TSTP Solution File: SWV466+1 by Princess---230619
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SWV466+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 : n024.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 22:56:36 EDT 2023
% Result : Theorem 75.00s 10.61s
% Output : Proof 76.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV466+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n024.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 08:44:53 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.
% 0.20/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 4.04/1.29 Prover 1: Preprocessing ...
% 4.04/1.30 Prover 4: Preprocessing ...
% 4.46/1.35 Prover 0: Preprocessing ...
% 4.46/1.35 Prover 5: Preprocessing ...
% 4.46/1.35 Prover 3: Preprocessing ...
% 4.46/1.35 Prover 6: Preprocessing ...
% 4.46/1.35 Prover 2: Preprocessing ...
% 11.15/2.35 Prover 1: Constructing countermodel ...
% 11.86/2.37 Prover 3: Constructing countermodel ...
% 11.86/2.37 Prover 6: Proving ...
% 12.48/2.51 Prover 5: Proving ...
% 13.06/2.56 Prover 2: Proving ...
% 15.44/2.88 Prover 4: Constructing countermodel ...
% 16.67/3.08 Prover 0: Proving ...
% 20.30/3.54 Prover 3: gave up
% 20.30/3.54 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 21.13/3.63 Prover 7: Preprocessing ...
% 26.50/4.30 Prover 7: Warning: ignoring some quantifiers
% 26.50/4.34 Prover 7: Constructing countermodel ...
% 31.34/5.04 Prover 1: gave up
% 31.34/5.05 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 32.39/5.10 Prover 8: Preprocessing ...
% 33.84/5.32 Prover 8: Warning: ignoring some quantifiers
% 33.84/5.32 Prover 8: Constructing countermodel ...
% 51.04/7.56 Prover 8: gave up
% 51.04/7.56 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889
% 52.06/7.62 Prover 9: Preprocessing ...
% 54.61/7.99 Prover 9: Constructing countermodel ...
% 58.74/8.49 Prover 2: stopped
% 58.74/8.49 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 59.31/8.56 Prover 10: Preprocessing ...
% 60.33/8.69 Prover 10: Warning: ignoring some quantifiers
% 60.33/8.69 Prover 10: Constructing countermodel ...
% 75.00/10.61 Prover 10: Found proof (size 229)
% 75.00/10.61 Prover 10: proved (2119ms)
% 75.00/10.61 Prover 9: stopped
% 75.00/10.61 Prover 7: stopped
% 75.00/10.61 Prover 4: stopped
% 75.00/10.61 Prover 5: stopped
% 75.00/10.61 Prover 0: stopped
% 75.00/10.61 Prover 6: stopped
% 75.00/10.61
% 75.00/10.61 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 75.00/10.61
% 75.36/10.63 % SZS output start Proof for theBenchmark
% 75.36/10.63 Assumptions after simplification:
% 75.36/10.63 ---------------------------------
% 75.36/10.63
% 75.36/10.63 (axiom_01)
% 75.46/10.66 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (host(v1) = v2) | ~ (host(v0) =
% 75.46/10.66 v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ( ~ (v3 = v2) & s(v2) = v3 &
% 75.46/10.66 $i(v3)))
% 75.46/10.66
% 75.46/10.66 (axiom_04)
% 75.46/10.66 $i(nbr_proc) & ! [v0: $i] : ! [v1: $i] : ( ~ (host(v0) = v1) | ~ $i(v0) |
% 75.46/10.66 leq(v1, nbr_proc))
% 75.46/10.66
% 75.46/10.66 (axiom_14)
% 75.46/10.66 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (m_Ldr(v2) = v3) |
% 75.46/10.66 ~ (m_Ack(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0))
% 75.46/10.66
% 75.46/10.66 (axiom_46)
% 75.46/10.66 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 75.46/10.66 (cons(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ elem(v0, v3) |
% 75.46/10.66 elem(v0, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 75.46/10.66 (cons(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ elem(v0, v2) |
% 75.46/10.66 elem(v0, v3)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (cons(v0, v1)
% 75.46/10.66 = v2) | ~ $i(v1) | ~ $i(v0) | elem(v0, v2))
% 75.46/10.66
% 75.46/10.66 (axiom_47)
% 75.46/10.67 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 75.46/10.67 (snoc(v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ elem(v0, v3) |
% 75.46/10.67 elem(v0, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 75.46/10.67 (snoc(v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ elem(v0, v2) |
% 75.46/10.67 elem(v0, v3)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (snoc(v1, v0)
% 75.46/10.67 = v2) | ~ $i(v1) | ~ $i(v0) | elem(v0, v2))
% 75.46/10.67
% 75.46/10.67 (axiom_61)
% 75.46/10.67 ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ $i(v1) | ~ $i(v0) | ~ leq(v1, v0)
% 75.46/10.67 | ~ leq(v0, v1)) & ? [v0: $i] : ( ~ $i(v0) | leq(v0, v0))
% 75.46/10.67
% 75.46/10.67 (axiom_62)
% 75.46/10.67 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 75.46/10.67 ~ leq(v1, v2) | ~ leq(v0, v1) | leq(v0, v2))
% 75.46/10.67
% 75.46/10.67 (axiom_64)
% 75.46/10.67 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v0 | ~ (s(v1) = v2) | ~
% 75.46/10.67 $i(v1) | ~ $i(v0) | ~ leq(v0, v2) | leq(v0, v1)) & ! [v0: $i] : ! [v1:
% 75.46/10.67 $i] : ! [v2: $i] : ( ~ (s(v1) = v2) | ~ $i(v1) | ~ $i(v0) | ~ leq(v0,
% 75.46/10.67 v1) | leq(v0, v2)) & ! [v0: $i] : ! [v1: $i] : ( ~ (s(v1) = v0) | ~
% 75.46/10.67 $i(v1) | ~ $i(v0) | leq(v0, v0))
% 75.46/10.67
% 75.46/10.67 (conj)
% 75.46/10.69 $i(acks) & $i(down) & $i(ldr) & $i(elid) & $i(status) & $i(pendack) &
% 75.46/10.69 $i(alive) & $i(norm) & $i(elec_1) & $i(elec_2) & $i(nbr_proc) & $i(zero) & ?
% 75.46/10.69 [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i]
% 75.46/10.69 : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ?
% 75.46/10.69 [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15: $i] : ?
% 75.46/10.69 [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: $i] : ? [v20: $i] : ?
% 75.46/10.69 [v21: $i] : ? [v22: $i] : ( ~ (v12 = v5) & index(acks, v5) = v9 &
% 75.46/10.69 index(status, v12) = elec_2 & index(status, v5) = elec_2 & index(pendack,
% 75.46/10.69 v12) = v17 & index(pendack, v5) = v8 & snoc(v20, v10) = v21 & cons(v7, v1)
% 75.46/10.69 = v6 & m_Ldr(v3) = v10 & m_Down(v15) = v19 & m_Down(v4) = v7 & s(v17) = v18
% 75.46/10.69 & s(zero) = v0 & m_Ack(v16, v14) = v22 & host(v16) = v12 & host(v15) = v18 &
% 75.46/10.69 host(v14) = v17 & host(v13) = v5 & host(v11) = v12 & host(v4) = v8 &
% 75.46/10.69 host(v3) = v5 & queue(v12) = v20 & queue(v5) = v6 & $i(v22) & $i(v21) &
% 75.46/10.69 $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) &
% 75.46/10.69 $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 75.46/10.69 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & leq(v5, v8) &
% 75.46/10.69 leq(nbr_proc, v18) & leq(nbr_proc, v8) & setIn(v16, alive) & setIn(v13,
% 75.46/10.69 alive) & setIn(v12, v9) & setIn(v3, alive) & elem(v22, v21) & elem(v19,
% 75.46/10.69 v21) & ! [v23: $i] : ! [v24: $i] : ! [v25: $i] : ! [v26: $i] : !
% 75.46/10.69 [v27: $i] : ! [v28: $i] : ! [v29: $i] : ( ~ (m_Down(v25) = v27) | ~
% 75.46/10.69 (m_Down(v24) = v28) | ~ (host(v26) = nbr_proc) | ~ (host(v23) = v29) |
% 75.46/10.69 ~ $i(v26) | ~ $i(v25) | ~ $i(v24) | ~ $i(v23) | ~ setIn(v23, alive) |
% 75.46/10.69 ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : ? [v33: $i] : ? [v34: $i] :
% 75.46/10.69 ? [v35: $i] : ? [v36: $i] : ($i(v36) & (( ~ (v36 = v31) & index(down,
% 75.46/10.69 nbr_proc) = v30 & host(v25) = v31 & $i(v31) & $i(v30) & leq(v0,
% 75.46/10.69 v36) & ~ leq(nbr_proc, v36) & ~ setIn(v36, v30)) | ( ~ (v34 =
% 75.46/10.69 elec_1) & index(status, nbr_proc) = v34 & $i(v34)) | ( ~ (v33 =
% 75.46/10.69 nbr_proc) & host(v24) = v33 & $i(v33)) | (queue(v29) = v35 &
% 75.46/10.69 $i(v35) & ~ elem(v28, v35)) | (queue(nbr_proc) = v32 & $i(v32) & ~
% 75.46/10.69 elem(v27, v32))))) & ! [v23: $i] : ! [v24: $i] : ! [v25: $i] : !
% 75.46/10.69 [v26: $i] : ! [v27: $i] : ! [v28: $i] : ! [v29: $i] : ( ~ (m_Down(v25) =
% 75.46/10.69 v27) | ~ (m_Ack(v26, v24) = v28) | ~ (host(v23) = v29) | ~ $i(v26) |
% 75.46/10.69 ~ $i(v25) | ~ $i(v24) | ~ $i(v23) | ~ setIn(v26, alive) | ~ setIn(v23,
% 75.46/10.69 alive) | ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : ? [v33: $i] : ?
% 75.46/10.69 [v34: $i] : ? [v35: $i] : ? [v36: $i] : ? [v37: $i] : ? [v38: $i] : ((
% 75.46/10.69 ~ (v38 = norm) & index(status, v29) = v38 & $i(v38)) | ( ~ (v37 = v29)
% 75.46/10.69 & index(ldr, v29) = v37 & $i(v37)) | (host(v26) = v30 & $i(v30) & (( ~
% 75.46/10.69 (v36 = v33) & index(pendack, v30) = v32 & s(v32) = v33 & host(v25)
% 75.46/10.69 = v36 & $i(v36) & $i(v33) & $i(v32)) | ( ~ (v35 = v32) &
% 75.46/10.69 index(pendack, v30) = v32 & host(v24) = v35 & $i(v35) & $i(v32)) |
% 75.46/10.69 ( ~ (v34 = elec_2) & index(status, v30) = v34 & $i(v34)) |
% 75.46/10.69 (index(pendack, v30) = v32 & s(v32) = v33 & $i(v33) & $i(v32) & ~
% 75.46/10.69 leq(nbr_proc, v33)) | (queue(v30) = v31 & $i(v31) & ( ~ elem(v28,
% 75.46/10.69 v31) | ~ elem(v27, v31))))))) & ! [v23: $i] : ! [v24: $i] :
% 75.46/10.69 ! [v25: $i] : ! [v26: $i] : ! [v27: $i] : ! [v28: $i] : ( ~ (m_Down(v24)
% 75.46/10.69 = v26) | ~ (host(v25) = v27) | ~ (host(v23) = v28) | ~ $i(v25) | ~
% 75.46/10.69 $i(v24) | ~ $i(v23) | ~ setIn(v25, alive) | ~ setIn(v23, alive) | ?
% 75.46/10.69 [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : (( ~ (v32 = norm)
% 75.46/10.69 & index(status, v28) = v32 & $i(v32)) | ( ~ (v31 = v28) & index(ldr,
% 75.46/10.69 v28) = v31 & $i(v31)) | ( ~ (v30 = v28) & host(v24) = v30 & $i(v30))
% 75.46/10.69 | (queue(v27) = v29 & $i(v29) & ~ elem(v26, v29)))) & ! [v23: $i] : !
% 75.46/10.69 [v24: $i] : ! [v25: $i] : ! [v26: $i] : ! [v27: $i] : ! [v28: $i] : ( ~
% 75.46/10.69 (m_Halt(v25) = v27) | ~ (host(v24) = v28) | ~ (host(v23) = v26) | ~
% 75.46/10.69 $i(v25) | ~ $i(v24) | ~ $i(v23) | ~ setIn(v25, alive) | ~ setIn(v23,
% 75.46/10.69 alive) | ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : ?
% 75.46/10.69 [v33: $i] : ? [v34: $i] : (( ~ (v34 = norm) & index(status, v26) = v34 &
% 75.46/10.69 $i(v34)) | ( ~ (v33 = v26) & index(ldr, v26) = v33 & $i(v33)) | ( ~
% 75.46/10.69 (v32 = elec_2) & index(status, v29) = v32 & host(v25) = v29 & $i(v32)
% 75.46/10.69 & $i(v29)) | (index(pendack, v29) = v30 & host(v25) = v29 & $i(v30) &
% 75.46/10.69 $i(v29) & leq(v30, v26)) | (queue(v28) = v31 & $i(v31) & ~ elem(v27,
% 75.46/10.69 v31)))) & ! [v23: $i] : ! [v24: $i] : ! [v25: $i] : ! [v26: $i]
% 75.46/10.69 : ! [v27: $i] : ( ~ (m_Ack(v25, v23) = v26) | ~ (host(v24) = v27) | ~
% 75.46/10.69 $i(v25) | ~ $i(v24) | ~ $i(v23) | ? [v28: $i] : ? [v29: $i] : ? [v30:
% 75.46/10.69 $i] : ((host(v25) = v30 & host(v23) = v29 & $i(v30) & $i(v29) & ~
% 75.46/10.69 leq(v29, v30)) | (queue(v27) = v28 & $i(v28) & ~ elem(v26, v28)))) &
% 75.46/10.69 ! [v23: $i] : ! [v24: $i] : ! [v25: $i] : ! [v26: $i] : ! [v27: $i] : (
% 75.46/10.69 ~ (m_Ack(v23, v24) = v27) | ~ (host(v25) = v26) | ~ $i(v25) | ~ $i(v24)
% 75.46/10.69 | ~ $i(v23) | ~ setIn(v25, alive) | ~ setIn(v23, alive) | ? [v28: $i]
% 75.46/10.69 : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : (( ~ (v31 =
% 75.46/10.69 elec_2) & index(status, v26) = v31 & $i(v31)) | ( ~ (v30 = elec_2) &
% 75.46/10.69 index(status, v29) = v30 & host(v23) = v29 & $i(v30) & $i(v29)) | ( ~
% 75.46/10.69 (v28 = v26) & host(v24) = v28 & $i(v28)) | (host(v23) = v29 &
% 75.46/10.69 queue(v29) = v32 & $i(v32) & $i(v29) & ~ elem(v27, v32)))) & ! [v23:
% 75.46/10.69 $i] : ! [v24: $i] : ! [v25: $i] : ! [v26: $i] : ( ~ (m_Ldr(v24) = v25)
% 75.46/10.69 | ~ (host(v23) = v26) | ~ $i(v24) | ~ $i(v23) | ? [v27: $i] : ? [v28:
% 75.46/10.69 $i] : ((host(v24) = v28 & $i(v28) & ~ leq(v26, v28)) | (queue(v26) =
% 75.46/10.69 v27 & $i(v27) & ~ elem(v25, v27)))) & ! [v23: $i] : ! [v24: $i] :
% 75.46/10.69 ! [v25: $i] : ! [v26: $i] : ( ~ (m_Down(v24) = v25) | ~ (host(v23) = v26)
% 75.46/10.69 | ~ $i(v24) | ~ $i(v23) | ? [v27: $i] : ? [v28: $i] : (( ~ (v28 = v26)
% 75.46/10.69 & host(v24) = v28 & $i(v28)) | (queue(v26) = v27 & $i(v27) & ~
% 75.46/10.69 elem(v25, v27)))) & ! [v23: $i] : ! [v24: $i] : ! [v25: $i] : !
% 75.46/10.69 [v26: $i] : ( ~ (m_Halt(v24) = v25) | ~ (host(v23) = v26) | ~ $i(v24) | ~
% 75.46/10.69 $i(v23) | ? [v27: $i] : ? [v28: $i] : ((host(v24) = v28 & $i(v28) & ~
% 75.46/10.69 leq(v26, v28)) | (queue(v26) = v27 & $i(v27) & ~ elem(v25, v27)))) &
% 75.46/10.69 ! [v23: $i] : ! [v24: $i] : ! [v25: $i] : ! [v26: $i] : ( ~ (host(v24) =
% 75.46/10.69 v26) | ~ (host(v23) = v25) | ~ $i(v24) | ~ $i(v23) | ~ setIn(v24,
% 75.46/10.69 alive) | ~ setIn(v23, alive) | leq(v25, v26) | ? [v27: $i] : ? [v28:
% 75.46/10.69 $i] : ? [v29: $i] : ? [v30: $i] : (( ~ (v28 = elec_2) & index(status,
% 75.46/10.69 v26) = v28 & $i(v28)) | ( ~ (v27 = elec_2) & index(status, v25) =
% 75.46/10.69 v27 & $i(v27)) | (index(pendack, v26) = v30 & index(pendack, v25) =
% 75.46/10.69 v29 & $i(v30) & $i(v29) & ~ leq(v29, v30)))) & ! [v23: $i] : !
% 75.46/10.69 [v24: $i] : ! [v25: $i] : ! [v26: $i] : ( ~ (host(v24) = v26) | ~
% 75.46/10.69 (host(v23) = v25) | ~ $i(v24) | ~ $i(v23) | ~ setIn(v24, alive) | ~
% 75.46/10.69 setIn(v23, alive) | leq(v25, v26) | ? [v27: $i] : ? [v28: $i] : ? [v29:
% 75.46/10.69 $i] : (( ~ (v28 = elec_2) & index(status, v26) = v28 & $i(v28)) | ( ~
% 75.46/10.69 (v27 = elec_2) & index(status, v25) = v27 & $i(v27)) | (index(pendack,
% 75.46/10.69 v26) = v29 & $i(v29) & leq(v29, v25)))) & ! [v23: $i] : ! [v24:
% 75.46/10.69 $i] : ! [v25: $i] : (v24 = v23 | ~ (host(v24) = v25) | ~ (host(v23) =
% 75.46/10.69 v25) | ~ $i(v24) | ~ $i(v23) | ~ setIn(v24, alive) | ~ setIn(v23,
% 75.46/10.69 alive)) & ! [v23: $i] : ! [v24: $i] : ! [v25: $i] : ( ~ (m_Ack(v24,
% 75.46/10.69 v23) = v25) | ~ $i(v24) | ~ $i(v23) | ~ setIn(v24, alive) | ?
% 75.46/10.69 [v26: $i] : ? [v27: $i] : ? [v28: $i] : ? [v29: $i] : (host(v24) = v26
% 75.46/10.69 & $i(v26) & ((index(pendack, v26) = v29 & host(v23) = v28 & $i(v29) &
% 75.46/10.69 $i(v28) & leq(v28, v29)) | (queue(v26) = v27 & $i(v27) & ~
% 75.46/10.69 elem(v25, v27))))) & ! [v23: $i] : ! [v24: $i] : ! [v25: $i] : (
% 75.46/10.69 ~ (m_Ack(v24, v23) = v25) | ~ $i(v24) | ~ $i(v23) | ~ setIn(v24, alive)
% 75.46/10.69 | ? [v26: $i] : ? [v27: $i] : ? [v28: $i] : (host(v24) = v26 & $i(v26)
% 75.46/10.69 & (( ~ (v27 = elec_1) & index(status, v26) = v27 & $i(v27)) |
% 75.46/10.69 (queue(v26) = v28 & $i(v28) & ~ elem(v25, v28))))) & ! [v23: $i] :
% 75.46/10.69 ! [v24: $i] : ( ~ (host(v23) = v24) | ~ $i(v23) | ~ setIn(v23, alive) | ?
% 75.46/10.69 [v25: $i] : ? [v26: $i] : ((v26 = v23 & index(elid, v24) = v23) | ( ~
% 75.46/10.69 (v25 = elec_1) & ~ (v25 = elec_2) & index(status, v24) = v25 &
% 75.46/10.69 $i(v25)))))
% 75.46/10.69
% 75.46/10.69 (function-axioms)
% 75.46/10.70 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 75.46/10.70 (index(v3, v2) = v1) | ~ (index(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 75.46/10.70 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (snoc(v3, v2) = v1) | ~ (snoc(v3,
% 75.46/10.70 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1
% 75.46/10.70 = v0 | ~ (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0)) & ! [v0: $i] : !
% 75.46/10.70 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (m_Ack(v3, v2) = v1) | ~
% 75.46/10.70 (m_Ack(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 |
% 75.46/10.70 ~ (pidMsg(v2) = v1) | ~ (pidMsg(v2) = v0)) & ! [v0: $i] : ! [v1: $i] :
% 75.46/10.70 ! [v2: $i] : (v1 = v0 | ~ (init(v2) = v1) | ~ (init(v2) = v0)) & ! [v0: $i]
% 75.46/10.70 : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (last(v2) = v1) | ~ (last(v2) =
% 75.46/10.70 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (tail(v2) =
% 75.46/10.70 v1) | ~ (tail(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1
% 75.46/10.70 = v0 | ~ (head(v2) = v1) | ~ (head(v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 75.46/10.70 : ! [v2: $i] : (v1 = v0 | ~ (m_NormQ(v2) = v1) | ~ (m_NormQ(v2) = v0)) & !
% 75.46/10.70 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (m_Ldr(v2) = v1) | ~
% 75.46/10.70 (m_Ldr(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 75.46/10.70 (m_NotNorm(v2) = v1) | ~ (m_NotNorm(v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 75.46/10.70 : ! [v2: $i] : (v1 = v0 | ~ (m_Down(v2) = v1) | ~ (m_Down(v2) = v0)) & !
% 75.46/10.70 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (m_Halt(v2) = v1) | ~
% 75.46/10.70 (m_Halt(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 75.46/10.70 (s(v2) = v1) | ~ (s(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 75.46/10.70 (v1 = v0 | ~ (host(v2) = v1) | ~ (host(v2) = v0)) & ! [v0: $i] : ! [v1:
% 75.46/10.70 $i] : ! [v2: $i] : (v1 = v0 | ~ (queue(v2) = v1) | ~ (queue(v2) = v0))
% 75.46/10.70
% 75.46/10.70 Further assumptions not needed in the proof:
% 75.46/10.70 --------------------------------------------
% 75.46/10.70 axiom, axiom_02, axiom_03, axiom_05, axiom_06, axiom_07, axiom_08, axiom_09,
% 75.46/10.70 axiom_10, axiom_11, axiom_12, axiom_13, axiom_15, axiom_16, axiom_17, axiom_18,
% 75.46/10.70 axiom_19, axiom_20, axiom_21, axiom_22, axiom_23, axiom_24, axiom_25, axiom_26,
% 75.46/10.70 axiom_27, axiom_28, axiom_29, axiom_30, axiom_31, axiom_32, axiom_33, axiom_34,
% 75.46/10.70 axiom_35, axiom_36, axiom_37, axiom_38, axiom_39, axiom_40, axiom_41, axiom_42,
% 75.46/10.70 axiom_43, axiom_44, axiom_45, axiom_48, axiom_49, axiom_50, axiom_51, axiom_52,
% 75.46/10.70 axiom_53, axiom_54, axiom_55, axiom_56, axiom_57, axiom_58, axiom_59, axiom_60,
% 75.46/10.70 axiom_63, axiom_65
% 75.46/10.70
% 75.46/10.70 Those formulas are unsatisfiable:
% 75.46/10.70 ---------------------------------
% 75.46/10.70
% 75.46/10.70 Begin of proof
% 75.46/10.70 |
% 75.46/10.70 | ALPHA: (axiom_04) implies:
% 75.46/10.70 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ (host(v0) = v1) | ~ $i(v0) | leq(v1,
% 75.46/10.70 | nbr_proc))
% 75.46/10.70 |
% 75.46/10.70 | ALPHA: (axiom_46) implies:
% 75.46/10.70 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (cons(v0, v1) = v2) | ~
% 75.46/10.70 | $i(v1) | ~ $i(v0) | elem(v0, v2))
% 75.46/10.70 |
% 75.46/10.70 | ALPHA: (axiom_47) implies:
% 75.46/10.70 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 75.46/10.70 | (snoc(v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ elem(v0,
% 75.46/10.70 | v3) | elem(v0, v2))
% 75.46/10.70 |
% 75.46/10.70 | ALPHA: (axiom_61) implies:
% 75.46/10.70 | (4) ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ $i(v1) | ~ $i(v0) | ~
% 75.46/10.70 | leq(v1, v0) | ~ leq(v0, v1))
% 75.46/10.70 |
% 75.46/10.70 | ALPHA: (axiom_64) implies:
% 75.46/10.70 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v0 | ~ (s(v1) = v2) |
% 75.46/10.70 | ~ $i(v1) | ~ $i(v0) | ~ leq(v0, v2) | leq(v0, v1))
% 75.46/10.70 |
% 75.46/10.70 | ALPHA: (conj) implies:
% 75.46/10.70 | (6) $i(nbr_proc)
% 75.46/10.72 | (7) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 75.46/10.72 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 75.46/10.72 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 75.46/10.72 | ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19:
% 75.46/10.72 | $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ( ~ (v12 = v5) &
% 75.46/10.72 | index(acks, v5) = v9 & index(status, v12) = elec_2 & index(status,
% 75.46/10.72 | v5) = elec_2 & index(pendack, v12) = v17 & index(pendack, v5) = v8
% 75.46/10.72 | & snoc(v20, v10) = v21 & cons(v7, v1) = v6 & m_Ldr(v3) = v10 &
% 75.46/10.72 | m_Down(v15) = v19 & m_Down(v4) = v7 & s(v17) = v18 & s(zero) = v0 &
% 75.46/10.72 | m_Ack(v16, v14) = v22 & host(v16) = v12 & host(v15) = v18 & host(v14)
% 75.46/10.72 | = v17 & host(v13) = v5 & host(v11) = v12 & host(v4) = v8 & host(v3) =
% 75.46/10.72 | v5 & queue(v12) = v20 & queue(v5) = v6 & $i(v22) & $i(v21) & $i(v20)
% 75.46/10.72 | & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13)
% 75.46/10.72 | & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 75.46/10.72 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & leq(v5, v8) &
% 75.46/10.72 | leq(nbr_proc, v18) & leq(nbr_proc, v8) & setIn(v16, alive) &
% 75.46/10.72 | setIn(v13, alive) & setIn(v12, v9) & setIn(v3, alive) & elem(v22,
% 75.46/10.72 | v21) & elem(v19, v21) & ! [v23: $i] : ! [v24: $i] : ! [v25: $i]
% 75.46/10.72 | : ! [v26: $i] : ! [v27: $i] : ! [v28: $i] : ! [v29: $i] : ( ~
% 75.46/10.72 | (m_Down(v25) = v27) | ~ (m_Down(v24) = v28) | ~ (host(v26) =
% 75.46/10.72 | nbr_proc) | ~ (host(v23) = v29) | ~ $i(v26) | ~ $i(v25) | ~
% 75.46/10.72 | $i(v24) | ~ $i(v23) | ~ setIn(v23, alive) | ? [v30: $i] : ?
% 75.46/10.72 | [v31: $i] : ? [v32: $i] : ? [v33: $i] : ? [v34: $i] : ? [v35:
% 75.46/10.72 | $i] : ? [v36: $i] : ($i(v36) & (( ~ (v36 = v31) & index(down,
% 75.46/10.72 | nbr_proc) = v30 & host(v25) = v31 & $i(v31) & $i(v30) &
% 75.46/10.72 | leq(v0, v36) & ~ leq(nbr_proc, v36) & ~ setIn(v36, v30)) |
% 75.46/10.72 | ( ~ (v34 = elec_1) & index(status, nbr_proc) = v34 & $i(v34)) |
% 75.46/10.72 | ( ~ (v33 = nbr_proc) & host(v24) = v33 & $i(v33)) | (queue(v29)
% 75.46/10.72 | = v35 & $i(v35) & ~ elem(v28, v35)) | (queue(nbr_proc) = v32
% 75.46/10.72 | & $i(v32) & ~ elem(v27, v32))))) & ! [v23: $i] : ! [v24:
% 75.46/10.72 | $i] : ! [v25: $i] : ! [v26: $i] : ! [v27: $i] : ! [v28: $i] :
% 75.46/10.72 | ! [v29: $i] : ( ~ (m_Down(v25) = v27) | ~ (m_Ack(v26, v24) = v28) |
% 75.46/10.72 | ~ (host(v23) = v29) | ~ $i(v26) | ~ $i(v25) | ~ $i(v24) | ~
% 75.46/10.72 | $i(v23) | ~ setIn(v26, alive) | ~ setIn(v23, alive) | ? [v30:
% 75.46/10.72 | $i] : ? [v31: $i] : ? [v32: $i] : ? [v33: $i] : ? [v34: $i] :
% 75.46/10.72 | ? [v35: $i] : ? [v36: $i] : ? [v37: $i] : ? [v38: $i] : (( ~
% 75.46/10.72 | (v38 = norm) & index(status, v29) = v38 & $i(v38)) | ( ~ (v37 =
% 75.46/10.72 | v29) & index(ldr, v29) = v37 & $i(v37)) | (host(v26) = v30 &
% 75.46/10.72 | $i(v30) & (( ~ (v36 = v33) & index(pendack, v30) = v32 & s(v32)
% 75.46/10.72 | = v33 & host(v25) = v36 & $i(v36) & $i(v33) & $i(v32)) | (
% 75.81/10.72 | ~ (v35 = v32) & index(pendack, v30) = v32 & host(v24) = v35
% 75.81/10.72 | & $i(v35) & $i(v32)) | ( ~ (v34 = elec_2) & index(status,
% 75.81/10.72 | v30) = v34 & $i(v34)) | (index(pendack, v30) = v32 &
% 75.81/10.72 | s(v32) = v33 & $i(v33) & $i(v32) & ~ leq(nbr_proc, v33)) |
% 75.81/10.72 | (queue(v30) = v31 & $i(v31) & ( ~ elem(v28, v31) | ~
% 75.81/10.72 | elem(v27, v31))))))) & ! [v23: $i] : ! [v24: $i] : !
% 75.81/10.72 | [v25: $i] : ! [v26: $i] : ! [v27: $i] : ! [v28: $i] : ( ~
% 75.81/10.72 | (m_Down(v24) = v26) | ~ (host(v25) = v27) | ~ (host(v23) = v28) |
% 75.81/10.72 | ~ $i(v25) | ~ $i(v24) | ~ $i(v23) | ~ setIn(v25, alive) | ~
% 75.81/10.72 | setIn(v23, alive) | ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ?
% 75.81/10.72 | [v32: $i] : (( ~ (v32 = norm) & index(status, v28) = v32 & $i(v32))
% 75.81/10.72 | | ( ~ (v31 = v28) & index(ldr, v28) = v31 & $i(v31)) | ( ~ (v30 =
% 75.81/10.72 | v28) & host(v24) = v30 & $i(v30)) | (queue(v27) = v29 &
% 75.81/10.72 | $i(v29) & ~ elem(v26, v29)))) & ! [v23: $i] : ! [v24: $i] :
% 75.81/10.72 | ! [v25: $i] : ! [v26: $i] : ! [v27: $i] : ! [v28: $i] : ( ~
% 75.81/10.72 | (m_Halt(v25) = v27) | ~ (host(v24) = v28) | ~ (host(v23) = v26) |
% 75.81/10.72 | ~ $i(v25) | ~ $i(v24) | ~ $i(v23) | ~ setIn(v25, alive) | ~
% 75.81/10.72 | setIn(v23, alive) | ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ?
% 75.81/10.72 | [v32: $i] : ? [v33: $i] : ? [v34: $i] : (( ~ (v34 = norm) &
% 75.81/10.72 | index(status, v26) = v34 & $i(v34)) | ( ~ (v33 = v26) &
% 75.81/10.72 | index(ldr, v26) = v33 & $i(v33)) | ( ~ (v32 = elec_2) &
% 75.81/10.72 | index(status, v29) = v32 & host(v25) = v29 & $i(v32) & $i(v29))
% 75.81/10.72 | | (index(pendack, v29) = v30 & host(v25) = v29 & $i(v30) &
% 75.81/10.72 | $i(v29) & leq(v30, v26)) | (queue(v28) = v31 & $i(v31) & ~
% 75.81/10.72 | elem(v27, v31)))) & ! [v23: $i] : ! [v24: $i] : ! [v25: $i]
% 75.81/10.72 | : ! [v26: $i] : ! [v27: $i] : ( ~ (m_Ack(v25, v23) = v26) | ~
% 75.81/10.72 | (host(v24) = v27) | ~ $i(v25) | ~ $i(v24) | ~ $i(v23) | ? [v28:
% 75.81/10.72 | $i] : ? [v29: $i] : ? [v30: $i] : ((host(v25) = v30 & host(v23)
% 75.81/10.72 | = v29 & $i(v30) & $i(v29) & ~ leq(v29, v30)) | (queue(v27) =
% 75.81/10.72 | v28 & $i(v28) & ~ elem(v26, v28)))) & ! [v23: $i] : ! [v24:
% 75.81/10.72 | $i] : ! [v25: $i] : ! [v26: $i] : ! [v27: $i] : ( ~ (m_Ack(v23,
% 75.81/10.72 | v24) = v27) | ~ (host(v25) = v26) | ~ $i(v25) | ~ $i(v24) |
% 75.81/10.72 | ~ $i(v23) | ~ setIn(v25, alive) | ~ setIn(v23, alive) | ? [v28:
% 75.81/10.72 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] :
% 75.81/10.72 | (( ~ (v31 = elec_2) & index(status, v26) = v31 & $i(v31)) | ( ~
% 75.81/10.72 | (v30 = elec_2) & index(status, v29) = v30 & host(v23) = v29 &
% 75.81/10.72 | $i(v30) & $i(v29)) | ( ~ (v28 = v26) & host(v24) = v28 &
% 75.81/10.72 | $i(v28)) | (host(v23) = v29 & queue(v29) = v32 & $i(v32) &
% 75.81/10.72 | $i(v29) & ~ elem(v27, v32)))) & ! [v23: $i] : ! [v24: $i] :
% 75.81/10.72 | ! [v25: $i] : ! [v26: $i] : ( ~ (m_Ldr(v24) = v25) | ~ (host(v23) =
% 75.81/10.72 | v26) | ~ $i(v24) | ~ $i(v23) | ? [v27: $i] : ? [v28: $i] :
% 75.81/10.72 | ((host(v24) = v28 & $i(v28) & ~ leq(v26, v28)) | (queue(v26) = v27
% 75.81/10.72 | & $i(v27) & ~ elem(v25, v27)))) & ! [v23: $i] : ! [v24: $i]
% 75.81/10.72 | : ! [v25: $i] : ! [v26: $i] : ( ~ (m_Down(v24) = v25) | ~
% 75.81/10.72 | (host(v23) = v26) | ~ $i(v24) | ~ $i(v23) | ? [v27: $i] : ?
% 75.81/10.72 | [v28: $i] : (( ~ (v28 = v26) & host(v24) = v28 & $i(v28)) |
% 75.81/10.72 | (queue(v26) = v27 & $i(v27) & ~ elem(v25, v27)))) & ! [v23: $i]
% 75.81/10.72 | : ! [v24: $i] : ! [v25: $i] : ! [v26: $i] : ( ~ (m_Halt(v24) =
% 75.81/10.72 | v25) | ~ (host(v23) = v26) | ~ $i(v24) | ~ $i(v23) | ? [v27:
% 75.81/10.72 | $i] : ? [v28: $i] : ((host(v24) = v28 & $i(v28) & ~ leq(v26,
% 75.81/10.72 | v28)) | (queue(v26) = v27 & $i(v27) & ~ elem(v25, v27)))) &
% 75.81/10.72 | ! [v23: $i] : ! [v24: $i] : ! [v25: $i] : ! [v26: $i] : ( ~
% 75.81/10.72 | (host(v24) = v26) | ~ (host(v23) = v25) | ~ $i(v24) | ~ $i(v23)
% 75.81/10.72 | | ~ setIn(v24, alive) | ~ setIn(v23, alive) | leq(v25, v26) | ?
% 75.81/10.72 | [v27: $i] : ? [v28: $i] : ? [v29: $i] : ? [v30: $i] : (( ~ (v28
% 75.81/10.72 | = elec_2) & index(status, v26) = v28 & $i(v28)) | ( ~ (v27 =
% 75.81/10.72 | elec_2) & index(status, v25) = v27 & $i(v27)) |
% 75.81/10.72 | (index(pendack, v26) = v30 & index(pendack, v25) = v29 & $i(v30)
% 75.81/10.72 | & $i(v29) & ~ leq(v29, v30)))) & ! [v23: $i] : ! [v24: $i] :
% 75.81/10.72 | ! [v25: $i] : ! [v26: $i] : ( ~ (host(v24) = v26) | ~ (host(v23) =
% 75.81/10.72 | v25) | ~ $i(v24) | ~ $i(v23) | ~ setIn(v24, alive) | ~
% 75.81/10.72 | setIn(v23, alive) | leq(v25, v26) | ? [v27: $i] : ? [v28: $i] :
% 75.81/10.72 | ? [v29: $i] : (( ~ (v28 = elec_2) & index(status, v26) = v28 &
% 75.81/10.72 | $i(v28)) | ( ~ (v27 = elec_2) & index(status, v25) = v27 &
% 75.81/10.72 | $i(v27)) | (index(pendack, v26) = v29 & $i(v29) & leq(v29,
% 75.81/10.72 | v25)))) & ! [v23: $i] : ! [v24: $i] : ! [v25: $i] : (v24 =
% 75.81/10.72 | v23 | ~ (host(v24) = v25) | ~ (host(v23) = v25) | ~ $i(v24) | ~
% 75.81/10.72 | $i(v23) | ~ setIn(v24, alive) | ~ setIn(v23, alive)) & ! [v23:
% 75.81/10.72 | $i] : ! [v24: $i] : ! [v25: $i] : ( ~ (m_Ack(v24, v23) = v25) |
% 75.81/10.72 | ~ $i(v24) | ~ $i(v23) | ~ setIn(v24, alive) | ? [v26: $i] : ?
% 75.81/10.72 | [v27: $i] : ? [v28: $i] : ? [v29: $i] : (host(v24) = v26 &
% 75.81/10.72 | $i(v26) & ((index(pendack, v26) = v29 & host(v23) = v28 & $i(v29)
% 75.81/10.72 | & $i(v28) & leq(v28, v29)) | (queue(v26) = v27 & $i(v27) & ~
% 75.81/10.72 | elem(v25, v27))))) & ! [v23: $i] : ! [v24: $i] : ! [v25:
% 75.81/10.72 | $i] : ( ~ (m_Ack(v24, v23) = v25) | ~ $i(v24) | ~ $i(v23) | ~
% 75.81/10.72 | setIn(v24, alive) | ? [v26: $i] : ? [v27: $i] : ? [v28: $i] :
% 75.81/10.72 | (host(v24) = v26 & $i(v26) & (( ~ (v27 = elec_1) & index(status,
% 75.81/10.72 | v26) = v27 & $i(v27)) | (queue(v26) = v28 & $i(v28) & ~
% 75.81/10.72 | elem(v25, v28))))) & ! [v23: $i] : ! [v24: $i] : ( ~
% 75.81/10.72 | (host(v23) = v24) | ~ $i(v23) | ~ setIn(v23, alive) | ? [v25:
% 75.81/10.72 | $i] : ? [v26: $i] : ((v26 = v23 & index(elid, v24) = v23) | ( ~
% 75.81/10.72 | (v25 = elec_1) & ~ (v25 = elec_2) & index(status, v24) = v25 &
% 75.81/10.72 | $i(v25)))))
% 75.81/10.72 |
% 75.81/10.72 | ALPHA: (function-axioms) implies:
% 75.81/10.72 | (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (queue(v2) =
% 75.81/10.72 | v1) | ~ (queue(v2) = v0))
% 75.81/10.72 | (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (host(v2) = v1)
% 75.81/10.72 | | ~ (host(v2) = v0))
% 75.81/10.72 | (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (s(v2) = v1) |
% 75.81/10.72 | ~ (s(v2) = v0))
% 75.81/10.72 | (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 75.81/10.72 | (index(v3, v2) = v1) | ~ (index(v3, v2) = v0))
% 75.81/10.72 |
% 75.81/10.72 | DELTA: instantiating (7) with fresh symbols all_65_0, all_65_1, all_65_2,
% 75.81/10.72 | all_65_3, all_65_4, all_65_5, all_65_6, all_65_7, all_65_8, all_65_9,
% 75.81/10.72 | all_65_10, all_65_11, all_65_12, all_65_13, all_65_14, all_65_15,
% 75.81/10.72 | all_65_16, all_65_17, all_65_18, all_65_19, all_65_20, all_65_21,
% 75.81/10.72 | all_65_22 gives:
% 75.81/10.74 | (12) ~ (all_65_10 = all_65_17) & index(acks, all_65_17) = all_65_13 &
% 75.81/10.74 | index(status, all_65_10) = elec_2 & index(status, all_65_17) = elec_2
% 75.81/10.74 | & index(pendack, all_65_10) = all_65_5 & index(pendack, all_65_17) =
% 75.81/10.74 | all_65_14 & snoc(all_65_2, all_65_12) = all_65_1 & cons(all_65_15,
% 75.81/10.74 | all_65_21) = all_65_16 & m_Ldr(all_65_19) = all_65_12 &
% 75.81/10.74 | m_Down(all_65_7) = all_65_3 & m_Down(all_65_18) = all_65_15 &
% 75.81/10.74 | s(all_65_5) = all_65_4 & s(zero) = all_65_22 & m_Ack(all_65_6,
% 75.81/10.74 | all_65_8) = all_65_0 & host(all_65_6) = all_65_10 & host(all_65_7) =
% 75.81/10.74 | all_65_4 & host(all_65_8) = all_65_5 & host(all_65_9) = all_65_17 &
% 75.81/10.74 | host(all_65_11) = all_65_10 & host(all_65_18) = all_65_14 &
% 75.81/10.74 | host(all_65_19) = all_65_17 & queue(all_65_10) = all_65_2 &
% 75.81/10.74 | queue(all_65_17) = all_65_16 & $i(all_65_0) & $i(all_65_1) &
% 75.81/10.74 | $i(all_65_2) & $i(all_65_3) & $i(all_65_4) & $i(all_65_5) &
% 75.81/10.74 | $i(all_65_6) & $i(all_65_7) & $i(all_65_8) & $i(all_65_9) &
% 75.81/10.74 | $i(all_65_10) & $i(all_65_11) & $i(all_65_12) & $i(all_65_13) &
% 75.81/10.74 | $i(all_65_14) & $i(all_65_15) & $i(all_65_16) & $i(all_65_17) &
% 75.81/10.74 | $i(all_65_18) & $i(all_65_19) & $i(all_65_20) & $i(all_65_21) &
% 75.81/10.74 | $i(all_65_22) & leq(all_65_17, all_65_14) & leq(nbr_proc, all_65_4) &
% 75.81/10.74 | leq(nbr_proc, all_65_14) & setIn(all_65_6, alive) & setIn(all_65_9,
% 75.81/10.74 | alive) & setIn(all_65_10, all_65_13) & setIn(all_65_19, alive) &
% 75.81/10.74 | elem(all_65_0, all_65_1) & elem(all_65_3, all_65_1) & ! [v0: $i] : !
% 75.81/10.74 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 75.81/10.74 | [v6: $i] : ( ~ (m_Down(v2) = v4) | ~ (m_Down(v1) = v5) | ~ (host(v3)
% 75.81/10.74 | = nbr_proc) | ~ (host(v0) = v6) | ~ $i(v3) | ~ $i(v2) | ~
% 75.81/10.74 | $i(v1) | ~ $i(v0) | ~ setIn(v0, alive) | ? [v7: $i] : ? [v8: $i]
% 75.81/10.74 | : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 75.81/10.74 | [v13: $i] : ($i(v13) & (( ~ (v13 = v8) & index(down, nbr_proc) = v7
% 75.81/10.74 | & host(v2) = v8 & $i(v8) & $i(v7) & leq(all_65_22, v13) & ~
% 75.81/10.74 | leq(nbr_proc, v13) & ~ setIn(v13, v7)) | ( ~ (v11 = elec_1) &
% 75.81/10.74 | index(status, nbr_proc) = v11 & $i(v11)) | ( ~ (v10 =
% 75.81/10.74 | nbr_proc) & host(v1) = v10 & $i(v10)) | (queue(v6) = v12 &
% 75.81/10.74 | $i(v12) & ~ elem(v5, v12)) | (queue(nbr_proc) = v9 & $i(v9) &
% 75.81/10.74 | ~ elem(v4, v9))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 75.81/10.74 | : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 75.81/10.74 | (m_Down(v2) = v4) | ~ (m_Ack(v3, v1) = v5) | ~ (host(v0) = v6) |
% 75.81/10.74 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v3, alive) |
% 75.81/10.74 | ~ setIn(v0, alive) | ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 75.81/10.74 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 75.81/10.74 | $i] : ? [v15: $i] : (( ~ (v15 = norm) & index(status, v6) = v15 &
% 75.81/10.74 | $i(v15)) | ( ~ (v14 = v6) & index(ldr, v6) = v14 & $i(v14)) |
% 75.81/10.74 | (host(v3) = v7 & $i(v7) & (( ~ (v13 = v10) & index(pendack, v7) =
% 75.81/10.74 | v9 & s(v9) = v10 & host(v2) = v13 & $i(v13) & $i(v10) &
% 75.81/10.74 | $i(v9)) | ( ~ (v12 = v9) & index(pendack, v7) = v9 &
% 75.81/10.74 | host(v1) = v12 & $i(v12) & $i(v9)) | ( ~ (v11 = elec_2) &
% 75.81/10.74 | index(status, v7) = v11 & $i(v11)) | (index(pendack, v7) =
% 75.81/10.74 | v9 & s(v9) = v10 & $i(v10) & $i(v9) & ~ leq(nbr_proc, v10))
% 75.81/10.74 | | (queue(v7) = v8 & $i(v8) & ( ~ elem(v5, v8) | ~ elem(v4,
% 75.81/10.74 | v8))))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 75.81/10.74 | [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (m_Down(v1) = v3) | ~
% 75.81/10.74 | (host(v2) = v4) | ~ (host(v0) = v5) | ~ $i(v2) | ~ $i(v1) | ~
% 75.81/10.74 | $i(v0) | ~ setIn(v2, alive) | ~ setIn(v0, alive) | ? [v6: $i] :
% 75.81/10.74 | ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : (( ~ (v9 = norm) &
% 75.81/10.74 | index(status, v5) = v9 & $i(v9)) | ( ~ (v8 = v5) & index(ldr,
% 75.81/10.74 | v5) = v8 & $i(v8)) | ( ~ (v7 = v5) & host(v1) = v7 & $i(v7)) |
% 75.81/10.74 | (queue(v4) = v6 & $i(v6) & ~ elem(v3, v6)))) & ! [v0: $i] : !
% 75.81/10.74 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 75.81/10.74 | (m_Halt(v2) = v4) | ~ (host(v1) = v5) | ~ (host(v0) = v3) | ~
% 75.81/10.74 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v2, alive) | ~ setIn(v0,
% 75.81/10.74 | alive) | ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 75.81/10.74 | ? [v10: $i] : ? [v11: $i] : (( ~ (v11 = norm) & index(status, v3) =
% 75.81/10.74 | v11 & $i(v11)) | ( ~ (v10 = v3) & index(ldr, v3) = v10 &
% 75.81/10.74 | $i(v10)) | ( ~ (v9 = elec_2) & index(status, v6) = v9 & host(v2)
% 75.81/10.74 | = v6 & $i(v9) & $i(v6)) | (index(pendack, v6) = v7 & host(v2) =
% 75.81/10.74 | v6 & $i(v7) & $i(v6) & leq(v7, v3)) | (queue(v5) = v8 & $i(v8) &
% 75.81/10.74 | ~ elem(v4, v8)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 75.81/10.74 | ! [v3: $i] : ! [v4: $i] : ( ~ (m_Ack(v2, v0) = v3) | ~ (host(v1) =
% 75.81/10.74 | v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : ? [v6:
% 75.81/10.74 | $i] : ? [v7: $i] : ((host(v2) = v7 & host(v0) = v6 & $i(v7) &
% 75.81/10.74 | $i(v6) & ~ leq(v6, v7)) | (queue(v4) = v5 & $i(v5) & ~
% 75.81/10.74 | elem(v3, v5)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 75.81/10.74 | [v3: $i] : ! [v4: $i] : ( ~ (m_Ack(v0, v1) = v4) | ~ (host(v2) = v3)
% 75.81/10.74 | | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v2, alive) | ~
% 75.81/10.74 | setIn(v0, alive) | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 75.81/10.74 | $i] : ? [v9: $i] : (( ~ (v8 = elec_2) & index(status, v3) = v8 &
% 75.81/10.74 | $i(v8)) | ( ~ (v7 = elec_2) & index(status, v6) = v7 & host(v0)
% 75.81/10.74 | = v6 & $i(v7) & $i(v6)) | ( ~ (v5 = v3) & host(v1) = v5 &
% 75.81/10.74 | $i(v5)) | (host(v0) = v6 & queue(v6) = v9 & $i(v9) & $i(v6) & ~
% 75.81/10.74 | elem(v4, v9)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 75.81/10.74 | [v3: $i] : ( ~ (m_Ldr(v1) = v2) | ~ (host(v0) = v3) | ~ $i(v1) | ~
% 75.81/10.74 | $i(v0) | ? [v4: $i] : ? [v5: $i] : ((host(v1) = v5 & $i(v5) & ~
% 75.81/10.74 | leq(v3, v5)) | (queue(v3) = v4 & $i(v4) & ~ elem(v2, v4)))) &
% 75.81/10.74 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (m_Down(v1)
% 75.81/10.74 | = v2) | ~ (host(v0) = v3) | ~ $i(v1) | ~ $i(v0) | ? [v4: $i] :
% 75.81/10.74 | ? [v5: $i] : (( ~ (v5 = v3) & host(v1) = v5 & $i(v5)) | (queue(v3)
% 75.81/10.74 | = v4 & $i(v4) & ~ elem(v2, v4)))) & ! [v0: $i] : ! [v1: $i] :
% 75.81/10.74 | ! [v2: $i] : ! [v3: $i] : ( ~ (m_Halt(v1) = v2) | ~ (host(v0) = v3)
% 75.81/10.74 | | ~ $i(v1) | ~ $i(v0) | ? [v4: $i] : ? [v5: $i] : ((host(v1) =
% 75.81/10.74 | v5 & $i(v5) & ~ leq(v3, v5)) | (queue(v3) = v4 & $i(v4) & ~
% 75.81/10.74 | elem(v2, v4)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 75.81/10.74 | [v3: $i] : ( ~ (host(v1) = v3) | ~ (host(v0) = v2) | ~ $i(v1) | ~
% 75.81/10.74 | $i(v0) | ~ setIn(v1, alive) | ~ setIn(v0, alive) | leq(v2, v3) |
% 75.81/10.74 | ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : (( ~ (v5 =
% 75.81/10.74 | elec_2) & index(status, v3) = v5 & $i(v5)) | ( ~ (v4 = elec_2)
% 75.81/10.74 | & index(status, v2) = v4 & $i(v4)) | (index(pendack, v3) = v7 &
% 75.81/10.74 | index(pendack, v2) = v6 & $i(v7) & $i(v6) & ~ leq(v6, v7)))) &
% 75.81/10.74 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (host(v1) =
% 75.81/10.74 | v3) | ~ (host(v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v1,
% 75.81/10.74 | alive) | ~ setIn(v0, alive) | leq(v2, v3) | ? [v4: $i] : ? [v5:
% 75.81/10.74 | $i] : ? [v6: $i] : (( ~ (v5 = elec_2) & index(status, v3) = v5 &
% 75.81/10.74 | $i(v5)) | ( ~ (v4 = elec_2) & index(status, v2) = v4 & $i(v4)) |
% 75.81/10.74 | (index(pendack, v3) = v6 & $i(v6) & leq(v6, v2)))) & ! [v0: $i] :
% 75.81/10.74 | ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (host(v1) = v2) | ~
% 75.81/10.74 | (host(v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v1, alive) | ~
% 75.81/10.74 | setIn(v0, alive)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 75.81/10.74 | (m_Ack(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v1, alive) |
% 75.81/10.74 | ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : (host(v1) =
% 75.81/10.74 | v3 & $i(v3) & ((index(pendack, v3) = v6 & host(v0) = v5 & $i(v6) &
% 75.81/10.74 | $i(v5) & leq(v5, v6)) | (queue(v3) = v4 & $i(v4) & ~ elem(v2,
% 75.81/10.74 | v4))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 75.81/10.74 | (m_Ack(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v1, alive) |
% 75.81/10.74 | ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : (host(v1) = v3 & $i(v3) &
% 75.81/10.74 | (( ~ (v4 = elec_1) & index(status, v3) = v4 & $i(v4)) | (queue(v3)
% 75.81/10.74 | = v5 & $i(v5) & ~ elem(v2, v5))))) & ! [v0: $i] : ! [v1:
% 75.81/10.74 | $i] : ( ~ (host(v0) = v1) | ~ $i(v0) | ~ setIn(v0, alive) | ?
% 75.81/10.74 | [v2: $i] : ? [v3: $i] : ((v3 = v0 & index(elid, v1) = v0) | ( ~ (v2
% 75.81/10.74 | = elec_1) & ~ (v2 = elec_2) & index(status, v1) = v2 &
% 75.81/10.74 | $i(v2))))
% 75.81/10.74 |
% 75.81/10.74 | ALPHA: (12) implies:
% 75.81/10.74 | (13) ~ (all_65_10 = all_65_17)
% 75.81/10.74 | (14) elem(all_65_0, all_65_1)
% 75.81/10.74 | (15) setIn(all_65_19, alive)
% 75.81/10.74 | (16) setIn(all_65_9, alive)
% 75.81/10.74 | (17) setIn(all_65_6, alive)
% 75.81/10.74 | (18) leq(nbr_proc, all_65_14)
% 75.81/10.74 | (19) leq(nbr_proc, all_65_4)
% 75.81/10.74 | (20) leq(all_65_17, all_65_14)
% 75.81/10.74 | (21) $i(all_65_21)
% 75.81/10.74 | (22) $i(all_65_19)
% 75.81/10.74 | (23) $i(all_65_18)
% 75.81/10.74 | (24) $i(all_65_17)
% 75.81/10.74 | (25) $i(all_65_15)
% 75.81/10.74 | (26) $i(all_65_12)
% 75.81/10.74 | (27) $i(all_65_11)
% 75.81/10.74 | (28) $i(all_65_9)
% 75.81/10.74 | (29) $i(all_65_8)
% 75.81/10.74 | (30) $i(all_65_7)
% 75.81/10.74 | (31) $i(all_65_6)
% 75.81/10.74 | (32) $i(all_65_5)
% 75.81/10.74 | (33) $i(all_65_2)
% 75.81/10.74 | (34) $i(all_65_0)
% 75.81/10.74 | (35) queue(all_65_17) = all_65_16
% 75.81/10.74 | (36) queue(all_65_10) = all_65_2
% 75.81/10.74 | (37) host(all_65_19) = all_65_17
% 75.81/10.74 | (38) host(all_65_18) = all_65_14
% 75.81/10.74 | (39) host(all_65_11) = all_65_10
% 75.81/10.74 | (40) host(all_65_9) = all_65_17
% 75.81/10.74 | (41) host(all_65_8) = all_65_5
% 75.81/10.74 | (42) host(all_65_7) = all_65_4
% 75.81/10.74 | (43) host(all_65_6) = all_65_10
% 75.81/10.74 | (44) m_Ack(all_65_6, all_65_8) = all_65_0
% 75.81/10.74 | (45) s(all_65_5) = all_65_4
% 75.81/10.74 | (46) m_Down(all_65_18) = all_65_15
% 75.81/10.74 | (47) m_Ldr(all_65_19) = all_65_12
% 75.81/10.74 | (48) cons(all_65_15, all_65_21) = all_65_16
% 75.81/10.74 | (49) snoc(all_65_2, all_65_12) = all_65_1
% 75.81/10.74 | (50) index(pendack, all_65_17) = all_65_14
% 75.81/10.74 | (51) index(pendack, all_65_10) = all_65_5
% 75.81/10.74 | (52) index(status, all_65_17) = elec_2
% 75.81/10.74 | (53) index(status, all_65_10) = elec_2
% 75.81/10.74 | (54) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (m_Ack(v1, v0) = v2) |
% 75.81/10.74 | ~ $i(v1) | ~ $i(v0) | ~ setIn(v1, alive) | ? [v3: $i] : ? [v4:
% 75.81/10.74 | $i] : ? [v5: $i] : (host(v1) = v3 & $i(v3) & (( ~ (v4 = elec_1) &
% 75.81/10.74 | index(status, v3) = v4 & $i(v4)) | (queue(v3) = v5 & $i(v5) &
% 75.81/10.74 | ~ elem(v2, v5)))))
% 75.81/10.75 | (55) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (m_Ack(v1, v0) = v2) |
% 75.81/10.75 | ~ $i(v1) | ~ $i(v0) | ~ setIn(v1, alive) | ? [v3: $i] : ? [v4:
% 75.81/10.75 | $i] : ? [v5: $i] : ? [v6: $i] : (host(v1) = v3 & $i(v3) &
% 75.81/10.75 | ((index(pendack, v3) = v6 & host(v0) = v5 & $i(v6) & $i(v5) &
% 75.81/10.75 | leq(v5, v6)) | (queue(v3) = v4 & $i(v4) & ~ elem(v2, v4)))))
% 75.81/10.75 | (56) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (host(v1) =
% 75.81/10.75 | v2) | ~ (host(v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v1,
% 75.81/10.75 | alive) | ~ setIn(v0, alive))
% 75.81/10.75 | (57) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (host(v1)
% 75.81/10.75 | = v3) | ~ (host(v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v1,
% 75.81/10.75 | alive) | ~ setIn(v0, alive) | leq(v2, v3) | ? [v4: $i] : ? [v5:
% 75.81/10.75 | $i] : ? [v6: $i] : (( ~ (v5 = elec_2) & index(status, v3) = v5 &
% 75.81/10.75 | $i(v5)) | ( ~ (v4 = elec_2) & index(status, v2) = v4 & $i(v4)) |
% 75.81/10.75 | (index(pendack, v3) = v6 & $i(v6) & leq(v6, v2))))
% 75.81/10.75 | (58) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (host(v1)
% 75.81/10.75 | = v3) | ~ (host(v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v1,
% 75.81/10.75 | alive) | ~ setIn(v0, alive) | leq(v2, v3) | ? [v4: $i] : ? [v5:
% 75.81/10.75 | $i] : ? [v6: $i] : ? [v7: $i] : (( ~ (v5 = elec_2) &
% 75.81/10.75 | index(status, v3) = v5 & $i(v5)) | ( ~ (v4 = elec_2) &
% 75.81/10.75 | index(status, v2) = v4 & $i(v4)) | (index(pendack, v3) = v7 &
% 75.81/10.75 | index(pendack, v2) = v6 & $i(v7) & $i(v6) & ~ leq(v6, v7))))
% 75.81/10.75 | (59) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 75.81/10.75 | (m_Down(v1) = v2) | ~ (host(v0) = v3) | ~ $i(v1) | ~ $i(v0) | ?
% 75.81/10.75 | [v4: $i] : ? [v5: $i] : (( ~ (v5 = v3) & host(v1) = v5 & $i(v5)) |
% 75.81/10.75 | (queue(v3) = v4 & $i(v4) & ~ elem(v2, v4))))
% 75.81/10.75 | (60) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 75.81/10.75 | ( ~ (m_Ack(v0, v1) = v4) | ~ (host(v2) = v3) | ~ $i(v2) | ~ $i(v1)
% 75.81/10.75 | | ~ $i(v0) | ~ setIn(v2, alive) | ~ setIn(v0, alive) | ? [v5:
% 75.81/10.75 | $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : (( ~
% 75.81/10.75 | (v8 = elec_2) & index(status, v3) = v8 & $i(v8)) | ( ~ (v7 =
% 75.81/10.75 | elec_2) & index(status, v6) = v7 & host(v0) = v6 & $i(v7) &
% 75.81/10.75 | $i(v6)) | ( ~ (v5 = v3) & host(v1) = v5 & $i(v5)) | (host(v0) =
% 75.81/10.75 | v6 & queue(v6) = v9 & $i(v9) & $i(v6) & ~ elem(v4, v9))))
% 75.81/10.75 | (61) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 75.81/10.75 | ( ~ (m_Ack(v2, v0) = v3) | ~ (host(v1) = v4) | ~ $i(v2) | ~ $i(v1)
% 75.81/10.75 | | ~ $i(v0) | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ((host(v2) =
% 75.81/10.75 | v7 & host(v0) = v6 & $i(v7) & $i(v6) & ~ leq(v6, v7)) |
% 75.81/10.75 | (queue(v4) = v5 & $i(v5) & ~ elem(v3, v5))))
% 75.81/10.75 |
% 75.81/10.75 | GROUND_INST: instantiating (1) with all_65_18, all_65_14, simplifying with
% 75.81/10.75 | (23), (38) gives:
% 75.81/10.75 | (62) leq(all_65_14, nbr_proc)
% 75.81/10.75 |
% 75.81/10.75 | GROUND_INST: instantiating (56) with all_65_19, all_65_9, all_65_17,
% 75.81/10.75 | simplifying with (15), (16), (22), (28), (37), (40) gives:
% 75.81/10.75 | (63) all_65_9 = all_65_19
% 75.81/10.75 |
% 75.81/10.75 | GROUND_INST: instantiating (axiom_01) with all_65_8, all_65_8, all_65_5,
% 75.81/10.75 | simplifying with (29), (41) gives:
% 75.81/10.75 | (64) ? [v0: any] : ( ~ (v0 = all_65_5) & s(all_65_5) = v0 & $i(v0))
% 75.81/10.75 |
% 75.81/10.75 | GROUND_INST: instantiating (1) with all_65_8, all_65_5, simplifying with (29),
% 75.81/10.75 | (41) gives:
% 75.81/10.75 | (65) leq(all_65_5, nbr_proc)
% 75.81/10.75 |
% 75.81/10.75 | GROUND_INST: instantiating (1) with all_65_7, all_65_4, simplifying with (30),
% 75.81/10.75 | (42) gives:
% 75.81/10.75 | (66) leq(all_65_4, nbr_proc)
% 75.81/10.75 |
% 75.81/10.75 | GROUND_INST: instantiating (58) with all_65_19, all_65_6, all_65_17,
% 75.81/10.75 | all_65_10, simplifying with (15), (17), (22), (31), (37), (43)
% 75.81/10.75 | gives:
% 75.81/10.75 | (67) leq(all_65_17, all_65_10) | ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.81/10.75 | ? [v3: $i] : (( ~ (v1 = elec_2) & index(status, all_65_10) = v1 &
% 75.81/10.75 | $i(v1)) | ( ~ (v0 = elec_2) & index(status, all_65_17) = v0 &
% 75.81/10.75 | $i(v0)) | (index(pendack, all_65_10) = v3 & index(pendack,
% 75.81/10.75 | all_65_17) = v2 & $i(v3) & $i(v2) & ~ leq(v2, v3)))
% 75.81/10.75 |
% 75.81/10.75 | GROUND_INST: instantiating (57) with all_65_19, all_65_6, all_65_17,
% 75.81/10.75 | all_65_10, simplifying with (15), (17), (22), (31), (37), (43)
% 75.81/10.75 | gives:
% 75.81/10.76 | (68) leq(all_65_17, all_65_10) | ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.81/10.76 | (( ~ (v1 = elec_2) & index(status, all_65_10) = v1 & $i(v1)) | ( ~ (v0
% 75.81/10.76 | = elec_2) & index(status, all_65_17) = v0 & $i(v0)) |
% 75.81/10.76 | (index(pendack, all_65_10) = v2 & $i(v2) & leq(v2, all_65_17)))
% 75.81/10.76 |
% 75.81/10.76 | GROUND_INST: instantiating (58) with all_65_6, all_65_19, all_65_10,
% 75.81/10.76 | all_65_17, simplifying with (15), (17), (22), (31), (37), (43)
% 75.81/10.76 | gives:
% 75.81/10.76 | (69) leq(all_65_10, all_65_17) | ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.81/10.76 | ? [v3: $i] : (( ~ (v1 = elec_2) & index(status, all_65_17) = v1 &
% 75.81/10.76 | $i(v1)) | ( ~ (v0 = elec_2) & index(status, all_65_10) = v0 &
% 75.81/10.76 | $i(v0)) | (index(pendack, all_65_10) = v2 & index(pendack,
% 75.81/10.76 | all_65_17) = v3 & $i(v3) & $i(v2) & ~ leq(v2, v3)))
% 75.81/10.76 |
% 75.81/10.76 | GROUND_INST: instantiating (57) with all_65_6, all_65_19, all_65_10,
% 75.81/10.76 | all_65_17, simplifying with (15), (17), (22), (31), (37), (43)
% 75.81/10.76 | gives:
% 75.81/10.76 | (70) leq(all_65_10, all_65_17) | ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 75.81/10.76 | (( ~ (v1 = elec_2) & index(status, all_65_17) = v1 & $i(v1)) | ( ~ (v0
% 75.81/10.76 | = elec_2) & index(status, all_65_10) = v0 & $i(v0)) |
% 75.81/10.76 | (index(pendack, all_65_17) = v2 & $i(v2) & leq(v2, all_65_10)))
% 75.81/10.76 |
% 75.81/10.76 | GROUND_INST: instantiating (61) with all_65_8, all_65_11, all_65_6, all_65_0,
% 75.81/10.76 | all_65_10, simplifying with (27), (29), (31), (39), (44) gives:
% 75.81/10.76 | (71) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ((host(all_65_6) = v2 &
% 75.81/10.76 | host(all_65_8) = v1 & $i(v2) & $i(v1) & ~ leq(v1, v2)) |
% 75.81/10.76 | (queue(all_65_10) = v0 & $i(v0) & ~ elem(all_65_0, v0)))
% 75.81/10.76 |
% 75.81/10.76 | GROUND_INST: instantiating (60) with all_65_6, all_65_8, all_65_19, all_65_17,
% 75.81/10.76 | all_65_0, simplifying with (15), (17), (22), (29), (31), (37),
% 75.81/10.76 | (44) gives:
% 75.81/10.76 | (72) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 75.81/10.76 | (( ~ (v3 = elec_2) & index(status, all_65_17) = v3 & $i(v3)) | ( ~ (v2
% 75.81/10.76 | = elec_2) & index(status, v1) = v2 & host(all_65_6) = v1 &
% 75.81/10.76 | $i(v2) & $i(v1)) | ( ~ (v0 = all_65_17) & host(all_65_8) = v0 &
% 75.81/10.76 | $i(v0)) | (host(all_65_6) = v1 & queue(v1) = v4 & $i(v4) & $i(v1)
% 75.81/10.76 | & ~ elem(all_65_0, v4)))
% 75.81/10.76 |
% 75.81/10.76 | GROUND_INST: instantiating (55) with all_65_8, all_65_6, all_65_0, simplifying
% 75.81/10.76 | with (17), (29), (31), (44) gives:
% 75.81/10.76 | (73) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 75.81/10.76 | (host(all_65_6) = v0 & $i(v0) & ((index(pendack, v0) = v3 &
% 75.81/10.76 | host(all_65_8) = v2 & $i(v3) & $i(v2) & leq(v2, v3)) |
% 75.81/10.76 | (queue(v0) = v1 & $i(v1) & ~ elem(all_65_0, v1))))
% 75.81/10.76 |
% 75.81/10.76 | GROUND_INST: instantiating (54) with all_65_8, all_65_6, all_65_0, simplifying
% 75.81/10.76 | with (17), (29), (31), (44) gives:
% 75.81/10.76 | (74) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (host(all_65_6) = v0 &
% 75.81/10.76 | $i(v0) & (( ~ (v1 = elec_1) & index(status, v0) = v1 & $i(v1)) |
% 75.81/10.76 | (queue(v0) = v2 & $i(v2) & ~ elem(all_65_0, v2))))
% 75.81/10.76 |
% 75.81/10.76 | GROUND_INST: instantiating (59) with all_65_19, all_65_18, all_65_15,
% 75.81/10.76 | all_65_17, simplifying with (22), (23), (37), (46) gives:
% 75.81/10.76 | (75) ? [v0: $i] : ? [v1: any] : (( ~ (v1 = all_65_17) & host(all_65_18) =
% 75.81/10.76 | v1 & $i(v1)) | (queue(all_65_17) = v0 & $i(v0) & ~
% 75.81/10.76 | elem(all_65_15, v0)))
% 75.81/10.76 |
% 75.81/10.76 | GROUND_INST: instantiating (2) with all_65_15, all_65_21, all_65_16,
% 75.81/10.76 | simplifying with (21), (25), (48) gives:
% 75.81/10.76 | (76) elem(all_65_15, all_65_16)
% 75.81/10.76 |
% 75.81/10.76 | GROUND_INST: instantiating (3) with all_65_0, all_65_12, all_65_2, all_65_1,
% 75.81/10.76 | simplifying with (14), (26), (33), (34), (49) gives:
% 75.81/10.76 | (77) all_65_0 = all_65_12 | elem(all_65_0, all_65_2)
% 75.81/10.76 |
% 75.81/10.76 | DELTA: instantiating (64) with fresh symbol all_80_0 gives:
% 75.81/10.76 | (78) ~ (all_80_0 = all_65_5) & s(all_65_5) = all_80_0 & $i(all_80_0)
% 75.81/10.76 |
% 75.81/10.76 | ALPHA: (78) implies:
% 75.81/10.76 | (79) $i(all_80_0)
% 75.81/10.76 | (80) s(all_65_5) = all_80_0
% 75.81/10.76 |
% 75.81/10.76 | DELTA: instantiating (75) with fresh symbols all_101_0, all_101_1 gives:
% 75.81/10.76 | (81) ( ~ (all_101_0 = all_65_17) & host(all_65_18) = all_101_0 &
% 75.81/10.76 | $i(all_101_0)) | (queue(all_65_17) = all_101_1 & $i(all_101_1) & ~
% 75.81/10.76 | elem(all_65_15, all_101_1))
% 75.81/10.76 |
% 75.81/10.76 | DELTA: instantiating (74) with fresh symbols all_109_0, all_109_1, all_109_2
% 75.81/10.76 | gives:
% 75.81/10.76 | (82) host(all_65_6) = all_109_2 & $i(all_109_2) & (( ~ (all_109_1 = elec_1)
% 75.81/10.76 | & index(status, all_109_2) = all_109_1 & $i(all_109_1)) |
% 75.81/10.76 | (queue(all_109_2) = all_109_0 & $i(all_109_0) & ~ elem(all_65_0,
% 75.81/10.76 | all_109_0)))
% 75.81/10.76 |
% 75.81/10.76 | ALPHA: (82) implies:
% 75.81/10.76 | (83) $i(all_109_2)
% 75.81/10.76 | (84) host(all_65_6) = all_109_2
% 75.81/10.76 | (85) ( ~ (all_109_1 = elec_1) & index(status, all_109_2) = all_109_1 &
% 75.81/10.76 | $i(all_109_1)) | (queue(all_109_2) = all_109_0 & $i(all_109_0) & ~
% 75.81/10.76 | elem(all_65_0, all_109_0))
% 75.81/10.76 |
% 75.81/10.76 | DELTA: instantiating (71) with fresh symbols all_112_0, all_112_1, all_112_2
% 75.81/10.76 | gives:
% 75.81/10.76 | (86) (host(all_65_6) = all_112_0 & host(all_65_8) = all_112_1 &
% 75.81/10.76 | $i(all_112_0) & $i(all_112_1) & ~ leq(all_112_1, all_112_0)) |
% 75.81/10.76 | (queue(all_65_10) = all_112_2 & $i(all_112_2) & ~ elem(all_65_0,
% 75.81/10.76 | all_112_2))
% 75.81/10.76 |
% 75.81/10.77 | DELTA: instantiating (73) with fresh symbols all_113_0, all_113_1, all_113_2,
% 75.81/10.77 | all_113_3 gives:
% 75.81/10.77 | (87) host(all_65_6) = all_113_3 & $i(all_113_3) & ((index(pendack,
% 75.81/10.77 | all_113_3) = all_113_0 & host(all_65_8) = all_113_1 &
% 75.81/10.77 | $i(all_113_0) & $i(all_113_1) & leq(all_113_1, all_113_0)) |
% 75.81/10.77 | (queue(all_113_3) = all_113_2 & $i(all_113_2) & ~ elem(all_65_0,
% 75.81/10.77 | all_113_2)))
% 75.81/10.77 |
% 75.81/10.77 | ALPHA: (87) implies:
% 75.81/10.77 | (88) host(all_65_6) = all_113_3
% 75.81/10.77 | (89) (index(pendack, all_113_3) = all_113_0 & host(all_65_8) = all_113_1 &
% 75.81/10.77 | $i(all_113_0) & $i(all_113_1) & leq(all_113_1, all_113_0)) |
% 75.81/10.77 | (queue(all_113_3) = all_113_2 & $i(all_113_2) & ~ elem(all_65_0,
% 75.81/10.77 | all_113_2))
% 75.81/10.77 |
% 75.81/10.77 | DELTA: instantiating (72) with fresh symbols all_123_0, all_123_1, all_123_2,
% 75.81/10.77 | all_123_3, all_123_4 gives:
% 76.02/10.77 | (90) ( ~ (all_123_1 = elec_2) & index(status, all_65_17) = all_123_1 &
% 76.02/10.77 | $i(all_123_1)) | ( ~ (all_123_2 = elec_2) & index(status, all_123_3)
% 76.02/10.77 | = all_123_2 & host(all_65_6) = all_123_3 & $i(all_123_2) &
% 76.02/10.77 | $i(all_123_3)) | ( ~ (all_123_4 = all_65_17) & host(all_65_8) =
% 76.02/10.77 | all_123_4 & $i(all_123_4)) | (host(all_65_6) = all_123_3 &
% 76.02/10.77 | queue(all_123_3) = all_123_0 & $i(all_123_0) & $i(all_123_3) & ~
% 76.02/10.77 | elem(all_65_0, all_123_0))
% 76.02/10.77 |
% 76.02/10.77 | BETA: splitting (81) gives:
% 76.02/10.77 |
% 76.02/10.77 | Case 1:
% 76.02/10.77 | |
% 76.02/10.77 | | (91) ~ (all_101_0 = all_65_17) & host(all_65_18) = all_101_0 &
% 76.02/10.77 | | $i(all_101_0)
% 76.02/10.77 | |
% 76.02/10.77 | | ALPHA: (91) implies:
% 76.02/10.77 | | (92) ~ (all_101_0 = all_65_17)
% 76.02/10.77 | | (93) $i(all_101_0)
% 76.02/10.77 | | (94) host(all_65_18) = all_101_0
% 76.02/10.77 | |
% 76.02/10.77 | | GROUND_INST: instantiating (9) with all_65_14, all_101_0, all_65_18,
% 76.02/10.77 | | simplifying with (38), (94) gives:
% 76.02/10.77 | | (95) all_101_0 = all_65_14
% 76.02/10.77 | |
% 76.02/10.77 | | GROUND_INST: instantiating (9) with all_65_10, all_113_3, all_65_6,
% 76.02/10.77 | | simplifying with (43), (88) gives:
% 76.02/10.77 | | (96) all_113_3 = all_65_10
% 76.02/10.77 | |
% 76.02/10.77 | | GROUND_INST: instantiating (9) with all_109_2, all_113_3, all_65_6,
% 76.02/10.77 | | simplifying with (84), (88) gives:
% 76.02/10.77 | | (97) all_113_3 = all_109_2
% 76.02/10.77 | |
% 76.02/10.77 | | GROUND_INST: instantiating (10) with all_65_4, all_80_0, all_65_5,
% 76.02/10.77 | | simplifying with (45), (80) gives:
% 76.02/10.77 | | (98) all_80_0 = all_65_4
% 76.02/10.77 | |
% 76.02/10.77 | | COMBINE_EQS: (96), (97) imply:
% 76.02/10.77 | | (99) all_109_2 = all_65_10
% 76.02/10.77 | |
% 76.02/10.77 | | REDUCE: (92), (95) imply:
% 76.02/10.77 | | (100) ~ (all_65_14 = all_65_17)
% 76.02/10.77 | |
% 76.02/10.77 | | REDUCE: (83), (99) imply:
% 76.02/10.77 | | (101) $i(all_65_10)
% 76.02/10.77 | |
% 76.02/10.77 | | REDUCE: (93), (95) imply:
% 76.02/10.77 | | (102) $i(all_65_14)
% 76.02/10.77 | |
% 76.02/10.77 | | REDUCE: (79), (98) imply:
% 76.02/10.77 | | (103) $i(all_65_4)
% 76.02/10.77 | |
% 76.02/10.77 | | GROUND_INST: instantiating (4) with nbr_proc, all_65_14, simplifying with
% 76.02/10.77 | | (6), (18), (62), (102) gives:
% 76.02/10.77 | | (104) all_65_14 = nbr_proc
% 76.02/10.77 | |
% 76.02/10.77 | | GROUND_INST: instantiating (axiom_62) with all_65_5, nbr_proc, all_65_14,
% 76.02/10.77 | | simplifying with (6), (18), (32), (65), (102) gives:
% 76.02/10.77 | | (105) leq(all_65_5, all_65_14)
% 76.02/10.77 | |
% 76.02/10.77 | | GROUND_INST: instantiating (4) with nbr_proc, all_65_4, simplifying with
% 76.02/10.77 | | (6), (19), (66), (103) gives:
% 76.02/10.77 | | (106) all_65_4 = nbr_proc
% 76.02/10.77 | |
% 76.02/10.77 | | REDUCE: (100), (104) imply:
% 76.02/10.77 | | (107) ~ (all_65_17 = nbr_proc)
% 76.02/10.77 | |
% 76.02/10.77 | | SIMP: (107) implies:
% 76.02/10.77 | | (108) ~ (all_65_17 = nbr_proc)
% 76.02/10.77 | |
% 76.02/10.77 | | REDUCE: (50), (104) imply:
% 76.02/10.77 | | (109) index(pendack, all_65_17) = nbr_proc
% 76.02/10.77 | |
% 76.02/10.77 | | REDUCE: (45), (106) imply:
% 76.02/10.77 | | (110) s(all_65_5) = nbr_proc
% 76.02/10.77 | |
% 76.02/10.77 | | REDUCE: (20), (104) imply:
% 76.02/10.77 | | (111) leq(all_65_17, nbr_proc)
% 76.02/10.77 | |
% 76.02/10.77 | | BETA: splitting (69) gives:
% 76.02/10.77 | |
% 76.02/10.77 | | Case 1:
% 76.02/10.77 | | |
% 76.02/10.77 | | | (112) leq(all_65_10, all_65_17)
% 76.02/10.77 | | |
% 76.02/10.77 | | | GROUND_INST: instantiating (5) with all_65_17, all_65_5, nbr_proc,
% 76.02/10.77 | | | simplifying with (24), (32), (110), (111) gives:
% 76.02/10.77 | | | (113) all_65_17 = nbr_proc | leq(all_65_17, all_65_5)
% 76.02/10.77 | | |
% 76.02/10.77 | | | BETA: splitting (113) gives:
% 76.02/10.77 | | |
% 76.02/10.77 | | | Case 1:
% 76.02/10.77 | | | |
% 76.02/10.77 | | | | (114) leq(all_65_17, all_65_5)
% 76.02/10.77 | | | |
% 76.02/10.77 | | | | BETA: splitting (67) gives:
% 76.02/10.77 | | | |
% 76.02/10.77 | | | | Case 1:
% 76.02/10.77 | | | | |
% 76.02/10.77 | | | | | (115) leq(all_65_17, all_65_10)
% 76.02/10.77 | | | | |
% 76.02/10.77 | | | | | GROUND_INST: instantiating (4) with all_65_10, all_65_17, simplifying
% 76.02/10.77 | | | | | with (24), (101), (112), (115) gives:
% 76.02/10.77 | | | | | (116) all_65_10 = all_65_17
% 76.02/10.77 | | | | |
% 76.02/10.77 | | | | | REDUCE: (13), (116) imply:
% 76.02/10.77 | | | | | (117) $false
% 76.02/10.77 | | | | |
% 76.02/10.77 | | | | | CLOSE: (117) is inconsistent.
% 76.02/10.77 | | | | |
% 76.02/10.77 | | | | Case 2:
% 76.02/10.77 | | | | |
% 76.02/10.77 | | | | | (118) ~ leq(all_65_17, all_65_10)
% 76.02/10.78 | | | | | (119) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (( ~
% 76.02/10.78 | | | | | (v1 = elec_2) & index(status, all_65_10) = v1 & $i(v1)) |
% 76.02/10.78 | | | | | ( ~ (v0 = elec_2) & index(status, all_65_17) = v0 & $i(v0))
% 76.02/10.78 | | | | | | (index(pendack, all_65_10) = v3 & index(pendack,
% 76.02/10.78 | | | | | all_65_17) = v2 & $i(v3) & $i(v2) & ~ leq(v2, v3)))
% 76.02/10.78 | | | | |
% 76.02/10.78 | | | | | DELTA: instantiating (119) with fresh symbols all_255_0, all_255_1,
% 76.02/10.78 | | | | | all_255_2, all_255_3 gives:
% 76.02/10.78 | | | | | (120) ( ~ (all_255_2 = elec_2) & index(status, all_65_10) =
% 76.02/10.78 | | | | | all_255_2 & $i(all_255_2)) | ( ~ (all_255_3 = elec_2) &
% 76.02/10.78 | | | | | index(status, all_65_17) = all_255_3 & $i(all_255_3)) |
% 76.02/10.78 | | | | | (index(pendack, all_65_10) = all_255_0 & index(pendack,
% 76.02/10.78 | | | | | all_65_17) = all_255_1 & $i(all_255_0) & $i(all_255_1) &
% 76.02/10.78 | | | | | ~ leq(all_255_1, all_255_0))
% 76.02/10.78 | | | | |
% 76.02/10.78 | | | | | BETA: splitting (68) gives:
% 76.02/10.78 | | | | |
% 76.02/10.78 | | | | | Case 1:
% 76.02/10.78 | | | | | |
% 76.02/10.78 | | | | | | (121) leq(all_65_17, all_65_10)
% 76.02/10.78 | | | | | |
% 76.02/10.78 | | | | | | PRED_UNIFY: (118), (121) imply:
% 76.02/10.78 | | | | | | (122) $false
% 76.02/10.78 | | | | | |
% 76.02/10.78 | | | | | | CLOSE: (122) is inconsistent.
% 76.02/10.78 | | | | | |
% 76.02/10.78 | | | | | Case 2:
% 76.02/10.78 | | | | | |
% 76.02/10.78 | | | | | | (123) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (( ~ (v1 =
% 76.02/10.78 | | | | | | elec_2) & index(status, all_65_10) = v1 & $i(v1)) | (
% 76.02/10.78 | | | | | | ~ (v0 = elec_2) & index(status, all_65_17) = v0 &
% 76.02/10.78 | | | | | | $i(v0)) | (index(pendack, all_65_10) = v2 & $i(v2) &
% 76.02/10.78 | | | | | | leq(v2, all_65_17)))
% 76.02/10.78 | | | | | |
% 76.02/10.78 | | | | | | DELTA: instantiating (123) with fresh symbols all_260_0, all_260_1,
% 76.02/10.78 | | | | | | all_260_2 gives:
% 76.02/10.78 | | | | | | (124) ( ~ (all_260_1 = elec_2) & index(status, all_65_10) =
% 76.02/10.78 | | | | | | all_260_1 & $i(all_260_1)) | ( ~ (all_260_2 = elec_2) &
% 76.02/10.78 | | | | | | index(status, all_65_17) = all_260_2 & $i(all_260_2)) |
% 76.02/10.78 | | | | | | (index(pendack, all_65_10) = all_260_0 & $i(all_260_0) &
% 76.02/10.78 | | | | | | leq(all_260_0, all_65_17))
% 76.02/10.78 | | | | | |
% 76.02/10.78 | | | | | | BETA: splitting (120) gives:
% 76.02/10.78 | | | | | |
% 76.02/10.78 | | | | | | Case 1:
% 76.02/10.78 | | | | | | |
% 76.02/10.78 | | | | | | | (125) ~ (all_255_2 = elec_2) & index(status, all_65_10) =
% 76.02/10.78 | | | | | | | all_255_2 & $i(all_255_2)
% 76.02/10.78 | | | | | | |
% 76.02/10.78 | | | | | | | ALPHA: (125) implies:
% 76.02/10.78 | | | | | | | (126) ~ (all_255_2 = elec_2)
% 76.02/10.78 | | | | | | | (127) index(status, all_65_10) = all_255_2
% 76.02/10.78 | | | | | | |
% 76.02/10.78 | | | | | | | GROUND_INST: instantiating (11) with elec_2, all_255_2, all_65_10,
% 76.02/10.78 | | | | | | | status, simplifying with (53), (127) gives:
% 76.02/10.78 | | | | | | | (128) all_255_2 = elec_2
% 76.02/10.78 | | | | | | |
% 76.02/10.78 | | | | | | | REDUCE: (126), (128) imply:
% 76.02/10.78 | | | | | | | (129) $false
% 76.02/10.78 | | | | | | |
% 76.02/10.78 | | | | | | | CLOSE: (129) is inconsistent.
% 76.02/10.78 | | | | | | |
% 76.02/10.78 | | | | | | Case 2:
% 76.02/10.78 | | | | | | |
% 76.02/10.78 | | | | | | | (130) ( ~ (all_255_3 = elec_2) & index(status, all_65_17) =
% 76.02/10.78 | | | | | | | all_255_3 & $i(all_255_3)) | (index(pendack, all_65_10)
% 76.02/10.78 | | | | | | | = all_255_0 & index(pendack, all_65_17) = all_255_1 &
% 76.02/10.78 | | | | | | | $i(all_255_0) & $i(all_255_1) & ~ leq(all_255_1,
% 76.02/10.78 | | | | | | | all_255_0))
% 76.02/10.78 | | | | | | |
% 76.02/10.78 | | | | | | | BETA: splitting (130) gives:
% 76.02/10.78 | | | | | | |
% 76.02/10.78 | | | | | | | Case 1:
% 76.02/10.78 | | | | | | | |
% 76.02/10.78 | | | | | | | | (131) ~ (all_255_3 = elec_2) & index(status, all_65_17) =
% 76.02/10.78 | | | | | | | | all_255_3 & $i(all_255_3)
% 76.02/10.78 | | | | | | | |
% 76.02/10.78 | | | | | | | | ALPHA: (131) implies:
% 76.02/10.78 | | | | | | | | (132) ~ (all_255_3 = elec_2)
% 76.02/10.78 | | | | | | | | (133) index(status, all_65_17) = all_255_3
% 76.02/10.78 | | | | | | | |
% 76.02/10.78 | | | | | | | | GROUND_INST: instantiating (11) with elec_2, all_255_3,
% 76.02/10.78 | | | | | | | | all_65_17, status, simplifying with (52), (133)
% 76.02/10.78 | | | | | | | | gives:
% 76.02/10.78 | | | | | | | | (134) all_255_3 = elec_2
% 76.02/10.78 | | | | | | | |
% 76.02/10.78 | | | | | | | | REDUCE: (132), (134) imply:
% 76.02/10.78 | | | | | | | | (135) $false
% 76.02/10.78 | | | | | | | |
% 76.02/10.78 | | | | | | | | CLOSE: (135) is inconsistent.
% 76.02/10.78 | | | | | | | |
% 76.02/10.78 | | | | | | | Case 2:
% 76.02/10.78 | | | | | | | |
% 76.02/10.78 | | | | | | | | (136) index(pendack, all_65_10) = all_255_0 & index(pendack,
% 76.02/10.78 | | | | | | | | all_65_17) = all_255_1 & $i(all_255_0) &
% 76.02/10.78 | | | | | | | | $i(all_255_1) & ~ leq(all_255_1, all_255_0)
% 76.02/10.78 | | | | | | | |
% 76.02/10.78 | | | | | | | | ALPHA: (136) implies:
% 76.02/10.78 | | | | | | | | (137) index(pendack, all_65_10) = all_255_0
% 76.02/10.78 | | | | | | | |
% 76.02/10.78 | | | | | | | | BETA: splitting (124) gives:
% 76.02/10.78 | | | | | | | |
% 76.02/10.78 | | | | | | | | Case 1:
% 76.02/10.78 | | | | | | | | |
% 76.02/10.78 | | | | | | | | | (138) ~ (all_260_1 = elec_2) & index(status, all_65_10) =
% 76.02/10.78 | | | | | | | | | all_260_1 & $i(all_260_1)
% 76.02/10.78 | | | | | | | | |
% 76.02/10.78 | | | | | | | | | ALPHA: (138) implies:
% 76.02/10.78 | | | | | | | | | (139) ~ (all_260_1 = elec_2)
% 76.02/10.78 | | | | | | | | | (140) index(status, all_65_10) = all_260_1
% 76.02/10.78 | | | | | | | | |
% 76.02/10.78 | | | | | | | | | GROUND_INST: instantiating (11) with elec_2, all_260_1,
% 76.02/10.78 | | | | | | | | | all_65_10, status, simplifying with (53), (140)
% 76.02/10.78 | | | | | | | | | gives:
% 76.02/10.78 | | | | | | | | | (141) all_260_1 = elec_2
% 76.02/10.78 | | | | | | | | |
% 76.02/10.78 | | | | | | | | | REDUCE: (139), (141) imply:
% 76.02/10.78 | | | | | | | | | (142) $false
% 76.02/10.78 | | | | | | | | |
% 76.02/10.78 | | | | | | | | | CLOSE: (142) is inconsistent.
% 76.02/10.78 | | | | | | | | |
% 76.02/10.78 | | | | | | | | Case 2:
% 76.02/10.78 | | | | | | | | |
% 76.02/10.78 | | | | | | | | | (143) ( ~ (all_260_2 = elec_2) & index(status, all_65_17) =
% 76.02/10.78 | | | | | | | | | all_260_2 & $i(all_260_2)) | (index(pendack,
% 76.02/10.78 | | | | | | | | | all_65_10) = all_260_0 & $i(all_260_0) &
% 76.02/10.78 | | | | | | | | | leq(all_260_0, all_65_17))
% 76.02/10.78 | | | | | | | | |
% 76.02/10.78 | | | | | | | | | BETA: splitting (143) gives:
% 76.02/10.78 | | | | | | | | |
% 76.02/10.78 | | | | | | | | | Case 1:
% 76.02/10.78 | | | | | | | | | |
% 76.02/10.78 | | | | | | | | | | (144) ~ (all_260_2 = elec_2) & index(status, all_65_17)
% 76.02/10.78 | | | | | | | | | | = all_260_2 & $i(all_260_2)
% 76.02/10.78 | | | | | | | | | |
% 76.02/10.78 | | | | | | | | | | ALPHA: (144) implies:
% 76.02/10.78 | | | | | | | | | | (145) ~ (all_260_2 = elec_2)
% 76.02/10.78 | | | | | | | | | | (146) index(status, all_65_17) = all_260_2
% 76.02/10.78 | | | | | | | | | |
% 76.02/10.78 | | | | | | | | | | GROUND_INST: instantiating (11) with elec_2, all_260_2,
% 76.02/10.78 | | | | | | | | | | all_65_17, status, simplifying with (52), (146)
% 76.02/10.78 | | | | | | | | | | gives:
% 76.02/10.78 | | | | | | | | | | (147) all_260_2 = elec_2
% 76.02/10.78 | | | | | | | | | |
% 76.02/10.78 | | | | | | | | | | REDUCE: (145), (147) imply:
% 76.02/10.78 | | | | | | | | | | (148) $false
% 76.02/10.78 | | | | | | | | | |
% 76.02/10.78 | | | | | | | | | | CLOSE: (148) is inconsistent.
% 76.02/10.78 | | | | | | | | | |
% 76.02/10.78 | | | | | | | | | Case 2:
% 76.02/10.78 | | | | | | | | | |
% 76.02/10.78 | | | | | | | | | | (149) index(pendack, all_65_10) = all_260_0 &
% 76.02/10.78 | | | | | | | | | | $i(all_260_0) & leq(all_260_0, all_65_17)
% 76.02/10.78 | | | | | | | | | |
% 76.02/10.78 | | | | | | | | | | ALPHA: (149) implies:
% 76.02/10.78 | | | | | | | | | | (150) leq(all_260_0, all_65_17)
% 76.02/10.78 | | | | | | | | | | (151) index(pendack, all_65_10) = all_260_0
% 76.02/10.78 | | | | | | | | | |
% 76.02/10.78 | | | | | | | | | | GROUND_INST: instantiating (11) with all_65_5, all_260_0,
% 76.02/10.78 | | | | | | | | | | all_65_10, pendack, simplifying with (51), (151)
% 76.02/10.78 | | | | | | | | | | gives:
% 76.02/10.78 | | | | | | | | | | (152) all_260_0 = all_65_5
% 76.02/10.78 | | | | | | | | | |
% 76.02/10.78 | | | | | | | | | | GROUND_INST: instantiating (11) with all_255_0, all_260_0,
% 76.02/10.78 | | | | | | | | | | all_65_10, pendack, simplifying with (137), (151)
% 76.02/10.78 | | | | | | | | | | gives:
% 76.02/10.78 | | | | | | | | | | (153) all_260_0 = all_255_0
% 76.02/10.78 | | | | | | | | | |
% 76.02/10.78 | | | | | | | | | | COMBINE_EQS: (152), (153) imply:
% 76.02/10.78 | | | | | | | | | | (154) all_255_0 = all_65_5
% 76.02/10.78 | | | | | | | | | |
% 76.02/10.78 | | | | | | | | | | REDUCE: (150), (152) imply:
% 76.02/10.78 | | | | | | | | | | (155) leq(all_65_5, all_65_17)
% 76.02/10.78 | | | | | | | | | |
% 76.02/10.78 | | | | | | | | | | BETA: splitting (77) gives:
% 76.02/10.78 | | | | | | | | | |
% 76.02/10.78 | | | | | | | | | | Case 1:
% 76.02/10.78 | | | | | | | | | | |
% 76.02/10.78 | | | | | | | | | | | (156) elem(all_65_0, all_65_2)
% 76.02/10.78 | | | | | | | | | | |
% 76.02/10.78 | | | | | | | | | | | BETA: splitting (85) gives:
% 76.02/10.78 | | | | | | | | | | |
% 76.02/10.78 | | | | | | | | | | | Case 1:
% 76.02/10.78 | | | | | | | | | | | |
% 76.02/10.78 | | | | | | | | | | | | (157) ~ (all_109_1 = elec_1) & index(status, all_109_2)
% 76.02/10.78 | | | | | | | | | | | | = all_109_1 & $i(all_109_1)
% 76.02/10.78 | | | | | | | | | | | |
% 76.02/10.78 | | | | | | | | | | | | ALPHA: (157) implies:
% 76.02/10.78 | | | | | | | | | | | | (158) index(status, all_109_2) = all_109_1
% 76.02/10.78 | | | | | | | | | | | |
% 76.02/10.78 | | | | | | | | | | | | REDUCE: (99), (158) imply:
% 76.02/10.78 | | | | | | | | | | | | (159) index(status, all_65_10) = all_109_1
% 76.02/10.78 | | | | | | | | | | | |
% 76.02/10.78 | | | | | | | | | | | | BETA: splitting (86) gives:
% 76.02/10.78 | | | | | | | | | | | |
% 76.02/10.78 | | | | | | | | | | | | Case 1:
% 76.02/10.78 | | | | | | | | | | | | |
% 76.02/10.78 | | | | | | | | | | | | | (160) host(all_65_6) = all_112_0 & host(all_65_8) =
% 76.02/10.78 | | | | | | | | | | | | | all_112_1 & $i(all_112_0) & $i(all_112_1) & ~
% 76.02/10.78 | | | | | | | | | | | | | leq(all_112_1, all_112_0)
% 76.02/10.78 | | | | | | | | | | | | |
% 76.02/10.78 | | | | | | | | | | | | | ALPHA: (160) implies:
% 76.02/10.79 | | | | | | | | | | | | | (161) $i(all_112_1)
% 76.02/10.79 | | | | | | | | | | | | | (162) host(all_65_8) = all_112_1
% 76.02/10.79 | | | | | | | | | | | | | (163) host(all_65_6) = all_112_0
% 76.02/10.79 | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | BETA: splitting (89) gives:
% 76.02/10.79 | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | Case 1:
% 76.02/10.79 | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | (164) index(pendack, all_113_3) = all_113_0 &
% 76.02/10.79 | | | | | | | | | | | | | | host(all_65_8) = all_113_1 & $i(all_113_0) &
% 76.02/10.79 | | | | | | | | | | | | | | $i(all_113_1) & leq(all_113_1, all_113_0)
% 76.02/10.79 | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | ALPHA: (164) implies:
% 76.02/10.79 | | | | | | | | | | | | | | (165) host(all_65_8) = all_113_1
% 76.02/10.79 | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | BETA: splitting (90) gives:
% 76.02/10.79 | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | Case 1:
% 76.02/10.79 | | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | | (166) ( ~ (all_123_1 = elec_2) & index(status,
% 76.02/10.79 | | | | | | | | | | | | | | | all_65_17) = all_123_1 & $i(all_123_1)) | ( ~
% 76.02/10.79 | | | | | | | | | | | | | | | (all_123_2 = elec_2) & index(status, all_123_3)
% 76.02/10.79 | | | | | | | | | | | | | | | = all_123_2 & host(all_65_6) = all_123_3 &
% 76.02/10.79 | | | | | | | | | | | | | | | $i(all_123_2) & $i(all_123_3))
% 76.02/10.79 | | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 76.02/10.79 | | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | | Case 1:
% 76.02/10.79 | | | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | | | (167) ~ (all_123_1 = elec_2) & index(status, all_65_17)
% 76.02/10.79 | | | | | | | | | | | | | | | | = all_123_1 & $i(all_123_1)
% 76.02/10.79 | | | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | | | ALPHA: (167) implies:
% 76.02/10.79 | | | | | | | | | | | | | | | | (168) ~ (all_123_1 = elec_2)
% 76.02/10.79 | | | | | | | | | | | | | | | | (169) index(status, all_65_17) = all_123_1
% 76.02/10.79 | | | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with elec_2, all_123_1,
% 76.02/10.79 | | | | | | | | | | | | | | | | all_65_17, status, simplifying with (52), (169)
% 76.02/10.79 | | | | | | | | | | | | | | | | gives:
% 76.02/10.79 | | | | | | | | | | | | | | | | (170) all_123_1 = elec_2
% 76.02/10.79 | | | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | | | REDUCE: (168), (170) imply:
% 76.02/10.79 | | | | | | | | | | | | | | | | (171) $false
% 76.02/10.79 | | | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | | | CLOSE: (171) is inconsistent.
% 76.02/10.79 | | | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | | Case 2:
% 76.02/10.79 | | | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | | | (172) ~ (all_123_2 = elec_2) & index(status, all_123_3)
% 76.02/10.79 | | | | | | | | | | | | | | | | = all_123_2 & host(all_65_6) = all_123_3 &
% 76.02/10.79 | | | | | | | | | | | | | | | | $i(all_123_2) & $i(all_123_3)
% 76.02/10.79 | | | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | | | ALPHA: (172) implies:
% 76.02/10.79 | | | | | | | | | | | | | | | | (173) ~ (all_123_2 = elec_2)
% 76.02/10.79 | | | | | | | | | | | | | | | | (174) host(all_65_6) = all_123_3
% 76.02/10.79 | | | | | | | | | | | | | | | | (175) index(status, all_123_3) = all_123_2
% 76.02/10.79 | | | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_65_10, all_123_3,
% 76.02/10.79 | | | | | | | | | | | | | | | | all_65_6, simplifying with (43), (174) gives:
% 76.02/10.79 | | | | | | | | | | | | | | | | (176) all_123_3 = all_65_10
% 76.02/10.79 | | | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_112_0, all_123_3,
% 76.02/10.79 | | | | | | | | | | | | | | | | all_65_6, simplifying with (163), (174) gives:
% 76.02/10.79 | | | | | | | | | | | | | | | | (177) all_123_3 = all_112_0
% 76.02/10.79 | | | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with elec_2, all_109_1,
% 76.02/10.79 | | | | | | | | | | | | | | | | all_65_10, status, simplifying with (53), (159)
% 76.02/10.79 | | | | | | | | | | | | | | | | gives:
% 76.02/10.79 | | | | | | | | | | | | | | | | (178) all_109_1 = elec_2
% 76.02/10.79 | | | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | | | COMBINE_EQS: (176), (177) imply:
% 76.02/10.79 | | | | | | | | | | | | | | | | (179) all_112_0 = all_65_10
% 76.02/10.79 | | | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | | | REDUCE: (175), (176) imply:
% 76.02/10.79 | | | | | | | | | | | | | | | | (180) index(status, all_65_10) = all_123_2
% 76.02/10.79 | | | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with elec_2, all_123_2,
% 76.02/10.79 | | | | | | | | | | | | | | | | all_65_10, status, simplifying with (53), (180)
% 76.02/10.79 | | | | | | | | | | | | | | | | gives:
% 76.02/10.79 | | | | | | | | | | | | | | | | (181) all_123_2 = elec_2
% 76.02/10.79 | | | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | | | REDUCE: (173), (181) imply:
% 76.02/10.79 | | | | | | | | | | | | | | | | (182) $false
% 76.02/10.79 | | | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | | | CLOSE: (182) is inconsistent.
% 76.02/10.79 | | | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | | End of split
% 76.02/10.79 | | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | Case 2:
% 76.02/10.79 | | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | | (183) ( ~ (all_123_4 = all_65_17) & host(all_65_8) =
% 76.02/10.79 | | | | | | | | | | | | | | | all_123_4 & $i(all_123_4)) | (host(all_65_6) =
% 76.02/10.79 | | | | | | | | | | | | | | | all_123_3 & queue(all_123_3) = all_123_0 &
% 76.02/10.79 | | | | | | | | | | | | | | | $i(all_123_0) & $i(all_123_3) & ~
% 76.02/10.79 | | | | | | | | | | | | | | | elem(all_65_0, all_123_0))
% 76.02/10.79 | | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | | BETA: splitting (183) gives:
% 76.02/10.79 | | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | | Case 1:
% 76.02/10.79 | | | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | | | (184) ~ (all_123_4 = all_65_17) & host(all_65_8) =
% 76.02/10.79 | | | | | | | | | | | | | | | | all_123_4 & $i(all_123_4)
% 76.02/10.79 | | | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | | | ALPHA: (184) implies:
% 76.02/10.79 | | | | | | | | | | | | | | | | (185) ~ (all_123_4 = all_65_17)
% 76.02/10.79 | | | | | | | | | | | | | | | | (186) host(all_65_8) = all_123_4
% 76.02/10.79 | | | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_65_5, all_113_1,
% 76.02/10.79 | | | | | | | | | | | | | | | | all_65_8, simplifying with (41), (165) gives:
% 76.02/10.79 | | | | | | | | | | | | | | | | (187) all_113_1 = all_65_5
% 76.02/10.79 | | | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_113_1, all_123_4,
% 76.02/10.79 | | | | | | | | | | | | | | | | all_65_8, simplifying with (165), (186) gives:
% 76.02/10.79 | | | | | | | | | | | | | | | | (188) all_123_4 = all_113_1
% 76.02/10.79 | | | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_112_1, all_123_4,
% 76.02/10.79 | | | | | | | | | | | | | | | | all_65_8, simplifying with (162), (186) gives:
% 76.02/10.79 | | | | | | | | | | | | | | | | (189) all_123_4 = all_112_1
% 76.02/10.79 | | | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | | | COMBINE_EQS: (188), (189) imply:
% 76.02/10.79 | | | | | | | | | | | | | | | | (190) all_113_1 = all_112_1
% 76.02/10.79 | | | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | | | SIMP: (190) implies:
% 76.02/10.79 | | | | | | | | | | | | | | | | (191) all_113_1 = all_112_1
% 76.02/10.79 | | | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | | | COMBINE_EQS: (187), (191) imply:
% 76.02/10.79 | | | | | | | | | | | | | | | | (192) all_112_1 = all_65_5
% 76.02/10.79 | | | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | | | SIMP: (192) implies:
% 76.02/10.79 | | | | | | | | | | | | | | | | (193) all_112_1 = all_65_5
% 76.02/10.79 | | | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | | | COMBINE_EQS: (189), (193) imply:
% 76.02/10.79 | | | | | | | | | | | | | | | | (194) all_123_4 = all_65_5
% 76.02/10.79 | | | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | | | REDUCE: (185), (194) imply:
% 76.02/10.79 | | | | | | | | | | | | | | | | (195) ~ (all_65_5 = all_65_17)
% 76.02/10.79 | | | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_65_17, all_65_5,
% 76.02/10.79 | | | | | | | | | | | | | | | | simplifying with (24), (32), (114), (155) gives:
% 76.02/10.79 | | | | | | | | | | | | | | | | (196) all_65_5 = all_65_17
% 76.02/10.79 | | | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | | | REDUCE: (195), (196) imply:
% 76.02/10.79 | | | | | | | | | | | | | | | | (197) $false
% 76.02/10.79 | | | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | | | CLOSE: (197) is inconsistent.
% 76.02/10.79 | | | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | | Case 2:
% 76.02/10.79 | | | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | | | (198) host(all_65_6) = all_123_3 & queue(all_123_3) =
% 76.02/10.79 | | | | | | | | | | | | | | | | all_123_0 & $i(all_123_0) & $i(all_123_3) & ~
% 76.02/10.79 | | | | | | | | | | | | | | | | elem(all_65_0, all_123_0)
% 76.02/10.79 | | | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | | | ALPHA: (198) implies:
% 76.02/10.79 | | | | | | | | | | | | | | | | (199) ~ elem(all_65_0, all_123_0)
% 76.02/10.79 | | | | | | | | | | | | | | | | (200) queue(all_123_3) = all_123_0
% 76.02/10.79 | | | | | | | | | | | | | | | | (201) host(all_65_6) = all_123_3
% 76.02/10.79 | | | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_65_10, all_123_3,
% 76.02/10.79 | | | | | | | | | | | | | | | | all_65_6, simplifying with (43), (201) gives:
% 76.02/10.79 | | | | | | | | | | | | | | | | (202) all_123_3 = all_65_10
% 76.02/10.79 | | | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | | | REDUCE: (200), (202) imply:
% 76.02/10.79 | | | | | | | | | | | | | | | | (203) queue(all_65_10) = all_123_0
% 76.02/10.79 | | | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (8) with all_65_2, all_123_0,
% 76.02/10.79 | | | | | | | | | | | | | | | | all_65_10, simplifying with (36), (203) gives:
% 76.02/10.79 | | | | | | | | | | | | | | | | (204) all_123_0 = all_65_2
% 76.02/10.79 | | | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | | | REDUCE: (199), (204) imply:
% 76.02/10.79 | | | | | | | | | | | | | | | | (205) ~ elem(all_65_0, all_65_2)
% 76.02/10.79 | | | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | | | PRED_UNIFY: (156), (205) imply:
% 76.02/10.79 | | | | | | | | | | | | | | | | (206) $false
% 76.02/10.79 | | | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | | | CLOSE: (206) is inconsistent.
% 76.02/10.79 | | | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | | End of split
% 76.02/10.79 | | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | End of split
% 76.02/10.79 | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | Case 2:
% 76.02/10.79 | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | (207) queue(all_113_3) = all_113_2 & $i(all_113_2) & ~
% 76.02/10.79 | | | | | | | | | | | | | | elem(all_65_0, all_113_2)
% 76.02/10.79 | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | ALPHA: (207) implies:
% 76.02/10.79 | | | | | | | | | | | | | | (208) ~ elem(all_65_0, all_113_2)
% 76.02/10.79 | | | | | | | | | | | | | | (209) queue(all_113_3) = all_113_2
% 76.02/10.79 | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | REDUCE: (96), (209) imply:
% 76.02/10.79 | | | | | | | | | | | | | | (210) queue(all_65_10) = all_113_2
% 76.02/10.79 | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | GROUND_INST: instantiating (8) with all_65_2, all_113_2,
% 76.02/10.79 | | | | | | | | | | | | | | all_65_10, simplifying with (36), (210) gives:
% 76.02/10.79 | | | | | | | | | | | | | | (211) all_113_2 = all_65_2
% 76.02/10.79 | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | REDUCE: (208), (211) imply:
% 76.02/10.79 | | | | | | | | | | | | | | (212) ~ elem(all_65_0, all_65_2)
% 76.02/10.79 | | | | | | | | | | | | | |
% 76.02/10.79 | | | | | | | | | | | | | | PRED_UNIFY: (156), (212) imply:
% 76.02/10.80 | | | | | | | | | | | | | | (213) $false
% 76.02/10.80 | | | | | | | | | | | | | |
% 76.02/10.80 | | | | | | | | | | | | | | CLOSE: (213) is inconsistent.
% 76.02/10.80 | | | | | | | | | | | | | |
% 76.02/10.80 | | | | | | | | | | | | | End of split
% 76.02/10.80 | | | | | | | | | | | | |
% 76.02/10.80 | | | | | | | | | | | | Case 2:
% 76.02/10.80 | | | | | | | | | | | | |
% 76.02/10.80 | | | | | | | | | | | | | (214) queue(all_65_10) = all_112_2 & $i(all_112_2) & ~
% 76.02/10.80 | | | | | | | | | | | | | elem(all_65_0, all_112_2)
% 76.02/10.80 | | | | | | | | | | | | |
% 76.02/10.80 | | | | | | | | | | | | | ALPHA: (214) implies:
% 76.02/10.80 | | | | | | | | | | | | | (215) ~ elem(all_65_0, all_112_2)
% 76.02/10.80 | | | | | | | | | | | | | (216) queue(all_65_10) = all_112_2
% 76.02/10.80 | | | | | | | | | | | | |
% 76.02/10.80 | | | | | | | | | | | | | GROUND_INST: instantiating (8) with all_65_2, all_112_2,
% 76.02/10.80 | | | | | | | | | | | | | all_65_10, simplifying with (36), (216) gives:
% 76.02/10.80 | | | | | | | | | | | | | (217) all_112_2 = all_65_2
% 76.02/10.80 | | | | | | | | | | | | |
% 76.02/10.80 | | | | | | | | | | | | | REDUCE: (215), (217) imply:
% 76.02/10.80 | | | | | | | | | | | | | (218) ~ elem(all_65_0, all_65_2)
% 76.02/10.80 | | | | | | | | | | | | |
% 76.02/10.80 | | | | | | | | | | | | | PRED_UNIFY: (156), (218) imply:
% 76.02/10.80 | | | | | | | | | | | | | (219) $false
% 76.02/10.80 | | | | | | | | | | | | |
% 76.02/10.80 | | | | | | | | | | | | | CLOSE: (219) is inconsistent.
% 76.02/10.80 | | | | | | | | | | | | |
% 76.02/10.80 | | | | | | | | | | | | End of split
% 76.02/10.80 | | | | | | | | | | | |
% 76.02/10.80 | | | | | | | | | | | Case 2:
% 76.02/10.80 | | | | | | | | | | | |
% 76.02/10.80 | | | | | | | | | | | | (220) queue(all_109_2) = all_109_0 & $i(all_109_0) & ~
% 76.02/10.80 | | | | | | | | | | | | elem(all_65_0, all_109_0)
% 76.02/10.80 | | | | | | | | | | | |
% 76.02/10.80 | | | | | | | | | | | | ALPHA: (220) implies:
% 76.02/10.80 | | | | | | | | | | | | (221) ~ elem(all_65_0, all_109_0)
% 76.02/10.80 | | | | | | | | | | | | (222) queue(all_109_2) = all_109_0
% 76.02/10.80 | | | | | | | | | | | |
% 76.02/10.80 | | | | | | | | | | | | REDUCE: (99), (222) imply:
% 76.02/10.80 | | | | | | | | | | | | (223) queue(all_65_10) = all_109_0
% 76.02/10.80 | | | | | | | | | | | |
% 76.02/10.80 | | | | | | | | | | | | GROUND_INST: instantiating (8) with all_65_2, all_109_0,
% 76.02/10.80 | | | | | | | | | | | | all_65_10, simplifying with (36), (223) gives:
% 76.02/10.80 | | | | | | | | | | | | (224) all_109_0 = all_65_2
% 76.02/10.80 | | | | | | | | | | | |
% 76.02/10.80 | | | | | | | | | | | | REDUCE: (221), (224) imply:
% 76.02/10.80 | | | | | | | | | | | | (225) ~ elem(all_65_0, all_65_2)
% 76.02/10.80 | | | | | | | | | | | |
% 76.02/10.80 | | | | | | | | | | | | PRED_UNIFY: (156), (225) imply:
% 76.02/10.80 | | | | | | | | | | | | (226) $false
% 76.02/10.80 | | | | | | | | | | | |
% 76.02/10.80 | | | | | | | | | | | | CLOSE: (226) is inconsistent.
% 76.02/10.80 | | | | | | | | | | | |
% 76.02/10.80 | | | | | | | | | | | End of split
% 76.02/10.80 | | | | | | | | | | |
% 76.02/10.80 | | | | | | | | | | Case 2:
% 76.02/10.80 | | | | | | | | | | |
% 76.02/10.80 | | | | | | | | | | | (227) all_65_0 = all_65_12
% 76.02/10.80 | | | | | | | | | | |
% 76.02/10.80 | | | | | | | | | | | REDUCE: (44), (227) imply:
% 76.02/10.80 | | | | | | | | | | | (228) m_Ack(all_65_6, all_65_8) = all_65_12
% 76.02/10.80 | | | | | | | | | | |
% 76.02/10.80 | | | | | | | | | | | GROUND_INST: instantiating (axiom_14) with all_65_6, all_65_8,
% 76.02/10.80 | | | | | | | | | | | all_65_19, all_65_12, simplifying with (22), (29),
% 76.02/10.80 | | | | | | | | | | | (31), (47), (228) gives:
% 76.02/10.80 | | | | | | | | | | | (229) $false
% 76.02/10.80 | | | | | | | | | | |
% 76.02/10.80 | | | | | | | | | | | CLOSE: (229) is inconsistent.
% 76.02/10.80 | | | | | | | | | | |
% 76.02/10.80 | | | | | | | | | | End of split
% 76.02/10.80 | | | | | | | | | |
% 76.02/10.80 | | | | | | | | | End of split
% 76.02/10.80 | | | | | | | | |
% 76.02/10.80 | | | | | | | | End of split
% 76.02/10.80 | | | | | | | |
% 76.02/10.80 | | | | | | | End of split
% 76.02/10.80 | | | | | | |
% 76.02/10.80 | | | | | | End of split
% 76.02/10.80 | | | | | |
% 76.02/10.80 | | | | | End of split
% 76.02/10.80 | | | | |
% 76.02/10.80 | | | | End of split
% 76.02/10.80 | | | |
% 76.02/10.80 | | | Case 2:
% 76.02/10.80 | | | |
% 76.02/10.80 | | | | (230) all_65_17 = nbr_proc
% 76.02/10.80 | | | |
% 76.02/10.80 | | | | REDUCE: (108), (230) imply:
% 76.02/10.80 | | | | (231) $false
% 76.02/10.80 | | | |
% 76.02/10.80 | | | | CLOSE: (231) is inconsistent.
% 76.02/10.80 | | | |
% 76.02/10.80 | | | End of split
% 76.02/10.80 | | |
% 76.02/10.80 | | Case 2:
% 76.02/10.80 | | |
% 76.02/10.80 | | | (232) ~ leq(all_65_10, all_65_17)
% 76.02/10.80 | | | (233) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (( ~ (v1
% 76.02/10.80 | | | = elec_2) & index(status, all_65_17) = v1 & $i(v1)) | ( ~
% 76.02/10.80 | | | (v0 = elec_2) & index(status, all_65_10) = v0 & $i(v0)) |
% 76.02/10.80 | | | (index(pendack, all_65_10) = v2 & index(pendack, all_65_17) =
% 76.02/10.80 | | | v3 & $i(v3) & $i(v2) & ~ leq(v2, v3)))
% 76.02/10.80 | | |
% 76.02/10.80 | | | DELTA: instantiating (233) with fresh symbols all_179_0, all_179_1,
% 76.02/10.80 | | | all_179_2, all_179_3 gives:
% 76.02/10.80 | | | (234) ( ~ (all_179_2 = elec_2) & index(status, all_65_17) = all_179_2 &
% 76.02/10.80 | | | $i(all_179_2)) | ( ~ (all_179_3 = elec_2) & index(status,
% 76.02/10.80 | | | all_65_10) = all_179_3 & $i(all_179_3)) | (index(pendack,
% 76.02/10.80 | | | all_65_10) = all_179_1 & index(pendack, all_65_17) =
% 76.02/10.80 | | | all_179_0 & $i(all_179_0) & $i(all_179_1) & ~ leq(all_179_1,
% 76.02/10.80 | | | all_179_0))
% 76.02/10.80 | | |
% 76.02/10.80 | | | BETA: splitting (234) gives:
% 76.02/10.80 | | |
% 76.02/10.80 | | | Case 1:
% 76.02/10.80 | | | |
% 76.02/10.80 | | | | (235) ~ (all_179_2 = elec_2) & index(status, all_65_17) = all_179_2
% 76.02/10.80 | | | | & $i(all_179_2)
% 76.02/10.80 | | | |
% 76.02/10.80 | | | | ALPHA: (235) implies:
% 76.02/10.80 | | | | (236) ~ (all_179_2 = elec_2)
% 76.02/10.80 | | | | (237) index(status, all_65_17) = all_179_2
% 76.02/10.80 | | | |
% 76.02/10.80 | | | | GROUND_INST: instantiating (11) with elec_2, all_179_2, all_65_17,
% 76.02/10.80 | | | | status, simplifying with (52), (237) gives:
% 76.02/10.80 | | | | (238) all_179_2 = elec_2
% 76.02/10.80 | | | |
% 76.02/10.80 | | | | REDUCE: (236), (238) imply:
% 76.02/10.80 | | | | (239) $false
% 76.02/10.80 | | | |
% 76.02/10.80 | | | | CLOSE: (239) is inconsistent.
% 76.02/10.80 | | | |
% 76.02/10.80 | | | Case 2:
% 76.02/10.80 | | | |
% 76.02/10.80 | | | | (240) ( ~ (all_179_3 = elec_2) & index(status, all_65_10) = all_179_3
% 76.02/10.80 | | | | & $i(all_179_3)) | (index(pendack, all_65_10) = all_179_1 &
% 76.02/10.80 | | | | index(pendack, all_65_17) = all_179_0 & $i(all_179_0) &
% 76.02/10.80 | | | | $i(all_179_1) & ~ leq(all_179_1, all_179_0))
% 76.02/10.80 | | | |
% 76.02/10.80 | | | | BETA: splitting (240) gives:
% 76.02/10.80 | | | |
% 76.02/10.80 | | | | Case 1:
% 76.02/10.80 | | | | |
% 76.02/10.80 | | | | | (241) ~ (all_179_3 = elec_2) & index(status, all_65_10) =
% 76.02/10.80 | | | | | all_179_3 & $i(all_179_3)
% 76.02/10.80 | | | | |
% 76.02/10.80 | | | | | ALPHA: (241) implies:
% 76.02/10.80 | | | | | (242) ~ (all_179_3 = elec_2)
% 76.02/10.80 | | | | | (243) index(status, all_65_10) = all_179_3
% 76.02/10.80 | | | | |
% 76.02/10.80 | | | | | GROUND_INST: instantiating (11) with elec_2, all_179_3, all_65_10,
% 76.02/10.80 | | | | | status, simplifying with (53), (243) gives:
% 76.02/10.80 | | | | | (244) all_179_3 = elec_2
% 76.02/10.80 | | | | |
% 76.02/10.80 | | | | | REDUCE: (242), (244) imply:
% 76.02/10.80 | | | | | (245) $false
% 76.02/10.80 | | | | |
% 76.02/10.80 | | | | | CLOSE: (245) is inconsistent.
% 76.02/10.80 | | | | |
% 76.02/10.80 | | | | Case 2:
% 76.02/10.80 | | | | |
% 76.02/10.80 | | | | | (246) index(pendack, all_65_10) = all_179_1 & index(pendack,
% 76.02/10.80 | | | | | all_65_17) = all_179_0 & $i(all_179_0) & $i(all_179_1) & ~
% 76.02/10.80 | | | | | leq(all_179_1, all_179_0)
% 76.02/10.80 | | | | |
% 76.02/10.80 | | | | | ALPHA: (246) implies:
% 76.02/10.80 | | | | | (247) ~ leq(all_179_1, all_179_0)
% 76.02/10.80 | | | | | (248) index(pendack, all_65_17) = all_179_0
% 76.02/10.80 | | | | | (249) index(pendack, all_65_10) = all_179_1
% 76.02/10.80 | | | | |
% 76.02/10.80 | | | | | BETA: splitting (70) gives:
% 76.02/10.80 | | | | |
% 76.02/10.80 | | | | | Case 1:
% 76.02/10.80 | | | | | |
% 76.02/10.80 | | | | | | (250) leq(all_65_10, all_65_17)
% 76.02/10.80 | | | | | |
% 76.02/10.80 | | | | | | PRED_UNIFY: (232), (250) imply:
% 76.02/10.80 | | | | | | (251) $false
% 76.02/10.80 | | | | | |
% 76.02/10.80 | | | | | | CLOSE: (251) is inconsistent.
% 76.02/10.80 | | | | | |
% 76.02/10.80 | | | | | Case 2:
% 76.02/10.80 | | | | | |
% 76.02/10.80 | | | | | | (252) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (( ~ (v1 =
% 76.02/10.80 | | | | | | elec_2) & index(status, all_65_17) = v1 & $i(v1)) | (
% 76.02/10.80 | | | | | | ~ (v0 = elec_2) & index(status, all_65_10) = v0 &
% 76.02/10.80 | | | | | | $i(v0)) | (index(pendack, all_65_17) = v2 & $i(v2) &
% 76.02/10.80 | | | | | | leq(v2, all_65_10)))
% 76.02/10.80 | | | | | |
% 76.02/10.80 | | | | | | DELTA: instantiating (252) with fresh symbols all_192_0, all_192_1,
% 76.02/10.80 | | | | | | all_192_2 gives:
% 76.02/10.80 | | | | | | (253) ( ~ (all_192_1 = elec_2) & index(status, all_65_17) =
% 76.02/10.80 | | | | | | all_192_1 & $i(all_192_1)) | ( ~ (all_192_2 = elec_2) &
% 76.02/10.80 | | | | | | index(status, all_65_10) = all_192_2 & $i(all_192_2)) |
% 76.02/10.80 | | | | | | (index(pendack, all_65_17) = all_192_0 & $i(all_192_0) &
% 76.02/10.80 | | | | | | leq(all_192_0, all_65_10))
% 76.02/10.80 | | | | | |
% 76.02/10.80 | | | | | | BETA: splitting (253) gives:
% 76.02/10.80 | | | | | |
% 76.02/10.80 | | | | | | Case 1:
% 76.02/10.80 | | | | | | |
% 76.02/10.80 | | | | | | | (254) ~ (all_192_1 = elec_2) & index(status, all_65_17) =
% 76.02/10.80 | | | | | | | all_192_1 & $i(all_192_1)
% 76.02/10.80 | | | | | | |
% 76.02/10.80 | | | | | | | ALPHA: (254) implies:
% 76.02/10.80 | | | | | | | (255) ~ (all_192_1 = elec_2)
% 76.02/10.80 | | | | | | | (256) index(status, all_65_17) = all_192_1
% 76.02/10.80 | | | | | | |
% 76.02/10.80 | | | | | | | GROUND_INST: instantiating (11) with elec_2, all_192_1, all_65_17,
% 76.02/10.80 | | | | | | | status, simplifying with (52), (256) gives:
% 76.02/10.80 | | | | | | | (257) all_192_1 = elec_2
% 76.02/10.80 | | | | | | |
% 76.02/10.80 | | | | | | | REDUCE: (255), (257) imply:
% 76.02/10.80 | | | | | | | (258) $false
% 76.02/10.80 | | | | | | |
% 76.02/10.80 | | | | | | | CLOSE: (258) is inconsistent.
% 76.02/10.80 | | | | | | |
% 76.02/10.80 | | | | | | Case 2:
% 76.02/10.80 | | | | | | |
% 76.02/10.81 | | | | | | | (259) ( ~ (all_192_2 = elec_2) & index(status, all_65_10) =
% 76.02/10.81 | | | | | | | all_192_2 & $i(all_192_2)) | (index(pendack, all_65_17)
% 76.02/10.81 | | | | | | | = all_192_0 & $i(all_192_0) & leq(all_192_0,
% 76.02/10.81 | | | | | | | all_65_10))
% 76.02/10.81 | | | | | | |
% 76.02/10.81 | | | | | | | BETA: splitting (259) gives:
% 76.02/10.81 | | | | | | |
% 76.02/10.81 | | | | | | | Case 1:
% 76.02/10.81 | | | | | | | |
% 76.02/10.81 | | | | | | | | (260) ~ (all_192_2 = elec_2) & index(status, all_65_10) =
% 76.02/10.81 | | | | | | | | all_192_2 & $i(all_192_2)
% 76.02/10.81 | | | | | | | |
% 76.02/10.81 | | | | | | | | ALPHA: (260) implies:
% 76.02/10.81 | | | | | | | | (261) ~ (all_192_2 = elec_2)
% 76.02/10.81 | | | | | | | | (262) index(status, all_65_10) = all_192_2
% 76.02/10.81 | | | | | | | |
% 76.02/10.81 | | | | | | | | GROUND_INST: instantiating (11) with elec_2, all_192_2,
% 76.02/10.81 | | | | | | | | all_65_10, status, simplifying with (53), (262)
% 76.02/10.81 | | | | | | | | gives:
% 76.02/10.81 | | | | | | | | (263) all_192_2 = elec_2
% 76.02/10.81 | | | | | | | |
% 76.02/10.81 | | | | | | | | REDUCE: (261), (263) imply:
% 76.02/10.81 | | | | | | | | (264) $false
% 76.02/10.81 | | | | | | | |
% 76.02/10.81 | | | | | | | | CLOSE: (264) is inconsistent.
% 76.02/10.81 | | | | | | | |
% 76.02/10.81 | | | | | | | Case 2:
% 76.02/10.81 | | | | | | | |
% 76.02/10.81 | | | | | | | | (265) index(pendack, all_65_17) = all_192_0 & $i(all_192_0) &
% 76.02/10.81 | | | | | | | | leq(all_192_0, all_65_10)
% 76.02/10.81 | | | | | | | |
% 76.02/10.81 | | | | | | | | ALPHA: (265) implies:
% 76.02/10.81 | | | | | | | | (266) index(pendack, all_65_17) = all_192_0
% 76.02/10.81 | | | | | | | |
% 76.02/10.81 | | | | | | | | GROUND_INST: instantiating (11) with all_179_0, all_192_0,
% 76.02/10.81 | | | | | | | | all_65_17, pendack, simplifying with (248), (266)
% 76.02/10.81 | | | | | | | | gives:
% 76.02/10.81 | | | | | | | | (267) all_192_0 = all_179_0
% 76.02/10.81 | | | | | | | |
% 76.02/10.81 | | | | | | | | GROUND_INST: instantiating (11) with nbr_proc, all_192_0,
% 76.02/10.81 | | | | | | | | all_65_17, pendack, simplifying with (109), (266)
% 76.02/10.81 | | | | | | | | gives:
% 76.02/10.81 | | | | | | | | (268) all_192_0 = nbr_proc
% 76.02/10.81 | | | | | | | |
% 76.02/10.81 | | | | | | | | GROUND_INST: instantiating (11) with all_65_5, all_179_1,
% 76.02/10.81 | | | | | | | | all_65_10, pendack, simplifying with (51), (249)
% 76.02/10.81 | | | | | | | | gives:
% 76.02/10.81 | | | | | | | | (269) all_179_1 = all_65_5
% 76.02/10.81 | | | | | | | |
% 76.02/10.81 | | | | | | | | COMBINE_EQS: (267), (268) imply:
% 76.02/10.81 | | | | | | | | (270) all_179_0 = nbr_proc
% 76.02/10.81 | | | | | | | |
% 76.02/10.81 | | | | | | | | REDUCE: (247), (269), (270) imply:
% 76.02/10.81 | | | | | | | | (271) ~ leq(all_65_5, nbr_proc)
% 76.02/10.81 | | | | | | | |
% 76.02/10.81 | | | | | | | | PRED_UNIFY: (65), (271) imply:
% 76.02/10.81 | | | | | | | | (272) $false
% 76.02/10.81 | | | | | | | |
% 76.02/10.81 | | | | | | | | CLOSE: (272) is inconsistent.
% 76.02/10.81 | | | | | | | |
% 76.02/10.81 | | | | | | | End of split
% 76.02/10.81 | | | | | | |
% 76.02/10.81 | | | | | | End of split
% 76.02/10.81 | | | | | |
% 76.02/10.81 | | | | | End of split
% 76.02/10.81 | | | | |
% 76.02/10.81 | | | | End of split
% 76.02/10.81 | | | |
% 76.02/10.81 | | | End of split
% 76.02/10.81 | | |
% 76.02/10.81 | | End of split
% 76.02/10.81 | |
% 76.02/10.81 | Case 2:
% 76.02/10.81 | |
% 76.02/10.81 | | (273) queue(all_65_17) = all_101_1 & $i(all_101_1) & ~ elem(all_65_15,
% 76.02/10.81 | | all_101_1)
% 76.02/10.81 | |
% 76.02/10.81 | | ALPHA: (273) implies:
% 76.02/10.81 | | (274) ~ elem(all_65_15, all_101_1)
% 76.02/10.81 | | (275) queue(all_65_17) = all_101_1
% 76.02/10.81 | |
% 76.02/10.81 | | GROUND_INST: instantiating (8) with all_65_16, all_101_1, all_65_17,
% 76.02/10.81 | | simplifying with (35), (275) gives:
% 76.02/10.81 | | (276) all_101_1 = all_65_16
% 76.02/10.81 | |
% 76.02/10.81 | | REDUCE: (274), (276) imply:
% 76.02/10.81 | | (277) ~ elem(all_65_15, all_65_16)
% 76.02/10.81 | |
% 76.02/10.81 | | PRED_UNIFY: (76), (277) imply:
% 76.02/10.81 | | (278) $false
% 76.02/10.81 | |
% 76.02/10.81 | | CLOSE: (278) is inconsistent.
% 76.02/10.81 | |
% 76.02/10.81 | End of split
% 76.02/10.81 |
% 76.02/10.81 End of proof
% 76.02/10.81 % SZS output end Proof for theBenchmark
% 76.02/10.81
% 76.02/10.81 10197ms
%------------------------------------------------------------------------------