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : % 24.30/4.23 | | | | | | | ? [v8: $i] : ? [v9: $i] : (index(ldr, v7) = v8 & % 24.30/4.23 | | | | | | | index(status, v7) = v9 & index(status, all_68_1) = v4 & % 24.30/4.23 | | | | | | | index(pendack, all_68_1) = v1 & leq(nbr_proc, v2) = v3 % 24.30/4.23 | | | | | | | & s(v1) = v2 & host(all_73_7) = v7 & host(all_73_8) = % 24.30/4.23 | | | | | | | v6 & host(all_73_9) = v5 & setIn(all_73_7, alive) = v0 % 24.30/4.23 | | | | | | | & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & % 24.30/4.23 | | | | | | | $i(v2) & $i(v1) & ( ~ (v9 = norm) | ~ (v8 = v7) | ~ % 24.30/4.23 | | | | | | | (v6 = v2) | ~ (v5 = v1) | ~ (v4 = elec_2) | ~ (v3 % 24.30/4.23 | | | | | | | = 0) | ~ (v0 = 0))) % 24.30/4.23 | | | | | | | % 24.30/4.23 | | | | | | | GROUND_INST: instantiating (35) with all_71_4, all_73_9, all_73_8, % 24.30/4.23 | | | | | | | all_73_7, all_73_3, all_68_1, all_73_2, all_73_0, % 24.30/4.23 | | | | | | | simplifying with (39), (49), (50), (51), (59), (62), % 24.30/4.23 | | | | | | | (63), (66), (103), (104), (105) gives: % 24.30/4.23 | | | | | | | (111) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: any] : % 24.30/4.23 | | | | | | | ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : % 24.30/4.23 | | | | | | | ? [v8: $i] : ? [v9: $i] : (index(ldr, v7) = v8 & % 24.30/4.23 | | | | | | | index(status, v7) = v9 & index(status, all_68_1) = v4 & % 24.30/4.23 | | | | | | | index(pendack, all_68_1) = v1 & leq(nbr_proc, v2) = v3 % 24.30/4.23 | | | | | | | & s(v1) = v2 & host(all_73_8) = v6 & host(all_73_9) = % 24.30/4.23 | | | | | | | v5 & host(all_71_4) = v7 & setIn(all_73_7, alive) = v0 % 24.30/4.23 | | | | | | | & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & % 24.30/4.23 | | | | | | | $i(v2) & $i(v1) & ( ~ (v9 = norm) | ~ (v8 = v7) | ~ % 24.30/4.23 | | | | | | | (v6 = v2) | ~ (v5 = v1) | ~ (v4 = elec_2) | ~ (v3 % 24.30/4.23 | | | | | | | = 0) | ~ (v0 = 0))) % 24.30/4.23 | | | | | | | % 24.30/4.23 | | | | | | | GROUND_INST: instantiating (33) with all_73_9, all_73_7, all_73_7, % 24.30/4.23 | | | | | | | all_73_0, all_68_1, all_73_2, simplifying with (49), % 24.30/4.23 | | | | | | | (51), (59), (62), (63), (105) gives: % 24.30/4.23 | | | | | | | (112) ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ( ~ (v2 = 0) & % 24.30/4.23 | | | | | | | leq(v0, v1) = v2 & host(all_73_7) = v1 & host(all_73_9) % 24.30/4.23 | | | | | | | = v0 & $i(v1) & $i(v0)) % 24.30/4.23 | | | | | | | % 24.30/4.23 | | | | | | | GROUND_INST: instantiating (32) with all_73_7, all_73_9, all_73_7, % 24.30/4.23 | | | | | | | all_68_1, all_73_0, all_73_2, simplifying with (49), % 24.30/4.23 | | | | | | | (51), (59), (62), (63), (101), (105) gives: % 24.30/4.23 | | | | | | | (113) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : % 24.30/4.23 | | | | | | | ? [v4: $i] : (index(status, v1) = v4 & index(status, % 24.30/4.23 | | | | | | | all_68_1) = v3 & host(all_73_7) = v1 & host(all_73_9) % 24.30/4.23 | | | | | | | = v2 & setIn(all_73_7, alive) = v0 & $i(v4) & $i(v3) & % 24.30/4.23 | | | | | | | $i(v2) & $i(v1) & ( ~ (v4 = elec_2) | ~ (v3 = elec_2) % 24.30/4.23 | | | | | | | | ~ (v2 = v1) | ~ (v0 = 0))) % 24.30/4.23 | | | | | | | % 24.30/4.23 | | | | | | | DELTA: instantiating (109) with fresh symbol all_218_0 gives: % 24.30/4.23 | | | | | | | (114) ~ (all_218_0 = all_68_1) & host(all_73_8) = all_218_0 & % 24.30/4.23 | | | | | | | $i(all_218_0) % 24.30/4.23 | | | | | | | % 24.30/4.23 | | | | | | | ALPHA: (114) implies: % 24.30/4.23 | | | | | | | (115) host(all_73_8) = all_218_0 % 24.30/4.23 | | | | | | | % 24.30/4.23 | | | | | | | DELTA: instantiating (112) with fresh symbols all_220_0, % 24.30/4.23 | | | | | | | all_220_1, all_220_2 gives: % 24.30/4.23 | | | | | | | (116) ~ (all_220_0 = 0) & leq(all_220_2, all_220_1) = % 24.30/4.23 | | | | | | | all_220_0 & host(all_73_7) = all_220_1 & host(all_73_9) = % 24.30/4.23 | | | | | | | all_220_2 & $i(all_220_1) & $i(all_220_2) % 24.30/4.23 | | | | | | | % 24.30/4.23 | | | | | | | ALPHA: (116) implies: % 24.30/4.23 | | | | | | | (117) host(all_73_9) = all_220_2 % 24.30/4.23 | | | | | | | % 24.30/4.23 | | | | | | | DELTA: instantiating (106) with fresh symbols all_224_0, % 24.30/4.23 | | | | | | | all_224_1, all_224_2 gives: % 24.30/4.23 | | | | | | | (118) index(elid, all_224_2) = all_224_0 & index(status, % 24.30/4.23 | | | | | | | all_224_2) = all_224_1 & host(all_71_4) = all_224_2 & % 24.30/4.23 | | | | | | | $i(all_224_0) & $i(all_224_1) & $i(all_224_2) & % 24.30/4.23 | | | | | | | (all_224_0 = all_71_4 | ( ~ (all_224_1 = elec_1) & ~ % 24.30/4.23 | | | | | | | (all_224_1 = elec_2))) % 24.30/4.23 | | | | | | | % 24.30/4.23 | | | | | | | ALPHA: (118) implies: % 24.30/4.23 | | | | | | | (119) host(all_71_4) = all_224_2 % 24.30/4.23 | | | | | | | (120) index(status, all_224_2) = all_224_1 % 24.30/4.23 | | | | | | | % 24.30/4.23 | | | | | | | DELTA: instantiating (108) with fresh symbols all_226_0, % 24.30/4.23 | | | | | | | all_226_1, all_226_2, all_226_3, all_226_4 gives: % 24.30/4.23 | | | | | | | (121) index(ldr, all_226_2) = all_226_1 & index(status, % 24.30/4.23 | | | | | | | all_226_2) = all_226_0 & host(all_73_8) = all_226_3 & % 24.30/4.23 | | | | | | | host(all_71_4) = all_226_2 & setIn(all_73_7, alive) = % 24.30/4.23 | | | | | | | all_226_4 & $i(all_226_0) & $i(all_226_1) & $i(all_226_2) % 24.30/4.23 | | | | | | | & $i(all_226_3) & ( ~ (all_226_0 = norm) | ~ (all_226_1 % 24.30/4.23 | | | | | | | = all_226_3) | ~ (all_226_2 = all_226_3) | ~ % 24.30/4.23 | | | | | | | (all_226_4 = 0)) % 24.30/4.23 | | | | | | | % 24.30/4.23 | | | | | | | ALPHA: (121) implies: % 24.30/4.23 | | | | | | | (122) setIn(all_73_7, alive) = all_226_4 % 24.30/4.23 | | | | | | | (123) host(all_71_4) = all_226_2 % 24.30/4.23 | | | | | | | (124) host(all_73_8) = all_226_3 % 24.30/4.23 | | | | | | | (125) index(status, all_226_2) = all_226_0 % 24.30/4.23 | | | | | | | (126) index(ldr, all_226_2) = all_226_1 % 24.30/4.23 | | | | | | | % 24.30/4.23 | | | | | | | DELTA: instantiating (107) with fresh symbols all_228_0, % 24.30/4.23 | | | | | | | all_228_1, all_228_2, all_228_3, all_228_4 gives: % 24.30/4.23 | | | | | | | (127) index(ldr, all_228_2) = all_228_1 & index(status, % 24.30/4.23 | | | | | | | all_228_2) = all_228_0 & host(all_73_7) = all_228_2 & % 24.30/4.23 | | | | | | | host(all_73_8) = all_228_3 & setIn(all_73_7, alive) = % 24.30/4.23 | | | | | | | all_228_4 & $i(all_228_0) & $i(all_228_1) & $i(all_228_2) % 24.30/4.23 | | | | | | | & $i(all_228_3) & ( ~ (all_228_0 = norm) | ~ (all_228_1 % 24.30/4.23 | | | | | | | = all_228_3) | ~ (all_228_2 = all_228_3) | ~ % 24.30/4.23 | | | | | | | (all_228_4 = 0)) % 24.30/4.23 | | | | | | | % 24.30/4.23 | | | | | | | ALPHA: (127) implies: % 24.30/4.23 | | | | | | | (128) setIn(all_73_7, alive) = all_228_4 % 24.30/4.23 | | | | | | | (129) host(all_73_8) = all_228_3 % 24.30/4.23 | | | | | | | % 24.30/4.23 | | | | | | | DELTA: instantiating (113) with fresh symbols all_230_0, % 24.30/4.23 | | | | | | | all_230_1, all_230_2, all_230_3, all_230_4 gives: % 24.30/4.23 | | | | | | | (130) index(status, all_230_3) = all_230_0 & index(status, % 24.30/4.23 | | | | | | | all_68_1) = all_230_1 & host(all_73_7) = all_230_3 & % 24.30/4.23 | | | | | | | host(all_73_9) = all_230_2 & setIn(all_73_7, alive) = % 24.30/4.23 | | | | | | | all_230_4 & $i(all_230_0) & $i(all_230_1) & $i(all_230_2) % 24.30/4.23 | | | | | | | & $i(all_230_3) & ( ~ (all_230_0 = elec_2) | ~ % 24.30/4.23 | | | | | | | (all_230_1 = elec_2) | ~ (all_230_2 = all_230_3) | ~ % 24.30/4.23 | | | | | | | (all_230_4 = 0)) % 24.30/4.23 | | | | | | | % 24.30/4.23 | | | | | | | ALPHA: (130) implies: % 24.30/4.23 | | | | | | | (131) setIn(all_73_7, alive) = all_230_4 % 24.30/4.23 | | | | | | | (132) host(all_73_9) = all_230_2 % 24.30/4.23 | | | | | | | % 24.30/4.23 | | | | | | | DELTA: instantiating (111) with fresh symbols all_232_0, % 24.30/4.23 | | | | | | | all_232_1, all_232_2, all_232_3, all_232_4, all_232_5, % 24.30/4.23 | | | | | | | all_232_6, all_232_7, all_232_8, all_232_9 gives: % 24.30/4.23 | | | | | | | (133) index(ldr, all_232_2) = all_232_1 & index(status, % 24.30/4.23 | | | | | | | all_232_2) = all_232_0 & index(status, all_68_1) = % 24.30/4.23 | | | | | | | all_232_5 & index(pendack, all_68_1) = all_232_8 & % 24.30/4.23 | | | | | | | leq(nbr_proc, all_232_7) = all_232_6 & s(all_232_8) = % 24.30/4.23 | | | | | | | all_232_7 & host(all_73_8) = all_232_3 & host(all_73_9) = % 24.30/4.23 | | | | | | | all_232_4 & host(all_71_4) = all_232_2 & setIn(all_73_7, % 24.30/4.23 | | | | | | | alive) = all_232_9 & $i(all_232_0) & $i(all_232_1) & % 24.30/4.23 | | | | | | | $i(all_232_2) & $i(all_232_3) & $i(all_232_4) & % 24.30/4.23 | | | | | | | $i(all_232_5) & $i(all_232_7) & $i(all_232_8) & ( ~ % 24.30/4.23 | | | | | | | (all_232_0 = norm) | ~ (all_232_1 = all_232_2) | ~ % 24.30/4.23 | | | | | | | (all_232_3 = all_232_7) | ~ (all_232_4 = all_232_8) | % 24.30/4.23 | | | | | | | ~ (all_232_5 = elec_2) | ~ (all_232_6 = 0) | ~ % 24.30/4.23 | | | | | | | (all_232_9 = 0)) % 24.30/4.23 | | | | | | | % 24.30/4.23 | | | | | | | ALPHA: (133) implies: % 24.30/4.23 | | | | | | | (134) setIn(all_73_7, alive) = all_232_9 % 24.30/4.23 | | | | | | | (135) host(all_71_4) = all_232_2 % 24.30/4.23 | | | | | | | (136) host(all_73_9) = all_232_4 % 24.30/4.23 | | | | | | | (137) host(all_73_8) = all_232_3 % 24.30/4.23 | | | | | | | (138) s(all_232_8) = all_232_7 % 24.30/4.23 | | | | | | | (139) leq(nbr_proc, all_232_7) = all_232_6 % 24.30/4.23 | | | | | | | (140) index(pendack, all_68_1) = all_232_8 % 24.30/4.23 | | | | | | | (141) index(status, all_68_1) = all_232_5 % 24.30/4.23 | | | | | | | (142) index(status, all_232_2) = all_232_0 % 24.30/4.23 | | | | | | | (143) index(ldr, all_232_2) = all_232_1 % 24.30/4.23 | | | | | | | (144) ~ (all_232_0 = norm) | ~ (all_232_1 = all_232_2) | ~ % 24.30/4.23 | | | | | | | (all_232_3 = all_232_7) | ~ (all_232_4 = all_232_8) | ~ % 24.30/4.23 | | | | | | | (all_232_5 = elec_2) | ~ (all_232_6 = 0) | ~ (all_232_9 % 24.30/4.23 | | | | | | | = 0) % 24.30/4.23 | | | | | | | % 24.30/4.23 | | | | | | | DELTA: instantiating (110) with fresh symbols all_234_0, % 24.30/4.23 | | | | | | | all_234_1, all_234_2, all_234_3, all_234_4, all_234_5, % 24.30/4.23 | | | | | | | all_234_6, all_234_7, all_234_8, all_234_9 gives: % 24.30/4.24 | | | | | | | (145) index(ldr, all_234_2) = all_234_1 & index(status, % 24.30/4.24 | | | | | | | all_234_2) = all_234_0 & index(status, all_68_1) = % 24.30/4.24 | | | | | | | all_234_5 & index(pendack, all_68_1) = all_234_8 & % 24.30/4.24 | | | | | | | leq(nbr_proc, all_234_7) = all_234_6 & s(all_234_8) = % 24.30/4.24 | | | | | | | all_234_7 & host(all_73_7) = all_234_2 & host(all_73_8) = % 24.30/4.24 | | | | | | | all_234_3 & host(all_73_9) = all_234_4 & setIn(all_73_7, % 24.30/4.24 | | | | | | | alive) = all_234_9 & $i(all_234_0) & $i(all_234_1) & % 24.30/4.24 | | | | | | | $i(all_234_2) & $i(all_234_3) & $i(all_234_4) & % 24.30/4.24 | | | | | | | $i(all_234_5) & $i(all_234_7) & $i(all_234_8) & ( ~ % 24.30/4.24 | | | | | | | (all_234_0 = norm) | ~ (all_234_1 = all_234_2) | ~ % 24.30/4.24 | | | | | | | (all_234_3 = all_234_7) | ~ (all_234_4 = all_234_8) | % 24.30/4.24 | | | | | | | ~ (all_234_5 = elec_2) | ~ (all_234_6 = 0) | ~ % 24.30/4.24 | | | | | | | (all_234_9 = 0)) % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | ALPHA: (145) implies: % 24.30/4.24 | | | | | | | (146) setIn(all_73_7, alive) = all_234_9 % 24.30/4.24 | | | | | | | (147) host(all_73_9) = all_234_4 % 24.30/4.24 | | | | | | | (148) host(all_73_8) = all_234_3 % 24.30/4.24 | | | | | | | (149) s(all_234_8) = all_234_7 % 24.30/4.24 | | | | | | | (150) leq(nbr_proc, all_234_7) = all_234_6 % 24.30/4.24 | | | | | | | (151) index(pendack, all_68_1) = all_234_8 % 24.30/4.24 | | | | | | | (152) index(status, all_68_1) = all_234_5 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | GROUND_INST: instantiating (13) with 0, all_228_4, alive, % 24.30/4.24 | | | | | | | all_73_7, simplifying with (101), (128) gives: % 24.30/4.24 | | | | | | | (153) all_228_4 = 0 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | GROUND_INST: instantiating (13) with all_228_4, all_230_4, alive, % 24.30/4.24 | | | | | | | all_73_7, simplifying with (128), (131) gives: % 24.30/4.24 | | | | | | | (154) all_230_4 = all_228_4 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | GROUND_INST: instantiating (13) with all_230_4, all_232_9, alive, % 24.30/4.24 | | | | | | | all_73_7, simplifying with (131), (134) gives: % 24.30/4.24 | | | | | | | (155) all_232_9 = all_230_4 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | GROUND_INST: instantiating (13) with all_232_9, all_234_9, alive, % 24.30/4.24 | | | | | | | all_73_7, simplifying with (134), (146) gives: % 24.30/4.24 | | | | | | | (156) all_234_9 = all_232_9 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | GROUND_INST: instantiating (13) with all_226_4, all_234_9, alive, % 24.30/4.24 | | | | | | | all_73_7, simplifying with (122), (146) gives: % 24.30/4.24 | | | | | | | (157) all_234_9 = all_226_4 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | GROUND_INST: instantiating (10) with all_71_3, all_226_2, % 24.30/4.24 | | | | | | | all_71_4, simplifying with (41), (123) gives: % 24.30/4.24 | | | | | | | (158) all_226_2 = all_71_3 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | GROUND_INST: instantiating (10) with all_226_2, all_232_2, % 24.30/4.24 | | | | | | | all_71_4, simplifying with (123), (135) gives: % 24.30/4.24 | | | | | | | (159) all_232_2 = all_226_2 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | GROUND_INST: instantiating (10) with all_224_2, all_232_2, % 24.30/4.24 | | | | | | | all_71_4, simplifying with (119), (135) gives: % 24.30/4.24 | | | | | | | (160) all_232_2 = all_224_2 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | GROUND_INST: instantiating (10) with all_73_5, all_230_2, % 24.30/4.24 | | | | | | | all_73_9, simplifying with (60), (132) gives: % 24.30/4.24 | | | | | | | (161) all_230_2 = all_73_5 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | GROUND_INST: instantiating (10) with all_232_4, all_234_4, % 24.30/4.24 | | | | | | | all_73_9, simplifying with (136), (147) gives: % 24.30/4.24 | | | | | | | (162) all_234_4 = all_232_4 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | GROUND_INST: instantiating (10) with all_230_2, all_234_4, % 24.30/4.24 | | | | | | | all_73_9, simplifying with (132), (147) gives: % 24.30/4.24 | | | | | | | (163) all_234_4 = all_230_2 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | GROUND_INST: instantiating (10) with all_220_2, all_234_4, % 24.30/4.24 | | | | | | | all_73_9, simplifying with (117), (147) gives: % 24.30/4.24 | | | | | | | (164) all_234_4 = all_220_2 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | GROUND_INST: instantiating (10) with nbr_proc, all_226_3, % 24.30/4.24 | | | | | | | all_73_8, simplifying with (98), (124) gives: % 24.30/4.24 | | | | | | | (165) all_226_3 = nbr_proc % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | GROUND_INST: instantiating (10) with all_226_3, all_228_3, % 24.30/4.24 | | | | | | | all_73_8, simplifying with (124), (129) gives: % 24.30/4.24 | | | | | | | (166) all_228_3 = all_226_3 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | GROUND_INST: instantiating (10) with all_228_3, all_232_3, % 24.30/4.24 | | | | | | | all_73_8, simplifying with (129), (137) gives: % 24.30/4.24 | | | | | | | (167) all_232_3 = all_228_3 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | GROUND_INST: instantiating (10) with all_232_3, all_234_3, % 24.30/4.24 | | | | | | | all_73_8, simplifying with (137), (148) gives: % 24.30/4.24 | | | | | | | (168) all_234_3 = all_232_3 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | GROUND_INST: instantiating (10) with all_218_0, all_234_3, % 24.30/4.24 | | | | | | | all_73_8, simplifying with (115), (148) gives: % 24.30/4.24 | | | | | | | (169) all_234_3 = all_218_0 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | GROUND_INST: instantiating (15) with all_73_5, all_234_8, % 24.30/4.24 | | | | | | | all_68_1, pendack, simplifying with (68), (151) % 24.30/4.24 | | | | | | | gives: % 24.30/4.24 | | | | | | | (170) all_234_8 = all_73_5 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | GROUND_INST: instantiating (15) with all_232_8, all_234_8, % 24.30/4.24 | | | | | | | all_68_1, pendack, simplifying with (140), (151) % 24.30/4.24 | | | | | | | gives: % 24.30/4.24 | | | | | | | (171) all_234_8 = all_232_8 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | GROUND_INST: instantiating (15) with elec_2, all_234_5, all_68_1, % 24.30/4.24 | | | | | | | status, simplifying with (69), (152) gives: % 24.30/4.24 | | | | | | | (172) all_234_5 = elec_2 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | GROUND_INST: instantiating (15) with all_232_5, all_234_5, % 24.30/4.24 | | | | | | | all_68_1, status, simplifying with (141), (152) % 24.30/4.24 | | | | | | | gives: % 24.30/4.24 | | | | | | | (173) all_234_5 = all_232_5 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | COMBINE_EQS: (168), (169) imply: % 24.30/4.24 | | | | | | | (174) all_232_3 = all_218_0 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | SIMP: (174) implies: % 24.30/4.24 | | | | | | | (175) all_232_3 = all_218_0 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | COMBINE_EQS: (162), (164) imply: % 24.30/4.24 | | | | | | | (176) all_232_4 = all_220_2 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | COMBINE_EQS: (162), (163) imply: % 24.30/4.24 | | | | | | | (177) all_232_4 = all_230_2 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | COMBINE_EQS: (172), (173) imply: % 24.30/4.24 | | | | | | | (178) all_232_5 = elec_2 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | COMBINE_EQS: (170), (171) imply: % 24.30/4.24 | | | | | | | (179) all_232_8 = all_73_5 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | COMBINE_EQS: (156), (157) imply: % 24.30/4.24 | | | | | | | (180) all_232_9 = all_226_4 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | SIMP: (180) implies: % 24.30/4.24 | | | | | | | (181) all_232_9 = all_226_4 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | COMBINE_EQS: (159), (160) imply: % 24.30/4.24 | | | | | | | (182) all_226_2 = all_224_2 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | SIMP: (182) implies: % 24.30/4.24 | | | | | | | (183) all_226_2 = all_224_2 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | COMBINE_EQS: (167), (175) imply: % 24.30/4.24 | | | | | | | (184) all_228_3 = all_218_0 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | SIMP: (184) implies: % 24.30/4.24 | | | | | | | (185) all_228_3 = all_218_0 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | COMBINE_EQS: (176), (177) imply: % 24.30/4.24 | | | | | | | (186) all_230_2 = all_220_2 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | SIMP: (186) implies: % 24.30/4.24 | | | | | | | (187) all_230_2 = all_220_2 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | COMBINE_EQS: (155), (181) imply: % 24.30/4.24 | | | | | | | (188) all_230_4 = all_226_4 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | SIMP: (188) implies: % 24.30/4.24 | | | | | | | (189) all_230_4 = all_226_4 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | COMBINE_EQS: (161), (187) imply: % 24.30/4.24 | | | | | | | (190) all_220_2 = all_73_5 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | COMBINE_EQS: (154), (189) imply: % 24.30/4.24 | | | | | | | (191) all_228_4 = all_226_4 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | SIMP: (191) implies: % 24.30/4.24 | | | | | | | (192) all_228_4 = all_226_4 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | COMBINE_EQS: (166), (185) imply: % 24.30/4.24 | | | | | | | (193) all_226_3 = all_218_0 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | SIMP: (193) implies: % 24.30/4.24 | | | | | | | (194) all_226_3 = all_218_0 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | COMBINE_EQS: (153), (192) imply: % 24.30/4.24 | | | | | | | (195) all_226_4 = 0 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | COMBINE_EQS: (158), (183) imply: % 24.30/4.24 | | | | | | | (196) all_224_2 = all_71_3 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | COMBINE_EQS: (165), (194) imply: % 24.30/4.24 | | | | | | | (197) all_218_0 = nbr_proc % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | SIMP: (197) implies: % 24.30/4.24 | | | | | | | (198) all_218_0 = nbr_proc % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | COMBINE_EQS: (181), (195) imply: % 24.30/4.24 | | | | | | | (199) all_232_9 = 0 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | COMBINE_EQS: (176), (190) imply: % 24.30/4.24 | | | | | | | (200) all_232_4 = all_73_5 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | COMBINE_EQS: (175), (198) imply: % 24.30/4.24 | | | | | | | (201) all_232_3 = nbr_proc % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | COMBINE_EQS: (160), (196) imply: % 24.30/4.24 | | | | | | | (202) all_232_2 = all_71_3 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | REDUCE: (143), (202) imply: % 24.30/4.24 | | | | | | | (203) index(ldr, all_71_3) = all_232_1 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | REDUCE: (126), (158) imply: % 24.30/4.24 | | | | | | | (204) index(ldr, all_71_3) = all_226_1 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | REDUCE: (142), (202) imply: % 24.30/4.24 | | | | | | | (205) index(status, all_71_3) = all_232_0 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | REDUCE: (125), (158) imply: % 24.30/4.24 | | | | | | | (206) index(status, all_71_3) = all_226_0 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | REDUCE: (120), (196) imply: % 24.30/4.24 | | | | | | | (207) index(status, all_71_3) = all_224_1 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | REDUCE: (149), (170) imply: % 24.30/4.24 | | | | | | | (208) s(all_73_5) = all_234_7 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | REDUCE: (138), (179) imply: % 24.30/4.24 | | | | | | | (209) s(all_73_5) = all_232_7 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | GROUND_INST: instantiating (11) with nbr_proc, all_234_7, % 24.30/4.24 | | | | | | | all_73_5, simplifying with (97), (208) gives: % 24.30/4.24 | | | | | | | (210) all_234_7 = nbr_proc % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | GROUND_INST: instantiating (11) with all_232_7, all_234_7, % 24.30/4.24 | | | | | | | all_73_5, simplifying with (208), (209) gives: % 24.30/4.24 | | | | | | | (211) all_234_7 = all_232_7 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | GROUND_INST: instantiating (15) with norm, all_226_0, all_71_3, % 24.30/4.24 | | | | | | | status, simplifying with (73), (206) gives: % 24.30/4.24 | | | | | | | (212) all_226_0 = norm % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | GROUND_INST: instantiating (15) with all_226_0, all_232_0, % 24.30/4.24 | | | | | | | all_71_3, status, simplifying with (205), (206) % 24.30/4.24 | | | | | | | gives: % 24.30/4.24 | | | | | | | (213) all_232_0 = all_226_0 % 24.30/4.24 | | | | | | | % 24.30/4.24 | | | | | | | GROUND_INST: instantiating (15) with all_224_1, all_232_0, % 24.30/4.24 | | | | | | | all_71_3, status, simplifying with (205), (207) % 24.30/4.24 | | | | | | | gives: % 24.30/4.24 | | | | | | | (214) all_232_0 = all_224_1 % 24.30/4.24 | | | | | | | % 24.30/4.25 | | | | | | | GROUND_INST: instantiating (15) with all_71_3, all_232_1, % 24.30/4.25 | | | | | | | all_71_3, ldr, simplifying with (72), (203) gives: % 24.30/4.25 | | | | | | | (215) all_232_1 = all_71_3 % 24.30/4.25 | | | | | | | % 24.30/4.25 | | | | | | | GROUND_INST: instantiating (15) with all_226_1, all_232_1, % 24.30/4.25 | | | | | | | all_71_3, ldr, simplifying with (203), (204) gives: % 24.30/4.25 | | | | | | | (216) all_232_1 = all_226_1 % 24.30/4.25 | | | | | | | % 24.30/4.25 | | | | | | | COMBINE_EQS: (210), (211) imply: % 24.30/4.25 | | | | | | | (217) all_232_7 = nbr_proc % 24.30/4.25 | | | | | | | % 24.30/4.25 | | | | | | | COMBINE_EQS: (213), (214) imply: % 24.30/4.25 | | | | | | | (218) all_226_0 = all_224_1 % 24.30/4.25 | | | | | | | % 24.30/4.25 | | | | | | | SIMP: (218) implies: % 24.30/4.25 | | | | | | | (219) all_226_0 = all_224_1 % 24.30/4.25 | | | | | | | % 24.30/4.25 | | | | | | | COMBINE_EQS: (215), (216) imply: % 24.30/4.25 | | | | | | | (220) all_226_1 = all_71_3 % 24.30/4.25 | | | | | | | % 24.30/4.25 | | | | | | | COMBINE_EQS: (212), (219) imply: % 24.30/4.25 | | | | | | | (221) all_224_1 = norm % 24.30/4.25 | | | | | | | % 24.30/4.25 | | | | | | | COMBINE_EQS: (214), (221) imply: % 24.30/4.25 | | | | | | | (222) all_232_0 = norm % 24.30/4.25 | | | | | | | % 24.30/4.25 | | | | | | | REDUCE: (150), (210) imply: % 24.30/4.25 | | | | | | | (223) leq(nbr_proc, nbr_proc) = all_234_6 % 24.30/4.25 | | | | | | | % 24.30/4.25 | | | | | | | REDUCE: (139), (217) imply: % 24.30/4.25 | | | | | | | (224) leq(nbr_proc, nbr_proc) = all_232_6 % 24.30/4.25 | | | | | | | % 24.30/4.25 | | | | | | | BETA: splitting (144) gives: % 24.30/4.25 | | | | | | | % 24.30/4.25 | | | | | | | Case 1: % 24.30/4.25 | | | | | | | | % 24.30/4.25 | | | | | | | | (225) ~ (all_232_5 = elec_2) % 24.30/4.25 | | | | | | | | % 24.30/4.25 | | | | | | | | REDUCE: (178), (225) imply: % 24.30/4.25 | | | | | | | | (226) $false % 24.30/4.25 | | | | | | | | % 24.30/4.25 | | | | | | | | CLOSE: (226) is inconsistent. % 24.30/4.25 | | | | | | | | % 24.30/4.25 | | | | | | | Case 2: % 24.30/4.25 | | | | | | | | % 24.30/4.25 | | | | | | | | (227) ~ (all_232_0 = norm) | ~ (all_232_1 = all_232_2) | ~ % 24.30/4.25 | | | | | | | | (all_232_3 = all_232_7) | ~ (all_232_4 = all_232_8) | % 24.30/4.25 | | | | | | | | ~ (all_232_6 = 0) | ~ (all_232_9 = 0) % 24.30/4.25 | | | | | | | | % 24.30/4.25 | | | | | | | | BETA: splitting (227) gives: % 24.30/4.25 | | | | | | | | % 24.30/4.25 | | | | | | | | Case 1: % 24.30/4.25 | | | | | | | | | % 24.30/4.25 | | | | | | | | | (228) ~ (all_232_6 = 0) % 24.30/4.25 | | | | | | | | | % 24.30/4.25 | | | | | | | | | GROUND_INST: instantiating (14) with 0, all_234_6, nbr_proc, % 24.30/4.25 | | | | | | | | | nbr_proc, simplifying with (96), (223) gives: % 24.30/4.25 | | | | | | | | | (229) all_234_6 = 0 % 24.30/4.25 | | | | | | | | | % 24.30/4.25 | | | | | | | | | GROUND_INST: instantiating (14) with all_232_6, all_234_6, % 24.30/4.25 | | | | | | | | | nbr_proc, nbr_proc, simplifying with (223), (224) % 24.30/4.25 | | | | | | | | | gives: % 24.30/4.25 | | | | | | | | | (230) all_234_6 = all_232_6 % 24.30/4.25 | | | | | | | | | % 24.30/4.25 | | | | | | | | | COMBINE_EQS: (229), (230) imply: % 24.30/4.25 | | | | | | | | | (231) all_232_6 = 0 % 24.30/4.25 | | | | | | | | | % 24.30/4.25 | | | | | | | | | REDUCE: (228), (231) imply: % 24.30/4.25 | | | | | | | | | (232) $false % 24.30/4.25 | | | | | | | | | % 24.30/4.25 | | | | | | | | | CLOSE: (232) is inconsistent. % 24.30/4.25 | | | | | | | | | % 24.30/4.25 | | | | | | | | Case 2: % 24.30/4.25 | | | | | | | | | % 24.30/4.25 | | | | | | | | | (233) ~ (all_232_0 = norm) | ~ (all_232_1 = all_232_2) | % 24.30/4.25 | | | | | | | | | ~ (all_232_3 = all_232_7) | ~ (all_232_4 = % 24.30/4.25 | | | | | | | | | all_232_8) | ~ (all_232_9 = 0) % 24.30/4.25 | | | | | | | | | % 24.30/4.25 | | | | | | | | | BETA: splitting (233) gives: % 24.30/4.25 | | | | | | | | | % 24.30/4.25 | | | | | | | | | Case 1: % 24.30/4.25 | | | | | | | | | | % 24.30/4.25 | | | | | | | | | | (234) ~ (all_232_9 = 0) % 24.30/4.25 | | | | | | | | | | % 24.30/4.25 | | | | | | | | | | REDUCE: (199), (234) imply: % 24.30/4.25 | | | | | | | | | | (235) $false % 24.30/4.25 | | | | | | | | | | % 24.30/4.25 | | | | | | | | | | CLOSE: (235) is inconsistent. % 24.30/4.25 | | | | | | | | | | % 24.30/4.25 | | | | | | | | | Case 2: % 24.30/4.25 | | | | | | | | | | % 24.30/4.25 | | | | | | | | | | (236) ~ (all_232_0 = norm) | ~ (all_232_1 = all_232_2) % 24.30/4.25 | | | | | | | | | | | ~ (all_232_3 = all_232_7) | ~ (all_232_4 = % 24.30/4.25 | | | | | | | | | | all_232_8) % 24.30/4.25 | | | | | | | | | | % 24.30/4.25 | | | | | | | | | | BETA: splitting (236) gives: % 24.30/4.25 | | | | | | | | | | % 24.30/4.25 | | | | | | | | | | Case 1: % 24.30/4.25 | | | | | | | | | | | % 24.30/4.25 | | | | | | | | | | | (237) ~ (all_232_0 = norm) % 24.30/4.25 | | | | | | | | | | | % 24.30/4.25 | | | | | | | | | | | REDUCE: (222), (237) imply: % 24.30/4.25 | | | | | | | | | | | (238) $false % 24.30/4.25 | | | | | | | | | | | % 24.30/4.25 | | | | | | | | | | | CLOSE: (238) is inconsistent. % 24.30/4.25 | | | | | | | | | | | % 24.30/4.25 | | | | | | | | | | Case 2: % 24.30/4.25 | | | | | | | | | | | % 24.30/4.25 | | | | | | | | | | | (239) ~ (all_232_1 = all_232_2) | ~ (all_232_3 = % 24.30/4.25 | | | | | | | | | | | all_232_7) | ~ (all_232_4 = all_232_8) % 24.30/4.25 | | | | | | | | | | | % 24.30/4.25 | | | | | | | | | | | BETA: splitting (239) gives: % 24.30/4.25 | | | | | | | | | | | % 24.30/4.25 | | | | | | | | | | | Case 1: % 24.30/4.25 | | | | | | | | | | | | % 24.30/4.25 | | | | | | | | | | | | (240) ~ (all_232_1 = all_232_2) % 24.30/4.25 | | | | | | | | | | | | % 24.30/4.25 | | | | | | | | | | | | REDUCE: (202), (215), (240) imply: % 24.30/4.25 | | | | | | | | | | | | (241) $false % 24.30/4.25 | | | | | | | | | | | | % 24.30/4.25 | | | | | | | | | | | | CLOSE: (241) is inconsistent. % 24.30/4.25 | | | | | | | | | | | | % 24.30/4.25 | | | | | | | | | | | Case 2: % 24.30/4.25 | | | | | | | | | | | | % 24.30/4.25 | | | | | | | | | | | | (242) ~ (all_232_3 = all_232_7) | ~ (all_232_4 = % 24.30/4.25 | | | | | | | | | | | | all_232_8) % 24.30/4.25 | | | | | | | | | | | | % 24.30/4.25 | | | | | | | | | | | | BETA: splitting (242) gives: % 24.30/4.25 | | | | | | | | | | | | % 24.30/4.25 | | | | | | | | | | | | Case 1: % 24.30/4.25 | | | | | | | | | | | | | % 24.30/4.25 | | | | | | | | | | | | | (243) ~ (all_232_3 = all_232_7) % 24.30/4.25 | | | | | | | | | | | | | % 24.30/4.25 | | | | | | | | | | | | | REDUCE: (201), (217), (243) imply: % 24.30/4.25 | | | | | | | | | | | | | (244) $false % 24.30/4.25 | | | | | | | | | | | | | % 24.30/4.25 | | | | | | | | | | | | | CLOSE: (244) is inconsistent. % 24.30/4.25 | | | | | | | | | | | | | % 24.30/4.25 | | | | | | | | | | | | Case 2: % 24.30/4.25 | | | | | | | | | | | | | % 24.30/4.25 | | | | | | | | | | | | | (245) ~ (all_232_4 = all_232_8) % 24.30/4.25 | | | | | | | | | | | | | % 24.30/4.25 | | | | | | | | | | | | | REDUCE: (179), (200), (245) imply: % 24.30/4.25 | | | | | | | | | | | | | (246) $false % 24.30/4.25 | | | | | | | | | | | | | % 24.30/4.25 | | | | | | | | | | | | | CLOSE: (246) is inconsistent. % 24.30/4.25 | | | | | | | | | | | | | % 24.30/4.25 | | | | | | | | | | | | End of split % 24.30/4.25 | | | | | | | | | | | | % 24.30/4.25 | | | | | | | | | | | End of split % 24.30/4.25 | | | | | | | | | | | % 24.30/4.25 | | | | | | | | | | End of split % 24.30/4.25 | | | | | | | | | | % 24.30/4.25 | | | | | | | | | End of split % 24.30/4.25 | | | | | | | | | % 24.30/4.25 | | | | | | | | End of split % 24.30/4.25 | | | | | | | | % 24.30/4.25 | | | | | | | End of split % 24.30/4.25 | | | | | | | % 24.30/4.25 | | | | | | Case 2: % 24.30/4.25 | | | | | | | % 24.30/4.25 | | | | | | | (247) all_73_0 = all_68_0 % 24.30/4.25 | | | | | | | % 24.30/4.25 | | | | | | | REDUCE: (63), (247) imply: % 24.30/4.25 | | | | | | | (248) m_Ack(all_73_7, all_73_9) = all_68_0 % 24.30/4.25 | | | | | | | % 24.30/4.25 | | | | | | | GROUND_INST: instantiating (axiom_11) with all_73_7, all_73_9, % 24.30/4.25 | | | | | | | all_68_5, all_68_0, simplifying with (25), (29), % 24.30/4.25 | | | | | | | (49), (51), (248) gives: % 24.30/4.25 | | | | | | | (249) $false % 24.30/4.25 | | | | | | | % 24.30/4.25 | | | | | | | CLOSE: (249) is inconsistent. % 24.30/4.25 | | | | | | | % 24.30/4.25 | | | | | | End of split % 24.30/4.25 | | | | | | % 24.30/4.25 | | | | | Case 2: % 24.30/4.25 | | | | | | % 24.30/4.25 | | | | | | (250) all_73_3 = all_68_0 % 24.30/4.25 | | | | | | % 24.30/4.25 | | | | | | REDUCE: (86), (250) imply: % 24.30/4.25 | | | | | | (251) pidMsg(all_68_0) = all_73_8 % 24.30/4.25 | | | | | | % 24.30/4.25 | | | | | | GROUND_INST: instantiating (12) with all_68_5, all_73_8, all_68_0, % 24.30/4.25 | | | | | | simplifying with (85), (251) gives: % 24.30/4.25 | | | | | | (252) all_73_8 = all_68_5 % 24.30/4.25 | | | | | | % 24.30/4.25 | | | | | | REDUCE: (98), (252) imply: % 24.30/4.25 | | | | | | (253) host(all_68_5) = nbr_proc % 24.30/4.25 | | | | | | % 24.30/4.25 | | | | | | GROUND_INST: instantiating (10) with all_61_0, nbr_proc, all_68_5, % 24.30/4.25 | | | | | | simplifying with (80), (253) gives: % 24.30/4.25 | | | | | | (254) all_61_0 = nbr_proc % 24.30/4.25 | | | | | | % 24.30/4.25 | | | | | | REDUCE: (94), (254) imply: % 24.30/4.25 | | | | | | (255) $false % 24.30/4.25 | | | | | | % 24.30/4.25 | | | | | | CLOSE: (255) is inconsistent. % 24.30/4.25 | | | | | | % 24.30/4.25 | | | | | End of split % 24.30/4.25 | | | | | % 24.30/4.25 | | | | Case 2: % 24.30/4.25 | | | | | % 24.30/4.25 | | | | | (256) all_71_4 = all_68_5 % 24.30/4.25 | | | | | % 24.30/4.25 | | | | | REDUCE: (41), (256) imply: % 24.30/4.25 | | | | | (257) host(all_68_5) = all_71_3 % 24.30/4.25 | | | | | % 24.30/4.25 | | | | | GROUND_INST: instantiating (10) with all_61_0, all_71_3, all_68_5, % 24.30/4.25 | | | | | simplifying with (80), (257) gives: % 24.30/4.25 | | | | | (258) all_71_3 = all_61_0 % 24.30/4.25 | | | | | % 24.30/4.25 | | | | | REDUCE: (77), (258) imply: % 24.30/4.25 | | | | | (259) $false % 24.30/4.25 | | | | | % 24.30/4.25 | | | | | CLOSE: (259) is inconsistent. % 24.30/4.25 | | | | | % 24.30/4.25 | | | | End of split % 24.30/4.25 | | | | % 24.30/4.25 | | | Case 2: % 24.30/4.25 | | | | % 24.30/4.25 | | | | (260) all_73_7 = all_68_5 % 24.30/4.25 | | | | % 24.30/4.25 | | | | REDUCE: (62), (260) imply: % 24.30/4.25 | | | | (261) host(all_68_5) = all_68_1 % 24.30/4.25 | | | | % 24.30/4.25 | | | | GROUND_INST: instantiating (10) with all_61_0, all_68_1, all_68_5, % 24.30/4.25 | | | | simplifying with (80), (261) gives: % 24.30/4.25 | | | | (262) all_68_1 = all_61_0 % 24.30/4.25 | | | | % 24.30/4.25 | | | | REDUCE: (78), (262) imply: % 24.30/4.25 | | | | (263) $false % 24.30/4.25 | | | | % 24.30/4.25 | | | | CLOSE: (263) is inconsistent. % 24.30/4.25 | | | | % 24.30/4.25 | | | End of split % 24.30/4.25 | | | % 24.30/4.25 | | Case 2: % 24.30/4.25 | | | % 24.30/4.25 | | | (264) ? [v0: int] : ( ~ (v0 = 0) & leq(all_73_4, nbr_proc) = v0) % 24.30/4.25 | | | % 24.30/4.25 | | | DELTA: instantiating (264) with fresh symbol all_103_0 gives: % 24.30/4.25 | | | (265) ~ (all_103_0 = 0) & leq(all_73_4, nbr_proc) = all_103_0 % 24.30/4.25 | | | % 24.30/4.25 | | | ALPHA: (265) implies: % 24.30/4.25 | | | (266) ~ (all_103_0 = 0) % 24.30/4.25 | | | (267) leq(all_73_4, nbr_proc) = all_103_0 % 24.30/4.25 | | | % 24.30/4.25 | | | GROUND_INST: instantiating (14) with 0, all_103_0, nbr_proc, all_73_4, % 24.30/4.25 | | | simplifying with (82), (267) gives: % 24.30/4.25 | | | (268) all_103_0 = 0 % 24.30/4.25 | | | % 24.30/4.25 | | | REDUCE: (266), (268) imply: % 24.30/4.25 | | | (269) $false % 24.30/4.25 | | | % 24.30/4.25 | | | CLOSE: (269) is inconsistent. % 24.30/4.25 | | | % 24.30/4.25 | | End of split % 24.30/4.25 | | % 24.30/4.25 | End of split % 24.30/4.25 | % 24.30/4.25 End of proof % 24.30/4.25 % SZS output end Proof for theBenchmark % 24.30/4.25 % 24.30/4.25 3579ms %------------------------------------------------------------------------------