TSTP Solution File: SWV455+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SWV455+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 : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 22:56:33 EDT 2023
% Result : Theorem 34.84s 5.41s
% Output : Proof 42.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV455+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 04:16:08 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.61 ________ _____
% 0.20/0.61 ___ __ \_________(_)________________________________
% 0.20/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.61
% 0.20/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.61 (2023-06-19)
% 0.20/0.61
% 0.20/0.61 (c) Philipp Rümmer, 2009-2023
% 0.20/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.61 Amanda Stjerna.
% 0.20/0.61 Free software under BSD-3-Clause.
% 0.20/0.61
% 0.20/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.61
% 0.20/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.20/0.62 Running up to 7 provers in parallel.
% 0.20/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.61/1.22 Prover 4: Preprocessing ...
% 3.61/1.22 Prover 1: Preprocessing ...
% 3.61/1.27 Prover 6: Preprocessing ...
% 3.61/1.27 Prover 2: Preprocessing ...
% 3.61/1.27 Prover 0: Preprocessing ...
% 3.61/1.27 Prover 3: Preprocessing ...
% 3.61/1.27 Prover 5: Preprocessing ...
% 10.08/2.13 Prover 1: Constructing countermodel ...
% 10.48/2.18 Prover 3: Constructing countermodel ...
% 10.48/2.27 Prover 4: Constructing countermodel ...
% 10.48/2.27 Prover 6: Proving ...
% 10.48/2.27 Prover 5: Proving ...
% 10.48/2.31 Prover 2: Proving ...
% 10.48/2.33 Prover 0: Proving ...
% 17.31/3.12 Prover 3: gave up
% 17.31/3.14 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 18.14/3.20 Prover 7: Preprocessing ...
% 20.36/3.50 Prover 7: Warning: ignoring some quantifiers
% 20.40/3.52 Prover 7: Constructing countermodel ...
% 34.84/5.41 Prover 2: proved (4778ms)
% 34.84/5.41
% 34.84/5.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 34.84/5.41
% 34.84/5.41 Prover 0: stopped
% 34.84/5.43 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 34.84/5.43 Prover 6: stopped
% 34.84/5.44 Prover 5: stopped
% 34.84/5.44 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 34.84/5.44 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 34.84/5.44 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 35.41/5.47 Prover 8: Preprocessing ...
% 35.41/5.50 Prover 10: Preprocessing ...
% 35.73/5.51 Prover 13: Preprocessing ...
% 35.98/5.55 Prover 11: Preprocessing ...
% 36.69/5.65 Prover 8: Warning: ignoring some quantifiers
% 36.69/5.66 Prover 10: Warning: ignoring some quantifiers
% 36.69/5.66 Prover 10: Constructing countermodel ...
% 36.69/5.67 Prover 8: Constructing countermodel ...
% 37.15/5.69 Prover 13: Warning: ignoring some quantifiers
% 37.15/5.70 Prover 13: Constructing countermodel ...
% 37.15/5.84 Prover 11: Constructing countermodel ...
% 41.36/6.28 Prover 1: gave up
% 41.36/6.28 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 42.01/6.32 Prover 16: Preprocessing ...
% 42.01/6.32 Prover 10: Found proof (size 58)
% 42.01/6.33 Prover 10: proved (899ms)
% 42.01/6.33 Prover 4: stopped
% 42.01/6.33 Prover 11: stopped
% 42.01/6.33 Prover 7: stopped
% 42.01/6.33 Prover 13: stopped
% 42.01/6.33 Prover 8: stopped
% 42.01/6.37 Prover 16: stopped
% 42.01/6.37
% 42.01/6.37 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 42.01/6.37
% 42.01/6.37 % SZS output start Proof for theBenchmark
% 42.01/6.38 Assumptions after simplification:
% 42.01/6.38 ---------------------------------
% 42.01/6.38
% 42.01/6.38 (axiom_46)
% 42.01/6.40 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 42.01/6.40 (cons(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ elem(v0, v3) |
% 42.01/6.40 elem(v0, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 42.01/6.40 (cons(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ elem(v0, v2) |
% 42.01/6.40 elem(v0, v3)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (cons(v0, v1)
% 42.01/6.40 = v2) | ~ $i(v1) | ~ $i(v0) | elem(v0, v2))
% 42.01/6.40
% 42.01/6.40 (conj)
% 42.01/6.42 $i(down) & $i(elid) & $i(status) & $i(ldr) & $i(alive) & $i(norm) & $i(wait) &
% 42.01/6.42 $i(elec_1) & $i(zero) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i]
% 42.01/6.42 : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ?
% 42.01/6.42 [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ?
% 42.01/6.42 [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 42.01/6.42 [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ( ~ (v15 = v5) &
% 42.01/6.42 cons(v7, v1) = v6 & m_Down(v20) = v21 & m_Down(v17) = v19 & m_Down(v4) = v7
% 42.01/6.42 & s(zero) = v0 & host(v20) = v5 & host(v18) = v5 & host(v17) = v15 &
% 42.01/6.42 host(v14) = v15 & host(v4) = v8 & host(v3) = v5 & queue(v15) = v16 &
% 42.01/6.42 queue(v5) = v6 & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) &
% 42.01/6.42 $i(v16) & $i(v15) & $i(v14) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 42.01/6.42 $i(v3) & $i(v2) & $i(v1) & $i(v0) & setIn(v18, alive) & setIn(v14, alive) &
% 42.01/6.42 setIn(v3, alive) & elem(v21, v16) & elem(v19, v1) & ~ leq(v5, v8) & !
% 42.01/6.42 [v23: $i] : ! [v24: $i] : ! [v25: $i] : ! [v26: $i] : ! [v27: $i] : !
% 42.01/6.42 [v28: $i] : ! [v29: $i] : ! [v30: $i] : (v28 = v27 | ~ (m_Down(v26) =
% 42.01/6.42 v29) | ~ (m_Down(v24) = v30) | ~ (host(v25) = v27) | ~ (host(v23) =
% 42.01/6.42 v28) | ~ $i(v26) | ~ $i(v25) | ~ $i(v24) | ~ $i(v23) | ~ setIn(v25,
% 42.01/6.42 alive) | ~ setIn(v23, alive) | ? [v31: $i] : ? [v32: $i] : ? [v33:
% 42.01/6.42 $i] : ? [v34: $i] : (( ~ (v32 = v27) & host(v26) = v32 & $i(v32)) | ( ~
% 42.01/6.42 (v31 = v28) & host(v24) = v31 & $i(v31)) | (queue(v28) = v33 & $i(v33)
% 42.01/6.42 & ~ elem(v29, v33)) | (queue(v27) = v34 & $i(v34) & ~ elem(v30,
% 42.01/6.42 v34)))) & ! [v23: $i] : ! [v24: $i] : ! [v25: $i] : ! [v26: $i]
% 42.01/6.42 : ! [v27: $i] : ( ~ (m_Ack(v25, v23) = v26) | ~ (host(v24) = v27) | ~
% 42.01/6.42 $i(v25) | ~ $i(v24) | ~ $i(v23) | ? [v28: $i] : ? [v29: $i] : ? [v30:
% 42.01/6.42 $i] : ((host(v25) = v30 & host(v23) = v29 & $i(v30) & $i(v29) & ~
% 42.01/6.42 leq(v29, v30)) | (queue(v27) = v28 & $i(v28) & ~ elem(v26, v28)))) &
% 42.01/6.42 ! [v23: $i] : ! [v24: $i] : ! [v25: $i] : ! [v26: $i] : ( ~ (m_Down(v24)
% 42.01/6.42 = v25) | ~ (host(v23) = v26) | ~ $i(v24) | ~ $i(v23) | ~ setIn(v24,
% 42.01/6.42 alive) | ? [v27: $i] : (queue(v26) = v27 & $i(v27) & ~ elem(v25,
% 42.01/6.42 v27))) & ! [v23: $i] : ! [v24: $i] : ! [v25: $i] : ! [v26: $i] : (
% 42.01/6.42 ~ (m_Down(v24) = v25) | ~ (host(v23) = v26) | ~ $i(v24) | ~ $i(v23) |
% 42.01/6.42 ? [v27: $i] : ? [v28: $i] : (( ~ (v28 = v26) & host(v24) = v28 & $i(v28))
% 42.01/6.42 | (queue(v26) = v27 & $i(v27) & ~ elem(v25, v27)))) & ! [v23: $i] : !
% 42.01/6.42 [v24: $i] : ! [v25: $i] : ! [v26: $i] : ( ~ (m_Halt(v24) = v25) | ~
% 42.01/6.42 (host(v23) = v26) | ~ $i(v24) | ~ $i(v23) | ? [v27: $i] : ? [v28: $i]
% 42.01/6.42 : ((host(v24) = v28 & $i(v28) & ~ leq(v26, v28)) | (queue(v26) = v27 &
% 42.01/6.42 $i(v27) & ~ elem(v25, v27)))) & ! [v23: $i] : ! [v24: $i] : !
% 42.01/6.42 [v25: $i] : (v24 = v23 | ~ (host(v24) = v25) | ~ (host(v23) = v25) | ~
% 42.01/6.42 $i(v24) | ~ $i(v23) | ~ setIn(v24, alive) | ~ setIn(v23, alive)) & !
% 42.01/6.42 [v23: $i] : ! [v24: $i] : ! [v25: $i] : ( ~ (host(v24) = v25) | ~
% 42.01/6.42 (host(v23) = v25) | ~ $i(v24) | ~ $i(v23) | ~ leq(v24, v23) | ~
% 42.01/6.42 setIn(v24, alive) | setIn(v23, alive)) & (( ~ (v22 = v8) & index(down, v5)
% 42.01/6.42 = v13 & $i(v13) & leq(v0, v22) & ~ leq(v5, v22) & ~ setIn(v22, v13)) |
% 42.01/6.42 ( ~ (v10 = elec_1) & index(status, v5) = v10 & $i(v10))) & (( ~ (v12 = v8)
% 42.01/6.42 & index(elid, v5) = v11 & host(v11) = v12 & $i(v12) & $i(v11)) | ( ~
% 42.01/6.42 (v10 = wait) & index(status, v5) = v10 & $i(v10))) & (( ~ (v10 = norm) &
% 42.01/6.42 index(status, v5) = v10 & $i(v10)) | ( ~ (v9 = v8) & index(ldr, v5) = v9
% 42.01/6.42 & $i(v9))))
% 42.01/6.42
% 42.01/6.42 (function-axioms)
% 42.01/6.42 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 42.01/6.42 (index(v3, v2) = v1) | ~ (index(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 42.01/6.42 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (snoc(v3, v2) = v1) | ~ (snoc(v3,
% 42.01/6.42 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1
% 42.01/6.42 = v0 | ~ (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0)) & ! [v0: $i] : !
% 42.01/6.42 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (m_Ack(v3, v2) = v1) | ~
% 42.01/6.42 (m_Ack(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 |
% 42.01/6.42 ~ (pidMsg(v2) = v1) | ~ (pidMsg(v2) = v0)) & ! [v0: $i] : ! [v1: $i] :
% 42.01/6.42 ! [v2: $i] : (v1 = v0 | ~ (init(v2) = v1) | ~ (init(v2) = v0)) & ! [v0: $i]
% 42.01/6.42 : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (last(v2) = v1) | ~ (last(v2) =
% 42.01/6.42 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (tail(v2) =
% 42.01/6.42 v1) | ~ (tail(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1
% 42.01/6.42 = v0 | ~ (head(v2) = v1) | ~ (head(v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 42.01/6.42 : ! [v2: $i] : (v1 = v0 | ~ (m_NormQ(v2) = v1) | ~ (m_NormQ(v2) = v0)) & !
% 42.01/6.42 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (m_Ldr(v2) = v1) | ~
% 42.01/6.42 (m_Ldr(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 42.01/6.42 (m_NotNorm(v2) = v1) | ~ (m_NotNorm(v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 42.01/6.42 : ! [v2: $i] : (v1 = v0 | ~ (m_Down(v2) = v1) | ~ (m_Down(v2) = v0)) & !
% 42.01/6.42 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (m_Halt(v2) = v1) | ~
% 42.01/6.42 (m_Halt(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 42.01/6.42 (s(v2) = v1) | ~ (s(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 42.01/6.42 (v1 = v0 | ~ (host(v2) = v1) | ~ (host(v2) = v0)) & ! [v0: $i] : ! [v1:
% 42.01/6.42 $i] : ! [v2: $i] : (v1 = v0 | ~ (queue(v2) = v1) | ~ (queue(v2) = v0))
% 42.01/6.42
% 42.01/6.42 Further assumptions not needed in the proof:
% 42.01/6.42 --------------------------------------------
% 42.01/6.42 axiom, axiom_01, axiom_02, axiom_03, axiom_04, axiom_05, axiom_06, axiom_07,
% 42.01/6.42 axiom_08, axiom_09, axiom_10, axiom_11, axiom_12, axiom_13, axiom_14, axiom_15,
% 42.01/6.42 axiom_16, axiom_17, axiom_18, axiom_19, axiom_20, axiom_21, axiom_22, axiom_23,
% 42.01/6.42 axiom_24, axiom_25, axiom_26, axiom_27, axiom_28, axiom_29, axiom_30, axiom_31,
% 42.01/6.42 axiom_32, axiom_33, axiom_34, axiom_35, axiom_36, axiom_37, axiom_38, axiom_39,
% 42.01/6.42 axiom_40, axiom_41, axiom_42, axiom_43, axiom_44, axiom_45, axiom_47, axiom_48,
% 42.01/6.42 axiom_49, axiom_50, axiom_51, axiom_52, axiom_53, axiom_54, axiom_55, axiom_56,
% 42.01/6.42 axiom_57, axiom_58, axiom_59, axiom_60, axiom_61, axiom_62, axiom_63, axiom_64,
% 42.01/6.42 axiom_65
% 42.01/6.42
% 42.01/6.42 Those formulas are unsatisfiable:
% 42.01/6.42 ---------------------------------
% 42.01/6.42
% 42.01/6.42 Begin of proof
% 42.01/6.42 |
% 42.01/6.42 | ALPHA: (axiom_46) implies:
% 42.01/6.43 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (cons(v1,
% 42.01/6.43 | v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ elem(v0, v2) |
% 42.01/6.43 | elem(v0, v3))
% 42.01/6.43 |
% 42.01/6.43 | ALPHA: (conj) implies:
% 42.01/6.43 | (2) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 42.01/6.43 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 42.01/6.43 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 42.01/6.43 | ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19:
% 42.01/6.43 | $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ( ~ (v15 = v5) &
% 42.01/6.43 | cons(v7, v1) = v6 & m_Down(v20) = v21 & m_Down(v17) = v19 &
% 42.01/6.43 | m_Down(v4) = v7 & s(zero) = v0 & host(v20) = v5 & host(v18) = v5 &
% 42.01/6.43 | host(v17) = v15 & host(v14) = v15 & host(v4) = v8 & host(v3) = v5 &
% 42.01/6.43 | queue(v15) = v16 & queue(v5) = v6 & $i(v22) & $i(v21) & $i(v20) &
% 42.01/6.43 | $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v8) &
% 42.01/6.43 | $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)
% 42.01/6.43 | & setIn(v18, alive) & setIn(v14, alive) & setIn(v3, alive) &
% 42.01/6.43 | elem(v21, v16) & elem(v19, v1) & ~ leq(v5, v8) & ! [v23: $i] : !
% 42.01/6.43 | [v24: $i] : ! [v25: $i] : ! [v26: $i] : ! [v27: $i] : ! [v28: $i]
% 42.01/6.43 | : ! [v29: $i] : ! [v30: $i] : (v28 = v27 | ~ (m_Down(v26) = v29) |
% 42.01/6.43 | ~ (m_Down(v24) = v30) | ~ (host(v25) = v27) | ~ (host(v23) =
% 42.01/6.43 | v28) | ~ $i(v26) | ~ $i(v25) | ~ $i(v24) | ~ $i(v23) | ~
% 42.01/6.43 | setIn(v25, alive) | ~ setIn(v23, alive) | ? [v31: $i] : ? [v32:
% 42.01/6.43 | $i] : ? [v33: $i] : ? [v34: $i] : (( ~ (v32 = v27) & host(v26)
% 42.01/6.43 | = v32 & $i(v32)) | ( ~ (v31 = v28) & host(v24) = v31 & $i(v31))
% 42.01/6.43 | | (queue(v28) = v33 & $i(v33) & ~ elem(v29, v33)) | (queue(v27)
% 42.01/6.43 | = v34 & $i(v34) & ~ elem(v30, v34)))) & ! [v23: $i] : !
% 42.01/6.43 | [v24: $i] : ! [v25: $i] : ! [v26: $i] : ! [v27: $i] : ( ~
% 42.01/6.43 | (m_Ack(v25, v23) = v26) | ~ (host(v24) = v27) | ~ $i(v25) | ~
% 42.01/6.43 | $i(v24) | ~ $i(v23) | ? [v28: $i] : ? [v29: $i] : ? [v30: $i] :
% 42.01/6.43 | ((host(v25) = v30 & host(v23) = v29 & $i(v30) & $i(v29) & ~
% 42.01/6.43 | leq(v29, v30)) | (queue(v27) = v28 & $i(v28) & ~ elem(v26,
% 42.01/6.43 | v28)))) & ! [v23: $i] : ! [v24: $i] : ! [v25: $i] : !
% 42.01/6.43 | [v26: $i] : ( ~ (m_Down(v24) = v25) | ~ (host(v23) = v26) | ~
% 42.01/6.43 | $i(v24) | ~ $i(v23) | ~ setIn(v24, alive) | ? [v27: $i] :
% 42.01/6.43 | (queue(v26) = v27 & $i(v27) & ~ elem(v25, v27))) & ! [v23: $i] :
% 42.01/6.43 | ! [v24: $i] : ! [v25: $i] : ! [v26: $i] : ( ~ (m_Down(v24) = v25) |
% 42.01/6.43 | ~ (host(v23) = v26) | ~ $i(v24) | ~ $i(v23) | ? [v27: $i] : ?
% 42.01/6.43 | [v28: $i] : (( ~ (v28 = v26) & host(v24) = v28 & $i(v28)) |
% 42.01/6.43 | (queue(v26) = v27 & $i(v27) & ~ elem(v25, v27)))) & ! [v23: $i]
% 42.01/6.43 | : ! [v24: $i] : ! [v25: $i] : ! [v26: $i] : ( ~ (m_Halt(v24) =
% 42.01/6.43 | v25) | ~ (host(v23) = v26) | ~ $i(v24) | ~ $i(v23) | ? [v27:
% 42.01/6.43 | $i] : ? [v28: $i] : ((host(v24) = v28 & $i(v28) & ~ leq(v26,
% 42.01/6.43 | v28)) | (queue(v26) = v27 & $i(v27) & ~ elem(v25, v27)))) &
% 42.01/6.43 | ! [v23: $i] : ! [v24: $i] : ! [v25: $i] : (v24 = v23 | ~
% 42.01/6.43 | (host(v24) = v25) | ~ (host(v23) = v25) | ~ $i(v24) | ~ $i(v23)
% 42.01/6.43 | | ~ setIn(v24, alive) | ~ setIn(v23, alive)) & ! [v23: $i] : !
% 42.01/6.43 | [v24: $i] : ! [v25: $i] : ( ~ (host(v24) = v25) | ~ (host(v23) =
% 42.01/6.43 | v25) | ~ $i(v24) | ~ $i(v23) | ~ leq(v24, v23) | ~ setIn(v24,
% 42.01/6.43 | alive) | setIn(v23, alive)) & (( ~ (v22 = v8) & index(down, v5) =
% 42.01/6.43 | v13 & $i(v13) & leq(v0, v22) & ~ leq(v5, v22) & ~ setIn(v22,
% 42.01/6.43 | v13)) | ( ~ (v10 = elec_1) & index(status, v5) = v10 &
% 42.01/6.43 | $i(v10))) & (( ~ (v12 = v8) & index(elid, v5) = v11 & host(v11) =
% 42.01/6.43 | v12 & $i(v12) & $i(v11)) | ( ~ (v10 = wait) & index(status, v5) =
% 42.01/6.43 | v10 & $i(v10))) & (( ~ (v10 = norm) & index(status, v5) = v10 &
% 42.01/6.43 | $i(v10)) | ( ~ (v9 = v8) & index(ldr, v5) = v9 & $i(v9))))
% 42.01/6.43 |
% 42.01/6.43 | ALPHA: (function-axioms) implies:
% 42.01/6.44 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (queue(v2) =
% 42.01/6.44 | v1) | ~ (queue(v2) = v0))
% 42.01/6.44 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (host(v2) = v1)
% 42.01/6.44 | | ~ (host(v2) = v0))
% 42.01/6.44 |
% 42.01/6.44 | DELTA: instantiating (2) with fresh symbols all_65_0, all_65_1, all_65_2,
% 42.01/6.44 | all_65_3, all_65_4, all_65_5, all_65_6, all_65_7, all_65_8, all_65_9,
% 42.01/6.44 | all_65_10, all_65_11, all_65_12, all_65_13, all_65_14, all_65_15,
% 42.01/6.44 | all_65_16, all_65_17, all_65_18, all_65_19, all_65_20, all_65_21,
% 42.01/6.44 | all_65_22 gives:
% 42.01/6.44 | (5) ~ (all_65_7 = all_65_17) & cons(all_65_15, all_65_21) = all_65_16 &
% 42.01/6.44 | m_Down(all_65_2) = all_65_1 & m_Down(all_65_5) = all_65_3 &
% 42.01/6.44 | m_Down(all_65_18) = all_65_15 & s(zero) = all_65_22 & host(all_65_2) =
% 42.01/6.44 | all_65_17 & host(all_65_4) = all_65_17 & host(all_65_5) = all_65_7 &
% 42.01/6.44 | host(all_65_8) = all_65_7 & host(all_65_18) = all_65_14 &
% 42.01/6.44 | host(all_65_19) = all_65_17 & queue(all_65_7) = all_65_6 &
% 42.01/6.44 | queue(all_65_17) = all_65_16 & $i(all_65_0) & $i(all_65_1) &
% 42.01/6.44 | $i(all_65_2) & $i(all_65_3) & $i(all_65_4) & $i(all_65_5) &
% 42.01/6.44 | $i(all_65_6) & $i(all_65_7) & $i(all_65_8) & $i(all_65_14) &
% 42.01/6.44 | $i(all_65_15) & $i(all_65_16) & $i(all_65_17) & $i(all_65_18) &
% 42.01/6.44 | $i(all_65_19) & $i(all_65_20) & $i(all_65_21) & $i(all_65_22) &
% 42.01/6.44 | setIn(all_65_4, alive) & setIn(all_65_8, alive) & setIn(all_65_19,
% 42.01/6.44 | alive) & elem(all_65_1, all_65_6) & elem(all_65_3, all_65_21) & ~
% 42.01/6.44 | leq(all_65_17, all_65_14) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 42.01/6.44 | ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] :
% 42.01/6.44 | (v5 = v4 | ~ (m_Down(v3) = v6) | ~ (m_Down(v1) = v7) | ~ (host(v2) =
% 42.01/6.44 | v4) | ~ (host(v0) = v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 42.01/6.44 | $i(v0) | ~ setIn(v2, alive) | ~ setIn(v0, alive) | ? [v8: $i] : ?
% 42.01/6.44 | [v9: $i] : ? [v10: $i] : ? [v11: $i] : (( ~ (v9 = v4) & host(v3) =
% 42.01/6.44 | v9 & $i(v9)) | ( ~ (v8 = v5) & host(v1) = v8 & $i(v8)) |
% 42.01/6.44 | (queue(v5) = v10 & $i(v10) & ~ elem(v6, v10)) | (queue(v4) = v11 &
% 42.01/6.44 | $i(v11) & ~ elem(v7, v11)))) & ! [v0: $i] : ! [v1: $i] : !
% 42.01/6.44 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (m_Ack(v2, v0) = v3) | ~
% 42.01/6.44 | (host(v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] :
% 42.01/6.44 | ? [v6: $i] : ? [v7: $i] : ((host(v2) = v7 & host(v0) = v6 & $i(v7) &
% 42.01/6.44 | $i(v6) & ~ leq(v6, v7)) | (queue(v4) = v5 & $i(v5) & ~ elem(v3,
% 42.01/6.44 | v5)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i]
% 42.01/6.44 | : ( ~ (m_Down(v1) = v2) | ~ (host(v0) = v3) | ~ $i(v1) | ~ $i(v0) |
% 42.01/6.44 | ~ setIn(v1, alive) | ? [v4: $i] : (queue(v3) = v4 & $i(v4) & ~
% 42.01/6.44 | elem(v2, v4))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 42.01/6.44 | $i] : ( ~ (m_Down(v1) = v2) | ~ (host(v0) = v3) | ~ $i(v1) | ~
% 42.01/6.44 | $i(v0) | ? [v4: $i] : ? [v5: $i] : (( ~ (v5 = v3) & host(v1) = v5 &
% 42.01/6.44 | $i(v5)) | (queue(v3) = v4 & $i(v4) & ~ elem(v2, v4)))) & ! [v0:
% 42.01/6.44 | $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (m_Halt(v1) = v2)
% 42.01/6.44 | | ~ (host(v0) = v3) | ~ $i(v1) | ~ $i(v0) | ? [v4: $i] : ? [v5:
% 42.01/6.44 | $i] : ((host(v1) = v5 & $i(v5) & ~ leq(v3, v5)) | (queue(v3) = v4
% 42.01/6.44 | & $i(v4) & ~ elem(v2, v4)))) & ! [v0: $i] : ! [v1: $i] : !
% 42.01/6.44 | [v2: $i] : (v1 = v0 | ~ (host(v1) = v2) | ~ (host(v0) = v2) | ~
% 42.01/6.44 | $i(v1) | ~ $i(v0) | ~ setIn(v1, alive) | ~ setIn(v0, alive)) & !
% 42.01/6.44 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (host(v1) = v2) | ~
% 42.01/6.44 | (host(v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~ leq(v1, v0) | ~
% 42.01/6.44 | setIn(v1, alive) | setIn(v0, alive)) & (( ~ (all_65_0 = all_65_14) &
% 42.01/6.44 | index(down, all_65_17) = all_65_9 & $i(all_65_9) & leq(all_65_22,
% 42.01/6.44 | all_65_0) & ~ leq(all_65_17, all_65_0) & ~ setIn(all_65_0,
% 42.01/6.44 | all_65_9)) | ( ~ (all_65_12 = elec_1) & index(status, all_65_17)
% 42.01/6.44 | = all_65_12 & $i(all_65_12))) & (( ~ (all_65_10 = all_65_14) &
% 42.01/6.44 | index(elid, all_65_17) = all_65_11 & host(all_65_11) = all_65_10 &
% 42.01/6.44 | $i(all_65_10) & $i(all_65_11)) | ( ~ (all_65_12 = wait) &
% 42.01/6.44 | index(status, all_65_17) = all_65_12 & $i(all_65_12))) & (( ~
% 42.01/6.44 | (all_65_12 = norm) & index(status, all_65_17) = all_65_12 &
% 42.01/6.44 | $i(all_65_12)) | ( ~ (all_65_13 = all_65_14) & index(ldr,
% 42.01/6.44 | all_65_17) = all_65_13 & $i(all_65_13)))
% 42.01/6.44 |
% 42.01/6.44 | ALPHA: (5) implies:
% 42.01/6.45 | (6) ~ (all_65_7 = all_65_17)
% 42.01/6.45 | (7) elem(all_65_3, all_65_21)
% 42.01/6.45 | (8) elem(all_65_1, all_65_6)
% 42.01/6.45 | (9) setIn(all_65_19, alive)
% 42.01/6.45 | (10) setIn(all_65_8, alive)
% 42.01/6.45 | (11) $i(all_65_21)
% 42.01/6.45 | (12) $i(all_65_19)
% 42.01/6.45 | (13) $i(all_65_15)
% 42.01/6.45 | (14) $i(all_65_8)
% 42.01/6.45 | (15) $i(all_65_5)
% 42.01/6.45 | (16) $i(all_65_3)
% 42.01/6.45 | (17) $i(all_65_2)
% 42.01/6.45 | (18) queue(all_65_17) = all_65_16
% 42.01/6.45 | (19) queue(all_65_7) = all_65_6
% 42.01/6.45 | (20) host(all_65_19) = all_65_17
% 42.01/6.45 | (21) host(all_65_8) = all_65_7
% 42.01/6.45 | (22) host(all_65_5) = all_65_7
% 42.01/6.45 | (23) host(all_65_2) = all_65_17
% 42.01/6.45 | (24) m_Down(all_65_5) = all_65_3
% 42.01/6.45 | (25) m_Down(all_65_2) = all_65_1
% 42.01/6.45 | (26) cons(all_65_15, all_65_21) = all_65_16
% 42.01/6.45 | (27) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 42.01/6.45 | (m_Down(v1) = v2) | ~ (host(v0) = v3) | ~ $i(v1) | ~ $i(v0) | ?
% 42.01/6.45 | [v4: $i] : ? [v5: $i] : (( ~ (v5 = v3) & host(v1) = v5 & $i(v5)) |
% 42.01/6.45 | (queue(v3) = v4 & $i(v4) & ~ elem(v2, v4))))
% 42.01/6.45 | (28) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 42.01/6.45 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : (v5 = v4 | ~ (m_Down(v3) =
% 42.01/6.45 | v6) | ~ (m_Down(v1) = v7) | ~ (host(v2) = v4) | ~ (host(v0) =
% 42.01/6.45 | v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v2,
% 42.01/6.45 | alive) | ~ setIn(v0, alive) | ? [v8: $i] : ? [v9: $i] : ?
% 42.01/6.45 | [v10: $i] : ? [v11: $i] : (( ~ (v9 = v4) & host(v3) = v9 & $i(v9))
% 42.01/6.45 | | ( ~ (v8 = v5) & host(v1) = v8 & $i(v8)) | (queue(v5) = v10 &
% 42.01/6.45 | $i(v10) & ~ elem(v6, v10)) | (queue(v4) = v11 & $i(v11) & ~
% 42.01/6.45 | elem(v7, v11))))
% 42.01/6.45 |
% 42.01/6.45 | GROUND_INST: instantiating (27) with all_65_8, all_65_5, all_65_3, all_65_7,
% 42.01/6.45 | simplifying with (14), (15), (21), (24) gives:
% 42.01/6.45 | (29) ? [v0: $i] : ? [v1: any] : (( ~ (v1 = all_65_7) & host(all_65_5) =
% 42.01/6.45 | v1 & $i(v1)) | (queue(all_65_7) = v0 & $i(v0) & ~ elem(all_65_3,
% 42.01/6.45 | v0)))
% 42.01/6.45 |
% 42.01/6.45 | GROUND_INST: instantiating (28) with all_65_19, all_65_2, all_65_8, all_65_5,
% 42.01/6.45 | all_65_7, all_65_17, all_65_3, all_65_1, simplifying with (9),
% 42.01/6.45 | (10), (12), (14), (15), (17), (20), (21), (24), (25) gives:
% 42.01/6.45 | (30) all_65_7 = all_65_17 | ? [v0: any] : ? [v1: any] : ? [v2: $i] : ?
% 42.01/6.45 | [v3: $i] : (( ~ (v1 = all_65_7) & host(all_65_5) = v1 & $i(v1)) | ( ~
% 42.01/6.45 | (v0 = all_65_17) & host(all_65_2) = v0 & $i(v0)) |
% 42.01/6.45 | (queue(all_65_7) = v3 & $i(v3) & ~ elem(all_65_1, v3)) |
% 42.01/6.45 | (queue(all_65_17) = v2 & $i(v2) & ~ elem(all_65_3, v2)))
% 42.01/6.45 |
% 42.01/6.45 | GROUND_INST: instantiating (27) with all_65_19, all_65_2, all_65_1, all_65_17,
% 42.01/6.45 | simplifying with (12), (17), (20), (25) gives:
% 42.01/6.46 | (31) ? [v0: $i] : ? [v1: any] : (( ~ (v1 = all_65_17) & host(all_65_2) =
% 42.01/6.46 | v1 & $i(v1)) | (queue(all_65_17) = v0 & $i(v0) & ~ elem(all_65_1,
% 42.01/6.46 | v0)))
% 42.01/6.46 |
% 42.01/6.46 | GROUND_INST: instantiating (1) with all_65_3, all_65_15, all_65_21, all_65_16,
% 42.01/6.46 | simplifying with (7), (11), (13), (16), (26) gives:
% 42.01/6.46 | (32) elem(all_65_3, all_65_16)
% 42.01/6.46 |
% 42.01/6.46 | DELTA: instantiating (31) with fresh symbols all_88_0, all_88_1 gives:
% 42.01/6.46 | (33) ( ~ (all_88_0 = all_65_17) & host(all_65_2) = all_88_0 & $i(all_88_0))
% 42.01/6.46 | | (queue(all_65_17) = all_88_1 & $i(all_88_1) & ~ elem(all_65_1,
% 42.01/6.46 | all_88_1))
% 42.01/6.46 |
% 42.01/6.46 | DELTA: instantiating (29) with fresh symbols all_90_0, all_90_1 gives:
% 42.01/6.46 | (34) ( ~ (all_90_0 = all_65_7) & host(all_65_5) = all_90_0 & $i(all_90_0))
% 42.01/6.46 | | (queue(all_65_7) = all_90_1 & $i(all_90_1) & ~ elem(all_65_3,
% 42.01/6.46 | all_90_1))
% 42.01/6.46 |
% 42.01/6.46 | BETA: splitting (34) gives:
% 42.01/6.46 |
% 42.01/6.46 | Case 1:
% 42.01/6.46 | |
% 42.01/6.46 | | (35) ~ (all_90_0 = all_65_7) & host(all_65_5) = all_90_0 & $i(all_90_0)
% 42.01/6.46 | |
% 42.01/6.46 | | ALPHA: (35) implies:
% 42.01/6.46 | | (36) ~ (all_90_0 = all_65_7)
% 42.01/6.46 | | (37) host(all_65_5) = all_90_0
% 42.01/6.46 | |
% 42.01/6.46 | | GROUND_INST: instantiating (4) with all_65_7, all_90_0, all_65_5,
% 42.01/6.46 | | simplifying with (22), (37) gives:
% 42.01/6.46 | | (38) all_90_0 = all_65_7
% 42.01/6.46 | |
% 42.01/6.46 | | REDUCE: (36), (38) imply:
% 42.01/6.46 | | (39) $false
% 42.01/6.46 | |
% 42.01/6.46 | | CLOSE: (39) is inconsistent.
% 42.01/6.46 | |
% 42.01/6.46 | Case 2:
% 42.01/6.46 | |
% 42.01/6.46 | | (40) queue(all_65_7) = all_90_1 & $i(all_90_1) & ~ elem(all_65_3,
% 42.01/6.46 | | all_90_1)
% 42.01/6.46 | |
% 42.01/6.46 | | ALPHA: (40) implies:
% 42.01/6.46 | | (41) queue(all_65_7) = all_90_1
% 42.01/6.46 | |
% 42.01/6.46 | | BETA: splitting (33) gives:
% 42.01/6.46 | |
% 42.01/6.46 | | Case 1:
% 42.01/6.46 | | |
% 42.01/6.46 | | | (42) ~ (all_88_0 = all_65_17) & host(all_65_2) = all_88_0 &
% 42.01/6.46 | | | $i(all_88_0)
% 42.01/6.46 | | |
% 42.01/6.46 | | | ALPHA: (42) implies:
% 42.01/6.46 | | | (43) ~ (all_88_0 = all_65_17)
% 42.01/6.46 | | | (44) host(all_65_2) = all_88_0
% 42.01/6.46 | | |
% 42.01/6.46 | | | GROUND_INST: instantiating (4) with all_65_17, all_88_0, all_65_2,
% 42.01/6.46 | | | simplifying with (23), (44) gives:
% 42.01/6.46 | | | (45) all_88_0 = all_65_17
% 42.01/6.46 | | |
% 42.01/6.46 | | | REDUCE: (43), (45) imply:
% 42.01/6.46 | | | (46) $false
% 42.01/6.46 | | |
% 42.01/6.46 | | | CLOSE: (46) is inconsistent.
% 42.01/6.46 | | |
% 42.01/6.46 | | Case 2:
% 42.01/6.46 | | |
% 42.01/6.46 | | | (47) queue(all_65_17) = all_88_1 & $i(all_88_1) & ~ elem(all_65_1,
% 42.01/6.46 | | | all_88_1)
% 42.01/6.46 | | |
% 42.01/6.46 | | | ALPHA: (47) implies:
% 42.01/6.46 | | | (48) queue(all_65_17) = all_88_1
% 42.01/6.46 | | |
% 42.01/6.46 | | | BETA: splitting (30) gives:
% 42.01/6.46 | | |
% 42.01/6.46 | | | Case 1:
% 42.01/6.46 | | | |
% 42.01/6.46 | | | | (49) all_65_7 = all_65_17
% 42.01/6.46 | | | |
% 42.01/6.46 | | | | REDUCE: (6), (49) imply:
% 42.01/6.46 | | | | (50) $false
% 42.01/6.46 | | | |
% 42.01/6.46 | | | | CLOSE: (50) is inconsistent.
% 42.01/6.46 | | | |
% 42.01/6.46 | | | Case 2:
% 42.01/6.46 | | | |
% 42.01/6.46 | | | | (51) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: $i] : (( ~
% 42.01/6.46 | | | | (v1 = all_65_7) & host(all_65_5) = v1 & $i(v1)) | ( ~ (v0 =
% 42.01/6.46 | | | | all_65_17) & host(all_65_2) = v0 & $i(v0)) |
% 42.01/6.46 | | | | (queue(all_65_7) = v3 & $i(v3) & ~ elem(all_65_1, v3)) |
% 42.01/6.46 | | | | (queue(all_65_17) = v2 & $i(v2) & ~ elem(all_65_3, v2)))
% 42.01/6.46 | | | |
% 42.01/6.46 | | | | DELTA: instantiating (51) with fresh symbols all_162_0, all_162_1,
% 42.01/6.46 | | | | all_162_2, all_162_3 gives:
% 42.01/6.47 | | | | (52) ( ~ (all_162_2 = all_65_7) & host(all_65_5) = all_162_2 &
% 42.01/6.47 | | | | $i(all_162_2)) | ( ~ (all_162_3 = all_65_17) & host(all_65_2)
% 42.01/6.47 | | | | = all_162_3 & $i(all_162_3)) | (queue(all_65_7) = all_162_0 &
% 42.01/6.47 | | | | $i(all_162_0) & ~ elem(all_65_1, all_162_0)) |
% 42.01/6.47 | | | | (queue(all_65_17) = all_162_1 & $i(all_162_1) & ~
% 42.01/6.47 | | | | elem(all_65_3, all_162_1))
% 42.01/6.47 | | | |
% 42.01/6.47 | | | | BETA: splitting (52) gives:
% 42.01/6.47 | | | |
% 42.01/6.47 | | | | Case 1:
% 42.01/6.47 | | | | |
% 42.01/6.47 | | | | | (53) ( ~ (all_162_2 = all_65_7) & host(all_65_5) = all_162_2 &
% 42.01/6.47 | | | | | $i(all_162_2)) | ( ~ (all_162_3 = all_65_17) &
% 42.01/6.47 | | | | | host(all_65_2) = all_162_3 & $i(all_162_3))
% 42.01/6.47 | | | | |
% 42.01/6.47 | | | | | BETA: splitting (53) gives:
% 42.01/6.47 | | | | |
% 42.01/6.47 | | | | | Case 1:
% 42.01/6.47 | | | | | |
% 42.01/6.47 | | | | | | (54) ~ (all_162_2 = all_65_7) & host(all_65_5) = all_162_2 &
% 42.01/6.47 | | | | | | $i(all_162_2)
% 42.01/6.47 | | | | | |
% 42.01/6.47 | | | | | | ALPHA: (54) implies:
% 42.01/6.47 | | | | | | (55) ~ (all_162_2 = all_65_7)
% 42.01/6.47 | | | | | | (56) host(all_65_5) = all_162_2
% 42.01/6.47 | | | | | |
% 42.01/6.47 | | | | | | GROUND_INST: instantiating (4) with all_65_7, all_162_2, all_65_5,
% 42.01/6.47 | | | | | | simplifying with (22), (56) gives:
% 42.01/6.47 | | | | | | (57) all_162_2 = all_65_7
% 42.01/6.47 | | | | | |
% 42.01/6.47 | | | | | | REDUCE: (55), (57) imply:
% 42.01/6.47 | | | | | | (58) $false
% 42.01/6.47 | | | | | |
% 42.01/6.47 | | | | | | CLOSE: (58) is inconsistent.
% 42.01/6.47 | | | | | |
% 42.01/6.47 | | | | | Case 2:
% 42.01/6.47 | | | | | |
% 42.01/6.47 | | | | | | (59) ~ (all_162_3 = all_65_17) & host(all_65_2) = all_162_3 &
% 42.01/6.47 | | | | | | $i(all_162_3)
% 42.01/6.47 | | | | | |
% 42.01/6.47 | | | | | | ALPHA: (59) implies:
% 42.01/6.47 | | | | | | (60) ~ (all_162_3 = all_65_17)
% 42.01/6.47 | | | | | | (61) host(all_65_2) = all_162_3
% 42.01/6.47 | | | | | |
% 42.01/6.47 | | | | | | GROUND_INST: instantiating (4) with all_65_17, all_162_3, all_65_2,
% 42.01/6.47 | | | | | | simplifying with (23), (61) gives:
% 42.01/6.47 | | | | | | (62) all_162_3 = all_65_17
% 42.01/6.47 | | | | | |
% 42.01/6.47 | | | | | | REDUCE: (60), (62) imply:
% 42.01/6.47 | | | | | | (63) $false
% 42.01/6.47 | | | | | |
% 42.01/6.47 | | | | | | CLOSE: (63) is inconsistent.
% 42.01/6.47 | | | | | |
% 42.01/6.47 | | | | | End of split
% 42.01/6.47 | | | | |
% 42.01/6.47 | | | | Case 2:
% 42.01/6.47 | | | | |
% 42.01/6.47 | | | | | (64) (queue(all_65_7) = all_162_0 & $i(all_162_0) & ~
% 42.01/6.47 | | | | | elem(all_65_1, all_162_0)) | (queue(all_65_17) = all_162_1 &
% 42.01/6.47 | | | | | $i(all_162_1) & ~ elem(all_65_3, all_162_1))
% 42.01/6.47 | | | | |
% 42.01/6.47 | | | | | BETA: splitting (64) gives:
% 42.01/6.47 | | | | |
% 42.01/6.47 | | | | | Case 1:
% 42.01/6.47 | | | | | |
% 42.01/6.47 | | | | | | (65) queue(all_65_7) = all_162_0 & $i(all_162_0) & ~
% 42.01/6.47 | | | | | | elem(all_65_1, all_162_0)
% 42.01/6.47 | | | | | |
% 42.01/6.47 | | | | | | ALPHA: (65) implies:
% 42.01/6.47 | | | | | | (66) ~ elem(all_65_1, all_162_0)
% 42.01/6.47 | | | | | | (67) queue(all_65_7) = all_162_0
% 42.01/6.47 | | | | | |
% 42.01/6.47 | | | | | | GROUND_INST: instantiating (3) with all_65_6, all_162_0, all_65_7,
% 42.01/6.47 | | | | | | simplifying with (19), (67) gives:
% 42.01/6.47 | | | | | | (68) all_162_0 = all_65_6
% 42.01/6.47 | | | | | |
% 42.01/6.47 | | | | | | GROUND_INST: instantiating (3) with all_90_1, all_162_0, all_65_7,
% 42.01/6.47 | | | | | | simplifying with (41), (67) gives:
% 42.01/6.47 | | | | | | (69) all_162_0 = all_90_1
% 42.01/6.47 | | | | | |
% 42.01/6.47 | | | | | | COMBINE_EQS: (68), (69) imply:
% 42.01/6.47 | | | | | | (70) all_90_1 = all_65_6
% 42.01/6.47 | | | | | |
% 42.01/6.47 | | | | | | REDUCE: (66), (68) imply:
% 42.01/6.47 | | | | | | (71) ~ elem(all_65_1, all_65_6)
% 42.01/6.47 | | | | | |
% 42.01/6.47 | | | | | | PRED_UNIFY: (8), (71) imply:
% 42.01/6.47 | | | | | | (72) $false
% 42.01/6.47 | | | | | |
% 42.01/6.47 | | | | | | CLOSE: (72) is inconsistent.
% 42.01/6.47 | | | | | |
% 42.01/6.47 | | | | | Case 2:
% 42.01/6.47 | | | | | |
% 42.01/6.47 | | | | | | (73) queue(all_65_17) = all_162_1 & $i(all_162_1) & ~
% 42.01/6.47 | | | | | | elem(all_65_3, all_162_1)
% 42.01/6.47 | | | | | |
% 42.01/6.47 | | | | | | ALPHA: (73) implies:
% 42.01/6.47 | | | | | | (74) ~ elem(all_65_3, all_162_1)
% 42.01/6.47 | | | | | | (75) queue(all_65_17) = all_162_1
% 42.01/6.47 | | | | | |
% 42.01/6.47 | | | | | | GROUND_INST: instantiating (3) with all_65_16, all_162_1, all_65_17,
% 42.01/6.47 | | | | | | simplifying with (18), (75) gives:
% 42.01/6.47 | | | | | | (76) all_162_1 = all_65_16
% 42.01/6.47 | | | | | |
% 42.01/6.47 | | | | | | GROUND_INST: instantiating (3) with all_88_1, all_162_1, all_65_17,
% 42.01/6.47 | | | | | | simplifying with (48), (75) gives:
% 42.01/6.47 | | | | | | (77) all_162_1 = all_88_1
% 42.01/6.47 | | | | | |
% 42.01/6.47 | | | | | | COMBINE_EQS: (76), (77) imply:
% 42.01/6.47 | | | | | | (78) all_88_1 = all_65_16
% 42.01/6.47 | | | | | |
% 42.01/6.47 | | | | | | REDUCE: (74), (76) imply:
% 42.01/6.47 | | | | | | (79) ~ elem(all_65_3, all_65_16)
% 42.01/6.47 | | | | | |
% 42.01/6.47 | | | | | | PRED_UNIFY: (32), (79) imply:
% 42.01/6.47 | | | | | | (80) $false
% 42.01/6.47 | | | | | |
% 42.01/6.47 | | | | | | CLOSE: (80) is inconsistent.
% 42.01/6.47 | | | | | |
% 42.01/6.47 | | | | | End of split
% 42.01/6.47 | | | | |
% 42.01/6.47 | | | | End of split
% 42.01/6.47 | | | |
% 42.01/6.47 | | | End of split
% 42.01/6.47 | | |
% 42.01/6.47 | | End of split
% 42.01/6.47 | |
% 42.01/6.47 | End of split
% 42.01/6.47 |
% 42.01/6.47 End of proof
% 42.01/6.47 % SZS output end Proof for theBenchmark
% 42.01/6.47
% 42.01/6.47 5862ms
%------------------------------------------------------------------------------