%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SWV457+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 : n016.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 22:56:33 EDT 2023 % Result : Theorem 61.66s 8.82s % Output : Proof 70.05s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SWV457+1 : TPTP v8.1.2. Released v4.0.0. % 0.03/0.12 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.12/0.33 % Computer : n016.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Tue Aug 29 07:09:30 EDT 2023 % 0.12/0.33 % CPUTime : % 0.66/0.63 ________ _____ % 0.66/0.63 ___ __ \_________(_)________________________________ % 0.66/0.63 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.66/0.63 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.66/0.63 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.66/0.63 % 0.66/0.63 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.66/0.63 (2023-06-19) % 0.66/0.63 % 0.66/0.63 (c) Philipp Rümmer, 2009-2023 % 0.66/0.63 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.66/0.63 Amanda Stjerna. % 0.66/0.63 Free software under BSD-3-Clause. % 0.66/0.63 % 0.66/0.63 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.66/0.63 % 0.66/0.63 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.66/0.65 Running up to 7 provers in parallel. % 0.72/0.67 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.72/0.67 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.72/0.67 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.72/0.67 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.72/0.67 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.72/0.67 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.72/0.67 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.90/1.24 Prover 4: Preprocessing ... % 4.03/1.25 Prover 1: Preprocessing ... % 4.03/1.28 Prover 6: Preprocessing ... % 4.03/1.28 Prover 2: Preprocessing ... % 4.03/1.28 Prover 5: Preprocessing ... % 4.03/1.28 Prover 3: Preprocessing ... % 4.03/1.28 Prover 0: Preprocessing ... % 10.75/2.16 Prover 1: Constructing countermodel ... % 10.75/2.18 Prover 6: Proving ... % 10.75/2.20 Prover 3: Constructing countermodel ... % 11.42/2.24 Prover 5: Proving ... % 11.91/2.33 Prover 2: Proving ... % 12.79/2.42 Prover 0: Proving ... % 12.79/2.42 Prover 4: Constructing countermodel ... % 16.44/2.93 Prover 3: gave up % 16.44/2.94 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 17.61/3.05 Prover 7: Preprocessing ... % 19.87/3.43 Prover 7: Warning: ignoring some quantifiers % 20.54/3.46 Prover 7: Constructing countermodel ... % 56.97/8.17 Prover 1: gave up % 56.97/8.18 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 57.64/8.26 Prover 8: Preprocessing ... % 59.12/8.41 Prover 8: Warning: ignoring some quantifiers % 59.12/8.42 Prover 8: Constructing countermodel ... % 61.66/8.82 Prover 2: proved (8108ms) % 61.66/8.82 % 61.66/8.82 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 61.66/8.82 % 61.66/8.82 Prover 0: stopped % 61.66/8.82 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 61.66/8.82 Prover 5: stopped % 62.34/8.84 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 62.34/8.84 Prover 6: stopped % 62.34/8.85 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 62.34/8.85 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 62.34/8.87 Prover 10: Preprocessing ... % 62.87/8.90 Prover 16: Preprocessing ... % 62.87/8.91 Prover 11: Preprocessing ... % 62.87/8.94 Prover 13: Preprocessing ... % 63.48/9.00 Prover 16: Warning: ignoring some quantifiers % 63.73/9.00 Prover 10: Warning: ignoring some quantifiers % 63.73/9.01 Prover 16: Constructing countermodel ... % 63.73/9.01 Prover 10: Constructing countermodel ... % 64.69/9.14 Prover 13: Warning: ignoring some quantifiers % 64.69/9.15 Prover 13: Constructing countermodel ... % 65.24/9.19 Prover 11: Constructing countermodel ... % 68.74/9.71 Prover 10: Found proof (size 119) % 68.74/9.71 Prover 10: proved (892ms) % 68.74/9.71 Prover 11: stopped % 68.74/9.71 Prover 13: stopped % 68.74/9.71 Prover 16: stopped % 68.74/9.71 Prover 8: stopped % 68.74/9.71 Prover 7: stopped % 68.74/9.73 Prover 4: stopped % 68.74/9.73 % 68.74/9.73 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 68.74/9.73 % 69.43/9.74 % SZS output start Proof for theBenchmark % 69.43/9.74 Assumptions after simplification: % 69.43/9.74 --------------------------------- % 69.43/9.74 % 69.43/9.74 (axiom_04) % 69.43/9.76 $i(nbr_proc) & ! [v0: $i] : ! [v1: $i] : ( ~ (host(v0) = v1) | ~ $i(v0) | % 69.43/9.76 leq(v1, nbr_proc)) % 69.43/9.76 % 69.43/9.76 (axiom_31) % 69.43/9.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 % 69.43/9.77 | ~ (m_Ack(v1, v3) = v4) | ~ (m_Ack(v0, v2) = v4) | ~ $i(v3) | ~ $i(v2) % 69.43/9.77 | ~ $i(v1) | ~ $i(v0)) % 69.43/9.77 % 69.43/9.77 (axiom_32) % 69.43/9.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v3 = v2 % 69.43/9.77 | ~ (m_Ack(v1, v3) = v4) | ~ (m_Ack(v0, v2) = v4) | ~ $i(v3) | ~ $i(v2) % 69.43/9.77 | ~ $i(v1) | ~ $i(v0)) % 69.43/9.77 % 69.43/9.77 (axiom_46) % 69.43/9.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 69.43/9.77 (cons(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ elem(v0, v3) | % 69.43/9.77 elem(v0, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 69.43/9.77 (cons(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ elem(v0, v2) | % 69.43/9.77 elem(v0, v3)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (cons(v0, v1) % 69.43/9.77 = v2) | ~ $i(v1) | ~ $i(v0) | elem(v0, v2)) % 69.43/9.77 % 69.43/9.77 (axiom_47) % 69.43/9.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 69.43/9.77 (snoc(v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ elem(v0, v3) | % 69.43/9.77 elem(v0, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 69.43/9.77 (snoc(v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ elem(v0, v2) | % 69.43/9.77 elem(v0, v3)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (snoc(v1, v0) % 69.43/9.77 = v2) | ~ $i(v1) | ~ $i(v0) | elem(v0, v2)) % 69.43/9.77 % 69.43/9.77 (axiom_61) % 69.43/9.77 ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ $i(v1) | ~ $i(v0) | ~ leq(v1, v0) % 69.43/9.77 | ~ leq(v0, v1)) & ? [v0: $i] : ( ~ $i(v0) | leq(v0, v0)) % 69.43/9.77 % 69.43/9.77 (axiom_62) % 69.43/9.78 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 69.43/9.78 ~ leq(v1, v2) | ~ leq(v0, v1) | leq(v0, v2)) % 69.43/9.78 % 69.43/9.78 (conj) % 69.70/9.80 $i(ldr) & $i(down) & $i(elid) & $i(status) & $i(pendack) & $i(alive) & % 69.70/9.80 $i(norm) & $i(elec_1) & $i(elec_2) & $i(nbr_proc) & $i(pids) & ? [v0: $i] : % 69.70/9.80 ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: % 69.70/9.80 $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] % 69.70/9.80 : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15: $i] : ( ~ (v9 = v3) & % 69.70/9.80 ~ (v6 = v3) & index(ldr, v9) = v9 & index(status, v9) = norm & index(status, % 69.70/9.80 v6) = elec_2 & index(pendack, v6) = v12 & snoc(v14, v7) = v15 & cons(v5, % 69.70/9.80 v0) = v4 & m_Halt(v2) = v5 & m_Ack(v11, v10) = v13 & m_Ack(v2, v1) = v7 & % 69.70/9.80 host(v11) = v6 & host(v10) = v12 & host(v8) = v9 & host(v2) = v6 & host(v1) % 69.70/9.80 = v3 & queue(v6) = v14 & queue(v3) = v4 & $i(v15) & $i(v14) & $i(v13) & % 69.70/9.80 $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & % 69.70/9.80 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & leq(nbr_proc, v12) & setIn(v11, % 69.70/9.80 alive) & setIn(v8, alive) & setIn(v1, alive) & elem(v13, v15) & ! [v16: % 69.70/9.80 $i] : ! [v17: $i] : ! [v18: $i] : ! [v19: $i] : ! [v20: $i] : ! [v21: % 69.70/9.80 $i] : ( ~ (m_Halt(v18) = v20) | ~ (host(v17) = v21) | ~ (host(v16) = % 69.70/9.80 v19) | ~ $i(v18) | ~ $i(v17) | ~ $i(v16) | ~ setIn(v18, alive) | ~ % 69.70/9.80 setIn(v16, alive) | ? [v22: $i] : ? [v23: $i] : ? [v24: $i] : ? [v25: % 69.70/9.80 $i] : ? [v26: $i] : ? [v27: $i] : (( ~ (v27 = norm) & index(status, % 69.70/9.80 v19) = v27 & $i(v27)) | ( ~ (v26 = v19) & index(ldr, v19) = v26 & % 69.70/9.80 $i(v26)) | ( ~ (v25 = elec_2) & index(status, v22) = v25 & host(v18) = % 69.70/9.80 v22 & $i(v25) & $i(v22)) | (index(pendack, v22) = v23 & host(v18) = % 69.70/9.80 v22 & $i(v23) & $i(v22) & leq(v23, v19)) | (queue(v21) = v24 & $i(v24) % 69.70/9.80 & ~ elem(v20, v24)))) & ! [v16: $i] : ! [v17: $i] : ! [v18: $i] : % 69.70/9.80 ! [v19: $i] : ! [v20: $i] : ( ~ (m_Down(v16) = v19) | ~ (m_Ack(v18, v17) = % 69.70/9.80 v20) | ~ $i(v18) | ~ $i(v17) | ~ $i(v16) | ~ setIn(v18, alive) | ? % 69.70/9.80 [v21: $i] : ? [v22: $i] : ? [v23: $i] : ? [v24: $i] : ? [v25: $i] : (( % 69.70/9.80 ~ (v25 = v23) & host(v18) = v23 & host(v16) = v25 & $i(v25) & $i(v23)) % 69.70/9.80 | (host(v18) = v23 & queue(v23) = v24 & $i(v24) & $i(v23) & ~ elem(v20, % 69.70/9.80 v24)) | (host(v17) = v21 & queue(v21) = v22 & $i(v22) & $i(v21) & ~ % 69.70/9.80 elem(v19, v22)))) & ! [v16: $i] : ! [v17: $i] : ! [v18: $i] : ! % 69.70/9.80 [v19: $i] : ! [v20: $i] : ( ~ (m_Ack(v18, v17) = v19) | ~ (host(v16) = % 69.70/9.80 v20) | ~ $i(v18) | ~ $i(v17) | ~ $i(v16) | ~ setIn(v18, alive) | ~ % 69.70/9.80 setIn(v16, alive) | ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ? [v24: % 69.70/9.80 $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : (( ~ (v27 = norm) & % 69.70/9.80 index(status, v20) = v27 & $i(v27)) | ( ~ (v26 = v20) & index(ldr, % 69.70/9.80 v20) = v26 & $i(v26)) | (host(v18) = v21 & $i(v21) & (( ~ (v25 = % 69.70/9.80 v23) & index(pendack, v21) = v23 & host(v17) = v25 & $i(v25) & % 69.70/9.80 $i(v23)) | ( ~ (v24 = elec_2) & index(status, v21) = v24 & % 69.70/9.80 $i(v24)) | (index(pendack, v21) = v23 & $i(v23) & ~ leq(nbr_proc, % 69.70/9.80 v23)) | (queue(v21) = v22 & $i(v22) & ~ elem(v19, v22)))))) & % 69.70/9.80 ! [v16: $i] : ! [v17: $i] : ! [v18: $i] : ! [v19: $i] : ! [v20: $i] : ( % 69.70/9.80 ~ (m_Ack(v18, v16) = v19) | ~ (host(v17) = v20) | ~ $i(v18) | ~ $i(v17) % 69.70/9.80 | ~ $i(v16) | ~ setIn(v18, alive) | ~ setIn(v17, alive) | ? [v21: $i] % 69.70/9.80 : ? [v22: $i] : ? [v23: $i] : ? [v24: $i] : (( ~ (v23 = v20) & % 69.70/9.80 host(v16) = v23 & $i(v23)) | (index(down, v20) = v24 & host(v18) = v21 % 69.70/9.80 & $i(v24) & $i(v21) & ~ setIn(v21, v24)) | (host(v18) = v21 & % 69.70/9.80 queue(v21) = v22 & $i(v22) & $i(v21) & ~ elem(v19, v22)))) & ! [v16: % 69.70/9.80 $i] : ! [v17: $i] : ! [v18: $i] : ! [v19: $i] : ! [v20: $i] : ( ~ % 69.70/9.80 (m_Ack(v18, v16) = v19) | ~ (host(v17) = v20) | ~ $i(v18) | ~ $i(v17) | % 69.70/9.80 ~ $i(v16) | ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ((host(v18) = % 69.70/9.80 v23 & host(v16) = v22 & $i(v23) & $i(v22) & ~ leq(v22, v23)) | % 69.70/9.80 (queue(v20) = v21 & $i(v21) & ~ elem(v19, v21)))) & ! [v16: $i] : ! % 69.70/9.80 [v17: $i] : ! [v18: $i] : ! [v19: $i] : ( ~ (m_Ldr(v17) = v18) | ~ % 69.70/9.80 (host(v16) = v19) | ~ $i(v17) | ~ $i(v16) | ? [v20: $i] : ? [v21: $i] % 69.70/9.80 : ((host(v17) = v21 & $i(v21) & ~ leq(v19, v21)) | (queue(v19) = v20 & % 69.70/9.80 $i(v20) & ~ elem(v18, v20)))) & ! [v16: $i] : ! [v17: $i] : ! % 69.70/9.80 [v18: $i] : ! [v19: $i] : ( ~ (m_Down(v17) = v18) | ~ (host(v16) = v19) | % 69.70/9.80 ~ $i(v17) | ~ $i(v16) | ~ setIn(v17, alive) | ? [v20: $i] : (queue(v19) % 69.70/9.80 = v20 & $i(v20) & ~ elem(v18, v20))) & ! [v16: $i] : ! [v17: $i] : ! % 69.70/9.80 [v18: $i] : ! [v19: $i] : ( ~ (host(v17) = v19) | ~ (host(v16) = v18) | ~ % 69.70/9.80 $i(v17) | ~ $i(v16) | ~ setIn(v17, alive) | ~ setIn(v16, alive) | % 69.70/9.80 leq(v18, v19) | ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] % 69.70/9.80 : (( ~ (v21 = elec_2) & index(status, v19) = v21 & $i(v21)) | ( ~ (v20 = % 69.70/9.80 elec_2) & index(status, v18) = v20 & $i(v20)) | (index(pendack, v19) % 69.70/9.80 = v23 & index(pendack, v18) = v22 & $i(v23) & $i(v22) & ~ leq(v22, % 69.70/9.80 v23)))) & ! [v16: $i] : ! [v17: $i] : ! [v18: $i] : (v17 = v16 | % 69.70/9.80 ~ (host(v17) = v18) | ~ (host(v16) = v18) | ~ $i(v17) | ~ $i(v16) | ~ % 69.70/9.80 setIn(v17, alive) | ~ setIn(v16, alive)) & ! [v16: $i] : ! [v17: $i] : % 69.70/9.80 ! [v18: $i] : ( ~ (m_Ack(v17, v16) = v18) | ~ $i(v17) | ~ $i(v16) | ~ % 69.70/9.80 setIn(v17, alive) | ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: % 69.70/9.80 $i] : (host(v17) = v19 & $i(v19) & ((index(pendack, v19) = v22 & % 69.70/9.80 host(v16) = v21 & $i(v22) & $i(v21) & leq(v21, v22)) | (queue(v19) = % 69.70/9.80 v20 & $i(v20) & ~ elem(v18, v20))))) & ! [v16: $i] : ! [v17: $i] % 69.70/9.80 : ! [v18: $i] : ( ~ (m_Ack(v17, v16) = v18) | ~ $i(v17) | ~ $i(v16) | ~ % 69.70/9.80 setIn(v17, alive) | ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : % 69.70/9.80 (host(v17) = v19 & $i(v19) & (( ~ (v20 = elec_1) & index(status, v19) = % 69.70/9.80 v20 & $i(v20)) | (queue(v19) = v21 & $i(v21) & ~ elem(v18, v21))))) % 69.70/9.80 & ! [v16: $i] : ! [v17: $i] : ! [v18: $i] : ( ~ (m_Ack(v17, v16) = v18) | % 69.70/9.80 ~ $i(v17) | ~ $i(v16) | setIn(v17, pids) | ? [v19: $i] : ? [v20: $i] : % 69.70/9.80 (host(v17) = v19 & queue(v19) = v20 & $i(v20) & $i(v19) & ~ elem(v18, % 69.70/9.80 v20))) & ! [v16: $i] : ! [v17: $i] : ! [v18: $i] : ( ~ (m_Ack(v16, % 69.70/9.80 v17) = v18) | ~ $i(v17) | ~ $i(v16) | ~ setIn(v17, alive) | ? % 69.70/9.80 [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : (( ~ (v20 = % 69.70/9.80 elec_1) & index(status, v19) = v20 & host(v17) = v19 & $i(v20) & % 69.70/9.80 $i(v19)) | (host(v16) = v21 & queue(v21) = v22 & $i(v22) & $i(v21) & % 69.70/9.80 ~ elem(v18, v22)))) & ! [v16: $i] : ! [v17: $i] : ! [v18: $i] : ( ~ % 69.70/9.80 (host(v17) = v18) | ~ (host(v16) = v18) | ~ $i(v17) | ~ $i(v16) | ~ % 69.70/9.80 leq(v17, v16) | ~ setIn(v17, alive) | setIn(v16, alive)) & ! [v16: $i] : % 69.70/9.80 ! [v17: $i] : ( ~ (host(v16) = v17) | ~ $i(v16) | ~ setIn(v16, alive) | % 69.70/9.80 ? [v18: $i] : ? [v19: $i] : ((v19 = v16 & index(elid, v17) = v16) | ( ~ % 69.70/9.80 (v18 = elec_1) & ~ (v18 = elec_2) & index(status, v17) = v18 & % 69.70/9.80 $i(v18))))) % 69.70/9.80 % 69.70/9.80 (function-axioms) % 69.70/9.80 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 69.70/9.80 (index(v3, v2) = v1) | ~ (index(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] % 69.70/9.80 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (snoc(v3, v2) = v1) | ~ (snoc(v3, % 69.70/9.80 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 % 69.70/9.80 = v0 | ~ (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0)) & ! [v0: $i] : ! % 69.70/9.80 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (m_Ack(v3, v2) = v1) | ~ % 69.70/9.80 (m_Ack(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | % 69.70/9.80 ~ (pidMsg(v2) = v1) | ~ (pidMsg(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : % 69.70/9.80 ! [v2: $i] : (v1 = v0 | ~ (init(v2) = v1) | ~ (init(v2) = v0)) & ! [v0: $i] % 69.70/9.80 : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (last(v2) = v1) | ~ (last(v2) = % 69.70/9.80 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (tail(v2) = % 69.70/9.80 v1) | ~ (tail(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 % 69.70/9.80 = v0 | ~ (head(v2) = v1) | ~ (head(v2) = v0)) & ! [v0: $i] : ! [v1: $i] % 69.70/9.80 : ! [v2: $i] : (v1 = v0 | ~ (m_NormQ(v2) = v1) | ~ (m_NormQ(v2) = v0)) & ! % 69.70/9.80 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (m_Ldr(v2) = v1) | ~ % 69.70/9.80 (m_Ldr(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 69.70/9.80 (m_NotNorm(v2) = v1) | ~ (m_NotNorm(v2) = v0)) & ! [v0: $i] : ! [v1: $i] % 69.70/9.80 : ! [v2: $i] : (v1 = v0 | ~ (m_Down(v2) = v1) | ~ (m_Down(v2) = v0)) & ! % 69.70/9.80 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (m_Halt(v2) = v1) | ~ % 69.70/9.80 (m_Halt(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 69.70/9.80 (s(v2) = v1) | ~ (s(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 69.70/9.80 (v1 = v0 | ~ (host(v2) = v1) | ~ (host(v2) = v0)) & ! [v0: $i] : ! [v1: % 69.70/9.80 $i] : ! [v2: $i] : (v1 = v0 | ~ (queue(v2) = v1) | ~ (queue(v2) = v0)) % 69.70/9.80 % 69.70/9.80 Further assumptions not needed in the proof: % 69.70/9.80 -------------------------------------------- % 69.70/9.80 axiom, axiom_01, axiom_02, axiom_03, axiom_05, axiom_06, axiom_07, axiom_08, % 69.70/9.80 axiom_09, axiom_10, axiom_11, axiom_12, axiom_13, axiom_14, axiom_15, axiom_16, % 69.70/9.80 axiom_17, axiom_18, axiom_19, axiom_20, axiom_21, axiom_22, axiom_23, axiom_24, % 69.70/9.80 axiom_25, axiom_26, axiom_27, axiom_28, axiom_29, axiom_30, axiom_33, axiom_34, % 69.70/9.80 axiom_35, axiom_36, axiom_37, axiom_38, axiom_39, axiom_40, axiom_41, axiom_42, % 69.70/9.80 axiom_43, axiom_44, axiom_45, axiom_48, axiom_49, axiom_50, axiom_51, axiom_52, % 69.70/9.80 axiom_53, axiom_54, axiom_55, axiom_56, axiom_57, axiom_58, axiom_59, axiom_60, % 69.70/9.80 axiom_63, axiom_64, axiom_65 % 69.70/9.80 % 69.70/9.80 Those formulas are unsatisfiable: % 69.70/9.80 --------------------------------- % 69.70/9.80 % 69.70/9.80 Begin of proof % 69.70/9.81 | % 69.70/9.81 | ALPHA: (axiom_04) implies: % 69.70/9.81 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ (host(v0) = v1) | ~ $i(v0) | leq(v1, % 69.70/9.81 | nbr_proc)) % 69.70/9.81 | % 69.70/9.81 | ALPHA: (axiom_46) implies: % 69.70/9.81 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (cons(v0, v1) = v2) | ~ % 69.70/9.81 | $i(v1) | ~ $i(v0) | elem(v0, v2)) % 69.70/9.81 | % 69.70/9.81 | ALPHA: (axiom_47) implies: % 69.70/9.81 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 69.70/9.81 | (snoc(v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ elem(v0, % 69.70/9.81 | v3) | elem(v0, v2)) % 69.70/9.81 | % 69.70/9.81 | ALPHA: (axiom_61) implies: % 69.70/9.81 | (4) ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ $i(v1) | ~ $i(v0) | ~ % 69.70/9.81 | leq(v1, v0) | ~ leq(v0, v1)) % 69.70/9.81 | % 69.70/9.81 | ALPHA: (conj) implies: % 69.70/9.81 | (5) $i(nbr_proc) % 69.70/9.83 | (6) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 69.70/9.83 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? % 69.70/9.83 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : % 69.70/9.83 | ? [v15: $i] : ( ~ (v9 = v3) & ~ (v6 = v3) & index(ldr, v9) = v9 & % 69.70/9.83 | index(status, v9) = norm & index(status, v6) = elec_2 & % 69.70/9.83 | index(pendack, v6) = v12 & snoc(v14, v7) = v15 & cons(v5, v0) = v4 & % 69.70/9.83 | m_Halt(v2) = v5 & m_Ack(v11, v10) = v13 & m_Ack(v2, v1) = v7 & % 69.70/9.83 | host(v11) = v6 & host(v10) = v12 & host(v8) = v9 & host(v2) = v6 & % 69.70/9.83 | host(v1) = v3 & queue(v6) = v14 & queue(v3) = v4 & $i(v15) & $i(v14) % 69.70/9.83 | & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & % 69.70/9.83 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & % 69.70/9.83 | leq(nbr_proc, v12) & setIn(v11, alive) & setIn(v8, alive) & setIn(v1, % 69.70/9.83 | alive) & elem(v13, v15) & ! [v16: $i] : ! [v17: $i] : ! [v18: % 69.70/9.83 | $i] : ! [v19: $i] : ! [v20: $i] : ! [v21: $i] : ( ~ (m_Halt(v18) % 69.70/9.83 | = v20) | ~ (host(v17) = v21) | ~ (host(v16) = v19) | ~ $i(v18) % 69.70/9.83 | | ~ $i(v17) | ~ $i(v16) | ~ setIn(v18, alive) | ~ setIn(v16, % 69.70/9.83 | alive) | ? [v22: $i] : ? [v23: $i] : ? [v24: $i] : ? [v25: % 69.70/9.83 | $i] : ? [v26: $i] : ? [v27: $i] : (( ~ (v27 = norm) & % 69.70/9.83 | index(status, v19) = v27 & $i(v27)) | ( ~ (v26 = v19) & % 69.70/9.83 | index(ldr, v19) = v26 & $i(v26)) | ( ~ (v25 = elec_2) & % 69.70/9.83 | index(status, v22) = v25 & host(v18) = v22 & $i(v25) & $i(v22)) % 69.70/9.83 | | (index(pendack, v22) = v23 & host(v18) = v22 & $i(v23) & % 69.70/9.83 | $i(v22) & leq(v23, v19)) | (queue(v21) = v24 & $i(v24) & ~ % 69.70/9.83 | elem(v20, v24)))) & ! [v16: $i] : ! [v17: $i] : ! [v18: $i] % 69.70/9.83 | : ! [v19: $i] : ! [v20: $i] : ( ~ (m_Down(v16) = v19) | ~ % 69.70/9.83 | (m_Ack(v18, v17) = v20) | ~ $i(v18) | ~ $i(v17) | ~ $i(v16) | ~ % 69.70/9.83 | setIn(v18, alive) | ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ? % 69.70/9.83 | [v24: $i] : ? [v25: $i] : (( ~ (v25 = v23) & host(v18) = v23 & % 69.70/9.83 | host(v16) = v25 & $i(v25) & $i(v23)) | (host(v18) = v23 & % 69.70/9.83 | queue(v23) = v24 & $i(v24) & $i(v23) & ~ elem(v20, v24)) | % 69.70/9.83 | (host(v17) = v21 & queue(v21) = v22 & $i(v22) & $i(v21) & ~ % 69.70/9.83 | elem(v19, v22)))) & ! [v16: $i] : ! [v17: $i] : ! [v18: $i] % 69.70/9.83 | : ! [v19: $i] : ! [v20: $i] : ( ~ (m_Ack(v18, v17) = v19) | ~ % 69.70/9.83 | (host(v16) = v20) | ~ $i(v18) | ~ $i(v17) | ~ $i(v16) | ~ % 69.70/9.83 | setIn(v18, alive) | ~ setIn(v16, alive) | ? [v21: $i] : ? [v22: % 69.70/9.83 | $i] : ? [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : % 69.70/9.83 | ? [v27: $i] : (( ~ (v27 = norm) & index(status, v20) = v27 & % 69.70/9.83 | $i(v27)) | ( ~ (v26 = v20) & index(ldr, v20) = v26 & $i(v26)) | % 69.70/9.83 | (host(v18) = v21 & $i(v21) & (( ~ (v25 = v23) & index(pendack, % 69.70/9.83 | v21) = v23 & host(v17) = v25 & $i(v25) & $i(v23)) | ( ~ % 69.70/9.83 | (v24 = elec_2) & index(status, v21) = v24 & $i(v24)) | % 69.70/9.83 | (index(pendack, v21) = v23 & $i(v23) & ~ leq(nbr_proc, v23)) % 69.70/9.83 | | (queue(v21) = v22 & $i(v22) & ~ elem(v19, v22)))))) & ! % 69.70/9.83 | [v16: $i] : ! [v17: $i] : ! [v18: $i] : ! [v19: $i] : ! [v20: $i] % 69.70/9.83 | : ( ~ (m_Ack(v18, v16) = v19) | ~ (host(v17) = v20) | ~ $i(v18) | % 69.70/9.83 | ~ $i(v17) | ~ $i(v16) | ~ setIn(v18, alive) | ~ setIn(v17, % 69.70/9.83 | alive) | ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ? [v24: % 69.70/9.83 | $i] : (( ~ (v23 = v20) & host(v16) = v23 & $i(v23)) | % 69.70/9.83 | (index(down, v20) = v24 & host(v18) = v21 & $i(v24) & $i(v21) & % 69.70/9.83 | ~ setIn(v21, v24)) | (host(v18) = v21 & queue(v21) = v22 & % 69.70/9.83 | $i(v22) & $i(v21) & ~ elem(v19, v22)))) & ! [v16: $i] : ! % 69.70/9.83 | [v17: $i] : ! [v18: $i] : ! [v19: $i] : ! [v20: $i] : ( ~ % 69.70/9.83 | (m_Ack(v18, v16) = v19) | ~ (host(v17) = v20) | ~ $i(v18) | ~ % 69.70/9.83 | $i(v17) | ~ $i(v16) | ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : % 69.70/9.83 | ((host(v18) = v23 & host(v16) = v22 & $i(v23) & $i(v22) & ~ % 69.70/9.83 | leq(v22, v23)) | (queue(v20) = v21 & $i(v21) & ~ elem(v19, % 69.70/9.83 | v21)))) & ! [v16: $i] : ! [v17: $i] : ! [v18: $i] : ! % 69.70/9.83 | [v19: $i] : ( ~ (m_Ldr(v17) = v18) | ~ (host(v16) = v19) | ~ % 69.70/9.83 | $i(v17) | ~ $i(v16) | ? [v20: $i] : ? [v21: $i] : ((host(v17) = % 69.70/9.83 | v21 & $i(v21) & ~ leq(v19, v21)) | (queue(v19) = v20 & $i(v20) % 69.70/9.83 | & ~ elem(v18, v20)))) & ! [v16: $i] : ! [v17: $i] : ! [v18: % 69.70/9.83 | $i] : ! [v19: $i] : ( ~ (m_Down(v17) = v18) | ~ (host(v16) = v19) % 69.70/9.83 | | ~ $i(v17) | ~ $i(v16) | ~ setIn(v17, alive) | ? [v20: $i] : % 69.70/9.83 | (queue(v19) = v20 & $i(v20) & ~ elem(v18, v20))) & ! [v16: $i] : % 69.70/9.83 | ! [v17: $i] : ! [v18: $i] : ! [v19: $i] : ( ~ (host(v17) = v19) | % 69.70/9.83 | ~ (host(v16) = v18) | ~ $i(v17) | ~ $i(v16) | ~ setIn(v17, % 69.70/9.83 | alive) | ~ setIn(v16, alive) | leq(v18, v19) | ? [v20: $i] : ? % 69.70/9.83 | [v21: $i] : ? [v22: $i] : ? [v23: $i] : (( ~ (v21 = elec_2) & % 69.70/9.83 | index(status, v19) = v21 & $i(v21)) | ( ~ (v20 = elec_2) & % 69.70/9.83 | index(status, v18) = v20 & $i(v20)) | (index(pendack, v19) = % 69.70/9.83 | v23 & index(pendack, v18) = v22 & $i(v23) & $i(v22) & ~ % 69.70/9.83 | leq(v22, v23)))) & ! [v16: $i] : ! [v17: $i] : ! [v18: $i] : % 69.70/9.83 | (v17 = v16 | ~ (host(v17) = v18) | ~ (host(v16) = v18) | ~ $i(v17) % 69.70/9.83 | | ~ $i(v16) | ~ setIn(v17, alive) | ~ setIn(v16, alive)) & ! % 69.70/9.83 | [v16: $i] : ! [v17: $i] : ! [v18: $i] : ( ~ (m_Ack(v17, v16) = v18) % 69.70/9.83 | | ~ $i(v17) | ~ $i(v16) | ~ setIn(v17, alive) | ? [v19: $i] : % 69.70/9.83 | ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : (host(v17) = v19 & % 69.70/9.83 | $i(v19) & ((index(pendack, v19) = v22 & host(v16) = v21 & $i(v22) % 69.70/9.83 | & $i(v21) & leq(v21, v22)) | (queue(v19) = v20 & $i(v20) & ~ % 69.70/9.83 | elem(v18, v20))))) & ! [v16: $i] : ! [v17: $i] : ! [v18: % 69.70/9.83 | $i] : ( ~ (m_Ack(v17, v16) = v18) | ~ $i(v17) | ~ $i(v16) | ~ % 69.70/9.83 | setIn(v17, alive) | ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : % 69.70/9.83 | (host(v17) = v19 & $i(v19) & (( ~ (v20 = elec_1) & index(status, % 69.70/9.83 | v19) = v20 & $i(v20)) | (queue(v19) = v21 & $i(v21) & ~ % 69.70/9.83 | elem(v18, v21))))) & ! [v16: $i] : ! [v17: $i] : ! [v18: % 69.70/9.83 | $i] : ( ~ (m_Ack(v17, v16) = v18) | ~ $i(v17) | ~ $i(v16) | % 69.70/9.83 | setIn(v17, pids) | ? [v19: $i] : ? [v20: $i] : (host(v17) = v19 & % 69.70/9.83 | queue(v19) = v20 & $i(v20) & $i(v19) & ~ elem(v18, v20))) & ! % 69.70/9.83 | [v16: $i] : ! [v17: $i] : ! [v18: $i] : ( ~ (m_Ack(v16, v17) = v18) % 69.70/9.83 | | ~ $i(v17) | ~ $i(v16) | ~ setIn(v17, alive) | ? [v19: $i] : % 69.70/9.83 | ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : (( ~ (v20 = elec_1) & % 69.70/9.83 | index(status, v19) = v20 & host(v17) = v19 & $i(v20) & $i(v19)) % 69.70/9.83 | | (host(v16) = v21 & queue(v21) = v22 & $i(v22) & $i(v21) & ~ % 69.70/9.83 | elem(v18, v22)))) & ! [v16: $i] : ! [v17: $i] : ! [v18: $i] % 69.70/9.83 | : ( ~ (host(v17) = v18) | ~ (host(v16) = v18) | ~ $i(v17) | ~ % 69.70/9.83 | $i(v16) | ~ leq(v17, v16) | ~ setIn(v17, alive) | setIn(v16, % 69.70/9.83 | alive)) & ! [v16: $i] : ! [v17: $i] : ( ~ (host(v16) = v17) | % 69.70/9.83 | ~ $i(v16) | ~ setIn(v16, alive) | ? [v18: $i] : ? [v19: $i] : % 69.70/9.83 | ((v19 = v16 & index(elid, v17) = v16) | ( ~ (v18 = elec_1) & ~ % 69.70/9.83 | (v18 = elec_2) & index(status, v17) = v18 & $i(v18))))) % 69.70/9.83 | % 69.70/9.83 | ALPHA: (function-axioms) implies: % 69.70/9.83 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (queue(v2) = % 69.70/9.83 | v1) | ~ (queue(v2) = v0)) % 69.70/9.83 | (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (host(v2) = v1) % 69.70/9.83 | | ~ (host(v2) = v0)) % 69.70/9.83 | (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 69.70/9.83 | (index(v3, v2) = v1) | ~ (index(v3, v2) = v0)) % 69.70/9.83 | % 69.70/9.83 | DELTA: instantiating (6) with fresh symbols all_65_0, all_65_1, all_65_2, % 69.70/9.83 | all_65_3, all_65_4, all_65_5, all_65_6, all_65_7, all_65_8, all_65_9, % 69.70/9.83 | all_65_10, all_65_11, all_65_12, all_65_13, all_65_14, all_65_15 gives: % 69.70/9.85 | (10) ~ (all_65_6 = all_65_12) & ~ (all_65_9 = all_65_12) & index(ldr, % 69.70/9.85 | all_65_6) = all_65_6 & index(status, all_65_6) = norm & % 69.70/9.85 | index(status, all_65_9) = elec_2 & index(pendack, all_65_9) = all_65_3 % 69.70/9.85 | & snoc(all_65_1, all_65_8) = all_65_0 & cons(all_65_10, all_65_15) = % 69.70/9.85 | all_65_11 & m_Halt(all_65_13) = all_65_10 & m_Ack(all_65_4, all_65_5) % 69.70/9.85 | = all_65_2 & m_Ack(all_65_13, all_65_14) = all_65_8 & host(all_65_4) = % 69.70/9.85 | all_65_9 & host(all_65_5) = all_65_3 & host(all_65_7) = all_65_6 & % 69.70/9.85 | host(all_65_13) = all_65_9 & host(all_65_14) = all_65_12 & % 69.70/9.85 | queue(all_65_9) = all_65_1 & queue(all_65_12) = all_65_11 & % 69.70/9.85 | $i(all_65_0) & $i(all_65_1) & $i(all_65_2) & $i(all_65_3) & % 69.70/9.85 | $i(all_65_4) & $i(all_65_5) & $i(all_65_6) & $i(all_65_7) & % 69.70/9.85 | $i(all_65_8) & $i(all_65_9) & $i(all_65_10) & $i(all_65_11) & % 69.70/9.85 | $i(all_65_12) & $i(all_65_13) & $i(all_65_14) & $i(all_65_15) & % 69.70/9.85 | leq(nbr_proc, all_65_3) & setIn(all_65_4, alive) & setIn(all_65_7, % 69.70/9.85 | alive) & setIn(all_65_14, alive) & elem(all_65_2, all_65_0) & ! % 69.70/9.85 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! % 69.70/9.85 | [v5: $i] : ( ~ (m_Halt(v2) = v4) | ~ (host(v1) = v5) | ~ (host(v0) = % 69.70/9.85 | v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v2, alive) | ~ % 69.70/9.85 | setIn(v0, alive) | ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: % 69.70/9.85 | $i] : ? [v10: $i] : ? [v11: $i] : (( ~ (v11 = norm) & % 69.70/9.85 | index(status, v3) = v11 & $i(v11)) | ( ~ (v10 = v3) & index(ldr, % 69.70/9.85 | v3) = v10 & $i(v10)) | ( ~ (v9 = elec_2) & index(status, v6) = % 69.70/9.85 | v9 & host(v2) = v6 & $i(v9) & $i(v6)) | (index(pendack, v6) = v7 % 69.70/9.85 | & host(v2) = v6 & $i(v7) & $i(v6) & leq(v7, v3)) | (queue(v5) = % 69.70/9.85 | v8 & $i(v8) & ~ elem(v4, v8)))) & ! [v0: $i] : ! [v1: $i] : % 69.70/9.85 | ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (m_Down(v0) = v3) | ~ % 69.70/9.85 | (m_Ack(v2, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 69.70/9.85 | setIn(v2, alive) | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: % 69.70/9.85 | $i] : ? [v9: $i] : (( ~ (v9 = v7) & host(v2) = v7 & host(v0) = v9 % 69.70/9.85 | & $i(v9) & $i(v7)) | (host(v2) = v7 & queue(v7) = v8 & $i(v8) & % 69.70/9.85 | $i(v7) & ~ elem(v4, v8)) | (host(v1) = v5 & queue(v5) = v6 & % 69.70/9.85 | $i(v6) & $i(v5) & ~ elem(v3, v6)))) & ! [v0: $i] : ! [v1: $i] % 69.70/9.85 | : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (m_Ack(v2, v1) = v3) | % 69.70/9.85 | ~ (host(v0) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 69.70/9.85 | setIn(v2, alive) | ~ setIn(v0, alive) | ? [v5: $i] : ? [v6: $i] : % 69.70/9.85 | ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: % 69.70/9.85 | $i] : (( ~ (v11 = norm) & index(status, v4) = v11 & $i(v11)) | ( ~ % 69.70/9.85 | (v10 = v4) & index(ldr, v4) = v10 & $i(v10)) | (host(v2) = v5 & % 69.70/9.85 | $i(v5) & (( ~ (v9 = v7) & index(pendack, v5) = v7 & host(v1) = % 69.70/9.85 | v9 & $i(v9) & $i(v7)) | ( ~ (v8 = elec_2) & index(status, % 69.70/9.85 | v5) = v8 & $i(v8)) | (index(pendack, v5) = v7 & $i(v7) & % 69.70/9.85 | ~ leq(nbr_proc, v7)) | (queue(v5) = v6 & $i(v6) & ~ % 69.70/9.85 | elem(v3, v6)))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] % 69.70/9.85 | : ! [v3: $i] : ! [v4: $i] : ( ~ (m_Ack(v2, v0) = v3) | ~ (host(v1) % 69.70/9.85 | = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v2, alive) | % 69.70/9.85 | ~ setIn(v1, alive) | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? % 69.70/9.85 | [v8: $i] : (( ~ (v7 = v4) & host(v0) = v7 & $i(v7)) | (index(down, % 69.70/9.85 | v4) = v8 & host(v2) = v5 & $i(v8) & $i(v5) & ~ setIn(v5, v8)) % 69.70/9.85 | | (host(v2) = v5 & queue(v5) = v6 & $i(v6) & $i(v5) & ~ elem(v3, % 69.70/9.85 | v6)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] % 69.70/9.85 | : ! [v4: $i] : ( ~ (m_Ack(v2, v0) = v3) | ~ (host(v1) = v4) | ~ % 69.70/9.85 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : ? [v6: $i] : ? [v7: % 69.70/9.85 | $i] : ((host(v2) = v7 & host(v0) = v6 & $i(v7) & $i(v6) & ~ % 69.70/9.85 | leq(v6, v7)) | (queue(v4) = v5 & $i(v5) & ~ elem(v3, v5)))) & % 69.70/9.85 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (m_Ldr(v1) % 69.70/9.85 | = v2) | ~ (host(v0) = v3) | ~ $i(v1) | ~ $i(v0) | ? [v4: $i] : % 69.70/9.85 | ? [v5: $i] : ((host(v1) = v5 & $i(v5) & ~ leq(v3, v5)) | % 69.70/9.85 | (queue(v3) = v4 & $i(v4) & ~ elem(v2, v4)))) & ! [v0: $i] : ! % 69.70/9.85 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (m_Down(v1) = v2) | ~ % 69.70/9.85 | (host(v0) = v3) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v1, alive) | ? % 69.70/9.85 | [v4: $i] : (queue(v3) = v4 & $i(v4) & ~ elem(v2, v4))) & ! [v0: % 69.70/9.85 | $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (host(v1) = v3) % 69.70/9.85 | | ~ (host(v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v1, alive) | % 69.70/9.85 | ~ setIn(v0, alive) | leq(v2, v3) | ? [v4: $i] : ? [v5: $i] : ? % 69.70/9.85 | [v6: $i] : ? [v7: $i] : (( ~ (v5 = elec_2) & index(status, v3) = v5 % 69.70/9.85 | & $i(v5)) | ( ~ (v4 = elec_2) & index(status, v2) = v4 & $i(v4)) % 69.70/9.85 | | (index(pendack, v3) = v7 & index(pendack, v2) = v6 & $i(v7) & % 69.70/9.85 | $i(v6) & ~ leq(v6, v7)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 69.70/9.85 | $i] : (v1 = v0 | ~ (host(v1) = v2) | ~ (host(v0) = v2) | ~ $i(v1) % 69.70/9.85 | | ~ $i(v0) | ~ setIn(v1, alive) | ~ setIn(v0, alive)) & ! [v0: % 69.70/9.85 | $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (m_Ack(v1, v0) = v2) | ~ % 69.70/9.85 | $i(v1) | ~ $i(v0) | ~ setIn(v1, alive) | ? [v3: $i] : ? [v4: $i] % 69.70/9.85 | : ? [v5: $i] : ? [v6: $i] : (host(v1) = v3 & $i(v3) & % 69.70/9.85 | ((index(pendack, v3) = v6 & host(v0) = v5 & $i(v6) & $i(v5) & % 69.70/9.85 | leq(v5, v6)) | (queue(v3) = v4 & $i(v4) & ~ elem(v2, v4))))) % 69.70/9.85 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (m_Ack(v1, v0) = v2) | % 69.70/9.85 | ~ $i(v1) | ~ $i(v0) | ~ setIn(v1, alive) | ? [v3: $i] : ? [v4: % 69.70/9.85 | $i] : ? [v5: $i] : (host(v1) = v3 & $i(v3) & (( ~ (v4 = elec_1) & % 69.70/9.85 | index(status, v3) = v4 & $i(v4)) | (queue(v3) = v5 & $i(v5) & % 69.70/9.85 | ~ elem(v2, v5))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 69.70/9.85 | ( ~ (m_Ack(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | setIn(v1, pids) | % 69.70/9.85 | ? [v3: $i] : ? [v4: $i] : (host(v1) = v3 & queue(v3) = v4 & $i(v4) % 69.70/9.85 | & $i(v3) & ~ elem(v2, v4))) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 69.70/9.85 | $i] : ( ~ (m_Ack(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ~ % 69.70/9.85 | setIn(v1, alive) | ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: % 69.70/9.85 | $i] : (( ~ (v4 = elec_1) & index(status, v3) = v4 & host(v1) = v3 % 69.70/9.85 | & $i(v4) & $i(v3)) | (host(v0) = v5 & queue(v5) = v6 & $i(v6) & % 69.70/9.85 | $i(v5) & ~ elem(v2, v6)))) & ! [v0: $i] : ! [v1: $i] : ! % 69.70/9.85 | [v2: $i] : ( ~ (host(v1) = v2) | ~ (host(v0) = v2) | ~ $i(v1) | ~ % 69.70/9.85 | $i(v0) | ~ leq(v1, v0) | ~ setIn(v1, alive) | setIn(v0, alive)) & % 69.70/9.85 | ! [v0: $i] : ! [v1: $i] : ( ~ (host(v0) = v1) | ~ $i(v0) | ~ % 69.70/9.85 | setIn(v0, alive) | ? [v2: $i] : ? [v3: $i] : ((v3 = v0 & % 69.70/9.85 | index(elid, v1) = v0) | ( ~ (v2 = elec_1) & ~ (v2 = elec_2) & % 69.70/9.85 | index(status, v1) = v2 & $i(v2)))) % 69.70/9.85 | % 69.70/9.85 | ALPHA: (10) implies: % 69.70/9.85 | (11) ~ (all_65_6 = all_65_12) % 69.70/9.85 | (12) elem(all_65_2, all_65_0) % 69.70/9.85 | (13) setIn(all_65_7, alive) % 69.70/9.85 | (14) setIn(all_65_4, alive) % 69.70/9.85 | (15) leq(nbr_proc, all_65_3) % 69.70/9.85 | (16) $i(all_65_15) % 69.70/9.85 | (17) $i(all_65_14) % 69.70/9.85 | (18) $i(all_65_13) % 69.70/9.85 | (19) $i(all_65_10) % 69.70/9.85 | (20) $i(all_65_8) % 69.70/9.85 | (21) $i(all_65_7) % 69.70/9.85 | (22) $i(all_65_6) % 69.70/9.85 | (23) $i(all_65_5) % 69.70/9.85 | (24) $i(all_65_4) % 69.70/9.85 | (25) $i(all_65_3) % 69.70/9.85 | (26) $i(all_65_2) % 69.70/9.85 | (27) $i(all_65_1) % 69.70/9.85 | (28) queue(all_65_12) = all_65_11 % 69.70/9.85 | (29) queue(all_65_9) = all_65_1 % 69.70/9.85 | (30) host(all_65_14) = all_65_12 % 69.70/9.85 | (31) host(all_65_7) = all_65_6 % 69.70/9.85 | (32) host(all_65_5) = all_65_3 % 69.70/9.85 | (33) host(all_65_4) = all_65_9 % 69.70/9.85 | (34) m_Ack(all_65_13, all_65_14) = all_65_8 % 69.70/9.85 | (35) m_Ack(all_65_4, all_65_5) = all_65_2 % 69.70/9.85 | (36) m_Halt(all_65_13) = all_65_10 % 69.70/9.85 | (37) cons(all_65_10, all_65_15) = all_65_11 % 69.70/9.85 | (38) snoc(all_65_1, all_65_8) = all_65_0 % 69.70/9.85 | (39) index(pendack, all_65_9) = all_65_3 % 69.70/9.85 | (40) index(status, all_65_9) = elec_2 % 69.70/9.85 | (41) index(status, all_65_6) = norm % 69.70/9.85 | (42) index(ldr, all_65_6) = all_65_6 % 69.70/9.85 | (43) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (m_Ack(v1, v0) = v2) | % 69.70/9.85 | ~ $i(v1) | ~ $i(v0) | ~ setIn(v1, alive) | ? [v3: $i] : ? [v4: % 69.70/9.85 | $i] : ? [v5: $i] : (host(v1) = v3 & $i(v3) & (( ~ (v4 = elec_1) & % 69.70/9.85 | index(status, v3) = v4 & $i(v4)) | (queue(v3) = v5 & $i(v5) & % 69.70/9.85 | ~ elem(v2, v5))))) % 69.70/9.85 | (44) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (m_Ack(v1, v0) = v2) | % 69.70/9.85 | ~ $i(v1) | ~ $i(v0) | ~ setIn(v1, alive) | ? [v3: $i] : ? [v4: % 69.70/9.85 | $i] : ? [v5: $i] : ? [v6: $i] : (host(v1) = v3 & $i(v3) & % 69.70/9.85 | ((index(pendack, v3) = v6 & host(v0) = v5 & $i(v6) & $i(v5) & % 69.70/9.85 | leq(v5, v6)) | (queue(v3) = v4 & $i(v4) & ~ elem(v2, v4))))) % 70.00/9.86 | (45) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 70.00/9.86 | ( ~ (m_Ack(v2, v1) = v3) | ~ (host(v0) = v4) | ~ $i(v2) | ~ $i(v1) % 70.00/9.86 | | ~ $i(v0) | ~ setIn(v2, alive) | ~ setIn(v0, alive) | ? [v5: % 70.00/9.86 | $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? % 70.00/9.86 | [v10: $i] : ? [v11: $i] : (( ~ (v11 = norm) & index(status, v4) = % 70.00/9.86 | v11 & $i(v11)) | ( ~ (v10 = v4) & index(ldr, v4) = v10 & % 70.00/9.86 | $i(v10)) | (host(v2) = v5 & $i(v5) & (( ~ (v9 = v7) & % 70.00/9.86 | index(pendack, v5) = v7 & host(v1) = v9 & $i(v9) & $i(v7)) | % 70.00/9.86 | ( ~ (v8 = elec_2) & index(status, v5) = v8 & $i(v8)) | % 70.00/9.86 | (index(pendack, v5) = v7 & $i(v7) & ~ leq(nbr_proc, v7)) | % 70.00/9.86 | (queue(v5) = v6 & $i(v6) & ~ elem(v3, v6)))))) % 70.00/9.86 | (46) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 70.00/9.86 | ! [v5: $i] : ( ~ (m_Halt(v2) = v4) | ~ (host(v1) = v5) | ~ (host(v0) % 70.00/9.86 | = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v2, alive) | % 70.00/9.86 | ~ setIn(v0, alive) | ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? % 70.00/9.86 | [v9: $i] : ? [v10: $i] : ? [v11: $i] : (( ~ (v11 = norm) & % 70.00/9.86 | index(status, v3) = v11 & $i(v11)) | ( ~ (v10 = v3) & index(ldr, % 70.00/9.86 | v3) = v10 & $i(v10)) | ( ~ (v9 = elec_2) & index(status, v6) = % 70.00/9.86 | v9 & host(v2) = v6 & $i(v9) & $i(v6)) | (index(pendack, v6) = v7 % 70.00/9.86 | & host(v2) = v6 & $i(v7) & $i(v6) & leq(v7, v3)) | (queue(v5) = % 70.00/9.86 | v8 & $i(v8) & ~ elem(v4, v8)))) % 70.00/9.86 | % 70.00/9.86 | GROUND_INST: instantiating (1) with all_65_7, all_65_6, simplifying with (21), % 70.00/9.86 | (31) gives: % 70.00/9.86 | (47) leq(all_65_6, nbr_proc) % 70.00/9.86 | % 70.00/9.86 | GROUND_INST: instantiating (1) with all_65_5, all_65_3, simplifying with (23), % 70.00/9.86 | (32) gives: % 70.00/9.86 | (48) leq(all_65_3, nbr_proc) % 70.00/9.86 | % 70.00/9.86 | GROUND_INST: instantiating (45) with all_65_7, all_65_5, all_65_4, all_65_2, % 70.00/9.86 | all_65_6, simplifying with (13), (14), (21), (23), (24), (31), % 70.00/9.86 | (35) gives: % 70.00/9.86 | (49) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 70.00/9.86 | ? [v5: any] : ? [v6: $i] : (( ~ (v6 = norm) & index(status, all_65_6) % 70.00/9.86 | = v6 & $i(v6)) | ( ~ (v5 = all_65_6) & index(ldr, all_65_6) = v5 & % 70.00/9.86 | $i(v5)) | (host(all_65_4) = v0 & $i(v0) & (( ~ (v4 = v2) & % 70.00/9.86 | index(pendack, v0) = v2 & host(all_65_5) = v4 & $i(v4) & % 70.00/9.86 | $i(v2)) | ( ~ (v3 = elec_2) & index(status, v0) = v3 & $i(v3)) % 70.00/9.86 | | (index(pendack, v0) = v2 & $i(v2) & ~ leq(nbr_proc, v2)) | % 70.00/9.86 | (queue(v0) = v1 & $i(v1) & ~ elem(all_65_2, v1))))) % 70.00/9.86 | % 70.00/9.86 | GROUND_INST: instantiating (44) with all_65_5, all_65_4, all_65_2, simplifying % 70.00/9.86 | with (14), (23), (24), (35) gives: % 70.00/9.86 | (50) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : % 70.00/9.86 | (host(all_65_4) = v0 & $i(v0) & ((index(pendack, v0) = v3 & % 70.00/9.86 | host(all_65_5) = v2 & $i(v3) & $i(v2) & leq(v2, v3)) | % 70.00/9.86 | (queue(v0) = v1 & $i(v1) & ~ elem(all_65_2, v1)))) % 70.00/9.86 | % 70.00/9.86 | GROUND_INST: instantiating (43) with all_65_5, all_65_4, all_65_2, simplifying % 70.00/9.86 | with (14), (23), (24), (35) gives: % 70.00/9.86 | (51) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (host(all_65_4) = v0 & % 70.00/9.86 | $i(v0) & (( ~ (v1 = elec_1) & index(status, v0) = v1 & $i(v1)) | % 70.00/9.86 | (queue(v0) = v2 & $i(v2) & ~ elem(all_65_2, v2)))) % 70.00/9.86 | % 70.00/9.86 | GROUND_INST: instantiating (2) with all_65_10, all_65_15, all_65_11, % 70.00/9.86 | simplifying with (16), (19), (37) gives: % 70.00/9.86 | (52) elem(all_65_10, all_65_11) % 70.00/9.86 | % 70.00/9.86 | GROUND_INST: instantiating (3) with all_65_2, all_65_8, all_65_1, all_65_0, % 70.00/9.86 | simplifying with (12), (20), (26), (27), (38) gives: % 70.00/9.86 | (53) all_65_2 = all_65_8 | elem(all_65_2, all_65_1) % 70.00/9.86 | % 70.00/9.86 | DELTA: instantiating (51) with fresh symbols all_92_0, all_92_1, all_92_2 % 70.00/9.86 | gives: % 70.00/9.86 | (54) host(all_65_4) = all_92_2 & $i(all_92_2) & (( ~ (all_92_1 = elec_1) & % 70.00/9.86 | index(status, all_92_2) = all_92_1 & $i(all_92_1)) | % 70.00/9.86 | (queue(all_92_2) = all_92_0 & $i(all_92_0) & ~ elem(all_65_2, % 70.00/9.86 | all_92_0))) % 70.00/9.86 | % 70.00/9.86 | ALPHA: (54) implies: % 70.00/9.86 | (55) host(all_65_4) = all_92_2 % 70.00/9.86 | % 70.00/9.86 | DELTA: instantiating (50) with fresh symbols all_99_0, all_99_1, all_99_2, % 70.00/9.86 | all_99_3 gives: % 70.00/9.86 | (56) host(all_65_4) = all_99_3 & $i(all_99_3) & ((index(pendack, all_99_3) % 70.00/9.86 | = all_99_0 & host(all_65_5) = all_99_1 & $i(all_99_0) & % 70.00/9.86 | $i(all_99_1) & leq(all_99_1, all_99_0)) | (queue(all_99_3) = % 70.00/9.86 | all_99_2 & $i(all_99_2) & ~ elem(all_65_2, all_99_2))) % 70.00/9.86 | % 70.00/9.86 | ALPHA: (56) implies: % 70.00/9.86 | (57) host(all_65_4) = all_99_3 % 70.00/9.86 | % 70.00/9.86 | DELTA: instantiating (49) with fresh symbols all_107_0, all_107_1, all_107_2, % 70.00/9.86 | all_107_3, all_107_4, all_107_5, all_107_6 gives: % 70.00/9.87 | (58) ( ~ (all_107_0 = norm) & index(status, all_65_6) = all_107_0 & % 70.00/9.87 | $i(all_107_0)) | ( ~ (all_107_1 = all_65_6) & index(ldr, all_65_6) = % 70.00/9.87 | all_107_1 & $i(all_107_1)) | (host(all_65_4) = all_107_6 & % 70.00/9.87 | $i(all_107_6) & (( ~ (all_107_2 = all_107_4) & index(pendack, % 70.00/9.87 | all_107_6) = all_107_4 & host(all_65_5) = all_107_2 & % 70.00/9.87 | $i(all_107_2) & $i(all_107_4)) | ( ~ (all_107_3 = elec_2) & % 70.00/9.87 | index(status, all_107_6) = all_107_3 & $i(all_107_3)) | % 70.00/9.87 | (index(pendack, all_107_6) = all_107_4 & $i(all_107_4) & ~ % 70.00/9.87 | leq(nbr_proc, all_107_4)) | (queue(all_107_6) = all_107_5 & % 70.00/9.87 | $i(all_107_5) & ~ elem(all_65_2, all_107_5)))) % 70.00/9.87 | % 70.00/9.87 | BETA: splitting (58) gives: % 70.00/9.87 | % 70.00/9.87 | Case 1: % 70.00/9.87 | | % 70.00/9.87 | | (59) ~ (all_107_0 = norm) & index(status, all_65_6) = all_107_0 & % 70.00/9.87 | | $i(all_107_0) % 70.00/9.87 | | % 70.00/9.87 | | ALPHA: (59) implies: % 70.00/9.87 | | (60) ~ (all_107_0 = norm) % 70.00/9.87 | | (61) index(status, all_65_6) = all_107_0 % 70.00/9.87 | | % 70.00/9.87 | | GROUND_INST: instantiating (9) with norm, all_107_0, all_65_6, status, % 70.00/9.87 | | simplifying with (41), (61) gives: % 70.00/9.87 | | (62) all_107_0 = norm % 70.00/9.87 | | % 70.00/9.87 | | REDUCE: (60), (62) imply: % 70.00/9.87 | | (63) $false % 70.00/9.87 | | % 70.00/9.87 | | CLOSE: (63) is inconsistent. % 70.00/9.87 | | % 70.00/9.87 | Case 2: % 70.00/9.87 | | % 70.05/9.87 | | (64) ( ~ (all_107_1 = all_65_6) & index(ldr, all_65_6) = all_107_1 & % 70.05/9.87 | | $i(all_107_1)) | (host(all_65_4) = all_107_6 & $i(all_107_6) & (( % 70.05/9.87 | | ~ (all_107_2 = all_107_4) & index(pendack, all_107_6) = % 70.05/9.87 | | all_107_4 & host(all_65_5) = all_107_2 & $i(all_107_2) & % 70.05/9.87 | | $i(all_107_4)) | ( ~ (all_107_3 = elec_2) & index(status, % 70.05/9.87 | | all_107_6) = all_107_3 & $i(all_107_3)) | (index(pendack, % 70.05/9.87 | | all_107_6) = all_107_4 & $i(all_107_4) & ~ leq(nbr_proc, % 70.05/9.87 | | all_107_4)) | (queue(all_107_6) = all_107_5 & $i(all_107_5) % 70.05/9.87 | | & ~ elem(all_65_2, all_107_5)))) % 70.05/9.87 | | % 70.05/9.87 | | BETA: splitting (64) gives: % 70.05/9.87 | | % 70.05/9.87 | | Case 1: % 70.05/9.87 | | | % 70.05/9.87 | | | (65) ~ (all_107_1 = all_65_6) & index(ldr, all_65_6) = all_107_1 & % 70.05/9.87 | | | $i(all_107_1) % 70.05/9.87 | | | % 70.05/9.87 | | | ALPHA: (65) implies: % 70.05/9.87 | | | (66) ~ (all_107_1 = all_65_6) % 70.05/9.87 | | | (67) index(ldr, all_65_6) = all_107_1 % 70.05/9.87 | | | % 70.05/9.87 | | | GROUND_INST: instantiating (9) with all_65_6, all_107_1, all_65_6, ldr, % 70.05/9.87 | | | simplifying with (42), (67) gives: % 70.05/9.87 | | | (68) all_107_1 = all_65_6 % 70.05/9.87 | | | % 70.05/9.87 | | | REDUCE: (66), (68) imply: % 70.05/9.87 | | | (69) $false % 70.05/9.87 | | | % 70.05/9.87 | | | CLOSE: (69) is inconsistent. % 70.05/9.87 | | | % 70.05/9.87 | | Case 2: % 70.05/9.87 | | | % 70.05/9.87 | | | (70) host(all_65_4) = all_107_6 & $i(all_107_6) & (( ~ (all_107_2 = % 70.05/9.87 | | | all_107_4) & index(pendack, all_107_6) = all_107_4 & % 70.05/9.87 | | | host(all_65_5) = all_107_2 & $i(all_107_2) & $i(all_107_4)) | % 70.05/9.87 | | | ( ~ (all_107_3 = elec_2) & index(status, all_107_6) = all_107_3 % 70.05/9.87 | | | & $i(all_107_3)) | (index(pendack, all_107_6) = all_107_4 & % 70.05/9.87 | | | $i(all_107_4) & ~ leq(nbr_proc, all_107_4)) | % 70.05/9.87 | | | (queue(all_107_6) = all_107_5 & $i(all_107_5) & ~ % 70.05/9.87 | | | elem(all_65_2, all_107_5))) % 70.05/9.87 | | | % 70.05/9.87 | | | ALPHA: (70) implies: % 70.05/9.87 | | | (71) host(all_65_4) = all_107_6 % 70.05/9.87 | | | (72) ( ~ (all_107_2 = all_107_4) & index(pendack, all_107_6) = % 70.05/9.87 | | | all_107_4 & host(all_65_5) = all_107_2 & $i(all_107_2) & % 70.05/9.87 | | | $i(all_107_4)) | ( ~ (all_107_3 = elec_2) & index(status, % 70.05/9.87 | | | all_107_6) = all_107_3 & $i(all_107_3)) | (index(pendack, % 70.05/9.87 | | | all_107_6) = all_107_4 & $i(all_107_4) & ~ leq(nbr_proc, % 70.05/9.87 | | | all_107_4)) | (queue(all_107_6) = all_107_5 & $i(all_107_5) & % 70.05/9.87 | | | ~ elem(all_65_2, all_107_5)) % 70.05/9.87 | | | % 70.05/9.87 | | | GROUND_INST: instantiating (8) with all_65_9, all_99_3, all_65_4, % 70.05/9.87 | | | simplifying with (33), (57) gives: % 70.05/9.87 | | | (73) all_99_3 = all_65_9 % 70.05/9.87 | | | % 70.05/9.87 | | | GROUND_INST: instantiating (8) with all_99_3, all_107_6, all_65_4, % 70.05/9.87 | | | simplifying with (57), (71) gives: % 70.05/9.87 | | | (74) all_107_6 = all_99_3 % 70.05/9.87 | | | % 70.05/9.87 | | | GROUND_INST: instantiating (8) with all_92_2, all_107_6, all_65_4, % 70.05/9.87 | | | simplifying with (55), (71) gives: % 70.05/9.87 | | | (75) all_107_6 = all_92_2 % 70.05/9.87 | | | % 70.05/9.87 | | | COMBINE_EQS: (74), (75) imply: % 70.05/9.87 | | | (76) all_99_3 = all_92_2 % 70.05/9.87 | | | % 70.05/9.87 | | | SIMP: (76) implies: % 70.05/9.87 | | | (77) all_99_3 = all_92_2 % 70.05/9.87 | | | % 70.05/9.87 | | | COMBINE_EQS: (73), (77) imply: % 70.05/9.87 | | | (78) all_92_2 = all_65_9 % 70.05/9.87 | | | % 70.05/9.87 | | | COMBINE_EQS: (75), (78) imply: % 70.05/9.87 | | | (79) all_107_6 = all_65_9 % 70.05/9.87 | | | % 70.05/9.87 | | | BETA: splitting (72) gives: % 70.05/9.87 | | | % 70.05/9.87 | | | Case 1: % 70.05/9.87 | | | | % 70.05/9.87 | | | | (80) ( ~ (all_107_2 = all_107_4) & index(pendack, all_107_6) = % 70.05/9.87 | | | | all_107_4 & host(all_65_5) = all_107_2 & $i(all_107_2) & % 70.05/9.87 | | | | $i(all_107_4)) | ( ~ (all_107_3 = elec_2) & index(status, % 70.05/9.87 | | | | all_107_6) = all_107_3 & $i(all_107_3)) % 70.05/9.87 | | | | % 70.05/9.87 | | | | BETA: splitting (80) gives: % 70.05/9.87 | | | | % 70.05/9.87 | | | | Case 1: % 70.05/9.87 | | | | | % 70.05/9.87 | | | | | (81) ~ (all_107_2 = all_107_4) & index(pendack, all_107_6) = % 70.05/9.87 | | | | | all_107_4 & host(all_65_5) = all_107_2 & $i(all_107_2) & % 70.05/9.87 | | | | | $i(all_107_4) % 70.05/9.87 | | | | | % 70.05/9.87 | | | | | ALPHA: (81) implies: % 70.05/9.88 | | | | | (82) ~ (all_107_2 = all_107_4) % 70.05/9.88 | | | | | (83) host(all_65_5) = all_107_2 % 70.05/9.88 | | | | | (84) index(pendack, all_107_6) = all_107_4 % 70.05/9.88 | | | | | % 70.05/9.88 | | | | | REDUCE: (79), (84) imply: % 70.05/9.88 | | | | | (85) index(pendack, all_65_9) = all_107_4 % 70.05/9.88 | | | | | % 70.05/9.88 | | | | | GROUND_INST: instantiating (8) with all_65_3, all_107_2, all_65_5, % 70.05/9.88 | | | | | simplifying with (32), (83) gives: % 70.05/9.88 | | | | | (86) all_107_2 = all_65_3 % 70.05/9.88 | | | | | % 70.05/9.88 | | | | | GROUND_INST: instantiating (9) with all_65_3, all_107_4, all_65_9, % 70.05/9.88 | | | | | pendack, simplifying with (39), (85) gives: % 70.05/9.88 | | | | | (87) all_107_4 = all_65_3 % 70.05/9.88 | | | | | % 70.05/9.88 | | | | | REDUCE: (82), (86), (87) imply: % 70.05/9.88 | | | | | (88) $false % 70.05/9.88 | | | | | % 70.05/9.88 | | | | | CLOSE: (88) is inconsistent. % 70.05/9.88 | | | | | % 70.05/9.88 | | | | Case 2: % 70.05/9.88 | | | | | % 70.05/9.88 | | | | | (89) ~ (all_107_3 = elec_2) & index(status, all_107_6) = all_107_3 % 70.05/9.88 | | | | | & $i(all_107_3) % 70.05/9.88 | | | | | % 70.05/9.88 | | | | | ALPHA: (89) implies: % 70.05/9.88 | | | | | (90) ~ (all_107_3 = elec_2) % 70.05/9.88 | | | | | (91) index(status, all_107_6) = all_107_3 % 70.05/9.88 | | | | | % 70.05/9.88 | | | | | REDUCE: (79), (91) imply: % 70.05/9.88 | | | | | (92) index(status, all_65_9) = all_107_3 % 70.05/9.88 | | | | | % 70.05/9.88 | | | | | GROUND_INST: instantiating (9) with elec_2, all_107_3, all_65_9, % 70.05/9.88 | | | | | status, simplifying with (40), (92) gives: % 70.05/9.88 | | | | | (93) all_107_3 = elec_2 % 70.05/9.88 | | | | | % 70.05/9.88 | | | | | REDUCE: (90), (93) imply: % 70.05/9.88 | | | | | (94) $false % 70.05/9.88 | | | | | % 70.05/9.88 | | | | | CLOSE: (94) is inconsistent. % 70.05/9.88 | | | | | % 70.05/9.88 | | | | End of split % 70.05/9.88 | | | | % 70.05/9.88 | | | Case 2: % 70.05/9.88 | | | | % 70.05/9.88 | | | | (95) (index(pendack, all_107_6) = all_107_4 & $i(all_107_4) & ~ % 70.05/9.88 | | | | leq(nbr_proc, all_107_4)) | (queue(all_107_6) = all_107_5 & % 70.05/9.88 | | | | $i(all_107_5) & ~ elem(all_65_2, all_107_5)) % 70.05/9.88 | | | | % 70.05/9.88 | | | | BETA: splitting (95) gives: % 70.05/9.88 | | | | % 70.05/9.88 | | | | Case 1: % 70.05/9.88 | | | | | % 70.05/9.88 | | | | | (96) index(pendack, all_107_6) = all_107_4 & $i(all_107_4) & ~ % 70.05/9.88 | | | | | leq(nbr_proc, all_107_4) % 70.05/9.88 | | | | | % 70.05/9.88 | | | | | ALPHA: (96) implies: % 70.05/9.88 | | | | | (97) ~ leq(nbr_proc, all_107_4) % 70.05/9.88 | | | | | (98) index(pendack, all_107_6) = all_107_4 % 70.05/9.88 | | | | | % 70.05/9.88 | | | | | REDUCE: (79), (98) imply: % 70.05/9.88 | | | | | (99) index(pendack, all_65_9) = all_107_4 % 70.05/9.88 | | | | | % 70.05/9.88 | | | | | GROUND_INST: instantiating (9) with all_65_3, all_107_4, all_65_9, % 70.05/9.88 | | | | | pendack, simplifying with (39), (99) gives: % 70.05/9.88 | | | | | (100) all_107_4 = all_65_3 % 70.05/9.88 | | | | | % 70.05/9.88 | | | | | REDUCE: (97), (100) imply: % 70.05/9.88 | | | | | (101) ~ leq(nbr_proc, all_65_3) % 70.05/9.88 | | | | | % 70.05/9.88 | | | | | PRED_UNIFY: (15), (101) imply: % 70.05/9.88 | | | | | (102) $false % 70.05/9.88 | | | | | % 70.05/9.88 | | | | | CLOSE: (102) is inconsistent. % 70.05/9.88 | | | | | % 70.05/9.88 | | | | Case 2: % 70.05/9.88 | | | | | % 70.05/9.88 | | | | | (103) queue(all_107_6) = all_107_5 & $i(all_107_5) & ~ % 70.05/9.88 | | | | | elem(all_65_2, all_107_5) % 70.05/9.88 | | | | | % 70.05/9.88 | | | | | ALPHA: (103) implies: % 70.05/9.88 | | | | | (104) ~ elem(all_65_2, all_107_5) % 70.05/9.88 | | | | | (105) queue(all_107_6) = all_107_5 % 70.05/9.88 | | | | | % 70.05/9.88 | | | | | REDUCE: (79), (105) imply: % 70.05/9.88 | | | | | (106) queue(all_65_9) = all_107_5 % 70.05/9.88 | | | | | % 70.05/9.88 | | | | | GROUND_INST: instantiating (7) with all_65_1, all_107_5, all_65_9, % 70.05/9.88 | | | | | simplifying with (29), (106) gives: % 70.05/9.88 | | | | | (107) all_107_5 = all_65_1 % 70.05/9.88 | | | | | % 70.05/9.88 | | | | | REDUCE: (104), (107) imply: % 70.05/9.88 | | | | | (108) ~ elem(all_65_2, all_65_1) % 70.05/9.88 | | | | | % 70.05/9.88 | | | | | BETA: splitting (53) gives: % 70.05/9.88 | | | | | % 70.05/9.88 | | | | | Case 1: % 70.05/9.88 | | | | | | % 70.05/9.88 | | | | | | (109) elem(all_65_2, all_65_1) % 70.05/9.88 | | | | | | % 70.05/9.88 | | | | | | PRED_UNIFY: (108), (109) imply: % 70.05/9.88 | | | | | | (110) $false % 70.05/9.88 | | | | | | % 70.05/9.88 | | | | | | CLOSE: (110) is inconsistent. % 70.05/9.88 | | | | | | % 70.05/9.88 | | | | | Case 2: % 70.05/9.88 | | | | | | % 70.05/9.88 | | | | | | (111) all_65_2 = all_65_8 % 70.05/9.88 | | | | | | % 70.05/9.88 | | | | | | REDUCE: (35), (111) imply: % 70.05/9.88 | | | | | | (112) m_Ack(all_65_4, all_65_5) = all_65_8 % 70.05/9.88 | | | | | | % 70.05/9.88 | | | | | | GROUND_INST: instantiating (axiom_62) with all_65_6, nbr_proc, % 70.05/9.88 | | | | | | all_65_3, simplifying with (5), (15), (22), (25), (47) % 70.05/9.88 | | | | | | gives: % 70.05/9.88 | | | | | | (113) leq(all_65_6, all_65_3) % 70.05/9.88 | | | | | | % 70.05/9.88 | | | | | | GROUND_INST: instantiating (4) with nbr_proc, all_65_3, simplifying % 70.05/9.88 | | | | | | with (5), (15), (25), (48) gives: % 70.05/9.88 | | | | | | (114) all_65_3 = nbr_proc % 70.05/9.88 | | | | | | % 70.05/9.88 | | | | | | GROUND_INST: instantiating (axiom_32) with all_65_13, all_65_4, % 70.05/9.88 | | | | | | all_65_14, all_65_5, all_65_8, simplifying with (17), % 70.05/9.88 | | | | | | (18), (23), (24), (34), (112) gives: % 70.05/9.88 | | | | | | (115) all_65_5 = all_65_14 % 70.05/9.88 | | | | | | % 70.05/9.88 | | | | | | GROUND_INST: instantiating (axiom_31) with all_65_13, all_65_4, % 70.05/9.88 | | | | | | all_65_14, all_65_5, all_65_8, simplifying with (17), % 70.05/9.88 | | | | | | (18), (23), (24), (34), (112) gives: % 70.05/9.88 | | | | | | (116) all_65_4 = all_65_13 % 70.05/9.88 | | | | | | % 70.05/9.88 | | | | | | REDUCE: (39), (114) imply: % 70.05/9.88 | | | | | | (117) index(pendack, all_65_9) = nbr_proc % 70.05/9.88 | | | | | | % 70.05/9.88 | | | | | | REDUCE: (33), (116) imply: % 70.05/9.88 | | | | | | (118) host(all_65_13) = all_65_9 % 70.05/9.88 | | | | | | % 70.05/9.88 | | | | | | REDUCE: (32), (114), (115) imply: % 70.05/9.88 | | | | | | (119) host(all_65_14) = nbr_proc % 70.05/9.88 | | | | | | % 70.05/9.88 | | | | | | REDUCE: (14), (116) imply: % 70.05/9.88 | | | | | | (120) setIn(all_65_13, alive) % 70.05/9.88 | | | | | | % 70.05/9.88 | | | | | | GROUND_INST: instantiating (8) with all_65_12, nbr_proc, all_65_14, % 70.05/9.88 | | | | | | simplifying with (30), (119) gives: % 70.05/9.88 | | | | | | (121) all_65_12 = nbr_proc % 70.05/9.88 | | | | | | % 70.05/9.88 | | | | | | REDUCE: (11), (121) imply: % 70.05/9.88 | | | | | | (122) ~ (all_65_6 = nbr_proc) % 70.05/9.88 | | | | | | % 70.05/9.88 | | | | | | REDUCE: (28), (121) imply: % 70.05/9.88 | | | | | | (123) queue(nbr_proc) = all_65_11 % 70.05/9.88 | | | | | | % 70.05/9.88 | | | | | | GROUND_INST: instantiating (46) with all_65_7, all_65_14, all_65_13, % 70.05/9.88 | | | | | | all_65_6, all_65_10, nbr_proc, simplifying with (13), % 70.05/9.88 | | | | | | (17), (18), (21), (31), (36), (119), (120) gives: % 70.05/9.89 | | | | | | (124) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? % 70.05/9.89 | | | | | | [v4: any] : ? [v5: $i] : (( ~ (v5 = norm) & index(status, % 70.05/9.89 | | | | | | all_65_6) = v5 & $i(v5)) | ( ~ (v4 = all_65_6) & % 70.05/9.89 | | | | | | index(ldr, all_65_6) = v4 & $i(v4)) | ( ~ (v3 = elec_2) % 70.05/9.89 | | | | | | & index(status, v0) = v3 & host(all_65_13) = v0 & % 70.05/9.89 | | | | | | $i(v3) & $i(v0)) | (index(pendack, v0) = v1 & % 70.05/9.89 | | | | | | host(all_65_13) = v0 & $i(v1) & $i(v0) & leq(v1, % 70.05/9.89 | | | | | | all_65_6)) | (queue(nbr_proc) = v2 & $i(v2) & ~ % 70.05/9.89 | | | | | | elem(all_65_10, v2))) % 70.05/9.89 | | | | | | % 70.05/9.89 | | | | | | DELTA: instantiating (124) with fresh symbols all_166_0, all_166_1, % 70.05/9.89 | | | | | | all_166_2, all_166_3, all_166_4, all_166_5 gives: % 70.05/9.89 | | | | | | (125) ( ~ (all_166_0 = norm) & index(status, all_65_6) = % 70.05/9.89 | | | | | | all_166_0 & $i(all_166_0)) | ( ~ (all_166_1 = all_65_6) & % 70.05/9.89 | | | | | | index(ldr, all_65_6) = all_166_1 & $i(all_166_1)) | ( ~ % 70.05/9.89 | | | | | | (all_166_2 = elec_2) & index(status, all_166_5) = % 70.05/9.89 | | | | | | all_166_2 & host(all_65_13) = all_166_5 & $i(all_166_2) & % 70.05/9.89 | | | | | | $i(all_166_5)) | (index(pendack, all_166_5) = all_166_4 & % 70.05/9.89 | | | | | | host(all_65_13) = all_166_5 & $i(all_166_4) & % 70.05/9.89 | | | | | | $i(all_166_5) & leq(all_166_4, all_65_6)) | % 70.05/9.89 | | | | | | (queue(nbr_proc) = all_166_3 & $i(all_166_3) & ~ % 70.05/9.89 | | | | | | elem(all_65_10, all_166_3)) % 70.05/9.89 | | | | | | % 70.05/9.89 | | | | | | BETA: splitting (125) gives: % 70.05/9.89 | | | | | | % 70.05/9.89 | | | | | | Case 1: % 70.05/9.89 | | | | | | | % 70.05/9.89 | | | | | | | (126) ( ~ (all_166_0 = norm) & index(status, all_65_6) = % 70.05/9.89 | | | | | | | all_166_0 & $i(all_166_0)) | ( ~ (all_166_1 = all_65_6) % 70.05/9.89 | | | | | | | & index(ldr, all_65_6) = all_166_1 & $i(all_166_1)) % 70.05/9.89 | | | | | | | % 70.05/9.89 | | | | | | | BETA: splitting (126) gives: % 70.05/9.89 | | | | | | | % 70.05/9.89 | | | | | | | Case 1: % 70.05/9.89 | | | | | | | | % 70.05/9.89 | | | | | | | | (127) ~ (all_166_0 = norm) & index(status, all_65_6) = % 70.05/9.89 | | | | | | | | all_166_0 & $i(all_166_0) % 70.05/9.89 | | | | | | | | % 70.05/9.89 | | | | | | | | ALPHA: (127) implies: % 70.05/9.89 | | | | | | | | (128) ~ (all_166_0 = norm) % 70.05/9.89 | | | | | | | | (129) index(status, all_65_6) = all_166_0 % 70.05/9.89 | | | | | | | | % 70.05/9.89 | | | | | | | | GROUND_INST: instantiating (9) with norm, all_166_0, all_65_6, % 70.05/9.89 | | | | | | | | status, simplifying with (41), (129) gives: % 70.05/9.89 | | | | | | | | (130) all_166_0 = norm % 70.05/9.89 | | | | | | | | % 70.05/9.89 | | | | | | | | REDUCE: (128), (130) imply: % 70.05/9.89 | | | | | | | | (131) $false % 70.05/9.89 | | | | | | | | % 70.05/9.89 | | | | | | | | CLOSE: (131) is inconsistent. % 70.05/9.89 | | | | | | | | % 70.05/9.89 | | | | | | | Case 2: % 70.05/9.89 | | | | | | | | % 70.05/9.89 | | | | | | | | (132) ~ (all_166_1 = all_65_6) & index(ldr, all_65_6) = % 70.05/9.89 | | | | | | | | all_166_1 & $i(all_166_1) % 70.05/9.89 | | | | | | | | % 70.05/9.89 | | | | | | | | ALPHA: (132) implies: % 70.05/9.89 | | | | | | | | (133) ~ (all_166_1 = all_65_6) % 70.05/9.89 | | | | | | | | (134) index(ldr, all_65_6) = all_166_1 % 70.05/9.89 | | | | | | | | % 70.05/9.89 | | | | | | | | GROUND_INST: instantiating (9) with all_65_6, all_166_1, % 70.05/9.89 | | | | | | | | all_65_6, ldr, simplifying with (42), (134) gives: % 70.05/9.89 | | | | | | | | (135) all_166_1 = all_65_6 % 70.05/9.89 | | | | | | | | % 70.05/9.89 | | | | | | | | REDUCE: (133), (135) imply: % 70.05/9.89 | | | | | | | | (136) $false % 70.05/9.89 | | | | | | | | % 70.05/9.89 | | | | | | | | CLOSE: (136) is inconsistent. % 70.05/9.89 | | | | | | | | % 70.05/9.89 | | | | | | | End of split % 70.05/9.89 | | | | | | | % 70.05/9.89 | | | | | | Case 2: % 70.05/9.89 | | | | | | | % 70.05/9.89 | | | | | | | (137) ( ~ (all_166_2 = elec_2) & index(status, all_166_5) = % 70.05/9.89 | | | | | | | all_166_2 & host(all_65_13) = all_166_5 & $i(all_166_2) % 70.05/9.89 | | | | | | | & $i(all_166_5)) | (index(pendack, all_166_5) = % 70.05/9.89 | | | | | | | all_166_4 & host(all_65_13) = all_166_5 & $i(all_166_4) % 70.05/9.89 | | | | | | | & $i(all_166_5) & leq(all_166_4, all_65_6)) | % 70.05/9.89 | | | | | | | (queue(nbr_proc) = all_166_3 & $i(all_166_3) & ~ % 70.05/9.89 | | | | | | | elem(all_65_10, all_166_3)) % 70.05/9.89 | | | | | | | % 70.05/9.89 | | | | | | | BETA: splitting (137) gives: % 70.05/9.89 | | | | | | | % 70.05/9.89 | | | | | | | Case 1: % 70.05/9.89 | | | | | | | | % 70.05/9.89 | | | | | | | | (138) ~ (all_166_2 = elec_2) & index(status, all_166_5) = % 70.05/9.89 | | | | | | | | all_166_2 & host(all_65_13) = all_166_5 & $i(all_166_2) % 70.05/9.89 | | | | | | | | & $i(all_166_5) % 70.05/9.89 | | | | | | | | % 70.05/9.89 | | | | | | | | ALPHA: (138) implies: % 70.05/9.89 | | | | | | | | (139) ~ (all_166_2 = elec_2) % 70.05/9.89 | | | | | | | | (140) host(all_65_13) = all_166_5 % 70.05/9.89 | | | | | | | | (141) index(status, all_166_5) = all_166_2 % 70.05/9.89 | | | | | | | | % 70.05/9.89 | | | | | | | | GROUND_INST: instantiating (8) with all_65_9, all_166_5, % 70.05/9.89 | | | | | | | | all_65_13, simplifying with (118), (140) gives: % 70.05/9.89 | | | | | | | | (142) all_166_5 = all_65_9 % 70.05/9.89 | | | | | | | | % 70.05/9.89 | | | | | | | | REDUCE: (141), (142) imply: % 70.05/9.89 | | | | | | | | (143) index(status, all_65_9) = all_166_2 % 70.05/9.89 | | | | | | | | % 70.05/9.89 | | | | | | | | GROUND_INST: instantiating (9) with elec_2, all_166_2, all_65_9, % 70.05/9.89 | | | | | | | | status, simplifying with (40), (143) gives: % 70.05/9.89 | | | | | | | | (144) all_166_2 = elec_2 % 70.05/9.89 | | | | | | | | % 70.05/9.89 | | | | | | | | REDUCE: (139), (144) imply: % 70.05/9.89 | | | | | | | | (145) $false % 70.05/9.89 | | | | | | | | % 70.05/9.89 | | | | | | | | CLOSE: (145) is inconsistent. % 70.05/9.89 | | | | | | | | % 70.05/9.89 | | | | | | | Case 2: % 70.05/9.89 | | | | | | | | % 70.05/9.89 | | | | | | | | (146) (index(pendack, all_166_5) = all_166_4 & % 70.05/9.89 | | | | | | | | host(all_65_13) = all_166_5 & $i(all_166_4) & % 70.05/9.89 | | | | | | | | $i(all_166_5) & leq(all_166_4, all_65_6)) | % 70.05/9.89 | | | | | | | | (queue(nbr_proc) = all_166_3 & $i(all_166_3) & ~ % 70.05/9.89 | | | | | | | | elem(all_65_10, all_166_3)) % 70.05/9.89 | | | | | | | | % 70.05/9.89 | | | | | | | | BETA: splitting (146) gives: % 70.05/9.89 | | | | | | | | % 70.05/9.89 | | | | | | | | Case 1: % 70.05/9.89 | | | | | | | | | % 70.05/9.89 | | | | | | | | | (147) index(pendack, all_166_5) = all_166_4 & % 70.05/9.89 | | | | | | | | | host(all_65_13) = all_166_5 & $i(all_166_4) & % 70.05/9.89 | | | | | | | | | $i(all_166_5) & leq(all_166_4, all_65_6) % 70.05/9.89 | | | | | | | | | % 70.05/9.89 | | | | | | | | | ALPHA: (147) implies: % 70.05/9.89 | | | | | | | | | (148) leq(all_166_4, all_65_6) % 70.05/9.89 | | | | | | | | | (149) $i(all_166_4) % 70.05/9.89 | | | | | | | | | (150) host(all_65_13) = all_166_5 % 70.05/9.89 | | | | | | | | | (151) index(pendack, all_166_5) = all_166_4 % 70.05/9.89 | | | | | | | | | % 70.05/9.89 | | | | | | | | | GROUND_INST: instantiating (8) with all_65_9, all_166_5, % 70.05/9.89 | | | | | | | | | all_65_13, simplifying with (118), (150) gives: % 70.05/9.89 | | | | | | | | | (152) all_166_5 = all_65_9 % 70.05/9.89 | | | | | | | | | % 70.05/9.89 | | | | | | | | | REDUCE: (151), (152) imply: % 70.05/9.89 | | | | | | | | | (153) index(pendack, all_65_9) = all_166_4 % 70.05/9.89 | | | | | | | | | % 70.05/9.89 | | | | | | | | | GROUND_INST: instantiating (9) with nbr_proc, all_166_4, % 70.05/9.89 | | | | | | | | | all_65_9, pendack, simplifying with (117), (153) % 70.05/9.89 | | | | | | | | | gives: % 70.05/9.89 | | | | | | | | | (154) all_166_4 = nbr_proc % 70.05/9.89 | | | | | | | | | % 70.05/9.89 | | | | | | | | | REDUCE: (148), (154) imply: % 70.05/9.89 | | | | | | | | | (155) leq(nbr_proc, all_65_6) % 70.05/9.89 | | | | | | | | | % 70.05/9.89 | | | | | | | | | GROUND_INST: instantiating (4) with all_65_6, nbr_proc, % 70.05/9.89 | | | | | | | | | simplifying with (5), (22), (47), (155) gives: % 70.05/9.89 | | | | | | | | | (156) all_65_6 = nbr_proc % 70.05/9.89 | | | | | | | | | % 70.05/9.89 | | | | | | | | | REDUCE: (122), (156) imply: % 70.05/9.89 | | | | | | | | | (157) $false % 70.05/9.89 | | | | | | | | | % 70.05/9.89 | | | | | | | | | CLOSE: (157) is inconsistent. % 70.05/9.89 | | | | | | | | | % 70.05/9.89 | | | | | | | | Case 2: % 70.05/9.89 | | | | | | | | | % 70.05/9.89 | | | | | | | | | (158) queue(nbr_proc) = all_166_3 & $i(all_166_3) & ~ % 70.05/9.89 | | | | | | | | | elem(all_65_10, all_166_3) % 70.05/9.89 | | | | | | | | | % 70.05/9.89 | | | | | | | | | ALPHA: (158) implies: % 70.05/9.89 | | | | | | | | | (159) ~ elem(all_65_10, all_166_3) % 70.05/9.89 | | | | | | | | | (160) queue(nbr_proc) = all_166_3 % 70.05/9.89 | | | | | | | | | % 70.05/9.89 | | | | | | | | | GROUND_INST: instantiating (7) with all_65_11, all_166_3, % 70.05/9.89 | | | | | | | | | nbr_proc, simplifying with (123), (160) gives: % 70.05/9.89 | | | | | | | | | (161) all_166_3 = all_65_11 % 70.05/9.89 | | | | | | | | | % 70.05/9.89 | | | | | | | | | REDUCE: (159), (161) imply: % 70.05/9.89 | | | | | | | | | (162) ~ elem(all_65_10, all_65_11) % 70.05/9.89 | | | | | | | | | % 70.05/9.89 | | | | | | | | | PRED_UNIFY: (52), (162) imply: % 70.05/9.89 | | | | | | | | | (163) $false % 70.05/9.89 | | | | | | | | | % 70.05/9.89 | | | | | | | | | CLOSE: (163) is inconsistent. % 70.05/9.89 | | | | | | | | | % 70.05/9.89 | | | | | | | | End of split % 70.05/9.89 | | | | | | | | % 70.05/9.89 | | | | | | | End of split % 70.05/9.89 | | | | | | | % 70.05/9.89 | | | | | | End of split % 70.05/9.89 | | | | | | % 70.05/9.89 | | | | | End of split % 70.05/9.89 | | | | | % 70.05/9.89 | | | | End of split % 70.05/9.89 | | | | % 70.05/9.89 | | | End of split % 70.05/9.89 | | | % 70.05/9.89 | | End of split % 70.05/9.89 | | % 70.05/9.89 | End of split % 70.05/9.89 | % 70.05/9.89 End of proof % 70.05/9.89 % SZS output end Proof for theBenchmark % 70.05/9.90 % 70.05/9.90 9262ms %------------------------------------------------------------------------------