%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SWV472+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 : n025.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 22:56:38 EDT 2023 % Result : Theorem 53.88s 7.87s % Output : Proof 77.98s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV472+1 : TPTP v8.1.2. Released v4.0.0. % 0.00/0.12 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.12/0.33 % Computer : n025.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 03:14:54 EDT 2023 % 0.12/0.33 % CPUTime : % 0.18/0.58 ________ _____ % 0.18/0.58 ___ __ \_________(_)________________________________ % 0.18/0.58 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.18/0.58 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.18/0.58 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.18/0.58 % 0.18/0.58 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.18/0.58 (2023-06-19) % 0.18/0.58 % 0.18/0.58 (c) Philipp Rümmer, 2009-2023 % 0.18/0.58 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.18/0.58 Amanda Stjerna. % 0.18/0.58 Free software under BSD-3-Clause. % 0.18/0.58 % 0.18/0.58 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.18/0.58 % 0.18/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.18/0.60 Running up to 7 provers in parallel. % 0.18/0.61 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.18/0.61 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.18/0.61 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.18/0.61 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.18/0.61 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.18/0.61 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.18/0.61 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.48/1.22 Prover 4: Preprocessing ... % 3.48/1.23 Prover 1: Preprocessing ... % 3.89/1.28 Prover 2: Preprocessing ... % 3.89/1.28 Prover 5: Preprocessing ... % 3.89/1.28 Prover 0: Preprocessing ... % 3.89/1.28 Prover 3: Preprocessing ... % 3.89/1.28 Prover 6: Preprocessing ... % 10.04/2.12 Prover 3: Constructing countermodel ... % 10.04/2.15 Prover 1: Constructing countermodel ... % 10.04/2.16 Prover 6: Proving ... % 10.62/2.27 Prover 5: Proving ... % 11.35/2.30 Prover 2: Proving ... % 11.58/2.41 Prover 4: Constructing countermodel ... % 12.26/2.45 Prover 0: Proving ... % 13.53/2.71 Prover 3: gave up % 13.53/2.72 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 14.73/2.82 Prover 7: Preprocessing ... % 18.39/3.30 Prover 7: Warning: ignoring some quantifiers % 18.39/3.35 Prover 7: Constructing countermodel ... % 21.06/3.65 Prover 1: gave up % 21.45/3.65 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 21.45/3.71 Prover 8: Preprocessing ... % 22.90/3.91 Prover 8: Warning: ignoring some quantifiers % 22.90/3.92 Prover 8: Constructing countermodel ... % 28.76/4.67 Prover 8: gave up % 28.76/4.67 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 29.54/4.73 Prover 9: Preprocessing ... % 32.60/5.15 Prover 9: Constructing countermodel ... % 53.88/7.87 Prover 2: proved (7238ms) % 53.88/7.87 % 53.88/7.87 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 53.88/7.87 % 53.88/7.87 Prover 9: stopped % 53.88/7.87 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 53.88/7.87 Prover 5: stopped % 53.88/7.87 Prover 6: stopped % 53.99/7.88 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 53.99/7.88 Prover 0: stopped % 53.99/7.89 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 53.99/7.89 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 53.99/7.89 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 54.50/7.96 Prover 10: Preprocessing ... % 54.50/7.97 Prover 11: Preprocessing ... % 54.50/7.98 Prover 16: Preprocessing ... % 54.50/7.98 Prover 13: Preprocessing ... % 54.50/7.99 Prover 19: Preprocessing ... % 55.17/8.05 Prover 10: Warning: ignoring some quantifiers % 55.17/8.05 Prover 10: Constructing countermodel ... % 55.58/8.11 Prover 16: Warning: ignoring some quantifiers % 55.58/8.12 Prover 16: Constructing countermodel ... % 56.24/8.21 Prover 19: Warning: ignoring some quantifiers % 56.24/8.22 Prover 13: Warning: ignoring some quantifiers % 56.24/8.23 Prover 19: Constructing countermodel ... % 56.24/8.24 Prover 13: Constructing countermodel ... % 56.24/8.25 Prover 11: Constructing countermodel ... % 77.53/10.94 Prover 16: Found proof (size 101) % 77.53/10.94 Prover 16: proved (3045ms) % 77.53/10.94 Prover 11: stopped % 77.53/10.94 Prover 7: stopped % 77.53/10.94 Prover 13: stopped % 77.53/10.94 Prover 19: stopped % 77.53/10.94 Prover 10: stopped % 77.53/10.94 Prover 4: stopped % 77.53/10.94 % 77.53/10.94 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 77.53/10.94 % 77.53/10.95 % SZS output start Proof for theBenchmark % 77.53/10.95 Assumptions after simplification: % 77.53/10.95 --------------------------------- % 77.53/10.95 % 77.53/10.95 (axiom_01) % 77.53/10.98 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (host(v1) = v2) | ~ (host(v0) = % 77.53/10.98 v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ( ~ (v3 = v2) & s(v2) = v3 & % 77.53/10.98 $i(v3))) % 77.53/10.98 % 77.53/10.98 (axiom_03) % 77.53/10.98 $i(nbr_proc) & $i(zero) & ? [v0: $i] : (s(zero) = v0 & $i(v0) & leq(v0, % 77.53/10.98 nbr_proc)) % 77.53/10.98 % 77.53/10.98 (axiom_17) % 77.53/10.98 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (m_Down(v0) = v2) | ~ % 77.53/10.98 (m_Halt(v1) = v2) | ~ $i(v1) | ~ $i(v0)) % 77.53/10.98 % 77.53/10.98 (axiom_46) % 77.53/10.98 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 77.53/10.98 (cons(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ elem(v0, v3) | % 77.53/10.98 elem(v0, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 77.53/10.98 (cons(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ elem(v0, v2) | % 77.53/10.98 elem(v0, v3)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (cons(v0, v1) % 77.53/10.98 = v2) | ~ $i(v1) | ~ $i(v0) | elem(v0, v2)) % 77.53/10.98 % 77.53/10.98 (axiom_47) % 77.53/11.01 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 77.53/11.01 (snoc(v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ elem(v0, v3) | % 77.53/11.01 elem(v0, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 77.53/11.01 (snoc(v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ elem(v0, v2) | % 77.53/11.01 elem(v0, v3)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (snoc(v1, v0) % 77.53/11.01 = v2) | ~ $i(v1) | ~ $i(v0) | elem(v0, v2)) % 77.53/11.01 % 77.53/11.01 (conj) % 77.53/11.03 $i(pendack) & $i(down) & $i(ldr) & $i(elid) & $i(status) & $i(alive) & % 77.53/11.03 $i(norm) & $i(wait) & $i(elec_1) & $i(elec_2) & $i(nbr_proc) & $i(zero) & ? % 77.53/11.03 [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] % 77.53/11.03 : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? % 77.53/11.03 [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? % 77.53/11.03 [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: $i] : ( ~ (v5 = nbr_proc) & % 77.53/11.03 index(pendack, v5) = v8 & index(down, nbr_proc) = v15 & index(elid, v5) = v2 % 77.53/11.03 & index(status, v5) = elec_2 & index(status, nbr_proc) = elec_1 & snoc(v1, % 77.53/11.03 v9) = v10 & cons(v7, v1) = v6 & m_Down(v13) = v17 & m_Down(v12) = v19 & % 77.53/11.03 m_Halt(v3) = v9 & s(v8) = v5 & s(zero) = v0 & m_Ack(v2, v4) = v7 & host(v14) % 77.53/11.03 = nbr_proc & host(v13) = v16 & host(v12) = nbr_proc & host(v11) = v5 & % 77.53/11.03 host(v4) = v8 & host(v3) = v5 & queue(v5) = v6 & queue(nbr_proc) = v18 & % 77.53/11.03 $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & % 77.53/11.03 $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & % 77.53/11.03 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & setIn(v11, alive) & setIn(v3, % 77.53/11.03 alive) & elem(v19, v10) & elem(v17, v18) & ~ leq(nbr_proc, v8) & ! [v20: % 77.53/11.03 $i] : ! [v21: $i] : ! [v22: $i] : ! [v23: $i] : ! [v24: $i] : ! [v25: % 77.53/11.03 $i] : ! [v26: $i] : ! [v27: $i] : (v25 = v24 | ~ (m_Down(v23) = v26) | % 77.53/11.03 ~ (m_Down(v21) = v27) | ~ (host(v22) = v24) | ~ (host(v20) = v25) | ~ % 77.53/11.03 $i(v23) | ~ $i(v22) | ~ $i(v21) | ~ $i(v20) | ~ setIn(v22, alive) | ~ % 77.53/11.03 setIn(v20, alive) | ? [v28: $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: % 77.53/11.03 $i] : (( ~ (v29 = v24) & host(v23) = v29 & $i(v29)) | ( ~ (v28 = v25) & % 77.53/11.03 host(v21) = v28 & $i(v28)) | (queue(v25) = v30 & $i(v30) & ~ % 77.53/11.03 elem(v26, v30)) | (queue(v24) = v31 & $i(v31) & ~ elem(v27, v31)))) & % 77.53/11.03 ! [v20: $i] : ! [v21: $i] : ! [v22: $i] : ! [v23: $i] : ! [v24: $i] : % 77.53/11.03 ! [v25: $i] : ! [v26: $i] : (v25 = v24 | ~ (m_Down(v23) = v26) | ~ % 77.53/11.03 (host(v22) = v24) | ~ (host(v21) = v25) | ~ (host(v20) = v25) | ~ % 77.53/11.03 $i(v23) | ~ $i(v22) | ~ $i(v21) | ~ $i(v20) | ~ setIn(v22, alive) | ~ % 77.53/11.03 setIn(v20, alive) | ? [v27: $i] : ? [v28: $i] : ? [v29: $i] : (( ~ (v27 % 77.53/11.03 = v24) & host(v23) = v27 & $i(v27)) | (index(down, v24) = v29 & % 77.53/11.03 $i(v29) & ~ setIn(v25, v29)) | (queue(v25) = v28 & $i(v28) & ~ % 77.53/11.03 elem(v26, v28)))) & ! [v20: $i] : ! [v21: $i] : ! [v22: $i] : ! % 77.53/11.03 [v23: $i] : ! [v24: $i] : ! [v25: $i] : ! [v26: $i] : ( ~ (m_Down(v22) = % 77.53/11.03 v24) | ~ (m_Down(v21) = v25) | ~ (host(v23) = nbr_proc) | ~ % 77.53/11.03 (host(v20) = v26) | ~ $i(v23) | ~ $i(v22) | ~ $i(v21) | ~ $i(v20) | ~ % 77.53/11.03 setIn(v20, alive) | ? [v27: $i] : ? [v28: $i] : ? [v29: $i] : ? [v30: % 77.53/11.03 $i] : ? [v31: $i] : ? [v32: $i] : ($i(v32) & ((v29 = v18 & ~ % 77.53/11.03 elem(v24, v18)) | (v27 = v15 & ~ (v32 = v28) & host(v22) = v28 & % 77.53/11.03 $i(v28) & leq(v0, v32) & ~ leq(nbr_proc, v32) & ~ setIn(v32, v15)) % 77.53/11.03 | ( ~ (v30 = nbr_proc) & host(v21) = v30 & $i(v30)) | (queue(v26) = % 77.53/11.03 v31 & $i(v31) & ~ elem(v25, v31))))) & ! [v20: $i] : ! [v21: $i] % 77.53/11.03 : ! [v22: $i] : ! [v23: $i] : ! [v24: $i] : ! [v25: $i] : (v24 = v23 | % 77.53/11.03 ~ (m_Down(v20) = v25) | ~ (host(v22) = v23) | ~ (host(v21) = v24) | ~ % 77.53/11.03 $i(v22) | ~ $i(v21) | ~ $i(v20) | ~ setIn(v22, alive) | ? [v26: $i] : % 77.53/11.03 ? [v27: $i] : ? [v28: $i] : ? [v29: $i] : ? [v30: $i] : (( ~ (v29 = % 77.53/11.03 v24) & index(elid, v23) = v28 & host(v28) = v29 & $i(v29) & $i(v28)) % 77.53/11.03 | ( ~ (v27 = wait) & index(status, v23) = v27 & $i(v27)) | ( ~ (v26 = % 77.53/11.03 v23) & host(v20) = v26 & $i(v26)) | (queue(v24) = v30 & $i(v30) & ~ % 77.53/11.03 elem(v25, v30)))) & ! [v20: $i] : ! [v21: $i] : ! [v22: $i] : ! % 77.53/11.03 [v23: $i] : ! [v24: $i] : ! [v25: $i] : (v24 = v23 | ~ (m_Down(v20) = % 77.53/11.03 v25) | ~ (host(v22) = v23) | ~ (host(v21) = v24) | ~ $i(v22) | ~ % 77.53/11.03 $i(v21) | ~ $i(v20) | ~ setIn(v22, alive) | ? [v26: $i] : ? [v27: $i] % 77.53/11.03 : ? [v28: $i] : ? [v29: $i] : (( ~ (v28 = v24) & index(ldr, v23) = v28 & % 77.53/11.03 $i(v28)) | ( ~ (v27 = norm) & index(status, v23) = v27 & $i(v27)) | ( % 77.53/11.03 ~ (v26 = v23) & host(v20) = v26 & $i(v26)) | (queue(v24) = v29 & % 77.53/11.03 $i(v29) & ~ elem(v25, v29)))) & ! [v20: $i] : ! [v21: $i] : ! % 77.53/11.03 [v22: $i] : ! [v23: $i] : ( ~ (m_Ldr(v21) = v22) | ~ (host(v20) = v23) | % 77.53/11.03 ~ $i(v21) | ~ $i(v20) | ? [v24: $i] : ? [v25: $i] : ((host(v21) = v25 & % 77.53/11.03 $i(v25) & ~ leq(v23, v25)) | (queue(v23) = v24 & $i(v24) & ~ % 77.53/11.03 elem(v22, v24)))) & ! [v20: $i] : ! [v21: $i] : ! [v22: $i] : ! % 77.53/11.03 [v23: $i] : ( ~ (m_Down(v21) = v22) | ~ (host(v20) = v23) | ~ $i(v21) | ~ % 77.53/11.03 $i(v20) | ? [v24: $i] : ? [v25: $i] : (( ~ (v25 = v23) & host(v21) = v25 % 77.53/11.03 & $i(v25)) | (queue(v23) = v24 & $i(v24) & ~ elem(v22, v24)))) & ! % 77.53/11.03 [v20: $i] : ! [v21: $i] : ! [v22: $i] : (v21 = v20 | ~ (host(v21) = v22) % 77.53/11.03 | ~ (host(v20) = v22) | ~ $i(v21) | ~ $i(v20) | ~ setIn(v21, alive) | % 77.53/11.03 ~ setIn(v20, alive)) & ! [v20: $i] : ! [v21: $i] : ! [v22: $i] : ( ~ % 77.53/11.03 (m_NotNorm(v20) = v22) | ~ (host(v21) = nbr_proc) | ~ $i(v21) | ~ % 77.53/11.03 $i(v20) | ~ elem(v22, v18)) & ! [v20: $i] : ! [v21: $i] : ( ~ % 77.53/11.03 (host(v20) = v21) | ~ $i(v20) | ~ setIn(v20, alive) | ? [v22: $i] : ? % 77.53/11.03 [v23: $i] : ((v23 = v20 & index(elid, v21) = v20) | ( ~ (v22 = elec_1) & % 77.53/11.03 ~ (v22 = elec_2) & index(status, v21) = v22 & $i(v22)))) & ! [v20: % 77.53/11.03 $i] : (v20 = v16 | ~ $i(v20) | ~ leq(v0, v20) | leq(nbr_proc, v20) | % 77.53/11.03 setIn(v20, v15))) % 77.53/11.03 % 77.53/11.03 (function-axioms) % 77.53/11.03 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 77.53/11.03 (index(v3, v2) = v1) | ~ (index(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] % 77.53/11.03 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (snoc(v3, v2) = v1) | ~ (snoc(v3, % 77.53/11.03 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 % 77.53/11.03 = v0 | ~ (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0)) & ! [v0: $i] : ! % 77.53/11.03 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (m_Ack(v3, v2) = v1) | ~ % 77.53/11.03 (m_Ack(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | % 77.53/11.03 ~ (pidMsg(v2) = v1) | ~ (pidMsg(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : % 77.53/11.03 ! [v2: $i] : (v1 = v0 | ~ (init(v2) = v1) | ~ (init(v2) = v0)) & ! [v0: $i] % 77.53/11.03 : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (last(v2) = v1) | ~ (last(v2) = % 77.53/11.03 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (tail(v2) = % 77.53/11.03 v1) | ~ (tail(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 % 77.53/11.03 = v0 | ~ (head(v2) = v1) | ~ (head(v2) = v0)) & ! [v0: $i] : ! [v1: $i] % 77.53/11.03 : ! [v2: $i] : (v1 = v0 | ~ (m_NormQ(v2) = v1) | ~ (m_NormQ(v2) = v0)) & ! % 77.53/11.03 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (m_Ldr(v2) = v1) | ~ % 77.53/11.03 (m_Ldr(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 77.53/11.03 (m_NotNorm(v2) = v1) | ~ (m_NotNorm(v2) = v0)) & ! [v0: $i] : ! [v1: $i] % 77.53/11.03 : ! [v2: $i] : (v1 = v0 | ~ (m_Down(v2) = v1) | ~ (m_Down(v2) = v0)) & ! % 77.53/11.03 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (m_Halt(v2) = v1) | ~ % 77.53/11.03 (m_Halt(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 77.53/11.03 (s(v2) = v1) | ~ (s(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 77.53/11.03 (v1 = v0 | ~ (host(v2) = v1) | ~ (host(v2) = v0)) & ! [v0: $i] : ! [v1: % 77.53/11.03 $i] : ! [v2: $i] : (v1 = v0 | ~ (queue(v2) = v1) | ~ (queue(v2) = v0)) % 77.53/11.03 % 77.53/11.03 Further assumptions not needed in the proof: % 77.53/11.03 -------------------------------------------- % 77.53/11.03 axiom, axiom_02, axiom_04, axiom_05, axiom_06, axiom_07, axiom_08, axiom_09, % 77.53/11.03 axiom_10, axiom_11, axiom_12, axiom_13, axiom_14, axiom_15, axiom_16, axiom_18, % 77.53/11.03 axiom_19, axiom_20, axiom_21, axiom_22, axiom_23, axiom_24, axiom_25, axiom_26, % 77.53/11.03 axiom_27, axiom_28, axiom_29, axiom_30, axiom_31, axiom_32, axiom_33, axiom_34, % 77.53/11.03 axiom_35, axiom_36, axiom_37, axiom_38, axiom_39, axiom_40, axiom_41, axiom_42, % 77.53/11.03 axiom_43, axiom_44, axiom_45, axiom_48, axiom_49, axiom_50, axiom_51, axiom_52, % 77.53/11.03 axiom_53, axiom_54, axiom_55, axiom_56, axiom_57, axiom_58, axiom_59, axiom_60, % 77.53/11.03 axiom_61, axiom_62, axiom_63, axiom_64, axiom_65 % 77.53/11.03 % 77.53/11.03 Those formulas are unsatisfiable: % 77.53/11.03 --------------------------------- % 77.53/11.03 % 77.53/11.03 Begin of proof % 77.53/11.03 | % 77.53/11.03 | ALPHA: (axiom_03) implies: % 77.53/11.03 | (1) ? [v0: $i] : (s(zero) = v0 & $i(v0) & leq(v0, nbr_proc)) % 77.53/11.03 | % 77.53/11.03 | ALPHA: (axiom_46) implies: % 77.53/11.04 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (cons(v1, % 77.53/11.04 | v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ elem(v0, v2) | % 77.53/11.04 | elem(v0, v3)) % 77.53/11.04 | % 77.53/11.04 | ALPHA: (axiom_47) implies: % 77.53/11.04 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 77.53/11.04 | (snoc(v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ elem(v0, % 77.53/11.04 | v3) | elem(v0, v2)) % 77.53/11.04 | % 77.53/11.04 | ALPHA: (conj) implies: % 77.53/11.04 | (4) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 77.53/11.04 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? % 77.53/11.04 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : % 77.53/11.04 | ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: % 77.53/11.04 | $i] : ( ~ (v5 = nbr_proc) & index(pendack, v5) = v8 & index(down, % 77.53/11.04 | nbr_proc) = v15 & index(elid, v5) = v2 & index(status, v5) = elec_2 % 77.53/11.04 | & index(status, nbr_proc) = elec_1 & snoc(v1, v9) = v10 & cons(v7, % 77.53/11.04 | v1) = v6 & m_Down(v13) = v17 & m_Down(v12) = v19 & m_Halt(v3) = v9 % 77.53/11.04 | & s(v8) = v5 & s(zero) = v0 & m_Ack(v2, v4) = v7 & host(v14) = % 77.53/11.04 | nbr_proc & host(v13) = v16 & host(v12) = nbr_proc & host(v11) = v5 & % 77.53/11.04 | host(v4) = v8 & host(v3) = v5 & queue(v5) = v6 & queue(nbr_proc) = % 77.53/11.04 | v18 & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & % 77.53/11.04 | $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & % 77.53/11.04 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & % 77.53/11.04 | setIn(v11, alive) & setIn(v3, alive) & elem(v19, v10) & elem(v17, % 77.53/11.04 | v18) & ~ leq(nbr_proc, v8) & ! [v20: $i] : ! [v21: $i] : ! % 77.53/11.04 | [v22: $i] : ! [v23: $i] : ! [v24: $i] : ! [v25: $i] : ! [v26: $i] % 77.53/11.04 | : ! [v27: $i] : (v25 = v24 | ~ (m_Down(v23) = v26) | ~ % 77.53/11.04 | (m_Down(v21) = v27) | ~ (host(v22) = v24) | ~ (host(v20) = v25) | % 77.53/11.04 | ~ $i(v23) | ~ $i(v22) | ~ $i(v21) | ~ $i(v20) | ~ setIn(v22, % 77.53/11.04 | alive) | ~ setIn(v20, alive) | ? [v28: $i] : ? [v29: $i] : ? % 77.53/11.04 | [v30: $i] : ? [v31: $i] : (( ~ (v29 = v24) & host(v23) = v29 & % 77.53/11.04 | $i(v29)) | ( ~ (v28 = v25) & host(v21) = v28 & $i(v28)) | % 77.53/11.04 | (queue(v25) = v30 & $i(v30) & ~ elem(v26, v30)) | (queue(v24) = % 77.53/11.04 | v31 & $i(v31) & ~ elem(v27, v31)))) & ! [v20: $i] : ! [v21: % 77.53/11.04 | $i] : ! [v22: $i] : ! [v23: $i] : ! [v24: $i] : ! [v25: $i] : % 77.53/11.04 | ! [v26: $i] : (v25 = v24 | ~ (m_Down(v23) = v26) | ~ (host(v22) = % 77.53/11.04 | v24) | ~ (host(v21) = v25) | ~ (host(v20) = v25) | ~ $i(v23) | % 77.53/11.04 | ~ $i(v22) | ~ $i(v21) | ~ $i(v20) | ~ setIn(v22, alive) | ~ % 77.53/11.04 | setIn(v20, alive) | ? [v27: $i] : ? [v28: $i] : ? [v29: $i] : (( % 77.53/11.04 | ~ (v27 = v24) & host(v23) = v27 & $i(v27)) | (index(down, v24) % 77.53/11.04 | = v29 & $i(v29) & ~ setIn(v25, v29)) | (queue(v25) = v28 & % 77.53/11.04 | $i(v28) & ~ elem(v26, v28)))) & ! [v20: $i] : ! [v21: $i] : % 77.53/11.04 | ! [v22: $i] : ! [v23: $i] : ! [v24: $i] : ! [v25: $i] : ! [v26: % 77.53/11.04 | $i] : ( ~ (m_Down(v22) = v24) | ~ (m_Down(v21) = v25) | ~ % 77.53/11.04 | (host(v23) = nbr_proc) | ~ (host(v20) = v26) | ~ $i(v23) | ~ % 77.53/11.04 | $i(v22) | ~ $i(v21) | ~ $i(v20) | ~ setIn(v20, alive) | ? [v27: % 77.53/11.05 | $i] : ? [v28: $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : % 77.53/11.05 | ? [v32: $i] : ($i(v32) & ((v29 = v18 & ~ elem(v24, v18)) | (v27 = % 77.53/11.05 | v15 & ~ (v32 = v28) & host(v22) = v28 & $i(v28) & leq(v0, % 77.53/11.05 | v32) & ~ leq(nbr_proc, v32) & ~ setIn(v32, v15)) | ( ~ % 77.53/11.05 | (v30 = nbr_proc) & host(v21) = v30 & $i(v30)) | (queue(v26) = % 77.53/11.05 | v31 & $i(v31) & ~ elem(v25, v31))))) & ! [v20: $i] : ! % 77.53/11.05 | [v21: $i] : ! [v22: $i] : ! [v23: $i] : ! [v24: $i] : ! [v25: $i] % 77.53/11.05 | : (v24 = v23 | ~ (m_Down(v20) = v25) | ~ (host(v22) = v23) | ~ % 77.53/11.05 | (host(v21) = v24) | ~ $i(v22) | ~ $i(v21) | ~ $i(v20) | ~ % 77.53/11.05 | setIn(v22, alive) | ? [v26: $i] : ? [v27: $i] : ? [v28: $i] : ? % 77.53/11.05 | [v29: $i] : ? [v30: $i] : (( ~ (v29 = v24) & index(elid, v23) = % 77.53/11.05 | v28 & host(v28) = v29 & $i(v29) & $i(v28)) | ( ~ (v27 = wait) & % 77.53/11.05 | index(status, v23) = v27 & $i(v27)) | ( ~ (v26 = v23) & % 77.53/11.05 | host(v20) = v26 & $i(v26)) | (queue(v24) = v30 & $i(v30) & ~ % 77.53/11.05 | elem(v25, v30)))) & ! [v20: $i] : ! [v21: $i] : ! [v22: $i] % 77.53/11.05 | : ! [v23: $i] : ! [v24: $i] : ! [v25: $i] : (v24 = v23 | ~ % 77.53/11.05 | (m_Down(v20) = v25) | ~ (host(v22) = v23) | ~ (host(v21) = v24) | % 77.53/11.05 | ~ $i(v22) | ~ $i(v21) | ~ $i(v20) | ~ setIn(v22, alive) | ? % 77.53/11.05 | [v26: $i] : ? [v27: $i] : ? [v28: $i] : ? [v29: $i] : (( ~ (v28 % 77.53/11.05 | = v24) & index(ldr, v23) = v28 & $i(v28)) | ( ~ (v27 = norm) % 77.53/11.05 | & index(status, v23) = v27 & $i(v27)) | ( ~ (v26 = v23) & % 77.53/11.05 | host(v20) = v26 & $i(v26)) | (queue(v24) = v29 & $i(v29) & ~ % 77.53/11.05 | elem(v25, v29)))) & ! [v20: $i] : ! [v21: $i] : ! [v22: $i] % 77.53/11.05 | : ! [v23: $i] : ( ~ (m_Ldr(v21) = v22) | ~ (host(v20) = v23) | ~ % 77.53/11.05 | $i(v21) | ~ $i(v20) | ? [v24: $i] : ? [v25: $i] : ((host(v21) = % 77.53/11.05 | v25 & $i(v25) & ~ leq(v23, v25)) | (queue(v23) = v24 & $i(v24) % 77.53/11.05 | & ~ elem(v22, v24)))) & ! [v20: $i] : ! [v21: $i] : ! [v22: % 77.53/11.05 | $i] : ! [v23: $i] : ( ~ (m_Down(v21) = v22) | ~ (host(v20) = v23) % 77.53/11.05 | | ~ $i(v21) | ~ $i(v20) | ? [v24: $i] : ? [v25: $i] : (( ~ (v25 % 77.53/11.05 | = v23) & host(v21) = v25 & $i(v25)) | (queue(v23) = v24 & % 77.53/11.05 | $i(v24) & ~ elem(v22, v24)))) & ! [v20: $i] : ! [v21: $i] : % 77.53/11.05 | ! [v22: $i] : (v21 = v20 | ~ (host(v21) = v22) | ~ (host(v20) = % 77.53/11.05 | v22) | ~ $i(v21) | ~ $i(v20) | ~ setIn(v21, alive) | ~ % 77.53/11.05 | setIn(v20, alive)) & ! [v20: $i] : ! [v21: $i] : ! [v22: $i] : ( % 77.53/11.05 | ~ (m_NotNorm(v20) = v22) | ~ (host(v21) = nbr_proc) | ~ $i(v21) | % 77.53/11.05 | ~ $i(v20) | ~ elem(v22, v18)) & ! [v20: $i] : ! [v21: $i] : ( ~ % 77.53/11.05 | (host(v20) = v21) | ~ $i(v20) | ~ setIn(v20, alive) | ? [v22: % 77.53/11.05 | $i] : ? [v23: $i] : ((v23 = v20 & index(elid, v21) = v20) | ( ~ % 77.53/11.05 | (v22 = elec_1) & ~ (v22 = elec_2) & index(status, v21) = v22 & % 77.53/11.05 | $i(v22)))) & ! [v20: $i] : (v20 = v16 | ~ $i(v20) | ~ % 77.53/11.05 | leq(v0, v20) | leq(nbr_proc, v20) | setIn(v20, v15))) % 77.53/11.05 | % 77.53/11.05 | ALPHA: (function-axioms) implies: % 77.98/11.05 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (queue(v2) = % 77.98/11.05 | v1) | ~ (queue(v2) = v0)) % 77.98/11.05 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (host(v2) = v1) % 77.98/11.05 | | ~ (host(v2) = v0)) % 77.98/11.05 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (s(v2) = v1) | % 77.98/11.05 | ~ (s(v2) = v0)) % 77.98/11.05 | % 77.98/11.05 | DELTA: instantiating (1) with fresh symbol all_50_0 gives: % 77.98/11.05 | (8) s(zero) = all_50_0 & $i(all_50_0) & leq(all_50_0, nbr_proc) % 77.98/11.05 | % 77.98/11.05 | ALPHA: (8) implies: % 77.98/11.05 | (9) s(zero) = all_50_0 % 77.98/11.05 | % 77.98/11.05 | DELTA: instantiating (4) with fresh symbols all_65_0, all_65_1, all_65_2, % 77.98/11.05 | all_65_3, all_65_4, all_65_5, all_65_6, all_65_7, all_65_8, all_65_9, % 77.98/11.05 | all_65_10, all_65_11, all_65_12, all_65_13, all_65_14, all_65_15, % 77.98/11.05 | all_65_16, all_65_17, all_65_18, all_65_19 gives: % 77.98/11.06 | (10) ~ (all_65_14 = nbr_proc) & index(pendack, all_65_14) = all_65_11 & % 77.98/11.06 | index(down, nbr_proc) = all_65_4 & index(elid, all_65_14) = all_65_17 % 77.98/11.06 | & index(status, all_65_14) = elec_2 & index(status, nbr_proc) = elec_1 % 77.98/11.06 | & snoc(all_65_18, all_65_10) = all_65_9 & cons(all_65_12, all_65_18) = % 77.98/11.06 | all_65_13 & m_Down(all_65_6) = all_65_2 & m_Down(all_65_7) = all_65_0 % 77.98/11.06 | & m_Halt(all_65_16) = all_65_10 & s(all_65_11) = all_65_14 & s(zero) = % 77.98/11.06 | all_65_19 & m_Ack(all_65_17, all_65_15) = all_65_12 & host(all_65_5) = % 77.98/11.06 | nbr_proc & host(all_65_6) = all_65_3 & host(all_65_7) = nbr_proc & % 77.98/11.06 | host(all_65_8) = all_65_14 & host(all_65_15) = all_65_11 & % 77.98/11.06 | host(all_65_16) = all_65_14 & queue(all_65_14) = all_65_13 & % 77.98/11.06 | queue(nbr_proc) = all_65_1 & $i(all_65_0) & $i(all_65_1) & % 77.98/11.06 | $i(all_65_2) & $i(all_65_3) & $i(all_65_4) & $i(all_65_5) & % 77.98/11.06 | $i(all_65_6) & $i(all_65_7) & $i(all_65_8) & $i(all_65_9) & % 77.98/11.06 | $i(all_65_10) & $i(all_65_11) & $i(all_65_12) & $i(all_65_13) & % 77.98/11.06 | $i(all_65_14) & $i(all_65_15) & $i(all_65_16) & $i(all_65_17) & % 77.98/11.06 | $i(all_65_18) & $i(all_65_19) & setIn(all_65_8, alive) & % 77.98/11.06 | setIn(all_65_16, alive) & elem(all_65_0, all_65_9) & elem(all_65_2, % 77.98/11.06 | all_65_1) & ~ leq(nbr_proc, all_65_11) & ! [v0: $i] : ! [v1: $i] % 77.98/11.06 | : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] % 77.98/11.06 | : ! [v7: $i] : (v5 = v4 | ~ (m_Down(v3) = v6) | ~ (m_Down(v1) = v7) % 77.98/11.06 | | ~ (host(v2) = v4) | ~ (host(v0) = v5) | ~ $i(v3) | ~ $i(v2) | % 77.98/11.06 | ~ $i(v1) | ~ $i(v0) | ~ setIn(v2, alive) | ~ setIn(v0, alive) | % 77.98/11.06 | ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : (( ~ (v9 = % 77.98/11.06 | v4) & host(v3) = v9 & $i(v9)) | ( ~ (v8 = v5) & host(v1) = v8 % 77.98/11.06 | & $i(v8)) | (queue(v5) = v10 & $i(v10) & ~ elem(v6, v10)) | % 77.98/11.06 | (queue(v4) = v11 & $i(v11) & ~ elem(v7, v11)))) & ! [v0: $i] : % 77.98/11.06 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : % 77.98/11.06 | ! [v6: $i] : (v5 = v4 | ~ (m_Down(v3) = v6) | ~ (host(v2) = v4) | ~ % 77.98/11.06 | (host(v1) = v5) | ~ (host(v0) = v5) | ~ $i(v3) | ~ $i(v2) | ~ % 77.98/11.06 | $i(v1) | ~ $i(v0) | ~ setIn(v2, alive) | ~ setIn(v0, alive) | ? % 77.98/11.06 | [v7: $i] : ? [v8: $i] : ? [v9: $i] : (( ~ (v7 = v4) & host(v3) = % 77.98/11.06 | v7 & $i(v7)) | (index(down, v4) = v9 & $i(v9) & ~ setIn(v5, % 77.98/11.06 | v9)) | (queue(v5) = v8 & $i(v8) & ~ elem(v6, v8)))) & ! [v0: % 77.98/11.06 | $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! % 77.98/11.06 | [v5: $i] : ! [v6: $i] : ( ~ (m_Down(v2) = v4) | ~ (m_Down(v1) = v5) % 77.98/11.06 | | ~ (host(v3) = nbr_proc) | ~ (host(v0) = v6) | ~ $i(v3) | ~ % 77.98/11.06 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v0, alive) | ? [v7: int] % 77.98/11.06 | : ? [v8: $i] : ? [v9: int] : ? [v10: $i] : ? [v11: $i] : ? % 77.98/11.06 | [v12: $i] : ($i(v12) & ((v9 = all_65_1 & ~ elem(v4, all_65_1)) | % 77.98/11.06 | (v7 = all_65_4 & ~ (v12 = v8) & host(v2) = v8 & $i(v8) & % 77.98/11.06 | leq(all_65_19, v12) & ~ leq(nbr_proc, v12) & ~ setIn(v12, % 77.98/11.06 | all_65_4)) | ( ~ (v10 = nbr_proc) & host(v1) = v10 & % 77.98/11.06 | $i(v10)) | (queue(v6) = v11 & $i(v11) & ~ elem(v5, v11))))) & % 77.98/11.06 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 77.98/11.06 | ! [v5: $i] : (v4 = v3 | ~ (m_Down(v0) = v5) | ~ (host(v2) = v3) | ~ % 77.98/11.06 | (host(v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v2, % 77.98/11.06 | alive) | ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 77.98/11.06 | ? [v10: $i] : (( ~ (v9 = v4) & index(elid, v3) = v8 & host(v8) = v9 % 77.98/11.06 | & $i(v9) & $i(v8)) | ( ~ (v7 = wait) & index(status, v3) = v7 & % 77.98/11.06 | $i(v7)) | ( ~ (v6 = v3) & host(v0) = v6 & $i(v6)) | (queue(v4) = % 77.98/11.06 | v10 & $i(v10) & ~ elem(v5, v10)))) & ! [v0: $i] : ! [v1: $i] % 77.98/11.06 | : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v4 = v3 | % 77.98/11.06 | ~ (m_Down(v0) = v5) | ~ (host(v2) = v3) | ~ (host(v1) = v4) | ~ % 77.98/11.06 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v2, alive) | ? [v6: $i] : % 77.98/11.06 | ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : (( ~ (v8 = v4) & % 77.98/11.06 | index(ldr, v3) = v8 & $i(v8)) | ( ~ (v7 = norm) & index(status, % 77.98/11.06 | v3) = v7 & $i(v7)) | ( ~ (v6 = v3) & host(v0) = v6 & $i(v6)) | % 77.98/11.06 | (queue(v4) = v9 & $i(v9) & ~ elem(v5, v9)))) & ! [v0: $i] : ! % 77.98/11.06 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (m_Ldr(v1) = v2) | ~ % 77.98/11.06 | (host(v0) = v3) | ~ $i(v1) | ~ $i(v0) | ? [v4: $i] : ? [v5: $i] % 77.98/11.06 | : ((host(v1) = v5 & $i(v5) & ~ leq(v3, v5)) | (queue(v3) = v4 & % 77.98/11.06 | $i(v4) & ~ elem(v2, v4)))) & ! [v0: $i] : ! [v1: $i] : ! % 77.98/11.06 | [v2: $i] : ! [v3: $i] : ( ~ (m_Down(v1) = v2) | ~ (host(v0) = v3) | % 77.98/11.06 | ~ $i(v1) | ~ $i(v0) | ? [v4: $i] : ? [v5: $i] : (( ~ (v5 = v3) & % 77.98/11.06 | host(v1) = v5 & $i(v5)) | (queue(v3) = v4 & $i(v4) & ~ elem(v2, % 77.98/11.06 | v4)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | % 77.98/11.06 | ~ (host(v1) = v2) | ~ (host(v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~ % 77.98/11.06 | setIn(v1, alive) | ~ setIn(v0, alive)) & ! [v0: $i] : ! [v1: $i] % 77.98/11.06 | : ! [v2: $i] : ( ~ (m_NotNorm(v0) = v2) | ~ (host(v1) = nbr_proc) | % 77.98/11.06 | ~ $i(v1) | ~ $i(v0) | ~ elem(v2, all_65_1)) & ! [v0: $i] : ! % 77.98/11.06 | [v1: $i] : ( ~ (host(v0) = v1) | ~ $i(v0) | ~ setIn(v0, alive) | ? % 77.98/11.06 | [v2: $i] : ? [v3: $i] : ((v3 = v0 & index(elid, v1) = v0) | ( ~ (v2 % 77.98/11.06 | = elec_1) & ~ (v2 = elec_2) & index(status, v1) = v2 & % 77.98/11.06 | $i(v2)))) & ! [v0: any] : (v0 = all_65_3 | ~ $i(v0) | ~ % 77.98/11.06 | leq(all_65_19, v0) | leq(nbr_proc, v0) | setIn(v0, all_65_4)) % 77.98/11.06 | % 77.98/11.06 | ALPHA: (10) implies: % 77.98/11.06 | (11) elem(all_65_2, all_65_1) % 77.98/11.06 | (12) elem(all_65_0, all_65_9) % 77.98/11.06 | (13) setIn(all_65_16, alive) % 77.98/11.06 | (14) $i(all_65_18) % 77.98/11.06 | (15) $i(all_65_16) % 77.98/11.06 | (16) $i(all_65_15) % 77.98/11.06 | (17) $i(all_65_12) % 77.98/11.06 | (18) $i(all_65_10) % 77.98/11.06 | (19) $i(all_65_7) % 77.98/11.06 | (20) $i(all_65_6) % 77.98/11.06 | (21) $i(all_65_0) % 77.98/11.06 | (22) queue(nbr_proc) = all_65_1 % 77.98/11.06 | (23) queue(all_65_14) = all_65_13 % 77.98/11.06 | (24) host(all_65_16) = all_65_14 % 77.98/11.06 | (25) host(all_65_15) = all_65_11 % 77.98/11.06 | (26) host(all_65_7) = nbr_proc % 77.98/11.06 | (27) host(all_65_6) = all_65_3 % 77.98/11.06 | (28) s(zero) = all_65_19 % 77.98/11.06 | (29) s(all_65_11) = all_65_14 % 77.98/11.06 | (30) m_Halt(all_65_16) = all_65_10 % 77.98/11.06 | (31) m_Down(all_65_7) = all_65_0 % 77.98/11.06 | (32) m_Down(all_65_6) = all_65_2 % 77.98/11.06 | (33) cons(all_65_12, all_65_18) = all_65_13 % 77.98/11.06 | (34) snoc(all_65_18, all_65_10) = all_65_9 % 77.98/11.06 | (35) ! [v0: any] : (v0 = all_65_3 | ~ $i(v0) | ~ leq(all_65_19, v0) | % 77.98/11.06 | leq(nbr_proc, v0) | setIn(v0, all_65_4)) % 77.98/11.07 | (36) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 77.98/11.07 | (m_Down(v1) = v2) | ~ (host(v0) = v3) | ~ $i(v1) | ~ $i(v0) | ? % 77.98/11.07 | [v4: $i] : ? [v5: $i] : (( ~ (v5 = v3) & host(v1) = v5 & $i(v5)) | % 77.98/11.07 | (queue(v3) = v4 & $i(v4) & ~ elem(v2, v4)))) % 77.98/11.07 | (37) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 77.98/11.07 | ! [v5: $i] : (v4 = v3 | ~ (m_Down(v0) = v5) | ~ (host(v2) = v3) | ~ % 77.98/11.07 | (host(v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v2, % 77.98/11.07 | alive) | ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 77.98/11.07 | ? [v10: $i] : (( ~ (v9 = v4) & index(elid, v3) = v8 & host(v8) = v9 % 77.98/11.07 | & $i(v9) & $i(v8)) | ( ~ (v7 = wait) & index(status, v3) = v7 & % 77.98/11.07 | $i(v7)) | ( ~ (v6 = v3) & host(v0) = v6 & $i(v6)) | (queue(v4) = % 77.98/11.07 | v10 & $i(v10) & ~ elem(v5, v10)))) % 77.98/11.07 | (38) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 77.98/11.07 | ! [v5: $i] : ! [v6: $i] : ( ~ (m_Down(v2) = v4) | ~ (m_Down(v1) = % 77.98/11.07 | v5) | ~ (host(v3) = nbr_proc) | ~ (host(v0) = v6) | ~ $i(v3) | % 77.98/11.07 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v0, alive) | ? [v7: % 77.98/11.07 | int] : ? [v8: $i] : ? [v9: int] : ? [v10: $i] : ? [v11: $i] : % 77.98/11.07 | ? [v12: $i] : ($i(v12) & ((v9 = all_65_1 & ~ elem(v4, all_65_1)) | % 77.98/11.07 | (v7 = all_65_4 & ~ (v12 = v8) & host(v2) = v8 & $i(v8) & % 77.98/11.07 | leq(all_65_19, v12) & ~ leq(nbr_proc, v12) & ~ setIn(v12, % 77.98/11.07 | all_65_4)) | ( ~ (v10 = nbr_proc) & host(v1) = v10 & % 77.98/11.07 | $i(v10)) | (queue(v6) = v11 & $i(v11) & ~ elem(v5, v11))))) % 77.98/11.07 | % 77.98/11.07 | GROUND_INST: instantiating (7) with all_50_0, all_65_19, zero, simplifying % 77.98/11.07 | with (9), (28) gives: % 77.98/11.07 | (39) all_65_19 = all_50_0 % 77.98/11.07 | % 77.98/11.07 | GROUND_INST: instantiating (axiom_01) with all_65_15, all_65_15, all_65_11, % 77.98/11.07 | simplifying with (16), (25) gives: % 77.98/11.07 | (40) ? [v0: any] : ( ~ (v0 = all_65_11) & s(all_65_11) = v0 & $i(v0)) % 77.98/11.07 | % 77.98/11.07 | GROUND_INST: instantiating (36) with all_65_7, all_65_7, all_65_0, nbr_proc, % 77.98/11.07 | simplifying with (19), (26), (31) gives: % 77.98/11.07 | (41) ? [v0: $i] : ? [v1: $i] : (( ~ (v1 = nbr_proc) & host(all_65_7) = v1 % 77.98/11.07 | & $i(v1)) | (queue(nbr_proc) = v0 & $i(v0) & ~ elem(all_65_0, % 77.98/11.07 | v0))) % 77.98/11.07 | % 77.98/11.07 | GROUND_INST: instantiating (37) with all_65_7, all_65_15, all_65_16, % 77.98/11.07 | all_65_14, all_65_11, all_65_0, simplifying with (13), (15), % 77.98/11.07 | (16), (19), (24), (25), (31) gives: % 77.98/11.07 | (42) all_65_11 = all_65_14 | ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? % 77.98/11.07 | [v3: any] : ? [v4: $i] : (( ~ (v3 = all_65_11) & index(elid, % 77.98/11.07 | all_65_14) = v2 & host(v2) = v3 & $i(v3) & $i(v2)) | ( ~ (v1 = % 77.98/11.07 | wait) & index(status, all_65_14) = v1 & $i(v1)) | ( ~ (v0 = % 77.98/11.07 | all_65_14) & host(all_65_7) = v0 & $i(v0)) | (queue(all_65_11) = % 77.98/11.07 | v4 & $i(v4) & ~ elem(all_65_0, v4))) % 77.98/11.07 | % 77.98/11.07 | GROUND_INST: instantiating (axiom_17) with all_65_7, all_65_16, all_65_10, % 77.98/11.07 | simplifying with (15), (19), (30) gives: % 77.98/11.07 | (43) ~ (m_Down(all_65_7) = all_65_10) % 77.98/11.07 | % 77.98/11.07 | GROUND_INST: instantiating (38) with all_65_16, all_65_7, all_65_6, all_65_7, % 77.98/11.07 | all_65_2, all_65_0, all_65_14, simplifying with (13), (15), (19), % 77.98/11.07 | (20), (24), (26), (31), (32) gives: % 77.98/11.07 | (44) ? [v0: int] : ? [v1: $i] : ? [v2: int] : ? [v3: $i] : ? [v4: $i] % 77.98/11.07 | : ? [v5: $i] : ($i(v5) & ((v2 = all_65_1 & ~ elem(all_65_2, % 77.98/11.07 | all_65_1)) | (v0 = all_65_4 & ~ (v5 = v1) & host(all_65_6) = % 77.98/11.07 | v1 & $i(v1) & leq(all_65_19, v5) & ~ leq(nbr_proc, v5) & ~ % 77.98/11.07 | setIn(v5, all_65_4)) | ( ~ (v3 = nbr_proc) & host(all_65_7) = v3 % 77.98/11.07 | & $i(v3)) | (queue(all_65_14) = v4 & $i(v4) & ~ elem(all_65_0, % 77.98/11.07 | v4)))) % 77.98/11.07 | % 77.98/11.07 | GROUND_INST: instantiating (36) with all_65_6, all_65_6, all_65_2, all_65_3, % 77.98/11.07 | simplifying with (20), (27), (32) gives: % 77.98/11.07 | (45) ? [v0: $i] : ? [v1: any] : (( ~ (v1 = all_65_3) & host(all_65_6) = % 77.98/11.07 | v1 & $i(v1)) | (queue(all_65_3) = v0 & $i(v0) & ~ elem(all_65_2, % 77.98/11.07 | v0))) % 77.98/11.07 | % 77.98/11.07 | GROUND_INST: instantiating (36) with all_65_7, all_65_6, all_65_2, nbr_proc, % 77.98/11.07 | simplifying with (19), (20), (26), (32) gives: % 77.98/11.07 | (46) ? [v0: $i] : ? [v1: $i] : (( ~ (v1 = nbr_proc) & host(all_65_6) = v1 % 77.98/11.07 | & $i(v1)) | (queue(nbr_proc) = v0 & $i(v0) & ~ elem(all_65_2, % 77.98/11.07 | v0))) % 77.98/11.07 | % 77.98/11.08 | GROUND_INST: instantiating (2) with all_65_0, all_65_12, all_65_18, all_65_13, % 77.98/11.08 | simplifying with (14), (17), (21), (33) gives: % 77.98/11.08 | (47) ~ elem(all_65_0, all_65_18) | elem(all_65_0, all_65_13) % 77.98/11.08 | % 77.98/11.08 | GROUND_INST: instantiating (3) with all_65_0, all_65_10, all_65_18, all_65_9, % 77.98/11.08 | simplifying with (12), (14), (18), (21), (34) gives: % 77.98/11.08 | (48) all_65_0 = all_65_10 | elem(all_65_0, all_65_18) % 77.98/11.08 | % 77.98/11.08 | DELTA: instantiating (40) with fresh symbol all_84_0 gives: % 77.98/11.08 | (49) ~ (all_84_0 = all_65_11) & s(all_65_11) = all_84_0 & $i(all_84_0) % 77.98/11.08 | % 77.98/11.08 | ALPHA: (49) implies: % 77.98/11.08 | (50) ~ (all_84_0 = all_65_11) % 77.98/11.08 | (51) s(all_65_11) = all_84_0 % 77.98/11.08 | % 77.98/11.08 | DELTA: instantiating (46) with fresh symbols all_88_0, all_88_1 gives: % 77.98/11.08 | (52) ( ~ (all_88_0 = nbr_proc) & host(all_65_6) = all_88_0 & $i(all_88_0)) % 77.98/11.08 | | (queue(nbr_proc) = all_88_1 & $i(all_88_1) & ~ elem(all_65_2, % 77.98/11.08 | all_88_1)) % 77.98/11.08 | % 77.98/11.08 | DELTA: instantiating (45) with fresh symbols all_93_0, all_93_1 gives: % 77.98/11.08 | (53) ( ~ (all_93_0 = all_65_3) & host(all_65_6) = all_93_0 & $i(all_93_0)) % 77.98/11.08 | | (queue(all_65_3) = all_93_1 & $i(all_93_1) & ~ elem(all_65_2, % 77.98/11.08 | all_93_1)) % 77.98/11.08 | % 77.98/11.08 | DELTA: instantiating (41) with fresh symbols all_94_0, all_94_1 gives: % 77.98/11.08 | (54) ( ~ (all_94_0 = nbr_proc) & host(all_65_7) = all_94_0 & $i(all_94_0)) % 77.98/11.08 | | (queue(nbr_proc) = all_94_1 & $i(all_94_1) & ~ elem(all_65_0, % 77.98/11.08 | all_94_1)) % 77.98/11.08 | % 77.98/11.08 | DELTA: instantiating (44) with fresh symbols all_102_0, all_102_1, all_102_2, % 77.98/11.08 | all_102_3, all_102_4, all_102_5 gives: % 77.98/11.08 | (55) $i(all_102_0) & ((all_102_3 = all_65_1 & ~ elem(all_65_2, all_65_1)) % 77.98/11.08 | | (all_102_5 = all_65_4 & ~ (all_102_0 = all_102_4) & % 77.98/11.08 | host(all_65_6) = all_102_4 & $i(all_102_4) & leq(all_65_19, % 77.98/11.08 | all_102_0) & ~ leq(nbr_proc, all_102_0) & ~ setIn(all_102_0, % 77.98/11.08 | all_65_4)) | ( ~ (all_102_2 = nbr_proc) & host(all_65_7) = % 77.98/11.08 | all_102_2 & $i(all_102_2)) | (queue(all_65_14) = all_102_1 & % 77.98/11.08 | $i(all_102_1) & ~ elem(all_65_0, all_102_1))) % 77.98/11.08 | % 77.98/11.08 | ALPHA: (55) implies: % 77.98/11.08 | (56) $i(all_102_0) % 77.98/11.08 | (57) (all_102_3 = all_65_1 & ~ elem(all_65_2, all_65_1)) | (all_102_5 = % 77.98/11.08 | all_65_4 & ~ (all_102_0 = all_102_4) & host(all_65_6) = all_102_4 & % 77.98/11.08 | $i(all_102_4) & leq(all_65_19, all_102_0) & ~ leq(nbr_proc, % 77.98/11.08 | all_102_0) & ~ setIn(all_102_0, all_65_4)) | ( ~ (all_102_2 = % 77.98/11.08 | nbr_proc) & host(all_65_7) = all_102_2 & $i(all_102_2)) | % 77.98/11.08 | (queue(all_65_14) = all_102_1 & $i(all_102_1) & ~ elem(all_65_0, % 77.98/11.08 | all_102_1)) % 77.98/11.08 | % 77.98/11.08 | BETA: splitting (54) gives: % 77.98/11.08 | % 77.98/11.08 | Case 1: % 77.98/11.08 | | % 77.98/11.08 | | (58) ~ (all_94_0 = nbr_proc) & host(all_65_7) = all_94_0 & $i(all_94_0) % 77.98/11.08 | | % 77.98/11.08 | | ALPHA: (58) implies: % 77.98/11.08 | | (59) ~ (all_94_0 = nbr_proc) % 77.98/11.08 | | (60) host(all_65_7) = all_94_0 % 77.98/11.08 | | % 77.98/11.08 | | GROUND_INST: instantiating (6) with nbr_proc, all_94_0, all_65_7, % 77.98/11.08 | | simplifying with (26), (60) gives: % 77.98/11.08 | | (61) all_94_0 = nbr_proc % 77.98/11.08 | | % 77.98/11.08 | | REDUCE: (59), (61) imply: % 77.98/11.08 | | (62) $false % 77.98/11.08 | | % 77.98/11.08 | | CLOSE: (62) is inconsistent. % 77.98/11.08 | | % 77.98/11.08 | Case 2: % 77.98/11.08 | | % 77.98/11.08 | | (63) queue(nbr_proc) = all_94_1 & $i(all_94_1) & ~ elem(all_65_0, % 77.98/11.08 | | all_94_1) % 77.98/11.08 | | % 77.98/11.08 | | ALPHA: (63) implies: % 77.98/11.08 | | (64) queue(nbr_proc) = all_94_1 % 77.98/11.08 | | % 77.98/11.08 | | BETA: splitting (53) gives: % 77.98/11.08 | | % 77.98/11.08 | | Case 1: % 77.98/11.08 | | | % 77.98/11.08 | | | (65) ~ (all_93_0 = all_65_3) & host(all_65_6) = all_93_0 & % 77.98/11.08 | | | $i(all_93_0) % 77.98/11.08 | | | % 77.98/11.08 | | | ALPHA: (65) implies: % 77.98/11.08 | | | (66) ~ (all_93_0 = all_65_3) % 77.98/11.08 | | | (67) host(all_65_6) = all_93_0 % 77.98/11.08 | | | % 77.98/11.08 | | | GROUND_INST: instantiating (6) with all_65_3, all_93_0, all_65_6, % 77.98/11.08 | | | simplifying with (27), (67) gives: % 77.98/11.08 | | | (68) all_93_0 = all_65_3 % 77.98/11.08 | | | % 77.98/11.08 | | | REDUCE: (66), (68) imply: % 77.98/11.08 | | | (69) $false % 77.98/11.08 | | | % 77.98/11.08 | | | CLOSE: (69) is inconsistent. % 77.98/11.08 | | | % 77.98/11.08 | | Case 2: % 77.98/11.08 | | | % 77.98/11.08 | | | % 77.98/11.08 | | | GROUND_INST: instantiating (5) with all_65_1, all_94_1, nbr_proc, % 77.98/11.08 | | | simplifying with (22), (64) gives: % 77.98/11.08 | | | (70) all_94_1 = all_65_1 % 77.98/11.08 | | | % 77.98/11.08 | | | GROUND_INST: instantiating (7) with all_65_14, all_84_0, all_65_11, % 77.98/11.08 | | | simplifying with (29), (51) gives: % 77.98/11.08 | | | (71) all_84_0 = all_65_14 % 77.98/11.08 | | | % 77.98/11.08 | | | PRED_UNIFY: (31), (43) imply: % 77.98/11.08 | | | (72) ~ (all_65_0 = all_65_10) % 77.98/11.08 | | | % 77.98/11.08 | | | REDUCE: (50), (71) imply: % 77.98/11.08 | | | (73) ~ (all_65_11 = all_65_14) % 77.98/11.08 | | | % 77.98/11.08 | | | SIMP: (73) implies: % 77.98/11.08 | | | (74) ~ (all_65_11 = all_65_14) % 77.98/11.08 | | | % 77.98/11.08 | | | BETA: splitting (52) gives: % 77.98/11.08 | | | % 77.98/11.08 | | | Case 1: % 77.98/11.08 | | | | % 77.98/11.08 | | | | (75) ~ (all_88_0 = nbr_proc) & host(all_65_6) = all_88_0 & % 77.98/11.08 | | | | $i(all_88_0) % 77.98/11.08 | | | | % 77.98/11.08 | | | | ALPHA: (75) implies: % 77.98/11.08 | | | | (76) host(all_65_6) = all_88_0 % 77.98/11.08 | | | | % 77.98/11.08 | | | | BETA: splitting (48) gives: % 77.98/11.08 | | | | % 77.98/11.08 | | | | Case 1: % 77.98/11.08 | | | | | % 77.98/11.08 | | | | | (77) elem(all_65_0, all_65_18) % 77.98/11.08 | | | | | % 77.98/11.08 | | | | | BETA: splitting (47) gives: % 77.98/11.08 | | | | | % 77.98/11.08 | | | | | Case 1: % 77.98/11.08 | | | | | | % 77.98/11.08 | | | | | | (78) ~ elem(all_65_0, all_65_18) % 77.98/11.08 | | | | | | % 77.98/11.08 | | | | | | PRED_UNIFY: (77), (78) imply: % 77.98/11.08 | | | | | | (79) $false % 77.98/11.08 | | | | | | % 77.98/11.08 | | | | | | CLOSE: (79) is inconsistent. % 77.98/11.08 | | | | | | % 77.98/11.08 | | | | | Case 2: % 77.98/11.08 | | | | | | % 77.98/11.08 | | | | | | (80) elem(all_65_0, all_65_13) % 77.98/11.08 | | | | | | % 77.98/11.08 | | | | | | BETA: splitting (57) gives: % 77.98/11.08 | | | | | | % 77.98/11.08 | | | | | | Case 1: % 77.98/11.08 | | | | | | | % 77.98/11.08 | | | | | | | (81) (all_102_3 = all_65_1 & ~ elem(all_65_2, all_65_1)) | % 77.98/11.08 | | | | | | | (all_102_5 = all_65_4 & ~ (all_102_0 = all_102_4) & % 77.98/11.08 | | | | | | | host(all_65_6) = all_102_4 & $i(all_102_4) & % 77.98/11.08 | | | | | | | leq(all_65_19, all_102_0) & ~ leq(nbr_proc, all_102_0) % 77.98/11.08 | | | | | | | & ~ setIn(all_102_0, all_65_4)) % 77.98/11.08 | | | | | | | % 77.98/11.08 | | | | | | | BETA: splitting (81) gives: % 77.98/11.08 | | | | | | | % 77.98/11.08 | | | | | | | Case 1: % 77.98/11.08 | | | | | | | | % 77.98/11.08 | | | | | | | | (82) all_102_3 = all_65_1 & ~ elem(all_65_2, all_65_1) % 77.98/11.08 | | | | | | | | % 77.98/11.08 | | | | | | | | ALPHA: (82) implies: % 77.98/11.08 | | | | | | | | (83) ~ elem(all_65_2, all_65_1) % 77.98/11.08 | | | | | | | | % 77.98/11.08 | | | | | | | | PRED_UNIFY: (11), (83) imply: % 77.98/11.08 | | | | | | | | (84) $false % 77.98/11.08 | | | | | | | | % 77.98/11.08 | | | | | | | | CLOSE: (84) is inconsistent. % 77.98/11.08 | | | | | | | | % 77.98/11.08 | | | | | | | Case 2: % 77.98/11.08 | | | | | | | | % 77.98/11.08 | | | | | | | | (85) all_102_5 = all_65_4 & ~ (all_102_0 = all_102_4) & % 77.98/11.08 | | | | | | | | host(all_65_6) = all_102_4 & $i(all_102_4) & % 77.98/11.08 | | | | | | | | leq(all_65_19, all_102_0) & ~ leq(nbr_proc, all_102_0) % 77.98/11.08 | | | | | | | | & ~ setIn(all_102_0, all_65_4) % 77.98/11.08 | | | | | | | | % 77.98/11.08 | | | | | | | | ALPHA: (85) implies: % 77.98/11.09 | | | | | | | | (86) ~ (all_102_0 = all_102_4) % 77.98/11.09 | | | | | | | | (87) ~ setIn(all_102_0, all_65_4) % 77.98/11.09 | | | | | | | | (88) ~ leq(nbr_proc, all_102_0) % 77.98/11.09 | | | | | | | | (89) leq(all_65_19, all_102_0) % 77.98/11.09 | | | | | | | | (90) host(all_65_6) = all_102_4 % 77.98/11.09 | | | | | | | | % 77.98/11.09 | | | | | | | | REDUCE: (39), (89) imply: % 77.98/11.09 | | | | | | | | (91) leq(all_50_0, all_102_0) % 77.98/11.09 | | | | | | | | % 77.98/11.09 | | | | | | | | BETA: splitting (42) gives: % 77.98/11.09 | | | | | | | | % 77.98/11.09 | | | | | | | | Case 1: % 77.98/11.09 | | | | | | | | | % 77.98/11.09 | | | | | | | | | (92) all_65_11 = all_65_14 % 77.98/11.09 | | | | | | | | | % 77.98/11.09 | | | | | | | | | REDUCE: (74), (92) imply: % 77.98/11.09 | | | | | | | | | (93) $false % 77.98/11.09 | | | | | | | | | % 77.98/11.09 | | | | | | | | | CLOSE: (93) is inconsistent. % 77.98/11.09 | | | | | | | | | % 77.98/11.09 | | | | | | | | Case 2: % 77.98/11.09 | | | | | | | | | % 77.98/11.09 | | | | | | | | | % 77.98/11.09 | | | | | | | | | GROUND_INST: instantiating (6) with all_65_3, all_102_4, % 77.98/11.09 | | | | | | | | | all_65_6, simplifying with (27), (90) gives: % 77.98/11.09 | | | | | | | | | (94) all_102_4 = all_65_3 % 77.98/11.09 | | | | | | | | | % 77.98/11.09 | | | | | | | | | GROUND_INST: instantiating (6) with all_88_0, all_102_4, % 77.98/11.09 | | | | | | | | | all_65_6, simplifying with (76), (90) gives: % 77.98/11.09 | | | | | | | | | (95) all_102_4 = all_88_0 % 77.98/11.09 | | | | | | | | | % 77.98/11.09 | | | | | | | | | COMBINE_EQS: (94), (95) imply: % 77.98/11.09 | | | | | | | | | (96) all_88_0 = all_65_3 % 77.98/11.09 | | | | | | | | | % 77.98/11.09 | | | | | | | | | REDUCE: (86), (94) imply: % 77.98/11.09 | | | | | | | | | (97) ~ (all_102_0 = all_65_3) % 77.98/11.09 | | | | | | | | | % 77.98/11.09 | | | | | | | | | GROUND_INST: instantiating (35) with all_102_0, simplifying % 77.98/11.09 | | | | | | | | | with (56), (87), (88) gives: % 77.98/11.09 | | | | | | | | | (98) all_102_0 = all_65_3 | ~ leq(all_65_19, all_102_0) % 77.98/11.09 | | | | | | | | | % 77.98/11.09 | | | | | | | | | BETA: splitting (98) gives: % 77.98/11.09 | | | | | | | | | % 77.98/11.09 | | | | | | | | | Case 1: % 77.98/11.09 | | | | | | | | | | % 77.98/11.09 | | | | | | | | | | (99) ~ leq(all_65_19, all_102_0) % 77.98/11.09 | | | | | | | | | | % 77.98/11.09 | | | | | | | | | | REDUCE: (39), (99) imply: % 77.98/11.09 | | | | | | | | | | (100) ~ leq(all_50_0, all_102_0) % 77.98/11.09 | | | | | | | | | | % 77.98/11.09 | | | | | | | | | | PRED_UNIFY: (91), (100) imply: % 77.98/11.09 | | | | | | | | | | (101) $false % 77.98/11.09 | | | | | | | | | | % 77.98/11.09 | | | | | | | | | | CLOSE: (101) is inconsistent. % 77.98/11.09 | | | | | | | | | | % 77.98/11.09 | | | | | | | | | Case 2: % 77.98/11.09 | | | | | | | | | | % 77.98/11.09 | | | | | | | | | | (102) all_102_0 = all_65_3 % 77.98/11.09 | | | | | | | | | | % 77.98/11.09 | | | | | | | | | | REDUCE: (97), (102) imply: % 77.98/11.09 | | | | | | | | | | (103) $false % 77.98/11.09 | | | | | | | | | | % 77.98/11.09 | | | | | | | | | | CLOSE: (103) is inconsistent. % 77.98/11.09 | | | | | | | | | | % 77.98/11.09 | | | | | | | | | End of split % 77.98/11.09 | | | | | | | | | % 77.98/11.09 | | | | | | | | End of split % 77.98/11.09 | | | | | | | | % 77.98/11.09 | | | | | | | End of split % 77.98/11.09 | | | | | | | % 77.98/11.09 | | | | | | Case 2: % 77.98/11.09 | | | | | | | % 77.98/11.09 | | | | | | | (104) ( ~ (all_102_2 = nbr_proc) & host(all_65_7) = all_102_2 & % 77.98/11.09 | | | | | | | $i(all_102_2)) | (queue(all_65_14) = all_102_1 & % 77.98/11.09 | | | | | | | $i(all_102_1) & ~ elem(all_65_0, all_102_1)) % 77.98/11.09 | | | | | | | % 77.98/11.09 | | | | | | | BETA: splitting (104) gives: % 77.98/11.09 | | | | | | | % 77.98/11.09 | | | | | | | Case 1: % 77.98/11.09 | | | | | | | | % 77.98/11.09 | | | | | | | | (105) ~ (all_102_2 = nbr_proc) & host(all_65_7) = all_102_2 % 77.98/11.09 | | | | | | | | & $i(all_102_2) % 77.98/11.09 | | | | | | | | % 77.98/11.09 | | | | | | | | ALPHA: (105) implies: % 77.98/11.09 | | | | | | | | (106) ~ (all_102_2 = nbr_proc) % 77.98/11.09 | | | | | | | | (107) host(all_65_7) = all_102_2 % 77.98/11.09 | | | | | | | | % 77.98/11.09 | | | | | | | | GROUND_INST: instantiating (6) with nbr_proc, all_102_2, % 77.98/11.09 | | | | | | | | all_65_7, simplifying with (26), (107) gives: % 77.98/11.09 | | | | | | | | (108) all_102_2 = nbr_proc % 77.98/11.09 | | | | | | | | % 77.98/11.09 | | | | | | | | REDUCE: (106), (108) imply: % 77.98/11.09 | | | | | | | | (109) $false % 77.98/11.09 | | | | | | | | % 77.98/11.09 | | | | | | | | CLOSE: (109) is inconsistent. % 77.98/11.09 | | | | | | | | % 77.98/11.09 | | | | | | | Case 2: % 77.98/11.09 | | | | | | | | % 77.98/11.09 | | | | | | | | (110) queue(all_65_14) = all_102_1 & $i(all_102_1) & ~ % 77.98/11.09 | | | | | | | | elem(all_65_0, all_102_1) % 77.98/11.09 | | | | | | | | % 77.98/11.09 | | | | | | | | ALPHA: (110) implies: % 77.98/11.09 | | | | | | | | (111) ~ elem(all_65_0, all_102_1) % 77.98/11.09 | | | | | | | | (112) queue(all_65_14) = all_102_1 % 77.98/11.09 | | | | | | | | % 77.98/11.09 | | | | | | | | GROUND_INST: instantiating (5) with all_65_13, all_102_1, % 77.98/11.09 | | | | | | | | all_65_14, simplifying with (23), (112) gives: % 77.98/11.09 | | | | | | | | (113) all_102_1 = all_65_13 % 77.98/11.09 | | | | | | | | % 77.98/11.09 | | | | | | | | PRED_UNIFY: (80), (111) imply: % 77.98/11.09 | | | | | | | | (114) ~ (all_102_1 = all_65_13) % 77.98/11.09 | | | | | | | | % 77.98/11.09 | | | | | | | | REDUCE: (113), (114) imply: % 77.98/11.09 | | | | | | | | (115) $false % 77.98/11.09 | | | | | | | | % 77.98/11.09 | | | | | | | | CLOSE: (115) is inconsistent. % 77.98/11.09 | | | | | | | | % 77.98/11.09 | | | | | | | End of split % 77.98/11.09 | | | | | | | % 77.98/11.09 | | | | | | End of split % 77.98/11.09 | | | | | | % 77.98/11.09 | | | | | End of split % 77.98/11.09 | | | | | % 77.98/11.09 | | | | Case 2: % 77.98/11.09 | | | | | % 77.98/11.09 | | | | | (116) all_65_0 = all_65_10 % 77.98/11.09 | | | | | % 77.98/11.09 | | | | | REDUCE: (72), (116) imply: % 77.98/11.09 | | | | | (117) $false % 77.98/11.09 | | | | | % 77.98/11.09 | | | | | CLOSE: (117) is inconsistent. % 77.98/11.09 | | | | | % 77.98/11.09 | | | | End of split % 77.98/11.09 | | | | % 77.98/11.09 | | | Case 2: % 77.98/11.09 | | | | % 77.98/11.09 | | | | (118) queue(nbr_proc) = all_88_1 & $i(all_88_1) & ~ elem(all_65_2, % 77.98/11.09 | | | | all_88_1) % 77.98/11.09 | | | | % 77.98/11.09 | | | | ALPHA: (118) implies: % 77.98/11.09 | | | | (119) ~ elem(all_65_2, all_88_1) % 77.98/11.09 | | | | (120) queue(nbr_proc) = all_88_1 % 77.98/11.09 | | | | % 77.98/11.09 | | | | GROUND_INST: instantiating (5) with all_65_1, all_88_1, nbr_proc, % 77.98/11.09 | | | | simplifying with (22), (120) gives: % 77.98/11.09 | | | | (121) all_88_1 = all_65_1 % 77.98/11.09 | | | | % 77.98/11.09 | | | | PRED_UNIFY: (11), (119) imply: % 77.98/11.09 | | | | (122) ~ (all_88_1 = all_65_1) % 77.98/11.09 | | | | % 77.98/11.09 | | | | REDUCE: (121), (122) imply: % 77.98/11.09 | | | | (123) $false % 77.98/11.09 | | | | % 77.98/11.09 | | | | CLOSE: (123) is inconsistent. % 77.98/11.09 | | | | % 77.98/11.09 | | | End of split % 77.98/11.09 | | | % 77.98/11.09 | | End of split % 77.98/11.09 | | % 77.98/11.09 | End of split % 77.98/11.09 | % 77.98/11.09 End of proof % 77.98/11.09 % SZS output end Proof for theBenchmark % 77.98/11.09 % 77.98/11.09 10506ms %------------------------------------------------------------------------------