TSTP Solution File: SWW474+3 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SWW474+3 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n015.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 : Fri Sep 1 00:50:22 EDT 2023
% Result : Theorem 87.69s 12.44s
% Output : Proof 224.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW474+3 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Sun Aug 27 18:34:09 EDT 2023
% 0.12/0.35 % 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 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 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 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
% 21.77/3.74 Prover 4: Preprocessing ...
% 22.42/3.77 Prover 2: Preprocessing ...
% 22.42/3.77 Prover 5: Preprocessing ...
% 22.42/3.78 Prover 3: Preprocessing ...
% 22.42/3.78 Prover 1: Preprocessing ...
% 22.59/3.80 Prover 0: Preprocessing ...
% 22.59/3.80 Prover 6: Preprocessing ...
% 64.24/9.32 Prover 1: Warning: ignoring some quantifiers
% 66.15/9.59 Prover 3: Warning: ignoring some quantifiers
% 67.59/9.79 Prover 3: Constructing countermodel ...
% 67.59/9.80 Prover 1: Constructing countermodel ...
% 72.92/10.49 Prover 4: Warning: ignoring some quantifiers
% 74.51/10.69 Prover 6: Proving ...
% 79.36/11.33 Prover 4: Constructing countermodel ...
% 87.69/12.44 Prover 3: proved (11801ms)
% 87.69/12.44
% 87.69/12.44 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 87.69/12.44
% 87.69/12.48 Prover 6: stopped
% 88.35/12.49 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 88.35/12.49 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 92.98/13.12 Prover 0: Proving ...
% 92.98/13.12 Prover 0: stopped
% 92.98/13.13 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 101.71/14.34 Prover 5: Proving ...
% 101.71/14.35 Prover 5: stopped
% 101.71/14.36 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 105.06/14.80 Prover 7: Preprocessing ...
% 105.44/14.91 Prover 8: Preprocessing ...
% 108.96/15.25 Prover 10: Preprocessing ...
% 112.98/15.78 Prover 11: Preprocessing ...
% 114.65/15.98 Prover 1: stopped
% 114.65/15.99 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 124.12/17.25 Prover 13: Preprocessing ...
% 124.77/17.37 Prover 8: Warning: ignoring some quantifiers
% 125.68/17.59 Prover 10: Warning: ignoring some quantifiers
% 126.70/17.72 Prover 8: Constructing countermodel ...
% 128.18/17.75 Prover 7: Warning: ignoring some quantifiers
% 129.79/17.95 Prover 10: Constructing countermodel ...
% 131.24/18.16 Prover 7: Constructing countermodel ...
% 132.05/18.28 Prover 2: Proving ...
% 132.05/18.28 Prover 2: stopped
% 132.05/18.30 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 143.94/19.92 Prover 16: Preprocessing ...
% 145.35/20.10 Prover 11: Warning: ignoring some quantifiers
% 147.07/20.48 Prover 11: Constructing countermodel ...
% 149.04/20.60 Prover 13: Warning: ignoring some quantifiers
% 151.85/20.95 Prover 13: Constructing countermodel ...
% 159.88/22.02 Prover 16: Warning: ignoring some quantifiers
% 162.19/22.29 Prover 16: Constructing countermodel ...
% 167.73/23.06 Prover 16: stopped
% 167.73/23.06 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 174.88/24.05 Prover 19: Preprocessing ...
% 188.39/25.92 Prover 13: stopped
% 194.31/26.64 Prover 19: Warning: ignoring some quantifiers
% 196.23/26.91 Prover 19: Constructing countermodel ...
% 204.76/28.04 Prover 4: stopped
% 222.53/30.47 Prover 10: Found proof (size 291)
% 222.53/30.47 Prover 10: proved (17348ms)
% 222.53/30.48 Prover 19: stopped
% 222.53/30.48 Prover 11: stopped
% 222.53/30.48 Prover 8: stopped
% 222.53/30.48 Prover 7: stopped
% 222.53/30.48
% 222.53/30.49 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 222.53/30.49
% 223.08/30.54 % SZS output start Proof for theBenchmark
% 223.08/30.57 Assumptions after simplification:
% 223.08/30.57 ---------------------------------
% 223.08/30.57
% 223.08/30.57 (conj_0)
% 223.08/30.57 $i(hoare_1795711768gleton) & hBOOL(hoare_1795711768gleton)
% 223.08/30.57
% 223.08/30.57 (conj_1)
% 223.08/30.57 $i(wT_bodies) & hBOOL(wT_bodies)
% 223.08/30.57
% 223.08/30.57 (conj_2)
% 223.34/30.60 $i(fa) & $i(finite694102371_state) & ? [v0: $i] :
% 223.34/30.60 (hAPP_f1378282496l_bool(finite694102371_state, fa) = v0 & $i(v0) & hBOOL(v0))
% 223.34/30.60
% 223.34/30.60 (conj_3)
% 223.34/30.60 $i(y) & $i(fa) & $i(member1667945571_state) & $i(hoare_Mirabelle_MGT) & ?
% 223.34/30.60 [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 223.34/30.60 (hAPP_H2039996199l_bool(member1667945571_state, v0) = v1 &
% 223.34/30.60 hAPP_c1455475371_state(hoare_Mirabelle_MGT, y) = v0 &
% 223.34/30.60 hAPP_f1378282496l_bool(v1, fa) = v2 & $i(v2) & $i(v1) & $i(v0) & ~
% 223.34/30.60 hBOOL(v2))
% 223.34/30.60
% 223.34/30.60 (conj_4)
% 223.43/30.60 $i(fa) & $i(body) & $i(the_com) & $i(hoare_Mirabelle_MGT) &
% 223.43/30.60 $i(ord_le1449778818e_bool) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3:
% 223.43/30.60 $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 223.43/30.60 (cOMBB_271860050_pname(hoare_Mirabelle_MGT) = v1 &
% 223.43/30.60 cOMBB_923936821_pname(the_com) = v2 & hAPP_f96342628me_com(v2, body) = v3 &
% 223.43/30.60 hAPP_f1377420673_state(v1, v3) = v4 & image_185131637_state(v4) = v5 &
% 223.43/30.60 hAPP_f360545851e_bool(v5, v6) = v7 &
% 223.43/30.60 hAPP_f849457489l_bool(ord_le1449778818e_bool, fa) = v0 &
% 223.43/30.60 hAPP_f1378282496l_bool(v0, v7) = v8 & dom_pname_com(body) = v6 & $i(v8) &
% 223.43/30.60 $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) &
% 223.43/30.60 hBOOL(v8))
% 223.43/30.60
% 223.43/30.60 (conj_5)
% 223.43/30.60 $i(y) & $i(some_com) & $i(body) & $i(pn) & ? [v0: $i] :
% 223.43/30.60 (hAPP_com_option_com(some_com, y) = v0 & hAPP_p799580910on_com(body, pn) = v0
% 223.43/30.60 & $i(v0))
% 223.43/30.60
% 223.43/30.60 (conj_6)
% 223.43/30.61 $i(fa) & $i(body) & $i(body_1) & $i(hoare_Mirabelle_MGT) & ? [v0: $i] : ?
% 223.43/30.61 [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i]
% 223.43/30.61 : (cOMBB_271860050_pname(hoare_Mirabelle_MGT) = v0 &
% 223.43/30.61 hAPP_f1377420673_state(v0, body_1) = v1 & image_185131637_state(v1) = v2 &
% 223.43/30.61 hAPP_f360545851e_bool(v2, v3) = v4 & hoare_512830354_state(v4) = v5 &
% 223.43/30.61 hAPP_f1378282496l_bool(v5, fa) = v6 & dom_pname_com(body) = v3 & $i(v6) &
% 223.43/30.61 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & hBOOL(v6))
% 223.43/30.61
% 223.43/30.61 (conj_7)
% 223.43/30.61 $i(y) & $i(body) & $i(body_1) & $i(hoare_Mirabelle_MGT) &
% 223.43/30.61 $i(insert1744391420_state) & $i(bot_bo784226126e_bool) & ? [v0: $i] : ? [v1:
% 223.43/30.61 $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] :
% 223.43/30.61 ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 223.43/30.61 (cOMBB_271860050_pname(hoare_Mirabelle_MGT) = v0 & hAPP_f1377420673_state(v0,
% 223.43/30.61 body_1) = v1 & image_185131637_state(v1) = v2 & hAPP_f360545851e_bool(v2,
% 223.43/30.61 v3) = v4 & hAPP_c1455475371_state(hoare_Mirabelle_MGT, y) = v6 &
% 223.43/30.61 hAPP_H1902130436e_bool(insert1744391420_state, v6) = v7 &
% 223.43/30.61 hAPP_f806699093e_bool(v7, bot_bo784226126e_bool) = v8 &
% 223.43/30.61 hoare_512830354_state(v4) = v5 & hAPP_f1378282496l_bool(v5, v8) = v9 &
% 223.43/30.61 dom_pname_com(body) = v3 & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) &
% 223.43/30.61 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ~ hBOOL(v9))
% 223.43/30.61
% 223.43/30.61 (fact_0_empty)
% 223.43/30.61 $i(bot_bo784226126e_bool) & ! [v0: $i] : ! [v1: $i] : ( ~
% 223.43/30.61 (hoare_512830354_state(v0) = v1) | ~ $i(v0) | ? [v2: $i] :
% 223.43/30.61 (hAPP_f1378282496l_bool(v1, bot_bo784226126e_bool) = v2 & $i(v2) &
% 223.43/30.61 hBOOL(v2)))
% 223.43/30.61
% 223.43/30.61 (fact_112_empty__def)
% 223.43/30.61 $i(cOMBK_988866959_state) & $i(collec637225377_state) &
% 223.43/30.61 $i(bot_bo784226126e_bool) & $i(fFalse) & ? [v0: $i] :
% 223.43/30.61 (hAPP_b974863576e_bool(cOMBK_988866959_state, fFalse) = v0 &
% 223.43/30.61 hAPP_f806699093e_bool(collec637225377_state, v0) = bot_bo784226126e_bool &
% 223.43/30.61 $i(v0))
% 223.43/30.61
% 223.43/30.61 (fact_121_insert__ident)
% 223.51/30.62 $i(member1667945571_state) & $i(insert1744391420_state) & ! [v0: $i] : !
% 223.51/30.62 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 223.51/30.62 (hAPP_H2039996199l_bool(member1667945571_state, v1) = v3) | ~
% 223.51/30.62 (hAPP_f1378282496l_bool(v3, v2) = v4) | ~ (hAPP_f1378282496l_bool(v3, v0) =
% 223.51/30.62 v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | hBOOL(v5) | hBOOL(v4) | ? [v6:
% 223.51/30.62 $i] : ? [v7: $i] : ? [v8: $i] : (( ~ (v2 = v0) | (v8 = v7 &
% 223.51/30.62 hAPP_H1902130436e_bool(insert1744391420_state, v1) = v6 &
% 223.51/30.62 hAPP_f806699093e_bool(v6, v0) = v7 & $i(v7) & $i(v6))) & (v2 = v0 | (
% 223.51/30.62 ~ (v8 = v7) & hAPP_H1902130436e_bool(insert1744391420_state, v1) = v6
% 223.51/30.62 & hAPP_f806699093e_bool(v6, v2) = v7 & hAPP_f806699093e_bool(v6, v0) =
% 223.51/30.62 v8 & $i(v8) & $i(v7) & $i(v6)))))
% 223.51/30.62
% 223.51/30.62 (fact_133_insert__absorb2)
% 223.51/30.62 $i(insert1744391420_state) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 223.51/30.62 $i] : ! [v4: $i] : (v4 = v3 | ~
% 223.51/30.62 (hAPP_H1902130436e_bool(insert1744391420_state, v0) = v2) | ~
% 223.51/30.62 (hAPP_f806699093e_bool(v2, v3) = v4) | ~ (hAPP_f806699093e_bool(v2, v1) =
% 223.51/30.62 v3) | ~ $i(v1) | ~ $i(v0))
% 223.51/30.62
% 223.51/30.62 (fact_240_Collect__def)
% 223.51/30.62 $i(collec637225377_state) & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~
% 223.51/30.62 (hAPP_f806699093e_bool(collec637225377_state, v0) = v1) | ~ $i(v0))
% 223.51/30.62
% 223.51/30.62 (fact_296_MGF__lemma1)
% 223.51/30.62 $i(wt) & $i(member_pname) & $i(body) & $i(body_1) & $i(hoare_Mirabelle_MGT) &
% 223.51/30.62 $i(insert1744391420_state) & $i(bot_bo784226126e_bool) &
% 223.51/30.62 $i(hoare_1795711768gleton) & ? [v0: $i] : (dom_pname_com(body) = v0 & $i(v0)
% 223.51/30.62 & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 223.51/30.62 [v6: $i] : ! [v7: $i] : ( ~ (hAPP_c1455475371_state(hoare_Mirabelle_MGT,
% 223.51/30.62 v1) = v4) | ~ (hAPP_H1902130436e_bool(insert1744391420_state, v4) =
% 223.51/30.62 v5) | ~ (hAPP_f806699093e_bool(v5, bot_bo784226126e_bool) = v6) | ~
% 223.51/30.62 (hoare_512830354_state(v2) = v3) | ~ (hAPP_f1378282496l_bool(v3, v6) =
% 223.51/30.62 v7) | ~ $i(v2) | ~ $i(v1) | ~ hBOOL(hoare_1795711768gleton) |
% 223.51/30.62 hBOOL(v7) | ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ?
% 223.51/30.62 [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] :
% 223.51/30.62 ($i(v9) & ((hAPP_pname_com(body_1, v9) = v12 &
% 223.51/30.62 hAPP_c1455475371_state(hoare_Mirabelle_MGT, v12) = v13 &
% 223.51/30.62 hAPP_H1902130436e_bool(insert1744391420_state, v13) = v14 &
% 223.51/30.62 hAPP_f806699093e_bool(v14, bot_bo784226126e_bool) = v15 &
% 223.51/30.62 hAPP_f1378282496l_bool(v3, v15) = v16 & hAPP_f1664156314l_bool(v10,
% 223.51/30.62 v0) = v11 & hAPP_p338031245l_bool(member_pname, v9) = v10 &
% 223.51/30.62 $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10)
% 223.51/30.62 & hBOOL(v11) & is_pname(v9) & ~ hBOOL(v16)) | (hAPP_com_bool(wt,
% 223.51/30.62 v1) = v8 & $i(v8) & ~ hBOOL(v8))))))
% 223.51/30.62
% 223.51/30.62 (fact_297_WT__bodiesD)
% 223.51/30.62 $i(wt) & $i(some_com) & $i(body) & $i(wT_bodies) & ! [v0: $i] : ! [v1: $i] :
% 223.51/30.62 ! [v2: $i] : ( ~ (hAPP_com_option_com(some_com, v1) = v2) | ~
% 223.51/30.62 (hAPP_p799580910on_com(body, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 223.51/30.62 hBOOL(wT_bodies) | ? [v3: $i] : (hAPP_com_bool(wt, v1) = v3 & $i(v3) &
% 223.51/30.62 hBOOL(v3)))
% 223.51/30.62
% 223.51/30.63 (fact_322_finite__subset__image)
% 223.51/30.63 $i(ord_le313189616e_bool) & $i(finite694102371_state) &
% 223.51/30.63 $i(ord_le1449778818e_bool) & $i(finite_finite_pname) & ! [v0: $i] : ! [v1:
% 223.51/30.63 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] :
% 223.51/30.63 ( ~ (image_185131637_state(v0) = v4) | ~ (hAPP_f360545851e_bool(v4, v1) = v5)
% 223.51/30.63 | ~ (hAPP_f849457489l_bool(ord_le1449778818e_bool, v2) = v3) | ~
% 223.51/30.63 (hAPP_f1378282496l_bool(v3, v5) = v6) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 223.51/30.63 ~ hBOOL(v6) | ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ?
% 223.51/30.63 [v11: $i] : ? [v12: $i] : ($i(v8) & ((v12 = v2 & hAPP_f360545851e_bool(v4,
% 223.51/30.63 v8) = v2 & hAPP_f434788991l_bool(ord_le313189616e_bool, v8) = v9 &
% 223.51/30.63 hAPP_f1664156314l_bool(v9, v1) = v10 &
% 223.51/30.63 hAPP_f1664156314l_bool(finite_finite_pname, v8) = v11 & $i(v11) &
% 223.51/30.63 $i(v10) & $i(v9) & hBOOL(v11) & hBOOL(v10) & is_fun_pname_bool(v8)) |
% 223.51/30.63 (hAPP_f1378282496l_bool(finite694102371_state, v2) = v7 & $i(v7) & ~
% 223.51/30.63 hBOOL(v7)))))
% 223.51/30.63
% 223.51/30.63 (fact_323_finite__dom__body)
% 223.51/30.63 $i(body) & $i(finite_finite_pname) & ? [v0: $i] : ? [v1: $i] :
% 223.51/30.63 (hAPP_f1664156314l_bool(finite_finite_pname, v0) = v1 & dom_pname_com(body) =
% 223.51/30.63 v0 & $i(v1) & $i(v0) & hBOOL(v1))
% 223.51/30.63
% 223.51/30.63 (fact_349_MGT__Body)
% 223.51/30.63 $i(semila176469292e_bool) & $i(body) & $i(the_com) & $i(body_1) &
% 223.51/30.63 $i(hoare_Mirabelle_MGT) & $i(finite_finite_pname) & ? [v0: $i] : ? [v1: $i]
% 223.51/30.63 : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] :
% 223.51/30.63 (cOMBB_271860050_pname(hoare_Mirabelle_MGT) = v0 &
% 223.51/30.63 cOMBB_923936821_pname(the_com) = v3 & hAPP_f96342628me_com(v3, body) = v4 &
% 223.51/30.63 hAPP_f1377420673_state(v0, v4) = v5 & hAPP_f1377420673_state(v0, body_1) =
% 223.51/30.63 v1 & image_185131637_state(v5) = v6 & image_185131637_state(v1) = v2 &
% 223.51/30.63 $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v7: $i] :
% 223.51/30.64 ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ! [v12: $i] : !
% 223.51/30.64 [v13: $i] : ! [v14: $i] : ( ~
% 223.51/30.64 (hAPP_f1794460506e_bool(semila176469292e_bool, v7) = v9) | ~
% 223.51/30.64 (hAPP_f360545851e_bool(v6, v8) = v13) | ~ (hAPP_f360545851e_bool(v2, v8)
% 223.51/30.64 = v10) | ~ (hAPP_f806699093e_bool(v9, v10) = v11) | ~
% 223.51/30.64 (hoare_512830354_state(v11) = v12) | ~ (hAPP_f1378282496l_bool(v12, v13)
% 223.51/30.64 = v14) | ~ $i(v8) | ~ $i(v7) | ~ hBOOL(v14) | ? [v15: $i] : ? [v16:
% 223.51/30.64 $i] : ? [v17: $i] : ((hoare_512830354_state(v7) = v16 &
% 223.51/30.64 hAPP_f1378282496l_bool(v16, v10) = v17 & $i(v17) & $i(v16) &
% 223.51/30.64 hBOOL(v17)) | (hAPP_f1664156314l_bool(finite_finite_pname, v8) = v15 &
% 223.51/30.64 $i(v15) & ~ hBOOL(v15)))))
% 223.51/30.64
% 223.51/30.64 (fact_358_the__elem__eq)
% 223.51/30.64 $i(the_el2080696983_state) & $i(insert1744391420_state) &
% 223.51/30.64 $i(bot_bo784226126e_bool) & ! [v0: $i] : ! [v1: $i] : ( ~
% 223.51/30.64 (hAPP_H1902130436e_bool(insert1744391420_state, v0) = v1) | ~ $i(v0) | ?
% 223.51/30.64 [v2: $i] : (hAPP_f718417177_state(the_el2080696983_state, v2) = v0 &
% 223.51/30.64 hAPP_f806699093e_bool(v1, bot_bo784226126e_bool) = v2 & $i(v2)))
% 223.51/30.64
% 223.51/30.64 (fact_371_nonempty__iff)
% 223.51/30.64 $i(member1667945571_state) & $i(insert1744391420_state) &
% 223.51/30.64 $i(bot_bo784226126e_bool) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 223.51/30.64 $i] : ( ~ (hAPP_H2039996199l_bool(member1667945571_state, v0) = v2) | ~
% 223.51/30.64 (hAPP_f1378282496l_bool(v2, v1) = v3) | ~ $i(v1) | ~ $i(v0) | hBOOL(v3) |
% 223.51/30.64 ? [v4: $i] : ? [v5: $i] : ( ~ (v5 = bot_bo784226126e_bool) &
% 223.51/30.64 hAPP_H1902130436e_bool(insert1744391420_state, v0) = v4 &
% 223.51/30.64 hAPP_f806699093e_bool(v4, v1) = v5 & $i(v5) & $i(v4))) & ? [v0: $i] : (v0
% 223.51/30.64 = bot_bo784226126e_bool | ~ $i(v0) | ? [v1: $i] : ? [v2: $i] : ? [v3:
% 223.51/30.64 $i] : ? [v4: $i] : ? [v5: $i] :
% 223.51/30.64 (hAPP_H2039996199l_bool(member1667945571_state, v1) = v4 &
% 223.51/30.64 hAPP_H1902130436e_bool(insert1744391420_state, v1) = v3 &
% 223.51/30.64 hAPP_f806699093e_bool(v3, v2) = v0 & hAPP_f1378282496l_bool(v4, v2) = v5 &
% 223.51/30.64 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & ~ hBOOL(v5)))
% 223.51/30.64
% 223.51/30.64 (fact_448_subset__Un__eq)
% 223.51/30.64 $i(semila278973382e_bool) & $i(ord_le313189616e_bool) & ! [v0: $i] : ! [v1:
% 223.51/30.64 $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 223.51/30.64 (hAPP_f434788991l_bool(ord_le313189616e_bool, v0) = v2) | ~
% 223.51/30.64 (hAPP_f1664156314l_bool(v2, v1) = v3) | ~ $i(v1) | ~ $i(v0) | ~
% 223.51/30.64 is_fun_pname_bool(v1) | ? [v4: $i] : ? [v5: $i] : (( ~ hBOOL(v3) | (v5 =
% 223.51/30.64 v1 & hAPP_f1388330588e_bool(semila278973382e_bool, v0) = v4 &
% 223.51/30.64 hAPP_f759274231e_bool(v4, v1) = v1 & $i(v4))) & (hBOOL(v3) | ( ~ (v5 =
% 223.51/30.64 v1) & hAPP_f1388330588e_bool(semila278973382e_bool, v0) = v4 &
% 223.51/30.64 hAPP_f759274231e_bool(v4, v1) = v5 & $i(v5) & $i(v4)))))
% 223.51/30.64
% 223.51/30.64 (fact_464_hoare__derivs_OBody)
% 223.51/30.65 $i(cOMBS_1020065803_state) & $i(cOMBS_1524960158_state) &
% 223.51/30.65 $i(hoare_1191504582_state) & $i(semila176469292e_bool) & $i(body) &
% 223.51/30.65 $i(the_com) & $i(body_1) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 223.51/30.65 (cOMBB_2084106034_pname(hoare_1191504582_state) = v0 &
% 223.51/30.65 cOMBB_923936821_pname(the_com) = v1 & hAPP_f96342628me_com(v1, body) = v2 &
% 223.51/30.65 $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 223.51/30.65 $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11:
% 223.51/30.65 $i] : ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ! [v15: $i] : ! [v16:
% 223.51/30.65 $i] : ! [v17: $i] : ! [v18: $i] : ! [v19: $i] : ! [v20: $i] : ! [v21:
% 223.51/30.65 $i] : ! [v22: $i] : ( ~ (hAPP_f804744487_state(v0, v4) = v8) | ~
% 223.51/30.65 (hAPP_f1922754332_state(cOMBS_1020065803_state, v8) = v9) | ~
% 223.51/30.65 (hAPP_f460309545_state(v9, v2) = v17) | ~ (hAPP_f460309545_state(v9,
% 223.51/30.65 body_1) = v10) | ~ (hAPP_f1811131990_state(cOMBS_1524960158_state,
% 223.51/30.65 v17) = v18) | ~ (hAPP_f1811131990_state(cOMBS_1524960158_state, v10)
% 223.51/30.65 = v11) | ~ (hAPP_f914896950_state(v18, v5) = v19) | ~
% 223.51/30.65 (hAPP_f914896950_state(v11, v5) = v12) | ~
% 223.51/30.65 (hAPP_f1794460506e_bool(semila176469292e_bool, v3) = v7) | ~
% 223.51/30.65 (image_185131637_state(v19) = v20) | ~ (image_185131637_state(v12) = v13)
% 223.51/30.65 | ~ (hAPP_f360545851e_bool(v20, v6) = v21) | ~
% 223.51/30.65 (hAPP_f360545851e_bool(v13, v6) = v14) | ~ (hAPP_f806699093e_bool(v7,
% 223.51/30.65 v14) = v15) | ~ (hoare_512830354_state(v15) = v16) | ~
% 223.51/30.65 (hAPP_f1378282496l_bool(v16, v21) = v22) | ~ $i(v6) | ~ $i(v5) | ~
% 223.51/30.65 $i(v4) | ~ $i(v3) | ~ hBOOL(v22) | ? [v23: $i] : ? [v24: $i] :
% 223.51/30.65 (hoare_512830354_state(v3) = v23 & hAPP_f1378282496l_bool(v23, v14) = v24
% 223.51/30.65 & $i(v24) & $i(v23) & hBOOL(v24))))
% 223.51/30.65
% 223.51/30.65 (fact_4_cut)
% 223.51/30.65 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 223.51/30.65 $i] : ( ~ (hoare_512830354_state(v0) = v3) | ~ (hAPP_f1378282496l_bool(v3,
% 223.51/30.65 v2) = v5) | ~ (hAPP_f1378282496l_bool(v3, v1) = v4) | ~ $i(v2) | ~
% 223.51/30.65 $i(v1) | ~ $i(v0) | ~ hBOOL(v4) | hBOOL(v5) | ? [v6: $i] : ? [v7: $i] :
% 223.51/30.65 (hoare_512830354_state(v1) = v6 & hAPP_f1378282496l_bool(v6, v2) = v7 &
% 223.51/30.65 $i(v7) & $i(v6) & ~ hBOOL(v7)))
% 223.51/30.65
% 223.51/30.65 (fact_502_Body1)
% 223.51/30.65 $i(cOMBS_1020065803_state) & $i(cOMBS_1524960158_state) &
% 223.51/30.65 $i(hoare_1191504582_state) & $i(semila176469292e_bool) & $i(member_pname) &
% 223.51/30.65 $i(body) & $i(the_com) & $i(body_1) & $i(insert1744391420_state) &
% 223.51/30.65 $i(bot_bo784226126e_bool) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 223.51/30.65 (cOMBB_2084106034_pname(hoare_1191504582_state) = v0 &
% 223.51/30.65 cOMBB_923936821_pname(the_com) = v1 & hAPP_f96342628me_com(v1, body) = v2 &
% 223.51/30.65 $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 223.51/30.65 $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11:
% 223.51/30.65 $i] : ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ! [v15: $i] : ! [v16:
% 223.51/30.65 $i] : ! [v17: $i] : ! [v18: $i] : ! [v19: $i] : ! [v20: $i] : ! [v21:
% 223.51/30.65 $i] : ! [v22: $i] : ! [v23: $i] : ! [v24: $i] : ! [v25: $i] : ! [v26:
% 223.51/30.65 $i] : ! [v27: $i] : ! [v28: $i] : ! [v29: $i] : ! [v30: $i] : ! [v31:
% 223.51/30.65 $i] : ! [v32: $i] : ! [v33: $i] : ( ~ (hAPP_p1637813682e_bool(v6, v3) =
% 223.51/30.65 v29) | ~ (hAPP_p1637813682e_bool(v5, v3) = v25) | ~
% 223.51/30.65 (hAPP_f804744487_state(v0, v5) = v9) | ~
% 223.51/30.65 (hAPP_f1922754332_state(cOMBS_1020065803_state, v9) = v10) | ~
% 223.51/30.65 (hAPP_f460309545_state(v10, v2) = v18) | ~ (hAPP_f460309545_state(v10,
% 223.51/30.65 body_1) = v11) | ~ (hAPP_f1811131990_state(cOMBS_1524960158_state,
% 223.51/30.65 v18) = v19) | ~ (hAPP_f1811131990_state(cOMBS_1524960158_state, v11)
% 223.51/30.65 = v12) | ~ (hAPP_f914896950_state(v19, v6) = v20) | ~
% 223.51/30.65 (hAPP_f914896950_state(v12, v6) = v13) | ~
% 223.51/30.65 (hAPP_f274181323_state(hoare_1191504582_state, v25) = v26) | ~
% 223.51/30.65 (hAPP_c27135337_state(v26, v27) = v28) | ~ (hAPP_f497755132_state(v28,
% 223.51/30.65 v29) = v30) | ~ (hAPP_f1794460506e_bool(semila176469292e_bool, v4) =
% 223.51/30.65 v8) | ~ (image_185131637_state(v20) = v21) | ~
% 223.51/30.65 (image_185131637_state(v13) = v14) | ~ (hAPP_f360545851e_bool(v21, v7) =
% 223.51/30.65 v22) | ~ (hAPP_f360545851e_bool(v14, v7) = v15) | ~
% 223.51/30.65 (hAPP_pname_com(body_1, v3) = v27) | ~
% 223.51/30.65 (hAPP_H1902130436e_bool(insert1744391420_state, v30) = v31) | ~
% 223.51/30.65 (hAPP_f806699093e_bool(v31, bot_bo784226126e_bool) = v32) | ~
% 223.51/30.65 (hAPP_f806699093e_bool(v8, v15) = v16) | ~ (hoare_512830354_state(v16) =
% 223.51/30.65 v17) | ~ (hoare_512830354_state(v4) = v24) | ~
% 223.51/30.65 (hAPP_f1378282496l_bool(v24, v32) = v33) | ~ (hAPP_f1378282496l_bool(v17,
% 223.51/30.65 v22) = v23) | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~
% 223.51/30.65 $i(v3) | ~ hBOOL(v23) | hBOOL(v33) | ? [v34: $i] : ? [v35: $i] :
% 223.51/30.65 (hAPP_f1664156314l_bool(v34, v7) = v35 &
% 223.51/30.65 hAPP_p338031245l_bool(member_pname, v3) = v34 & $i(v35) & $i(v34) & ~
% 223.51/30.65 hBOOL(v35))))
% 223.51/30.65
% 223.51/30.65 (fact_531_Body__sound__lemma)
% 223.51/30.66 $i(cOMBS_1020065803_state) & $i(cOMBS_1524960158_state) &
% 223.51/30.66 $i(hoare_1191504582_state) & $i(semila176469292e_bool) & $i(body) &
% 223.51/30.66 $i(the_com) & $i(body_1) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 223.51/30.66 (cOMBB_2084106034_pname(hoare_1191504582_state) = v0 &
% 223.51/30.66 cOMBB_923936821_pname(the_com) = v1 & hAPP_f96342628me_com(v1, body) = v2 &
% 223.51/30.66 $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 223.51/30.66 $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11:
% 223.51/30.66 $i] : ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ! [v15: $i] : ! [v16:
% 223.51/30.66 $i] : ! [v17: $i] : ! [v18: $i] : ! [v19: $i] : ! [v20: $i] : ! [v21:
% 223.51/30.66 $i] : ! [v22: $i] : ( ~ (hoare_919241616_state(v15) = v16) | ~
% 223.51/30.66 (hAPP_f804744487_state(v0, v4) = v8) | ~
% 223.51/30.66 (hAPP_f1922754332_state(cOMBS_1020065803_state, v8) = v9) | ~
% 223.51/30.66 (hAPP_f460309545_state(v9, v2) = v17) | ~ (hAPP_f460309545_state(v9,
% 223.51/30.66 body_1) = v10) | ~ (hAPP_f1811131990_state(cOMBS_1524960158_state,
% 223.51/30.66 v17) = v18) | ~ (hAPP_f1811131990_state(cOMBS_1524960158_state, v10)
% 223.51/30.66 = v11) | ~ (hAPP_f914896950_state(v18, v5) = v19) | ~
% 223.51/30.66 (hAPP_f914896950_state(v11, v5) = v12) | ~
% 223.51/30.66 (hAPP_f1794460506e_bool(semila176469292e_bool, v3) = v7) | ~
% 223.51/30.66 (image_185131637_state(v19) = v20) | ~ (image_185131637_state(v12) = v13)
% 223.51/30.66 | ~ (hAPP_f360545851e_bool(v20, v6) = v21) | ~
% 223.51/30.66 (hAPP_f360545851e_bool(v13, v6) = v14) | ~ (hAPP_f806699093e_bool(v7,
% 223.51/30.66 v14) = v15) | ~ (hAPP_f1378282496l_bool(v16, v21) = v22) | ~ $i(v6)
% 223.51/30.66 | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ hBOOL(v22) | ? [v23: $i] : ?
% 223.51/30.66 [v24: $i] : (hoare_919241616_state(v3) = v23 & hAPP_f1378282496l_bool(v23,
% 223.51/30.66 v14) = v24 & $i(v24) & $i(v23) & hBOOL(v24))))
% 223.51/30.66
% 223.51/30.66 (fact_534_MGF__complete)
% 223.51/30.66 $i(hoare_1191504582_state) & $i(hoare_Mirabelle_MGT) &
% 223.51/30.66 $i(insert1744391420_state) & $i(bot_bo784226126e_bool) & ? [v0: $i] : ? [v1:
% 223.51/30.66 $i] : (hoare_919241616_state(bot_bo784226126e_bool) = v1 &
% 223.51/30.66 hoare_512830354_state(bot_bo784226126e_bool) = v0 & $i(v1) & $i(v0) & !
% 223.51/30.66 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 223.51/30.66 $i] : ( ~ (hAPP_f274181323_state(hoare_1191504582_state, v2) = v5) | ~
% 223.51/30.66 (hAPP_c27135337_state(v5, v4) = v6) | ~ (hAPP_f497755132_state(v6, v3) =
% 223.51/30.66 v7) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ? [v8: $i] : ? [v9: $i] : ?
% 223.51/30.66 [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : ?
% 223.51/30.66 [v15: $i] : ((hAPP_c1455475371_state(hoare_Mirabelle_MGT, v4) = v8 &
% 223.51/30.66 hAPP_H1902130436e_bool(insert1744391420_state, v8) = v9 &
% 223.51/30.66 hAPP_f806699093e_bool(v9, bot_bo784226126e_bool) = v10 &
% 223.51/30.66 hAPP_f1378282496l_bool(v0, v10) = v11 & $i(v11) & $i(v10) & $i(v9) &
% 223.51/30.66 $i(v8) & ~ hBOOL(v11)) |
% 223.51/30.66 (hAPP_H1902130436e_bool(insert1744391420_state, v7) = v12 &
% 223.51/30.66 hAPP_f806699093e_bool(v12, bot_bo784226126e_bool) = v13 &
% 223.51/30.66 hAPP_f1378282496l_bool(v1, v13) = v14 & $i(v14) & $i(v13) & $i(v12) &
% 223.51/30.66 ~ hBOOL(v14)) | (hAPP_H1902130436e_bool(insert1744391420_state, v7) =
% 223.51/30.66 v12 & hAPP_f806699093e_bool(v12, bot_bo784226126e_bool) = v13 &
% 223.51/30.66 hAPP_f1378282496l_bool(v0, v13) = v15 & $i(v15) & $i(v13) & $i(v12) &
% 223.51/30.66 hBOOL(v15)))))
% 223.51/30.66
% 223.51/30.66 (fact_5_hoare__derivs_Oinsert)
% 223.51/30.66 $i(insert1744391420_state) & $i(bot_bo784226126e_bool) & ! [v0: $i] : ! [v1:
% 223.51/30.66 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] :
% 223.51/30.66 ! [v7: $i] : ( ~ (hAPP_H1902130436e_bool(insert1744391420_state, v2) = v4) |
% 223.51/30.66 ~ (hAPP_f806699093e_bool(v4, bot_bo784226126e_bool) = v5) | ~
% 223.51/30.66 (hoare_512830354_state(v1) = v3) | ~ (hAPP_f1378282496l_bool(v3, v5) = v6)
% 223.51/30.66 | ~ (hAPP_f1378282496l_bool(v3, v0) = v7) | ~ $i(v2) | ~ $i(v1) | ~
% 223.51/30.66 $i(v0) | ~ hBOOL(v7) | ~ hBOOL(v6) | ? [v8: $i] : ? [v9: $i] :
% 223.51/30.66 (hAPP_f806699093e_bool(v4, v0) = v8 & hAPP_f1378282496l_bool(v3, v8) = v9 &
% 223.51/30.66 $i(v9) & $i(v8) & hBOOL(v9)))
% 223.51/30.66
% 223.51/30.66 (fact_629_le__iff__sup)
% 223.51/30.67 $i(semila278973382e_bool) & $i(ord_le313189616e_bool) & ! [v0: $i] : ! [v1:
% 223.51/30.67 $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 223.51/30.67 (hAPP_f434788991l_bool(ord_le313189616e_bool, v0) = v2) | ~
% 223.51/30.67 (hAPP_f1664156314l_bool(v2, v1) = v3) | ~ $i(v1) | ~ $i(v0) | ~
% 223.51/30.67 is_fun_pname_bool(v1) | ? [v4: $i] : ? [v5: $i] : (( ~ hBOOL(v3) | (v5 =
% 223.51/30.67 v1 & hAPP_f1388330588e_bool(semila278973382e_bool, v0) = v4 &
% 223.51/30.67 hAPP_f759274231e_bool(v4, v1) = v1 & $i(v4))) & (hBOOL(v3) | ( ~ (v5 =
% 223.51/30.67 v1) & hAPP_f1388330588e_bool(semila278973382e_bool, v0) = v4 &
% 223.51/30.67 hAPP_f759274231e_bool(v4, v1) = v5 & $i(v5) & $i(v4)))))
% 223.51/30.67
% 223.51/30.67 (fact_66_MGF)
% 223.51/30.67 $i(wt) & $i(hoare_Mirabelle_MGT) & $i(insert1744391420_state) &
% 223.51/30.67 $i(bot_bo784226126e_bool) & $i(hoare_1795711768gleton) & $i(wT_bodies) & ?
% 223.51/30.67 [v0: $i] : (hoare_512830354_state(bot_bo784226126e_bool) = v0 & $i(v0) & !
% 223.51/30.67 [v1: $i] : ! [v2: $i] : ( ~ (hAPP_c1455475371_state(hoare_Mirabelle_MGT,
% 223.51/30.67 v1) = v2) | ~ $i(v1) | ~ hBOOL(hoare_1795711768gleton) | ~
% 223.51/30.67 hBOOL(wT_bodies) | ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] :
% 223.51/30.67 ((hAPP_H1902130436e_bool(insert1744391420_state, v2) = v4 &
% 223.51/30.67 hAPP_f806699093e_bool(v4, bot_bo784226126e_bool) = v5 &
% 223.51/30.67 hAPP_f1378282496l_bool(v0, v5) = v6 & $i(v6) & $i(v5) & $i(v4) &
% 223.51/30.67 hBOOL(v6)) | (hAPP_com_bool(wt, v1) = v3 & $i(v3) & ~ hBOOL(v3)))))
% 223.51/30.67
% 223.51/30.67 (fact_6_derivs__insertD)
% 223.51/30.67 $i(insert1744391420_state) & $i(bot_bo784226126e_bool) & ! [v0: $i] : ! [v1:
% 223.51/30.67 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] :
% 223.51/30.67 ! [v7: $i] : ( ~ (hAPP_H1902130436e_bool(insert1744391420_state, v1) = v4) |
% 223.51/30.67 ~ (hAPP_f806699093e_bool(v4, bot_bo784226126e_bool) = v5) | ~
% 223.51/30.67 (hoare_512830354_state(v0) = v3) | ~ (hAPP_f1378282496l_bool(v3, v5) = v6)
% 223.51/30.67 | ~ (hAPP_f1378282496l_bool(v3, v2) = v7) | ~ $i(v2) | ~ $i(v1) | ~
% 223.51/30.67 $i(v0) | hBOOL(v7) | ? [v8: $i] : ? [v9: $i] : (hAPP_f806699093e_bool(v4,
% 223.51/30.67 v2) = v8 & hAPP_f1378282496l_bool(v3, v8) = v9 & $i(v9) & $i(v8) & ~
% 223.51/30.67 hBOOL(v9))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : !
% 223.51/30.67 [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 223.51/30.67 (hAPP_H1902130436e_bool(insert1744391420_state, v1) = v4) | ~
% 223.51/30.67 (hAPP_f806699093e_bool(v4, bot_bo784226126e_bool) = v5) | ~
% 223.51/30.67 (hoare_512830354_state(v0) = v3) | ~ (hAPP_f1378282496l_bool(v3, v5) = v6)
% 223.51/30.67 | ~ (hAPP_f1378282496l_bool(v3, v2) = v7) | ~ $i(v2) | ~ $i(v1) | ~
% 223.51/30.67 $i(v0) | hBOOL(v6) | ? [v8: $i] : ? [v9: $i] : (hAPP_f806699093e_bool(v4,
% 223.51/30.67 v2) = v8 & hAPP_f1378282496l_bool(v3, v8) = v9 & $i(v9) & $i(v8) & ~
% 223.51/30.67 hBOOL(v9)))
% 223.51/30.67
% 223.51/30.67 (gsy_c_Map_Odom_000tc__Com__Opname_000tc__Com__Ocom)
% 223.51/30.67 ! [v0: $i] : ! [v1: $i] : ( ~ (dom_pname_com(v0) = v1) | ~ $i(v0) |
% 223.51/30.67 is_fun_pname_bool(v1))
% 223.51/30.67
% 223.51/30.67 (function-axioms)
% 224.01/30.76 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 224.01/30.76 $i] : (v1 = v0 | ~ (finite1443934175_pname(v5, v4, v3, v2) = v1) | ~
% 224.01/30.76 (finite1443934175_pname(v5, v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] :
% 224.01/30.76 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~
% 224.01/30.76 (fun_up879233478on_com(v4, v3, v2) = v1) | ~ (fun_up879233478on_com(v4, v3,
% 224.01/30.76 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : !
% 224.01/30.76 [v4: $i] : (v1 = v0 | ~ (fun_up1055265789_state(v4, v3, v2) = v1) | ~
% 224.01/30.76 (fun_up1055265789_state(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 224.01/30.76 [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~
% 224.01/30.76 (overri1496249029on_com(v4, v3, v2) = v1) | ~ (overri1496249029on_com(v4,
% 224.01/30.76 v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] :
% 224.01/30.76 (v1 = v0 | ~ (hAPP_f403544558_state(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f403544558_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1554347387_state(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f1554347387_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_p1159359355_state(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_p1159359355_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f2099268820_state(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f2099268820_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_p105983054e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_p105983054e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1867816801_state(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f1867816801_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_p357103842_state(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_p357103842_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_p1331349103_state(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_p1331349103_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_p1947457250_state(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_p1947457250_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_p1164893188on_com(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_p1164893188on_com(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_s336103912e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_s336103912e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_s2001034685l_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_s2001034685l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f2067558332l_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f2067558332l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_s1226857760e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_s1226857760e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_H1270401638l_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_H1270401638l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_c1311333443e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_c1311333443e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_p1086945780on_com(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_p1086945780on_com(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_s1874344717e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_s1874344717e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1012183542e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f1012183542e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1476298914l_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f1476298914l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1259673775l_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f1259673775l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_p558118546m_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_p558118546m_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_b993469484_state(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_b993469484_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f644196280e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f644196280e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_p393069232l_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_p393069232l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f167292325e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f167292325e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_b2019457360e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_b2019457360e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_s58564346l_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_s58564346l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_c1580157610l_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_c1580157610l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_o1684370239m_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_o1684370239m_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_b1679505845on_com(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_b1679505845on_com(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_o334540577on_com(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_o334540577on_com(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_o356497025on_com(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_o356497025on_com(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (restri1382200118me_com(v3, v2) = v1) | ~
% 224.01/30.76 (restri1382200118me_com(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_H1440241088_state(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_H1440241088_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_p1630511146_pname(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_p1630511146_pname(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_c1546426672ol_com(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_c1546426672ol_com(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_b496459037l_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_b496459037l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f961197973l_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f961197973l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_b1787118453l_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_b1787118453l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1712138014e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f1712138014e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f246190092e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f246190092e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f919496731m_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f919496731m_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f837293113e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f837293113e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f2028971360e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f2028971360e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f376349141e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f376349141e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f103229774e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f103229774e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1573805579l_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f1573805579l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f476955937l_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f476955937l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f2059879088l_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f2059879088l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1316144452l_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f1316144452l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1477350485l_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f1477350485l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f836143551l_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f836143551l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f417341722l_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f417341722l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1149191722l_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f1149191722l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_o129566686on_com(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_o129566686on_com(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f2061951445e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f2061951445e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f241329646e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f241329646e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f182188835e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f182188835e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f647826488e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f647826488e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1898485935m_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f1898485935m_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f57617970m_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f57617970m_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f755519727on_com(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f755519727on_com(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f2093196134on_com(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f2093196134on_com(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f648377725on_com(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f648377725on_com(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1673966486on_com(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f1673966486on_com(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f2123220539on_com(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f2123220539on_com(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1836930278_state(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f1836930278_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f2119427284_state(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f2119427284_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1655792756_state(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f1655792756_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f799842582_state(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f799842582_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1343550633_state(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f1343550633_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f249262236e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f249262236e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1935169308e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f1935169308e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1802364479e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f1802364479e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f874203478e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f874203478e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1900156034e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f1900156034e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f698292281e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f698292281e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f180827860e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f180827860e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f947797701m_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f947797701m_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f721468006m_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f721468006m_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1998868198m_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f1998868198m_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1138284024e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f1138284024e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f915354021e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f915354021e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1759915619e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f1759915619e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_H280516760_state(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_H280516760_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_com_fun_com_com(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_com_fun_com_com(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_com_com(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_com_com(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 224.01/30.76 [v3: $i] : (v1 = v0 | ~ (hAPP_f817621513e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f817621513e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_s1806633685e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_s1806633685e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1863945078e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f1863945078e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f250550847_state(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f250550847_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f37848848_state(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f37848848_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f824259881_state(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f824259881_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f886846002_state(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f886846002_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f578501918_state(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f578501918_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1547517799ol_com(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f1547517799ol_com(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1487042470e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f1487042470e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1633046421_state(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f1633046421_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f578932784_state(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f578932784_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f240260249_state(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f240260249_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f815143704_state(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f815143704_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f819036232_state(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f819036232_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f792846925ol_com(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f792846925ol_com(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f887530048e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f887530048e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_p1637813682e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_p1637813682e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1283379615l_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f1283379615l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f873506917e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f873506917e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f701449317e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f701449317e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_b1095269219e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_b1095269219e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f804744487_state(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f804744487_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1922754332_state(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f1922754332_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f460309545_state(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f460309545_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1811131990_state(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f1811131990_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f914896950_state(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f914896950_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1847120l_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f1847120l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f230953622l_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f230953622l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1388330588e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f1388330588e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1120618594m_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f1120618594m_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f274181323_state(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f274181323_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_c27135337_state(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_c27135337_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f497755132_state(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f497755132_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_o1912464824_state(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_o1912464824_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_b589554111l_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_b589554111l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1276420679ol_com(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f1276420679ol_com(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f96342628me_com(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f96342628me_com(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1377420673_state(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f1377420673_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1794460506e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f1794460506e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f472107739e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f472107739e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f343137017e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f343137017e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1143533991l_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f1143533991l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f568104217e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f568104217e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f567934427l_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f567934427l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1191357267l_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f1191357267l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f381060343l_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f381060343l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f591683433e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f591683433e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f700046015e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f700046015e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f780571929l_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f780571929l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_p1235466077l_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_p1235466077l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1385420507e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f1385420507e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f2082757169l_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f2082757169l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1336811455e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f1336811455e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f777604691e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f777604691e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1720171569e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f1720171569e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_p606792009e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_p606792009e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f835719487e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f835719487e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f734198589m_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f734198589m_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_p1639923567m_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_p1639923567m_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f610934515e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f610934515e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1463049441l_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f1463049441l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f718417177_state(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f718417177_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f2113567599e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f2113567599e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1186253673l_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f1186253673l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1218207411_state(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f1218207411_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f596278895e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f596278895e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_H574424047_state(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_H574424047_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f475997903e_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f475997903e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f235185669m_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f235185669m_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_H313059897m_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_H313059897m_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f631019661l_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f631019661l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f556039215l_bool(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_f556039215l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.76 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_p485182952_state(v3, v2) = v1) | ~
% 224.01/30.76 (hAPP_p485182952_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1184122441e_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f1184122441e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f661147897e_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f661147897e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1236719585l_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f1236719585l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1145991873l_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f1145991873l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f578650245m_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f578650245m_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1902016361e_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f1902016361e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_H216526335e_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_H216526335e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f908845385m_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f908845385m_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_c1396316405m_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_c1396316405m_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f954469007l_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f954469007l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f328772264m_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f328772264m_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f22061361e_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f22061361e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_b974863576e_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_b974863576e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_b1153789088m_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_b1153789088m_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_b167205134l_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_b167205134l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_p1751618853_state(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_p1751618853_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_H46530577te_com(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_H46530577te_com(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_H1633077406_state(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_H1633077406_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_com_option_com(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_com_option_com(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_c667411853l_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_c667411853l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_c1494068046me_com(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_c1494068046me_com(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1206115581m_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f1206115581m_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_p1170154830_pname(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_p1170154830_pname(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_H2039996199l_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_H2039996199l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_H1938877132_state(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_H1938877132_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_H275587026_state(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_H275587026_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f457085749e_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f457085749e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_c57939194te_com(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_c57939194te_com(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1815646051m_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f1815646051m_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_p1227118702_pname(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_p1227118702_pname(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1402196763l_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f1402196763l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f649174806e_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f649174806e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f832587837l_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f832587837l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1702629984e_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f1702629984e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f118042163l_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f118042163l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f524831474l_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f524831474l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f143162813l_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f143162813l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f624840228l_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f624840228l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_p905327722e_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_p905327722e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1472090462l_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f1472090462l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1320879424l_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f1320879424l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_c566651504m_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_c566651504m_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1682609283m_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f1682609283m_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f273696895l_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f273696895l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f360545851e_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f360545851e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1216288071e_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f1216288071e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f509793681e_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f509793681e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1492100075l_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f1492100075l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1297925993l_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f1297925993l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1348212993l_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f1348212993l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f734420447l_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f734420447l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1901243753l_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f1901243753l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1516997247l_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f1516997247l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f347786453l_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f347786453l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1879335953l_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f1879335953l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f510955609l_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f510955609l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f783502055l_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f783502055l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_pname_com(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_pname_com(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 224.01/30.77 ! [v3: $i] : (v1 = v0 | ~ (hAPP_p799580910on_com(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_p799580910on_com(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_option_com_com(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_option_com_com(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_c1455475371_state(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_c1455475371_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_H1902130436e_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_H1902130436e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f806699093e_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f806699093e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f849457489l_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f849457489l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1178960312l_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f1178960312l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f389811538l_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f389811538l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f306376939e_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f306376939e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1410040974l_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f1410040974l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f559147733l_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f559147733l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f674760225e_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f674760225e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1935102916l_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f1935102916l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1709493145l_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f1709493145l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1083669085e_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f1083669085e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1378282496l_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f1378282496l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f88366945_pname(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f88366945_pname(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f387058535l_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f387058535l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f327114704l_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f327114704l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f42430548e_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f42430548e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f434788991l_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f434788991l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f759274231e_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f759274231e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1664156314l_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f1664156314l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1297739591_pname(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f1297739591_pname(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1438183293e_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f1438183293e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f990396704l_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_f990396704l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_o593586696_pname(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_o593586696_pname(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_o1092643708e_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_o1092643708e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_option_com_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_option_com_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_H358531139l_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_H358531139l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_H1776011827e_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_H1776011827e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_H1671063474_pname(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_H1671063474_pname(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_H242767318e_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_H242767318e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_H1193503499_pname(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_H1193503499_pname(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_b357632156l_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_b357632156l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_b76515610e_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_b76515610e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_bool_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_bool_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 224.01/30.77 ! [v3: $i] : (v1 = v0 | ~ (hAPP_state_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_state_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 224.01/30.77 ! [v3: $i] : (v1 = v0 | ~ (hAPP_p338031245l_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_p338031245l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_p61793385e_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_p61793385e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_p1252095976_pname(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_p1252095976_pname(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_pname_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_pname_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 224.01/30.77 ! [v3: $i] : (v1 = v0 | ~ (hAPP_pname_pname(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_pname_pname(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 224.01/30.77 ! [v3: $i] : (v1 = v0 | ~ (hAPP_c1967741679e_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_c1967741679e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_com_bool(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_com_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 224.01/30.77 [v3: $i] : (v1 = v0 | ~ (hAPP_com_pname(v3, v2) = v1) | ~
% 224.01/30.77 (hAPP_com_pname(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 224.01/30.77 ! [v3: $i] : (v1 = v0 | ~ (vimage1011814463_state(v3, v2) = v1) | ~
% 224.01/30.77 (vimage1011814463_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (fun(v3, v2) = v1) | ~ (fun(v3, v2) =
% 224.01/30.77 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 |
% 224.01/30.77 ~ (finite688249778e_bool(v3, v2) = v1) | ~ (finite688249778e_bool(v3, v2) =
% 224.01/30.77 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 |
% 224.01/30.77 ~ (finite1268145088e_bool(v3, v2) = v1) | ~ (finite1268145088e_bool(v3, v2)
% 224.01/30.77 = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0
% 224.01/30.77 | ~ (finite416071164_state(v3, v2) = v1) | ~ (finite416071164_state(v3,
% 224.01/30.77 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1
% 224.01/30.77 = v0 | ~ (finite89670078_pname(v3, v2) = v1) | ~ (finite89670078_pname(v3,
% 224.01/30.77 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1
% 224.01/30.77 = v0 | ~ (finite666746948em_com(v3, v2) = v1) | ~
% 224.01/30.77 (finite666746948em_com(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (finite2009063477e_bool(v3, v2) = v1) | ~
% 224.01/30.77 (finite2009063477e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (finite1626890877e_bool(v3, v2) = v1) | ~
% 224.01/30.77 (finite1626890877e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (finite683959609_state(v3, v2) = v1) | ~
% 224.01/30.77 (finite683959609_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (finite1282449217_pname(v3, v2) = v1) | ~
% 224.01/30.77 (finite1282449217_pname(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (finite860057415ne_com(v3, v2) = v1) | ~
% 224.01/30.77 (finite860057415ne_com(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : (v1 = v0 | ~ (inj_on63516655_pname(v2) = v1) | ~
% 224.01/30.77 (inj_on63516655_pname(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 224.01/30.77 (v1 = v0 | ~ (finite212984546_state(v2) = v1) | ~ (finite212984546_state(v2)
% 224.01/30.77 = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (finite1657623752_pname(v2) = v1) | ~ (finite1657623752_pname(v2) = v0)) &
% 224.01/30.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (finite_fold_com_com(v2) = v1) | ~ (finite_fold_com_com(v2) = v0)) & !
% 224.01/30.77 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (inj_on535898123_state(v2) = v1) | ~ (inj_on535898123_state(v2) = v0)) & !
% 224.01/30.77 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (inj_on2143431281e_bool(v2) = v1) | ~ (inj_on2143431281e_bool(v2) = v0)) &
% 224.01/30.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (inj_on1490514707e_bool(v2) = v1) | ~ (inj_on1490514707e_bool(v2) = v0)) &
% 224.01/30.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (finite1909292976l_bool(v2) = v1) | ~ (finite1909292976l_bool(v2) = v0)) &
% 224.01/30.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (finite391880392e_bool(v2) = v1) | ~ (finite391880392e_bool(v2) = v0)) & !
% 224.01/30.77 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (finite446335722e_bool(v2) = v1) | ~ (finite446335722e_bool(v2) = v0)) & !
% 224.01/30.77 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (cOMBB_418828222_pname(v2) = v1) | ~ (cOMBB_418828222_pname(v2) = v0)) & !
% 224.01/30.77 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (inj_on11367768on_com(v2)
% 224.01/30.77 = v1) | ~ (inj_on11367768on_com(v2) = v0)) & ! [v0: $i] : ! [v1: $i] :
% 224.01/30.77 ! [v2: $i] : (v1 = v0 | ~ (inj_on264996226_state(v2) = v1) | ~
% 224.01/30.77 (inj_on264996226_state(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 224.01/30.77 : (v1 = v0 | ~ (cOMBB_667059641_pname(v2) = v1) | ~
% 224.01/30.77 (cOMBB_667059641_pname(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 224.01/30.77 : (v1 = v0 | ~ (cOMBB_494346593e_bool(v2) = v1) | ~
% 224.01/30.77 (cOMBB_494346593e_bool(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 224.01/30.77 : (v1 = v0 | ~ (finite1943735070l_bool(v2) = v1) | ~
% 224.01/30.77 (finite1943735070l_bool(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 224.01/30.77 : (v1 = v0 | ~ (cOMBB_631815671e_bool(v2) = v1) | ~
% 224.01/30.77 (cOMBB_631815671e_bool(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 224.01/30.77 : (v1 = v0 | ~ (finite1627341516l_bool(v2) = v1) | ~
% 224.01/30.77 (finite1627341516l_bool(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 224.01/30.77 : (v1 = v0 | ~ (finite1230907212e_bool(v2) = v1) | ~
% 224.01/30.77 (finite1230907212e_bool(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 224.01/30.77 : (v1 = v0 | ~ (finite315386934e_bool(v2) = v1) | ~
% 224.01/30.77 (finite315386934e_bool(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 224.01/30.77 : (v1 = v0 | ~ (finite1275301314m_bool(v2) = v1) | ~
% 224.01/30.77 (finite1275301314m_bool(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 224.01/30.77 : (v1 = v0 | ~ (cOMBB_604855927_state(v2) = v1) | ~
% 224.01/30.77 (cOMBB_604855927_state(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 224.01/30.77 : (v1 = v0 | ~ (cOMBB_1919352417_pname(v2) = v1) | ~
% 224.01/30.77 (cOMBB_1919352417_pname(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 224.01/30.77 : (v1 = v0 | ~ (cOMBB_2112550369ol_com(v2) = v1) | ~
% 224.01/30.77 (cOMBB_2112550369ol_com(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 224.01/30.77 : (v1 = v0 | ~ (partia325231104_state(v2) = v1) | ~
% 224.01/30.77 (partia325231104_state(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 224.01/30.77 : (v1 = v0 | ~ (partia752020666_pname(v2) = v1) | ~
% 224.01/30.77 (partia752020666_pname(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 224.01/30.77 : (v1 = v0 | ~ (partial_flat_lub_com(v2) = v1) | ~ (partial_flat_lub_com(v2)
% 224.01/30.77 = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (cOMBB_1394247784_pname(v2) = v1) | ~ (cOMBB_1394247784_pname(v2) = v0)) &
% 224.01/30.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (cOMBB_143651633_pname(v2) = v1) | ~ (cOMBB_143651633_pname(v2) = v0)) & !
% 224.01/30.77 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (cOMBB_1911358915_state(v2) = v1) | ~ (cOMBB_1911358915_state(v2) = v0)) &
% 224.01/30.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (cOMBB_1036740637_state(v2) = v1) | ~ (cOMBB_1036740637_state(v2) = v0)) &
% 224.01/30.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (evalc(v2) = v1) | ~
% 224.01/30.77 (evalc(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (cOMBB_1476898461_state(v2) = v1) | ~ (cOMBB_1476898461_state(v2) = v0)) &
% 224.01/30.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (cOMBB_1282391997_state(v2) = v1) | ~ (cOMBB_1282391997_state(v2) = v0)) &
% 224.01/30.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (cOMBB_530759491_pname(v2) = v1) | ~ (cOMBB_530759491_pname(v2) = v0)) & !
% 224.01/30.77 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (cOMBB_298914627ol_com(v2) = v1) | ~ (cOMBB_298914627ol_com(v2) = v0)) & !
% 224.01/30.77 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (image_com_com(v2) = v1)
% 224.01/30.77 | ~ (image_com_com(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 224.01/30.77 (v1 = v0 | ~ (image_390184709e_bool(v2) = v1) | ~ (image_390184709e_bool(v2)
% 224.01/30.77 = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (image_2063528359e_bool(v2) = v1) | ~ (image_2063528359e_bool(v2) = v0)) &
% 224.01/30.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (cOMBB_20296667_state(v2) = v1) | ~ (cOMBB_20296667_state(v2) = v0)) & !
% 224.01/30.77 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (cOMBB_160679318_state(v2) = v1) | ~ (cOMBB_160679318_state(v2) = v0)) & !
% 224.01/30.77 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (while(v2) = v1) | ~
% 224.01/30.77 (while(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (set_Ho1741238126_state(v2) = v1) | ~ (set_Ho1741238126_state(v2) = v0)) &
% 224.01/30.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (set_com(v2) = v1) | ~
% 224.01/30.77 (set_com(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 |
% 224.01/30.77 ~ (hoare_919241616_state(v2) = v1) | ~ (hoare_919241616_state(v2) = v0)) &
% 224.01/30.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (cOMBB_2049797414e_bool(v2) = v1) | ~ (cOMBB_2049797414e_bool(v2) = v0)) &
% 224.01/30.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (cOMBB_1794358604e_bool(v2) = v1) | ~ (cOMBB_1794358604e_bool(v2) = v0)) &
% 224.01/30.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (cOMBB_1757942702_state(v2) = v1) | ~ (cOMBB_1757942702_state(v2) = v0)) &
% 224.01/30.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (cOMBB_188601460_state(v2) = v1) | ~ (cOMBB_188601460_state(v2) = v0)) & !
% 224.01/30.77 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (cOMBB_1759179140_state(v2) = v1) | ~ (cOMBB_1759179140_state(v2) = v0)) &
% 224.01/30.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (cOMBB_2084106034_pname(v2) = v1) | ~ (cOMBB_2084106034_pname(v2) = v0)) &
% 224.01/30.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (cOMBB_271860050_pname(v2) = v1) | ~ (cOMBB_271860050_pname(v2) = v0)) & !
% 224.01/30.77 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (cOMBB_923936821_pname(v2) = v1) | ~ (cOMBB_923936821_pname(v2) = v0)) & !
% 224.01/30.77 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (cOMBB_181781758_pname(v2) = v1) | ~ (cOMBB_181781758_pname(v2) = v0)) & !
% 224.01/30.77 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (cOMBB_949755692_pname(v2) = v1) | ~ (cOMBB_949755692_pname(v2) = v0)) & !
% 224.01/30.77 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (cOMBB_408569982_pname(v2) = v1) | ~ (cOMBB_408569982_pname(v2) = v0)) & !
% 224.01/30.77 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (cOMBB_639263758_state(v2) = v1) | ~ (cOMBB_639263758_state(v2) = v0)) & !
% 224.01/30.77 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (cOMBB_1631414076_state(v2) = v1) | ~ (cOMBB_1631414076_state(v2) = v0)) &
% 224.01/30.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (cOMBB_1400714760e_bool(v2) = v1) | ~ (cOMBB_1400714760e_bool(v2) = v0)) &
% 224.01/30.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (cOMBB_598082538e_bool(v2) = v1) | ~ (cOMBB_598082538e_bool(v2) = v0)) & !
% 224.01/30.77 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (cOMBB_542850580_pname(v2) = v1) | ~ (cOMBB_542850580_pname(v2) = v0)) & !
% 224.01/30.77 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (cOMBB_1365368614_state(v2) = v1) | ~ (cOMBB_1365368614_state(v2) = v0)) &
% 224.01/30.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (cOMBB_1083901850ol_com(v2) = v1) | ~ (cOMBB_1083901850ol_com(v2) = v0)) &
% 224.01/30.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (cOMBB_1840094962e_bool(v2) = v1) | ~ (cOMBB_1840094962e_bool(v2) = v0)) &
% 224.01/30.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (cOMBB_1724041344e_bool(v2) = v1) | ~ (cOMBB_1724041344e_bool(v2) = v0)) &
% 224.01/30.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (cOMBB_1563888316_state(v2) = v1) | ~ (cOMBB_1563888316_state(v2) = v0)) &
% 224.01/30.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (image_661047967_state(v2) = v1) | ~ (image_661047967_state(v2) = v0)) & !
% 224.01/30.77 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (cOMBB_1327031172ol_com(v2) = v1) | ~ (cOMBB_1327031172ol_com(v2) = v0)) &
% 224.01/30.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (cOMBB_325909978_state(v2) = v1) | ~ (cOMBB_325909978_state(v2) = v0)) & !
% 224.01/30.77 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (cOMBB_1686148692e_bool(v2) = v1) | ~ (cOMBB_1686148692e_bool(v2) = v0)) &
% 224.01/30.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (cOMBB_307249310e_bool(v2) = v1) | ~ (cOMBB_307249310e_bool(v2) = v0)) & !
% 224.01/30.77 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (cOMBB_886968260ol_com(v2) = v1) | ~ (cOMBB_886968260ol_com(v2) = v0)) & !
% 224.01/30.77 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (cOMBB_bool_bool_com(v2)
% 224.01/30.77 = v1) | ~ (cOMBB_bool_bool_com(v2) = v0)) & ! [v0: $i] : ! [v1: $i] :
% 224.01/30.77 ! [v2: $i] : (v1 = v0 | ~ (cOMBB_647938656_pname(v2) = v1) | ~
% 224.01/30.77 (cOMBB_647938656_pname(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 224.01/30.77 : (v1 = v0 | ~ (image_com_pname(v2) = v1) | ~ (image_com_pname(v2) = v0)) &
% 224.01/30.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (dom_Ho1607160812_state(v2) = v1) | ~ (dom_Ho1607160812_state(v2) = v0)) &
% 224.01/30.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (dom_Ho2070278094_pname(v2) = v1) | ~ (dom_Ho2070278094_pname(v2) = v0)) &
% 224.01/30.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (dom_com_com(v2) = v1)
% 224.01/30.77 | ~ (dom_com_com(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1
% 224.01/30.77 = v0 | ~ (image_pname_com(v2) = v1) | ~ (image_pname_com(v2) = v0)) & !
% 224.01/30.77 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (image_pname_pname(v2) =
% 224.01/30.77 v1) | ~ (image_pname_pname(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 224.01/30.77 [v2: $i] : (v1 = v0 | ~ (image_2605051_state(v2) = v1) | ~
% 224.01/30.77 (image_2605051_state(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 224.01/30.77 (v1 = v0 | ~ (image_741143905te_com(v2) = v1) | ~ (image_741143905te_com(v2)
% 224.01/30.77 = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (image_1774499931_pname(v2) = v1) | ~ (image_1774499931_pname(v2) = v0)) &
% 224.01/30.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (cOMBB_675860798_pname(v2) = v1) | ~ (cOMBB_675860798_pname(v2) = v0)) & !
% 224.01/30.77 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (cOMBB_1291456124_state(v2) = v1) | ~ (cOMBB_1291456124_state(v2) = v0)) &
% 224.01/30.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (cOMBB_1749019442e_bool(v2) = v1) | ~ (cOMBB_1749019442e_bool(v2) = v0)) &
% 224.01/30.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (cOMBB_2095475776e_bool(v2) = v1) | ~ (cOMBB_2095475776e_bool(v2) = v0)) &
% 224.01/30.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (image_185131637_state(v2) = v1) | ~ (image_185131637_state(v2) = v0)) & !
% 224.01/30.77 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (image_1863446033_pname(v2) = v1) | ~ (image_1863446033_pname(v2) = v0)) &
% 224.01/30.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (image_1283814551_pname(v2) = v1) | ~ (image_1283814551_pname(v2) = v0)) &
% 224.01/30.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (image_1497401961_state(v2) = v1) | ~ (image_1497401961_state(v2) = v0)) &
% 224.01/30.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (image_845802851_state(v2) = v1) | ~ (image_845802851_state(v2) = v0)) & !
% 224.01/30.77 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (image_234387449e_bool(v2) = v1) | ~ (image_234387449e_bool(v2) = v0)) & !
% 224.01/30.77 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (image_47868345e_bool(v2)
% 224.01/30.77 = v1) | ~ (image_47868345e_bool(v2) = v0)) & ! [v0: $i] : ! [v1: $i] :
% 224.01/30.77 ! [v2: $i] : (v1 = v0 | ~ (image_995511119e_bool(v2) = v1) | ~
% 224.01/30.77 (image_995511119e_bool(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 224.01/30.77 : (v1 = v0 | ~ (image_1403607267e_bool(v2) = v1) | ~
% 224.01/30.77 (image_1403607267e_bool(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 224.01/30.77 : (v1 = v0 | ~ (hoare_512830354_state(v2) = v1) | ~
% 224.01/30.77 (hoare_512830354_state(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 224.01/30.77 : (v1 = v0 | ~ (set_pname(v2) = v1) | ~ (set_pname(v2) = v0)) & ! [v0: $i]
% 224.01/30.77 : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (is_non1379144176_state(v2) = v1)
% 224.01/30.77 | ~ (is_non1379144176_state(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 224.01/30.77 [v2: $i] : (v1 = v0 | ~ (is_none_pname(v2) = v1) | ~ (is_none_pname(v2) =
% 224.01/30.77 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (is_none_com(v2) = v1) | ~ (is_none_com(v2) = v0)) & ! [v0: $i] : ! [v1:
% 224.01/30.77 $i] : ! [v2: $i] : (v1 = v0 | ~ (dom_pn480909800_state(v2) = v1) | ~
% 224.01/30.77 (dom_pn480909800_state(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 224.01/30.77 : (v1 = v0 | ~ (dom_pname_pname(v2) = v1) | ~ (dom_pname_pname(v2) = v0)) &
% 224.01/30.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (dom_pname_com(v2) =
% 224.01/30.77 v1) | ~ (dom_pname_com(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.77 $i] : (v1 = v0 | ~ (undefi64961550l_bool(v2) = v1) | ~
% 224.01/30.77 (undefi64961550l_bool(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 224.01/30.77 (v1 = v0 | ~ (undefi17486888e_bool(v2) = v1) | ~ (undefi17486888e_bool(v2) =
% 224.01/30.77 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (undefined_bool(v2) = v1) | ~ (undefined_bool(v2) = v0)) & ! [v0: $i] : !
% 224.01/30.77 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (undefined_pname(v2) = v1) | ~
% 224.01/30.77 (undefined_pname(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1
% 224.01/30.77 = v0 | ~ (inj_on737724108_pname(v2) = v1) | ~ (inj_on737724108_pname(v2) =
% 224.01/30.77 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.77 (inj_on621632009_state(v2) = v1) | ~ (inj_on621632009_state(v2) = v0)) & !
% 224.01/30.77 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (inj_on_pname_pname(v2) =
% 224.01/30.77 v1) | ~ (inj_on_pname_pname(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 224.01/30.77 [v2: $i] : (v1 = v0 | ~ (finite1765632844e_bool(v2) = v1) | ~
% 224.01/30.77 (finite1765632844e_bool(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 224.01/30.77 : (v1 = v0 | ~ (finite367769966e_bool(v2) = v1) | ~
% 224.01/30.77 (finite367769966e_bool(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 224.01/30.77 : (v1 = v0 | ~ (finite2036162504e_bool(v2) = v1) | ~
% 224.01/30.77 (finite2036162504e_bool(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 224.01/30.77 : (v1 = v0 | ~ (finite318301748l_bool(v2) = v1) | ~
% 224.01/30.77 (finite318301748l_bool(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 224.01/30.77 : (v1 = v0 | ~ (finite2017903282e_bool(v2) = v1) | ~
% 224.01/30.77 (finite2017903282e_bool(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 224.01/30.77 : (v1 = v0 | ~ (finite1653727294m_bool(v2) = v1) | ~
% 224.01/30.77 (finite1653727294m_bool(v2) = v0))
% 224.01/30.77
% 224.01/30.77 Further assumptions not needed in the proof:
% 224.01/30.77 --------------------------------------------
% 224.01/30.77 fact_1000_Int__insert__right, fact_1001_Int__mono, fact_1002_Int__mono,
% 224.01/30.77 fact_1003_Int__greatest, fact_1004_Int__greatest, fact_1005_Int__absorb1,
% 224.01/30.77 fact_1006_Int__absorb1, fact_1007_Int__absorb2, fact_1008_Int__absorb2,
% 224.01/30.77 fact_1009_Int__lower2, fact_100_empty__Collect__eq, fact_1010_Int__lower2,
% 224.01/30.77 fact_1011_Int__lower1, fact_1012_Int__lower1, fact_1013_Un__Int__crazy,
% 224.01/30.77 fact_1014_Un__Int__crazy, fact_1015_Un__Int__distrib2,
% 224.01/30.77 fact_1016_Un__Int__distrib2, fact_1017_Int__Un__distrib2,
% 224.01/30.77 fact_1018_Int__Un__distrib2, fact_1019_Un__Int__distrib,
% 224.01/30.77 fact_101_empty__Collect__eq, fact_1020_Un__Int__distrib,
% 224.01/30.77 fact_1021_Int__Un__distrib, fact_1022_Int__Un__distrib,
% 224.01/30.77 fact_1023_distrib__inf__le, fact_1024_distrib__inf__le,
% 224.01/30.77 fact_1025_distrib__inf__le, fact_1026_distrib__sup__le,
% 224.01/30.77 fact_1027_distrib__sup__le, fact_1028_distrib__sup__le, fact_1029_insert__Diff,
% 224.01/30.77 fact_102_ex__in__conv, fact_1030_insert__Diff, fact_1031_insert__Diff,
% 224.01/30.77 fact_1032_Diff__insert__absorb, fact_1033_Diff__insert__absorb,
% 224.01/30.77 fact_1034_Diff__insert__absorb, fact_1035_insert__Diff__single,
% 224.01/30.77 fact_1036_insert__Diff__single, fact_1037_insert__Diff__single,
% 224.01/30.77 fact_1038_Diff__insert2, fact_1039_Diff__insert2, fact_103_ex__in__conv,
% 224.01/30.77 fact_1040_Diff__insert2, fact_1041_Diff__insert, fact_1042_Diff__insert,
% 224.01/30.77 fact_1043_Diff__insert, fact_1044_finite__Diff__insert,
% 224.01/30.77 fact_1045_finite__Diff__insert, fact_1046_finite__Diff__insert,
% 224.01/30.77 fact_1047_finite__Diff__insert, fact_1048_finite__Diff__insert,
% 224.01/30.77 fact_1049_image__diff__subset, fact_104_ex__in__conv, fact_1050_Diff__partition,
% 224.01/30.77 fact_1051_Diff__partition, fact_1052_Diff__subset__conv,
% 224.01/30.77 fact_1053_Diff__subset__conv, fact_1054_image__Int__subset,
% 224.01/30.77 fact_1055_Un__Int__assoc__eq, fact_1056_Un__Int__assoc__eq,
% 224.01/30.77 fact_1057_if__image__distrib, fact_1058_dom__if, fact_1059_diff__single__insert,
% 224.01/30.77 fact_105_all__not__in__conv, fact_1060_diff__single__insert,
% 224.01/30.77 fact_1061_diff__single__insert, fact_1062_subset__insert__iff,
% 224.01/30.77 fact_1063_subset__insert__iff, fact_1064_subset__insert__iff,
% 224.01/30.77 fact_1065_finite__empty__induct, fact_1066_finite__empty__induct,
% 224.01/30.77 fact_1067_finite__empty__induct, fact_1068_finite__empty__induct,
% 224.01/30.77 fact_1069_finite__empty__induct, fact_106_all__not__in__conv,
% 224.01/30.77 fact_1070_dom__override__on, fact_1071_Int__Collect__mono,
% 224.01/30.77 fact_1072_Int__Collect__mono, fact_1073_Int__Collect__mono,
% 224.01/30.77 fact_1074_Int__Collect__mono, fact_1075_Int__Collect__mono,
% 224.01/30.77 fact_1076_distrib__imp2, fact_1077_distrib__imp2, fact_1078_distrib__imp2,
% 224.01/30.77 fact_1079_distrib__imp1, fact_107_all__not__in__conv, fact_1080_distrib__imp1,
% 224.01/30.77 fact_1081_distrib__imp1, fact_1082_flat__lub__def, fact_1083_flat__lub__def,
% 224.01/30.77 fact_1084_flat__lub__def, fact_1085_comp__fun__idem__remove,
% 224.01/30.77 fact_1086_comp__fun__idem__remove, fact_1087_comp__fun__idem__remove,
% 224.01/30.77 fact_1088_fun__upd__image, fact_1089_comp__fun__idem__insert,
% 224.01/30.77 fact_108_empty__def, fact_1090_comp__fun__idem__insert,
% 224.01/30.77 fact_1091_comp__fun__idem__insert, fact_1092_comp__fun__idem__sup,
% 224.01/30.77 fact_1093_comp__fun__idem__sup, fact_1094_comp__fun__idem__sup,
% 224.01/30.77 fact_1095_inj__on__Un, fact_1096_dom__eq__singleton__conv,
% 224.01/30.77 fact_1097_minus__fold__remove, fact_1098_minus__fold__remove,
% 224.01/30.77 fact_1099_minus__fold__remove, fact_109_empty__def,
% 224.01/30.77 fact_10_finite__Collect__subsets, fact_1100_minus__fold__remove,
% 224.01/30.77 fact_1101_minus__fold__remove, fact_1102_image__eq__fold__image,
% 224.01/30.77 fact_1103_inj__Some, fact_1104_inj__Some, fact_1105_inj__Some,
% 224.01/30.77 fact_1106_option_Osimps_I2_J, fact_1107_option_Osimps_I2_J,
% 224.01/30.77 fact_1108_option_Osimps_I2_J, fact_1109_option_Osimps_I3_J, fact_110_empty__def,
% 224.01/30.77 fact_1110_option_Osimps_I3_J, fact_1111_option_Osimps_I3_J,
% 224.01/30.77 fact_1112_not__Some__eq, fact_1113_not__Some__eq, fact_1114_not__Some__eq,
% 224.01/30.77 fact_1115_not__None__eq, fact_1116_not__None__eq, fact_1117_not__None__eq,
% 224.01/30.77 fact_1118_dom__def, fact_1119_domIff, fact_111_empty__def,
% 224.01/30.77 fact_1120_finite__imageD, fact_1121_inj__on__Un__image__eq__iff,
% 224.01/30.77 fact_1122_is__none__def, fact_1123_is__none__code_I1_J,
% 224.01/30.77 fact_1124_inj__on__fun__updI, fact_1125_sup__le__fold__sup,
% 224.01/30.77 fact_1126_sup__le__fold__sup, fact_1127_sup__le__fold__sup,
% 224.01/30.77 fact_1128_fold__inf__le__inf, fact_1129_fold__inf__le__inf,
% 224.01/30.77 fact_1130_fold__inf__le__inf, fact_1131_fold__sup__insert,
% 224.01/30.77 fact_1132_fold__sup__insert, fact_1133_fold__sup__insert,
% 224.01/30.77 fact_1134_fold__inf__insert, fact_1135_fold__inf__insert,
% 224.01/30.77 fact_1136_dom__eq__empty__conv, fact_1137_dom__empty,
% 224.01/30.77 fact_1138_Option_Oset_Osimps_I1_J, fact_1139_Option_Oset_Osimps_I1_J,
% 224.01/30.77 fact_113_insert__absorb, fact_1140_Option_Oset_Osimps_I1_J,
% 224.01/30.77 fact_1141_set__empty__eq, fact_1142_set__empty__eq, fact_1143_set__empty__eq,
% 224.01/30.77 fact_1144_endo__inj__surj, fact_1145_endo__inj__surj, fact_1146_endo__inj__surj,
% 224.01/30.77 fact_1147_endo__inj__surj, fact_1148_finite__surj__inj,
% 224.01/30.77 fact_1149_finite__surj__inj, fact_114_insert__absorb,
% 224.01/30.77 fact_1150_finite__surj__inj, fact_1151_finite__surj__inj,
% 224.01/30.77 fact_1152_inj__on__image__Int, fact_1153_inj__on__image__set__diff,
% 224.01/30.77 fact_1154_union__fold__insert, fact_1155_union__fold__insert,
% 224.01/30.77 fact_1156_union__fold__insert, fact_1157_union__fold__insert,
% 224.01/30.77 fact_1158_union__fold__insert, fact_1159_dom__minus, fact_115_insert__absorb,
% 224.01/30.77 fact_1160_Sup__fin_Oidem, fact_1161_Sup__fin_Oidem, fact_1162_Sup__fin_Oidem,
% 224.01/30.77 fact_1163_folding__one_Oeq__fold_H, fact_1164_folding__one_Oeq__fold_H,
% 224.01/30.77 fact_1165_folding__one_Oeq__fold_H, fact_1166_folding__one_Oeq__fold_H,
% 224.01/30.77 fact_1167_folding__one_Oeq__fold_H,
% 224.01/30.77 fact_1168_folding__one__idem_Oeq__fold__idem_H,
% 224.01/30.77 fact_1169_folding__one__idem_Oeq__fold__idem_H, fact_116_insertI2,
% 224.01/30.77 fact_1170_folding__one__idem_Oeq__fold__idem_H,
% 224.01/30.77 fact_1171_folding__one__idem_Oeq__fold__idem_H,
% 224.01/30.77 fact_1172_folding__one__idem_Oeq__fold__idem_H, fact_1173_WT_OBody,
% 224.01/30.77 fact_1174_inj__on__insert, fact_1175_dom__fun__upd,
% 224.01/30.77 fact_1176_inf__le__fold__inf, fact_1177_inf__le__fold__inf,
% 224.01/30.77 fact_1178_inf__le__fold__inf, fact_1179_fold__sup__le__sup, fact_117_insertI2,
% 224.01/30.77 fact_1180_fold__sup__le__sup, fact_1181_fold__sup__le__sup,
% 224.01/30.77 fact_1182_inj__on__iff__surj, fact_1183_inj__on__iff__surj,
% 224.01/30.77 fact_1184_option_Oexhaust, fact_1185_option_Oexhaust, fact_1186_option_Oexhaust,
% 224.01/30.77 fact_1187_Cantor__Bernstein__aux, fact_1188_Cantor__Bernstein__aux,
% 224.01/30.77 fact_1189_image__vimage__subset, fact_118_insertI2, fact_1190_dom__restrict,
% 224.01/30.77 fact_1191_Inf__fin_Ounion__disjoint, fact_1192_Inf__fin_Ounion__disjoint,
% 224.01/30.77 fact_1193_Inf__fin_Ounion__inter, fact_1194_Inf__fin_Ounion__inter,
% 224.01/30.77 fact_1195_UNIV__I, fact_1196_UNIV__I, fact_1197_UNIV__I, fact_1198_rangeI,
% 224.01/30.77 fact_119_insert__ident, fact_11_finite__Collect__subsets,
% 224.01/30.77 fact_120_insert__ident, fact_122_insert__code, fact_123_insert__code,
% 224.01/30.77 fact_124_insert__code, fact_125_insert__iff, fact_126_insert__iff,
% 224.01/30.77 fact_127_insert__iff, fact_128_insert__commute, fact_129_insert__commute,
% 224.01/30.77 fact_12_finite__imageI, fact_130_insert__commute, fact_131_insert__absorb2,
% 224.01/30.77 fact_132_insert__absorb2, fact_134_insert__Collect, fact_135_insert__Collect,
% 224.01/30.77 fact_136_insert__Collect, fact_137_insert__Collect, fact_138_insert__Collect,
% 224.01/30.77 fact_139_insert__compr, fact_13_finite__imageI, fact_140_insert__compr,
% 224.01/30.77 fact_141_insert__compr, fact_142_insert__compr, fact_143_insert__compr,
% 224.01/30.77 fact_144_insertI1, fact_145_insertI1, fact_146_insertI1, fact_147_equalityE,
% 224.01/30.77 fact_148_equalityE, fact_149_subset__trans, fact_14_finite__imageI,
% 224.01/30.77 fact_150_subset__trans, fact_151_set__mp, fact_152_set__mp, fact_153_set__mp,
% 224.01/30.77 fact_154_set__rev__mp, fact_155_set__rev__mp, fact_156_set__rev__mp,
% 224.01/30.77 fact_157_in__mono, fact_158_in__mono, fact_159_in__mono, fact_15_finite__imageI,
% 224.01/30.77 fact_160_equalityD2, fact_161_equalityD2, fact_162_equalityD1,
% 224.01/30.77 fact_163_equalityD1, fact_164_set__eq__subset, fact_165_set__eq__subset,
% 224.01/30.77 fact_166_subset__refl, fact_167_subset__refl, fact_168_rev__image__eqI,
% 224.01/30.77 fact_169_rev__image__eqI, fact_16_finite__imageI, fact_170_rev__image__eqI,
% 224.01/30.77 fact_171_rev__image__eqI, fact_172_rev__image__eqI, fact_173_imageI,
% 224.01/30.77 fact_174_imageI, fact_175_imageI, fact_176_imageI, fact_177_imageI,
% 224.01/30.77 fact_178_image__iff, fact_179_finite__Collect__disjI, fact_17_finite__imageI,
% 224.01/30.77 fact_180_finite__Collect__disjI, fact_181_finite__Collect__disjI,
% 224.01/30.77 fact_182_finite__Collect__disjI, fact_183_insert__compr__raw,
% 224.01/30.77 fact_184_insert__compr__raw, fact_185_insert__compr__raw,
% 224.01/30.77 fact_186_insert__compr__raw, fact_187_insert__compr__raw,
% 224.01/30.77 fact_188_singleton__inject, fact_189_singleton__inject, fact_18_finite__imageI,
% 224.01/30.77 fact_190_singleton__inject, fact_191_singletonE, fact_192_singletonE,
% 224.01/30.77 fact_193_singletonE, fact_194_doubleton__eq__iff, fact_195_doubleton__eq__iff,
% 224.01/30.77 fact_196_doubleton__eq__iff, fact_197_singleton__iff, fact_198_singleton__iff,
% 224.01/30.77 fact_199_singleton__iff, fact_19_finite__imageI, fact_1_asm,
% 224.01/30.77 fact_200_insert__not__empty, fact_201_insert__not__empty,
% 224.01/30.77 fact_202_insert__not__empty, fact_203_empty__not__insert,
% 224.01/30.77 fact_204_empty__not__insert, fact_205_empty__not__insert,
% 224.01/30.77 fact_206_finite__insert, fact_207_finite__insert, fact_208_finite__insert,
% 224.01/30.77 fact_209_finite__insert, fact_20_finite__imageI, fact_210_finite__insert,
% 224.01/30.77 fact_211_subset__empty, fact_212_subset__empty, fact_213_subset__empty,
% 224.01/30.77 fact_214_image__is__empty, fact_215_image__is__empty, fact_216_image__is__empty,
% 224.01/30.77 fact_217_image__is__empty, fact_218_image__empty, fact_219_image__empty,
% 224.01/30.77 fact_21_empty__subsetI, fact_220_image__empty, fact_221_image__empty,
% 224.01/30.77 fact_222_empty__is__image, fact_223_empty__is__image, fact_224_empty__is__image,
% 224.01/30.77 fact_225_empty__is__image, fact_226_finite__subset, fact_227_finite__subset,
% 224.01/30.77 fact_228_finite__subset, fact_229_finite__subset, fact_22_empty__subsetI,
% 224.01/30.77 fact_230_rev__finite__subset, fact_231_rev__finite__subset,
% 224.01/30.77 fact_232_rev__finite__subset, fact_233_rev__finite__subset,
% 224.01/30.77 fact_234_insert__mono, fact_235_insert__mono, fact_236_insert__mono,
% 224.01/30.78 fact_237_mem__def, fact_238_mem__def, fact_239_mem__def, fact_23_empty__subsetI,
% 224.01/30.78 fact_241_Collect__def, fact_242_Collect__def, fact_243_Collect__def,
% 224.01/30.78 fact_244_subset__insertI2, fact_245_subset__insertI2, fact_246_subset__insertI2,
% 224.01/30.78 fact_247_subset__insert, fact_248_subset__insert, fact_249_subset__insert,
% 224.01/30.78 fact_24_finite_OinsertI, fact_250_insert__subset, fact_251_insert__subset,
% 224.01/30.78 fact_252_insert__subset, fact_253_subset__insertI, fact_254_subset__insertI,
% 224.01/30.78 fact_255_subset__insertI, fact_256_insert__image, fact_257_insert__image,
% 224.01/30.78 fact_258_insert__image, fact_259_insert__image, fact_25_finite_OinsertI,
% 224.01/30.78 fact_260_insert__image, fact_261_insert__image, fact_262_image__insert,
% 224.01/30.78 fact_263_image__insert, fact_264_image__insert, fact_265_image__insert,
% 224.01/30.78 fact_266_image__mono, fact_267_image__mono, fact_268_subset__image__iff,
% 224.01/30.78 fact_269_subset__image__iff, fact_26_finite_OinsertI, fact_270_domI,
% 224.01/30.78 fact_271_domI, fact_272_domI, fact_273_domI, fact_274_domI, fact_275_domI,
% 224.01/30.78 fact_276_Collect__conv__if, fact_277_Collect__conv__if,
% 224.01/30.78 fact_278_Collect__conv__if, fact_279_Collect__conv__if, fact_27_finite_OinsertI,
% 224.01/30.78 fact_280_Collect__conv__if, fact_281_Collect__conv__if2,
% 224.01/30.78 fact_282_Collect__conv__if2, fact_283_Collect__conv__if2,
% 224.01/30.78 fact_284_Collect__conv__if2, fact_285_Collect__conv__if2,
% 224.01/30.78 fact_286_singleton__conv, fact_287_singleton__conv, fact_288_singleton__conv,
% 224.01/30.78 fact_289_singleton__conv, fact_28_finite_OinsertI, fact_290_singleton__conv,
% 224.01/30.78 fact_291_singleton__conv2, fact_292_singleton__conv2, fact_293_singleton__conv2,
% 224.01/30.78 fact_294_singleton__conv2, fact_295_singleton__conv2, fact_298_imageE,
% 224.01/30.78 fact_299_imageE, fact_29_finite_OemptyI, fact_2_weaken, fact_300_imageE,
% 224.01/30.78 fact_301_imageE, fact_302_imageE, fact_303_finite__subset__induct,
% 224.01/30.78 fact_304_finite__subset__induct, fact_305_finite__subset__induct,
% 224.01/30.78 fact_306_finite__subset__induct, fact_307_finite__subset__induct,
% 224.01/30.78 fact_308_WTs__elim__cases_I7_J, fact_309_subsetI, fact_30_finite_OemptyI,
% 224.01/30.78 fact_310_subsetI, fact_311_subsetI, fact_312_finite__subset__image,
% 224.01/30.78 fact_313_finite__subset__image, fact_314_finite__subset__image,
% 224.01/30.78 fact_315_finite__subset__image, fact_316_finite__subset__image,
% 224.01/30.78 fact_317_finite__subset__image, fact_318_finite__subset__image,
% 224.01/30.78 fact_319_finite__subset__image, fact_31_finite_OemptyI,
% 224.01/30.78 fact_320_finite__subset__image, fact_321_finite__subset__image,
% 224.01/30.78 fact_324_finite__induct, fact_325_finite__induct, fact_326_finite__induct,
% 224.01/30.78 fact_327_finite__induct, fact_328_finite__induct, fact_329_finite_Osimps,
% 224.01/30.78 fact_32_finite_OemptyI, fact_330_finite_Osimps, fact_331_finite_Osimps,
% 224.01/30.78 fact_332_finite_Osimps, fact_333_finite_Osimps, fact_334_pigeonhole__infinite,
% 224.01/30.78 fact_335_pigeonhole__infinite, fact_336_pigeonhole__infinite,
% 224.01/30.78 fact_337_pigeonhole__infinite, fact_338_pigeonhole__infinite,
% 224.01/30.78 fact_339_pigeonhole__infinite, fact_33_finite_OemptyI,
% 224.01/30.78 fact_340_pigeonhole__infinite, fact_341_pigeonhole__infinite,
% 224.01/30.78 fact_342_pigeonhole__infinite, fact_343_pigeonhole__infinite,
% 224.01/30.78 fact_344_pigeonhole__infinite, fact_345_pigeonhole__infinite,
% 224.01/30.78 fact_346_pigeonhole__infinite, fact_347_pigeonhole__infinite,
% 224.01/30.78 fact_348_com_Osimps_I6_J, fact_34_finite__Collect__conjI, fact_350_domD,
% 224.01/30.78 fact_351_domD, fact_352_domD, fact_353_domD, fact_354_domD, fact_355_domD,
% 224.01/30.78 fact_356_the__elem__eq, fact_357_the__elem__eq, fact_359_image__subsetI,
% 224.01/30.78 fact_35_finite__Collect__conjI, fact_360_image__subsetI,
% 224.01/30.78 fact_361_image__subsetI, fact_362_image__subsetI, fact_363_image__subsetI,
% 224.01/30.78 fact_364_image__subsetI, fact_365_image__subsetI, fact_366_order__refl,
% 224.01/30.78 fact_367_order__refl, fact_368_order__refl, fact_369_nonempty__iff,
% 224.01/30.78 fact_36_finite__Collect__conjI, fact_370_nonempty__iff, fact_372_the_Osimps,
% 224.01/30.78 fact_373_the_Osimps, fact_374_the_Osimps, fact_375_weak__Body, fact_376_BodyN,
% 224.01/30.78 fact_377_state__not__singleton__def, fact_378_UnCI, fact_379_UnCI,
% 224.01/30.78 fact_37_finite__Collect__conjI, fact_380_UnCI, fact_381_UnE, fact_382_UnE,
% 224.01/30.78 fact_383_UnE, fact_384_triple_Oinject, fact_385_UnI2, fact_386_UnI2,
% 224.01/30.78 fact_387_UnI2, fact_388_UnI1, fact_389_UnI1, fact_38_image__constant__conv,
% 224.01/30.78 fact_390_UnI1, fact_391_ball__Un, fact_392_ball__Un, fact_393_bex__Un,
% 224.01/30.78 fact_394_bex__Un, fact_395_Un__assoc, fact_396_Un__assoc, fact_397_Un__iff,
% 224.01/30.78 fact_398_Un__iff, fact_399_Un__iff, fact_39_image__constant__conv, fact_3_thin,
% 224.01/30.78 fact_400_Un__left__commute, fact_401_Un__left__commute,
% 224.01/30.78 fact_402_Un__left__absorb, fact_403_Un__left__absorb, fact_404_Un__commute,
% 224.01/30.78 fact_405_Un__commute, fact_406_Un__def, fact_407_Un__def, fact_408_Un__def,
% 224.01/30.78 fact_409_Un__def, fact_40_image__constant__conv, fact_410_Un__def,
% 224.01/30.78 fact_411_Un__absorb, fact_412_Un__absorb, fact_413_Collect__disj__eq,
% 224.01/30.78 fact_414_Collect__disj__eq, fact_415_Collect__disj__eq,
% 224.01/30.78 fact_416_Collect__disj__eq, fact_417_Un__empty, fact_418_Un__empty,
% 224.01/30.78 fact_419_Un__empty, fact_41_image__constant__conv, fact_420_Un__empty__right,
% 224.01/30.78 fact_421_Un__empty__right, fact_422_Un__empty__right, fact_423_Un__empty__left,
% 224.01/30.78 fact_424_Un__empty__left, fact_425_Un__empty__left, fact_426_finite__UnI,
% 224.01/30.78 fact_427_finite__UnI, fact_428_finite__UnI, fact_429_finite__UnI,
% 224.01/30.78 fact_42_image__constant, fact_430_finite__Un, fact_431_finite__Un,
% 224.01/30.78 fact_432_finite__Un, fact_433_finite__Un, fact_434_Un__insert__left,
% 224.01/30.78 fact_435_Un__insert__left, fact_436_Un__insert__left,
% 224.01/30.78 fact_437_Un__insert__right, fact_438_Un__insert__right,
% 224.01/30.78 fact_439_Un__insert__right, fact_43_image__constant, fact_440_Un__mono,
% 224.01/30.78 fact_441_Un__mono, fact_442_Un__least, fact_443_Un__least, fact_444_Un__absorb2,
% 224.01/30.78 fact_445_Un__absorb2, fact_446_Un__absorb1, fact_447_Un__absorb1,
% 224.01/30.78 fact_449_subset__Un__eq, fact_44_image__constant, fact_450_Un__upper2,
% 224.01/30.78 fact_451_Un__upper2, fact_452_Un__upper1, fact_453_Un__upper1,
% 224.01/30.78 fact_454_image__Un, fact_455_image__Un, fact_456_insert__def,
% 224.01/30.78 fact_457_insert__def, fact_458_insert__def, fact_459_insert__def,
% 224.01/30.78 fact_45_image__constant, fact_460_insert__def, fact_461_insert__is__Un,
% 224.01/30.78 fact_462_insert__is__Un, fact_463_insert__is__Un, fact_465_xt1_I6_J,
% 224.01/30.78 fact_466_xt1_I6_J, fact_467_xt1_I6_J, fact_468_xt1_I5_J, fact_469_xt1_I5_J,
% 224.01/30.78 fact_46_image__constant, fact_470_xt1_I5_J, fact_471_order__trans,
% 224.01/30.78 fact_472_order__trans, fact_473_order__trans, fact_474_order__antisym,
% 224.01/30.78 fact_475_order__antisym, fact_476_order__antisym, fact_477_xt1_I4_J,
% 224.01/30.78 fact_478_xt1_I4_J, fact_479_xt1_I4_J, fact_47_image__constant,
% 224.01/30.78 fact_480_ord__le__eq__trans, fact_481_ord__le__eq__trans,
% 224.01/30.78 fact_482_ord__le__eq__trans, fact_483_xt1_I3_J, fact_484_xt1_I3_J,
% 224.01/30.78 fact_485_xt1_I3_J, fact_486_ord__eq__le__trans, fact_487_ord__eq__le__trans,
% 224.01/30.78 fact_488_ord__eq__le__trans, fact_489_order__antisym__conv, fact_48_insert__dom,
% 224.01/30.78 fact_490_order__antisym__conv, fact_491_order__antisym__conv,
% 224.01/30.78 fact_492_order__eq__refl, fact_493_order__eq__refl, fact_494_order__eq__refl,
% 224.01/30.78 fact_495_order__eq__iff, fact_496_order__eq__iff, fact_497_order__eq__iff,
% 224.01/30.78 fact_498_option_Oinject, fact_499_option_Oinject, fact_49_insert__dom,
% 224.01/30.78 fact_500_option_Oinject, fact_501_constant, fact_503_le__bot, fact_504_le__bot,
% 224.01/30.78 fact_505_le__bot, fact_506_le__bot, fact_507_bot__unique, fact_508_bot__unique,
% 224.01/30.78 fact_509_bot__unique, fact_50_insert__dom, fact_510_bot__unique,
% 224.01/30.78 fact_511_bot__least, fact_512_bot__least, fact_513_bot__least,
% 224.01/30.78 fact_514_bot__least, fact_515_le__funE, fact_516_le__funE, fact_517_le__funD,
% 224.01/30.78 fact_518_le__funD, fact_519_le__fun__def, fact_51_insert__dom,
% 224.01/30.78 fact_520_le__fun__def, fact_521_bot__apply, fact_522_bot__apply,
% 224.01/30.78 fact_523_bot__apply, fact_524_bot__fun__def, fact_525_bot__fun__def,
% 224.01/30.78 fact_526_bot__fun__def, fact_527_finite__pointwise, fact_528_finite__pointwise,
% 224.01/30.78 fact_529_finite__pointwise, fact_52_finite__surj, fact_530_escape,
% 224.01/30.78 fact_532_conseq1, fact_533_conseq2, fact_535_sup1E, fact_536_sup1E,
% 224.01/30.78 fact_537_sup1CI, fact_538_sup1CI, fact_539_conseq12, fact_53_finite__surj,
% 224.01/30.78 fact_540_hoare__sound, fact_541_bot__empty__eq, fact_542_bot__empty__eq,
% 224.01/30.78 fact_543_bot__empty__eq, fact_544_rev__predicate1D, fact_545_rev__predicate1D,
% 224.01/30.78 fact_546_predicate1D, fact_547_predicate1D, fact_548_sup1I2, fact_549_sup1I2,
% 224.01/30.78 fact_54_finite__surj, fact_550_sup1I1, fact_551_sup1I1,
% 224.01/30.78 fact_552_pred__subset__eq, fact_553_pred__subset__eq, fact_554_pred__subset__eq,
% 224.01/30.78 fact_555_sup__Un__eq, fact_556_sup__Un__eq, fact_557_sup__Un__eq,
% 224.01/30.78 fact_558_le__funI, fact_559_le__funI, fact_55_finite__surj,
% 224.01/30.78 fact_560_Option_Oset_Osimps_I2_J, fact_561_Option_Oset_Osimps_I2_J,
% 224.01/30.78 fact_562_Option_Oset_Osimps_I2_J, fact_563_sup__apply, fact_564_sup__apply,
% 224.01/30.78 fact_565_sup__fun__def, fact_566_sup__fun__def, fact_567_single__stateE,
% 224.01/30.78 fact_568_sup__eq__bot__iff, fact_569_sup__eq__bot__iff, fact_56_finite__surj,
% 224.01/30.78 fact_570_sup__eq__bot__iff, fact_571_sup__eq__bot__iff, fact_572_elem__set,
% 224.01/30.78 fact_573_elem__set, fact_574_elem__set, fact_575_sup_Oidem, fact_576_sup_Oidem,
% 224.01/30.78 fact_577_sup_Oidem, fact_578_sup__idem, fact_579_sup__idem,
% 224.01/30.78 fact_57_finite__surj, fact_580_sup__idem, fact_581_sup_Ocommute,
% 224.01/30.78 fact_582_sup_Ocommute, fact_583_sup_Ocommute, fact_584_inf__sup__aci_I5_J,
% 224.01/30.78 fact_585_inf__sup__aci_I5_J, fact_586_inf__sup__aci_I5_J, fact_587_sup__commute,
% 224.01/30.78 fact_588_sup__commute, fact_589_sup__commute, fact_58_finite__surj,
% 224.01/30.78 fact_590_sup_Oleft__idem, fact_591_sup_Oleft__idem, fact_592_sup_Oleft__idem,
% 224.01/30.78 fact_593_inf__sup__aci_I8_J, fact_594_inf__sup__aci_I8_J,
% 224.01/30.78 fact_595_inf__sup__aci_I8_J, fact_596_sup__left__idem, fact_597_sup__left__idem,
% 224.01/30.78 fact_598_sup__left__idem, fact_599_sup_Oleft__commute, fact_59_finite__surj,
% 224.01/30.78 fact_600_sup_Oleft__commute, fact_601_sup_Oleft__commute,
% 224.01/30.78 fact_602_inf__sup__aci_I7_J, fact_603_inf__sup__aci_I7_J,
% 224.01/30.78 fact_604_inf__sup__aci_I7_J, fact_605_sup__left__commute,
% 224.01/30.78 fact_606_sup__left__commute, fact_607_sup__left__commute, fact_608_sup_Oassoc,
% 224.01/30.78 fact_609_sup_Oassoc, fact_60_finite__surj, fact_610_sup_Oassoc,
% 224.01/30.78 fact_611_inf__sup__aci_I6_J, fact_612_inf__sup__aci_I6_J,
% 224.01/30.78 fact_613_inf__sup__aci_I6_J, fact_614_sup__assoc, fact_615_sup__assoc,
% 224.01/30.78 fact_616_sup__assoc, fact_617_inf__sup__ord_I3_J, fact_618_inf__sup__ord_I3_J,
% 224.01/30.78 fact_619_inf__sup__ord_I3_J, fact_61_finite__surj, fact_620_sup__ge1,
% 224.01/30.78 fact_621_sup__ge1, fact_622_sup__ge1, fact_623_inf__sup__ord_I4_J,
% 224.01/30.78 fact_624_inf__sup__ord_I4_J, fact_625_inf__sup__ord_I4_J, fact_626_sup__ge2,
% 224.01/30.78 fact_627_sup__ge2, fact_628_sup__ge2, fact_62_finite__surj,
% 224.01/30.78 fact_630_le__iff__sup, fact_631_le__iff__sup, fact_632_le__sup__iff,
% 224.01/30.78 fact_633_le__sup__iff, fact_634_le__sup__iff, fact_635_le__supI1,
% 224.01/30.78 fact_636_le__supI1, fact_637_le__supI1, fact_638_le__supI2, fact_639_le__supI2,
% 224.01/30.78 fact_63_subset__singletonD, fact_640_le__supI2, fact_641_sup__absorb2,
% 224.01/30.78 fact_642_sup__absorb2, fact_643_sup__absorb2, fact_644_sup__absorb1,
% 224.01/30.78 fact_645_sup__absorb1, fact_646_sup__absorb1, fact_647_le__supI,
% 224.01/30.78 fact_648_le__supI, fact_649_le__supI, fact_64_subset__singletonD,
% 224.01/30.78 fact_650_sup__least, fact_651_sup__least, fact_652_sup__least,
% 224.01/30.78 fact_653_sup__mono, fact_654_sup__mono, fact_655_sup__mono, fact_656_le__supE,
% 224.01/30.78 fact_657_le__supE, fact_658_le__supE, fact_659_sup__bot__left,
% 224.01/30.78 fact_65_subset__singletonD, fact_660_sup__bot__left, fact_661_sup__bot__left,
% 224.01/30.78 fact_662_sup__bot__left, fact_663_sup__bot__right, fact_664_sup__bot__right,
% 224.01/30.78 fact_665_sup__bot__right, fact_666_sup__bot__right, fact_667_ospec,
% 224.01/30.78 fact_668_ospec, fact_669_ospec, fact_670_folding__one__idem_Ounion__idem,
% 224.01/30.78 fact_671_folding__one__idem_Ounion__idem,
% 224.01/30.78 fact_672_folding__one__idem_Ounion__idem,
% 224.01/30.78 fact_673_folding__one__idem_Ounion__idem,
% 224.01/30.78 fact_674_folding__one__idem_Ounion__idem,
% 224.01/30.78 fact_675_folding__one__idem_Osubset__idem,
% 224.01/30.78 fact_676_folding__one__idem_Osubset__idem,
% 224.01/30.78 fact_677_folding__one__idem_Osubset__idem,
% 224.01/30.78 fact_678_folding__one__idem_Osubset__idem,
% 224.01/30.78 fact_679_folding__one__idem_Osubset__idem, fact_67_emptyE,
% 224.01/30.78 fact_680_hoare__derivs_OSkip, fact_681_folding__one__idem_Oinsert__idem,
% 224.01/30.78 fact_682_folding__one__idem_Oinsert__idem,
% 224.01/30.78 fact_683_folding__one__idem_Oinsert__idem,
% 224.01/30.78 fact_684_folding__one__idem_Oinsert__idem,
% 224.01/30.78 fact_685_folding__one__idem_Oinsert__idem, fact_686_finite__ne__induct,
% 224.01/30.78 fact_687_finite__ne__induct, fact_688_finite__ne__induct,
% 224.01/30.78 fact_689_finite__ne__induct, fact_68_emptyE, fact_690_finite__ne__induct,
% 224.01/30.78 fact_691_LoopF, fact_692_Comp, fact_693_WTs__elim__cases_I6_J,
% 224.01/30.78 fact_694_WTs__elim__cases_I4_J, fact_695_folding__one__idem_Oidem,
% 224.01/30.78 fact_696_folding__one__idem_Oidem, fact_697_com_Osimps_I12_J,
% 224.01/30.78 fact_698_com_Osimps_I16_J, fact_699_com_Osimps_I13_J, fact_69_emptyE,
% 224.01/30.78 fact_700_com_Osimps_I17_J, fact_701_com_Osimps_I46_J, fact_702_com_Osimps_I47_J,
% 224.01/30.78 fact_703_com_Osimps_I3_J, fact_704_com_Osimps_I5_J, fact_705_com_Osimps_I59_J,
% 224.01/30.78 fact_706_com_Osimps_I58_J, fact_707_While, fact_708_com_Osimps_I49_J,
% 224.01/30.78 fact_709_com_Osimps_I48_J, fact_70_insertCI, fact_710_WT_OSemi,
% 224.01/30.78 fact_711_com_Osimps_I18_J, fact_712_com_Osimps_I19_J, fact_713_WT_OSkip,
% 224.01/30.78 fact_714_folding__one__idem_Oin__idem, fact_715_folding__one__idem_Oin__idem,
% 224.01/30.78 fact_716_folding__one__idem_Oin__idem, fact_717_folding__one__idem_Oin__idem,
% 224.01/30.78 fact_718_folding__one__idem_Oin__idem,
% 224.01/30.78 fact_719_folding__one__idem_Ohom__commute, fact_71_insertCI,
% 224.01/30.78 fact_720_folding__one__idem_Ohom__commute,
% 224.01/30.78 fact_721_folding__one__idem_Ohom__commute,
% 224.01/30.78 fact_722_folding__one__idem_Ohom__commute,
% 224.01/30.78 fact_723_folding__one__idem_Ohom__commute, fact_724_the__elem__def,
% 224.01/30.78 fact_725_the__elem__def, fact_726_the__elem__def, fact_727_folding__one_Oinsert,
% 224.01/30.78 fact_728_folding__one_Oinsert, fact_729_folding__one_Oinsert, fact_72_insertCI,
% 224.01/30.78 fact_730_folding__one_Oinsert, fact_731_folding__one_Oinsert,
% 224.01/30.78 fact_732_triple_Oexhaust, fact_733_folding__one_Osingleton,
% 224.01/30.78 fact_734_folding__one_Osingleton, fact_735_folding__one_Osingleton,
% 224.01/30.78 fact_736_folding__one_Oclosed, fact_737_folding__one_Oclosed,
% 224.01/30.78 fact_738_folding__one_Oclosed, fact_739_folding__one_Oclosed, fact_73_insertE,
% 224.01/30.78 fact_740_folding__one_Oclosed, fact_741_image__cong, fact_742_Collect__mono,
% 224.01/30.78 fact_743_Collect__mono, fact_744_Collect__mono, fact_745_Collect__mono,
% 224.01/30.78 fact_746_predicate1I, fact_747_predicate1I, fact_748_mk__disjoint__insert,
% 224.01/30.78 fact_749_mk__disjoint__insert, fact_74_insertE, fact_750_mk__disjoint__insert,
% 224.01/30.78 fact_751_Set_Oset__insert, fact_752_Set_Oset__insert, fact_753_Set_Oset__insert,
% 224.01/30.78 fact_754_equals0I, fact_755_equals0I, fact_756_equals0I, fact_757_MGT__alternD,
% 224.01/30.78 fact_758_xt1_I15_J, fact_759_xt1_I15_J, fact_75_insertE, fact_760_xt1_I15_J,
% 224.01/30.78 fact_761_MGT__alternI, fact_762_MGT__def, fact_763_evalc__elim__cases_I6_J,
% 224.01/30.78 fact_764_evalc_OBody, fact_765_evalc__elim__cases_I1_J, fact_766_evalc_OSkip,
% 224.01/30.78 fact_767_evalc_OSemi, fact_768_evalc_OWhileTrue, fact_769_evalc_OWhileFalse,
% 224.01/30.78 fact_76_equalityI, fact_770_com__det, fact_771_evalc__elim__cases_I4_J,
% 224.01/30.78 fact_772_evalc__WHILE__case, fact_773_xt1_I16_J, fact_774_xt1_I16_J,
% 224.01/30.78 fact_775_xt1_I16_J, fact_776_folding__one_Ounion__inter,
% 224.01/30.78 fact_777_folding__one_Ounion__inter, fact_778_folding__one_Ounion__inter,
% 224.01/30.78 fact_779_folding__one_Ounion__inter, fact_77_equalityI,
% 224.01/30.78 fact_780_folding__one_Ounion__inter, fact_781_folding__one_Ounion__disjoint,
% 224.01/30.78 fact_782_folding__one_Ounion__disjoint, fact_783_folding__one_Ounion__disjoint,
% 224.01/30.78 fact_784_folding__one_Ounion__disjoint, fact_785_folding__one_Ounion__disjoint,
% 224.01/30.78 fact_786_folding__one_Oinsert__remove, fact_787_folding__one_Oinsert__remove,
% 224.01/30.78 fact_788_folding__one_Oinsert__remove, fact_789_folding__one_Oinsert__remove,
% 224.01/30.78 fact_78_subsetD, fact_790_folding__one_Oinsert__remove,
% 224.01/30.78 fact_791_folding__one_Oremove, fact_792_folding__one_Oremove,
% 224.01/30.78 fact_793_folding__one_Oremove, fact_794_folding__one_Oremove,
% 224.01/30.78 fact_795_folding__one_Oremove, fact_796_is__none__code_I2_J,
% 224.01/30.78 fact_797_is__none__code_I2_J, fact_798_is__none__code_I2_J, fact_799_conseq,
% 224.01/30.78 fact_79_subsetD, fact_7_MGT__BodyN, fact_800_IntE, fact_801_IntE, fact_802_IntE,
% 224.01/30.78 fact_803_IntI, fact_804_IntI, fact_805_IntI, fact_806_DiffE, fact_807_DiffE,
% 224.01/30.78 fact_808_DiffE, fact_809_DiffI, fact_80_subsetD, fact_810_DiffI, fact_811_DiffI,
% 224.01/30.78 fact_812_finite__Int, fact_813_finite__Int, fact_814_finite__Int,
% 224.01/30.78 fact_815_finite__Int, fact_816_finite__Diff, fact_817_finite__Diff,
% 224.01/30.78 fact_818_finite__Diff, fact_819_finite__Diff, fact_81_image__eqI,
% 224.01/30.78 fact_820_inf__Int__eq, fact_821_inf__Int__eq, fact_822_inf__Int__eq,
% 224.01/30.78 fact_823_Diff__disjoint, fact_824_Diff__disjoint, fact_825_Diff__disjoint,
% 224.01/30.78 fact_826_Diff__triv, fact_827_Diff__triv, fact_828_Diff__triv, fact_829_DiffD2,
% 224.01/30.78 fact_82_image__eqI, fact_830_DiffD2, fact_831_DiffD2, fact_832_IntD2,
% 224.01/30.78 fact_833_IntD2, fact_834_IntD2, fact_835_IntD1, fact_836_IntD1, fact_837_IntD1,
% 224.01/30.78 fact_838_DiffD1, fact_839_DiffD1, fact_83_image__eqI, fact_840_DiffD1,
% 224.01/30.78 fact_841_Int__iff, fact_842_Int__iff, fact_843_Int__iff, fact_844_Diff__iff,
% 224.01/30.78 fact_845_Diff__iff, fact_846_Diff__iff, fact_847_Int__def, fact_848_Int__def,
% 224.01/30.78 fact_849_Int__def, fact_84_image__eqI, fact_850_Int__def, fact_851_Int__def,
% 224.01/30.78 fact_852_set__diff__eq, fact_853_set__diff__eq, fact_854_set__diff__eq,
% 224.01/30.78 fact_855_set__diff__eq, fact_856_set__diff__eq, fact_857_Int__Collect,
% 224.01/30.78 fact_858_Int__Collect, fact_859_Int__Collect, fact_85_image__eqI,
% 224.01/30.78 fact_860_Int__Collect, fact_861_Int__Collect, fact_862_Collect__conj__eq,
% 224.01/30.78 fact_863_Collect__conj__eq, fact_864_Collect__conj__eq,
% 224.01/30.78 fact_865_Collect__conj__eq, fact_866_Diff__Int, fact_867_Diff__Int,
% 224.01/30.78 fact_868_Diff__Un, fact_869_Diff__Un, fact_86_equals0D, fact_870_Un__Diff__Int,
% 224.01/30.78 fact_871_Un__Diff__Int, fact_872_inf__sup__ord_I1_J,
% 224.01/30.78 fact_873_inf__sup__ord_I1_J, fact_874_inf__sup__ord_I1_J, fact_875_inf__le1,
% 224.01/30.78 fact_876_inf__le1, fact_877_inf__le1, fact_878_inf__sup__ord_I2_J,
% 224.01/30.78 fact_879_inf__sup__ord_I2_J, fact_87_equals0D, fact_880_inf__sup__ord_I2_J,
% 224.01/30.78 fact_881_inf__le2, fact_882_inf__le2, fact_883_inf__le2, fact_884_le__iff__inf,
% 224.01/30.78 fact_885_le__iff__inf, fact_886_le__iff__inf, fact_887_le__inf__iff,
% 224.01/30.78 fact_888_le__inf__iff, fact_889_le__inf__iff, fact_88_equals0D,
% 224.01/30.78 fact_890_le__infI1, fact_891_le__infI1, fact_892_le__infI1, fact_893_le__infI2,
% 224.01/30.78 fact_894_le__infI2, fact_895_le__infI2, fact_896_inf__absorb1,
% 224.01/30.78 fact_897_inf__absorb1, fact_898_inf__absorb1, fact_899_inf__absorb2,
% 224.01/30.78 fact_89_Collect__empty__eq, fact_8_finite__Collect__subsets,
% 224.01/30.78 fact_900_inf__absorb2, fact_901_inf__absorb2, fact_902_le__infI,
% 224.01/30.78 fact_903_le__infI, fact_904_le__infI, fact_905_inf__greatest,
% 224.01/30.78 fact_906_inf__greatest, fact_907_inf__greatest, fact_908_inf__mono,
% 224.01/30.78 fact_909_inf__mono, fact_90_Collect__empty__eq, fact_910_inf__mono,
% 224.01/30.78 fact_911_le__infE, fact_912_le__infE, fact_913_le__infE,
% 224.01/30.78 fact_914_inf__bot__right, fact_915_inf__bot__right, fact_916_inf__bot__right,
% 224.01/30.78 fact_917_inf__bot__right, fact_918_inf__bot__left, fact_919_inf__bot__left,
% 224.01/30.78 fact_91_Collect__empty__eq, fact_920_inf__bot__left, fact_921_inf__bot__left,
% 224.01/30.78 fact_922_inf__sup__absorb, fact_923_inf__sup__absorb, fact_924_inf__sup__absorb,
% 224.01/30.78 fact_925_sup__inf__absorb, fact_926_sup__inf__absorb, fact_927_sup__inf__absorb,
% 224.01/30.78 fact_928_inf__sup__distrib1, fact_929_inf__sup__distrib1,
% 224.01/30.78 fact_92_Collect__empty__eq, fact_930_inf__sup__distrib1,
% 224.01/30.78 fact_931_sup__inf__distrib1, fact_932_sup__inf__distrib1,
% 224.01/30.78 fact_933_sup__inf__distrib1, fact_934_inf__sup__distrib2,
% 224.01/30.78 fact_935_inf__sup__distrib2, fact_936_inf__sup__distrib2,
% 224.01/30.78 fact_937_sup__inf__distrib2, fact_938_sup__inf__distrib2,
% 224.01/30.78 fact_939_sup__inf__distrib2, fact_93_Collect__empty__eq, fact_940_Diff__cancel,
% 224.01/30.78 fact_941_Diff__cancel, fact_942_Diff__cancel, fact_943_Diff__empty,
% 224.01/30.78 fact_944_Diff__empty, fact_945_Diff__empty, fact_946_empty__Diff,
% 224.01/30.78 fact_947_empty__Diff, fact_948_empty__Diff, fact_949_finite__Diff2,
% 224.01/30.78 fact_94_empty__iff, fact_950_finite__Diff2, fact_951_finite__Diff2,
% 224.01/30.78 fact_952_finite__Diff2, fact_953_insert__Diff1, fact_954_insert__Diff1,
% 224.01/30.78 fact_955_insert__Diff1, fact_956_insert__Diff__if, fact_957_insert__Diff__if,
% 224.01/30.78 fact_958_insert__Diff__if, fact_959_disjoint__iff__not__equal,
% 224.01/30.78 fact_95_empty__iff, fact_960_disjoint__iff__not__equal,
% 224.01/30.78 fact_961_disjoint__iff__not__equal, fact_962_Int__empty__right,
% 224.01/30.78 fact_963_Int__empty__right, fact_964_Int__empty__right,
% 224.01/30.78 fact_965_Int__empty__left, fact_966_Int__empty__left, fact_967_Int__empty__left,
% 224.01/30.78 fact_968_double__diff, fact_969_double__diff, fact_96_empty__iff,
% 224.01/30.78 fact_970_Diff__mono, fact_971_Diff__mono, fact_972_Diff__subset,
% 224.01/30.78 fact_973_Diff__subset, fact_974_Un__Diff, fact_975_Un__Diff,
% 224.01/30.78 fact_976_Un__Diff__cancel2, fact_977_Un__Diff__cancel2,
% 224.01/30.78 fact_978_Un__Diff__cancel, fact_979_Un__Diff__cancel,
% 224.01/30.78 fact_97_empty__Collect__eq, fact_980_Int__insert__left__if1,
% 224.01/30.78 fact_981_Int__insert__left__if1, fact_982_Int__insert__left__if1,
% 224.01/30.78 fact_983_Int__insert__right__if1, fact_984_Int__insert__right__if1,
% 224.01/30.78 fact_985_Int__insert__right__if1, fact_986_Int__insert__left__if0,
% 224.01/30.78 fact_987_Int__insert__left__if0, fact_988_Int__insert__left__if0,
% 224.01/30.78 fact_989_Int__insert__right__if0, fact_98_empty__Collect__eq,
% 224.01/30.78 fact_990_Int__insert__right__if0, fact_991_Int__insert__right__if0,
% 224.01/30.78 fact_992_insert__inter__insert, fact_993_insert__inter__insert,
% 224.01/30.78 fact_994_insert__inter__insert, fact_995_Int__insert__left,
% 224.01/30.78 fact_996_Int__insert__left, fact_997_Int__insert__left,
% 224.01/30.78 fact_998_Int__insert__right, fact_999_Int__insert__right,
% 224.01/30.78 fact_99_empty__Collect__eq, fact_9_finite__Collect__subsets,
% 224.01/30.78 gsy_c_Com_OWT__bodies,
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% 224.01/30.78 gsy_c_Finite__Set_Ocomp__fun__idem_000tc__Com__Opname_000tc__fun_Itc__Com__Opnam,
% 224.01/30.78 gsy_c_Finite__Set_Ocomp__fun__idem_000tc__HOL__Obool_000tc__HOL__Obool,
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% 224.01/30.78 gsy_c_Finite__Set_Ocomp__fun__idem_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,
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% 224.01/30.78 gsy_c_Finite__Set_Ofinite_000tc__Com__Opname,
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% 224.01/30.78 gsy_c_Finite__Set_Ofolding__one_000tc__Com__Opname,
% 224.01/30.78 gsy_c_Finite__Set_Ofolding__one_000tc__Hoare____Mirabelle____uwgpyvfjxg__Otriple,
% 224.01/30.78 gsy_c_Finite__Set_Ofolding__one_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,
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% 224.01/30.78 gsy_c_Finite__Set_Ofolding__one__idem_000tc__Com__Ocom,
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% 224.01/30.78 gsy_c_Finite__Set_Ofolding__one__idem_000tc__Hoare____Mirabelle____uwgpyvfjxg__O,
% 224.01/30.78 gsy_c_Finite__Set_Ofolding__one__idem_000tc__fun_Itc__Com__Opname_Mtc__HOL__Oboo,
% 224.01/30.78 gsy_c_Finite__Set_Ofolding__one__idem_000tc__fun_Itc__Hoare____Mirabelle____uwgp,
% 224.01/30.78 gsy_c_Fun_Oinj__on_000tc__Com__Opname_000tc__Com__Opname,
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% 224.01/30.78 gsy_c_Fun_Oinj__on_000tc__Com__Opname_000tc__Option__Ooption_Itc__Com__Opname_J,
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% 224.01/30.78 gsy_c_HOL_Oundefined_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,
% 224.01/30.78 gsy_c_HOL_Oundefined_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc_,
% 224.01/30.78 gsy_c_Hoare__Mirabelle__uwgpyvfjxg_Ostate__not__singleton,
% 224.01/30.78 gsy_c_Map_Odom_000tc__Com__Opname_000tc__Com__Opname,
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% 224.01/30.78 gsy_c_Option_Ois__none_000tc__Com__Ocom,
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% 224.01/30.78 gsy_c_Option_Ooption_ONone_000tc__Com__Opname,
% 224.01/30.78 gsy_c_Option_Oset_000tc__Com__Opname,
% 224.01/30.78 gsy_c_Orderings_Obot__class_Obot_000tc__HOL__Obool,
% 224.01/30.78 gsy_c_Orderings_Obot__class_Obot_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,
% 224.01/30.78 gsy_c_Orderings_Obot__class_Obot_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__,
% 224.01/30.78 gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,
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% 224.01/30.78 gsy_c_fFalse, gsy_c_fTrue, gsy_c_hAPP_000tc__Com__Ocom_000tc__Com__Opname,
% 224.01/30.78 gsy_c_hAPP_000tc__Com__Ocom_000tc__HOL__Obool,
% 224.01/30.78 gsy_c_hAPP_000tc__Com__Ocom_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,
% 224.01/30.78 gsy_c_hAPP_000tc__Com__Opname_000tc__Com__Opname,
% 224.01/30.78 gsy_c_hAPP_000tc__Com__Opname_000tc__HOL__Obool,
% 224.01/30.78 gsy_c_hAPP_000tc__Com__Opname_000tc__Option__Ooption_Itc__Com__Opname_J,
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% 224.01/30.78 gsy_c_hAPP_000tc__Com__Opname_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obo,
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% 224.01/30.78 gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Oboo,
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% 224.01/30.78 gsy_c_hAPP_000tc__Hoare____Mirabelle____uwgpyvfjxg__Otriple_Itc__Com__Ostate_J_0_001,
% 224.01/30.78 gsy_c_hAPP_000tc__Hoare____Mirabelle____uwgpyvfjxg__Otriple_Itc__Com__Ostate_J_0_002,
% 224.01/30.78 gsy_c_hAPP_000tc__Hoare____Mirabelle____uwgpyvfjxg__Otriple_Itc__Com__Ostate_J_0_003,
% 224.01/30.78 gsy_c_hAPP_000tc__Hoare____Mirabelle____uwgpyvfjxg__Otriple_Itc__Com__Ostate_J_0_004,
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% 224.01/30.78 help_fequal_2_1_fequal_000tc__Hoare____Mirabelle____uwgpyvfjxg__Otriple_Itc__Com,
% 224.01/30.78 help_fequal_2_1_fequal_000tc__Option__Ooption_Itc__Com__Ocom_J_T,
% 224.01/30.78 help_fequal_2_1_fequal_000tc__fun_Itc__Com__Ocom_Mtc__HOL__Obool_J_T,
% 224.01/30.78 help_fequal_2_1_fequal_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_T,
% 224.01/30.78 help_fequal_2_1_fequal_000tc__fun_Itc__Hoare____Mirabelle____uwgpyvfjxg__Otriple,
% 224.01/30.78 help_fimplies_1_1_U, help_fimplies_2_1_U, help_fimplies_3_1_U
% 224.01/30.78
% 224.01/30.78 Those formulas are unsatisfiable:
% 224.01/30.78 ---------------------------------
% 224.01/30.78
% 224.01/30.78 Begin of proof
% 224.01/30.78 |
% 224.01/30.78 | ALPHA: (fact_0_empty) implies:
% 224.01/30.78 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ (hoare_512830354_state(v0) = v1) | ~
% 224.01/30.78 | $i(v0) | ? [v2: $i] : (hAPP_f1378282496l_bool(v1,
% 224.01/30.78 | bot_bo784226126e_bool) = v2 & $i(v2) & hBOOL(v2)))
% 224.01/30.78 |
% 224.01/30.78 | ALPHA: (fact_5_hoare__derivs_Oinsert) implies:
% 224.01/30.78 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 224.01/30.78 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 224.01/30.78 | (hAPP_H1902130436e_bool(insert1744391420_state, v2) = v4) | ~
% 224.01/30.78 | (hAPP_f806699093e_bool(v4, bot_bo784226126e_bool) = v5) | ~
% 224.01/30.78 | (hoare_512830354_state(v1) = v3) | ~ (hAPP_f1378282496l_bool(v3, v5)
% 224.01/30.78 | = v6) | ~ (hAPP_f1378282496l_bool(v3, v0) = v7) | ~ $i(v2) | ~
% 224.01/30.78 | $i(v1) | ~ $i(v0) | ~ hBOOL(v7) | ~ hBOOL(v6) | ? [v8: $i] : ?
% 224.01/30.78 | [v9: $i] : (hAPP_f806699093e_bool(v4, v0) = v8 &
% 224.01/30.78 | hAPP_f1378282496l_bool(v3, v8) = v9 & $i(v9) & $i(v8) & hBOOL(v9)))
% 224.01/30.78 |
% 224.01/30.78 | ALPHA: (fact_6_derivs__insertD) implies:
% 224.01/30.78 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 224.01/30.78 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 224.01/30.78 | (hAPP_H1902130436e_bool(insert1744391420_state, v1) = v4) | ~
% 224.01/30.78 | (hAPP_f806699093e_bool(v4, bot_bo784226126e_bool) = v5) | ~
% 224.01/30.78 | (hoare_512830354_state(v0) = v3) | ~ (hAPP_f1378282496l_bool(v3, v5)
% 224.01/30.78 | = v6) | ~ (hAPP_f1378282496l_bool(v3, v2) = v7) | ~ $i(v2) | ~
% 224.01/30.78 | $i(v1) | ~ $i(v0) | hBOOL(v6) | ? [v8: $i] : ? [v9: $i] :
% 224.01/30.78 | (hAPP_f806699093e_bool(v4, v2) = v8 & hAPP_f1378282496l_bool(v3, v8)
% 224.01/30.78 | = v9 & $i(v9) & $i(v8) & ~ hBOOL(v9)))
% 224.01/30.79 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 224.01/30.79 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 224.01/30.79 | (hAPP_H1902130436e_bool(insert1744391420_state, v1) = v4) | ~
% 224.01/30.79 | (hAPP_f806699093e_bool(v4, bot_bo784226126e_bool) = v5) | ~
% 224.01/30.79 | (hoare_512830354_state(v0) = v3) | ~ (hAPP_f1378282496l_bool(v3, v5)
% 224.01/30.79 | = v6) | ~ (hAPP_f1378282496l_bool(v3, v2) = v7) | ~ $i(v2) | ~
% 224.01/30.79 | $i(v1) | ~ $i(v0) | hBOOL(v7) | ? [v8: $i] : ? [v9: $i] :
% 224.01/30.79 | (hAPP_f806699093e_bool(v4, v2) = v8 & hAPP_f1378282496l_bool(v3, v8)
% 224.01/30.79 | = v9 & $i(v9) & $i(v8) & ~ hBOOL(v9)))
% 224.01/30.79 |
% 224.01/30.79 | ALPHA: (fact_66_MGF) implies:
% 224.01/30.79 | (5) ? [v0: $i] : (hoare_512830354_state(bot_bo784226126e_bool) = v0 &
% 224.01/30.79 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~
% 224.01/30.79 | (hAPP_c1455475371_state(hoare_Mirabelle_MGT, v1) = v2) | ~ $i(v1)
% 224.01/30.79 | | ~ hBOOL(hoare_1795711768gleton) | ~ hBOOL(wT_bodies) | ? [v3:
% 224.01/30.79 | $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] :
% 224.01/30.79 | ((hAPP_H1902130436e_bool(insert1744391420_state, v2) = v4 &
% 224.01/30.79 | hAPP_f806699093e_bool(v4, bot_bo784226126e_bool) = v5 &
% 224.01/30.79 | hAPP_f1378282496l_bool(v0, v5) = v6 & $i(v6) & $i(v5) & $i(v4)
% 224.01/30.79 | & hBOOL(v6)) | (hAPP_com_bool(wt, v1) = v3 & $i(v3) & ~
% 224.01/30.79 | hBOOL(v3)))))
% 224.01/30.79 |
% 224.01/30.79 | ALPHA: (fact_112_empty__def) implies:
% 224.01/30.79 | (6) ? [v0: $i] : (hAPP_b974863576e_bool(cOMBK_988866959_state, fFalse) =
% 224.01/30.79 | v0 & hAPP_f806699093e_bool(collec637225377_state, v0) =
% 224.01/30.79 | bot_bo784226126e_bool & $i(v0))
% 224.01/30.79 |
% 224.01/30.79 | ALPHA: (fact_121_insert__ident) implies:
% 224.01/30.79 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 224.01/30.79 | ! [v5: $i] : ( ~ (hAPP_H2039996199l_bool(member1667945571_state, v1) =
% 224.01/30.79 | v3) | ~ (hAPP_f1378282496l_bool(v3, v2) = v4) | ~
% 224.01/30.79 | (hAPP_f1378282496l_bool(v3, v0) = v5) | ~ $i(v2) | ~ $i(v1) | ~
% 224.01/30.79 | $i(v0) | hBOOL(v5) | hBOOL(v4) | ? [v6: $i] : ? [v7: $i] : ? [v8:
% 224.01/30.79 | $i] : (( ~ (v2 = v0) | (v8 = v7 &
% 224.01/30.79 | hAPP_H1902130436e_bool(insert1744391420_state, v1) = v6 &
% 224.01/30.79 | hAPP_f806699093e_bool(v6, v0) = v7 & $i(v7) & $i(v6))) & (v2 =
% 224.01/30.79 | v0 | ( ~ (v8 = v7) &
% 224.01/30.79 | hAPP_H1902130436e_bool(insert1744391420_state, v1) = v6 &
% 224.01/30.79 | hAPP_f806699093e_bool(v6, v2) = v7 & hAPP_f806699093e_bool(v6,
% 224.01/30.79 | v0) = v8 & $i(v8) & $i(v7) & $i(v6)))))
% 224.01/30.79 |
% 224.01/30.79 | ALPHA: (fact_133_insert__absorb2) implies:
% 224.01/30.79 | (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 224.01/30.79 | (v4 = v3 | ~ (hAPP_H1902130436e_bool(insert1744391420_state, v0) = v2)
% 224.01/30.79 | | ~ (hAPP_f806699093e_bool(v2, v3) = v4) | ~
% 224.01/30.79 | (hAPP_f806699093e_bool(v2, v1) = v3) | ~ $i(v1) | ~ $i(v0))
% 224.01/30.79 |
% 224.01/30.79 | ALPHA: (fact_240_Collect__def) implies:
% 224.01/30.79 | (9) ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~
% 224.01/30.79 | (hAPP_f806699093e_bool(collec637225377_state, v0) = v1) | ~ $i(v0))
% 224.01/30.79 |
% 224.01/30.79 | ALPHA: (fact_296_MGF__lemma1) implies:
% 224.01/30.79 | (10) ? [v0: $i] : (dom_pname_com(body) = v0 & $i(v0) & ! [v1: $i] : !
% 224.01/30.79 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] :
% 224.01/30.79 | ! [v7: $i] : ( ~ (hAPP_c1455475371_state(hoare_Mirabelle_MGT, v1) =
% 224.01/30.79 | v4) | ~ (hAPP_H1902130436e_bool(insert1744391420_state, v4) =
% 224.01/30.79 | v5) | ~ (hAPP_f806699093e_bool(v5, bot_bo784226126e_bool) = v6)
% 224.01/30.79 | | ~ (hoare_512830354_state(v2) = v3) | ~
% 224.01/30.79 | (hAPP_f1378282496l_bool(v3, v6) = v7) | ~ $i(v2) | ~ $i(v1) | ~
% 224.01/30.79 | hBOOL(hoare_1795711768gleton) | hBOOL(v7) | ? [v8: $i] : ? [v9:
% 224.01/30.79 | $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i]
% 224.01/30.79 | : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ($i(v9) &
% 224.01/30.79 | ((hAPP_pname_com(body_1, v9) = v12 &
% 224.01/30.79 | hAPP_c1455475371_state(hoare_Mirabelle_MGT, v12) = v13 &
% 224.01/30.79 | hAPP_H1902130436e_bool(insert1744391420_state, v13) = v14 &
% 224.01/30.79 | hAPP_f806699093e_bool(v14, bot_bo784226126e_bool) = v15 &
% 224.01/30.79 | hAPP_f1378282496l_bool(v3, v15) = v16 &
% 224.01/30.79 | hAPP_f1664156314l_bool(v10, v0) = v11 &
% 224.01/30.79 | hAPP_p338031245l_bool(member_pname, v9) = v10 & $i(v16) &
% 224.01/30.79 | $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) &
% 224.01/30.79 | hBOOL(v11) & is_pname(v9) & ~ hBOOL(v16)) |
% 224.01/30.79 | (hAPP_com_bool(wt, v1) = v8 & $i(v8) & ~ hBOOL(v8))))))
% 224.01/30.79 |
% 224.01/30.79 | ALPHA: (fact_297_WT__bodiesD) implies:
% 224.01/30.79 | (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 224.01/30.79 | (hAPP_com_option_com(some_com, v1) = v2) | ~
% 224.01/30.79 | (hAPP_p799580910on_com(body, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 224.01/30.79 | hBOOL(wT_bodies) | ? [v3: $i] : (hAPP_com_bool(wt, v1) = v3 &
% 224.01/30.79 | $i(v3) & hBOOL(v3)))
% 224.01/30.79 |
% 224.01/30.79 | ALPHA: (fact_322_finite__subset__image) implies:
% 224.01/30.79 | (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 224.01/30.79 | ! [v5: $i] : ! [v6: $i] : ( ~ (image_185131637_state(v0) = v4) | ~
% 224.01/30.79 | (hAPP_f360545851e_bool(v4, v1) = v5) | ~
% 224.01/30.79 | (hAPP_f849457489l_bool(ord_le1449778818e_bool, v2) = v3) | ~
% 224.01/30.79 | (hAPP_f1378282496l_bool(v3, v5) = v6) | ~ $i(v2) | ~ $i(v1) | ~
% 224.01/30.79 | $i(v0) | ~ hBOOL(v6) | ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 224.01/30.79 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ($i(v8) & ((v12 = v2 &
% 224.01/30.79 | hAPP_f360545851e_bool(v4, v8) = v2 &
% 224.01/30.79 | hAPP_f434788991l_bool(ord_le313189616e_bool, v8) = v9 &
% 224.01/30.79 | hAPP_f1664156314l_bool(v9, v1) = v10 &
% 224.01/30.79 | hAPP_f1664156314l_bool(finite_finite_pname, v8) = v11 &
% 224.01/30.79 | $i(v11) & $i(v10) & $i(v9) & hBOOL(v11) & hBOOL(v10) &
% 224.01/30.79 | is_fun_pname_bool(v8)) |
% 224.01/30.79 | (hAPP_f1378282496l_bool(finite694102371_state, v2) = v7 & $i(v7)
% 224.01/30.79 | & ~ hBOOL(v7)))))
% 224.01/30.79 |
% 224.01/30.79 | ALPHA: (fact_323_finite__dom__body) implies:
% 224.01/30.79 | (13) ? [v0: $i] : ? [v1: $i] :
% 224.01/30.79 | (hAPP_f1664156314l_bool(finite_finite_pname, v0) = v1 &
% 224.01/30.79 | dom_pname_com(body) = v0 & $i(v1) & $i(v0) & hBOOL(v1))
% 224.01/30.79 |
% 224.01/30.79 | ALPHA: (fact_349_MGT__Body) implies:
% 224.01/30.79 | (14) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 224.01/30.79 | ? [v5: $i] : ? [v6: $i] : (cOMBB_271860050_pname(hoare_Mirabelle_MGT)
% 224.01/30.79 | = v0 & cOMBB_923936821_pname(the_com) = v3 &
% 224.01/30.79 | hAPP_f96342628me_com(v3, body) = v4 & hAPP_f1377420673_state(v0, v4)
% 224.01/30.79 | = v5 & hAPP_f1377420673_state(v0, body_1) = v1 &
% 224.01/30.79 | image_185131637_state(v5) = v6 & image_185131637_state(v1) = v2 &
% 224.01/30.79 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & !
% 224.01/30.79 | [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] :
% 224.01/30.79 | ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ( ~
% 224.01/30.79 | (hAPP_f1794460506e_bool(semila176469292e_bool, v7) = v9) | ~
% 224.01/30.79 | (hAPP_f360545851e_bool(v6, v8) = v13) | ~
% 224.01/30.79 | (hAPP_f360545851e_bool(v2, v8) = v10) | ~
% 224.01/30.79 | (hAPP_f806699093e_bool(v9, v10) = v11) | ~
% 224.01/30.79 | (hoare_512830354_state(v11) = v12) | ~
% 224.01/30.79 | (hAPP_f1378282496l_bool(v12, v13) = v14) | ~ $i(v8) | ~ $i(v7) |
% 224.01/30.79 | ~ hBOOL(v14) | ? [v15: $i] : ? [v16: $i] : ? [v17: $i] :
% 224.01/30.79 | ((hoare_512830354_state(v7) = v16 & hAPP_f1378282496l_bool(v16,
% 224.01/30.79 | v10) = v17 & $i(v17) & $i(v16) & hBOOL(v17)) |
% 224.01/30.79 | (hAPP_f1664156314l_bool(finite_finite_pname, v8) = v15 & $i(v15)
% 224.01/30.79 | & ~ hBOOL(v15)))))
% 224.01/30.79 |
% 224.01/30.79 | ALPHA: (fact_358_the__elem__eq) implies:
% 224.01/30.80 | (15) ! [v0: $i] : ! [v1: $i] : ( ~
% 224.01/30.80 | (hAPP_H1902130436e_bool(insert1744391420_state, v0) = v1) | ~
% 224.01/30.80 | $i(v0) | ? [v2: $i] :
% 224.01/30.80 | (hAPP_f718417177_state(the_el2080696983_state, v2) = v0 &
% 224.01/30.80 | hAPP_f806699093e_bool(v1, bot_bo784226126e_bool) = v2 & $i(v2)))
% 224.01/30.80 |
% 224.01/30.80 | ALPHA: (fact_371_nonempty__iff) implies:
% 224.01/30.80 | (16) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 224.01/30.80 | (hAPP_H2039996199l_bool(member1667945571_state, v0) = v2) | ~
% 224.01/30.80 | (hAPP_f1378282496l_bool(v2, v1) = v3) | ~ $i(v1) | ~ $i(v0) |
% 224.01/30.80 | hBOOL(v3) | ? [v4: $i] : ? [v5: $i] : ( ~ (v5 =
% 224.01/30.80 | bot_bo784226126e_bool) &
% 224.01/30.80 | hAPP_H1902130436e_bool(insert1744391420_state, v0) = v4 &
% 224.01/30.80 | hAPP_f806699093e_bool(v4, v1) = v5 & $i(v5) & $i(v4)))
% 224.01/30.80 |
% 224.01/30.80 | ALPHA: (fact_464_hoare__derivs_OBody) implies:
% 224.01/30.80 | (17) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 224.01/30.80 | (cOMBB_2084106034_pname(hoare_1191504582_state) = v0 &
% 224.01/30.80 | cOMBB_923936821_pname(the_com) = v1 & hAPP_f96342628me_com(v1, body)
% 224.01/30.80 | = v2 & $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : !
% 224.01/30.80 | [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] :
% 224.01/30.80 | ! [v10: $i] : ! [v11: $i] : ! [v12: $i] : ! [v13: $i] : ! [v14:
% 224.01/30.80 | $i] : ! [v15: $i] : ! [v16: $i] : ! [v17: $i] : ! [v18: $i] :
% 224.01/30.80 | ! [v19: $i] : ! [v20: $i] : ! [v21: $i] : ! [v22: $i] : ( ~
% 224.01/30.80 | (hAPP_f804744487_state(v0, v4) = v8) | ~
% 224.01/30.80 | (hAPP_f1922754332_state(cOMBS_1020065803_state, v8) = v9) | ~
% 224.01/30.80 | (hAPP_f460309545_state(v9, v2) = v17) | ~
% 224.01/30.80 | (hAPP_f460309545_state(v9, body_1) = v10) | ~
% 224.01/30.80 | (hAPP_f1811131990_state(cOMBS_1524960158_state, v17) = v18) | ~
% 224.01/30.80 | (hAPP_f1811131990_state(cOMBS_1524960158_state, v10) = v11) | ~
% 224.01/30.80 | (hAPP_f914896950_state(v18, v5) = v19) | ~
% 224.01/30.80 | (hAPP_f914896950_state(v11, v5) = v12) | ~
% 224.01/30.80 | (hAPP_f1794460506e_bool(semila176469292e_bool, v3) = v7) | ~
% 224.01/30.80 | (image_185131637_state(v19) = v20) | ~
% 224.01/30.80 | (image_185131637_state(v12) = v13) | ~
% 224.01/30.80 | (hAPP_f360545851e_bool(v20, v6) = v21) | ~
% 224.01/30.80 | (hAPP_f360545851e_bool(v13, v6) = v14) | ~
% 224.01/30.80 | (hAPP_f806699093e_bool(v7, v14) = v15) | ~
% 224.01/30.80 | (hoare_512830354_state(v15) = v16) | ~
% 224.01/30.80 | (hAPP_f1378282496l_bool(v16, v21) = v22) | ~ $i(v6) | ~ $i(v5) |
% 224.01/30.80 | ~ $i(v4) | ~ $i(v3) | ~ hBOOL(v22) | ? [v23: $i] : ? [v24:
% 224.01/30.80 | $i] : (hoare_512830354_state(v3) = v23 &
% 224.01/30.80 | hAPP_f1378282496l_bool(v23, v14) = v24 & $i(v24) & $i(v23) &
% 224.01/30.80 | hBOOL(v24))))
% 224.01/30.80 |
% 224.01/30.80 | ALPHA: (fact_502_Body1) implies:
% 224.01/30.80 | (18) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 224.01/30.80 | (cOMBB_2084106034_pname(hoare_1191504582_state) = v0 &
% 224.01/30.80 | cOMBB_923936821_pname(the_com) = v1 & hAPP_f96342628me_com(v1, body)
% 224.01/30.80 | = v2 & $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : !
% 224.01/30.80 | [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] :
% 224.01/30.80 | ! [v10: $i] : ! [v11: $i] : ! [v12: $i] : ! [v13: $i] : ! [v14:
% 224.01/30.80 | $i] : ! [v15: $i] : ! [v16: $i] : ! [v17: $i] : ! [v18: $i] :
% 224.01/30.80 | ! [v19: $i] : ! [v20: $i] : ! [v21: $i] : ! [v22: $i] : ! [v23:
% 224.01/30.80 | $i] : ! [v24: $i] : ! [v25: $i] : ! [v26: $i] : ! [v27: $i] :
% 224.01/30.80 | ! [v28: $i] : ! [v29: $i] : ! [v30: $i] : ! [v31: $i] : ! [v32:
% 224.01/30.80 | $i] : ! [v33: $i] : ( ~ (hAPP_p1637813682e_bool(v6, v3) = v29) |
% 224.01/30.80 | ~ (hAPP_p1637813682e_bool(v5, v3) = v25) | ~
% 224.01/30.80 | (hAPP_f804744487_state(v0, v5) = v9) | ~
% 224.01/30.80 | (hAPP_f1922754332_state(cOMBS_1020065803_state, v9) = v10) | ~
% 224.01/30.80 | (hAPP_f460309545_state(v10, v2) = v18) | ~
% 224.01/30.80 | (hAPP_f460309545_state(v10, body_1) = v11) | ~
% 224.01/30.80 | (hAPP_f1811131990_state(cOMBS_1524960158_state, v18) = v19) | ~
% 224.01/30.80 | (hAPP_f1811131990_state(cOMBS_1524960158_state, v11) = v12) | ~
% 224.01/30.80 | (hAPP_f914896950_state(v19, v6) = v20) | ~
% 224.01/30.80 | (hAPP_f914896950_state(v12, v6) = v13) | ~
% 224.01/30.80 | (hAPP_f274181323_state(hoare_1191504582_state, v25) = v26) | ~
% 224.01/30.80 | (hAPP_c27135337_state(v26, v27) = v28) | ~
% 224.01/30.80 | (hAPP_f497755132_state(v28, v29) = v30) | ~
% 224.01/30.80 | (hAPP_f1794460506e_bool(semila176469292e_bool, v4) = v8) | ~
% 224.01/30.80 | (image_185131637_state(v20) = v21) | ~
% 224.01/30.80 | (image_185131637_state(v13) = v14) | ~
% 224.01/30.80 | (hAPP_f360545851e_bool(v21, v7) = v22) | ~
% 224.01/30.80 | (hAPP_f360545851e_bool(v14, v7) = v15) | ~
% 224.01/30.80 | (hAPP_pname_com(body_1, v3) = v27) | ~
% 224.01/30.80 | (hAPP_H1902130436e_bool(insert1744391420_state, v30) = v31) | ~
% 224.01/30.80 | (hAPP_f806699093e_bool(v31, bot_bo784226126e_bool) = v32) | ~
% 224.01/30.80 | (hAPP_f806699093e_bool(v8, v15) = v16) | ~
% 224.01/30.80 | (hoare_512830354_state(v16) = v17) | ~ (hoare_512830354_state(v4)
% 224.01/30.80 | = v24) | ~ (hAPP_f1378282496l_bool(v24, v32) = v33) | ~
% 224.01/30.80 | (hAPP_f1378282496l_bool(v17, v22) = v23) | ~ $i(v7) | ~ $i(v6) |
% 224.01/30.80 | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ hBOOL(v23) | hBOOL(v33) |
% 224.01/30.80 | ? [v34: $i] : ? [v35: $i] : (hAPP_f1664156314l_bool(v34, v7) =
% 224.01/30.80 | v35 & hAPP_p338031245l_bool(member_pname, v3) = v34 & $i(v35) &
% 224.01/30.80 | $i(v34) & ~ hBOOL(v35))))
% 224.01/30.80 |
% 224.01/30.80 | ALPHA: (fact_531_Body__sound__lemma) implies:
% 224.01/30.80 | (19) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 224.01/30.80 | (cOMBB_2084106034_pname(hoare_1191504582_state) = v0 &
% 224.01/30.80 | cOMBB_923936821_pname(the_com) = v1 & hAPP_f96342628me_com(v1, body)
% 224.01/30.80 | = v2 & $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : !
% 224.01/30.80 | [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] :
% 224.01/30.80 | ! [v10: $i] : ! [v11: $i] : ! [v12: $i] : ! [v13: $i] : ! [v14:
% 224.01/30.80 | $i] : ! [v15: $i] : ! [v16: $i] : ! [v17: $i] : ! [v18: $i] :
% 224.01/30.80 | ! [v19: $i] : ! [v20: $i] : ! [v21: $i] : ! [v22: $i] : ( ~
% 224.01/30.80 | (hoare_919241616_state(v15) = v16) | ~ (hAPP_f804744487_state(v0,
% 224.01/30.80 | v4) = v8) | ~ (hAPP_f1922754332_state(cOMBS_1020065803_state,
% 224.01/30.80 | v8) = v9) | ~ (hAPP_f460309545_state(v9, v2) = v17) | ~
% 224.01/30.80 | (hAPP_f460309545_state(v9, body_1) = v10) | ~
% 224.01/30.80 | (hAPP_f1811131990_state(cOMBS_1524960158_state, v17) = v18) | ~
% 224.01/30.80 | (hAPP_f1811131990_state(cOMBS_1524960158_state, v10) = v11) | ~
% 224.01/30.80 | (hAPP_f914896950_state(v18, v5) = v19) | ~
% 224.01/30.80 | (hAPP_f914896950_state(v11, v5) = v12) | ~
% 224.01/30.80 | (hAPP_f1794460506e_bool(semila176469292e_bool, v3) = v7) | ~
% 224.01/30.80 | (image_185131637_state(v19) = v20) | ~
% 224.01/30.80 | (image_185131637_state(v12) = v13) | ~
% 224.01/30.80 | (hAPP_f360545851e_bool(v20, v6) = v21) | ~
% 224.01/30.80 | (hAPP_f360545851e_bool(v13, v6) = v14) | ~
% 224.01/30.80 | (hAPP_f806699093e_bool(v7, v14) = v15) | ~
% 224.01/30.80 | (hAPP_f1378282496l_bool(v16, v21) = v22) | ~ $i(v6) | ~ $i(v5) |
% 224.01/30.80 | ~ $i(v4) | ~ $i(v3) | ~ hBOOL(v22) | ? [v23: $i] : ? [v24:
% 224.01/30.80 | $i] : (hoare_919241616_state(v3) = v23 &
% 224.01/30.80 | hAPP_f1378282496l_bool(v23, v14) = v24 & $i(v24) & $i(v23) &
% 224.01/30.80 | hBOOL(v24))))
% 224.01/30.80 |
% 224.01/30.80 | ALPHA: (fact_534_MGF__complete) implies:
% 224.01/30.80 | (20) ? [v0: $i] : ? [v1: $i] :
% 224.01/30.80 | (hoare_919241616_state(bot_bo784226126e_bool) = v1 &
% 224.01/30.80 | hoare_512830354_state(bot_bo784226126e_bool) = v0 & $i(v1) & $i(v0)
% 224.01/30.80 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 224.01/30.80 | $i] : ! [v7: $i] : ( ~
% 224.01/30.80 | (hAPP_f274181323_state(hoare_1191504582_state, v2) = v5) | ~
% 224.01/30.80 | (hAPP_c27135337_state(v5, v4) = v6) | ~
% 224.01/30.80 | (hAPP_f497755132_state(v6, v3) = v7) | ~ $i(v4) | ~ $i(v3) | ~
% 224.01/30.80 | $i(v2) | ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] :
% 224.01/30.80 | ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15: $i] :
% 224.01/30.80 | ((hAPP_c1455475371_state(hoare_Mirabelle_MGT, v4) = v8 &
% 224.01/30.80 | hAPP_H1902130436e_bool(insert1744391420_state, v8) = v9 &
% 224.01/30.80 | hAPP_f806699093e_bool(v9, bot_bo784226126e_bool) = v10 &
% 224.01/30.80 | hAPP_f1378282496l_bool(v0, v10) = v11 & $i(v11) & $i(v10) &
% 224.01/30.80 | $i(v9) & $i(v8) & ~ hBOOL(v11)) |
% 224.01/30.80 | (hAPP_H1902130436e_bool(insert1744391420_state, v7) = v12 &
% 224.01/30.80 | hAPP_f806699093e_bool(v12, bot_bo784226126e_bool) = v13 &
% 224.01/30.80 | hAPP_f1378282496l_bool(v1, v13) = v14 & $i(v14) & $i(v13) &
% 224.01/30.80 | $i(v12) & ~ hBOOL(v14)) |
% 224.01/30.80 | (hAPP_H1902130436e_bool(insert1744391420_state, v7) = v12 &
% 224.01/30.80 | hAPP_f806699093e_bool(v12, bot_bo784226126e_bool) = v13 &
% 224.01/30.80 | hAPP_f1378282496l_bool(v0, v13) = v15 & $i(v15) & $i(v13) &
% 224.01/30.80 | $i(v12) & hBOOL(v15)))))
% 224.01/30.80 |
% 224.01/30.80 | ALPHA: (fact_629_le__iff__sup) implies:
% 224.01/30.81 | (21) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 224.01/30.81 | (hAPP_f434788991l_bool(ord_le313189616e_bool, v0) = v2) | ~
% 224.01/30.81 | (hAPP_f1664156314l_bool(v2, v1) = v3) | ~ $i(v1) | ~ $i(v0) | ~
% 224.01/30.81 | is_fun_pname_bool(v1) | ? [v4: $i] : ? [v5: $i] : (( ~ hBOOL(v3) |
% 224.01/30.81 | (v5 = v1 & hAPP_f1388330588e_bool(semila278973382e_bool, v0) =
% 224.01/30.81 | v4 & hAPP_f759274231e_bool(v4, v1) = v1 & $i(v4))) &
% 224.01/30.81 | (hBOOL(v3) | ( ~ (v5 = v1) &
% 224.01/30.81 | hAPP_f1388330588e_bool(semila278973382e_bool, v0) = v4 &
% 224.01/30.81 | hAPP_f759274231e_bool(v4, v1) = v5 & $i(v5) & $i(v4)))))
% 224.01/30.81 |
% 224.01/30.81 | ALPHA: (conj_0) implies:
% 224.01/30.81 | (22) hBOOL(hoare_1795711768gleton)
% 224.01/30.81 |
% 224.01/30.81 | ALPHA: (conj_1) implies:
% 224.01/30.81 | (23) hBOOL(wT_bodies)
% 224.01/30.81 |
% 224.01/30.81 | ALPHA: (conj_2) implies:
% 224.01/30.81 | (24) ? [v0: $i] : (hAPP_f1378282496l_bool(finite694102371_state, fa) = v0
% 224.01/30.81 | & $i(v0) & hBOOL(v0))
% 224.01/30.81 |
% 224.01/30.81 | ALPHA: (conj_3) implies:
% 224.01/30.81 | (25) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 224.01/30.81 | (hAPP_H2039996199l_bool(member1667945571_state, v0) = v1 &
% 224.01/30.81 | hAPP_c1455475371_state(hoare_Mirabelle_MGT, y) = v0 &
% 224.01/30.81 | hAPP_f1378282496l_bool(v1, fa) = v2 & $i(v2) & $i(v1) & $i(v0) & ~
% 224.01/30.81 | hBOOL(v2))
% 224.01/30.81 |
% 224.01/30.81 | ALPHA: (conj_4) implies:
% 224.01/30.81 | (26) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 224.01/30.81 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 224.01/30.81 | (cOMBB_271860050_pname(hoare_Mirabelle_MGT) = v1 &
% 224.01/30.81 | cOMBB_923936821_pname(the_com) = v2 & hAPP_f96342628me_com(v2, body)
% 224.01/30.81 | = v3 & hAPP_f1377420673_state(v1, v3) = v4 &
% 224.01/30.81 | image_185131637_state(v4) = v5 & hAPP_f360545851e_bool(v5, v6) = v7
% 224.01/30.81 | & hAPP_f849457489l_bool(ord_le1449778818e_bool, fa) = v0 &
% 224.01/30.81 | hAPP_f1378282496l_bool(v0, v7) = v8 & dom_pname_com(body) = v6 &
% 224.01/30.81 | $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 224.01/30.81 | $i(v1) & $i(v0) & hBOOL(v8))
% 224.01/30.81 |
% 224.01/30.81 | ALPHA: (conj_5) implies:
% 224.01/30.81 | (27) $i(pn)
% 224.01/30.81 | (28) ? [v0: $i] : (hAPP_com_option_com(some_com, y) = v0 &
% 224.01/30.81 | hAPP_p799580910on_com(body, pn) = v0 & $i(v0))
% 224.01/30.81 |
% 224.01/30.81 | ALPHA: (conj_6) implies:
% 224.01/30.81 | (29) $i(fa)
% 224.01/30.81 | (30) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 224.01/30.81 | ? [v5: $i] : ? [v6: $i] : (cOMBB_271860050_pname(hoare_Mirabelle_MGT)
% 224.01/30.81 | = v0 & hAPP_f1377420673_state(v0, body_1) = v1 &
% 224.01/30.81 | image_185131637_state(v1) = v2 & hAPP_f360545851e_bool(v2, v3) = v4
% 224.01/30.81 | & hoare_512830354_state(v4) = v5 & hAPP_f1378282496l_bool(v5, fa) =
% 224.01/30.81 | v6 & dom_pname_com(body) = v3 & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 224.01/30.81 | $i(v2) & $i(v1) & $i(v0) & hBOOL(v6))
% 224.01/30.81 |
% 224.01/30.81 | ALPHA: (conj_7) implies:
% 224.01/30.81 | (31) $i(body)
% 224.01/30.81 | (32) $i(y)
% 224.01/30.81 | (33) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 224.01/30.81 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 224.01/30.81 | (cOMBB_271860050_pname(hoare_Mirabelle_MGT) = v0 &
% 224.01/30.81 | hAPP_f1377420673_state(v0, body_1) = v1 & image_185131637_state(v1)
% 224.01/30.81 | = v2 & hAPP_f360545851e_bool(v2, v3) = v4 &
% 224.01/30.81 | hAPP_c1455475371_state(hoare_Mirabelle_MGT, y) = v6 &
% 224.01/30.81 | hAPP_H1902130436e_bool(insert1744391420_state, v6) = v7 &
% 224.01/30.81 | hAPP_f806699093e_bool(v7, bot_bo784226126e_bool) = v8 &
% 224.01/30.81 | hoare_512830354_state(v4) = v5 & hAPP_f1378282496l_bool(v5, v8) = v9
% 224.01/30.81 | & dom_pname_com(body) = v3 & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 224.01/30.81 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ~ hBOOL(v9))
% 224.01/30.81 |
% 224.01/30.81 | ALPHA: (function-axioms) implies:
% 224.01/30.81 | (34) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.81 | (dom_pname_com(v2) = v1) | ~ (dom_pname_com(v2) = v0))
% 224.01/30.81 | (35) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.81 | (hoare_512830354_state(v2) = v1) | ~ (hoare_512830354_state(v2) =
% 224.01/30.81 | v0))
% 224.01/30.81 | (36) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.81 | (image_185131637_state(v2) = v1) | ~ (image_185131637_state(v2) =
% 224.01/30.81 | v0))
% 224.01/30.81 | (37) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.81 | (cOMBB_923936821_pname(v2) = v1) | ~ (cOMBB_923936821_pname(v2) =
% 224.01/30.81 | v0))
% 224.01/30.81 | (38) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 224.01/30.81 | (cOMBB_271860050_pname(v2) = v1) | ~ (cOMBB_271860050_pname(v2) =
% 224.01/30.81 | v0))
% 224.01/30.81 | (39) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 224.01/30.81 | (hAPP_com_bool(v3, v2) = v1) | ~ (hAPP_com_bool(v3, v2) = v0))
% 224.01/30.81 | (40) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 224.01/30.81 | (hAPP_f1378282496l_bool(v3, v2) = v1) | ~
% 224.01/30.81 | (hAPP_f1378282496l_bool(v3, v2) = v0))
% 224.01/30.81 | (41) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 224.01/30.81 | (hAPP_f806699093e_bool(v3, v2) = v1) | ~ (hAPP_f806699093e_bool(v3,
% 224.01/30.81 | v2) = v0))
% 224.01/30.81 | (42) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 224.01/30.81 | (hAPP_H1902130436e_bool(v3, v2) = v1) | ~
% 224.01/30.81 | (hAPP_H1902130436e_bool(v3, v2) = v0))
% 224.01/30.81 | (43) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 224.01/30.81 | (hAPP_c1455475371_state(v3, v2) = v1) | ~
% 224.01/30.81 | (hAPP_c1455475371_state(v3, v2) = v0))
% 224.01/30.82 | (44) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 224.01/30.82 | (hAPP_f360545851e_bool(v3, v2) = v1) | ~ (hAPP_f360545851e_bool(v3,
% 224.01/30.82 | v2) = v0))
% 224.01/30.82 | (45) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 224.01/30.82 | (hAPP_f1377420673_state(v3, v2) = v1) | ~
% 224.01/30.82 | (hAPP_f1377420673_state(v3, v2) = v0))
% 224.01/30.82 | (46) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 224.01/30.82 | (hAPP_f96342628me_com(v3, v2) = v1) | ~ (hAPP_f96342628me_com(v3,
% 224.01/30.82 | v2) = v0))
% 224.01/30.82 |
% 224.01/30.82 | DELTA: instantiating (24) with fresh symbol all_1197_0 gives:
% 224.01/30.82 | (47) hAPP_f1378282496l_bool(finite694102371_state, fa) = all_1197_0 &
% 224.01/30.82 | $i(all_1197_0) & hBOOL(all_1197_0)
% 224.01/30.82 |
% 224.01/30.82 | ALPHA: (47) implies:
% 224.01/30.82 | (48) hBOOL(all_1197_0)
% 224.01/30.82 | (49) hAPP_f1378282496l_bool(finite694102371_state, fa) = all_1197_0
% 224.01/30.82 |
% 224.01/30.82 | DELTA: instantiating (28) with fresh symbol all_1217_0 gives:
% 224.01/30.82 | (50) hAPP_com_option_com(some_com, y) = all_1217_0 &
% 224.01/30.82 | hAPP_p799580910on_com(body, pn) = all_1217_0 & $i(all_1217_0)
% 224.01/30.82 |
% 224.01/30.82 | ALPHA: (50) implies:
% 224.01/30.82 | (51) hAPP_p799580910on_com(body, pn) = all_1217_0
% 224.01/30.82 | (52) hAPP_com_option_com(some_com, y) = all_1217_0
% 224.01/30.82 |
% 224.01/30.82 | DELTA: instantiating (6) with fresh symbol all_1223_0 gives:
% 224.01/30.82 | (53) hAPP_b974863576e_bool(cOMBK_988866959_state, fFalse) = all_1223_0 &
% 224.01/30.82 | hAPP_f806699093e_bool(collec637225377_state, all_1223_0) =
% 224.01/30.82 | bot_bo784226126e_bool & $i(all_1223_0)
% 224.01/30.82 |
% 224.01/30.82 | ALPHA: (53) implies:
% 224.01/30.82 | (54) $i(all_1223_0)
% 224.01/30.82 | (55) hAPP_f806699093e_bool(collec637225377_state, all_1223_0) =
% 224.01/30.82 | bot_bo784226126e_bool
% 224.01/30.82 |
% 224.01/30.82 | DELTA: instantiating (13) with fresh symbols all_1253_0, all_1253_1 gives:
% 224.01/30.82 | (56) hAPP_f1664156314l_bool(finite_finite_pname, all_1253_1) = all_1253_0 &
% 224.01/30.82 | dom_pname_com(body) = all_1253_1 & $i(all_1253_0) & $i(all_1253_1) &
% 224.01/30.82 | hBOOL(all_1253_0)
% 224.01/30.82 |
% 224.01/30.82 | ALPHA: (56) implies:
% 224.01/30.82 | (57) dom_pname_com(body) = all_1253_1
% 224.01/30.82 |
% 224.01/30.82 | DELTA: instantiating (25) with fresh symbols all_1332_0, all_1332_1,
% 224.01/30.82 | all_1332_2 gives:
% 224.01/30.82 | (58) hAPP_H2039996199l_bool(member1667945571_state, all_1332_2) =
% 224.01/30.82 | all_1332_1 & hAPP_c1455475371_state(hoare_Mirabelle_MGT, y) =
% 224.01/30.82 | all_1332_2 & hAPP_f1378282496l_bool(all_1332_1, fa) = all_1332_0 &
% 224.01/30.82 | $i(all_1332_0) & $i(all_1332_1) & $i(all_1332_2) & ~
% 224.01/30.82 | hBOOL(all_1332_0)
% 224.01/30.82 |
% 224.01/30.82 | ALPHA: (58) implies:
% 224.01/30.82 | (59) ~ hBOOL(all_1332_0)
% 224.01/30.82 | (60) hAPP_f1378282496l_bool(all_1332_1, fa) = all_1332_0
% 224.01/30.82 | (61) hAPP_c1455475371_state(hoare_Mirabelle_MGT, y) = all_1332_2
% 224.01/30.82 | (62) hAPP_H2039996199l_bool(member1667945571_state, all_1332_2) =
% 224.01/30.82 | all_1332_1
% 224.01/30.82 |
% 224.01/30.82 | DELTA: instantiating (30) with fresh symbols all_1443_0, all_1443_1,
% 224.01/30.82 | all_1443_2, all_1443_3, all_1443_4, all_1443_5, all_1443_6 gives:
% 224.01/30.82 | (63) cOMBB_271860050_pname(hoare_Mirabelle_MGT) = all_1443_6 &
% 224.01/30.82 | hAPP_f1377420673_state(all_1443_6, body_1) = all_1443_5 &
% 224.01/30.82 | image_185131637_state(all_1443_5) = all_1443_4 &
% 224.01/30.82 | hAPP_f360545851e_bool(all_1443_4, all_1443_3) = all_1443_2 &
% 224.01/30.82 | hoare_512830354_state(all_1443_2) = all_1443_1 &
% 224.01/30.82 | hAPP_f1378282496l_bool(all_1443_1, fa) = all_1443_0 &
% 224.01/30.82 | dom_pname_com(body) = all_1443_3 & $i(all_1443_0) & $i(all_1443_1) &
% 224.01/30.82 | $i(all_1443_2) & $i(all_1443_3) & $i(all_1443_4) & $i(all_1443_5) &
% 224.01/30.82 | $i(all_1443_6) & hBOOL(all_1443_0)
% 224.01/30.82 |
% 224.01/30.82 | ALPHA: (63) implies:
% 224.01/30.82 | (64) hBOOL(all_1443_0)
% 224.01/30.82 | (65) $i(all_1443_3)
% 224.01/30.82 | (66) dom_pname_com(body) = all_1443_3
% 224.01/30.82 | (67) hAPP_f1378282496l_bool(all_1443_1, fa) = all_1443_0
% 224.01/30.82 | (68) hoare_512830354_state(all_1443_2) = all_1443_1
% 224.01/30.82 | (69) hAPP_f360545851e_bool(all_1443_4, all_1443_3) = all_1443_2
% 224.01/30.82 | (70) image_185131637_state(all_1443_5) = all_1443_4
% 224.01/30.82 | (71) hAPP_f1377420673_state(all_1443_6, body_1) = all_1443_5
% 224.01/30.82 | (72) cOMBB_271860050_pname(hoare_Mirabelle_MGT) = all_1443_6
% 224.01/30.82 |
% 224.01/30.82 | DELTA: instantiating (5) with fresh symbol all_1454_0 gives:
% 224.01/30.82 | (73) hoare_512830354_state(bot_bo784226126e_bool) = all_1454_0 &
% 224.01/30.82 | $i(all_1454_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 224.01/30.82 | (hAPP_c1455475371_state(hoare_Mirabelle_MGT, v0) = v1) | ~ $i(v0) |
% 224.01/30.82 | ~ hBOOL(hoare_1795711768gleton) | ~ hBOOL(wT_bodies) | ? [v2: $i]
% 224.01/30.82 | : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 224.01/30.82 | ((hAPP_H1902130436e_bool(insert1744391420_state, v1) = v3 &
% 224.01/30.82 | hAPP_f806699093e_bool(v3, bot_bo784226126e_bool) = v4 &
% 224.01/30.82 | hAPP_f1378282496l_bool(all_1454_0, v4) = v5 & $i(v5) & $i(v4) &
% 224.01/30.82 | $i(v3) & hBOOL(v5)) | (hAPP_com_bool(wt, v0) = v2 & $i(v2) & ~
% 224.01/30.82 | hBOOL(v2))))
% 224.01/30.82 |
% 224.01/30.82 | ALPHA: (73) implies:
% 224.01/30.82 | (74) hoare_512830354_state(bot_bo784226126e_bool) = all_1454_0
% 224.01/30.82 | (75) ! [v0: $i] : ! [v1: $i] : ( ~
% 224.01/30.82 | (hAPP_c1455475371_state(hoare_Mirabelle_MGT, v0) = v1) | ~ $i(v0) |
% 224.01/30.82 | ~ hBOOL(hoare_1795711768gleton) | ~ hBOOL(wT_bodies) | ? [v2: $i]
% 224.01/30.82 | : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 224.01/30.82 | ((hAPP_H1902130436e_bool(insert1744391420_state, v1) = v3 &
% 224.01/30.82 | hAPP_f806699093e_bool(v3, bot_bo784226126e_bool) = v4 &
% 224.01/30.82 | hAPP_f1378282496l_bool(all_1454_0, v4) = v5 & $i(v5) & $i(v4) &
% 224.01/30.82 | $i(v3) & hBOOL(v5)) | (hAPP_com_bool(wt, v0) = v2 & $i(v2) & ~
% 224.01/30.82 | hBOOL(v2))))
% 224.01/30.82 |
% 224.01/30.82 | DELTA: instantiating (26) with fresh symbols all_1544_0, all_1544_1,
% 224.01/30.82 | all_1544_2, all_1544_3, all_1544_4, all_1544_5, all_1544_6, all_1544_7,
% 224.01/30.82 | all_1544_8 gives:
% 224.01/30.82 | (76) cOMBB_271860050_pname(hoare_Mirabelle_MGT) = all_1544_7 &
% 224.01/30.82 | cOMBB_923936821_pname(the_com) = all_1544_6 &
% 224.01/30.82 | hAPP_f96342628me_com(all_1544_6, body) = all_1544_5 &
% 224.01/30.82 | hAPP_f1377420673_state(all_1544_7, all_1544_5) = all_1544_4 &
% 224.01/30.82 | image_185131637_state(all_1544_4) = all_1544_3 &
% 224.01/30.82 | hAPP_f360545851e_bool(all_1544_3, all_1544_2) = all_1544_1 &
% 224.01/30.82 | hAPP_f849457489l_bool(ord_le1449778818e_bool, fa) = all_1544_8 &
% 224.01/30.82 | hAPP_f1378282496l_bool(all_1544_8, all_1544_1) = all_1544_0 &
% 224.01/30.82 | dom_pname_com(body) = all_1544_2 & $i(all_1544_0) & $i(all_1544_1) &
% 224.01/30.82 | $i(all_1544_2) & $i(all_1544_3) & $i(all_1544_4) & $i(all_1544_5) &
% 224.01/30.82 | $i(all_1544_6) & $i(all_1544_7) & $i(all_1544_8) & hBOOL(all_1544_0)
% 224.01/30.82 |
% 224.01/30.82 | ALPHA: (76) implies:
% 224.01/30.82 | (77) hBOOL(all_1544_0)
% 224.01/30.82 | (78) dom_pname_com(body) = all_1544_2
% 224.01/30.82 | (79) hAPP_f1378282496l_bool(all_1544_8, all_1544_1) = all_1544_0
% 224.01/30.82 | (80) hAPP_f849457489l_bool(ord_le1449778818e_bool, fa) = all_1544_8
% 224.01/30.82 | (81) hAPP_f360545851e_bool(all_1544_3, all_1544_2) = all_1544_1
% 224.01/30.82 | (82) image_185131637_state(all_1544_4) = all_1544_3
% 224.01/30.82 | (83) hAPP_f1377420673_state(all_1544_7, all_1544_5) = all_1544_4
% 224.01/30.82 | (84) hAPP_f96342628me_com(all_1544_6, body) = all_1544_5
% 224.01/30.82 | (85) cOMBB_923936821_pname(the_com) = all_1544_6
% 224.01/30.82 | (86) cOMBB_271860050_pname(hoare_Mirabelle_MGT) = all_1544_7
% 224.01/30.82 |
% 224.01/30.82 | DELTA: instantiating (33) with fresh symbols all_1601_0, all_1601_1,
% 224.01/30.82 | all_1601_2, all_1601_3, all_1601_4, all_1601_5, all_1601_6, all_1601_7,
% 224.01/30.82 | all_1601_8, all_1601_9 gives:
% 224.01/30.82 | (87) cOMBB_271860050_pname(hoare_Mirabelle_MGT) = all_1601_9 &
% 224.01/30.82 | hAPP_f1377420673_state(all_1601_9, body_1) = all_1601_8 &
% 224.01/30.82 | image_185131637_state(all_1601_8) = all_1601_7 &
% 224.01/30.82 | hAPP_f360545851e_bool(all_1601_7, all_1601_6) = all_1601_5 &
% 224.01/30.82 | hAPP_c1455475371_state(hoare_Mirabelle_MGT, y) = all_1601_3 &
% 224.01/30.82 | hAPP_H1902130436e_bool(insert1744391420_state, all_1601_3) =
% 224.01/30.82 | all_1601_2 & hAPP_f806699093e_bool(all_1601_2, bot_bo784226126e_bool)
% 224.01/30.82 | = all_1601_1 & hoare_512830354_state(all_1601_5) = all_1601_4 &
% 224.01/30.82 | hAPP_f1378282496l_bool(all_1601_4, all_1601_1) = all_1601_0 &
% 224.01/30.82 | dom_pname_com(body) = all_1601_6 & $i(all_1601_0) & $i(all_1601_1) &
% 224.01/30.82 | $i(all_1601_2) & $i(all_1601_3) & $i(all_1601_4) & $i(all_1601_5) &
% 224.01/30.82 | $i(all_1601_6) & $i(all_1601_7) & $i(all_1601_8) & $i(all_1601_9) & ~
% 224.01/30.82 | hBOOL(all_1601_0)
% 224.01/30.82 |
% 224.01/30.82 | ALPHA: (87) implies:
% 224.01/30.82 | (88) ~ hBOOL(all_1601_0)
% 224.01/30.82 | (89) $i(all_1601_5)
% 224.01/30.82 | (90) $i(all_1601_3)
% 224.01/30.82 | (91) $i(all_1601_1)
% 224.01/30.82 | (92) dom_pname_com(body) = all_1601_6
% 224.01/30.82 | (93) hAPP_f1378282496l_bool(all_1601_4, all_1601_1) = all_1601_0
% 224.01/30.82 | (94) hoare_512830354_state(all_1601_5) = all_1601_4
% 224.01/30.82 | (95) hAPP_f806699093e_bool(all_1601_2, bot_bo784226126e_bool) = all_1601_1
% 224.01/30.82 | (96) hAPP_H1902130436e_bool(insert1744391420_state, all_1601_3) =
% 224.01/30.82 | all_1601_2
% 224.01/30.82 | (97) hAPP_c1455475371_state(hoare_Mirabelle_MGT, y) = all_1601_3
% 224.01/30.82 | (98) hAPP_f360545851e_bool(all_1601_7, all_1601_6) = all_1601_5
% 224.01/30.82 | (99) image_185131637_state(all_1601_8) = all_1601_7
% 224.01/30.82 | (100) hAPP_f1377420673_state(all_1601_9, body_1) = all_1601_8
% 224.01/30.82 | (101) cOMBB_271860050_pname(hoare_Mirabelle_MGT) = all_1601_9
% 224.01/30.82 |
% 224.01/30.82 | DELTA: instantiating (14) with fresh symbols all_1727_0, all_1727_1,
% 224.01/30.82 | all_1727_2, all_1727_3, all_1727_4, all_1727_5, all_1727_6 gives:
% 224.01/30.83 | (102) cOMBB_271860050_pname(hoare_Mirabelle_MGT) = all_1727_6 &
% 224.01/30.83 | cOMBB_923936821_pname(the_com) = all_1727_3 &
% 224.01/30.83 | hAPP_f96342628me_com(all_1727_3, body) = all_1727_2 &
% 224.01/30.83 | hAPP_f1377420673_state(all_1727_6, all_1727_2) = all_1727_1 &
% 224.01/30.83 | hAPP_f1377420673_state(all_1727_6, body_1) = all_1727_5 &
% 224.01/30.83 | image_185131637_state(all_1727_1) = all_1727_0 &
% 224.01/30.83 | image_185131637_state(all_1727_5) = all_1727_4 & $i(all_1727_0) &
% 224.01/30.83 | $i(all_1727_1) & $i(all_1727_2) & $i(all_1727_3) & $i(all_1727_4) &
% 224.01/30.83 | $i(all_1727_5) & $i(all_1727_6) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.83 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 224.01/30.83 | [v7: $i] : ( ~ (hAPP_f1794460506e_bool(semila176469292e_bool, v0) =
% 224.01/30.83 | v2) | ~ (hAPP_f360545851e_bool(all_1727_0, v1) = v6) | ~
% 224.01/30.83 | (hAPP_f360545851e_bool(all_1727_4, v1) = v3) | ~
% 224.01/30.83 | (hAPP_f806699093e_bool(v2, v3) = v4) | ~
% 224.01/30.83 | (hoare_512830354_state(v4) = v5) | ~ (hAPP_f1378282496l_bool(v5,
% 224.01/30.83 | v6) = v7) | ~ $i(v1) | ~ $i(v0) | ~ hBOOL(v7) | ? [v8: $i]
% 224.01/30.83 | : ? [v9: $i] : ? [v10: $i] : ((hoare_512830354_state(v0) = v9 &
% 224.01/30.83 | hAPP_f1378282496l_bool(v9, v3) = v10 & $i(v10) & $i(v9) &
% 224.01/30.83 | hBOOL(v10)) | (hAPP_f1664156314l_bool(finite_finite_pname, v1)
% 224.01/30.83 | = v8 & $i(v8) & ~ hBOOL(v8))))
% 224.01/30.83 |
% 224.01/30.83 | ALPHA: (102) implies:
% 224.01/30.83 | (103) $i(all_1727_1)
% 224.01/30.83 | (104) image_185131637_state(all_1727_5) = all_1727_4
% 224.01/30.83 | (105) image_185131637_state(all_1727_1) = all_1727_0
% 224.01/30.83 | (106) hAPP_f1377420673_state(all_1727_6, body_1) = all_1727_5
% 224.01/30.83 | (107) hAPP_f1377420673_state(all_1727_6, all_1727_2) = all_1727_1
% 224.01/30.83 | (108) hAPP_f96342628me_com(all_1727_3, body) = all_1727_2
% 224.01/30.83 | (109) cOMBB_923936821_pname(the_com) = all_1727_3
% 224.01/30.83 | (110) cOMBB_271860050_pname(hoare_Mirabelle_MGT) = all_1727_6
% 224.01/30.83 |
% 224.01/30.83 | DELTA: instantiating (10) with fresh symbol all_1730_0 gives:
% 224.01/30.83 | (111) dom_pname_com(body) = all_1730_0 & $i(all_1730_0) & ! [v0: $i] : !
% 224.01/30.83 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 224.01/30.83 | [v6: $i] : ( ~ (hAPP_c1455475371_state(hoare_Mirabelle_MGT, v0) = v3)
% 224.01/30.83 | | ~ (hAPP_H1902130436e_bool(insert1744391420_state, v3) = v4) | ~
% 224.01/30.83 | (hAPP_f806699093e_bool(v4, bot_bo784226126e_bool) = v5) | ~
% 224.01/30.83 | (hoare_512830354_state(v1) = v2) | ~ (hAPP_f1378282496l_bool(v2,
% 224.01/30.83 | v5) = v6) | ~ $i(v1) | ~ $i(v0) | ~
% 224.01/30.83 | hBOOL(hoare_1795711768gleton) | hBOOL(v6) | ? [v7: $i] : ? [v8:
% 224.01/30.83 | $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] :
% 224.01/30.83 | ? [v13: $i] : ? [v14: $i] : ? [v15: $i] : ($i(v8) &
% 224.01/30.83 | ((hAPP_pname_com(body_1, v8) = v11 &
% 224.01/30.83 | hAPP_c1455475371_state(hoare_Mirabelle_MGT, v11) = v12 &
% 224.01/30.83 | hAPP_H1902130436e_bool(insert1744391420_state, v12) = v13 &
% 224.01/30.83 | hAPP_f806699093e_bool(v13, bot_bo784226126e_bool) = v14 &
% 224.01/30.83 | hAPP_f1378282496l_bool(v2, v14) = v15 &
% 224.01/30.83 | hAPP_f1664156314l_bool(v9, all_1730_0) = v10 &
% 224.01/30.83 | hAPP_p338031245l_bool(member_pname, v8) = v9 & $i(v15) &
% 224.01/30.83 | $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 224.01/30.83 | hBOOL(v10) & is_pname(v8) & ~ hBOOL(v15)) |
% 224.01/30.83 | (hAPP_com_bool(wt, v0) = v7 & $i(v7) & ~ hBOOL(v7)))))
% 224.01/30.83 |
% 224.01/30.83 | ALPHA: (111) implies:
% 224.01/30.83 | (112) dom_pname_com(body) = all_1730_0
% 224.01/30.83 | (113) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 224.01/30.83 | ! [v5: $i] : ! [v6: $i] : ( ~
% 224.01/30.83 | (hAPP_c1455475371_state(hoare_Mirabelle_MGT, v0) = v3) | ~
% 224.01/30.83 | (hAPP_H1902130436e_bool(insert1744391420_state, v3) = v4) | ~
% 224.01/30.83 | (hAPP_f806699093e_bool(v4, bot_bo784226126e_bool) = v5) | ~
% 224.01/30.83 | (hoare_512830354_state(v1) = v2) | ~ (hAPP_f1378282496l_bool(v2,
% 224.01/30.83 | v5) = v6) | ~ $i(v1) | ~ $i(v0) | ~
% 224.01/30.83 | hBOOL(hoare_1795711768gleton) | hBOOL(v6) | ? [v7: $i] : ? [v8:
% 224.01/30.83 | $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] :
% 224.01/30.83 | ? [v13: $i] : ? [v14: $i] : ? [v15: $i] : ($i(v8) &
% 224.01/30.83 | ((hAPP_pname_com(body_1, v8) = v11 &
% 224.01/30.83 | hAPP_c1455475371_state(hoare_Mirabelle_MGT, v11) = v12 &
% 224.01/30.83 | hAPP_H1902130436e_bool(insert1744391420_state, v12) = v13 &
% 224.01/30.83 | hAPP_f806699093e_bool(v13, bot_bo784226126e_bool) = v14 &
% 224.01/30.83 | hAPP_f1378282496l_bool(v2, v14) = v15 &
% 224.01/30.83 | hAPP_f1664156314l_bool(v9, all_1730_0) = v10 &
% 224.01/30.83 | hAPP_p338031245l_bool(member_pname, v8) = v9 & $i(v15) &
% 224.01/30.83 | $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 224.01/30.83 | hBOOL(v10) & is_pname(v8) & ~ hBOOL(v15)) |
% 224.01/30.83 | (hAPP_com_bool(wt, v0) = v7 & $i(v7) & ~ hBOOL(v7)))))
% 224.01/30.83 |
% 224.01/30.83 | DELTA: instantiating (17) with fresh symbols all_1733_0, all_1733_1,
% 224.01/30.83 | all_1733_2 gives:
% 224.01/30.83 | (114) cOMBB_2084106034_pname(hoare_1191504582_state) = all_1733_2 &
% 224.01/30.83 | cOMBB_923936821_pname(the_com) = all_1733_1 &
% 224.01/30.83 | hAPP_f96342628me_com(all_1733_1, body) = all_1733_0 & $i(all_1733_0)
% 224.01/30.83 | & $i(all_1733_1) & $i(all_1733_2) & ! [v0: $i] : ! [v1: $i] : !
% 224.01/30.83 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 224.01/30.83 | [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] :
% 224.01/30.83 | ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ! [v15: $i] : ! [v16:
% 224.01/30.83 | $i] : ! [v17: $i] : ! [v18: $i] : ! [v19: $i] : ( ~
% 224.01/30.83 | (hAPP_f804744487_state(all_1733_2, v1) = v5) | ~
% 224.01/30.83 | (hAPP_f1922754332_state(cOMBS_1020065803_state, v5) = v6) | ~
% 224.01/30.83 | (hAPP_f460309545_state(v6, all_1733_0) = v14) | ~
% 224.01/30.83 | (hAPP_f460309545_state(v6, body_1) = v7) | ~
% 224.01/30.83 | (hAPP_f1811131990_state(cOMBS_1524960158_state, v14) = v15) | ~
% 224.01/30.83 | (hAPP_f1811131990_state(cOMBS_1524960158_state, v7) = v8) | ~
% 224.01/30.83 | (hAPP_f914896950_state(v15, v2) = v16) | ~
% 224.01/30.83 | (hAPP_f914896950_state(v8, v2) = v9) | ~
% 224.01/30.83 | (hAPP_f1794460506e_bool(semila176469292e_bool, v0) = v4) | ~
% 224.01/30.83 | (image_185131637_state(v16) = v17) | ~ (image_185131637_state(v9)
% 224.01/30.83 | = v10) | ~ (hAPP_f360545851e_bool(v17, v3) = v18) | ~
% 224.01/30.83 | (hAPP_f360545851e_bool(v10, v3) = v11) | ~
% 224.01/30.83 | (hAPP_f806699093e_bool(v4, v11) = v12) | ~
% 224.01/30.83 | (hoare_512830354_state(v12) = v13) | ~
% 224.01/30.83 | (hAPP_f1378282496l_bool(v13, v18) = v19) | ~ $i(v3) | ~ $i(v2) |
% 224.01/30.83 | ~ $i(v1) | ~ $i(v0) | ~ hBOOL(v19) | ? [v20: $i] : ? [v21: $i]
% 224.01/30.83 | : (hoare_512830354_state(v0) = v20 & hAPP_f1378282496l_bool(v20,
% 224.01/30.83 | v11) = v21 & $i(v21) & $i(v20) & hBOOL(v21)))
% 224.01/30.83 |
% 224.01/30.83 | ALPHA: (114) implies:
% 224.01/30.83 | (115) hAPP_f96342628me_com(all_1733_1, body) = all_1733_0
% 224.01/30.83 | (116) cOMBB_923936821_pname(the_com) = all_1733_1
% 224.01/30.83 |
% 224.01/30.83 | DELTA: instantiating (19) with fresh symbols all_1736_0, all_1736_1,
% 224.01/30.83 | all_1736_2 gives:
% 224.01/30.83 | (117) cOMBB_2084106034_pname(hoare_1191504582_state) = all_1736_2 &
% 224.01/30.83 | cOMBB_923936821_pname(the_com) = all_1736_1 &
% 224.01/30.83 | hAPP_f96342628me_com(all_1736_1, body) = all_1736_0 & $i(all_1736_0)
% 224.01/30.83 | & $i(all_1736_1) & $i(all_1736_2) & ! [v0: $i] : ! [v1: $i] : !
% 224.01/30.83 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 224.01/30.83 | [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] :
% 224.01/30.83 | ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ! [v15: $i] : ! [v16:
% 224.01/30.83 | $i] : ! [v17: $i] : ! [v18: $i] : ! [v19: $i] : ( ~
% 224.01/30.83 | (hoare_919241616_state(v12) = v13) | ~
% 224.01/30.83 | (hAPP_f804744487_state(all_1736_2, v1) = v5) | ~
% 224.01/30.83 | (hAPP_f1922754332_state(cOMBS_1020065803_state, v5) = v6) | ~
% 224.01/30.83 | (hAPP_f460309545_state(v6, all_1736_0) = v14) | ~
% 224.01/30.83 | (hAPP_f460309545_state(v6, body_1) = v7) | ~
% 224.01/30.83 | (hAPP_f1811131990_state(cOMBS_1524960158_state, v14) = v15) | ~
% 224.01/30.83 | (hAPP_f1811131990_state(cOMBS_1524960158_state, v7) = v8) | ~
% 224.01/30.83 | (hAPP_f914896950_state(v15, v2) = v16) | ~
% 224.01/30.83 | (hAPP_f914896950_state(v8, v2) = v9) | ~
% 224.01/30.83 | (hAPP_f1794460506e_bool(semila176469292e_bool, v0) = v4) | ~
% 224.01/30.83 | (image_185131637_state(v16) = v17) | ~ (image_185131637_state(v9)
% 224.01/30.83 | = v10) | ~ (hAPP_f360545851e_bool(v17, v3) = v18) | ~
% 224.01/30.83 | (hAPP_f360545851e_bool(v10, v3) = v11) | ~
% 224.01/30.83 | (hAPP_f806699093e_bool(v4, v11) = v12) | ~
% 224.01/30.83 | (hAPP_f1378282496l_bool(v13, v18) = v19) | ~ $i(v3) | ~ $i(v2) |
% 224.01/30.83 | ~ $i(v1) | ~ $i(v0) | ~ hBOOL(v19) | ? [v20: $i] : ? [v21: $i]
% 224.01/30.83 | : (hoare_919241616_state(v0) = v20 & hAPP_f1378282496l_bool(v20,
% 224.01/30.83 | v11) = v21 & $i(v21) & $i(v20) & hBOOL(v21)))
% 224.01/30.83 |
% 224.01/30.83 | ALPHA: (117) implies:
% 224.01/30.83 | (118) hAPP_f96342628me_com(all_1736_1, body) = all_1736_0
% 224.01/30.83 | (119) cOMBB_923936821_pname(the_com) = all_1736_1
% 224.01/30.83 |
% 224.01/30.83 | DELTA: instantiating (20) with fresh symbols all_1741_0, all_1741_1 gives:
% 224.01/30.83 | (120) hoare_919241616_state(bot_bo784226126e_bool) = all_1741_0 &
% 224.01/30.83 | hoare_512830354_state(bot_bo784226126e_bool) = all_1741_1 &
% 224.01/30.83 | $i(all_1741_0) & $i(all_1741_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 224.01/30.83 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 224.01/30.83 | (hAPP_f274181323_state(hoare_1191504582_state, v0) = v3) | ~
% 224.01/30.83 | (hAPP_c27135337_state(v3, v2) = v4) | ~ (hAPP_f497755132_state(v4,
% 224.01/30.83 | v1) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: $i] :
% 224.01/30.83 | ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11:
% 224.01/30.83 | $i] : ? [v12: $i] : ? [v13: $i] :
% 224.01/30.83 | ((hAPP_c1455475371_state(hoare_Mirabelle_MGT, v2) = v6 &
% 224.01/30.83 | hAPP_H1902130436e_bool(insert1744391420_state, v6) = v7 &
% 224.01/30.83 | hAPP_f806699093e_bool(v7, bot_bo784226126e_bool) = v8 &
% 224.01/30.83 | hAPP_f1378282496l_bool(all_1741_1, v8) = v9 & $i(v9) & $i(v8) &
% 224.01/30.83 | $i(v7) & $i(v6) & ~ hBOOL(v9)) |
% 224.01/30.83 | (hAPP_H1902130436e_bool(insert1744391420_state, v5) = v10 &
% 224.01/30.83 | hAPP_f806699093e_bool(v10, bot_bo784226126e_bool) = v11 &
% 224.01/30.83 | hAPP_f1378282496l_bool(all_1741_0, v11) = v12 & $i(v12) &
% 224.01/30.83 | $i(v11) & $i(v10) & ~ hBOOL(v12)) |
% 224.01/30.83 | (hAPP_H1902130436e_bool(insert1744391420_state, v5) = v10 &
% 224.01/30.83 | hAPP_f806699093e_bool(v10, bot_bo784226126e_bool) = v11 &
% 224.01/30.83 | hAPP_f1378282496l_bool(all_1741_1, v11) = v13 & $i(v13) &
% 224.01/30.83 | $i(v11) & $i(v10) & hBOOL(v13))))
% 224.01/30.83 |
% 224.01/30.83 | ALPHA: (120) implies:
% 224.01/30.83 | (121) hoare_512830354_state(bot_bo784226126e_bool) = all_1741_1
% 224.01/30.83 |
% 224.01/30.83 | DELTA: instantiating (18) with fresh symbols all_1827_0, all_1827_1,
% 224.01/30.83 | all_1827_2 gives:
% 224.01/30.83 | (122) cOMBB_2084106034_pname(hoare_1191504582_state) = all_1827_2 &
% 224.01/30.83 | cOMBB_923936821_pname(the_com) = all_1827_1 &
% 224.01/30.83 | hAPP_f96342628me_com(all_1827_1, body) = all_1827_0 & $i(all_1827_0)
% 224.01/30.83 | & $i(all_1827_1) & $i(all_1827_2) & ! [v0: $i] : ! [v1: $i] : !
% 224.01/30.83 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 224.01/30.83 | [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] :
% 224.01/30.83 | ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ! [v15: $i] : ! [v16:
% 224.01/30.83 | $i] : ! [v17: $i] : ! [v18: $i] : ! [v19: $i] : ! [v20: $i] :
% 224.01/30.83 | ! [v21: $i] : ! [v22: $i] : ! [v23: $i] : ! [v24: $i] : ! [v25:
% 224.01/30.83 | $i] : ! [v26: $i] : ! [v27: $i] : ! [v28: $i] : ! [v29: $i] :
% 224.01/30.83 | ! [v30: $i] : ( ~ (hAPP_p1637813682e_bool(v3, v0) = v26) | ~
% 224.01/30.83 | (hAPP_p1637813682e_bool(v2, v0) = v22) | ~
% 224.01/30.83 | (hAPP_f804744487_state(all_1827_2, v2) = v6) | ~
% 224.01/30.83 | (hAPP_f1922754332_state(cOMBS_1020065803_state, v6) = v7) | ~
% 224.01/30.83 | (hAPP_f460309545_state(v7, all_1827_0) = v15) | ~
% 224.01/30.83 | (hAPP_f460309545_state(v7, body_1) = v8) | ~
% 224.01/30.83 | (hAPP_f1811131990_state(cOMBS_1524960158_state, v15) = v16) | ~
% 224.01/30.83 | (hAPP_f1811131990_state(cOMBS_1524960158_state, v8) = v9) | ~
% 224.01/30.83 | (hAPP_f914896950_state(v16, v3) = v17) | ~
% 224.01/30.83 | (hAPP_f914896950_state(v9, v3) = v10) | ~
% 224.01/30.83 | (hAPP_f274181323_state(hoare_1191504582_state, v22) = v23) | ~
% 224.01/30.83 | (hAPP_c27135337_state(v23, v24) = v25) | ~
% 224.01/30.83 | (hAPP_f497755132_state(v25, v26) = v27) | ~
% 224.01/30.83 | (hAPP_f1794460506e_bool(semila176469292e_bool, v1) = v5) | ~
% 224.01/30.83 | (image_185131637_state(v17) = v18) | ~ (image_185131637_state(v10)
% 224.01/30.83 | = v11) | ~ (hAPP_f360545851e_bool(v18, v4) = v19) | ~
% 224.01/30.83 | (hAPP_f360545851e_bool(v11, v4) = v12) | ~ (hAPP_pname_com(body_1,
% 224.01/30.83 | v0) = v24) | ~ (hAPP_H1902130436e_bool(insert1744391420_state,
% 224.01/30.83 | v27) = v28) | ~ (hAPP_f806699093e_bool(v28,
% 224.01/30.83 | bot_bo784226126e_bool) = v29) | ~ (hAPP_f806699093e_bool(v5,
% 224.01/30.83 | v12) = v13) | ~ (hoare_512830354_state(v13) = v14) | ~
% 224.01/30.83 | (hoare_512830354_state(v1) = v21) | ~ (hAPP_f1378282496l_bool(v21,
% 224.01/30.83 | v29) = v30) | ~ (hAPP_f1378282496l_bool(v14, v19) = v20) | ~
% 224.01/30.83 | $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 224.01/30.83 | hBOOL(v20) | hBOOL(v30) | ? [v31: $i] : ? [v32: $i] :
% 224.01/30.83 | (hAPP_f1664156314l_bool(v31, v4) = v32 &
% 224.01/30.83 | hAPP_p338031245l_bool(member_pname, v0) = v31 & $i(v32) & $i(v31)
% 224.01/30.83 | & ~ hBOOL(v32)))
% 224.01/30.83 |
% 224.01/30.83 | ALPHA: (122) implies:
% 224.01/30.83 | (123) hAPP_f96342628me_com(all_1827_1, body) = all_1827_0
% 224.01/30.83 | (124) cOMBB_923936821_pname(the_com) = all_1827_1
% 224.01/30.83 |
% 224.01/30.83 | GROUND_INST: instantiating (34) with all_1443_3, all_1544_2, body, simplifying
% 224.01/30.83 | with (66), (78) gives:
% 224.01/30.83 | (125) all_1544_2 = all_1443_3
% 224.01/30.83 |
% 224.01/30.83 | GROUND_INST: instantiating (34) with all_1544_2, all_1601_6, body, simplifying
% 224.01/30.83 | with (78), (92) gives:
% 224.01/30.83 | (126) all_1601_6 = all_1544_2
% 224.01/30.83 |
% 224.01/30.83 | GROUND_INST: instantiating (34) with all_1601_6, all_1730_0, body, simplifying
% 224.01/30.83 | with (92), (112) gives:
% 224.01/30.83 | (127) all_1730_0 = all_1601_6
% 224.01/30.83 |
% 224.01/30.83 | GROUND_INST: instantiating (34) with all_1253_1, all_1730_0, body, simplifying
% 224.01/30.83 | with (57), (112) gives:
% 224.01/30.83 | (128) all_1730_0 = all_1253_1
% 224.01/30.83 |
% 224.01/30.84 | GROUND_INST: instantiating (35) with all_1454_0, all_1741_1,
% 224.01/30.84 | bot_bo784226126e_bool, simplifying with (74), (121) gives:
% 224.01/30.84 | (129) all_1741_1 = all_1454_0
% 224.01/30.84 |
% 224.01/30.84 | GROUND_INST: instantiating (43) with all_1332_2, all_1601_3, y,
% 224.01/30.84 | hoare_Mirabelle_MGT, simplifying with (61), (97) gives:
% 224.01/30.84 | (130) all_1601_3 = all_1332_2
% 224.01/30.84 |
% 224.01/30.84 | GROUND_INST: instantiating (37) with all_1727_3, all_1733_1, the_com,
% 224.01/30.84 | simplifying with (109), (116) gives:
% 224.01/30.84 | (131) all_1733_1 = all_1727_3
% 224.01/30.84 |
% 224.01/30.84 | GROUND_INST: instantiating (37) with all_1736_1, all_1827_1, the_com,
% 224.01/30.84 | simplifying with (119), (124) gives:
% 224.01/30.84 | (132) all_1827_1 = all_1736_1
% 224.01/30.84 |
% 224.01/30.84 | GROUND_INST: instantiating (37) with all_1733_1, all_1827_1, the_com,
% 224.01/30.84 | simplifying with (116), (124) gives:
% 224.01/30.84 | (133) all_1827_1 = all_1733_1
% 224.01/30.84 |
% 224.01/30.84 | GROUND_INST: instantiating (37) with all_1544_6, all_1827_1, the_com,
% 224.01/30.84 | simplifying with (85), (124) gives:
% 224.01/30.84 | (134) all_1827_1 = all_1544_6
% 224.01/30.84 |
% 224.01/30.84 | GROUND_INST: instantiating (38) with all_1443_6, all_1601_9,
% 224.01/30.84 | hoare_Mirabelle_MGT, simplifying with (72), (101) gives:
% 224.01/30.84 | (135) all_1601_9 = all_1443_6
% 224.01/30.84 |
% 224.01/30.84 | GROUND_INST: instantiating (38) with all_1601_9, all_1727_6,
% 224.01/30.84 | hoare_Mirabelle_MGT, simplifying with (101), (110) gives:
% 224.01/30.84 | (136) all_1727_6 = all_1601_9
% 224.01/30.84 |
% 224.01/30.84 | GROUND_INST: instantiating (38) with all_1544_7, all_1727_6,
% 224.01/30.84 | hoare_Mirabelle_MGT, simplifying with (86), (110) gives:
% 224.01/30.84 | (137) all_1727_6 = all_1544_7
% 224.01/30.84 |
% 224.01/30.84 | COMBINE_EQS: (132), (134) imply:
% 224.01/30.84 | (138) all_1736_1 = all_1544_6
% 224.01/30.84 |
% 224.01/30.84 | COMBINE_EQS: (132), (133) imply:
% 224.01/30.84 | (139) all_1736_1 = all_1733_1
% 224.01/30.84 |
% 224.01/30.84 | COMBINE_EQS: (138), (139) imply:
% 224.01/30.84 | (140) all_1733_1 = all_1544_6
% 224.01/30.84 |
% 224.01/30.84 | SIMP: (140) implies:
% 224.01/30.84 | (141) all_1733_1 = all_1544_6
% 224.01/30.84 |
% 224.01/30.84 | COMBINE_EQS: (131), (141) imply:
% 224.01/30.84 | (142) all_1727_3 = all_1544_6
% 224.01/30.84 |
% 224.01/30.84 | SIMP: (142) implies:
% 224.01/30.84 | (143) all_1727_3 = all_1544_6
% 224.01/30.84 |
% 224.01/30.84 | COMBINE_EQS: (127), (128) imply:
% 224.01/30.84 | (144) all_1601_6 = all_1253_1
% 224.01/30.84 |
% 224.01/30.84 | SIMP: (144) implies:
% 224.01/30.84 | (145) all_1601_6 = all_1253_1
% 224.01/30.84 |
% 224.01/30.84 | COMBINE_EQS: (136), (137) imply:
% 224.01/30.84 | (146) all_1601_9 = all_1544_7
% 224.01/30.84 |
% 224.01/30.84 | SIMP: (146) implies:
% 224.01/30.84 | (147) all_1601_9 = all_1544_7
% 224.01/30.84 |
% 224.01/30.84 | COMBINE_EQS: (126), (145) imply:
% 224.01/30.84 | (148) all_1544_2 = all_1253_1
% 224.01/30.84 |
% 224.01/30.84 | SIMP: (148) implies:
% 224.01/30.84 | (149) all_1544_2 = all_1253_1
% 224.01/30.84 |
% 224.01/30.84 | COMBINE_EQS: (135), (147) imply:
% 224.01/30.84 | (150) all_1544_7 = all_1443_6
% 224.01/30.84 |
% 224.01/30.84 | COMBINE_EQS: (125), (149) imply:
% 224.01/30.84 | (151) all_1443_3 = all_1253_1
% 224.01/30.84 |
% 224.01/30.84 | SIMP: (151) implies:
% 224.01/30.84 | (152) all_1443_3 = all_1253_1
% 224.01/30.84 |
% 224.01/30.84 | COMBINE_EQS: (137), (150) imply:
% 224.01/30.84 | (153) all_1727_6 = all_1443_6
% 224.01/30.84 |
% 224.01/30.84 | REDUCE: (123), (134) imply:
% 224.01/30.84 | (154) hAPP_f96342628me_com(all_1544_6, body) = all_1827_0
% 224.01/30.84 |
% 224.01/30.84 | REDUCE: (118), (138) imply:
% 224.01/30.84 | (155) hAPP_f96342628me_com(all_1544_6, body) = all_1736_0
% 224.01/30.84 |
% 224.01/30.84 | REDUCE: (115), (141) imply:
% 224.01/30.84 | (156) hAPP_f96342628me_com(all_1544_6, body) = all_1733_0
% 224.01/30.84 |
% 224.01/30.84 | REDUCE: (108), (143) imply:
% 224.01/30.84 | (157) hAPP_f96342628me_com(all_1544_6, body) = all_1727_2
% 224.01/30.84 |
% 224.01/30.84 | REDUCE: (107), (153) imply:
% 224.01/30.84 | (158) hAPP_f1377420673_state(all_1443_6, all_1727_2) = all_1727_1
% 224.01/30.84 |
% 224.01/30.84 | REDUCE: (106), (153) imply:
% 224.01/30.84 | (159) hAPP_f1377420673_state(all_1443_6, body_1) = all_1727_5
% 224.01/30.84 |
% 224.01/30.84 | REDUCE: (100), (135) imply:
% 224.01/30.84 | (160) hAPP_f1377420673_state(all_1443_6, body_1) = all_1601_8
% 224.01/30.84 |
% 224.01/30.84 | REDUCE: (83), (150) imply:
% 224.01/30.84 | (161) hAPP_f1377420673_state(all_1443_6, all_1544_5) = all_1544_4
% 224.01/30.84 |
% 224.01/30.84 | REDUCE: (98), (145) imply:
% 224.01/30.84 | (162) hAPP_f360545851e_bool(all_1601_7, all_1253_1) = all_1601_5
% 224.01/30.84 |
% 224.01/30.84 | REDUCE: (81), (149) imply:
% 224.01/30.84 | (163) hAPP_f360545851e_bool(all_1544_3, all_1253_1) = all_1544_1
% 224.01/30.84 |
% 224.01/30.84 | REDUCE: (69), (152) imply:
% 224.01/30.84 | (164) hAPP_f360545851e_bool(all_1443_4, all_1253_1) = all_1443_2
% 224.01/30.84 |
% 224.01/30.84 | REDUCE: (96), (130) imply:
% 224.01/30.84 | (165) hAPP_H1902130436e_bool(insert1744391420_state, all_1332_2) =
% 224.01/30.84 | all_1601_2
% 224.01/30.84 |
% 224.01/30.84 | REDUCE: (90), (130) imply:
% 224.01/30.84 | (166) $i(all_1332_2)
% 224.01/30.84 |
% 224.01/30.84 | REDUCE: (65), (152) imply:
% 224.01/30.84 | (167) $i(all_1253_1)
% 224.01/30.84 |
% 224.01/30.84 | GROUND_INST: instantiating (45) with all_1443_5, all_1727_5, body_1,
% 224.01/30.84 | all_1443_6, simplifying with (71), (159) gives:
% 224.01/30.84 | (168) all_1727_5 = all_1443_5
% 224.01/30.84 |
% 224.01/30.84 | GROUND_INST: instantiating (45) with all_1601_8, all_1727_5, body_1,
% 224.01/30.84 | all_1443_6, simplifying with (159), (160) gives:
% 224.01/30.84 | (169) all_1727_5 = all_1601_8
% 224.01/30.84 |
% 224.01/30.84 | GROUND_INST: instantiating (46) with all_1727_2, all_1736_0, body, all_1544_6,
% 224.01/30.84 | simplifying with (155), (157) gives:
% 224.01/30.84 | (170) all_1736_0 = all_1727_2
% 224.01/30.84 |
% 224.01/30.84 | GROUND_INST: instantiating (46) with all_1544_5, all_1827_0, body, all_1544_6,
% 224.01/30.84 | simplifying with (84), (154) gives:
% 224.01/30.84 | (171) all_1827_0 = all_1544_5
% 224.01/30.84 |
% 224.01/30.84 | GROUND_INST: instantiating (46) with all_1736_0, all_1827_0, body, all_1544_6,
% 224.01/30.84 | simplifying with (154), (155) gives:
% 224.01/30.84 | (172) all_1827_0 = all_1736_0
% 224.01/30.84 |
% 224.01/30.84 | GROUND_INST: instantiating (46) with all_1733_0, all_1827_0, body, all_1544_6,
% 224.01/30.84 | simplifying with (154), (156) gives:
% 224.01/30.84 | (173) all_1827_0 = all_1733_0
% 224.01/30.84 |
% 224.01/30.84 | COMBINE_EQS: (171), (173) imply:
% 224.01/30.84 | (174) all_1733_0 = all_1544_5
% 224.01/30.84 |
% 224.01/30.84 | COMBINE_EQS: (172), (173) imply:
% 224.01/30.84 | (175) all_1736_0 = all_1733_0
% 224.01/30.84 |
% 224.01/30.84 | SIMP: (175) implies:
% 224.01/30.84 | (176) all_1736_0 = all_1733_0
% 224.01/30.84 |
% 224.01/30.84 | COMBINE_EQS: (170), (176) imply:
% 224.01/30.84 | (177) all_1733_0 = all_1727_2
% 224.01/30.84 |
% 224.01/30.84 | SIMP: (177) implies:
% 224.01/30.84 | (178) all_1733_0 = all_1727_2
% 224.01/30.84 |
% 224.01/30.84 | COMBINE_EQS: (174), (178) imply:
% 224.01/30.84 | (179) all_1727_2 = all_1544_5
% 224.01/30.84 |
% 224.01/30.84 | SIMP: (179) implies:
% 224.01/30.84 | (180) all_1727_2 = all_1544_5
% 224.01/30.84 |
% 224.01/30.84 | COMBINE_EQS: (168), (169) imply:
% 224.01/30.84 | (181) all_1601_8 = all_1443_5
% 224.01/30.84 |
% 224.01/30.84 | SIMP: (181) implies:
% 224.01/30.84 | (182) all_1601_8 = all_1443_5
% 224.01/30.84 |
% 224.01/30.84 | REDUCE: (158), (180) imply:
% 224.01/30.84 | (183) hAPP_f1377420673_state(all_1443_6, all_1544_5) = all_1727_1
% 224.01/30.84 |
% 224.01/30.84 | REDUCE: (104), (168) imply:
% 224.01/30.84 | (184) image_185131637_state(all_1443_5) = all_1727_4
% 224.01/30.84 |
% 224.01/30.84 | REDUCE: (99), (182) imply:
% 224.01/30.84 | (185) image_185131637_state(all_1443_5) = all_1601_7
% 224.01/30.84 |
% 224.01/30.84 | GROUND_INST: instantiating (36) with all_1443_4, all_1727_4, all_1443_5,
% 224.01/30.84 | simplifying with (70), (184) gives:
% 224.01/30.84 | (186) all_1727_4 = all_1443_4
% 224.01/30.84 |
% 224.01/30.84 | GROUND_INST: instantiating (36) with all_1601_7, all_1727_4, all_1443_5,
% 224.01/30.84 | simplifying with (184), (185) gives:
% 224.01/30.84 | (187) all_1727_4 = all_1601_7
% 224.01/30.84 |
% 224.01/30.84 | GROUND_INST: instantiating (45) with all_1544_4, all_1727_1, all_1544_5,
% 224.01/30.84 | all_1443_6, simplifying with (161), (183) gives:
% 224.01/30.84 | (188) all_1727_1 = all_1544_4
% 224.01/30.84 |
% 224.01/30.84 | COMBINE_EQS: (186), (187) imply:
% 224.01/30.84 | (189) all_1601_7 = all_1443_4
% 224.01/30.84 |
% 224.01/30.84 | REDUCE: (105), (188) imply:
% 224.01/30.85 | (190) image_185131637_state(all_1544_4) = all_1727_0
% 224.01/30.85 |
% 224.01/30.85 | REDUCE: (162), (189) imply:
% 224.01/30.85 | (191) hAPP_f360545851e_bool(all_1443_4, all_1253_1) = all_1601_5
% 224.01/30.85 |
% 224.01/30.85 | REDUCE: (103), (188) imply:
% 224.01/30.85 | (192) $i(all_1544_4)
% 224.01/30.85 |
% 224.01/30.85 | GROUND_INST: instantiating (44) with all_1443_2, all_1601_5, all_1253_1,
% 224.01/30.85 | all_1443_4, simplifying with (164), (191) gives:
% 224.01/30.85 | (193) all_1601_5 = all_1443_2
% 224.01/30.85 |
% 224.01/30.85 | GROUND_INST: instantiating (36) with all_1544_3, all_1727_0, all_1544_4,
% 224.01/30.85 | simplifying with (82), (190) gives:
% 224.01/30.85 | (194) all_1727_0 = all_1544_3
% 224.01/30.85 |
% 224.01/30.85 | REDUCE: (94), (193) imply:
% 224.01/30.85 | (195) hoare_512830354_state(all_1443_2) = all_1601_4
% 224.01/30.85 |
% 224.01/30.85 | REDUCE: (89), (193) imply:
% 224.01/30.85 | (196) $i(all_1443_2)
% 224.01/30.85 |
% 224.01/30.85 | GROUND_INST: instantiating (35) with all_1443_1, all_1601_4, all_1443_2,
% 224.01/30.85 | simplifying with (68), (195) gives:
% 224.01/30.85 | (197) all_1601_4 = all_1443_1
% 224.01/30.85 |
% 224.01/30.85 | REDUCE: (93), (197) imply:
% 224.01/30.85 | (198) hAPP_f1378282496l_bool(all_1443_1, all_1601_1) = all_1601_0
% 224.01/30.85 |
% 224.01/30.85 | GROUND_INST: instantiating
% 224.01/30.85 | (gsy_c_Map_Odom_000tc__Com__Opname_000tc__Com__Ocom) with body,
% 224.01/30.85 | all_1253_1, simplifying with (31), (57) gives:
% 224.01/30.85 | (199) is_fun_pname_bool(all_1253_1)
% 224.01/30.85 |
% 224.01/30.85 | GROUND_INST: instantiating (fact_4_cut) with all_1443_2, fa, all_1601_1,
% 224.01/30.85 | all_1443_1, all_1443_0, all_1601_0, simplifying with (29), (64),
% 224.01/30.85 | (67), (68), (88), (91), (196), (198) gives:
% 224.01/30.85 | (200) ? [v0: $i] : ? [v1: $i] : (hoare_512830354_state(fa) = v0 &
% 224.01/30.85 | hAPP_f1378282496l_bool(v0, all_1601_1) = v1 & $i(v1) & $i(v0) & ~
% 224.01/30.85 | hBOOL(v1))
% 224.01/30.85 |
% 224.01/30.85 | GROUND_INST: instantiating (1) with all_1443_2, all_1443_1, simplifying with
% 224.01/30.85 | (68), (196) gives:
% 224.01/30.85 | (201) ? [v0: $i] : (hAPP_f1378282496l_bool(all_1443_1,
% 224.01/30.85 | bot_bo784226126e_bool) = v0 & $i(v0) & hBOOL(v0))
% 224.01/30.85 |
% 224.01/30.85 | GROUND_INST: instantiating (9) with all_1223_0, bot_bo784226126e_bool,
% 224.01/30.85 | simplifying with (54), (55) gives:
% 224.01/30.85 | (202) all_1223_0 = bot_bo784226126e_bool
% 224.01/30.85 |
% 224.01/30.85 | GROUND_INST: instantiating (4) with all_1443_2, all_1332_2, all_1601_1,
% 224.01/30.85 | all_1443_1, all_1601_2, all_1601_1, all_1601_0, all_1601_0,
% 224.01/30.85 | simplifying with (68), (88), (91), (95), (165), (166), (196),
% 224.01/30.85 | (198) gives:
% 224.01/30.85 | (203) ? [v0: $i] : ? [v1: $i] : (hAPP_f806699093e_bool(all_1601_2,
% 224.01/30.85 | all_1601_1) = v0 & hAPP_f1378282496l_bool(all_1443_1, v0) = v1 &
% 224.01/30.85 | $i(v1) & $i(v0) & ~ hBOOL(v1))
% 224.01/30.85 |
% 224.01/30.85 | GROUND_INST: instantiating (3) with all_1443_2, all_1332_2, fa, all_1443_1,
% 224.01/30.85 | all_1601_2, all_1601_1, all_1601_0, all_1443_0, simplifying with
% 224.01/30.85 | (29), (67), (68), (88), (95), (165), (166), (196), (198) gives:
% 224.01/30.85 | (204) ? [v0: $i] : ? [v1: $i] : (hAPP_f806699093e_bool(all_1601_2, fa) =
% 224.01/30.85 | v0 & hAPP_f1378282496l_bool(all_1443_1, v0) = v1 & $i(v1) & $i(v0)
% 224.01/30.85 | & ~ hBOOL(v1))
% 224.01/30.85 |
% 224.01/30.85 | GROUND_INST: instantiating (15) with all_1332_2, all_1601_2, simplifying with
% 224.01/30.85 | (165), (166) gives:
% 224.01/30.85 | (205) ? [v0: $i] : (hAPP_f718417177_state(the_el2080696983_state, v0) =
% 224.01/30.85 | all_1332_2 & hAPP_f806699093e_bool(all_1601_2,
% 224.01/30.85 | bot_bo784226126e_bool) = v0 & $i(v0))
% 224.01/30.85 |
% 224.01/30.85 | GROUND_INST: instantiating (113) with y, all_1443_2, all_1443_1, all_1332_2,
% 224.01/30.85 | all_1601_2, all_1601_1, all_1601_0, simplifying with (22), (32),
% 224.01/30.85 | (61), (68), (88), (95), (165), (196), (198) gives:
% 224.01/30.85 | (206) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 224.01/30.85 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ($i(v1) &
% 224.01/30.85 | ((hAPP_pname_com(body_1, v1) = v4 &
% 224.01/30.85 | hAPP_c1455475371_state(hoare_Mirabelle_MGT, v4) = v5 &
% 224.01/30.85 | hAPP_H1902130436e_bool(insert1744391420_state, v5) = v6 &
% 224.01/30.85 | hAPP_f806699093e_bool(v6, bot_bo784226126e_bool) = v7 &
% 224.01/30.85 | hAPP_f1378282496l_bool(all_1443_1, v7) = v8 &
% 224.01/30.85 | hAPP_f1664156314l_bool(v2, all_1730_0) = v3 &
% 224.01/30.85 | hAPP_p338031245l_bool(member_pname, v1) = v2 & $i(v8) & $i(v7)
% 224.01/30.85 | & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & hBOOL(v3) &
% 224.01/30.85 | is_pname(v1) & ~ hBOOL(v8)) | (hAPP_com_bool(wt, y) = v0 &
% 224.01/30.85 | $i(v0) & ~ hBOOL(v0))))
% 224.01/30.85 |
% 224.01/30.85 | GROUND_INST: instantiating (75) with y, all_1332_2, simplifying with (22),
% 224.01/30.85 | (23), (32), (61) gives:
% 224.01/30.85 | (207) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 224.01/30.85 | ((hAPP_H1902130436e_bool(insert1744391420_state, all_1332_2) = v1 &
% 224.01/30.85 | hAPP_f806699093e_bool(v1, bot_bo784226126e_bool) = v2 &
% 224.01/30.85 | hAPP_f1378282496l_bool(all_1454_0, v2) = v3 & $i(v3) & $i(v2) &
% 224.01/30.85 | $i(v1) & hBOOL(v3)) | (hAPP_com_bool(wt, y) = v0 & $i(v0) & ~
% 224.01/30.85 | hBOOL(v0)))
% 224.01/30.85 |
% 224.01/30.85 | GROUND_INST: instantiating (12) with all_1544_4, all_1253_1, fa, all_1544_8,
% 224.01/30.85 | all_1544_3, all_1544_1, all_1544_0, simplifying with (29), (77),
% 224.01/30.85 | (79), (80), (82), (163), (167), (192) gives:
% 224.01/30.85 | (208) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 224.01/30.85 | ? [v5: $i] : ($i(v1) & ((v5 = fa & hAPP_f360545851e_bool(all_1544_3,
% 224.01/30.85 | v1) = fa & hAPP_f434788991l_bool(ord_le313189616e_bool, v1) =
% 224.01/30.85 | v2 & hAPP_f1664156314l_bool(v2, all_1253_1) = v3 &
% 224.01/30.85 | hAPP_f1664156314l_bool(finite_finite_pname, v1) = v4 & $i(v4) &
% 224.01/30.85 | $i(v3) & $i(v2) & hBOOL(v4) & hBOOL(v3) &
% 224.01/30.85 | is_fun_pname_bool(v1)) |
% 224.01/30.85 | (hAPP_f1378282496l_bool(finite694102371_state, fa) = v0 & $i(v0)
% 224.01/30.85 | & ~ hBOOL(v0))))
% 224.01/30.85 |
% 224.01/30.85 | GROUND_INST: instantiating (7) with fa, all_1332_2, fa, all_1332_1,
% 224.01/30.85 | all_1332_0, all_1332_0, simplifying with (29), (59), (60), (62),
% 224.01/30.85 | (166) gives:
% 224.01/30.85 | (209) ? [v0: $i] : ? [v1: $i] :
% 224.01/30.85 | (hAPP_H1902130436e_bool(insert1744391420_state, all_1332_2) = v0 &
% 224.01/30.85 | hAPP_f806699093e_bool(v0, fa) = v1 & $i(v1) & $i(v0))
% 224.01/30.85 |
% 224.01/30.85 | GROUND_INST: instantiating (16) with all_1332_2, fa, all_1332_1, all_1332_0,
% 224.01/30.85 | simplifying with (29), (59), (60), (62), (166) gives:
% 224.01/30.85 | (210) ? [v0: $i] : ? [v1: $i] : ( ~ (v1 = bot_bo784226126e_bool) &
% 224.01/30.85 | hAPP_H1902130436e_bool(insert1744391420_state, all_1332_2) = v0 &
% 224.01/30.85 | hAPP_f806699093e_bool(v0, fa) = v1 & $i(v1) & $i(v0))
% 224.01/30.85 |
% 224.01/30.85 | GROUND_INST: instantiating (11) with pn, y, all_1217_0, simplifying with (23),
% 224.01/30.85 | (27), (32), (51), (52) gives:
% 224.01/30.85 | (211) ? [v0: $i] : (hAPP_com_bool(wt, y) = v0 & $i(v0) & hBOOL(v0))
% 224.01/30.85 |
% 224.01/30.85 | DELTA: instantiating (211) with fresh symbol all_1881_0 gives:
% 224.01/30.85 | (212) hAPP_com_bool(wt, y) = all_1881_0 & $i(all_1881_0) &
% 224.01/30.85 | hBOOL(all_1881_0)
% 224.01/30.85 |
% 224.01/30.85 | ALPHA: (212) implies:
% 224.01/30.85 | (213) hBOOL(all_1881_0)
% 224.01/30.85 | (214) hAPP_com_bool(wt, y) = all_1881_0
% 224.01/30.85 |
% 224.01/30.85 | DELTA: instantiating (205) with fresh symbol all_1893_0 gives:
% 224.01/30.85 | (215) hAPP_f718417177_state(the_el2080696983_state, all_1893_0) =
% 224.01/30.85 | all_1332_2 & hAPP_f806699093e_bool(all_1601_2, bot_bo784226126e_bool)
% 224.01/30.85 | = all_1893_0 & $i(all_1893_0)
% 224.01/30.85 |
% 224.01/30.85 | ALPHA: (215) implies:
% 224.01/30.85 | (216) hAPP_f806699093e_bool(all_1601_2, bot_bo784226126e_bool) = all_1893_0
% 224.01/30.85 |
% 224.01/30.85 | DELTA: instantiating (201) with fresh symbol all_1905_0 gives:
% 224.01/30.85 | (217) hAPP_f1378282496l_bool(all_1443_1, bot_bo784226126e_bool) =
% 224.01/30.85 | all_1905_0 & $i(all_1905_0) & hBOOL(all_1905_0)
% 224.01/30.85 |
% 224.01/30.85 | ALPHA: (217) implies:
% 224.01/30.85 | (218) hBOOL(all_1905_0)
% 224.01/30.85 | (219) hAPP_f1378282496l_bool(all_1443_1, bot_bo784226126e_bool) =
% 224.01/30.85 | all_1905_0
% 224.01/30.85 |
% 224.01/30.85 | DELTA: instantiating (209) with fresh symbols all_1909_0, all_1909_1 gives:
% 224.01/30.85 | (220) hAPP_H1902130436e_bool(insert1744391420_state, all_1332_2) =
% 224.01/30.85 | all_1909_1 & hAPP_f806699093e_bool(all_1909_1, fa) = all_1909_0 &
% 224.01/30.85 | $i(all_1909_0) & $i(all_1909_1)
% 224.01/30.85 |
% 224.01/30.85 | ALPHA: (220) implies:
% 224.01/30.85 | (221) hAPP_f806699093e_bool(all_1909_1, fa) = all_1909_0
% 224.01/30.85 | (222) hAPP_H1902130436e_bool(insert1744391420_state, all_1332_2) =
% 224.01/30.85 | all_1909_1
% 224.01/30.85 |
% 224.01/30.85 | DELTA: instantiating (203) with fresh symbols all_1911_0, all_1911_1 gives:
% 224.01/30.85 | (223) hAPP_f806699093e_bool(all_1601_2, all_1601_1) = all_1911_1 &
% 224.01/30.85 | hAPP_f1378282496l_bool(all_1443_1, all_1911_1) = all_1911_0 &
% 224.01/30.85 | $i(all_1911_0) & $i(all_1911_1) & ~ hBOOL(all_1911_0)
% 224.01/30.85 |
% 224.01/30.85 | ALPHA: (223) implies:
% 224.01/30.85 | (224) ~ hBOOL(all_1911_0)
% 224.01/30.86 | (225) $i(all_1911_1)
% 224.01/30.86 | (226) hAPP_f1378282496l_bool(all_1443_1, all_1911_1) = all_1911_0
% 224.01/30.86 | (227) hAPP_f806699093e_bool(all_1601_2, all_1601_1) = all_1911_1
% 224.01/30.86 |
% 224.01/30.86 | DELTA: instantiating (210) with fresh symbols all_1913_0, all_1913_1 gives:
% 224.01/30.86 | (228) ~ (all_1913_0 = bot_bo784226126e_bool) &
% 224.01/30.86 | hAPP_H1902130436e_bool(insert1744391420_state, all_1332_2) =
% 224.01/30.86 | all_1913_1 & hAPP_f806699093e_bool(all_1913_1, fa) = all_1913_0 &
% 224.01/30.86 | $i(all_1913_0) & $i(all_1913_1)
% 224.01/30.86 |
% 224.01/30.86 | ALPHA: (228) implies:
% 224.01/30.86 | (229) $i(all_1913_0)
% 224.01/30.86 | (230) hAPP_f806699093e_bool(all_1913_1, fa) = all_1913_0
% 224.01/30.86 | (231) hAPP_H1902130436e_bool(insert1744391420_state, all_1332_2) =
% 224.01/30.86 | all_1913_1
% 224.01/30.86 |
% 224.01/30.86 | DELTA: instantiating (200) with fresh symbols all_1915_0, all_1915_1 gives:
% 224.01/30.86 | (232) hoare_512830354_state(fa) = all_1915_1 &
% 224.01/30.86 | hAPP_f1378282496l_bool(all_1915_1, all_1601_1) = all_1915_0 &
% 224.01/30.86 | $i(all_1915_0) & $i(all_1915_1) & ~ hBOOL(all_1915_0)
% 224.01/30.86 |
% 224.01/30.86 | ALPHA: (232) implies:
% 224.01/30.86 | (233) ~ hBOOL(all_1915_0)
% 224.01/30.86 | (234) hAPP_f1378282496l_bool(all_1915_1, all_1601_1) = all_1915_0
% 224.01/30.86 | (235) hoare_512830354_state(fa) = all_1915_1
% 224.01/30.86 |
% 224.01/30.86 | DELTA: instantiating (204) with fresh symbols all_1919_0, all_1919_1 gives:
% 224.01/30.86 | (236) hAPP_f806699093e_bool(all_1601_2, fa) = all_1919_1 &
% 224.01/30.86 | hAPP_f1378282496l_bool(all_1443_1, all_1919_1) = all_1919_0 &
% 224.01/30.86 | $i(all_1919_0) & $i(all_1919_1) & ~ hBOOL(all_1919_0)
% 224.01/30.86 |
% 224.01/30.86 | ALPHA: (236) implies:
% 224.01/30.86 | (237) ~ hBOOL(all_1919_0)
% 224.01/30.86 | (238) hAPP_f1378282496l_bool(all_1443_1, all_1919_1) = all_1919_0
% 224.01/30.86 | (239) hAPP_f806699093e_bool(all_1601_2, fa) = all_1919_1
% 224.01/30.86 |
% 224.01/30.86 | DELTA: instantiating (207) with fresh symbols all_1932_0, all_1932_1,
% 224.01/30.86 | all_1932_2, all_1932_3 gives:
% 224.01/30.86 | (240) (hAPP_H1902130436e_bool(insert1744391420_state, all_1332_2) =
% 224.01/30.86 | all_1932_2 & hAPP_f806699093e_bool(all_1932_2,
% 224.01/30.86 | bot_bo784226126e_bool) = all_1932_1 &
% 224.01/30.86 | hAPP_f1378282496l_bool(all_1454_0, all_1932_1) = all_1932_0 &
% 224.01/30.86 | $i(all_1932_0) & $i(all_1932_1) & $i(all_1932_2) &
% 224.01/30.86 | hBOOL(all_1932_0)) | (hAPP_com_bool(wt, y) = all_1932_3 &
% 224.01/30.86 | $i(all_1932_3) & ~ hBOOL(all_1932_3))
% 224.01/30.86 |
% 224.01/30.86 | DELTA: instantiating (208) with fresh symbols all_1936_0, all_1936_1,
% 224.01/30.86 | all_1936_2, all_1936_3, all_1936_4, all_1936_5 gives:
% 224.01/30.86 | (241) $i(all_1936_4) & ((all_1936_0 = fa &
% 224.01/30.86 | hAPP_f360545851e_bool(all_1544_3, all_1936_4) = fa &
% 224.01/30.86 | hAPP_f434788991l_bool(ord_le313189616e_bool, all_1936_4) =
% 224.01/30.86 | all_1936_3 & hAPP_f1664156314l_bool(all_1936_3, all_1253_1) =
% 224.01/30.86 | all_1936_2 & hAPP_f1664156314l_bool(finite_finite_pname,
% 224.01/30.86 | all_1936_4) = all_1936_1 & $i(all_1936_1) & $i(all_1936_2) &
% 224.01/30.86 | $i(all_1936_3) & hBOOL(all_1936_1) & hBOOL(all_1936_2) &
% 224.01/30.86 | is_fun_pname_bool(all_1936_4)) |
% 224.01/30.86 | (hAPP_f1378282496l_bool(finite694102371_state, fa) = all_1936_5 &
% 224.01/30.86 | $i(all_1936_5) & ~ hBOOL(all_1936_5)))
% 224.01/30.86 |
% 224.01/30.86 | ALPHA: (241) implies:
% 224.01/30.86 | (242) $i(all_1936_4)
% 224.01/30.86 | (243) (all_1936_0 = fa & hAPP_f360545851e_bool(all_1544_3, all_1936_4) = fa
% 224.01/30.86 | & hAPP_f434788991l_bool(ord_le313189616e_bool, all_1936_4) =
% 224.01/30.86 | all_1936_3 & hAPP_f1664156314l_bool(all_1936_3, all_1253_1) =
% 224.01/30.86 | all_1936_2 & hAPP_f1664156314l_bool(finite_finite_pname,
% 224.01/30.86 | all_1936_4) = all_1936_1 & $i(all_1936_1) & $i(all_1936_2) &
% 224.01/30.86 | $i(all_1936_3) & hBOOL(all_1936_1) & hBOOL(all_1936_2) &
% 224.01/30.86 | is_fun_pname_bool(all_1936_4)) |
% 224.01/30.86 | (hAPP_f1378282496l_bool(finite694102371_state, fa) = all_1936_5 &
% 224.01/30.86 | $i(all_1936_5) & ~ hBOOL(all_1936_5))
% 224.01/30.86 |
% 224.01/30.86 | DELTA: instantiating (206) with fresh symbols all_1938_0, all_1938_1,
% 224.01/30.86 | all_1938_2, all_1938_3, all_1938_4, all_1938_5, all_1938_6, all_1938_7,
% 224.01/30.86 | all_1938_8 gives:
% 224.01/30.86 | (244) $i(all_1938_7) & ((hAPP_pname_com(body_1, all_1938_7) = all_1938_4 &
% 224.01/30.86 | hAPP_c1455475371_state(hoare_Mirabelle_MGT, all_1938_4) =
% 224.01/30.86 | all_1938_3 & hAPP_H1902130436e_bool(insert1744391420_state,
% 224.01/30.86 | all_1938_3) = all_1938_2 & hAPP_f806699093e_bool(all_1938_2,
% 224.01/30.86 | bot_bo784226126e_bool) = all_1938_1 &
% 224.01/30.86 | hAPP_f1378282496l_bool(all_1443_1, all_1938_1) = all_1938_0 &
% 224.01/30.86 | hAPP_f1664156314l_bool(all_1938_6, all_1730_0) = all_1938_5 &
% 224.01/30.86 | hAPP_p338031245l_bool(member_pname, all_1938_7) = all_1938_6 &
% 224.01/30.86 | $i(all_1938_0) & $i(all_1938_1) & $i(all_1938_2) & $i(all_1938_3)
% 224.01/30.86 | & $i(all_1938_4) & $i(all_1938_5) & $i(all_1938_6) &
% 224.01/30.86 | hBOOL(all_1938_5) & is_pname(all_1938_7) & ~ hBOOL(all_1938_0))
% 224.01/30.86 | | (hAPP_com_bool(wt, y) = all_1938_8 & $i(all_1938_8) & ~
% 224.01/30.86 | hBOOL(all_1938_8)))
% 224.01/30.86 |
% 224.01/30.86 | ALPHA: (244) implies:
% 224.01/30.86 | (245) (hAPP_pname_com(body_1, all_1938_7) = all_1938_4 &
% 224.01/30.86 | hAPP_c1455475371_state(hoare_Mirabelle_MGT, all_1938_4) =
% 224.01/30.86 | all_1938_3 & hAPP_H1902130436e_bool(insert1744391420_state,
% 224.01/30.86 | all_1938_3) = all_1938_2 & hAPP_f806699093e_bool(all_1938_2,
% 224.01/30.86 | bot_bo784226126e_bool) = all_1938_1 &
% 224.01/30.86 | hAPP_f1378282496l_bool(all_1443_1, all_1938_1) = all_1938_0 &
% 224.01/30.86 | hAPP_f1664156314l_bool(all_1938_6, all_1730_0) = all_1938_5 &
% 224.01/30.86 | hAPP_p338031245l_bool(member_pname, all_1938_7) = all_1938_6 &
% 224.01/30.86 | $i(all_1938_0) & $i(all_1938_1) & $i(all_1938_2) & $i(all_1938_3) &
% 224.01/30.86 | $i(all_1938_4) & $i(all_1938_5) & $i(all_1938_6) &
% 224.01/30.86 | hBOOL(all_1938_5) & is_pname(all_1938_7) & ~ hBOOL(all_1938_0)) |
% 224.01/30.86 | (hAPP_com_bool(wt, y) = all_1938_8 & $i(all_1938_8) & ~
% 224.01/30.86 | hBOOL(all_1938_8))
% 224.01/30.86 |
% 224.01/30.86 | REDUCE: (54), (202) imply:
% 224.01/30.86 | (246) $i(bot_bo784226126e_bool)
% 224.01/30.86 |
% 224.01/30.86 | BETA: splitting (240) gives:
% 224.01/30.86 |
% 224.01/30.86 | Case 1:
% 224.01/30.86 | |
% 224.01/30.86 | | (247) hAPP_H1902130436e_bool(insert1744391420_state, all_1332_2) =
% 224.01/30.86 | | all_1932_2 & hAPP_f806699093e_bool(all_1932_2,
% 224.01/30.86 | | bot_bo784226126e_bool) = all_1932_1 &
% 224.01/30.86 | | hAPP_f1378282496l_bool(all_1454_0, all_1932_1) = all_1932_0 &
% 224.01/30.86 | | $i(all_1932_0) & $i(all_1932_1) & $i(all_1932_2) &
% 224.01/30.86 | | hBOOL(all_1932_0)
% 224.01/30.86 | |
% 224.01/30.86 | | ALPHA: (247) implies:
% 224.01/30.86 | | (248) hBOOL(all_1932_0)
% 224.01/30.86 | | (249) $i(all_1932_1)
% 224.01/30.86 | | (250) hAPP_f1378282496l_bool(all_1454_0, all_1932_1) = all_1932_0
% 224.01/30.86 | | (251) hAPP_f806699093e_bool(all_1932_2, bot_bo784226126e_bool) =
% 224.01/30.86 | | all_1932_1
% 224.01/30.86 | | (252) hAPP_H1902130436e_bool(insert1744391420_state, all_1332_2) =
% 224.01/30.86 | | all_1932_2
% 224.01/30.86 | |
% 224.01/30.86 | | BETA: splitting (243) gives:
% 224.01/30.86 | |
% 224.01/30.86 | | Case 1:
% 224.01/30.86 | | |
% 224.01/30.86 | | | (253) all_1936_0 = fa & hAPP_f360545851e_bool(all_1544_3, all_1936_4) =
% 224.01/30.86 | | | fa & hAPP_f434788991l_bool(ord_le313189616e_bool, all_1936_4) =
% 224.01/30.86 | | | all_1936_3 & hAPP_f1664156314l_bool(all_1936_3, all_1253_1) =
% 224.01/30.86 | | | all_1936_2 & hAPP_f1664156314l_bool(finite_finite_pname,
% 224.01/30.86 | | | all_1936_4) = all_1936_1 & $i(all_1936_1) & $i(all_1936_2) &
% 224.01/30.86 | | | $i(all_1936_3) & hBOOL(all_1936_1) & hBOOL(all_1936_2) &
% 224.01/30.86 | | | is_fun_pname_bool(all_1936_4)
% 224.01/30.86 | | |
% 224.01/30.86 | | | ALPHA: (253) implies:
% 224.01/30.86 | | | (254) hBOOL(all_1936_2)
% 224.01/30.86 | | | (255) hAPP_f1664156314l_bool(all_1936_3, all_1253_1) = all_1936_2
% 224.01/30.86 | | | (256) hAPP_f434788991l_bool(ord_le313189616e_bool, all_1936_4) =
% 224.01/30.86 | | | all_1936_3
% 224.01/30.86 | | |
% 224.01/30.86 | | | BETA: splitting (245) gives:
% 224.01/30.86 | | |
% 224.01/30.86 | | | Case 1:
% 224.01/30.86 | | | |
% 224.01/30.86 | | | | (257) hAPP_pname_com(body_1, all_1938_7) = all_1938_4 &
% 224.01/30.86 | | | | hAPP_c1455475371_state(hoare_Mirabelle_MGT, all_1938_4) =
% 224.01/30.86 | | | | all_1938_3 & hAPP_H1902130436e_bool(insert1744391420_state,
% 224.01/30.86 | | | | all_1938_3) = all_1938_2 & hAPP_f806699093e_bool(all_1938_2,
% 224.01/30.86 | | | | bot_bo784226126e_bool) = all_1938_1 &
% 224.01/30.86 | | | | hAPP_f1378282496l_bool(all_1443_1, all_1938_1) = all_1938_0 &
% 224.01/30.86 | | | | hAPP_f1664156314l_bool(all_1938_6, all_1730_0) = all_1938_5 &
% 224.01/30.86 | | | | hAPP_p338031245l_bool(member_pname, all_1938_7) = all_1938_6 &
% 224.01/30.86 | | | | $i(all_1938_0) & $i(all_1938_1) & $i(all_1938_2) &
% 224.01/30.86 | | | | $i(all_1938_3) & $i(all_1938_4) & $i(all_1938_5) &
% 224.01/30.86 | | | | $i(all_1938_6) & hBOOL(all_1938_5) & is_pname(all_1938_7) & ~
% 224.01/30.86 | | | | hBOOL(all_1938_0)
% 224.01/30.86 | | | |
% 224.01/30.86 | | | | ALPHA: (257) implies:
% 224.01/30.86 | | | | (258) ~ hBOOL(all_1938_0)
% 224.01/30.86 | | | | (259) $i(all_1938_1)
% 224.01/30.86 | | | | (260) hAPP_f1378282496l_bool(all_1443_1, all_1938_1) = all_1938_0
% 224.01/30.86 | | | |
% 224.01/30.86 | | | | GROUND_INST: instantiating (41) with all_1601_1, all_1893_0,
% 224.01/30.86 | | | | bot_bo784226126e_bool, all_1601_2, simplifying with (95),
% 224.01/30.86 | | | | (216) gives:
% 224.01/30.86 | | | | (261) all_1893_0 = all_1601_1
% 224.01/30.86 | | | |
% 224.01/30.86 | | | | GROUND_INST: instantiating (42) with all_1601_2, all_1913_1, all_1332_2,
% 224.01/30.86 | | | | insert1744391420_state, simplifying with (165), (231)
% 224.01/30.86 | | | | gives:
% 224.01/30.86 | | | | (262) all_1913_1 = all_1601_2
% 224.01/30.86 | | | |
% 224.01/30.86 | | | | GROUND_INST: instantiating (42) with all_1913_1, all_1932_2, all_1332_2,
% 224.01/30.86 | | | | insert1744391420_state, simplifying with (231), (252)
% 224.01/30.86 | | | | gives:
% 224.01/30.86 | | | | (263) all_1932_2 = all_1913_1
% 224.01/30.86 | | | |
% 224.01/30.86 | | | | GROUND_INST: instantiating (42) with all_1909_1, all_1932_2, all_1332_2,
% 224.01/30.86 | | | | insert1744391420_state, simplifying with (222), (252)
% 224.01/30.86 | | | | gives:
% 224.01/30.86 | | | | (264) all_1932_2 = all_1909_1
% 224.01/30.86 | | | |
% 224.01/30.86 | | | | COMBINE_EQS: (263), (264) imply:
% 224.01/30.86 | | | | (265) all_1913_1 = all_1909_1
% 224.01/30.86 | | | |
% 224.01/30.86 | | | | SIMP: (265) implies:
% 224.01/30.86 | | | | (266) all_1913_1 = all_1909_1
% 224.01/30.86 | | | |
% 224.01/30.86 | | | | COMBINE_EQS: (262), (266) imply:
% 224.01/30.86 | | | | (267) all_1909_1 = all_1601_2
% 224.01/30.86 | | | |
% 224.01/30.86 | | | | COMBINE_EQS: (264), (267) imply:
% 224.01/30.86 | | | | (268) all_1932_2 = all_1601_2
% 224.01/30.86 | | | |
% 224.01/30.86 | | | | REDUCE: (251), (268) imply:
% 224.01/30.86 | | | | (269) hAPP_f806699093e_bool(all_1601_2, bot_bo784226126e_bool) =
% 224.01/30.86 | | | | all_1932_1
% 224.01/30.86 | | | |
% 224.01/30.86 | | | | REDUCE: (230), (262) imply:
% 224.01/30.86 | | | | (270) hAPP_f806699093e_bool(all_1601_2, fa) = all_1913_0
% 224.01/30.86 | | | |
% 224.01/30.86 | | | | REDUCE: (221), (267) imply:
% 224.01/30.86 | | | | (271) hAPP_f806699093e_bool(all_1601_2, fa) = all_1909_0
% 224.01/30.86 | | | |
% 224.01/30.86 | | | | GROUND_INST: instantiating (41) with all_1601_1, all_1932_1,
% 224.01/30.86 | | | | bot_bo784226126e_bool, all_1601_2, simplifying with (95),
% 224.01/30.86 | | | | (269) gives:
% 224.01/30.86 | | | | (272) all_1932_1 = all_1601_1
% 224.01/30.86 | | | |
% 224.01/30.86 | | | | GROUND_INST: instantiating (41) with all_1919_1, all_1909_0, fa,
% 224.01/30.86 | | | | all_1601_2, simplifying with (239), (271) gives:
% 224.01/30.86 | | | | (273) all_1919_1 = all_1909_0
% 224.01/30.86 | | | |
% 224.01/30.86 | | | | GROUND_INST: instantiating (41) with all_1919_1, all_1913_0, fa,
% 224.01/30.86 | | | | all_1601_2, simplifying with (239), (270) gives:
% 224.01/30.86 | | | | (274) all_1919_1 = all_1913_0
% 224.01/30.86 | | | |
% 224.01/30.86 | | | | COMBINE_EQS: (273), (274) imply:
% 224.01/30.86 | | | | (275) all_1913_0 = all_1909_0
% 224.01/30.86 | | | |
% 224.01/30.86 | | | | REDUCE: (250), (272) imply:
% 224.01/30.86 | | | | (276) hAPP_f1378282496l_bool(all_1454_0, all_1601_1) = all_1932_0
% 224.01/30.86 | | | |
% 224.01/30.86 | | | | REDUCE: (238), (273) imply:
% 224.01/30.86 | | | | (277) hAPP_f1378282496l_bool(all_1443_1, all_1909_0) = all_1919_0
% 224.01/30.86 | | | |
% 224.01/30.86 | | | | REDUCE: (229), (275) imply:
% 224.01/30.86 | | | | (278) $i(all_1909_0)
% 224.01/30.86 | | | |
% 224.01/30.86 | | | | GROUND_INST: instantiating (21) with all_1936_4, all_1253_1, all_1936_3,
% 224.01/30.86 | | | | all_1936_2, simplifying with (167), (199), (242), (255),
% 224.01/30.86 | | | | (256) gives:
% 224.01/30.87 | | | | (279) ? [v0: $i] : ? [v1: any] : (( ~ hBOOL(all_1936_2) | (v1 =
% 224.01/30.87 | | | | all_1253_1 &
% 224.01/30.87 | | | | hAPP_f1388330588e_bool(semila278973382e_bool, all_1936_4)
% 224.01/30.87 | | | | = v0 & hAPP_f759274231e_bool(v0, all_1253_1) = all_1253_1
% 224.01/30.87 | | | | & $i(v0))) & (hBOOL(all_1936_2) | ( ~ (v1 = all_1253_1) &
% 224.01/30.87 | | | | hAPP_f1388330588e_bool(semila278973382e_bool, all_1936_4)
% 224.01/30.87 | | | | = v0 & hAPP_f759274231e_bool(v0, all_1253_1) = v1 &
% 224.01/30.87 | | | | $i(v1) & $i(v0))))
% 224.01/30.87 | | | |
% 224.01/30.87 | | | | GROUND_INST: instantiating (fact_4_cut) with all_1443_2,
% 224.01/30.87 | | | | bot_bo784226126e_bool, all_1601_1, all_1443_1, all_1905_0,
% 224.01/30.87 | | | | all_1601_0, simplifying with (68), (88), (91), (196),
% 224.01/30.87 | | | | (198), (218), (219), (246) gives:
% 224.01/30.87 | | | | (280) ? [v0: $i] : ? [v1: $i] :
% 224.01/30.87 | | | | (hoare_512830354_state(bot_bo784226126e_bool) = v0 &
% 224.01/30.87 | | | | hAPP_f1378282496l_bool(v0, all_1601_1) = v1 & $i(v1) & $i(v0)
% 224.01/30.87 | | | | & ~ hBOOL(v1))
% 224.01/30.87 | | | |
% 224.01/30.87 | | | | GROUND_INST: instantiating (fact_4_cut) with all_1443_2,
% 224.01/30.87 | | | | bot_bo784226126e_bool, all_1909_0, all_1443_1, all_1905_0,
% 224.01/30.87 | | | | all_1919_0, simplifying with (68), (196), (218), (219),
% 224.01/30.87 | | | | (237), (246), (277), (278) gives:
% 224.01/30.87 | | | | (281) ? [v0: $i] : ? [v1: $i] :
% 224.01/30.87 | | | | (hoare_512830354_state(bot_bo784226126e_bool) = v0 &
% 224.01/30.87 | | | | hAPP_f1378282496l_bool(v0, all_1909_0) = v1 & $i(v1) & $i(v0)
% 224.01/30.87 | | | | & ~ hBOOL(v1))
% 224.01/30.87 | | | |
% 224.01/30.87 | | | | GROUND_INST: instantiating (3) with all_1443_2, all_1332_2, all_1911_1,
% 224.01/30.87 | | | | all_1443_1, all_1601_2, all_1601_1, all_1601_0, all_1911_0,
% 224.01/30.87 | | | | simplifying with (68), (88), (95), (165), (166), (196),
% 224.01/30.87 | | | | (198), (225), (226) gives:
% 224.01/30.87 | | | | (282) ? [v0: $i] : ? [v1: $i] : (hAPP_f806699093e_bool(all_1601_2,
% 224.01/30.87 | | | | all_1911_1) = v0 & hAPP_f1378282496l_bool(all_1443_1, v0) =
% 224.01/30.87 | | | | v1 & $i(v1) & $i(v0) & ~ hBOOL(v1))
% 224.01/30.87 | | | |
% 224.01/30.87 | | | | GROUND_INST: instantiating (fact_4_cut) with all_1443_2,
% 224.01/30.87 | | | | bot_bo784226126e_bool, all_1911_1, all_1443_1, all_1905_0,
% 224.01/30.87 | | | | all_1911_0, simplifying with (68), (196), (218), (219),
% 224.01/30.87 | | | | (224), (225), (226), (246) gives:
% 224.01/30.87 | | | | (283) ? [v0: $i] : ? [v1: $i] :
% 224.01/30.87 | | | | (hoare_512830354_state(bot_bo784226126e_bool) = v0 &
% 224.01/30.87 | | | | hAPP_f1378282496l_bool(v0, all_1911_1) = v1 & $i(v1) & $i(v0)
% 224.01/30.87 | | | | & ~ hBOOL(v1))
% 224.01/30.87 | | | |
% 224.01/30.87 | | | | GROUND_INST: instantiating (fact_4_cut) with all_1443_2,
% 224.01/30.87 | | | | bot_bo784226126e_bool, all_1938_1, all_1443_1, all_1905_0,
% 224.01/30.87 | | | | all_1938_0, simplifying with (68), (196), (218), (219),
% 224.01/30.87 | | | | (246), (258), (259), (260) gives:
% 224.01/30.87 | | | | (284) ? [v0: $i] : ? [v1: $i] :
% 224.01/30.87 | | | | (hoare_512830354_state(bot_bo784226126e_bool) = v0 &
% 224.01/30.87 | | | | hAPP_f1378282496l_bool(v0, all_1938_1) = v1 & $i(v1) & $i(v0)
% 224.01/30.87 | | | | & ~ hBOOL(v1))
% 224.01/30.87 | | | |
% 224.01/30.87 | | | | GROUND_INST: instantiating (2) with all_1601_1, bot_bo784226126e_bool,
% 224.01/30.87 | | | | all_1332_2, all_1454_0, all_1601_2, all_1601_1, all_1932_0,
% 224.01/30.87 | | | | all_1932_0, simplifying with (74), (91), (95), (165),
% 224.01/30.87 | | | | (166), (246), (248), (276) gives:
% 224.01/30.87 | | | | (285) ? [v0: $i] : ? [v1: $i] : (hAPP_f806699093e_bool(all_1601_2,
% 224.01/30.87 | | | | all_1601_1) = v0 & hAPP_f1378282496l_bool(all_1454_0, v0) =
% 224.01/30.87 | | | | v1 & $i(v1) & $i(v0) & hBOOL(v1))
% 224.01/30.87 | | | |
% 224.01/30.87 | | | | GROUND_INST: instantiating (4) with fa, all_1332_2, all_1601_1,
% 224.01/30.87 | | | | all_1915_1, all_1601_2, all_1601_1, all_1915_0, all_1915_0,
% 224.01/30.87 | | | | simplifying with (29), (91), (95), (165), (166), (233),
% 224.01/30.87 | | | | (234), (235) gives:
% 224.01/30.87 | | | | (286) ? [v0: $i] : ? [v1: $i] : (hAPP_f806699093e_bool(all_1601_2,
% 224.01/30.87 | | | | all_1601_1) = v0 & hAPP_f1378282496l_bool(all_1915_1, v0) =
% 224.01/30.87 | | | | v1 & $i(v1) & $i(v0) & ~ hBOOL(v1))
% 224.01/30.87 | | | |
% 224.01/30.87 | | | | GROUND_INST: instantiating (8) with all_1332_2, bot_bo784226126e_bool,
% 224.01/30.87 | | | | all_1601_2, all_1601_1, all_1911_1, simplifying with (95),
% 224.01/30.87 | | | | (165), (166), (227), (246) gives:
% 224.01/30.87 | | | | (287) all_1911_1 = all_1601_1
% 224.01/30.87 | | | |
% 224.01/30.87 | | | | DELTA: instantiating (285) with fresh symbols all_2146_0, all_2146_1
% 224.01/30.87 | | | | gives:
% 224.01/30.87 | | | | (288) hAPP_f806699093e_bool(all_1601_2, all_1601_1) = all_2146_1 &
% 224.01/30.87 | | | | hAPP_f1378282496l_bool(all_1454_0, all_2146_1) = all_2146_0 &
% 224.01/30.87 | | | | $i(all_2146_0) & $i(all_2146_1) & hBOOL(all_2146_0)
% 224.01/30.87 | | | |
% 224.01/30.87 | | | | ALPHA: (288) implies:
% 224.01/30.87 | | | | (289) hBOOL(all_2146_0)
% 224.01/30.87 | | | | (290) hAPP_f1378282496l_bool(all_1454_0, all_2146_1) = all_2146_0
% 224.01/30.87 | | | | (291) hAPP_f806699093e_bool(all_1601_2, all_1601_1) = all_2146_1
% 224.01/30.87 | | | |
% 224.01/30.87 | | | | DELTA: instantiating (281) with fresh symbols all_2148_0, all_2148_1
% 224.01/30.87 | | | | gives:
% 224.01/30.87 | | | | (292) hoare_512830354_state(bot_bo784226126e_bool) = all_2148_1 &
% 224.01/30.87 | | | | hAPP_f1378282496l_bool(all_2148_1, all_1909_0) = all_2148_0 &
% 224.01/30.87 | | | | $i(all_2148_0) & $i(all_2148_1) & ~ hBOOL(all_2148_0)
% 224.01/30.87 | | | |
% 224.01/30.87 | | | | ALPHA: (292) implies:
% 224.01/30.87 | | | | (293) hoare_512830354_state(bot_bo784226126e_bool) = all_2148_1
% 224.01/30.87 | | | |
% 224.01/30.87 | | | | DELTA: instantiating (283) with fresh symbols all_2154_0, all_2154_1
% 224.01/30.87 | | | | gives:
% 224.01/30.87 | | | | (294) hoare_512830354_state(bot_bo784226126e_bool) = all_2154_1 &
% 224.01/30.87 | | | | hAPP_f1378282496l_bool(all_2154_1, all_1911_1) = all_2154_0 &
% 224.01/30.87 | | | | $i(all_2154_0) & $i(all_2154_1) & ~ hBOOL(all_2154_0)
% 224.01/30.87 | | | |
% 224.01/30.87 | | | | ALPHA: (294) implies:
% 224.01/30.87 | | | | (295) ~ hBOOL(all_2154_0)
% 224.01/30.87 | | | | (296) hAPP_f1378282496l_bool(all_2154_1, all_1911_1) = all_2154_0
% 224.01/30.87 | | | | (297) hoare_512830354_state(bot_bo784226126e_bool) = all_2154_1
% 224.01/30.87 | | | |
% 224.01/30.87 | | | | DELTA: instantiating (282) with fresh symbols all_2158_0, all_2158_1
% 224.01/30.87 | | | | gives:
% 224.01/30.87 | | | | (298) hAPP_f806699093e_bool(all_1601_2, all_1911_1) = all_2158_1 &
% 224.01/30.87 | | | | hAPP_f1378282496l_bool(all_1443_1, all_2158_1) = all_2158_0 &
% 224.01/30.87 | | | | $i(all_2158_0) & $i(all_2158_1) & ~ hBOOL(all_2158_0)
% 224.01/30.87 | | | |
% 224.01/30.87 | | | | ALPHA: (298) implies:
% 224.01/30.87 | | | | (299) hAPP_f806699093e_bool(all_1601_2, all_1911_1) = all_2158_1
% 224.01/30.87 | | | |
% 224.01/30.87 | | | | DELTA: instantiating (286) with fresh symbols all_2164_0, all_2164_1
% 224.01/30.87 | | | | gives:
% 224.01/30.87 | | | | (300) hAPP_f806699093e_bool(all_1601_2, all_1601_1) = all_2164_1 &
% 224.01/30.87 | | | | hAPP_f1378282496l_bool(all_1915_1, all_2164_1) = all_2164_0 &
% 224.01/30.87 | | | | $i(all_2164_0) & $i(all_2164_1) & ~ hBOOL(all_2164_0)
% 224.01/30.87 | | | |
% 224.01/30.87 | | | | ALPHA: (300) implies:
% 224.01/30.87 | | | | (301) hAPP_f806699093e_bool(all_1601_2, all_1601_1) = all_2164_1
% 224.01/30.87 | | | |
% 224.01/30.87 | | | | DELTA: instantiating (280) with fresh symbols all_2168_0, all_2168_1
% 224.01/30.87 | | | | gives:
% 224.01/30.87 | | | | (302) hoare_512830354_state(bot_bo784226126e_bool) = all_2168_1 &
% 224.01/30.87 | | | | hAPP_f1378282496l_bool(all_2168_1, all_1601_1) = all_2168_0 &
% 224.01/30.87 | | | | $i(all_2168_0) & $i(all_2168_1) & ~ hBOOL(all_2168_0)
% 224.01/30.87 | | | |
% 224.01/30.87 | | | | ALPHA: (302) implies:
% 224.01/30.87 | | | | (303) hAPP_f1378282496l_bool(all_2168_1, all_1601_1) = all_2168_0
% 224.01/30.87 | | | | (304) hoare_512830354_state(bot_bo784226126e_bool) = all_2168_1
% 224.01/30.87 | | | |
% 224.01/30.87 | | | | DELTA: instantiating (284) with fresh symbols all_2172_0, all_2172_1
% 224.01/30.87 | | | | gives:
% 224.01/30.87 | | | | (305) hoare_512830354_state(bot_bo784226126e_bool) = all_2172_1 &
% 224.01/30.87 | | | | hAPP_f1378282496l_bool(all_2172_1, all_1938_1) = all_2172_0 &
% 224.01/30.87 | | | | $i(all_2172_0) & $i(all_2172_1) & ~ hBOOL(all_2172_0)
% 224.01/30.87 | | | |
% 224.01/30.87 | | | | ALPHA: (305) implies:
% 224.01/30.87 | | | | (306) hoare_512830354_state(bot_bo784226126e_bool) = all_2172_1
% 224.01/30.87 | | | |
% 224.01/30.87 | | | | DELTA: instantiating (279) with fresh symbols all_2231_0, all_2231_1
% 224.01/30.87 | | | | gives:
% 224.01/30.87 | | | | (307) ( ~ hBOOL(all_1936_2) | (all_2231_0 = all_1253_1 &
% 224.01/30.87 | | | | hAPP_f1388330588e_bool(semila278973382e_bool, all_1936_4) =
% 224.01/30.87 | | | | all_2231_1 & hAPP_f759274231e_bool(all_2231_1, all_1253_1)
% 224.01/30.87 | | | | = all_1253_1 & $i(all_2231_1))) & (hBOOL(all_1936_2) | ( ~
% 224.01/30.87 | | | | (all_2231_0 = all_1253_1) &
% 224.01/30.87 | | | | hAPP_f1388330588e_bool(semila278973382e_bool, all_1936_4) =
% 224.01/30.87 | | | | all_2231_1 & hAPP_f759274231e_bool(all_2231_1, all_1253_1)
% 224.01/30.87 | | | | = all_2231_0 & $i(all_2231_0) & $i(all_2231_1)))
% 224.01/30.87 | | | |
% 224.01/30.87 | | | | ALPHA: (307) implies:
% 224.01/30.87 | | | | (308) ~ hBOOL(all_1936_2) | (all_2231_0 = all_1253_1 &
% 224.01/30.87 | | | | hAPP_f1388330588e_bool(semila278973382e_bool, all_1936_4) =
% 224.01/30.87 | | | | all_2231_1 & hAPP_f759274231e_bool(all_2231_1, all_1253_1) =
% 224.01/30.87 | | | | all_1253_1 & $i(all_2231_1))
% 224.01/30.87 | | | |
% 224.01/30.87 | | | | REDUCE: (287), (299) imply:
% 224.01/30.87 | | | | (309) hAPP_f806699093e_bool(all_1601_2, all_1601_1) = all_2158_1
% 224.01/30.87 | | | |
% 224.01/30.87 | | | | REDUCE: (227), (287) imply:
% 224.01/30.87 | | | | (310) hAPP_f806699093e_bool(all_1601_2, all_1601_1) = all_1601_1
% 224.01/30.87 | | | |
% 224.01/30.87 | | | | REDUCE: (287), (296) imply:
% 224.01/30.87 | | | | (311) hAPP_f1378282496l_bool(all_2154_1, all_1601_1) = all_2154_0
% 224.01/30.87 | | | |
% 224.01/30.87 | | | | BETA: splitting (308) gives:
% 224.01/30.87 | | | |
% 224.01/30.87 | | | | Case 1:
% 224.01/30.87 | | | | |
% 224.01/30.87 | | | | | (312) ~ hBOOL(all_1936_2)
% 224.01/30.87 | | | | |
% 224.01/30.87 | | | | | PRED_UNIFY: (254), (312) imply:
% 224.01/30.87 | | | | | (313) $false
% 224.01/30.88 | | | | |
% 224.01/30.88 | | | | | CLOSE: (313) is inconsistent.
% 224.01/30.88 | | | | |
% 224.01/30.88 | | | | Case 2:
% 224.01/30.88 | | | | |
% 224.01/30.88 | | | | |
% 224.01/30.88 | | | | | GROUND_INST: instantiating (35) with all_1454_0, all_2168_1,
% 224.01/30.88 | | | | | bot_bo784226126e_bool, simplifying with (74), (304)
% 224.01/30.88 | | | | | gives:
% 224.01/30.88 | | | | | (314) all_2168_1 = all_1454_0
% 224.01/30.88 | | | | |
% 224.01/30.88 | | | | | GROUND_INST: instantiating (35) with all_2154_1, all_2168_1,
% 224.01/30.88 | | | | | bot_bo784226126e_bool, simplifying with (297), (304)
% 224.01/30.88 | | | | | gives:
% 224.01/30.88 | | | | | (315) all_2168_1 = all_2154_1
% 224.01/30.88 | | | | |
% 224.01/30.88 | | | | | GROUND_INST: instantiating (35) with all_2154_1, all_2172_1,
% 224.01/30.88 | | | | | bot_bo784226126e_bool, simplifying with (297), (306)
% 224.01/30.88 | | | | | gives:
% 224.01/30.88 | | | | | (316) all_2172_1 = all_2154_1
% 224.01/30.88 | | | | |
% 224.01/30.88 | | | | | GROUND_INST: instantiating (35) with all_2148_1, all_2172_1,
% 224.01/30.88 | | | | | bot_bo784226126e_bool, simplifying with (293), (306)
% 224.01/30.88 | | | | | gives:
% 224.01/30.88 | | | | | (317) all_2172_1 = all_2148_1
% 224.01/30.88 | | | | |
% 224.01/30.88 | | | | | GROUND_INST: instantiating (41) with all_1601_1, all_2158_1,
% 224.01/30.88 | | | | | all_1601_1, all_1601_2, simplifying with (309), (310)
% 224.01/30.88 | | | | | gives:
% 224.01/30.88 | | | | | (318) all_2158_1 = all_1601_1
% 224.01/30.88 | | | | |
% 224.01/30.88 | | | | | GROUND_INST: instantiating (41) with all_2158_1, all_2164_1,
% 224.01/30.88 | | | | | all_1601_1, all_1601_2, simplifying with (301), (309)
% 224.01/30.88 | | | | | gives:
% 224.01/30.88 | | | | | (319) all_2164_1 = all_2158_1
% 224.01/30.88 | | | | |
% 224.01/30.88 | | | | | GROUND_INST: instantiating (41) with all_2146_1, all_2164_1,
% 224.01/30.88 | | | | | all_1601_1, all_1601_2, simplifying with (291), (301)
% 224.01/30.88 | | | | | gives:
% 224.01/30.88 | | | | | (320) all_2164_1 = all_2146_1
% 224.01/30.88 | | | | |
% 224.01/30.88 | | | | | COMBINE_EQS: (316), (317) imply:
% 224.01/30.88 | | | | | (321) all_2154_1 = all_2148_1
% 224.01/30.88 | | | | |
% 224.01/30.88 | | | | | SIMP: (321) implies:
% 224.01/30.88 | | | | | (322) all_2154_1 = all_2148_1
% 224.01/30.88 | | | | |
% 224.01/30.88 | | | | | COMBINE_EQS: (314), (315) imply:
% 224.01/30.88 | | | | | (323) all_2154_1 = all_1454_0
% 224.01/30.88 | | | | |
% 224.01/30.88 | | | | | SIMP: (323) implies:
% 224.01/30.88 | | | | | (324) all_2154_1 = all_1454_0
% 224.01/30.88 | | | | |
% 224.01/30.88 | | | | | COMBINE_EQS: (319), (320) imply:
% 224.01/30.88 | | | | | (325) all_2158_1 = all_2146_1
% 224.01/30.88 | | | | |
% 224.01/30.88 | | | | | SIMP: (325) implies:
% 224.01/30.88 | | | | | (326) all_2158_1 = all_2146_1
% 224.01/30.88 | | | | |
% 224.01/30.88 | | | | | COMBINE_EQS: (318), (326) imply:
% 224.01/30.88 | | | | | (327) all_2146_1 = all_1601_1
% 224.01/30.88 | | | | |
% 224.01/30.88 | | | | | SIMP: (327) implies:
% 224.01/30.88 | | | | | (328) all_2146_1 = all_1601_1
% 224.01/30.88 | | | | |
% 224.01/30.88 | | | | | COMBINE_EQS: (322), (324) imply:
% 224.01/30.88 | | | | | (329) all_2148_1 = all_1454_0
% 224.01/30.88 | | | | |
% 224.01/30.88 | | | | | REDUCE: (303), (314) imply:
% 224.01/30.88 | | | | | (330) hAPP_f1378282496l_bool(all_1454_0, all_1601_1) = all_2168_0
% 224.01/30.88 | | | | |
% 224.01/30.88 | | | | | REDUCE: (311), (324) imply:
% 224.01/30.88 | | | | | (331) hAPP_f1378282496l_bool(all_1454_0, all_1601_1) = all_2154_0
% 224.01/30.88 | | | | |
% 224.01/30.88 | | | | | REDUCE: (290), (328) imply:
% 224.01/30.88 | | | | | (332) hAPP_f1378282496l_bool(all_1454_0, all_1601_1) = all_2146_0
% 224.01/30.88 | | | | |
% 224.01/30.88 | | | | | GROUND_INST: instantiating (40) with all_1932_0, all_2168_0,
% 224.01/30.88 | | | | | all_1601_1, all_1454_0, simplifying with (276), (330)
% 224.01/30.88 | | | | | gives:
% 224.01/30.88 | | | | | (333) all_2168_0 = all_1932_0
% 224.01/30.88 | | | | |
% 224.01/30.88 | | | | | GROUND_INST: instantiating (40) with all_2154_0, all_2168_0,
% 224.01/30.88 | | | | | all_1601_1, all_1454_0, simplifying with (330), (331)
% 224.01/30.88 | | | | | gives:
% 224.01/30.88 | | | | | (334) all_2168_0 = all_2154_0
% 224.01/30.88 | | | | |
% 224.01/30.88 | | | | | GROUND_INST: instantiating (40) with all_2146_0, all_2168_0,
% 224.01/30.88 | | | | | all_1601_1, all_1454_0, simplifying with (330), (332)
% 224.01/30.88 | | | | | gives:
% 224.01/30.88 | | | | | (335) all_2168_0 = all_2146_0
% 224.01/30.88 | | | | |
% 224.01/30.88 | | | | | COMBINE_EQS: (334), (335) imply:
% 224.01/30.88 | | | | | (336) all_2154_0 = all_2146_0
% 224.01/30.88 | | | | |
% 224.01/30.88 | | | | | COMBINE_EQS: (333), (334) imply:
% 224.01/30.88 | | | | | (337) all_2154_0 = all_1932_0
% 224.01/30.88 | | | | |
% 224.01/30.88 | | | | | COMBINE_EQS: (336), (337) imply:
% 224.01/30.88 | | | | | (338) all_2146_0 = all_1932_0
% 224.01/30.88 | | | | |
% 224.01/30.88 | | | | | REDUCE: (295), (337) imply:
% 224.01/30.88 | | | | | (339) ~ hBOOL(all_1932_0)
% 224.01/30.88 | | | | |
% 224.01/30.88 | | | | | PRED_UNIFY: (248), (339) imply:
% 224.01/30.88 | | | | | (340) $false
% 224.01/30.88 | | | | |
% 224.01/30.88 | | | | | CLOSE: (340) is inconsistent.
% 224.01/30.88 | | | | |
% 224.01/30.88 | | | | End of split
% 224.01/30.88 | | | |
% 224.01/30.88 | | | Case 2:
% 224.01/30.88 | | | |
% 224.01/30.88 | | | | (341) hAPP_com_bool(wt, y) = all_1938_8 & $i(all_1938_8) & ~
% 224.01/30.88 | | | | hBOOL(all_1938_8)
% 224.01/30.88 | | | |
% 224.01/30.88 | | | | ALPHA: (341) implies:
% 224.01/30.88 | | | | (342) ~ hBOOL(all_1938_8)
% 224.01/30.88 | | | | (343) hAPP_com_bool(wt, y) = all_1938_8
% 224.01/30.88 | | | |
% 224.01/30.88 | | | | GROUND_INST: instantiating (39) with all_1881_0, all_1938_8, y, wt,
% 224.01/30.88 | | | | simplifying with (214), (343) gives:
% 224.01/30.88 | | | | (344) all_1938_8 = all_1881_0
% 224.01/30.88 | | | |
% 224.01/30.88 | | | | REDUCE: (342), (344) imply:
% 224.01/30.88 | | | | (345) ~ hBOOL(all_1881_0)
% 224.01/30.88 | | | |
% 224.01/30.88 | | | | PRED_UNIFY: (213), (345) imply:
% 224.01/30.88 | | | | (346) $false
% 224.01/30.88 | | | |
% 224.01/30.88 | | | | CLOSE: (346) is inconsistent.
% 224.01/30.88 | | | |
% 224.01/30.88 | | | End of split
% 224.01/30.88 | | |
% 224.01/30.88 | | Case 2:
% 224.01/30.88 | | |
% 224.01/30.88 | | | (347) hAPP_f1378282496l_bool(finite694102371_state, fa) = all_1936_5 &
% 224.01/30.88 | | | $i(all_1936_5) & ~ hBOOL(all_1936_5)
% 224.01/30.88 | | |
% 224.01/30.88 | | | ALPHA: (347) implies:
% 224.01/30.88 | | | (348) ~ hBOOL(all_1936_5)
% 224.01/30.88 | | | (349) hAPP_f1378282496l_bool(finite694102371_state, fa) = all_1936_5
% 224.01/30.88 | | |
% 224.01/30.88 | | | GROUND_INST: instantiating (40) with all_1197_0, all_1936_5, fa,
% 224.01/30.88 | | | finite694102371_state, simplifying with (49), (349) gives:
% 224.01/30.88 | | | (350) all_1936_5 = all_1197_0
% 224.01/30.88 | | |
% 224.01/30.88 | | | REDUCE: (348), (350) imply:
% 224.01/30.88 | | | (351) ~ hBOOL(all_1197_0)
% 224.01/30.88 | | |
% 224.01/30.88 | | | PRED_UNIFY: (48), (351) imply:
% 224.01/30.88 | | | (352) $false
% 224.01/30.88 | | |
% 224.01/30.88 | | | CLOSE: (352) is inconsistent.
% 224.01/30.88 | | |
% 224.01/30.88 | | End of split
% 224.01/30.88 | |
% 224.01/30.88 | Case 2:
% 224.01/30.88 | |
% 224.01/30.88 | | (353) hAPP_com_bool(wt, y) = all_1932_3 & $i(all_1932_3) & ~
% 224.01/30.88 | | hBOOL(all_1932_3)
% 224.01/30.88 | |
% 224.01/30.88 | | ALPHA: (353) implies:
% 224.01/30.89 | | (354) ~ hBOOL(all_1932_3)
% 224.01/30.89 | | (355) hAPP_com_bool(wt, y) = all_1932_3
% 224.01/30.89 | |
% 224.01/30.89 | | GROUND_INST: instantiating (39) with all_1881_0, all_1932_3, y, wt,
% 224.01/30.89 | | simplifying with (214), (355) gives:
% 224.01/30.89 | | (356) all_1932_3 = all_1881_0
% 224.01/30.89 | |
% 224.01/30.89 | | REDUCE: (354), (356) imply:
% 224.01/30.89 | | (357) ~ hBOOL(all_1881_0)
% 224.01/30.89 | |
% 224.01/30.89 | | PRED_UNIFY: (213), (357) imply:
% 224.01/30.89 | | (358) $false
% 224.01/30.89 | |
% 224.01/30.89 | | CLOSE: (358) is inconsistent.
% 224.01/30.89 | |
% 224.01/30.89 | End of split
% 224.01/30.89 |
% 224.01/30.89 End of proof
% 224.01/30.89 % SZS output end Proof for theBenchmark
% 224.01/30.89
% 224.01/30.89 30275ms
%------------------------------------------------------------------------------