%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SWV450+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 : n007.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 22:56:32 EDT 2023 % Result : Theorem 27.42s 4.34s % Output : Proof 34.65s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SWV450+1 : TPTP v8.1.2. Released v4.0.0. % 0.11/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.12/0.33 % Computer : n007.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 08:05:58 EDT 2023 % 0.12/0.34 % CPUTime : % 0.61/0.59 ________ _____ % 0.61/0.59 ___ __ \_________(_)________________________________ % 0.61/0.59 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.61/0.59 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.61/0.59 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.61/0.59 % 0.61/0.59 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.61/0.59 (2023-06-19) % 0.61/0.59 % 0.61/0.59 (c) Philipp Rümmer, 2009-2023 % 0.61/0.59 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.61/0.59 Amanda Stjerna. % 0.61/0.59 Free software under BSD-3-Clause. % 0.61/0.59 % 0.61/0.59 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.61/0.59 % 0.61/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.64/0.60 Running up to 7 provers in parallel. % 0.64/0.62 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.64/0.62 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.64/0.62 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.64/0.62 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.64/0.62 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.64/0.62 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.64/0.62 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.66/1.22 Prover 1: Preprocessing ... % 3.80/1.23 Prover 4: Preprocessing ... % 3.80/1.26 Prover 0: Preprocessing ... % 3.80/1.26 Prover 5: Preprocessing ... % 3.80/1.26 Prover 2: Preprocessing ... % 3.80/1.26 Prover 6: Preprocessing ... % 3.80/1.26 Prover 3: Preprocessing ... % 9.35/2.02 Prover 6: Proving ... % 10.06/2.08 Prover 1: Constructing countermodel ... % 10.31/2.12 Prover 3: Constructing countermodel ... % 10.31/2.13 Prover 5: Proving ... % 10.31/2.13 Prover 4: Constructing countermodel ... % 10.31/2.18 Prover 2: Proving ... % 11.03/2.22 Prover 0: Proving ... % 15.67/2.89 Prover 3: gave up % 16.38/2.91 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 17.06/3.03 Prover 7: Preprocessing ... % 20.37/3.44 Prover 7: Warning: ignoring some quantifiers % 20.37/3.47 Prover 7: Constructing countermodel ... % 27.42/4.34 Prover 2: proved (3725ms) % 27.42/4.34 % 27.42/4.34 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 27.42/4.34 % 27.42/4.34 Prover 0: stopped % 27.42/4.34 Prover 6: stopped % 27.42/4.35 Prover 5: stopped % 27.42/4.35 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 27.42/4.35 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 27.42/4.35 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 27.42/4.35 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 27.42/4.40 Prover 8: Preprocessing ... % 28.16/4.43 Prover 11: Preprocessing ... % 28.16/4.45 Prover 13: Preprocessing ... % 28.16/4.48 Prover 10: Preprocessing ... % 29.36/4.58 Prover 8: Warning: ignoring some quantifiers % 29.42/4.59 Prover 8: Constructing countermodel ... % 29.72/4.63 Prover 13: Warning: ignoring some quantifiers % 29.72/4.64 Prover 13: Constructing countermodel ... % 29.72/4.66 Prover 10: Warning: ignoring some quantifiers % 29.72/4.69 Prover 10: Constructing countermodel ... % 29.72/4.69 Prover 11: Constructing countermodel ... % 34.04/5.19 Prover 10: Found proof (size 72) % 34.04/5.19 Prover 10: proved (850ms) % 34.04/5.19 Prover 7: stopped % 34.04/5.19 Prover 13: stopped % 34.04/5.19 Prover 11: stopped % 34.04/5.19 Prover 4: stopped % 34.04/5.19 Prover 8: stopped % 34.04/5.19 Prover 1: stopped % 34.04/5.19 % 34.04/5.19 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 34.04/5.19 % 34.16/5.20 % SZS output start Proof for theBenchmark % 34.16/5.20 Assumptions after simplification: % 34.16/5.20 --------------------------------- % 34.16/5.20 % 34.16/5.20 (axiom_18) % 34.24/5.23 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (m_Ldr(v1) = v2) | ~ % 34.24/5.23 (m_Down(v0) = v2) | ~ $i(v1) | ~ $i(v0)) % 34.24/5.23 % 34.24/5.23 (axiom_46) % 34.24/5.23 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 34.24/5.23 (cons(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ elem(v0, v3) | % 34.24/5.23 elem(v0, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 34.24/5.23 (cons(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ elem(v0, v2) | % 34.24/5.23 elem(v0, v3)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (cons(v0, v1) % 34.24/5.23 = v2) | ~ $i(v1) | ~ $i(v0) | elem(v0, v2)) % 34.24/5.23 % 34.24/5.23 (axiom_47) % 34.24/5.23 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 34.24/5.23 (snoc(v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ elem(v0, v3) | % 34.24/5.23 elem(v0, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 34.24/5.23 (snoc(v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ elem(v0, v2) | % 34.24/5.23 elem(v0, v3)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (snoc(v1, v0) % 34.24/5.23 = v2) | ~ $i(v1) | ~ $i(v0) | elem(v0, v2)) % 34.24/5.23 % 34.24/5.23 (conj) % 34.24/5.24 $i(acks) & $i(pendack) & $i(status) & $i(elid) & $i(alive) & $i(elec_2) & % 34.24/5.24 $i(nbr_proc) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: % 34.24/5.24 $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 34.24/5.24 ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? % 34.24/5.24 [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: $i] : ( ~ % 34.24/5.24 (v11 = v4) & index(acks, v4) = v8 & index(pendack, v4) = v7 & index(status, % 34.24/5.24 v4) = elec_2 & index(elid, v4) = v1 & snoc(v16, v9) = v17 & cons(v6, v0) = % 34.24/5.24 v5 & m_Ldr(v2) = v9 & m_Down(v18) = v19 & m_Down(v13) = v15 & m_Ack(v1, v3) % 34.24/5.24 = v6 & host(v18) = v11 & host(v14) = v11 & host(v13) = v4 & host(v12) = v4 & % 34.24/5.24 host(v10) = v11 & host(v3) = v7 & host(v2) = v4 & queue(v11) = v16 & % 34.24/5.24 queue(v4) = v5 & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & % 34.24/5.24 $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & % 34.24/5.24 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & leq(nbr_proc, v7) & % 34.24/5.24 setIn(v14, alive) & setIn(v12, alive) & setIn(v2, alive) & elem(v19, v0) & % 34.24/5.24 elem(v15, v17) & ! [v20: $i] : ! [v21: $i] : ! [v22: $i] : ! [v23: $i] : % 34.24/5.24 ! [v24: $i] : ! [v25: $i] : ! [v26: $i] : ! [v27: $i] : (v25 = v24 | ~ % 34.24/5.24 (m_Down(v23) = v26) | ~ (m_Down(v21) = v27) | ~ (host(v22) = v24) | ~ % 34.24/5.24 (host(v20) = v25) | ~ $i(v23) | ~ $i(v22) | ~ $i(v21) | ~ $i(v20) | ~ % 34.24/5.24 setIn(v22, alive) | ~ setIn(v20, alive) | ? [v28: $i] : ? [v29: $i] : % 34.24/5.24 ? [v30: $i] : ? [v31: $i] : (( ~ (v29 = v24) & host(v23) = v29 & $i(v29)) % 34.24/5.24 | ( ~ (v28 = v25) & host(v21) = v28 & $i(v28)) | (queue(v25) = v30 & % 34.24/5.24 $i(v30) & ~ elem(v26, v30)) | (queue(v24) = v31 & $i(v31) & ~ % 34.24/5.24 elem(v27, v31)))) & ! [v20: $i] : ! [v21: $i] : ! [v22: $i] : ! % 34.24/5.24 [v23: $i] : ! [v24: $i] : ( ~ (m_Ack(v22, v20) = v23) | ~ (host(v21) = % 34.24/5.24 v24) | ~ $i(v22) | ~ $i(v21) | ~ $i(v20) | ? [v25: $i] : ? [v26: % 34.24/5.24 $i] : ? [v27: $i] : ((host(v22) = v27 & host(v20) = v26 & $i(v27) & % 34.24/5.24 $i(v26) & ~ leq(v26, v27)) | (queue(v24) = v25 & $i(v25) & ~ % 34.24/5.24 elem(v23, v25)))) & ! [v20: $i] : ! [v21: $i] : ! [v22: $i] : ! % 34.24/5.24 [v23: $i] : ( ~ (m_Down(v21) = v22) | ~ (host(v20) = v23) | ~ $i(v21) | ~ % 34.24/5.24 $i(v20) | ~ setIn(v21, alive) | ? [v24: $i] : (queue(v23) = v24 & % 34.24/5.24 $i(v24) & ~ elem(v22, v24))) & ! [v20: $i] : ! [v21: $i] : ! [v22: % 34.24/5.24 $i] : ! [v23: $i] : ( ~ (m_Down(v21) = v22) | ~ (host(v20) = v23) | ~ % 34.24/5.24 $i(v21) | ~ $i(v20) | ? [v24: $i] : ? [v25: $i] : (( ~ (v25 = v23) & % 34.24/5.24 host(v21) = v25 & $i(v25)) | (queue(v23) = v24 & $i(v24) & ~ % 34.24/5.24 elem(v22, v24)))) & ! [v20: $i] : ! [v21: $i] : ! [v22: $i] : ! % 34.24/5.24 [v23: $i] : ( ~ (m_Halt(v21) = v22) | ~ (host(v20) = v23) | ~ $i(v21) | ~ % 34.24/5.24 $i(v20) | ? [v24: $i] : ? [v25: $i] : ((host(v21) = v25 & $i(v25) & ~ % 34.24/5.24 leq(v23, v25)) | (queue(v23) = v24 & $i(v24) & ~ elem(v22, v24)))) & % 34.24/5.24 ! [v20: $i] : ! [v21: $i] : ! [v22: $i] : (v21 = v20 | ~ (host(v21) = % 34.24/5.24 v22) | ~ (host(v20) = v22) | ~ $i(v21) | ~ $i(v20) | ~ setIn(v21, % 34.24/5.24 alive) | ~ setIn(v20, alive)) & ! [v20: $i] : ! [v21: $i] : ! [v22: % 34.24/5.24 $i] : ( ~ (host(v21) = v22) | ~ (host(v20) = v22) | ~ $i(v21) | ~ % 34.24/5.24 $i(v20) | ~ leq(v21, v20) | ~ setIn(v21, alive) | setIn(v20, alive)) & % 34.24/5.24 (v11 = v7 | setIn(v11, v8))) % 34.24/5.24 % 34.24/5.24 (function-axioms) % 34.24/5.25 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 34.24/5.25 (index(v3, v2) = v1) | ~ (index(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] % 34.24/5.25 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (snoc(v3, v2) = v1) | ~ (snoc(v3, % 34.24/5.25 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 % 34.24/5.25 = v0 | ~ (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0)) & ! [v0: $i] : ! % 34.24/5.25 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (m_Ack(v3, v2) = v1) | ~ % 34.24/5.25 (m_Ack(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | % 34.24/5.25 ~ (pidMsg(v2) = v1) | ~ (pidMsg(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : % 34.24/5.25 ! [v2: $i] : (v1 = v0 | ~ (init(v2) = v1) | ~ (init(v2) = v0)) & ! [v0: $i] % 34.24/5.25 : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (last(v2) = v1) | ~ (last(v2) = % 34.24/5.25 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (tail(v2) = % 34.24/5.25 v1) | ~ (tail(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 % 34.24/5.25 = v0 | ~ (head(v2) = v1) | ~ (head(v2) = v0)) & ! [v0: $i] : ! [v1: $i] % 34.24/5.25 : ! [v2: $i] : (v1 = v0 | ~ (m_NormQ(v2) = v1) | ~ (m_NormQ(v2) = v0)) & ! % 34.24/5.25 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (m_Ldr(v2) = v1) | ~ % 34.24/5.25 (m_Ldr(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 34.24/5.25 (m_NotNorm(v2) = v1) | ~ (m_NotNorm(v2) = v0)) & ! [v0: $i] : ! [v1: $i] % 34.24/5.25 : ! [v2: $i] : (v1 = v0 | ~ (m_Down(v2) = v1) | ~ (m_Down(v2) = v0)) & ! % 34.24/5.25 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (m_Halt(v2) = v1) | ~ % 34.24/5.25 (m_Halt(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 34.24/5.25 (s(v2) = v1) | ~ (s(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 34.24/5.25 (v1 = v0 | ~ (host(v2) = v1) | ~ (host(v2) = v0)) & ! [v0: $i] : ! [v1: % 34.24/5.25 $i] : ! [v2: $i] : (v1 = v0 | ~ (queue(v2) = v1) | ~ (queue(v2) = v0)) % 34.24/5.25 % 34.24/5.25 Further assumptions not needed in the proof: % 34.24/5.25 -------------------------------------------- % 34.24/5.25 axiom, axiom_01, axiom_02, axiom_03, axiom_04, axiom_05, axiom_06, axiom_07, % 34.24/5.25 axiom_08, axiom_09, axiom_10, axiom_11, axiom_12, axiom_13, axiom_14, axiom_15, % 34.24/5.25 axiom_16, axiom_17, axiom_19, axiom_20, axiom_21, axiom_22, axiom_23, axiom_24, % 34.24/5.25 axiom_25, axiom_26, axiom_27, axiom_28, axiom_29, axiom_30, axiom_31, axiom_32, % 34.24/5.25 axiom_33, axiom_34, axiom_35, axiom_36, axiom_37, axiom_38, axiom_39, axiom_40, % 34.24/5.25 axiom_41, axiom_42, axiom_43, axiom_44, axiom_45, axiom_48, axiom_49, axiom_50, % 34.24/5.25 axiom_51, axiom_52, axiom_53, axiom_54, axiom_55, axiom_56, axiom_57, axiom_58, % 34.24/5.25 axiom_59, axiom_60, axiom_61, axiom_62, axiom_63, axiom_64, axiom_65 % 34.24/5.25 % 34.24/5.25 Those formulas are unsatisfiable: % 34.24/5.25 --------------------------------- % 34.24/5.25 % 34.24/5.25 Begin of proof % 34.24/5.25 | % 34.24/5.25 | ALPHA: (axiom_46) implies: % 34.24/5.25 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (cons(v1, % 34.24/5.25 | v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ elem(v0, v2) | % 34.24/5.25 | elem(v0, v3)) % 34.24/5.25 | % 34.24/5.25 | ALPHA: (axiom_47) implies: % 34.24/5.25 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 34.24/5.25 | (snoc(v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ elem(v0, % 34.24/5.25 | v3) | elem(v0, v2)) % 34.24/5.25 | % 34.24/5.25 | ALPHA: (conj) implies: % 34.24/5.26 | (3) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 34.24/5.26 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? % 34.24/5.26 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : % 34.24/5.26 | ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: % 34.24/5.26 | $i] : ( ~ (v11 = v4) & index(acks, v4) = v8 & index(pendack, v4) = v7 % 34.24/5.26 | & index(status, v4) = elec_2 & index(elid, v4) = v1 & snoc(v16, v9) = % 34.24/5.26 | v17 & cons(v6, v0) = v5 & m_Ldr(v2) = v9 & m_Down(v18) = v19 & % 34.24/5.26 | m_Down(v13) = v15 & m_Ack(v1, v3) = v6 & host(v18) = v11 & host(v14) % 34.24/5.26 | = v11 & host(v13) = v4 & host(v12) = v4 & host(v10) = v11 & host(v3) % 34.24/5.26 | = v7 & host(v2) = v4 & queue(v11) = v16 & queue(v4) = v5 & $i(v19) & % 34.24/5.26 | $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & % 34.24/5.26 | $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & % 34.24/5.26 | $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & leq(nbr_proc, v7) & % 34.24/5.26 | setIn(v14, alive) & setIn(v12, alive) & setIn(v2, alive) & elem(v19, % 34.24/5.26 | v0) & elem(v15, v17) & ! [v20: $i] : ! [v21: $i] : ! [v22: $i] : % 34.24/5.26 | ! [v23: $i] : ! [v24: $i] : ! [v25: $i] : ! [v26: $i] : ! [v27: % 34.24/5.26 | $i] : (v25 = v24 | ~ (m_Down(v23) = v26) | ~ (m_Down(v21) = v27) % 34.24/5.26 | | ~ (host(v22) = v24) | ~ (host(v20) = v25) | ~ $i(v23) | ~ % 34.24/5.26 | $i(v22) | ~ $i(v21) | ~ $i(v20) | ~ setIn(v22, alive) | ~ % 34.24/5.26 | setIn(v20, alive) | ? [v28: $i] : ? [v29: $i] : ? [v30: $i] : ? % 34.24/5.26 | [v31: $i] : (( ~ (v29 = v24) & host(v23) = v29 & $i(v29)) | ( ~ % 34.24/5.26 | (v28 = v25) & host(v21) = v28 & $i(v28)) | (queue(v25) = v30 & % 34.24/5.26 | $i(v30) & ~ elem(v26, v30)) | (queue(v24) = v31 & $i(v31) & ~ % 34.24/5.26 | elem(v27, v31)))) & ! [v20: $i] : ! [v21: $i] : ! [v22: $i] % 34.24/5.26 | : ! [v23: $i] : ! [v24: $i] : ( ~ (m_Ack(v22, v20) = v23) | ~ % 34.24/5.26 | (host(v21) = v24) | ~ $i(v22) | ~ $i(v21) | ~ $i(v20) | ? [v25: % 34.24/5.26 | $i] : ? [v26: $i] : ? [v27: $i] : ((host(v22) = v27 & host(v20) % 34.24/5.26 | = v26 & $i(v27) & $i(v26) & ~ leq(v26, v27)) | (queue(v24) = % 34.24/5.26 | v25 & $i(v25) & ~ elem(v23, v25)))) & ! [v20: $i] : ! [v21: % 34.24/5.26 | $i] : ! [v22: $i] : ! [v23: $i] : ( ~ (m_Down(v21) = v22) | ~ % 34.24/5.26 | (host(v20) = v23) | ~ $i(v21) | ~ $i(v20) | ~ setIn(v21, alive) % 34.24/5.26 | | ? [v24: $i] : (queue(v23) = v24 & $i(v24) & ~ elem(v22, v24))) % 34.24/5.26 | & ! [v20: $i] : ! [v21: $i] : ! [v22: $i] : ! [v23: $i] : ( ~ % 34.24/5.26 | (m_Down(v21) = v22) | ~ (host(v20) = v23) | ~ $i(v21) | ~ % 34.24/5.26 | $i(v20) | ? [v24: $i] : ? [v25: $i] : (( ~ (v25 = v23) & % 34.24/5.26 | host(v21) = v25 & $i(v25)) | (queue(v23) = v24 & $i(v24) & ~ % 34.24/5.26 | elem(v22, v24)))) & ! [v20: $i] : ! [v21: $i] : ! [v22: $i] % 34.24/5.26 | : ! [v23: $i] : ( ~ (m_Halt(v21) = v22) | ~ (host(v20) = v23) | ~ % 34.24/5.26 | $i(v21) | ~ $i(v20) | ? [v24: $i] : ? [v25: $i] : ((host(v21) = % 34.24/5.26 | v25 & $i(v25) & ~ leq(v23, v25)) | (queue(v23) = v24 & $i(v24) % 34.24/5.26 | & ~ elem(v22, v24)))) & ! [v20: $i] : ! [v21: $i] : ! [v22: % 34.24/5.26 | $i] : (v21 = v20 | ~ (host(v21) = v22) | ~ (host(v20) = v22) | ~ % 34.24/5.26 | $i(v21) | ~ $i(v20) | ~ setIn(v21, alive) | ~ setIn(v20, alive)) % 34.24/5.26 | & ! [v20: $i] : ! [v21: $i] : ! [v22: $i] : ( ~ (host(v21) = v22) % 34.24/5.26 | | ~ (host(v20) = v22) | ~ $i(v21) | ~ $i(v20) | ~ leq(v21, v20) % 34.24/5.26 | | ~ setIn(v21, alive) | setIn(v20, alive)) & (v11 = v7 | % 34.24/5.26 | setIn(v11, v8))) % 34.24/5.26 | % 34.24/5.26 | ALPHA: (function-axioms) implies: % 34.24/5.26 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (queue(v2) = % 34.24/5.26 | v1) | ~ (queue(v2) = v0)) % 34.24/5.26 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (host(v2) = v1) % 34.24/5.26 | | ~ (host(v2) = v0)) % 34.24/5.26 | % 34.24/5.26 | DELTA: instantiating (3) with fresh symbols all_65_0, all_65_1, all_65_2, % 34.24/5.26 | all_65_3, all_65_4, all_65_5, all_65_6, all_65_7, all_65_8, all_65_9, % 34.24/5.26 | all_65_10, all_65_11, all_65_12, all_65_13, all_65_14, all_65_15, % 34.24/5.26 | all_65_16, all_65_17, all_65_18, all_65_19 gives: % 34.24/5.27 | (6) ~ (all_65_8 = all_65_15) & index(acks, all_65_15) = all_65_11 & % 34.24/5.27 | index(pendack, all_65_15) = all_65_12 & index(status, all_65_15) = % 34.24/5.27 | elec_2 & index(elid, all_65_15) = all_65_18 & snoc(all_65_3, all_65_10) % 34.24/5.27 | = all_65_2 & cons(all_65_13, all_65_19) = all_65_14 & m_Ldr(all_65_17) % 34.24/5.27 | = all_65_10 & m_Down(all_65_1) = all_65_0 & m_Down(all_65_6) = all_65_4 % 34.24/5.27 | & m_Ack(all_65_18, all_65_16) = all_65_13 & host(all_65_1) = all_65_8 & % 34.24/5.27 | host(all_65_5) = all_65_8 & host(all_65_6) = all_65_15 & host(all_65_7) % 34.24/5.27 | = all_65_15 & host(all_65_9) = all_65_8 & host(all_65_16) = all_65_12 & % 34.24/5.27 | host(all_65_17) = all_65_15 & queue(all_65_8) = all_65_3 & % 34.24/5.27 | queue(all_65_15) = all_65_14 & $i(all_65_0) & $i(all_65_1) & % 34.24/5.27 | $i(all_65_2) & $i(all_65_3) & $i(all_65_4) & $i(all_65_5) & % 34.24/5.27 | $i(all_65_6) & $i(all_65_7) & $i(all_65_8) & $i(all_65_9) & % 34.24/5.27 | $i(all_65_10) & $i(all_65_11) & $i(all_65_12) & $i(all_65_13) & % 34.24/5.27 | $i(all_65_14) & $i(all_65_15) & $i(all_65_16) & $i(all_65_17) & % 34.24/5.27 | $i(all_65_18) & $i(all_65_19) & leq(nbr_proc, all_65_12) & % 34.24/5.27 | setIn(all_65_5, alive) & setIn(all_65_7, alive) & setIn(all_65_17, % 34.24/5.27 | alive) & elem(all_65_0, all_65_19) & elem(all_65_4, all_65_2) & ! % 34.24/5.27 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! % 34.24/5.27 | [v5: $i] : ! [v6: $i] : ! [v7: $i] : (v5 = v4 | ~ (m_Down(v3) = v6) % 34.24/5.27 | | ~ (m_Down(v1) = v7) | ~ (host(v2) = v4) | ~ (host(v0) = v5) | ~ % 34.24/5.27 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v2, alive) | ~ % 34.24/5.27 | setIn(v0, alive) | ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? % 34.24/5.27 | [v11: $i] : (( ~ (v9 = v4) & host(v3) = v9 & $i(v9)) | ( ~ (v8 = v5) % 34.24/5.27 | & host(v1) = v8 & $i(v8)) | (queue(v5) = v10 & $i(v10) & ~ % 34.24/5.27 | elem(v6, v10)) | (queue(v4) = v11 & $i(v11) & ~ elem(v7, v11)))) % 34.24/5.27 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 34.24/5.27 | ( ~ (m_Ack(v2, v0) = v3) | ~ (host(v1) = v4) | ~ $i(v2) | ~ $i(v1) | % 34.24/5.27 | ~ $i(v0) | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ((host(v2) = v7 % 34.24/5.27 | & host(v0) = v6 & $i(v7) & $i(v6) & ~ leq(v6, v7)) | (queue(v4) % 34.24/5.27 | = v5 & $i(v5) & ~ elem(v3, v5)))) & ! [v0: $i] : ! [v1: $i] : % 34.24/5.27 | ! [v2: $i] : ! [v3: $i] : ( ~ (m_Down(v1) = v2) | ~ (host(v0) = v3) | % 34.24/5.27 | ~ $i(v1) | ~ $i(v0) | ~ setIn(v1, alive) | ? [v4: $i] : % 34.24/5.27 | (queue(v3) = v4 & $i(v4) & ~ elem(v2, v4))) & ! [v0: $i] : ! [v1: % 34.24/5.27 | $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (m_Down(v1) = v2) | ~ % 34.24/5.27 | (host(v0) = v3) | ~ $i(v1) | ~ $i(v0) | ? [v4: $i] : ? [v5: $i] : % 34.24/5.27 | (( ~ (v5 = v3) & host(v1) = v5 & $i(v5)) | (queue(v3) = v4 & $i(v4) & % 34.24/5.27 | ~ elem(v2, v4)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 34.24/5.27 | [v3: $i] : ( ~ (m_Halt(v1) = v2) | ~ (host(v0) = v3) | ~ $i(v1) | ~ % 34.24/5.27 | $i(v0) | ? [v4: $i] : ? [v5: $i] : ((host(v1) = v5 & $i(v5) & ~ % 34.24/5.27 | leq(v3, v5)) | (queue(v3) = v4 & $i(v4) & ~ elem(v2, v4)))) & ! % 34.24/5.27 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (host(v1) = v2) | % 34.24/5.27 | ~ (host(v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v1, alive) | ~ % 34.24/5.27 | setIn(v0, alive)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 34.24/5.27 | (host(v1) = v2) | ~ (host(v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~ % 34.24/5.27 | leq(v1, v0) | ~ setIn(v1, alive) | setIn(v0, alive)) & (all_65_8 = % 34.24/5.27 | all_65_12 | setIn(all_65_8, all_65_11)) % 34.24/5.27 | % 34.24/5.27 | ALPHA: (6) implies: % 34.24/5.27 | (7) ~ (all_65_8 = all_65_15) % 34.24/5.27 | (8) elem(all_65_4, all_65_2) % 34.24/5.27 | (9) elem(all_65_0, all_65_19) % 34.24/5.27 | (10) setIn(all_65_17, alive) % 34.24/5.27 | (11) setIn(all_65_7, alive) % 34.24/5.27 | (12) setIn(all_65_5, alive) % 34.24/5.27 | (13) $i(all_65_19) % 34.24/5.27 | (14) $i(all_65_17) % 34.24/5.27 | (15) $i(all_65_13) % 34.24/5.27 | (16) $i(all_65_10) % 34.24/5.27 | (17) $i(all_65_9) % 34.24/5.27 | (18) $i(all_65_7) % 34.24/5.27 | (19) $i(all_65_6) % 34.24/5.27 | (20) $i(all_65_5) % 34.24/5.27 | (21) $i(all_65_4) % 34.24/5.27 | (22) $i(all_65_3) % 34.24/5.27 | (23) $i(all_65_1) % 34.24/5.27 | (24) $i(all_65_0) % 34.24/5.27 | (25) queue(all_65_15) = all_65_14 % 34.24/5.27 | (26) queue(all_65_8) = all_65_3 % 34.24/5.27 | (27) host(all_65_17) = all_65_15 % 34.24/5.27 | (28) host(all_65_9) = all_65_8 % 34.24/5.27 | (29) host(all_65_7) = all_65_15 % 34.24/5.27 | (30) host(all_65_6) = all_65_15 % 34.24/5.27 | (31) host(all_65_5) = all_65_8 % 34.24/5.27 | (32) host(all_65_1) = all_65_8 % 34.24/5.27 | (33) m_Down(all_65_6) = all_65_4 % 34.24/5.27 | (34) m_Down(all_65_1) = all_65_0 % 34.24/5.27 | (35) m_Ldr(all_65_17) = all_65_10 % 34.24/5.27 | (36) cons(all_65_13, all_65_19) = all_65_14 % 34.24/5.27 | (37) snoc(all_65_3, all_65_10) = all_65_2 % 34.24/5.27 | (38) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (host(v1) = % 34.24/5.27 | v2) | ~ (host(v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v1, % 34.24/5.27 | alive) | ~ setIn(v0, alive)) % 34.24/5.27 | (39) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 34.24/5.27 | (m_Down(v1) = v2) | ~ (host(v0) = v3) | ~ $i(v1) | ~ $i(v0) | ? % 34.24/5.27 | [v4: $i] : ? [v5: $i] : (( ~ (v5 = v3) & host(v1) = v5 & $i(v5)) | % 34.24/5.27 | (queue(v3) = v4 & $i(v4) & ~ elem(v2, v4)))) % 34.24/5.27 | (40) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 34.24/5.27 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : (v5 = v4 | ~ (m_Down(v3) = % 34.24/5.27 | v6) | ~ (m_Down(v1) = v7) | ~ (host(v2) = v4) | ~ (host(v0) = % 34.24/5.27 | v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v2, % 34.24/5.27 | alive) | ~ setIn(v0, alive) | ? [v8: $i] : ? [v9: $i] : ? % 34.24/5.27 | [v10: $i] : ? [v11: $i] : (( ~ (v9 = v4) & host(v3) = v9 & $i(v9)) % 34.24/5.28 | | ( ~ (v8 = v5) & host(v1) = v8 & $i(v8)) | (queue(v5) = v10 & % 34.24/5.28 | $i(v10) & ~ elem(v6, v10)) | (queue(v4) = v11 & $i(v11) & ~ % 34.24/5.28 | elem(v7, v11)))) % 34.24/5.28 | % 34.24/5.28 | GROUND_INST: instantiating (38) with all_65_17, all_65_7, all_65_15, % 34.24/5.28 | simplifying with (10), (11), (14), (18), (27), (29) gives: % 34.24/5.28 | (41) all_65_7 = all_65_17 % 34.24/5.28 | % 34.24/5.28 | GROUND_INST: instantiating (39) with all_65_17, all_65_6, all_65_4, all_65_15, % 34.24/5.28 | simplifying with (14), (19), (27), (33) gives: % 34.24/5.28 | (42) ? [v0: $i] : ? [v1: any] : (( ~ (v1 = all_65_15) & host(all_65_6) = % 34.24/5.28 | v1 & $i(v1)) | (queue(all_65_15) = v0 & $i(v0) & ~ elem(all_65_4, % 34.24/5.28 | v0))) % 34.24/5.28 | % 34.24/5.28 | GROUND_INST: instantiating (40) with all_65_17, all_65_6, all_65_5, all_65_1, % 34.24/5.28 | all_65_8, all_65_15, all_65_0, all_65_4, simplifying with (10), % 34.24/5.28 | (12), (14), (19), (20), (23), (27), (31), (33), (34) gives: % 34.24/5.28 | (43) all_65_8 = all_65_15 | ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? % 34.24/5.28 | [v3: $i] : (( ~ (v1 = all_65_8) & host(all_65_1) = v1 & $i(v1)) | ( ~ % 34.24/5.28 | (v0 = all_65_15) & host(all_65_6) = v0 & $i(v0)) | % 34.24/5.28 | (queue(all_65_8) = v3 & $i(v3) & ~ elem(all_65_4, v3)) | % 34.24/5.28 | (queue(all_65_15) = v2 & $i(v2) & ~ elem(all_65_0, v2))) % 34.24/5.28 | % 34.24/5.28 | GROUND_INST: instantiating (39) with all_65_9, all_65_1, all_65_0, all_65_8, % 34.24/5.28 | simplifying with (17), (23), (28), (34) gives: % 34.24/5.28 | (44) ? [v0: $i] : ? [v1: any] : (( ~ (v1 = all_65_8) & host(all_65_1) = % 34.24/5.28 | v1 & $i(v1)) | (queue(all_65_8) = v0 & $i(v0) & ~ elem(all_65_0, % 34.24/5.28 | v0))) % 34.24/5.28 | % 34.24/5.28 | GROUND_INST: instantiating (1) with all_65_0, all_65_13, all_65_19, all_65_14, % 34.24/5.28 | simplifying with (9), (13), (15), (24), (36) gives: % 34.24/5.28 | (45) elem(all_65_0, all_65_14) % 34.24/5.28 | % 34.24/5.28 | GROUND_INST: instantiating (2) with all_65_4, all_65_10, all_65_3, all_65_2, % 34.24/5.28 | simplifying with (8), (16), (21), (22), (37) gives: % 34.24/5.28 | (46) all_65_4 = all_65_10 | elem(all_65_4, all_65_3) % 34.24/5.28 | % 34.24/5.28 | DELTA: instantiating (42) with fresh symbols all_87_0, all_87_1 gives: % 34.24/5.28 | (47) ( ~ (all_87_0 = all_65_15) & host(all_65_6) = all_87_0 & $i(all_87_0)) % 34.24/5.28 | | (queue(all_65_15) = all_87_1 & $i(all_87_1) & ~ elem(all_65_4, % 34.24/5.28 | all_87_1)) % 34.24/5.28 | % 34.24/5.28 | DELTA: instantiating (44) with fresh symbols all_89_0, all_89_1 gives: % 34.24/5.28 | (48) ( ~ (all_89_0 = all_65_8) & host(all_65_1) = all_89_0 & $i(all_89_0)) % 34.24/5.28 | | (queue(all_65_8) = all_89_1 & $i(all_89_1) & ~ elem(all_65_0, % 34.24/5.28 | all_89_1)) % 34.24/5.28 | % 34.24/5.28 | BETA: splitting (47) gives: % 34.24/5.28 | % 34.24/5.28 | Case 1: % 34.24/5.28 | | % 34.24/5.28 | | (49) ~ (all_87_0 = all_65_15) & host(all_65_6) = all_87_0 & $i(all_87_0) % 34.24/5.28 | | % 34.24/5.28 | | ALPHA: (49) implies: % 34.24/5.28 | | (50) ~ (all_87_0 = all_65_15) % 34.24/5.28 | | (51) host(all_65_6) = all_87_0 % 34.24/5.28 | | % 34.24/5.28 | | GROUND_INST: instantiating (5) with all_65_15, all_87_0, all_65_6, % 34.24/5.28 | | simplifying with (30), (51) gives: % 34.24/5.28 | | (52) all_87_0 = all_65_15 % 34.24/5.28 | | % 34.24/5.28 | | REDUCE: (50), (52) imply: % 34.24/5.29 | | (53) $false % 34.24/5.29 | | % 34.24/5.29 | | CLOSE: (53) is inconsistent. % 34.24/5.29 | | % 34.24/5.29 | Case 2: % 34.24/5.29 | | % 34.24/5.29 | | (54) queue(all_65_15) = all_87_1 & $i(all_87_1) & ~ elem(all_65_4, % 34.24/5.29 | | all_87_1) % 34.24/5.29 | | % 34.24/5.29 | | ALPHA: (54) implies: % 34.24/5.29 | | (55) queue(all_65_15) = all_87_1 % 34.24/5.29 | | % 34.24/5.29 | | BETA: splitting (48) gives: % 34.24/5.29 | | % 34.24/5.29 | | Case 1: % 34.24/5.29 | | | % 34.24/5.29 | | | (56) ~ (all_89_0 = all_65_8) & host(all_65_1) = all_89_0 & % 34.24/5.29 | | | $i(all_89_0) % 34.24/5.29 | | | % 34.24/5.29 | | | ALPHA: (56) implies: % 34.24/5.29 | | | (57) ~ (all_89_0 = all_65_8) % 34.24/5.29 | | | (58) host(all_65_1) = all_89_0 % 34.24/5.29 | | | % 34.24/5.29 | | | GROUND_INST: instantiating (5) with all_65_8, all_89_0, all_65_1, % 34.24/5.29 | | | simplifying with (32), (58) gives: % 34.24/5.29 | | | (59) all_89_0 = all_65_8 % 34.24/5.29 | | | % 34.24/5.29 | | | REDUCE: (57), (59) imply: % 34.24/5.29 | | | (60) $false % 34.24/5.29 | | | % 34.24/5.29 | | | CLOSE: (60) is inconsistent. % 34.24/5.29 | | | % 34.24/5.29 | | Case 2: % 34.24/5.29 | | | % 34.24/5.29 | | | (61) queue(all_65_8) = all_89_1 & $i(all_89_1) & ~ elem(all_65_0, % 34.24/5.29 | | | all_89_1) % 34.24/5.29 | | | % 34.24/5.29 | | | ALPHA: (61) implies: % 34.24/5.29 | | | (62) queue(all_65_8) = all_89_1 % 34.24/5.29 | | | % 34.24/5.29 | | | BETA: splitting (43) gives: % 34.24/5.29 | | | % 34.24/5.29 | | | Case 1: % 34.24/5.29 | | | | % 34.24/5.29 | | | | (63) all_65_8 = all_65_15 % 34.24/5.29 | | | | % 34.24/5.29 | | | | REDUCE: (7), (63) imply: % 34.24/5.29 | | | | (64) $false % 34.24/5.29 | | | | % 34.24/5.29 | | | | CLOSE: (64) is inconsistent. % 34.24/5.29 | | | | % 34.24/5.29 | | | Case 2: % 34.24/5.29 | | | | % 34.24/5.29 | | | | (65) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: $i] : (( ~ % 34.24/5.29 | | | | (v1 = all_65_8) & host(all_65_1) = v1 & $i(v1)) | ( ~ (v0 = % 34.24/5.29 | | | | all_65_15) & host(all_65_6) = v0 & $i(v0)) | % 34.24/5.29 | | | | (queue(all_65_8) = v3 & $i(v3) & ~ elem(all_65_4, v3)) | % 34.24/5.29 | | | | (queue(all_65_15) = v2 & $i(v2) & ~ elem(all_65_0, v2))) % 34.24/5.29 | | | | % 34.24/5.29 | | | | DELTA: instantiating (65) with fresh symbols all_125_0, all_125_1, % 34.24/5.29 | | | | all_125_2, all_125_3 gives: % 34.24/5.29 | | | | (66) ( ~ (all_125_2 = all_65_8) & host(all_65_1) = all_125_2 & % 34.24/5.29 | | | | $i(all_125_2)) | ( ~ (all_125_3 = all_65_15) & host(all_65_6) % 34.24/5.29 | | | | = all_125_3 & $i(all_125_3)) | (queue(all_65_8) = all_125_0 & % 34.24/5.29 | | | | $i(all_125_0) & ~ elem(all_65_4, all_125_0)) | % 34.24/5.29 | | | | (queue(all_65_15) = all_125_1 & $i(all_125_1) & ~ % 34.24/5.29 | | | | elem(all_65_0, all_125_1)) % 34.24/5.29 | | | | % 34.24/5.29 | | | | BETA: splitting (66) gives: % 34.24/5.29 | | | | % 34.24/5.29 | | | | Case 1: % 34.24/5.29 | | | | | % 34.24/5.29 | | | | | (67) ( ~ (all_125_2 = all_65_8) & host(all_65_1) = all_125_2 & % 34.24/5.29 | | | | | $i(all_125_2)) | ( ~ (all_125_3 = all_65_15) & % 34.24/5.29 | | | | | host(all_65_6) = all_125_3 & $i(all_125_3)) % 34.24/5.29 | | | | | % 34.24/5.29 | | | | | BETA: splitting (67) gives: % 34.24/5.29 | | | | | % 34.24/5.29 | | | | | Case 1: % 34.24/5.29 | | | | | | % 34.24/5.29 | | | | | | (68) ~ (all_125_2 = all_65_8) & host(all_65_1) = all_125_2 & % 34.24/5.29 | | | | | | $i(all_125_2) % 34.24/5.29 | | | | | | % 34.24/5.29 | | | | | | ALPHA: (68) implies: % 34.24/5.29 | | | | | | (69) ~ (all_125_2 = all_65_8) % 34.24/5.29 | | | | | | (70) host(all_65_1) = all_125_2 % 34.24/5.29 | | | | | | % 34.24/5.29 | | | | | | GROUND_INST: instantiating (5) with all_65_8, all_125_2, all_65_1, % 34.24/5.29 | | | | | | simplifying with (32), (70) gives: % 34.24/5.29 | | | | | | (71) all_125_2 = all_65_8 % 34.24/5.29 | | | | | | % 34.24/5.29 | | | | | | REDUCE: (69), (71) imply: % 34.24/5.29 | | | | | | (72) $false % 34.24/5.29 | | | | | | % 34.24/5.29 | | | | | | CLOSE: (72) is inconsistent. % 34.24/5.29 | | | | | | % 34.24/5.29 | | | | | Case 2: % 34.24/5.29 | | | | | | % 34.24/5.29 | | | | | | (73) ~ (all_125_3 = all_65_15) & host(all_65_6) = all_125_3 & % 34.24/5.29 | | | | | | $i(all_125_3) % 34.24/5.29 | | | | | | % 34.24/5.29 | | | | | | ALPHA: (73) implies: % 34.24/5.29 | | | | | | (74) ~ (all_125_3 = all_65_15) % 34.24/5.29 | | | | | | (75) host(all_65_6) = all_125_3 % 34.24/5.29 | | | | | | % 34.24/5.29 | | | | | | GROUND_INST: instantiating (5) with all_65_15, all_125_3, all_65_6, % 34.24/5.29 | | | | | | simplifying with (30), (75) gives: % 34.24/5.29 | | | | | | (76) all_125_3 = all_65_15 % 34.24/5.29 | | | | | | % 34.24/5.29 | | | | | | REDUCE: (74), (76) imply: % 34.24/5.29 | | | | | | (77) $false % 34.24/5.29 | | | | | | % 34.24/5.29 | | | | | | CLOSE: (77) is inconsistent. % 34.24/5.29 | | | | | | % 34.24/5.29 | | | | | End of split % 34.24/5.29 | | | | | % 34.24/5.29 | | | | Case 2: % 34.24/5.29 | | | | | % 34.24/5.29 | | | | | (78) (queue(all_65_8) = all_125_0 & $i(all_125_0) & ~ % 34.24/5.29 | | | | | elem(all_65_4, all_125_0)) | (queue(all_65_15) = all_125_1 & % 34.24/5.29 | | | | | $i(all_125_1) & ~ elem(all_65_0, all_125_1)) % 34.24/5.29 | | | | | % 34.24/5.29 | | | | | BETA: splitting (78) gives: % 34.24/5.29 | | | | | % 34.24/5.29 | | | | | Case 1: % 34.24/5.29 | | | | | | % 34.24/5.29 | | | | | | (79) queue(all_65_8) = all_125_0 & $i(all_125_0) & ~ % 34.24/5.29 | | | | | | elem(all_65_4, all_125_0) % 34.24/5.29 | | | | | | % 34.24/5.29 | | | | | | ALPHA: (79) implies: % 34.24/5.29 | | | | | | (80) ~ elem(all_65_4, all_125_0) % 34.24/5.29 | | | | | | (81) queue(all_65_8) = all_125_0 % 34.24/5.29 | | | | | | % 34.24/5.29 | | | | | | GROUND_INST: instantiating (4) with all_65_3, all_125_0, all_65_8, % 34.24/5.29 | | | | | | simplifying with (26), (81) gives: % 34.24/5.29 | | | | | | (82) all_125_0 = all_65_3 % 34.24/5.29 | | | | | | % 34.24/5.29 | | | | | | GROUND_INST: instantiating (4) with all_89_1, all_125_0, all_65_8, % 34.24/5.29 | | | | | | simplifying with (62), (81) gives: % 34.24/5.30 | | | | | | (83) all_125_0 = all_89_1 % 34.24/5.30 | | | | | | % 34.24/5.30 | | | | | | COMBINE_EQS: (82), (83) imply: % 34.24/5.30 | | | | | | (84) all_89_1 = all_65_3 % 34.24/5.30 | | | | | | % 34.24/5.30 | | | | | | REDUCE: (80), (82) imply: % 34.24/5.30 | | | | | | (85) ~ elem(all_65_4, all_65_3) % 34.24/5.30 | | | | | | % 34.24/5.30 | | | | | | BETA: splitting (46) gives: % 34.24/5.30 | | | | | | % 34.24/5.30 | | | | | | Case 1: % 34.24/5.30 | | | | | | | % 34.24/5.30 | | | | | | | (86) elem(all_65_4, all_65_3) % 34.24/5.30 | | | | | | | % 34.24/5.30 | | | | | | | PRED_UNIFY: (85), (86) imply: % 34.24/5.30 | | | | | | | (87) $false % 34.24/5.30 | | | | | | | % 34.24/5.30 | | | | | | | CLOSE: (87) is inconsistent. % 34.24/5.30 | | | | | | | % 34.24/5.30 | | | | | | Case 2: % 34.24/5.30 | | | | | | | % 34.24/5.30 | | | | | | | (88) all_65_4 = all_65_10 % 34.24/5.30 | | | | | | | % 34.24/5.30 | | | | | | | REDUCE: (33), (88) imply: % 34.24/5.30 | | | | | | | (89) m_Down(all_65_6) = all_65_10 % 34.24/5.30 | | | | | | | % 34.24/5.30 | | | | | | | GROUND_INST: instantiating (axiom_18) with all_65_6, all_65_17, % 34.24/5.30 | | | | | | | all_65_10, simplifying with (14), (19), (35), (89) % 34.65/5.30 | | | | | | | gives: % 34.65/5.30 | | | | | | | (90) $false % 34.65/5.30 | | | | | | | % 34.65/5.30 | | | | | | | CLOSE: (90) is inconsistent. % 34.65/5.30 | | | | | | | % 34.65/5.30 | | | | | | End of split % 34.65/5.30 | | | | | | % 34.65/5.30 | | | | | Case 2: % 34.65/5.30 | | | | | | % 34.65/5.30 | | | | | | (91) queue(all_65_15) = all_125_1 & $i(all_125_1) & ~ % 34.65/5.30 | | | | | | elem(all_65_0, all_125_1) % 34.65/5.30 | | | | | | % 34.65/5.30 | | | | | | ALPHA: (91) implies: % 34.65/5.30 | | | | | | (92) ~ elem(all_65_0, all_125_1) % 34.65/5.30 | | | | | | (93) queue(all_65_15) = all_125_1 % 34.65/5.30 | | | | | | % 34.65/5.30 | | | | | | GROUND_INST: instantiating (4) with all_65_14, all_125_1, all_65_15, % 34.65/5.30 | | | | | | simplifying with (25), (93) gives: % 34.65/5.30 | | | | | | (94) all_125_1 = all_65_14 % 34.65/5.30 | | | | | | % 34.65/5.30 | | | | | | GROUND_INST: instantiating (4) with all_87_1, all_125_1, all_65_15, % 34.65/5.30 | | | | | | simplifying with (55), (93) gives: % 34.65/5.30 | | | | | | (95) all_125_1 = all_87_1 % 34.65/5.30 | | | | | | % 34.65/5.30 | | | | | | COMBINE_EQS: (94), (95) imply: % 34.65/5.30 | | | | | | (96) all_87_1 = all_65_14 % 34.65/5.30 | | | | | | % 34.65/5.30 | | | | | | REDUCE: (92), (94) imply: % 34.65/5.30 | | | | | | (97) ~ elem(all_65_0, all_65_14) % 34.65/5.30 | | | | | | % 34.65/5.30 | | | | | | PRED_UNIFY: (45), (97) imply: % 34.65/5.30 | | | | | | (98) $false % 34.65/5.30 | | | | | | % 34.65/5.30 | | | | | | CLOSE: (98) is inconsistent. % 34.65/5.30 | | | | | | % 34.65/5.30 | | | | | End of split % 34.65/5.30 | | | | | % 34.65/5.30 | | | | End of split % 34.65/5.30 | | | | % 34.65/5.30 | | | End of split % 34.65/5.30 | | | % 34.65/5.30 | | End of split % 34.65/5.30 | | % 34.65/5.30 | End of split % 34.65/5.30 | % 34.65/5.30 End of proof % 34.65/5.30 % SZS output end Proof for theBenchmark % 34.65/5.30 % 34.65/5.30 4706ms %------------------------------------------------------------------------------