%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SWV471+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 : n026.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 22:56:37 EDT 2023 % Result : Theorem 43.68s 6.63s % Output : Proof 63.67s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV471+1 : TPTP v8.1.2. Released v4.0.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.12/0.34 % Computer : n026.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Tue Aug 29 08:53:05 EDT 2023 % 0.12/0.34 % CPUTime : % 0.19/0.61 ________ _____ % 0.19/0.61 ___ __ \_________(_)________________________________ % 0.19/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.19/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.19/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.19/0.61 % 0.19/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.19/0.61 (2023-06-19) % 0.19/0.61 % 0.19/0.61 (c) Philipp Rümmer, 2009-2023 % 0.19/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.19/0.61 Amanda Stjerna. % 0.19/0.61 Free software under BSD-3-Clause. % 0.19/0.61 % 0.19/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.19/0.61 % 0.19/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.19/0.62 Running up to 7 provers in parallel. % 0.19/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.19/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.19/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.19/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.19/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.19/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.19/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.85/1.29 Prover 1: Preprocessing ... % 4.30/1.31 Prover 4: Preprocessing ... % 4.30/1.32 Prover 2: Preprocessing ... % 4.30/1.32 Prover 5: Preprocessing ... % 4.30/1.32 Prover 0: Preprocessing ... % 4.30/1.32 Prover 3: Preprocessing ... % 4.30/1.33 Prover 6: Preprocessing ... % 11.25/2.28 Prover 1: Constructing countermodel ... % 11.38/2.30 Prover 6: Proving ... % 11.38/2.30 Prover 3: Constructing countermodel ... % 12.20/2.42 Prover 2: Proving ... % 12.20/2.44 Prover 5: Proving ... % 13.80/2.63 Prover 4: Constructing countermodel ... % 13.80/2.70 Prover 0: Proving ... % 18.23/3.27 Prover 3: gave up % 18.23/3.27 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 18.91/3.37 Prover 7: Preprocessing ... % 23.16/3.92 Prover 1: gave up % 23.16/3.93 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 23.35/3.97 Prover 7: Warning: ignoring some quantifiers % 23.35/4.00 Prover 7: Constructing countermodel ... % 23.35/4.01 Prover 8: Preprocessing ... % 24.50/4.24 Prover 8: Warning: ignoring some quantifiers % 24.50/4.25 Prover 8: Constructing countermodel ... % 37.58/5.80 Prover 8: gave up % 37.63/5.82 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 37.63/5.90 Prover 9: Preprocessing ... % 39.97/6.27 Prover 9: Constructing countermodel ... % 43.68/6.63 Prover 2: proved (5987ms) % 43.68/6.63 % 43.68/6.63 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 43.68/6.63 % 43.68/6.63 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 43.68/6.63 Prover 5: stopped % 43.68/6.63 Prover 0: stopped % 43.68/6.63 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 43.68/6.63 Prover 9: stopped % 43.68/6.63 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 43.68/6.64 Prover 6: stopped % 43.68/6.65 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 43.68/6.65 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 44.35/6.70 Prover 13: Preprocessing ... % 44.52/6.70 Prover 16: Preprocessing ... % 44.52/6.71 Prover 11: Preprocessing ... % 44.52/6.71 Prover 10: Preprocessing ... % 44.66/6.76 Prover 19: Preprocessing ... % 45.37/6.85 Prover 10: Warning: ignoring some quantifiers % 45.37/6.85 Prover 10: Constructing countermodel ... % 45.37/6.88 Prover 16: Warning: ignoring some quantifiers % 45.97/6.89 Prover 16: Constructing countermodel ... % 45.97/6.91 Prover 13: Warning: ignoring some quantifiers % 45.97/6.92 Prover 13: Constructing countermodel ... % 45.97/6.93 Prover 19: Warning: ignoring some quantifiers % 45.97/6.95 Prover 19: Constructing countermodel ... % 45.97/6.97 Prover 11: Constructing countermodel ... % 61.87/9.16 Prover 16: Found proof (size 68) % 61.87/9.16 Prover 16: proved (2522ms) % 61.87/9.17 Prover 11: stopped % 61.87/9.17 Prover 7: stopped % 61.87/9.17 Prover 10: stopped % 61.87/9.17 Prover 13: stopped % 61.87/9.17 Prover 19: stopped % 61.87/9.17 Prover 4: stopped % 61.87/9.17 % 61.87/9.17 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 61.87/9.17 % 61.87/9.17 % SZS output start Proof for theBenchmark % 61.87/9.18 Assumptions after simplification: % 61.87/9.18 --------------------------------- % 61.87/9.18 % 61.87/9.18 (axiom_03) % 63.36/9.20 $i(nbr_proc) & $i(zero) & ? [v0: $i] : (s(zero) = v0 & $i(v0) & leq(v0, % 63.36/9.20 nbr_proc)) % 63.36/9.20 % 63.36/9.20 (axiom_12) % 63.36/9.20 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (m_Down(v2) = v3) % 63.36/9.20 | ~ (m_Ack(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0)) % 63.36/9.20 % 63.36/9.20 (axiom_46) % 63.36/9.21 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 63.36/9.21 (cons(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ elem(v0, v3) | % 63.36/9.21 elem(v0, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 63.36/9.21 (cons(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ elem(v0, v2) | % 63.36/9.21 elem(v0, v3)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (cons(v0, v1) % 63.36/9.21 = v2) | ~ $i(v1) | ~ $i(v0) | elem(v0, v2)) % 63.36/9.21 % 63.36/9.21 (axiom_47) % 63.36/9.21 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 63.36/9.21 (snoc(v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ elem(v0, v3) | % 63.36/9.21 elem(v0, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 63.36/9.21 (snoc(v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ elem(v0, v2) | % 63.36/9.21 elem(v0, v3)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (snoc(v1, v0) % 63.36/9.21 = v2) | ~ $i(v1) | ~ $i(v0) | elem(v0, v2)) % 63.36/9.21 % 63.36/9.21 (conj) % 63.36/9.23 $i(down) & $i(ldr) & $i(elid) & $i(status) & $i(alive) & $i(norm) & $i(wait) & % 63.36/9.23 $i(elec_1) & $i(elec_2) & $i(nbr_proc) & $i(zero) & ? [v0: $i] : ? [v1: $i] % 63.36/9.23 : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? % 63.36/9.23 [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: % 63.36/9.23 $i] : ? [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: % 63.36/9.23 $i] : ( ~ (v4 = nbr_proc) & index(down, nbr_proc) = v12 & index(status, % 63.36/9.23 nbr_proc) = elec_1 & snoc(v15, v7) = v16 & cons(v6, v1) = v5 & m_Down(v10) % 63.36/9.23 = v14 & m_Down(v9) = v17 & m_Halt(v3) = v6 & s(zero) = v0 & m_Ack(v3, v2) = % 63.36/9.23 v7 & host(v11) = nbr_proc & host(v10) = v13 & host(v9) = nbr_proc & host(v8) % 63.36/9.23 = v4 & host(v3) = nbr_proc & host(v2) = v4 & queue(v4) = v5 & % 63.36/9.23 queue(nbr_proc) = v15 & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & % 63.36/9.23 $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & % 63.36/9.23 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & setIn(v8, alive) & setIn(v2, % 63.36/9.23 alive) & elem(v17, v1) & elem(v14, v16) & ! [v18: $i] : ! [v19: $i] : ! % 63.36/9.23 [v20: $i] : ! [v21: $i] : ! [v22: $i] : ! [v23: $i] : ! [v24: $i] : ! % 63.36/9.23 [v25: $i] : (v23 = v22 | ~ (m_Down(v21) = v24) | ~ (m_Down(v19) = v25) | % 63.36/9.23 ~ (host(v20) = v22) | ~ (host(v18) = v23) | ~ $i(v21) | ~ $i(v20) | ~ % 63.36/9.23 $i(v19) | ~ $i(v18) | ~ setIn(v20, alive) | ~ setIn(v18, alive) | ? % 63.36/9.23 [v26: $i] : ? [v27: $i] : ? [v28: $i] : ? [v29: $i] : (( ~ (v27 = v22) % 63.36/9.23 & host(v21) = v27 & $i(v27)) | ( ~ (v26 = v23) & host(v19) = v26 & % 63.36/9.23 $i(v26)) | (queue(v23) = v28 & $i(v28) & ~ elem(v24, v28)) | % 63.36/9.23 (queue(v22) = v29 & $i(v29) & ~ elem(v25, v29)))) & ! [v18: $i] : ! % 63.36/9.23 [v19: $i] : ! [v20: $i] : ! [v21: $i] : ! [v22: $i] : ! [v23: $i] : ! % 63.36/9.23 [v24: $i] : (v23 = v22 | ~ (m_Down(v21) = v24) | ~ (host(v20) = v22) | ~ % 63.36/9.23 (host(v19) = v23) | ~ (host(v18) = v23) | ~ $i(v21) | ~ $i(v20) | ~ % 63.36/9.23 $i(v19) | ~ $i(v18) | ~ setIn(v20, alive) | ~ setIn(v18, alive) | ? % 63.36/9.23 [v25: $i] : ? [v26: $i] : ? [v27: $i] : (( ~ (v25 = v22) & host(v21) = % 63.36/9.23 v25 & $i(v25)) | (index(down, v22) = v27 & $i(v27) & ~ setIn(v23, % 63.36/9.23 v27)) | (queue(v23) = v26 & $i(v26) & ~ elem(v24, v26)))) & ! % 63.36/9.23 [v18: $i] : ! [v19: $i] : ! [v20: $i] : ! [v21: $i] : ! [v22: $i] : ! % 63.36/9.23 [v23: $i] : ! [v24: $i] : ( ~ (m_Down(v20) = v22) | ~ (m_Down(v19) = v23) % 63.36/9.23 | ~ (host(v21) = nbr_proc) | ~ (host(v18) = v24) | ~ $i(v21) | ~ % 63.36/9.23 $i(v20) | ~ $i(v19) | ~ $i(v18) | ~ setIn(v18, alive) | ? [v25: $i] : % 63.36/9.23 ? [v26: $i] : ? [v27: $i] : ? [v28: $i] : ? [v29: $i] : ? [v30: $i] : % 63.36/9.23 ($i(v30) & ((v27 = v15 & ~ elem(v22, v15)) | (v25 = v12 & ~ (v30 = v26) % 63.36/9.23 & host(v20) = v26 & $i(v26) & leq(v0, v30) & ~ leq(nbr_proc, v30) & % 63.36/9.23 ~ setIn(v30, v12)) | ( ~ (v28 = nbr_proc) & host(v19) = v28 & % 63.36/9.23 $i(v28)) | (queue(v24) = v29 & $i(v29) & ~ elem(v23, v29))))) & ! % 63.36/9.23 [v18: $i] : ! [v19: $i] : ! [v20: $i] : ! [v21: $i] : ! [v22: $i] : ! % 63.36/9.23 [v23: $i] : (v22 = v21 | ~ (m_Down(v18) = v23) | ~ (host(v20) = v21) | ~ % 63.36/9.23 (host(v19) = v22) | ~ $i(v20) | ~ $i(v19) | ~ $i(v18) | ~ setIn(v20, % 63.36/9.23 alive) | ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? % 63.36/9.23 [v28: $i] : (( ~ (v27 = v22) & index(elid, v21) = v26 & host(v26) = v27 & % 63.36/9.23 $i(v27) & $i(v26)) | ( ~ (v25 = wait) & index(status, v21) = v25 & % 63.36/9.23 $i(v25)) | ( ~ (v24 = v21) & host(v18) = v24 & $i(v24)) | (queue(v22) % 63.36/9.23 = v28 & $i(v28) & ~ elem(v23, v28)))) & ! [v18: $i] : ! [v19: $i] : % 63.36/9.23 ! [v20: $i] : ! [v21: $i] : ! [v22: $i] : ! [v23: $i] : (v22 = v21 | ~ % 63.36/9.23 (m_Down(v18) = v23) | ~ (host(v20) = v21) | ~ (host(v19) = v22) | ~ % 63.36/9.23 $i(v20) | ~ $i(v19) | ~ $i(v18) | ~ setIn(v20, alive) | ? [v24: $i] : % 63.36/9.23 ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : (( ~ (v26 = norm) & % 63.36/9.23 index(status, v21) = v26 & $i(v26)) | ( ~ (v25 = v22) & index(ldr, % 63.36/9.23 v21) = v25 & $i(v25)) | ( ~ (v24 = v21) & host(v18) = v24 & $i(v24)) % 63.36/9.23 | (queue(v22) = v27 & $i(v27) & ~ elem(v23, v27)))) & ! [v18: $i] : ! % 63.36/9.23 [v19: $i] : ! [v20: $i] : ! [v21: $i] : ( ~ (m_Ldr(v19) = v20) | ~ % 63.36/9.23 (host(v18) = v21) | ~ $i(v19) | ~ $i(v18) | ? [v22: $i] : ? [v23: $i] % 63.36/9.23 : ((host(v19) = v23 & $i(v23) & ~ leq(v21, v23)) | (queue(v21) = v22 & % 63.36/9.23 $i(v22) & ~ elem(v20, v22)))) & ! [v18: $i] : ! [v19: $i] : ! % 63.36/9.23 [v20: $i] : ! [v21: $i] : ( ~ (m_Down(v19) = v20) | ~ (host(v18) = v21) | % 63.36/9.23 ~ $i(v19) | ~ $i(v18) | ? [v22: $i] : ? [v23: $i] : (( ~ (v23 = v21) & % 63.36/9.23 host(v19) = v23 & $i(v23)) | (queue(v21) = v22 & $i(v22) & ~ % 63.36/9.23 elem(v20, v22)))) & ! [v18: $i] : ! [v19: $i] : ! [v20: $i] : (v19 % 63.36/9.23 = v18 | ~ (host(v19) = v20) | ~ (host(v18) = v20) | ~ $i(v19) | ~ % 63.36/9.23 $i(v18) | ~ setIn(v19, alive) | ~ setIn(v18, alive)) & ! [v18: $i] : ! % 63.36/9.23 [v19: $i] : ! [v20: $i] : ( ~ (m_NotNorm(v18) = v20) | ~ (host(v19) = % 63.36/9.23 nbr_proc) | ~ $i(v19) | ~ $i(v18) | ~ elem(v20, v15)) & ! [v18: $i] % 63.58/9.23 : ! [v19: $i] : ( ~ (host(v18) = v19) | ~ $i(v18) | ~ setIn(v18, alive) | % 63.58/9.23 ? [v20: $i] : ? [v21: $i] : ((v21 = v18 & index(elid, v19) = v18) | ( ~ % 63.58/9.23 (v20 = elec_1) & ~ (v20 = elec_2) & index(status, v19) = v20 & % 63.58/9.23 $i(v20)))) & ! [v18: $i] : (v18 = v13 | ~ $i(v18) | ~ leq(v0, v18) % 63.58/9.23 | leq(nbr_proc, v18) | setIn(v18, v12))) % 63.58/9.23 % 63.58/9.23 (function-axioms) % 63.58/9.23 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 63.58/9.23 (index(v3, v2) = v1) | ~ (index(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] % 63.58/9.23 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (snoc(v3, v2) = v1) | ~ (snoc(v3, % 63.58/9.23 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 % 63.58/9.23 = v0 | ~ (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0)) & ! [v0: $i] : ! % 63.58/9.23 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (m_Ack(v3, v2) = v1) | ~ % 63.58/9.23 (m_Ack(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | % 63.58/9.23 ~ (pidMsg(v2) = v1) | ~ (pidMsg(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : % 63.58/9.23 ! [v2: $i] : (v1 = v0 | ~ (init(v2) = v1) | ~ (init(v2) = v0)) & ! [v0: $i] % 63.58/9.23 : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (last(v2) = v1) | ~ (last(v2) = % 63.58/9.23 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (tail(v2) = % 63.58/9.23 v1) | ~ (tail(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 % 63.58/9.23 = v0 | ~ (head(v2) = v1) | ~ (head(v2) = v0)) & ! [v0: $i] : ! [v1: $i] % 63.58/9.23 : ! [v2: $i] : (v1 = v0 | ~ (m_NormQ(v2) = v1) | ~ (m_NormQ(v2) = v0)) & ! % 63.58/9.23 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (m_Ldr(v2) = v1) | ~ % 63.58/9.23 (m_Ldr(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 63.58/9.23 (m_NotNorm(v2) = v1) | ~ (m_NotNorm(v2) = v0)) & ! [v0: $i] : ! [v1: $i] % 63.58/9.23 : ! [v2: $i] : (v1 = v0 | ~ (m_Down(v2) = v1) | ~ (m_Down(v2) = v0)) & ! % 63.58/9.23 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (m_Halt(v2) = v1) | ~ % 63.58/9.23 (m_Halt(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 63.58/9.23 (s(v2) = v1) | ~ (s(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 63.58/9.23 (v1 = v0 | ~ (host(v2) = v1) | ~ (host(v2) = v0)) & ! [v0: $i] : ! [v1: % 63.58/9.23 $i] : ! [v2: $i] : (v1 = v0 | ~ (queue(v2) = v1) | ~ (queue(v2) = v0)) % 63.58/9.23 % 63.58/9.23 Further assumptions not needed in the proof: % 63.58/9.23 -------------------------------------------- % 63.58/9.23 axiom, axiom_01, axiom_02, axiom_04, axiom_05, axiom_06, axiom_07, axiom_08, % 63.58/9.23 axiom_09, axiom_10, axiom_11, axiom_13, axiom_14, axiom_15, axiom_16, axiom_17, % 63.58/9.23 axiom_18, axiom_19, axiom_20, axiom_21, axiom_22, axiom_23, axiom_24, axiom_25, % 63.58/9.23 axiom_26, axiom_27, axiom_28, axiom_29, axiom_30, axiom_31, axiom_32, axiom_33, % 63.58/9.23 axiom_34, axiom_35, axiom_36, axiom_37, axiom_38, axiom_39, axiom_40, axiom_41, % 63.58/9.23 axiom_42, axiom_43, axiom_44, axiom_45, axiom_48, axiom_49, axiom_50, axiom_51, % 63.58/9.23 axiom_52, axiom_53, axiom_54, axiom_55, axiom_56, axiom_57, axiom_58, axiom_59, % 63.58/9.23 axiom_60, axiom_61, axiom_62, axiom_63, axiom_64, axiom_65 % 63.58/9.23 % 63.58/9.23 Those formulas are unsatisfiable: % 63.58/9.23 --------------------------------- % 63.58/9.23 % 63.58/9.23 Begin of proof % 63.58/9.23 | % 63.58/9.23 | ALPHA: (axiom_03) implies: % 63.58/9.24 | (1) ? [v0: $i] : (s(zero) = v0 & $i(v0) & leq(v0, nbr_proc)) % 63.58/9.24 | % 63.58/9.24 | ALPHA: (axiom_46) implies: % 63.58/9.24 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (cons(v1, % 63.58/9.24 | v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ elem(v0, v2) | % 63.58/9.24 | elem(v0, v3)) % 63.58/9.24 | % 63.58/9.24 | ALPHA: (axiom_47) implies: % 63.58/9.24 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 63.58/9.24 | (snoc(v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ elem(v0, % 63.58/9.24 | v3) | elem(v0, v2)) % 63.58/9.24 | % 63.58/9.24 | ALPHA: (conj) implies: % 63.67/9.25 | (4) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 63.67/9.25 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? % 63.67/9.25 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : % 63.67/9.25 | ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ( ~ (v4 = nbr_proc) & % 63.67/9.25 | index(down, nbr_proc) = v12 & index(status, nbr_proc) = elec_1 & % 63.67/9.25 | snoc(v15, v7) = v16 & cons(v6, v1) = v5 & m_Down(v10) = v14 & % 63.67/9.25 | m_Down(v9) = v17 & m_Halt(v3) = v6 & s(zero) = v0 & m_Ack(v3, v2) = % 63.67/9.25 | v7 & host(v11) = nbr_proc & host(v10) = v13 & host(v9) = nbr_proc & % 63.67/9.25 | host(v8) = v4 & host(v3) = nbr_proc & host(v2) = v4 & queue(v4) = v5 % 63.67/9.25 | & queue(nbr_proc) = v15 & $i(v17) & $i(v16) & $i(v15) & $i(v14) & % 63.67/9.25 | $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & % 63.67/9.25 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & % 63.67/9.25 | setIn(v8, alive) & setIn(v2, alive) & elem(v17, v1) & elem(v14, v16) % 63.67/9.25 | & ! [v18: $i] : ! [v19: $i] : ! [v20: $i] : ! [v21: $i] : ! % 63.67/9.25 | [v22: $i] : ! [v23: $i] : ! [v24: $i] : ! [v25: $i] : (v23 = v22 | % 63.67/9.25 | ~ (m_Down(v21) = v24) | ~ (m_Down(v19) = v25) | ~ (host(v20) = % 63.67/9.25 | v22) | ~ (host(v18) = v23) | ~ $i(v21) | ~ $i(v20) | ~ % 63.67/9.25 | $i(v19) | ~ $i(v18) | ~ setIn(v20, alive) | ~ setIn(v18, alive) % 63.67/9.25 | | ? [v26: $i] : ? [v27: $i] : ? [v28: $i] : ? [v29: $i] : (( ~ % 63.67/9.25 | (v27 = v22) & host(v21) = v27 & $i(v27)) | ( ~ (v26 = v23) & % 63.67/9.25 | host(v19) = v26 & $i(v26)) | (queue(v23) = v28 & $i(v28) & ~ % 63.67/9.25 | elem(v24, v28)) | (queue(v22) = v29 & $i(v29) & ~ elem(v25, % 63.67/9.25 | v29)))) & ! [v18: $i] : ! [v19: $i] : ! [v20: $i] : ! % 63.67/9.25 | [v21: $i] : ! [v22: $i] : ! [v23: $i] : ! [v24: $i] : (v23 = v22 | % 63.67/9.25 | ~ (m_Down(v21) = v24) | ~ (host(v20) = v22) | ~ (host(v19) = % 63.67/9.25 | v23) | ~ (host(v18) = v23) | ~ $i(v21) | ~ $i(v20) | ~ % 63.67/9.25 | $i(v19) | ~ $i(v18) | ~ setIn(v20, alive) | ~ setIn(v18, alive) % 63.67/9.25 | | ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : (( ~ (v25 = v22) & % 63.67/9.25 | host(v21) = v25 & $i(v25)) | (index(down, v22) = v27 & $i(v27) % 63.67/9.25 | & ~ setIn(v23, v27)) | (queue(v23) = v26 & $i(v26) & ~ % 63.67/9.25 | elem(v24, v26)))) & ! [v18: $i] : ! [v19: $i] : ! [v20: $i] % 63.67/9.25 | : ! [v21: $i] : ! [v22: $i] : ! [v23: $i] : ! [v24: $i] : ( ~ % 63.67/9.25 | (m_Down(v20) = v22) | ~ (m_Down(v19) = v23) | ~ (host(v21) = % 63.67/9.25 | nbr_proc) | ~ (host(v18) = v24) | ~ $i(v21) | ~ $i(v20) | ~ % 63.67/9.25 | $i(v19) | ~ $i(v18) | ~ setIn(v18, alive) | ? [v25: $i] : ? % 63.67/9.25 | [v26: $i] : ? [v27: $i] : ? [v28: $i] : ? [v29: $i] : ? [v30: % 63.67/9.25 | $i] : ($i(v30) & ((v27 = v15 & ~ elem(v22, v15)) | (v25 = v12 & % 63.67/9.25 | ~ (v30 = v26) & host(v20) = v26 & $i(v26) & leq(v0, v30) & ~ % 63.67/9.25 | leq(nbr_proc, v30) & ~ setIn(v30, v12)) | ( ~ (v28 = % 63.67/9.25 | nbr_proc) & host(v19) = v28 & $i(v28)) | (queue(v24) = v29 % 63.67/9.25 | & $i(v29) & ~ elem(v23, v29))))) & ! [v18: $i] : ! [v19: % 63.67/9.25 | $i] : ! [v20: $i] : ! [v21: $i] : ! [v22: $i] : ! [v23: $i] : % 63.67/9.25 | (v22 = v21 | ~ (m_Down(v18) = v23) | ~ (host(v20) = v21) | ~ % 63.67/9.25 | (host(v19) = v22) | ~ $i(v20) | ~ $i(v19) | ~ $i(v18) | ~ % 63.67/9.25 | setIn(v20, alive) | ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? % 63.67/9.25 | [v27: $i] : ? [v28: $i] : (( ~ (v27 = v22) & index(elid, v21) = % 63.67/9.25 | v26 & host(v26) = v27 & $i(v27) & $i(v26)) | ( ~ (v25 = wait) & % 63.67/9.25 | index(status, v21) = v25 & $i(v25)) | ( ~ (v24 = v21) & % 63.67/9.25 | host(v18) = v24 & $i(v24)) | (queue(v22) = v28 & $i(v28) & ~ % 63.67/9.25 | elem(v23, v28)))) & ! [v18: $i] : ! [v19: $i] : ! [v20: $i] % 63.67/9.25 | : ! [v21: $i] : ! [v22: $i] : ! [v23: $i] : (v22 = v21 | ~ % 63.67/9.25 | (m_Down(v18) = v23) | ~ (host(v20) = v21) | ~ (host(v19) = v22) | % 63.67/9.25 | ~ $i(v20) | ~ $i(v19) | ~ $i(v18) | ~ setIn(v20, alive) | ? % 63.67/9.25 | [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : (( ~ (v26 % 63.67/9.25 | = norm) & index(status, v21) = v26 & $i(v26)) | ( ~ (v25 = % 63.67/9.25 | v22) & index(ldr, v21) = v25 & $i(v25)) | ( ~ (v24 = v21) & % 63.67/9.25 | host(v18) = v24 & $i(v24)) | (queue(v22) = v27 & $i(v27) & ~ % 63.67/9.25 | elem(v23, v27)))) & ! [v18: $i] : ! [v19: $i] : ! [v20: $i] % 63.67/9.25 | : ! [v21: $i] : ( ~ (m_Ldr(v19) = v20) | ~ (host(v18) = v21) | ~ % 63.67/9.25 | $i(v19) | ~ $i(v18) | ? [v22: $i] : ? [v23: $i] : ((host(v19) = % 63.67/9.25 | v23 & $i(v23) & ~ leq(v21, v23)) | (queue(v21) = v22 & $i(v22) % 63.67/9.25 | & ~ elem(v20, v22)))) & ! [v18: $i] : ! [v19: $i] : ! [v20: % 63.67/9.25 | $i] : ! [v21: $i] : ( ~ (m_Down(v19) = v20) | ~ (host(v18) = v21) % 63.67/9.25 | | ~ $i(v19) | ~ $i(v18) | ? [v22: $i] : ? [v23: $i] : (( ~ (v23 % 63.67/9.25 | = v21) & host(v19) = v23 & $i(v23)) | (queue(v21) = v22 & % 63.67/9.25 | $i(v22) & ~ elem(v20, v22)))) & ! [v18: $i] : ! [v19: $i] : % 63.67/9.25 | ! [v20: $i] : (v19 = v18 | ~ (host(v19) = v20) | ~ (host(v18) = % 63.67/9.25 | v20) | ~ $i(v19) | ~ $i(v18) | ~ setIn(v19, alive) | ~ % 63.67/9.25 | setIn(v18, alive)) & ! [v18: $i] : ! [v19: $i] : ! [v20: $i] : ( % 63.67/9.25 | ~ (m_NotNorm(v18) = v20) | ~ (host(v19) = nbr_proc) | ~ $i(v19) | % 63.67/9.25 | ~ $i(v18) | ~ elem(v20, v15)) & ! [v18: $i] : ! [v19: $i] : ( ~ % 63.67/9.25 | (host(v18) = v19) | ~ $i(v18) | ~ setIn(v18, alive) | ? [v20: % 63.67/9.25 | $i] : ? [v21: $i] : ((v21 = v18 & index(elid, v19) = v18) | ( ~ % 63.67/9.25 | (v20 = elec_1) & ~ (v20 = elec_2) & index(status, v19) = v20 & % 63.67/9.25 | $i(v20)))) & ! [v18: $i] : (v18 = v13 | ~ $i(v18) | ~ % 63.67/9.25 | leq(v0, v18) | leq(nbr_proc, v18) | setIn(v18, v12))) % 63.67/9.25 | % 63.67/9.25 | ALPHA: (function-axioms) implies: % 63.67/9.25 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (queue(v2) = % 63.67/9.25 | v1) | ~ (queue(v2) = v0)) % 63.67/9.25 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (host(v2) = v1) % 63.67/9.25 | | ~ (host(v2) = v0)) % 63.67/9.26 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (s(v2) = v1) | % 63.67/9.26 | ~ (s(v2) = v0)) % 63.67/9.26 | % 63.67/9.26 | DELTA: instantiating (1) with fresh symbol all_50_0 gives: % 63.67/9.26 | (8) s(zero) = all_50_0 & $i(all_50_0) & leq(all_50_0, nbr_proc) % 63.67/9.26 | % 63.67/9.26 | ALPHA: (8) implies: % 63.67/9.26 | (9) s(zero) = all_50_0 % 63.67/9.26 | % 63.67/9.26 | DELTA: instantiating (4) with fresh symbols all_65_0, all_65_1, all_65_2, % 63.67/9.26 | all_65_3, all_65_4, all_65_5, all_65_6, all_65_7, all_65_8, all_65_9, % 63.67/9.26 | all_65_10, all_65_11, all_65_12, all_65_13, all_65_14, all_65_15, % 63.67/9.26 | all_65_16, all_65_17 gives: % 63.67/9.27 | (10) ~ (all_65_13 = nbr_proc) & index(down, nbr_proc) = all_65_5 & % 63.67/9.27 | index(status, nbr_proc) = elec_1 & snoc(all_65_2, all_65_10) = % 63.67/9.27 | all_65_1 & cons(all_65_11, all_65_16) = all_65_12 & m_Down(all_65_7) = % 63.67/9.27 | all_65_3 & m_Down(all_65_8) = all_65_0 & m_Halt(all_65_14) = all_65_11 % 63.67/9.27 | & s(zero) = all_65_17 & m_Ack(all_65_14, all_65_15) = all_65_10 & % 63.67/9.27 | host(all_65_6) = nbr_proc & host(all_65_7) = all_65_4 & host(all_65_8) % 63.67/9.27 | = nbr_proc & host(all_65_9) = all_65_13 & host(all_65_14) = nbr_proc & % 63.67/9.27 | host(all_65_15) = all_65_13 & queue(all_65_13) = all_65_12 & % 63.67/9.27 | queue(nbr_proc) = all_65_2 & $i(all_65_0) & $i(all_65_1) & % 63.67/9.27 | $i(all_65_2) & $i(all_65_3) & $i(all_65_4) & $i(all_65_5) & % 63.67/9.27 | $i(all_65_6) & $i(all_65_7) & $i(all_65_8) & $i(all_65_9) & % 63.67/9.27 | $i(all_65_10) & $i(all_65_11) & $i(all_65_12) & $i(all_65_13) & % 63.67/9.27 | $i(all_65_14) & $i(all_65_15) & $i(all_65_16) & $i(all_65_17) & % 63.67/9.27 | setIn(all_65_9, alive) & setIn(all_65_15, alive) & elem(all_65_0, % 63.67/9.27 | all_65_16) & elem(all_65_3, all_65_1) & ! [v0: $i] : ! [v1: $i] : % 63.67/9.27 | ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : % 63.67/9.27 | ! [v7: $i] : (v5 = v4 | ~ (m_Down(v3) = v6) | ~ (m_Down(v1) = v7) | % 63.67/9.27 | ~ (host(v2) = v4) | ~ (host(v0) = v5) | ~ $i(v3) | ~ $i(v2) | ~ % 63.67/9.27 | $i(v1) | ~ $i(v0) | ~ setIn(v2, alive) | ~ setIn(v0, alive) | ? % 63.67/9.27 | [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : (( ~ (v9 = % 63.67/9.27 | v4) & host(v3) = v9 & $i(v9)) | ( ~ (v8 = v5) & host(v1) = v8 % 63.67/9.27 | & $i(v8)) | (queue(v5) = v10 & $i(v10) & ~ elem(v6, v10)) | % 63.67/9.27 | (queue(v4) = v11 & $i(v11) & ~ elem(v7, v11)))) & ! [v0: $i] : % 63.67/9.27 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : % 63.67/9.27 | ! [v6: $i] : (v5 = v4 | ~ (m_Down(v3) = v6) | ~ (host(v2) = v4) | ~ % 63.67/9.27 | (host(v1) = v5) | ~ (host(v0) = v5) | ~ $i(v3) | ~ $i(v2) | ~ % 63.67/9.27 | $i(v1) | ~ $i(v0) | ~ setIn(v2, alive) | ~ setIn(v0, alive) | ? % 63.67/9.27 | [v7: $i] : ? [v8: $i] : ? [v9: $i] : (( ~ (v7 = v4) & host(v3) = % 63.67/9.27 | v7 & $i(v7)) | (index(down, v4) = v9 & $i(v9) & ~ setIn(v5, % 63.67/9.27 | v9)) | (queue(v5) = v8 & $i(v8) & ~ elem(v6, v8)))) & ! [v0: % 63.67/9.27 | $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! % 63.67/9.27 | [v5: $i] : ! [v6: $i] : ( ~ (m_Down(v2) = v4) | ~ (m_Down(v1) = v5) % 63.67/9.27 | | ~ (host(v3) = nbr_proc) | ~ (host(v0) = v6) | ~ $i(v3) | ~ % 63.67/9.27 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v0, alive) | ? [v7: int] % 63.67/9.27 | : ? [v8: $i] : ? [v9: int] : ? [v10: $i] : ? [v11: $i] : ? % 63.67/9.27 | [v12: $i] : ($i(v12) & ((v9 = all_65_2 & ~ elem(v4, all_65_2)) | % 63.67/9.27 | (v7 = all_65_5 & ~ (v12 = v8) & host(v2) = v8 & $i(v8) & % 63.67/9.27 | leq(all_65_17, v12) & ~ leq(nbr_proc, v12) & ~ setIn(v12, % 63.67/9.27 | all_65_5)) | ( ~ (v10 = nbr_proc) & host(v1) = v10 & % 63.67/9.27 | $i(v10)) | (queue(v6) = v11 & $i(v11) & ~ elem(v5, v11))))) & % 63.67/9.27 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 63.67/9.27 | ! [v5: $i] : (v4 = v3 | ~ (m_Down(v0) = v5) | ~ (host(v2) = v3) | ~ % 63.67/9.27 | (host(v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v2, % 63.67/9.27 | alive) | ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 63.67/9.27 | ? [v10: $i] : (( ~ (v9 = v4) & index(elid, v3) = v8 & host(v8) = v9 % 63.67/9.27 | & $i(v9) & $i(v8)) | ( ~ (v7 = wait) & index(status, v3) = v7 & % 63.67/9.27 | $i(v7)) | ( ~ (v6 = v3) & host(v0) = v6 & $i(v6)) | (queue(v4) = % 63.67/9.27 | v10 & $i(v10) & ~ elem(v5, v10)))) & ! [v0: $i] : ! [v1: $i] % 63.67/9.27 | : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v4 = v3 | % 63.67/9.27 | ~ (m_Down(v0) = v5) | ~ (host(v2) = v3) | ~ (host(v1) = v4) | ~ % 63.67/9.27 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v2, alive) | ? [v6: $i] : % 63.67/9.27 | ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : (( ~ (v8 = norm) & % 63.67/9.27 | index(status, v3) = v8 & $i(v8)) | ( ~ (v7 = v4) & index(ldr, % 63.67/9.27 | v3) = v7 & $i(v7)) | ( ~ (v6 = v3) & host(v0) = v6 & $i(v6)) | % 63.67/9.27 | (queue(v4) = v9 & $i(v9) & ~ elem(v5, v9)))) & ! [v0: $i] : ! % 63.67/9.27 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (m_Ldr(v1) = v2) | ~ % 63.67/9.27 | (host(v0) = v3) | ~ $i(v1) | ~ $i(v0) | ? [v4: $i] : ? [v5: $i] % 63.67/9.27 | : ((host(v1) = v5 & $i(v5) & ~ leq(v3, v5)) | (queue(v3) = v4 & % 63.67/9.27 | $i(v4) & ~ elem(v2, v4)))) & ! [v0: $i] : ! [v1: $i] : ! % 63.67/9.27 | [v2: $i] : ! [v3: $i] : ( ~ (m_Down(v1) = v2) | ~ (host(v0) = v3) | % 63.67/9.27 | ~ $i(v1) | ~ $i(v0) | ? [v4: $i] : ? [v5: $i] : (( ~ (v5 = v3) & % 63.67/9.27 | host(v1) = v5 & $i(v5)) | (queue(v3) = v4 & $i(v4) & ~ elem(v2, % 63.67/9.27 | v4)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | % 63.67/9.27 | ~ (host(v1) = v2) | ~ (host(v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~ % 63.67/9.27 | setIn(v1, alive) | ~ setIn(v0, alive)) & ! [v0: $i] : ! [v1: $i] % 63.67/9.27 | : ! [v2: $i] : ( ~ (m_NotNorm(v0) = v2) | ~ (host(v1) = nbr_proc) | % 63.67/9.27 | ~ $i(v1) | ~ $i(v0) | ~ elem(v2, all_65_2)) & ! [v0: $i] : ! % 63.67/9.27 | [v1: $i] : ( ~ (host(v0) = v1) | ~ $i(v0) | ~ setIn(v0, alive) | ? % 63.67/9.27 | [v2: $i] : ? [v3: $i] : ((v3 = v0 & index(elid, v1) = v0) | ( ~ (v2 % 63.67/9.27 | = elec_1) & ~ (v2 = elec_2) & index(status, v1) = v2 & % 63.67/9.27 | $i(v2)))) & ! [v0: any] : (v0 = all_65_4 | ~ $i(v0) | ~ % 63.67/9.27 | leq(all_65_17, v0) | leq(nbr_proc, v0) | setIn(v0, all_65_5)) % 63.67/9.27 | % 63.67/9.27 | ALPHA: (10) implies: % 63.67/9.27 | (11) ~ (all_65_13 = nbr_proc) % 63.67/9.27 | (12) elem(all_65_3, all_65_1) % 63.67/9.27 | (13) elem(all_65_0, all_65_16) % 63.67/9.27 | (14) setIn(all_65_15, alive) % 63.67/9.27 | (15) $i(all_65_16) % 63.67/9.27 | (16) $i(all_65_15) % 63.67/9.27 | (17) $i(all_65_14) % 63.67/9.27 | (18) $i(all_65_11) % 63.67/9.27 | (19) $i(all_65_10) % 63.67/9.27 | (20) $i(all_65_8) % 63.67/9.27 | (21) $i(all_65_7) % 63.67/9.27 | (22) $i(all_65_3) % 63.67/9.27 | (23) $i(all_65_2) % 63.67/9.27 | (24) $i(all_65_0) % 63.67/9.27 | (25) queue(nbr_proc) = all_65_2 % 63.67/9.27 | (26) queue(all_65_13) = all_65_12 % 63.67/9.27 | (27) host(all_65_15) = all_65_13 % 63.67/9.27 | (28) host(all_65_14) = nbr_proc % 63.67/9.27 | (29) host(all_65_8) = nbr_proc % 63.67/9.27 | (30) host(all_65_7) = all_65_4 % 63.67/9.27 | (31) m_Ack(all_65_14, all_65_15) = all_65_10 % 63.67/9.27 | (32) s(zero) = all_65_17 % 63.67/9.27 | (33) m_Down(all_65_8) = all_65_0 % 63.67/9.27 | (34) m_Down(all_65_7) = all_65_3 % 63.67/9.27 | (35) cons(all_65_11, all_65_16) = all_65_12 % 63.67/9.27 | (36) snoc(all_65_2, all_65_10) = all_65_1 % 63.67/9.27 | (37) ! [v0: any] : (v0 = all_65_4 | ~ $i(v0) | ~ leq(all_65_17, v0) | % 63.67/9.27 | leq(nbr_proc, v0) | setIn(v0, all_65_5)) % 63.67/9.27 | (38) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 63.67/9.27 | (m_Down(v1) = v2) | ~ (host(v0) = v3) | ~ $i(v1) | ~ $i(v0) | ? % 63.67/9.27 | [v4: $i] : ? [v5: $i] : (( ~ (v5 = v3) & host(v1) = v5 & $i(v5)) | % 63.67/9.27 | (queue(v3) = v4 & $i(v4) & ~ elem(v2, v4)))) % 63.67/9.28 | (39) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 63.67/9.28 | ! [v5: $i] : (v4 = v3 | ~ (m_Down(v0) = v5) | ~ (host(v2) = v3) | ~ % 63.67/9.28 | (host(v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v2, % 63.67/9.28 | alive) | ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 63.67/9.28 | (( ~ (v8 = norm) & index(status, v3) = v8 & $i(v8)) | ( ~ (v7 = v4) % 63.67/9.28 | & index(ldr, v3) = v7 & $i(v7)) | ( ~ (v6 = v3) & host(v0) = v6 % 63.67/9.28 | & $i(v6)) | (queue(v4) = v9 & $i(v9) & ~ elem(v5, v9)))) % 63.67/9.28 | (40) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 63.67/9.28 | ! [v5: $i] : ! [v6: $i] : ( ~ (m_Down(v2) = v4) | ~ (m_Down(v1) = % 63.67/9.28 | v5) | ~ (host(v3) = nbr_proc) | ~ (host(v0) = v6) | ~ $i(v3) | % 63.67/9.28 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v0, alive) | ? [v7: % 63.67/9.28 | int] : ? [v8: $i] : ? [v9: int] : ? [v10: $i] : ? [v11: $i] : % 63.67/9.28 | ? [v12: $i] : ($i(v12) & ((v9 = all_65_2 & ~ elem(v4, all_65_2)) | % 63.67/9.28 | (v7 = all_65_5 & ~ (v12 = v8) & host(v2) = v8 & $i(v8) & % 63.67/9.28 | leq(all_65_17, v12) & ~ leq(nbr_proc, v12) & ~ setIn(v12, % 63.67/9.28 | all_65_5)) | ( ~ (v10 = nbr_proc) & host(v1) = v10 & % 63.67/9.28 | $i(v10)) | (queue(v6) = v11 & $i(v11) & ~ elem(v5, v11))))) % 63.67/9.28 | % 63.67/9.28 | GROUND_INST: instantiating (7) with all_50_0, all_65_17, zero, simplifying % 63.67/9.28 | with (9), (32) gives: % 63.67/9.28 | (41) all_65_17 = all_50_0 % 63.67/9.28 | % 63.67/9.28 | GROUND_INST: instantiating (40) with all_65_15, all_65_8, all_65_7, all_65_14, % 63.67/9.28 | all_65_3, all_65_0, all_65_13, simplifying with (14), (16), (17), % 63.67/9.28 | (20), (21), (27), (28), (33), (34) gives: % 63.67/9.28 | (42) ? [v0: int] : ? [v1: $i] : ? [v2: int] : ? [v3: $i] : ? [v4: $i] % 63.67/9.28 | : ? [v5: $i] : ($i(v5) & ((v2 = all_65_2 & ~ elem(all_65_3, % 63.67/9.28 | all_65_2)) | (v0 = all_65_5 & ~ (v5 = v1) & host(all_65_7) = % 63.67/9.28 | v1 & $i(v1) & leq(all_65_17, v5) & ~ leq(nbr_proc, v5) & ~ % 63.67/9.28 | setIn(v5, all_65_5)) | ( ~ (v3 = nbr_proc) & host(all_65_8) = v3 % 63.67/9.28 | & $i(v3)) | (queue(all_65_13) = v4 & $i(v4) & ~ elem(all_65_0, % 63.67/9.28 | v4)))) % 63.67/9.28 | % 63.67/9.28 | GROUND_INST: instantiating (39) with all_65_7, all_65_14, all_65_15, % 63.67/9.28 | all_65_13, nbr_proc, all_65_3, simplifying with (14), (16), (17), % 63.67/9.28 | (21), (27), (28), (34) gives: % 63.67/9.28 | (43) all_65_13 = nbr_proc | ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? % 63.67/9.28 | [v3: $i] : (( ~ (v2 = norm) & index(status, all_65_13) = v2 & $i(v2)) % 63.67/9.28 | | ( ~ (v1 = nbr_proc) & index(ldr, all_65_13) = v1 & $i(v1)) | ( ~ % 63.67/9.28 | (v0 = all_65_13) & host(all_65_7) = v0 & $i(v0)) | % 63.67/9.28 | (queue(nbr_proc) = v3 & $i(v3) & ~ elem(all_65_3, v3))) % 63.67/9.28 | % 63.67/9.28 | GROUND_INST: instantiating (38) with all_65_14, all_65_7, all_65_3, nbr_proc, % 63.67/9.28 | simplifying with (17), (21), (28), (34) gives: % 63.67/9.28 | (44) ? [v0: $i] : ? [v1: $i] : (( ~ (v1 = nbr_proc) & host(all_65_7) = v1 % 63.67/9.28 | & $i(v1)) | (queue(nbr_proc) = v0 & $i(v0) & ~ elem(all_65_3, % 63.67/9.28 | v0))) % 63.67/9.28 | % 63.67/9.28 | GROUND_INST: instantiating (axiom_12) with all_65_14, all_65_15, all_65_7, % 63.67/9.28 | all_65_10, simplifying with (16), (17), (21), (31) gives: % 63.67/9.28 | (45) ~ (m_Down(all_65_7) = all_65_10) % 63.67/9.28 | % 63.67/9.28 | GROUND_INST: instantiating (2) with all_65_0, all_65_11, all_65_16, all_65_12, % 63.67/9.28 | simplifying with (13), (15), (18), (24), (35) gives: % 63.67/9.28 | (46) elem(all_65_0, all_65_12) % 63.67/9.28 | % 63.67/9.28 | GROUND_INST: instantiating (3) with all_65_3, all_65_10, all_65_2, all_65_1, % 63.67/9.28 | simplifying with (12), (19), (22), (23), (36) gives: % 63.67/9.28 | (47) all_65_3 = all_65_10 | elem(all_65_3, all_65_2) % 63.67/9.28 | % 63.67/9.28 | DELTA: instantiating (44) with fresh symbols all_89_0, all_89_1 gives: % 63.67/9.28 | (48) ( ~ (all_89_0 = nbr_proc) & host(all_65_7) = all_89_0 & $i(all_89_0)) % 63.67/9.28 | | (queue(nbr_proc) = all_89_1 & $i(all_89_1) & ~ elem(all_65_3, % 63.67/9.28 | all_89_1)) % 63.67/9.28 | % 63.67/9.28 | DELTA: instantiating (42) with fresh symbols all_96_0, all_96_1, all_96_2, % 63.67/9.28 | all_96_3, all_96_4, all_96_5 gives: % 63.67/9.28 | (49) $i(all_96_0) & ((all_96_3 = all_65_2 & ~ elem(all_65_3, all_65_2)) | % 63.67/9.28 | (all_96_5 = all_65_5 & ~ (all_96_0 = all_96_4) & host(all_65_7) = % 63.67/9.28 | all_96_4 & $i(all_96_4) & leq(all_65_17, all_96_0) & ~ % 63.67/9.28 | leq(nbr_proc, all_96_0) & ~ setIn(all_96_0, all_65_5)) | ( ~ % 63.67/9.28 | (all_96_2 = nbr_proc) & host(all_65_8) = all_96_2 & $i(all_96_2)) % 63.67/9.28 | | (queue(all_65_13) = all_96_1 & $i(all_96_1) & ~ elem(all_65_0, % 63.67/9.28 | all_96_1))) % 63.67/9.28 | % 63.67/9.28 | ALPHA: (49) implies: % 63.67/9.28 | (50) $i(all_96_0) % 63.67/9.28 | (51) (all_96_3 = all_65_2 & ~ elem(all_65_3, all_65_2)) | (all_96_5 = % 63.67/9.28 | all_65_5 & ~ (all_96_0 = all_96_4) & host(all_65_7) = all_96_4 & % 63.67/9.28 | $i(all_96_4) & leq(all_65_17, all_96_0) & ~ leq(nbr_proc, all_96_0) % 63.67/9.28 | & ~ setIn(all_96_0, all_65_5)) | ( ~ (all_96_2 = nbr_proc) & % 63.67/9.28 | host(all_65_8) = all_96_2 & $i(all_96_2)) | (queue(all_65_13) = % 63.67/9.28 | all_96_1 & $i(all_96_1) & ~ elem(all_65_0, all_96_1)) % 63.67/9.28 | % 63.67/9.28 | BETA: splitting (43) gives: % 63.67/9.28 | % 63.67/9.28 | Case 1: % 63.67/9.28 | | % 63.67/9.28 | | (52) all_65_13 = nbr_proc % 63.67/9.29 | | % 63.67/9.29 | | REDUCE: (11), (52) imply: % 63.67/9.29 | | (53) $false % 63.67/9.29 | | % 63.67/9.29 | | CLOSE: (53) is inconsistent. % 63.67/9.29 | | % 63.67/9.29 | Case 2: % 63.67/9.29 | | % 63.67/9.29 | | % 63.67/9.29 | | PRED_UNIFY: (34), (45) imply: % 63.67/9.29 | | (54) ~ (all_65_3 = all_65_10) % 63.67/9.29 | | % 63.67/9.29 | | BETA: splitting (47) gives: % 63.67/9.29 | | % 63.67/9.29 | | Case 1: % 63.67/9.29 | | | % 63.67/9.29 | | | (55) elem(all_65_3, all_65_2) % 63.67/9.29 | | | % 63.67/9.29 | | | BETA: splitting (51) gives: % 63.67/9.29 | | | % 63.67/9.29 | | | Case 1: % 63.67/9.29 | | | | % 63.67/9.29 | | | | (56) (all_96_3 = all_65_2 & ~ elem(all_65_3, all_65_2)) | (all_96_5 % 63.67/9.29 | | | | = all_65_5 & ~ (all_96_0 = all_96_4) & host(all_65_7) = % 63.67/9.29 | | | | all_96_4 & $i(all_96_4) & leq(all_65_17, all_96_0) & ~ % 63.67/9.29 | | | | leq(nbr_proc, all_96_0) & ~ setIn(all_96_0, all_65_5)) % 63.67/9.29 | | | | % 63.67/9.29 | | | | BETA: splitting (56) gives: % 63.67/9.29 | | | | % 63.67/9.29 | | | | Case 1: % 63.67/9.29 | | | | | % 63.67/9.29 | | | | | (57) all_96_3 = all_65_2 & ~ elem(all_65_3, all_65_2) % 63.67/9.29 | | | | | % 63.67/9.29 | | | | | ALPHA: (57) implies: % 63.67/9.29 | | | | | (58) ~ elem(all_65_3, all_65_2) % 63.67/9.29 | | | | | % 63.67/9.29 | | | | | PRED_UNIFY: (55), (58) imply: % 63.67/9.29 | | | | | (59) $false % 63.67/9.29 | | | | | % 63.67/9.29 | | | | | CLOSE: (59) is inconsistent. % 63.67/9.29 | | | | | % 63.67/9.29 | | | | Case 2: % 63.67/9.29 | | | | | % 63.67/9.29 | | | | | (60) all_96_5 = all_65_5 & ~ (all_96_0 = all_96_4) & % 63.67/9.29 | | | | | host(all_65_7) = all_96_4 & $i(all_96_4) & leq(all_65_17, % 63.67/9.29 | | | | | all_96_0) & ~ leq(nbr_proc, all_96_0) & ~ setIn(all_96_0, % 63.67/9.29 | | | | | all_65_5) % 63.67/9.29 | | | | | % 63.67/9.29 | | | | | ALPHA: (60) implies: % 63.67/9.29 | | | | | (61) ~ (all_96_0 = all_96_4) % 63.67/9.29 | | | | | (62) ~ setIn(all_96_0, all_65_5) % 63.67/9.29 | | | | | (63) ~ leq(nbr_proc, all_96_0) % 63.67/9.29 | | | | | (64) leq(all_65_17, all_96_0) % 63.67/9.29 | | | | | (65) host(all_65_7) = all_96_4 % 63.67/9.29 | | | | | % 63.67/9.29 | | | | | REDUCE: (41), (64) imply: % 63.67/9.29 | | | | | (66) leq(all_50_0, all_96_0) % 63.67/9.29 | | | | | % 63.67/9.29 | | | | | BETA: splitting (48) gives: % 63.67/9.29 | | | | | % 63.67/9.29 | | | | | Case 1: % 63.67/9.29 | | | | | | % 63.67/9.29 | | | | | | (67) ~ (all_89_0 = nbr_proc) & host(all_65_7) = all_89_0 & % 63.67/9.29 | | | | | | $i(all_89_0) % 63.67/9.29 | | | | | | % 63.67/9.29 | | | | | | ALPHA: (67) implies: % 63.67/9.29 | | | | | | (68) host(all_65_7) = all_89_0 % 63.67/9.29 | | | | | | % 63.67/9.29 | | | | | | GROUND_INST: instantiating (6) with all_65_4, all_96_4, all_65_7, % 63.67/9.29 | | | | | | simplifying with (30), (65) gives: % 63.67/9.29 | | | | | | (69) all_96_4 = all_65_4 % 63.67/9.29 | | | | | | % 63.67/9.29 | | | | | | GROUND_INST: instantiating (6) with all_89_0, all_96_4, all_65_7, % 63.67/9.29 | | | | | | simplifying with (65), (68) gives: % 63.67/9.29 | | | | | | (70) all_96_4 = all_89_0 % 63.67/9.29 | | | | | | % 63.67/9.29 | | | | | | COMBINE_EQS: (69), (70) imply: % 63.67/9.29 | | | | | | (71) all_89_0 = all_65_4 % 63.67/9.29 | | | | | | % 63.67/9.29 | | | | | | REDUCE: (61), (69) imply: % 63.67/9.29 | | | | | | (72) ~ (all_96_0 = all_65_4) % 63.67/9.29 | | | | | | % 63.67/9.29 | | | | | | GROUND_INST: instantiating (37) with all_96_0, simplifying with % 63.67/9.29 | | | | | | (50), (62), (63) gives: % 63.67/9.29 | | | | | | (73) all_96_0 = all_65_4 | ~ leq(all_65_17, all_96_0) % 63.67/9.29 | | | | | | % 63.67/9.29 | | | | | | BETA: splitting (73) gives: % 63.67/9.29 | | | | | | % 63.67/9.29 | | | | | | Case 1: % 63.67/9.29 | | | | | | | % 63.67/9.29 | | | | | | | (74) ~ leq(all_65_17, all_96_0) % 63.67/9.29 | | | | | | | % 63.67/9.29 | | | | | | | REDUCE: (41), (74) imply: % 63.67/9.29 | | | | | | | (75) ~ leq(all_50_0, all_96_0) % 63.67/9.29 | | | | | | | % 63.67/9.29 | | | | | | | PRED_UNIFY: (66), (75) imply: % 63.67/9.29 | | | | | | | (76) $false % 63.67/9.29 | | | | | | | % 63.67/9.29 | | | | | | | CLOSE: (76) is inconsistent. % 63.67/9.29 | | | | | | | % 63.67/9.29 | | | | | | Case 2: % 63.67/9.29 | | | | | | | % 63.67/9.29 | | | | | | | (77) all_96_0 = all_65_4 % 63.67/9.29 | | | | | | | % 63.67/9.29 | | | | | | | REDUCE: (72), (77) imply: % 63.67/9.29 | | | | | | | (78) $false % 63.67/9.29 | | | | | | | % 63.67/9.29 | | | | | | | CLOSE: (78) is inconsistent. % 63.67/9.29 | | | | | | | % 63.67/9.29 | | | | | | End of split % 63.67/9.29 | | | | | | % 63.67/9.29 | | | | | Case 2: % 63.67/9.29 | | | | | | % 63.67/9.29 | | | | | | (79) queue(nbr_proc) = all_89_1 & $i(all_89_1) & ~ % 63.67/9.29 | | | | | | elem(all_65_3, all_89_1) % 63.67/9.29 | | | | | | % 63.67/9.29 | | | | | | ALPHA: (79) implies: % 63.67/9.29 | | | | | | (80) ~ elem(all_65_3, all_89_1) % 63.67/9.29 | | | | | | (81) queue(nbr_proc) = all_89_1 % 63.67/9.29 | | | | | | % 63.67/9.29 | | | | | | GROUND_INST: instantiating (5) with all_65_2, all_89_1, nbr_proc, % 63.67/9.29 | | | | | | simplifying with (25), (81) gives: % 63.67/9.29 | | | | | | (82) all_89_1 = all_65_2 % 63.67/9.29 | | | | | | % 63.67/9.29 | | | | | | PRED_UNIFY: (55), (80) imply: % 63.67/9.29 | | | | | | (83) ~ (all_89_1 = all_65_2) % 63.67/9.29 | | | | | | % 63.67/9.29 | | | | | | REDUCE: (82), (83) imply: % 63.67/9.29 | | | | | | (84) $false % 63.67/9.29 | | | | | | % 63.67/9.29 | | | | | | CLOSE: (84) is inconsistent. % 63.67/9.29 | | | | | | % 63.67/9.29 | | | | | End of split % 63.67/9.29 | | | | | % 63.67/9.29 | | | | End of split % 63.67/9.29 | | | | % 63.67/9.29 | | | Case 2: % 63.67/9.29 | | | | % 63.67/9.29 | | | | (85) ( ~ (all_96_2 = nbr_proc) & host(all_65_8) = all_96_2 & % 63.67/9.29 | | | | $i(all_96_2)) | (queue(all_65_13) = all_96_1 & $i(all_96_1) & % 63.67/9.29 | | | | ~ elem(all_65_0, all_96_1)) % 63.67/9.29 | | | | % 63.67/9.29 | | | | BETA: splitting (85) gives: % 63.67/9.29 | | | | % 63.67/9.29 | | | | Case 1: % 63.67/9.29 | | | | | % 63.67/9.29 | | | | | (86) ~ (all_96_2 = nbr_proc) & host(all_65_8) = all_96_2 & % 63.67/9.29 | | | | | $i(all_96_2) % 63.67/9.29 | | | | | % 63.67/9.29 | | | | | ALPHA: (86) implies: % 63.67/9.29 | | | | | (87) ~ (all_96_2 = nbr_proc) % 63.67/9.29 | | | | | (88) host(all_65_8) = all_96_2 % 63.67/9.29 | | | | | % 63.67/9.29 | | | | | GROUND_INST: instantiating (6) with nbr_proc, all_96_2, all_65_8, % 63.67/9.29 | | | | | simplifying with (29), (88) gives: % 63.67/9.29 | | | | | (89) all_96_2 = nbr_proc % 63.67/9.29 | | | | | % 63.67/9.29 | | | | | REDUCE: (87), (89) imply: % 63.67/9.29 | | | | | (90) $false % 63.67/9.29 | | | | | % 63.67/9.29 | | | | | CLOSE: (90) is inconsistent. % 63.67/9.29 | | | | | % 63.67/9.29 | | | | Case 2: % 63.67/9.29 | | | | | % 63.67/9.29 | | | | | (91) queue(all_65_13) = all_96_1 & $i(all_96_1) & ~ elem(all_65_0, % 63.67/9.29 | | | | | all_96_1) % 63.67/9.29 | | | | | % 63.67/9.29 | | | | | ALPHA: (91) implies: % 63.67/9.29 | | | | | (92) ~ elem(all_65_0, all_96_1) % 63.67/9.29 | | | | | (93) queue(all_65_13) = all_96_1 % 63.67/9.29 | | | | | % 63.67/9.29 | | | | | GROUND_INST: instantiating (5) with all_65_12, all_96_1, all_65_13, % 63.67/9.29 | | | | | simplifying with (26), (93) gives: % 63.67/9.29 | | | | | (94) all_96_1 = all_65_12 % 63.67/9.29 | | | | | % 63.67/9.29 | | | | | PRED_UNIFY: (46), (92) imply: % 63.67/9.29 | | | | | (95) ~ (all_96_1 = all_65_12) % 63.67/9.29 | | | | | % 63.67/9.29 | | | | | REDUCE: (94), (95) imply: % 63.67/9.29 | | | | | (96) $false % 63.67/9.29 | | | | | % 63.67/9.29 | | | | | CLOSE: (96) is inconsistent. % 63.67/9.29 | | | | | % 63.67/9.29 | | | | End of split % 63.67/9.29 | | | | % 63.67/9.29 | | | End of split % 63.67/9.29 | | | % 63.67/9.29 | | Case 2: % 63.67/9.29 | | | % 63.67/9.30 | | | (97) all_65_3 = all_65_10 % 63.67/9.30 | | | % 63.67/9.30 | | | REDUCE: (54), (97) imply: % 63.67/9.30 | | | (98) $false % 63.67/9.30 | | | % 63.67/9.30 | | | CLOSE: (98) is inconsistent. % 63.67/9.30 | | | % 63.67/9.30 | | End of split % 63.67/9.30 | | % 63.67/9.30 | End of split % 63.67/9.30 | % 63.67/9.30 End of proof % 63.67/9.30 % SZS output end Proof for theBenchmark % 63.67/9.30 % 63.67/9.30 8685ms %------------------------------------------------------------------------------