TSTP Solution File: SWV452+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SWV452+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 22:56:32 EDT 2023
% Result : Theorem 26.92s 4.31s
% Output : Proof 37.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV452+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n025.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 07:48:55 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.60 ________ _____
% 0.20/0.60 ___ __ \_________(_)________________________________
% 0.20/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.60
% 0.20/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.60 (2023-06-19)
% 0.20/0.60
% 0.20/0.60 (c) Philipp Rümmer, 2009-2023
% 0.20/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.60 Amanda Stjerna.
% 0.20/0.60 Free software under BSD-3-Clause.
% 0.20/0.60
% 0.20/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.60
% 0.20/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.20/0.62 Running up to 7 provers in parallel.
% 0.20/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 0.20/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 3.50/1.19 Prover 1: Preprocessing ...
% 3.50/1.20 Prover 4: Preprocessing ...
% 3.50/1.24 Prover 5: Preprocessing ...
% 3.50/1.24 Prover 3: Preprocessing ...
% 3.50/1.24 Prover 2: Preprocessing ...
% 3.50/1.24 Prover 0: Preprocessing ...
% 3.50/1.24 Prover 6: Preprocessing ...
% 9.63/2.09 Prover 1: Constructing countermodel ...
% 9.63/2.10 Prover 3: Constructing countermodel ...
% 9.63/2.10 Prover 6: Proving ...
% 11.10/2.21 Prover 5: Proving ...
% 11.10/2.21 Prover 2: Proving ...
% 11.52/2.26 Prover 0: Proving ...
% 11.52/2.27 Prover 4: Constructing countermodel ...
% 17.27/3.07 Prover 3: gave up
% 17.67/3.08 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 17.67/3.14 Prover 7: Preprocessing ...
% 19.68/3.40 Prover 7: Warning: ignoring some quantifiers
% 19.68/3.44 Prover 7: Constructing countermodel ...
% 26.92/4.31 Prover 2: proved (3687ms)
% 26.92/4.31
% 26.92/4.31 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 26.92/4.31
% 26.92/4.32 Prover 0: stopped
% 26.92/4.32 Prover 6: stopped
% 26.92/4.32 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 26.92/4.32 Prover 5: stopped
% 26.92/4.33 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 26.92/4.33 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 26.92/4.34 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 27.55/4.38 Prover 8: Preprocessing ...
% 27.55/4.39 Prover 13: Preprocessing ...
% 27.78/4.41 Prover 11: Preprocessing ...
% 27.98/4.44 Prover 10: Preprocessing ...
% 28.66/4.57 Prover 8: Warning: ignoring some quantifiers
% 28.66/4.58 Prover 13: Warning: ignoring some quantifiers
% 28.66/4.58 Prover 8: Constructing countermodel ...
% 29.21/4.62 Prover 13: Constructing countermodel ...
% 29.21/4.62 Prover 10: Warning: ignoring some quantifiers
% 29.21/4.63 Prover 10: Constructing countermodel ...
% 29.83/4.72 Prover 11: Constructing countermodel ...
% 36.26/5.58 Prover 10: Found proof (size 116)
% 36.26/5.58 Prover 10: proved (1251ms)
% 36.26/5.58 Prover 11: stopped
% 36.26/5.58 Prover 7: stopped
% 36.26/5.58 Prover 1: stopped
% 36.26/5.58 Prover 8: stopped
% 36.26/5.58 Prover 4: stopped
% 36.26/5.58 Prover 13: stopped
% 36.26/5.58
% 36.26/5.58 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 36.26/5.58
% 36.26/5.59 % SZS output start Proof for theBenchmark
% 36.26/5.59 Assumptions after simplification:
% 36.26/5.59 ---------------------------------
% 36.26/5.59
% 36.26/5.60 (axiom_46)
% 36.81/5.62 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 36.81/5.62 (cons(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ elem(v0, v3) |
% 36.81/5.62 elem(v0, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 36.81/5.62 (cons(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ elem(v0, v2) |
% 36.81/5.62 elem(v0, v3)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (cons(v0, v1)
% 36.81/5.62 = v2) | ~ $i(v1) | ~ $i(v0) | elem(v0, v2))
% 36.81/5.62
% 36.81/5.62 (conj)
% 36.81/5.63 $i(elid) & $i(status) & $i(ldr) & $i(alive) & $i(norm) & $i(wait) & $i(zero) &
% 36.81/5.63 $i(pids) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i]
% 36.81/5.63 : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 36.81/5.63 [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : ?
% 36.81/5.63 [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: $i] : ?
% 36.81/5.64 [v20: $i] : ( ~ (v16 = v5) & ~ (v5 = v0) & index(status, v5) = v10 & cons(v7,
% 36.81/5.64 v1) = v6 & m_Down(v19) = v20 & m_Down(v14) = v17 & m_Down(v4) = v7 &
% 36.81/5.64 s(zero) = v0 & host(v19) = v16 & host(v15) = v16 & host(v14) = v5 &
% 36.81/5.64 host(v13) = v5 & host(v4) = v8 & host(v3) = v5 & host(v2) = v5 & queue(v16)
% 36.81/5.64 = v18 & queue(v5) = v6 & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) &
% 36.81/5.64 $i(v15) & $i(v14) & $i(v13) & $i(v10) & $i(v8) & $i(v7) & $i(v6) & $i(v5) &
% 36.81/5.64 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & setIn(v3, alive) & elem(v20,
% 36.81/5.64 v1) & elem(v17, v18) & ~ leq(v5, v8) & ~ setIn(v2, pids) & ! [v21: $i]
% 36.81/5.64 : ! [v22: $i] : ! [v23: $i] : ! [v24: $i] : ! [v25: $i] : ! [v26: $i] :
% 36.81/5.64 ! [v27: $i] : ! [v28: $i] : (v26 = v25 | ~ (m_Down(v24) = v27) | ~
% 36.81/5.64 (m_Down(v22) = v28) | ~ (host(v23) = v25) | ~ (host(v21) = v26) | ~
% 36.81/5.64 $i(v24) | ~ $i(v23) | ~ $i(v22) | ~ $i(v21) | ~ setIn(v23, alive) | ~
% 36.81/5.64 setIn(v21, alive) | ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? [v32:
% 36.81/5.64 $i] : (( ~ (v30 = v25) & host(v24) = v30 & $i(v30)) | ( ~ (v29 = v26) &
% 36.81/5.64 host(v22) = v29 & $i(v29)) | (queue(v26) = v31 & $i(v31) & ~
% 36.81/5.64 elem(v27, v31)) | (queue(v25) = v32 & $i(v32) & ~ elem(v28, v32)))) &
% 36.81/5.64 ! [v21: $i] : ! [v22: $i] : ! [v23: $i] : ! [v24: $i] : ! [v25: $i] : (
% 36.81/5.64 ~ (m_Ack(v23, v21) = v24) | ~ (host(v22) = v25) | ~ $i(v23) | ~ $i(v22)
% 36.81/5.64 | ~ $i(v21) | ? [v26: $i] : ? [v27: $i] : ? [v28: $i] : ((host(v23) =
% 36.81/5.64 v28 & host(v21) = v27 & $i(v28) & $i(v27) & ~ leq(v27, v28)) |
% 36.81/5.64 (queue(v25) = v26 & $i(v26) & ~ elem(v24, v26)))) & ! [v21: $i] : !
% 36.81/5.64 [v22: $i] : ! [v23: $i] : ! [v24: $i] : ( ~ (m_Down(v22) = v23) | ~
% 36.81/5.64 (host(v21) = v24) | ~ $i(v22) | ~ $i(v21) | ~ setIn(v22, alive) | ?
% 36.81/5.64 [v25: $i] : (queue(v24) = v25 & $i(v25) & ~ elem(v23, v25))) & ! [v21:
% 36.81/5.64 $i] : ! [v22: $i] : ! [v23: $i] : ! [v24: $i] : ( ~ (m_Down(v22) = v23)
% 36.81/5.64 | ~ (host(v21) = v24) | ~ $i(v22) | ~ $i(v21) | ? [v25: $i] : ? [v26:
% 36.81/5.64 $i] : (( ~ (v26 = v24) & host(v22) = v26 & $i(v26)) | (queue(v24) = v25
% 36.81/5.64 & $i(v25) & ~ elem(v23, v25)))) & ! [v21: $i] : ! [v22: $i] : !
% 36.81/5.64 [v23: $i] : ! [v24: $i] : ( ~ (m_Halt(v22) = v23) | ~ (host(v21) = v24) |
% 36.81/5.64 ~ $i(v22) | ~ $i(v21) | ? [v25: $i] : ? [v26: $i] : ((host(v22) = v26 &
% 36.81/5.64 $i(v26) & ~ leq(v24, v26)) | (queue(v24) = v25 & $i(v25) & ~
% 36.81/5.64 elem(v23, v25)))) & ! [v21: $i] : ! [v22: $i] : ! [v23: $i] : (v22
% 36.81/5.64 = v21 | ~ (host(v22) = v23) | ~ (host(v21) = v23) | ~ $i(v22) | ~
% 36.81/5.64 $i(v21) | ~ setIn(v22, alive) | ~ setIn(v21, alive)) & ! [v21: $i] : !
% 36.81/5.64 [v22: $i] : ! [v23: $i] : ( ~ (host(v22) = v23) | ~ (host(v21) = v23) | ~
% 36.81/5.64 $i(v22) | ~ $i(v21) | ~ leq(v22, v21) | ~ setIn(v22, alive) |
% 36.81/5.64 setIn(v21, alive)) & ! [v21: $i] : ( ~ (host(v21) = v5) | ~ $i(v21) |
% 36.81/5.64 leq(v21, v2)) & (v15 = v2 | ( ~ (v15 = v3) & setIn(v15, alive))) & (v13 =
% 36.81/5.64 v2 | ( ~ (v13 = v3) & setIn(v13, alive))) & ((v12 = v8 & v10 = wait &
% 36.81/5.64 index(elid, v5) = v11 & host(v11) = v8 & $i(v11)) | (v10 = norm & v9 =
% 36.81/5.64 v8 & index(ldr, v5) = v8)))
% 36.81/5.64
% 36.81/5.64 (function-axioms)
% 36.81/5.64 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 36.81/5.64 (index(v3, v2) = v1) | ~ (index(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 36.81/5.64 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (snoc(v3, v2) = v1) | ~ (snoc(v3,
% 36.81/5.64 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1
% 36.81/5.64 = v0 | ~ (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0)) & ! [v0: $i] : !
% 36.81/5.64 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (m_Ack(v3, v2) = v1) | ~
% 36.81/5.64 (m_Ack(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 |
% 36.81/5.64 ~ (pidMsg(v2) = v1) | ~ (pidMsg(v2) = v0)) & ! [v0: $i] : ! [v1: $i] :
% 36.81/5.64 ! [v2: $i] : (v1 = v0 | ~ (init(v2) = v1) | ~ (init(v2) = v0)) & ! [v0: $i]
% 36.81/5.64 : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (last(v2) = v1) | ~ (last(v2) =
% 36.81/5.64 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (tail(v2) =
% 36.81/5.64 v1) | ~ (tail(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1
% 36.81/5.64 = v0 | ~ (head(v2) = v1) | ~ (head(v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 36.81/5.64 : ! [v2: $i] : (v1 = v0 | ~ (m_NormQ(v2) = v1) | ~ (m_NormQ(v2) = v0)) & !
% 36.81/5.64 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (m_Ldr(v2) = v1) | ~
% 36.81/5.64 (m_Ldr(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 36.81/5.64 (m_NotNorm(v2) = v1) | ~ (m_NotNorm(v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 36.81/5.64 : ! [v2: $i] : (v1 = v0 | ~ (m_Down(v2) = v1) | ~ (m_Down(v2) = v0)) & !
% 36.81/5.64 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (m_Halt(v2) = v1) | ~
% 36.81/5.64 (m_Halt(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 36.81/5.64 (s(v2) = v1) | ~ (s(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 36.81/5.64 (v1 = v0 | ~ (host(v2) = v1) | ~ (host(v2) = v0)) & ! [v0: $i] : ! [v1:
% 36.81/5.64 $i] : ! [v2: $i] : (v1 = v0 | ~ (queue(v2) = v1) | ~ (queue(v2) = v0))
% 36.81/5.64
% 36.81/5.64 Further assumptions not needed in the proof:
% 36.81/5.64 --------------------------------------------
% 36.81/5.64 axiom, axiom_01, axiom_02, axiom_03, axiom_04, axiom_05, axiom_06, axiom_07,
% 36.81/5.64 axiom_08, axiom_09, axiom_10, axiom_11, axiom_12, axiom_13, axiom_14, axiom_15,
% 36.81/5.64 axiom_16, axiom_17, axiom_18, axiom_19, axiom_20, axiom_21, axiom_22, axiom_23,
% 36.81/5.64 axiom_24, axiom_25, axiom_26, axiom_27, axiom_28, axiom_29, axiom_30, axiom_31,
% 36.81/5.64 axiom_32, axiom_33, axiom_34, axiom_35, axiom_36, axiom_37, axiom_38, axiom_39,
% 36.81/5.64 axiom_40, axiom_41, axiom_42, axiom_43, axiom_44, axiom_45, axiom_47, axiom_48,
% 36.81/5.64 axiom_49, axiom_50, axiom_51, axiom_52, axiom_53, axiom_54, axiom_55, axiom_56,
% 36.81/5.64 axiom_57, axiom_58, axiom_59, axiom_60, axiom_61, axiom_62, axiom_63, axiom_64,
% 36.81/5.64 axiom_65
% 36.81/5.64
% 36.81/5.64 Those formulas are unsatisfiable:
% 36.81/5.64 ---------------------------------
% 36.81/5.64
% 36.81/5.64 Begin of proof
% 36.81/5.64 |
% 36.81/5.64 | ALPHA: (axiom_46) implies:
% 36.81/5.65 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (cons(v1,
% 36.81/5.65 | v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ elem(v0, v2) |
% 36.81/5.65 | elem(v0, v3))
% 36.81/5.65 |
% 36.81/5.65 | ALPHA: (conj) implies:
% 36.81/5.65 | (2) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 36.81/5.65 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 36.81/5.65 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 36.81/5.65 | ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19:
% 36.81/5.65 | $i] : ? [v20: $i] : ( ~ (v16 = v5) & ~ (v5 = v0) & index(status,
% 36.81/5.65 | v5) = v10 & cons(v7, v1) = v6 & m_Down(v19) = v20 & m_Down(v14) =
% 36.81/5.65 | v17 & m_Down(v4) = v7 & s(zero) = v0 & host(v19) = v16 & host(v15) =
% 36.81/5.65 | v16 & host(v14) = v5 & host(v13) = v5 & host(v4) = v8 & host(v3) = v5
% 36.81/5.65 | & host(v2) = v5 & queue(v16) = v18 & queue(v5) = v6 & $i(v20) &
% 36.81/5.65 | $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) &
% 36.81/5.65 | $i(v10) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 36.81/5.65 | $i(v2) & $i(v1) & $i(v0) & setIn(v3, alive) & elem(v20, v1) &
% 36.81/5.65 | elem(v17, v18) & ~ leq(v5, v8) & ~ setIn(v2, pids) & ! [v21: $i] :
% 36.81/5.65 | ! [v22: $i] : ! [v23: $i] : ! [v24: $i] : ! [v25: $i] : ! [v26:
% 36.81/5.65 | $i] : ! [v27: $i] : ! [v28: $i] : (v26 = v25 | ~ (m_Down(v24) =
% 36.81/5.65 | v27) | ~ (m_Down(v22) = v28) | ~ (host(v23) = v25) | ~
% 36.81/5.65 | (host(v21) = v26) | ~ $i(v24) | ~ $i(v23) | ~ $i(v22) | ~
% 36.81/5.65 | $i(v21) | ~ setIn(v23, alive) | ~ setIn(v21, alive) | ? [v29:
% 36.81/5.65 | $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : (( ~ (v30 =
% 36.81/5.65 | v25) & host(v24) = v30 & $i(v30)) | ( ~ (v29 = v26) &
% 36.81/5.65 | host(v22) = v29 & $i(v29)) | (queue(v26) = v31 & $i(v31) & ~
% 36.81/5.65 | elem(v27, v31)) | (queue(v25) = v32 & $i(v32) & ~ elem(v28,
% 36.81/5.65 | v32)))) & ! [v21: $i] : ! [v22: $i] : ! [v23: $i] : !
% 36.81/5.65 | [v24: $i] : ! [v25: $i] : ( ~ (m_Ack(v23, v21) = v24) | ~
% 36.81/5.65 | (host(v22) = v25) | ~ $i(v23) | ~ $i(v22) | ~ $i(v21) | ? [v26:
% 36.81/5.65 | $i] : ? [v27: $i] : ? [v28: $i] : ((host(v23) = v28 & host(v21)
% 36.81/5.65 | = v27 & $i(v28) & $i(v27) & ~ leq(v27, v28)) | (queue(v25) =
% 36.81/5.65 | v26 & $i(v26) & ~ elem(v24, v26)))) & ! [v21: $i] : ! [v22:
% 36.81/5.65 | $i] : ! [v23: $i] : ! [v24: $i] : ( ~ (m_Down(v22) = v23) | ~
% 36.81/5.65 | (host(v21) = v24) | ~ $i(v22) | ~ $i(v21) | ~ setIn(v22, alive)
% 36.81/5.65 | | ? [v25: $i] : (queue(v24) = v25 & $i(v25) & ~ elem(v23, v25)))
% 36.81/5.65 | & ! [v21: $i] : ! [v22: $i] : ! [v23: $i] : ! [v24: $i] : ( ~
% 36.81/5.65 | (m_Down(v22) = v23) | ~ (host(v21) = v24) | ~ $i(v22) | ~
% 36.81/5.65 | $i(v21) | ? [v25: $i] : ? [v26: $i] : (( ~ (v26 = v24) &
% 36.81/5.65 | host(v22) = v26 & $i(v26)) | (queue(v24) = v25 & $i(v25) & ~
% 36.81/5.65 | elem(v23, v25)))) & ! [v21: $i] : ! [v22: $i] : ! [v23: $i]
% 36.81/5.65 | : ! [v24: $i] : ( ~ (m_Halt(v22) = v23) | ~ (host(v21) = v24) | ~
% 36.81/5.65 | $i(v22) | ~ $i(v21) | ? [v25: $i] : ? [v26: $i] : ((host(v22) =
% 36.81/5.65 | v26 & $i(v26) & ~ leq(v24, v26)) | (queue(v24) = v25 & $i(v25)
% 36.81/5.65 | & ~ elem(v23, v25)))) & ! [v21: $i] : ! [v22: $i] : ! [v23:
% 36.81/5.65 | $i] : (v22 = v21 | ~ (host(v22) = v23) | ~ (host(v21) = v23) | ~
% 36.81/5.65 | $i(v22) | ~ $i(v21) | ~ setIn(v22, alive) | ~ setIn(v21, alive))
% 36.81/5.65 | & ! [v21: $i] : ! [v22: $i] : ! [v23: $i] : ( ~ (host(v22) = v23)
% 36.81/5.65 | | ~ (host(v21) = v23) | ~ $i(v22) | ~ $i(v21) | ~ leq(v22, v21)
% 36.81/5.65 | | ~ setIn(v22, alive) | setIn(v21, alive)) & ! [v21: $i] : ( ~
% 36.81/5.65 | (host(v21) = v5) | ~ $i(v21) | leq(v21, v2)) & (v15 = v2 | ( ~
% 36.81/5.65 | (v15 = v3) & setIn(v15, alive))) & (v13 = v2 | ( ~ (v13 = v3) &
% 36.81/5.65 | setIn(v13, alive))) & ((v12 = v8 & v10 = wait & index(elid, v5) =
% 36.81/5.65 | v11 & host(v11) = v8 & $i(v11)) | (v10 = norm & v9 = v8 &
% 36.81/5.65 | index(ldr, v5) = v8)))
% 36.81/5.65 |
% 36.81/5.65 | ALPHA: (function-axioms) implies:
% 36.81/5.65 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (queue(v2) =
% 36.81/5.65 | v1) | ~ (queue(v2) = v0))
% 36.81/5.65 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (host(v2) = v1)
% 36.81/5.65 | | ~ (host(v2) = v0))
% 36.81/5.65 |
% 36.81/5.65 | DELTA: instantiating (2) with fresh symbols all_65_0, all_65_1, all_65_2,
% 36.81/5.65 | all_65_3, all_65_4, all_65_5, all_65_6, all_65_7, all_65_8, all_65_9,
% 36.81/5.65 | all_65_10, all_65_11, all_65_12, all_65_13, all_65_14, all_65_15,
% 36.81/5.65 | all_65_16, all_65_17, all_65_18, all_65_19, all_65_20 gives:
% 36.81/5.66 | (5) ~ (all_65_4 = all_65_15) & ~ (all_65_15 = all_65_20) & index(status,
% 36.81/5.66 | all_65_15) = all_65_10 & cons(all_65_13, all_65_19) = all_65_14 &
% 36.81/5.66 | m_Down(all_65_1) = all_65_0 & m_Down(all_65_6) = all_65_3 &
% 36.81/5.66 | m_Down(all_65_16) = all_65_13 & s(zero) = all_65_20 & host(all_65_1) =
% 36.81/5.66 | all_65_4 & host(all_65_5) = all_65_4 & host(all_65_6) = all_65_15 &
% 36.81/5.66 | host(all_65_7) = all_65_15 & host(all_65_16) = all_65_12 &
% 36.81/5.66 | host(all_65_17) = all_65_15 & host(all_65_18) = all_65_15 &
% 36.81/5.66 | queue(all_65_4) = all_65_2 & queue(all_65_15) = all_65_14 &
% 36.81/5.66 | $i(all_65_0) & $i(all_65_1) & $i(all_65_2) & $i(all_65_3) &
% 36.81/5.66 | $i(all_65_4) & $i(all_65_5) & $i(all_65_6) & $i(all_65_7) &
% 36.81/5.66 | $i(all_65_10) & $i(all_65_12) & $i(all_65_13) & $i(all_65_14) &
% 36.81/5.66 | $i(all_65_15) & $i(all_65_16) & $i(all_65_17) & $i(all_65_18) &
% 36.81/5.66 | $i(all_65_19) & $i(all_65_20) & setIn(all_65_17, alive) &
% 36.81/5.66 | elem(all_65_0, all_65_19) & elem(all_65_3, all_65_2) & ~
% 36.81/5.66 | leq(all_65_15, all_65_12) & ~ setIn(all_65_18, pids) & ! [v0: $i] :
% 36.81/5.66 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 36.81/5.66 | [v6: $i] : ! [v7: $i] : (v5 = v4 | ~ (m_Down(v3) = v6) | ~
% 36.81/5.66 | (m_Down(v1) = v7) | ~ (host(v2) = v4) | ~ (host(v0) = v5) | ~
% 36.81/5.66 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v2, alive) | ~
% 36.81/5.66 | setIn(v0, alive) | ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ?
% 36.81/5.66 | [v11: $i] : (( ~ (v9 = v4) & host(v3) = v9 & $i(v9)) | ( ~ (v8 = v5)
% 36.81/5.66 | & host(v1) = v8 & $i(v8)) | (queue(v5) = v10 & $i(v10) & ~
% 36.81/5.66 | elem(v6, v10)) | (queue(v4) = v11 & $i(v11) & ~ elem(v7, v11))))
% 36.81/5.66 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 36.81/5.66 | ( ~ (m_Ack(v2, v0) = v3) | ~ (host(v1) = v4) | ~ $i(v2) | ~ $i(v1) |
% 36.81/5.66 | ~ $i(v0) | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ((host(v2) = v7
% 36.81/5.66 | & host(v0) = v6 & $i(v7) & $i(v6) & ~ leq(v6, v7)) | (queue(v4)
% 36.81/5.66 | = v5 & $i(v5) & ~ elem(v3, v5)))) & ! [v0: $i] : ! [v1: $i] :
% 36.81/5.66 | ! [v2: $i] : ! [v3: $i] : ( ~ (m_Down(v1) = v2) | ~ (host(v0) = v3) |
% 36.81/5.66 | ~ $i(v1) | ~ $i(v0) | ~ setIn(v1, alive) | ? [v4: $i] :
% 36.81/5.66 | (queue(v3) = v4 & $i(v4) & ~ elem(v2, v4))) & ! [v0: $i] : ! [v1:
% 36.81/5.66 | $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (m_Down(v1) = v2) | ~
% 36.81/5.66 | (host(v0) = v3) | ~ $i(v1) | ~ $i(v0) | ? [v4: $i] : ? [v5: $i] :
% 36.81/5.66 | (( ~ (v5 = v3) & host(v1) = v5 & $i(v5)) | (queue(v3) = v4 & $i(v4) &
% 36.81/5.66 | ~ elem(v2, v4)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 36.81/5.66 | [v3: $i] : ( ~ (m_Halt(v1) = v2) | ~ (host(v0) = v3) | ~ $i(v1) | ~
% 36.81/5.66 | $i(v0) | ? [v4: $i] : ? [v5: $i] : ((host(v1) = v5 & $i(v5) & ~
% 36.81/5.66 | leq(v3, v5)) | (queue(v3) = v4 & $i(v4) & ~ elem(v2, v4)))) & !
% 36.81/5.66 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (host(v1) = v2) |
% 36.81/5.66 | ~ (host(v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v1, alive) | ~
% 36.81/5.66 | setIn(v0, alive)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 36.81/5.66 | (host(v1) = v2) | ~ (host(v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 36.81/5.66 | leq(v1, v0) | ~ setIn(v1, alive) | setIn(v0, alive)) & ! [v0: $i] :
% 36.81/5.66 | ( ~ (host(v0) = all_65_15) | ~ $i(v0) | leq(v0, all_65_18)) &
% 36.81/5.66 | (all_65_5 = all_65_18 | ( ~ (all_65_5 = all_65_17) & setIn(all_65_5,
% 36.81/5.66 | alive))) & (all_65_7 = all_65_18 | ( ~ (all_65_7 = all_65_17) &
% 36.81/5.66 | setIn(all_65_7, alive))) & ((all_65_8 = all_65_12 & all_65_10 =
% 36.81/5.66 | wait & index(elid, all_65_15) = all_65_9 & host(all_65_9) =
% 36.81/5.66 | all_65_12 & $i(all_65_9)) | (all_65_10 = norm & all_65_11 =
% 36.81/5.66 | all_65_12 & index(ldr, all_65_15) = all_65_12))
% 36.81/5.66 |
% 36.81/5.66 | ALPHA: (5) implies:
% 36.81/5.66 | (6) elem(all_65_3, all_65_2)
% 36.81/5.66 | (7) elem(all_65_0, all_65_19)
% 36.81/5.66 | (8) setIn(all_65_17, alive)
% 36.81/5.66 | (9) $i(all_65_19)
% 36.81/5.66 | (10) $i(all_65_18)
% 36.81/5.66 | (11) $i(all_65_17)
% 36.81/5.66 | (12) $i(all_65_13)
% 36.81/5.66 | (13) $i(all_65_6)
% 36.81/5.66 | (14) $i(all_65_5)
% 36.81/5.66 | (15) $i(all_65_1)
% 36.81/5.66 | (16) $i(all_65_0)
% 36.81/5.66 | (17) queue(all_65_15) = all_65_14
% 36.81/5.66 | (18) queue(all_65_4) = all_65_2
% 36.81/5.66 | (19) host(all_65_18) = all_65_15
% 36.81/5.66 | (20) host(all_65_17) = all_65_15
% 36.81/5.66 | (21) host(all_65_6) = all_65_15
% 36.81/5.66 | (22) host(all_65_5) = all_65_4
% 36.81/5.66 | (23) host(all_65_1) = all_65_4
% 36.81/5.66 | (24) m_Down(all_65_6) = all_65_3
% 36.81/5.66 | (25) m_Down(all_65_1) = all_65_0
% 36.81/5.66 | (26) cons(all_65_13, all_65_19) = all_65_14
% 36.81/5.66 | (27) all_65_5 = all_65_18 | ( ~ (all_65_5 = all_65_17) & setIn(all_65_5,
% 36.81/5.66 | alive))
% 36.81/5.66 | (28) ! [v0: $i] : ( ~ (host(v0) = all_65_15) | ~ $i(v0) | leq(v0,
% 36.81/5.66 | all_65_18))
% 36.81/5.66 | (29) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (host(v1) = v2) | ~
% 36.81/5.66 | (host(v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~ leq(v1, v0) | ~
% 36.81/5.66 | setIn(v1, alive) | setIn(v0, alive))
% 36.81/5.67 | (30) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (host(v1) =
% 36.81/5.67 | v2) | ~ (host(v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v1,
% 36.81/5.67 | alive) | ~ setIn(v0, alive))
% 36.81/5.67 | (31) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 36.81/5.67 | (m_Down(v1) = v2) | ~ (host(v0) = v3) | ~ $i(v1) | ~ $i(v0) | ?
% 36.81/5.67 | [v4: $i] : ? [v5: $i] : (( ~ (v5 = v3) & host(v1) = v5 & $i(v5)) |
% 36.81/5.67 | (queue(v3) = v4 & $i(v4) & ~ elem(v2, v4))))
% 36.81/5.67 | (32) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 36.81/5.67 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : (v5 = v4 | ~ (m_Down(v3) =
% 36.81/5.67 | v6) | ~ (m_Down(v1) = v7) | ~ (host(v2) = v4) | ~ (host(v0) =
% 36.81/5.67 | v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ setIn(v2,
% 36.81/5.67 | alive) | ~ setIn(v0, alive) | ? [v8: $i] : ? [v9: $i] : ?
% 36.81/5.67 | [v10: $i] : ? [v11: $i] : (( ~ (v9 = v4) & host(v3) = v9 & $i(v9))
% 36.81/5.67 | | ( ~ (v8 = v5) & host(v1) = v8 & $i(v8)) | (queue(v5) = v10 &
% 36.81/5.67 | $i(v10) & ~ elem(v6, v10)) | (queue(v4) = v11 & $i(v11) & ~
% 36.81/5.67 | elem(v7, v11))))
% 36.81/5.67 |
% 36.81/5.67 | GROUND_INST: instantiating (28) with all_65_17, simplifying with (11), (20)
% 36.81/5.67 | gives:
% 36.81/5.67 | (33) leq(all_65_17, all_65_18)
% 36.81/5.67 |
% 36.81/5.67 | GROUND_INST: instantiating (31) with all_65_18, all_65_6, all_65_3, all_65_15,
% 36.81/5.67 | simplifying with (10), (13), (19), (24) gives:
% 36.81/5.67 | (34) ? [v0: $i] : ? [v1: any] : (( ~ (v1 = all_65_15) & host(all_65_6) =
% 36.81/5.67 | v1 & $i(v1)) | (queue(all_65_15) = v0 & $i(v0) & ~ elem(all_65_3,
% 36.81/5.67 | v0)))
% 36.81/5.67 |
% 36.81/5.67 | GROUND_INST: instantiating (31) with all_65_5, all_65_1, all_65_0, all_65_4,
% 36.81/5.67 | simplifying with (14), (15), (22), (25) gives:
% 36.81/5.67 | (35) ? [v0: $i] : ? [v1: any] : (( ~ (v1 = all_65_4) & host(all_65_1) =
% 36.81/5.67 | v1 & $i(v1)) | (queue(all_65_4) = v0 & $i(v0) & ~ elem(all_65_0,
% 36.81/5.67 | v0)))
% 36.81/5.67 |
% 36.81/5.67 | GROUND_INST: instantiating (31) with all_65_18, all_65_1, all_65_0, all_65_15,
% 36.81/5.67 | simplifying with (10), (15), (19), (25) gives:
% 36.81/5.67 | (36) ? [v0: $i] : ? [v1: any] : (( ~ (v1 = all_65_15) & host(all_65_1) =
% 36.81/5.67 | v1 & $i(v1)) | (queue(all_65_15) = v0 & $i(v0) & ~ elem(all_65_0,
% 36.81/5.67 | v0)))
% 36.81/5.67 |
% 36.81/5.67 | GROUND_INST: instantiating (1) with all_65_0, all_65_13, all_65_19, all_65_14,
% 36.81/5.67 | simplifying with (7), (9), (12), (16), (26) gives:
% 36.81/5.67 | (37) elem(all_65_0, all_65_14)
% 36.81/5.67 |
% 36.81/5.67 | DELTA: instantiating (36) with fresh symbols all_86_0, all_86_1 gives:
% 36.81/5.67 | (38) ( ~ (all_86_0 = all_65_15) & host(all_65_1) = all_86_0 & $i(all_86_0))
% 36.81/5.67 | | (queue(all_65_15) = all_86_1 & $i(all_86_1) & ~ elem(all_65_0,
% 36.81/5.67 | all_86_1))
% 36.81/5.67 |
% 36.81/5.67 | DELTA: instantiating (35) with fresh symbols all_90_0, all_90_1 gives:
% 36.81/5.67 | (39) ( ~ (all_90_0 = all_65_4) & host(all_65_1) = all_90_0 & $i(all_90_0))
% 36.81/5.67 | | (queue(all_65_4) = all_90_1 & $i(all_90_1) & ~ elem(all_65_0,
% 36.81/5.67 | all_90_1))
% 36.81/5.67 |
% 36.81/5.67 | DELTA: instantiating (34) with fresh symbols all_91_0, all_91_1 gives:
% 36.81/5.67 | (40) ( ~ (all_91_0 = all_65_15) & host(all_65_6) = all_91_0 & $i(all_91_0))
% 36.81/5.67 | | (queue(all_65_15) = all_91_1 & $i(all_91_1) & ~ elem(all_65_3,
% 36.81/5.67 | all_91_1))
% 36.81/5.67 |
% 36.81/5.67 | BETA: splitting (40) gives:
% 36.81/5.67 |
% 36.81/5.67 | Case 1:
% 36.81/5.67 | |
% 36.81/5.67 | | (41) ~ (all_91_0 = all_65_15) & host(all_65_6) = all_91_0 & $i(all_91_0)
% 36.81/5.67 | |
% 36.81/5.67 | | ALPHA: (41) implies:
% 36.81/5.67 | | (42) ~ (all_91_0 = all_65_15)
% 36.81/5.67 | | (43) host(all_65_6) = all_91_0
% 36.81/5.67 | |
% 36.81/5.67 | | GROUND_INST: instantiating (4) with all_65_15, all_91_0, all_65_6,
% 36.81/5.67 | | simplifying with (21), (43) gives:
% 36.81/5.67 | | (44) all_91_0 = all_65_15
% 36.81/5.67 | |
% 36.81/5.67 | | REDUCE: (42), (44) imply:
% 36.81/5.67 | | (45) $false
% 36.81/5.68 | |
% 36.81/5.68 | | CLOSE: (45) is inconsistent.
% 36.81/5.68 | |
% 36.81/5.68 | Case 2:
% 36.81/5.68 | |
% 37.16/5.68 | | (46) queue(all_65_15) = all_91_1 & $i(all_91_1) & ~ elem(all_65_3,
% 37.16/5.68 | | all_91_1)
% 37.16/5.68 | |
% 37.16/5.68 | | ALPHA: (46) implies:
% 37.16/5.68 | | (47) queue(all_65_15) = all_91_1
% 37.16/5.68 | |
% 37.16/5.68 | | BETA: splitting (39) gives:
% 37.16/5.68 | |
% 37.16/5.68 | | Case 1:
% 37.16/5.68 | | |
% 37.16/5.68 | | | (48) ~ (all_90_0 = all_65_4) & host(all_65_1) = all_90_0 &
% 37.16/5.68 | | | $i(all_90_0)
% 37.16/5.68 | | |
% 37.16/5.68 | | | ALPHA: (48) implies:
% 37.16/5.68 | | | (49) ~ (all_90_0 = all_65_4)
% 37.16/5.68 | | | (50) host(all_65_1) = all_90_0
% 37.16/5.68 | | |
% 37.16/5.68 | | | GROUND_INST: instantiating (4) with all_65_4, all_90_0, all_65_1,
% 37.16/5.68 | | | simplifying with (23), (50) gives:
% 37.16/5.68 | | | (51) all_90_0 = all_65_4
% 37.16/5.68 | | |
% 37.16/5.68 | | | REDUCE: (49), (51) imply:
% 37.16/5.68 | | | (52) $false
% 37.16/5.68 | | |
% 37.16/5.68 | | | CLOSE: (52) is inconsistent.
% 37.16/5.68 | | |
% 37.16/5.68 | | Case 2:
% 37.16/5.68 | | |
% 37.16/5.68 | | | (53) queue(all_65_4) = all_90_1 & $i(all_90_1) & ~ elem(all_65_0,
% 37.16/5.68 | | | all_90_1)
% 37.16/5.68 | | |
% 37.16/5.68 | | | ALPHA: (53) implies:
% 37.16/5.68 | | | (54) queue(all_65_4) = all_90_1
% 37.16/5.68 | | |
% 37.16/5.68 | | | GROUND_INST: instantiating (3) with all_65_14, all_91_1, all_65_15,
% 37.16/5.68 | | | simplifying with (17), (47) gives:
% 37.16/5.68 | | | (55) all_91_1 = all_65_14
% 37.16/5.68 | | |
% 37.16/5.68 | | | GROUND_INST: instantiating (3) with all_65_2, all_90_1, all_65_4,
% 37.16/5.68 | | | simplifying with (18), (54) gives:
% 37.16/5.68 | | | (56) all_90_1 = all_65_2
% 37.16/5.68 | | |
% 37.16/5.68 | | | BETA: splitting (38) gives:
% 37.16/5.68 | | |
% 37.16/5.68 | | | Case 1:
% 37.16/5.68 | | | |
% 37.16/5.68 | | | | (57) ~ (all_86_0 = all_65_15) & host(all_65_1) = all_86_0 &
% 37.16/5.68 | | | | $i(all_86_0)
% 37.16/5.68 | | | |
% 37.16/5.68 | | | | ALPHA: (57) implies:
% 37.16/5.68 | | | | (58) ~ (all_86_0 = all_65_15)
% 37.16/5.68 | | | | (59) host(all_65_1) = all_86_0
% 37.16/5.68 | | | |
% 37.16/5.68 | | | | GROUND_INST: instantiating (4) with all_65_4, all_86_0, all_65_1,
% 37.16/5.68 | | | | simplifying with (23), (59) gives:
% 37.16/5.68 | | | | (60) all_86_0 = all_65_4
% 37.16/5.68 | | | |
% 37.16/5.68 | | | | REDUCE: (58), (60) imply:
% 37.16/5.68 | | | | (61) ~ (all_65_4 = all_65_15)
% 37.16/5.68 | | | |
% 37.16/5.68 | | | | GROUND_INST: instantiating (29) with all_65_18, all_65_17, all_65_15,
% 37.16/5.68 | | | | simplifying with (8), (10), (11), (19), (20), (33) gives:
% 37.16/5.68 | | | | (62) setIn(all_65_18, alive)
% 37.16/5.68 | | | |
% 37.16/5.68 | | | | GROUND_INST: instantiating (30) with all_65_18, all_65_17, all_65_15,
% 37.16/5.68 | | | | simplifying with (8), (10), (11), (19), (20), (62) gives:
% 37.16/5.68 | | | | (63) all_65_17 = all_65_18
% 37.16/5.68 | | | |
% 37.16/5.68 | | | | BETA: splitting (27) gives:
% 37.16/5.68 | | | |
% 37.16/5.68 | | | | Case 1:
% 37.16/5.68 | | | | |
% 37.16/5.68 | | | | | (64) all_65_5 = all_65_18
% 37.16/5.68 | | | | |
% 37.16/5.68 | | | | | REDUCE: (22), (64) imply:
% 37.16/5.68 | | | | | (65) host(all_65_18) = all_65_4
% 37.16/5.68 | | | | |
% 37.16/5.68 | | | | | GROUND_INST: instantiating (4) with all_65_15, all_65_4, all_65_18,
% 37.16/5.68 | | | | | simplifying with (19), (65) gives:
% 37.16/5.68 | | | | | (66) all_65_4 = all_65_15
% 37.16/5.68 | | | | |
% 37.16/5.68 | | | | | REDUCE: (61), (66) imply:
% 37.16/5.68 | | | | | (67) $false
% 37.16/5.68 | | | | |
% 37.16/5.68 | | | | | CLOSE: (67) is inconsistent.
% 37.16/5.68 | | | | |
% 37.16/5.68 | | | | Case 2:
% 37.16/5.68 | | | | |
% 37.16/5.68 | | | | | (68) ~ (all_65_5 = all_65_17) & setIn(all_65_5, alive)
% 37.16/5.68 | | | | |
% 37.16/5.68 | | | | | ALPHA: (68) implies:
% 37.16/5.68 | | | | | (69) setIn(all_65_5, alive)
% 37.16/5.68 | | | | |
% 37.16/5.68 | | | | | GROUND_INST: instantiating (32) with all_65_18, all_65_6, all_65_5,
% 37.16/5.68 | | | | | all_65_1, all_65_4, all_65_15, all_65_0, all_65_3,
% 37.16/5.68 | | | | | simplifying with (10), (13), (14), (15), (19), (22),
% 37.16/5.68 | | | | | (24), (25), (62), (69) gives:
% 37.16/5.68 | | | | | (70) all_65_4 = all_65_15 | ? [v0: any] : ? [v1: any] : ? [v2:
% 37.16/5.68 | | | | | $i] : ? [v3: $i] : (( ~ (v1 = all_65_4) & host(all_65_1) =
% 37.16/5.68 | | | | | v1 & $i(v1)) | ( ~ (v0 = all_65_15) & host(all_65_6) = v0
% 37.16/5.68 | | | | | & $i(v0)) | (queue(all_65_4) = v3 & $i(v3) & ~
% 37.16/5.68 | | | | | elem(all_65_3, v3)) | (queue(all_65_15) = v2 & $i(v2) & ~
% 37.16/5.68 | | | | | elem(all_65_0, v2)))
% 37.16/5.68 | | | | |
% 37.16/5.69 | | | | | GROUND_INST: instantiating (32) with all_65_5, all_65_1, all_65_18,
% 37.16/5.69 | | | | | all_65_6, all_65_15, all_65_4, all_65_3, all_65_0,
% 37.16/5.69 | | | | | simplifying with (10), (13), (14), (15), (19), (22),
% 37.16/5.69 | | | | | (24), (25), (62), (69) gives:
% 37.16/5.69 | | | | | (71) all_65_4 = all_65_15 | ? [v0: any] : ? [v1: any] : ? [v2:
% 37.16/5.69 | | | | | $i] : ? [v3: $i] : (( ~ (v1 = all_65_15) & host(all_65_6) =
% 37.16/5.69 | | | | | v1 & $i(v1)) | ( ~ (v0 = all_65_4) & host(all_65_1) = v0 &
% 37.16/5.69 | | | | | $i(v0)) | (queue(all_65_4) = v2 & $i(v2) & ~
% 37.16/5.69 | | | | | elem(all_65_3, v2)) | (queue(all_65_15) = v3 & $i(v3) & ~
% 37.16/5.69 | | | | | elem(all_65_0, v3)))
% 37.16/5.69 | | | | |
% 37.16/5.69 | | | | | BETA: splitting (71) gives:
% 37.16/5.69 | | | | |
% 37.16/5.69 | | | | | Case 1:
% 37.16/5.69 | | | | | |
% 37.16/5.69 | | | | | | (72) all_65_4 = all_65_15
% 37.16/5.69 | | | | | |
% 37.16/5.69 | | | | | | REDUCE: (61), (72) imply:
% 37.16/5.69 | | | | | | (73) $false
% 37.16/5.69 | | | | | |
% 37.16/5.69 | | | | | | CLOSE: (73) is inconsistent.
% 37.16/5.69 | | | | | |
% 37.16/5.69 | | | | | Case 2:
% 37.16/5.69 | | | | | |
% 37.16/5.69 | | | | | | (74) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: $i] : ((
% 37.16/5.69 | | | | | | ~ (v1 = all_65_15) & host(all_65_6) = v1 & $i(v1)) | ( ~
% 37.16/5.69 | | | | | | (v0 = all_65_4) & host(all_65_1) = v0 & $i(v0)) |
% 37.16/5.69 | | | | | | (queue(all_65_4) = v2 & $i(v2) & ~ elem(all_65_3, v2)) |
% 37.16/5.69 | | | | | | (queue(all_65_15) = v3 & $i(v3) & ~ elem(all_65_0, v3)))
% 37.16/5.69 | | | | | |
% 37.16/5.69 | | | | | | DELTA: instantiating (74) with fresh symbols all_196_0, all_196_1,
% 37.16/5.69 | | | | | | all_196_2, all_196_3 gives:
% 37.16/5.69 | | | | | | (75) ( ~ (all_196_2 = all_65_15) & host(all_65_6) = all_196_2 &
% 37.16/5.69 | | | | | | $i(all_196_2)) | ( ~ (all_196_3 = all_65_4) &
% 37.16/5.69 | | | | | | host(all_65_1) = all_196_3 & $i(all_196_3)) |
% 37.16/5.69 | | | | | | (queue(all_65_4) = all_196_1 & $i(all_196_1) & ~
% 37.16/5.69 | | | | | | elem(all_65_3, all_196_1)) | (queue(all_65_15) = all_196_0
% 37.16/5.69 | | | | | | & $i(all_196_0) & ~ elem(all_65_0, all_196_0))
% 37.16/5.69 | | | | | |
% 37.16/5.69 | | | | | | BETA: splitting (70) gives:
% 37.16/5.69 | | | | | |
% 37.16/5.69 | | | | | | Case 1:
% 37.16/5.69 | | | | | | |
% 37.16/5.69 | | | | | | | (76) all_65_4 = all_65_15
% 37.16/5.69 | | | | | | |
% 37.16/5.69 | | | | | | | REDUCE: (61), (76) imply:
% 37.16/5.69 | | | | | | | (77) $false
% 37.16/5.69 | | | | | | |
% 37.16/5.69 | | | | | | | CLOSE: (77) is inconsistent.
% 37.16/5.69 | | | | | | |
% 37.16/5.69 | | | | | | Case 2:
% 37.16/5.69 | | | | | | |
% 37.16/5.69 | | | | | | | (78) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: $i] :
% 37.16/5.69 | | | | | | | (( ~ (v1 = all_65_4) & host(all_65_1) = v1 & $i(v1)) | ( ~
% 37.16/5.69 | | | | | | | (v0 = all_65_15) & host(all_65_6) = v0 & $i(v0)) |
% 37.16/5.69 | | | | | | | (queue(all_65_4) = v3 & $i(v3) & ~ elem(all_65_3, v3))
% 37.16/5.69 | | | | | | | | (queue(all_65_15) = v2 & $i(v2) & ~ elem(all_65_0,
% 37.16/5.69 | | | | | | | v2)))
% 37.16/5.69 | | | | | | |
% 37.16/5.69 | | | | | | | DELTA: instantiating (78) with fresh symbols all_209_0, all_209_1,
% 37.16/5.69 | | | | | | | all_209_2, all_209_3 gives:
% 37.16/5.69 | | | | | | | (79) ( ~ (all_209_2 = all_65_4) & host(all_65_1) = all_209_2 &
% 37.16/5.69 | | | | | | | $i(all_209_2)) | ( ~ (all_209_3 = all_65_15) &
% 37.16/5.69 | | | | | | | host(all_65_6) = all_209_3 & $i(all_209_3)) |
% 37.16/5.69 | | | | | | | (queue(all_65_4) = all_209_0 & $i(all_209_0) & ~
% 37.16/5.69 | | | | | | | elem(all_65_3, all_209_0)) | (queue(all_65_15) =
% 37.16/5.69 | | | | | | | all_209_1 & $i(all_209_1) & ~ elem(all_65_0,
% 37.16/5.69 | | | | | | | all_209_1))
% 37.16/5.69 | | | | | | |
% 37.16/5.69 | | | | | | | BETA: splitting (79) gives:
% 37.16/5.69 | | | | | | |
% 37.16/5.69 | | | | | | | Case 1:
% 37.16/5.69 | | | | | | | |
% 37.16/5.69 | | | | | | | | (80) ( ~ (all_209_2 = all_65_4) & host(all_65_1) = all_209_2
% 37.16/5.69 | | | | | | | | & $i(all_209_2)) | ( ~ (all_209_3 = all_65_15) &
% 37.16/5.69 | | | | | | | | host(all_65_6) = all_209_3 & $i(all_209_3))
% 37.16/5.69 | | | | | | | |
% 37.16/5.69 | | | | | | | | BETA: splitting (80) gives:
% 37.16/5.69 | | | | | | | |
% 37.16/5.69 | | | | | | | | Case 1:
% 37.16/5.69 | | | | | | | | |
% 37.16/5.69 | | | | | | | | | (81) ~ (all_209_2 = all_65_4) & host(all_65_1) = all_209_2
% 37.16/5.69 | | | | | | | | | & $i(all_209_2)
% 37.16/5.69 | | | | | | | | |
% 37.16/5.69 | | | | | | | | | ALPHA: (81) implies:
% 37.16/5.69 | | | | | | | | | (82) ~ (all_209_2 = all_65_4)
% 37.16/5.69 | | | | | | | | | (83) host(all_65_1) = all_209_2
% 37.16/5.69 | | | | | | | | |
% 37.16/5.69 | | | | | | | | | GROUND_INST: instantiating (4) with all_65_4, all_209_2,
% 37.16/5.69 | | | | | | | | | all_65_1, simplifying with (23), (83) gives:
% 37.16/5.69 | | | | | | | | | (84) all_209_2 = all_65_4
% 37.16/5.69 | | | | | | | | |
% 37.16/5.69 | | | | | | | | | REDUCE: (82), (84) imply:
% 37.16/5.69 | | | | | | | | | (85) $false
% 37.16/5.69 | | | | | | | | |
% 37.16/5.69 | | | | | | | | | CLOSE: (85) is inconsistent.
% 37.16/5.69 | | | | | | | | |
% 37.16/5.69 | | | | | | | | Case 2:
% 37.16/5.69 | | | | | | | | |
% 37.16/5.69 | | | | | | | | | (86) ~ (all_209_3 = all_65_15) & host(all_65_6) =
% 37.16/5.69 | | | | | | | | | all_209_3 & $i(all_209_3)
% 37.16/5.69 | | | | | | | | |
% 37.16/5.69 | | | | | | | | | ALPHA: (86) implies:
% 37.16/5.69 | | | | | | | | | (87) ~ (all_209_3 = all_65_15)
% 37.16/5.69 | | | | | | | | | (88) host(all_65_6) = all_209_3
% 37.16/5.69 | | | | | | | | |
% 37.16/5.69 | | | | | | | | | GROUND_INST: instantiating (4) with all_65_15, all_209_3,
% 37.16/5.69 | | | | | | | | | all_65_6, simplifying with (21), (88) gives:
% 37.16/5.69 | | | | | | | | | (89) all_209_3 = all_65_15
% 37.16/5.69 | | | | | | | | |
% 37.16/5.69 | | | | | | | | | REDUCE: (87), (89) imply:
% 37.16/5.69 | | | | | | | | | (90) $false
% 37.16/5.69 | | | | | | | | |
% 37.16/5.69 | | | | | | | | | CLOSE: (90) is inconsistent.
% 37.16/5.69 | | | | | | | | |
% 37.16/5.69 | | | | | | | | End of split
% 37.16/5.69 | | | | | | | |
% 37.16/5.69 | | | | | | | Case 2:
% 37.16/5.69 | | | | | | | |
% 37.16/5.69 | | | | | | | | (91) (queue(all_65_4) = all_209_0 & $i(all_209_0) & ~
% 37.16/5.69 | | | | | | | | elem(all_65_3, all_209_0)) | (queue(all_65_15) =
% 37.16/5.69 | | | | | | | | all_209_1 & $i(all_209_1) & ~ elem(all_65_0,
% 37.16/5.69 | | | | | | | | all_209_1))
% 37.16/5.69 | | | | | | | |
% 37.16/5.69 | | | | | | | | BETA: splitting (91) gives:
% 37.16/5.69 | | | | | | | |
% 37.16/5.69 | | | | | | | | Case 1:
% 37.16/5.69 | | | | | | | | |
% 37.16/5.69 | | | | | | | | | (92) queue(all_65_4) = all_209_0 & $i(all_209_0) & ~
% 37.16/5.69 | | | | | | | | | elem(all_65_3, all_209_0)
% 37.16/5.69 | | | | | | | | |
% 37.16/5.69 | | | | | | | | | ALPHA: (92) implies:
% 37.16/5.69 | | | | | | | | | (93) queue(all_65_4) = all_209_0
% 37.16/5.69 | | | | | | | | |
% 37.16/5.69 | | | | | | | | | BETA: splitting (75) gives:
% 37.16/5.69 | | | | | | | | |
% 37.16/5.69 | | | | | | | | | Case 1:
% 37.16/5.69 | | | | | | | | | |
% 37.16/5.69 | | | | | | | | | | (94) ( ~ (all_196_2 = all_65_15) & host(all_65_6) =
% 37.16/5.69 | | | | | | | | | | all_196_2 & $i(all_196_2)) | ( ~ (all_196_3 =
% 37.16/5.69 | | | | | | | | | | all_65_4) & host(all_65_1) = all_196_3 &
% 37.16/5.69 | | | | | | | | | | $i(all_196_3))
% 37.16/5.69 | | | | | | | | | |
% 37.16/5.69 | | | | | | | | | | BETA: splitting (94) gives:
% 37.16/5.69 | | | | | | | | | |
% 37.16/5.69 | | | | | | | | | | Case 1:
% 37.16/5.69 | | | | | | | | | | |
% 37.16/5.69 | | | | | | | | | | | (95) ~ (all_196_2 = all_65_15) & host(all_65_6) =
% 37.16/5.69 | | | | | | | | | | | all_196_2 & $i(all_196_2)
% 37.16/5.69 | | | | | | | | | | |
% 37.16/5.69 | | | | | | | | | | | ALPHA: (95) implies:
% 37.16/5.69 | | | | | | | | | | | (96) ~ (all_196_2 = all_65_15)
% 37.16/5.69 | | | | | | | | | | | (97) host(all_65_6) = all_196_2
% 37.16/5.69 | | | | | | | | | | |
% 37.16/5.69 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_65_15, all_196_2,
% 37.16/5.69 | | | | | | | | | | | all_65_6, simplifying with (21), (97) gives:
% 37.16/5.69 | | | | | | | | | | | (98) all_196_2 = all_65_15
% 37.16/5.69 | | | | | | | | | | |
% 37.16/5.69 | | | | | | | | | | | REDUCE: (96), (98) imply:
% 37.16/5.69 | | | | | | | | | | | (99) $false
% 37.16/5.69 | | | | | | | | | | |
% 37.16/5.69 | | | | | | | | | | | CLOSE: (99) is inconsistent.
% 37.16/5.69 | | | | | | | | | | |
% 37.16/5.69 | | | | | | | | | | Case 2:
% 37.16/5.69 | | | | | | | | | | |
% 37.16/5.69 | | | | | | | | | | | (100) ~ (all_196_3 = all_65_4) & host(all_65_1) =
% 37.16/5.69 | | | | | | | | | | | all_196_3 & $i(all_196_3)
% 37.16/5.69 | | | | | | | | | | |
% 37.16/5.69 | | | | | | | | | | | ALPHA: (100) implies:
% 37.16/5.69 | | | | | | | | | | | (101) ~ (all_196_3 = all_65_4)
% 37.16/5.69 | | | | | | | | | | | (102) host(all_65_1) = all_196_3
% 37.16/5.69 | | | | | | | | | | |
% 37.16/5.69 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_65_4, all_196_3,
% 37.16/5.69 | | | | | | | | | | | all_65_1, simplifying with (23), (102) gives:
% 37.16/5.69 | | | | | | | | | | | (103) all_196_3 = all_65_4
% 37.16/5.69 | | | | | | | | | | |
% 37.16/5.70 | | | | | | | | | | | REDUCE: (101), (103) imply:
% 37.16/5.70 | | | | | | | | | | | (104) $false
% 37.16/5.70 | | | | | | | | | | |
% 37.16/5.70 | | | | | | | | | | | CLOSE: (104) is inconsistent.
% 37.16/5.70 | | | | | | | | | | |
% 37.16/5.70 | | | | | | | | | | End of split
% 37.16/5.70 | | | | | | | | | |
% 37.16/5.70 | | | | | | | | | Case 2:
% 37.16/5.70 | | | | | | | | | |
% 37.16/5.70 | | | | | | | | | | (105) (queue(all_65_4) = all_196_1 & $i(all_196_1) & ~
% 37.16/5.70 | | | | | | | | | | elem(all_65_3, all_196_1)) | (queue(all_65_15) =
% 37.16/5.70 | | | | | | | | | | all_196_0 & $i(all_196_0) & ~ elem(all_65_0,
% 37.16/5.70 | | | | | | | | | | all_196_0))
% 37.16/5.70 | | | | | | | | | |
% 37.16/5.70 | | | | | | | | | | BETA: splitting (105) gives:
% 37.16/5.70 | | | | | | | | | |
% 37.16/5.70 | | | | | | | | | | Case 1:
% 37.16/5.70 | | | | | | | | | | |
% 37.16/5.70 | | | | | | | | | | | (106) queue(all_65_4) = all_196_1 & $i(all_196_1) & ~
% 37.16/5.70 | | | | | | | | | | | elem(all_65_3, all_196_1)
% 37.16/5.70 | | | | | | | | | | |
% 37.16/5.70 | | | | | | | | | | | ALPHA: (106) implies:
% 37.16/5.70 | | | | | | | | | | | (107) ~ elem(all_65_3, all_196_1)
% 37.16/5.70 | | | | | | | | | | | (108) queue(all_65_4) = all_196_1
% 37.16/5.70 | | | | | | | | | | |
% 37.16/5.70 | | | | | | | | | | | GROUND_INST: instantiating (3) with all_65_2, all_209_0,
% 37.16/5.70 | | | | | | | | | | | all_65_4, simplifying with (18), (93) gives:
% 37.16/5.70 | | | | | | | | | | | (109) all_209_0 = all_65_2
% 37.16/5.70 | | | | | | | | | | |
% 37.16/5.70 | | | | | | | | | | | GROUND_INST: instantiating (3) with all_196_1, all_209_0,
% 37.16/5.70 | | | | | | | | | | | all_65_4, simplifying with (93), (108) gives:
% 37.16/5.70 | | | | | | | | | | | (110) all_209_0 = all_196_1
% 37.16/5.70 | | | | | | | | | | |
% 37.16/5.70 | | | | | | | | | | | COMBINE_EQS: (109), (110) imply:
% 37.16/5.70 | | | | | | | | | | | (111) all_196_1 = all_65_2
% 37.16/5.70 | | | | | | | | | | |
% 37.16/5.70 | | | | | | | | | | | SIMP: (111) implies:
% 37.16/5.70 | | | | | | | | | | | (112) all_196_1 = all_65_2
% 37.16/5.70 | | | | | | | | | | |
% 37.16/5.70 | | | | | | | | | | | REDUCE: (107), (112) imply:
% 37.16/5.70 | | | | | | | | | | | (113) ~ elem(all_65_3, all_65_2)
% 37.16/5.70 | | | | | | | | | | |
% 37.16/5.70 | | | | | | | | | | | PRED_UNIFY: (6), (113) imply:
% 37.16/5.70 | | | | | | | | | | | (114) $false
% 37.16/5.70 | | | | | | | | | | |
% 37.16/5.70 | | | | | | | | | | | CLOSE: (114) is inconsistent.
% 37.16/5.70 | | | | | | | | | | |
% 37.16/5.70 | | | | | | | | | | Case 2:
% 37.16/5.70 | | | | | | | | | | |
% 37.16/5.70 | | | | | | | | | | | (115) queue(all_65_15) = all_196_0 & $i(all_196_0) & ~
% 37.16/5.70 | | | | | | | | | | | elem(all_65_0, all_196_0)
% 37.16/5.70 | | | | | | | | | | |
% 37.16/5.70 | | | | | | | | | | | ALPHA: (115) implies:
% 37.16/5.70 | | | | | | | | | | | (116) ~ elem(all_65_0, all_196_0)
% 37.16/5.70 | | | | | | | | | | | (117) queue(all_65_15) = all_196_0
% 37.16/5.70 | | | | | | | | | | |
% 37.16/5.70 | | | | | | | | | | | GROUND_INST: instantiating (3) with all_65_14, all_196_0,
% 37.16/5.70 | | | | | | | | | | | all_65_15, simplifying with (17), (117) gives:
% 37.16/5.70 | | | | | | | | | | | (118) all_196_0 = all_65_14
% 37.16/5.70 | | | | | | | | | | |
% 37.16/5.70 | | | | | | | | | | | REDUCE: (116), (118) imply:
% 37.16/5.70 | | | | | | | | | | | (119) ~ elem(all_65_0, all_65_14)
% 37.16/5.70 | | | | | | | | | | |
% 37.16/5.70 | | | | | | | | | | | PRED_UNIFY: (37), (119) imply:
% 37.16/5.70 | | | | | | | | | | | (120) $false
% 37.16/5.70 | | | | | | | | | | |
% 37.16/5.70 | | | | | | | | | | | CLOSE: (120) is inconsistent.
% 37.16/5.70 | | | | | | | | | | |
% 37.16/5.70 | | | | | | | | | | End of split
% 37.16/5.70 | | | | | | | | | |
% 37.16/5.70 | | | | | | | | | End of split
% 37.16/5.70 | | | | | | | | |
% 37.16/5.70 | | | | | | | | Case 2:
% 37.16/5.70 | | | | | | | | |
% 37.16/5.70 | | | | | | | | | (121) queue(all_65_15) = all_209_1 & $i(all_209_1) & ~
% 37.16/5.70 | | | | | | | | | elem(all_65_0, all_209_1)
% 37.16/5.70 | | | | | | | | |
% 37.16/5.70 | | | | | | | | | ALPHA: (121) implies:
% 37.16/5.70 | | | | | | | | | (122) ~ elem(all_65_0, all_209_1)
% 37.16/5.70 | | | | | | | | | (123) queue(all_65_15) = all_209_1
% 37.16/5.70 | | | | | | | | |
% 37.16/5.70 | | | | | | | | | GROUND_INST: instantiating (3) with all_65_14, all_209_1,
% 37.16/5.70 | | | | | | | | | all_65_15, simplifying with (17), (123) gives:
% 37.16/5.70 | | | | | | | | | (124) all_209_1 = all_65_14
% 37.16/5.70 | | | | | | | | |
% 37.16/5.70 | | | | | | | | | REDUCE: (122), (124) imply:
% 37.16/5.70 | | | | | | | | | (125) ~ elem(all_65_0, all_65_14)
% 37.16/5.70 | | | | | | | | |
% 37.16/5.70 | | | | | | | | | PRED_UNIFY: (37), (125) imply:
% 37.16/5.70 | | | | | | | | | (126) $false
% 37.16/5.70 | | | | | | | | |
% 37.16/5.70 | | | | | | | | | CLOSE: (126) is inconsistent.
% 37.16/5.70 | | | | | | | | |
% 37.16/5.70 | | | | | | | | End of split
% 37.16/5.70 | | | | | | | |
% 37.16/5.70 | | | | | | | End of split
% 37.16/5.70 | | | | | | |
% 37.16/5.70 | | | | | | End of split
% 37.16/5.70 | | | | | |
% 37.16/5.70 | | | | | End of split
% 37.16/5.70 | | | | |
% 37.16/5.70 | | | | End of split
% 37.16/5.70 | | | |
% 37.16/5.70 | | | Case 2:
% 37.16/5.70 | | | |
% 37.16/5.70 | | | | (127) queue(all_65_15) = all_86_1 & $i(all_86_1) & ~ elem(all_65_0,
% 37.16/5.70 | | | | all_86_1)
% 37.16/5.70 | | | |
% 37.16/5.70 | | | | ALPHA: (127) implies:
% 37.16/5.70 | | | | (128) ~ elem(all_65_0, all_86_1)
% 37.16/5.70 | | | | (129) queue(all_65_15) = all_86_1
% 37.16/5.70 | | | |
% 37.16/5.70 | | | | GROUND_INST: instantiating (3) with all_65_14, all_86_1, all_65_15,
% 37.16/5.70 | | | | simplifying with (17), (129) gives:
% 37.16/5.70 | | | | (130) all_86_1 = all_65_14
% 37.16/5.70 | | | |
% 37.16/5.70 | | | | REDUCE: (128), (130) imply:
% 37.16/5.70 | | | | (131) ~ elem(all_65_0, all_65_14)
% 37.16/5.70 | | | |
% 37.16/5.70 | | | | PRED_UNIFY: (37), (131) imply:
% 37.16/5.70 | | | | (132) $false
% 37.16/5.70 | | | |
% 37.16/5.70 | | | | CLOSE: (132) is inconsistent.
% 37.16/5.70 | | | |
% 37.16/5.70 | | | End of split
% 37.16/5.70 | | |
% 37.16/5.70 | | End of split
% 37.16/5.70 | |
% 37.16/5.70 | End of split
% 37.16/5.70 |
% 37.16/5.70 End of proof
% 37.16/5.70 % SZS output end Proof for theBenchmark
% 37.16/5.70
% 37.16/5.70 5097ms
%------------------------------------------------------------------------------