TSTP Solution File: SWW474_1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SWW474_1 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n031.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 00:50:20 EDT 2023
% Result : Theorem 36.28s 5.65s
% Output : Proof 79.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SWW474_1 : TPTP v8.1.2. Released v5.3.0.
% 0.11/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.35 % Computer : n031.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 20:55:09 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.62 ________ _____
% 0.21/0.62 ___ __ \_________(_)________________________________
% 0.21/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.21/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.21/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.21/0.62
% 0.21/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.21/0.62 (2023-06-19)
% 0.21/0.62
% 0.21/0.62 (c) Philipp Rümmer, 2009-2023
% 0.21/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.21/0.62 Amanda Stjerna.
% 0.21/0.62 Free software under BSD-3-Clause.
% 0.21/0.62
% 0.21/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.21/0.62
% 0.21/0.62 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.21/0.63 Running up to 7 provers in parallel.
% 0.21/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.21/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.21/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.21/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.21/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.21/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.21/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 10.34/2.19 Prover 4: Preprocessing ...
% 10.85/2.21 Prover 1: Preprocessing ...
% 10.85/2.23 Prover 0: Preprocessing ...
% 10.85/2.23 Prover 5: Preprocessing ...
% 10.85/2.23 Prover 2: Preprocessing ...
% 10.85/2.23 Prover 6: Preprocessing ...
% 10.85/2.23 Prover 3: Preprocessing ...
% 24.97/4.12 Prover 1: Warning: ignoring some quantifiers
% 26.93/4.35 Prover 1: Constructing countermodel ...
% 27.26/4.36 Prover 3: Warning: ignoring some quantifiers
% 27.26/4.43 Prover 6: Proving ...
% 27.26/4.44 Prover 3: Constructing countermodel ...
% 28.60/4.55 Prover 4: Warning: ignoring some quantifiers
% 29.23/4.69 Prover 0: Proving ...
% 30.07/4.78 Prover 5: Proving ...
% 30.54/4.81 Prover 4: Constructing countermodel ...
% 36.28/5.64 Prover 3: proved (4996ms)
% 36.28/5.64
% 36.28/5.65 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 36.28/5.65
% 36.28/5.65 Prover 6: stopped
% 36.99/5.66 Prover 0: stopped
% 36.99/5.67 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 36.99/5.67 Prover 5: stopped
% 36.99/5.68 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 36.99/5.68 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 36.99/5.68 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 36.99/5.69 Prover 2: Proving ...
% 36.99/5.69 Prover 2: stopped
% 36.99/5.69 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 41.16/6.26 Prover 8: Preprocessing ...
% 41.62/6.28 Prover 10: Preprocessing ...
% 41.62/6.29 Prover 13: Preprocessing ...
% 41.62/6.30 Prover 11: Preprocessing ...
% 41.62/6.31 Prover 7: Preprocessing ...
% 47.79/7.19 Prover 10: Warning: ignoring some quantifiers
% 47.79/7.22 Prover 8: Warning: ignoring some quantifiers
% 49.04/7.32 Prover 10: Constructing countermodel ...
% 49.04/7.32 Prover 8: Constructing countermodel ...
% 49.67/7.33 Prover 7: Warning: ignoring some quantifiers
% 50.05/7.44 Prover 13: Warning: ignoring some quantifiers
% 50.05/7.44 Prover 7: Constructing countermodel ...
% 50.73/7.50 Prover 13: Constructing countermodel ...
% 51.47/7.63 Prover 11: Warning: ignoring some quantifiers
% 52.32/7.70 Prover 11: Constructing countermodel ...
% 74.40/10.60 Prover 13: stopped
% 74.40/10.60 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 76.80/10.87 Prover 16: Preprocessing ...
% 76.80/10.90 Prover 1: Found proof (size 602)
% 76.80/10.90 Prover 1: proved (10259ms)
% 76.80/10.90 Prover 10: stopped
% 76.80/10.90 Prover 11: stopped
% 77.10/10.91 Prover 8: stopped
% 77.10/10.91 Prover 7: stopped
% 77.10/10.91 Prover 4: stopped
% 77.60/11.03 Prover 16: stopped
% 77.60/11.03
% 77.60/11.03 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 77.60/11.03
% 77.87/11.13 % SZS output start Proof for theBenchmark
% 77.87/11.14 Assumptions after simplification:
% 77.87/11.14 ---------------------------------
% 77.87/11.14
% 77.87/11.14 (conj_0)
% 78.15/11.17 hBOOL(hoare_1310879719gleton) = 0 & bool(hoare_1310879719gleton)
% 78.15/11.17
% 78.15/11.17 (conj_1)
% 78.15/11.17 hBOOL(wT_bodies) = 0 & bool(wT_bodies)
% 78.15/11.17
% 78.15/11.17 (conj_3)
% 78.15/11.17 fun_Ho1489168363l_bool(member591555156_state) & fun_Ho734851753e_bool(fa) &
% 78.15/11.17 fun_co1814942666_state(hoare_Mirabelle_MGT) & com(y) & ? [v0:
% 78.15/11.17 hoare_1848483303_state] : ? [v1: fun_fu1783763359l_bool] : ? [v2: bool] :
% 78.15/11.17 ? [v3: int] : ( ~ (v3 = 0) & hAPP_H1199573897l_bool(member591555156_state, v0)
% 78.15/11.17 = v1 & hAPP_c379084956_state(hoare_Mirabelle_MGT, y) = v0 &
% 78.15/11.17 hAPP_f355887345l_bool(v1, fa) = v2 & hBOOL(v2) = v3 &
% 78.15/11.17 fun_fu1783763359l_bool(v1) & hoare_1848483303_state(v0) & bool(v2))
% 78.15/11.17
% 78.15/11.17 (conj_4)
% 78.15/11.17 fun_fu1478462177l_bool(ord_le1119700979e_bool) & fun_option_com_com(the_com) &
% 78.15/11.17 fun_Ho734851753e_bool(fa) & fun_pname_option_com(body) &
% 78.15/11.17 fun_co1814942666_state(hoare_Mirabelle_MGT) & ? [v0: fun_fu1783763359l_bool]
% 78.15/11.17 : ? [v1: fun_pname_com] : ? [v2: fun_pn447269700_state] : ? [v3:
% 78.15/11.17 fun_pname_bool] : ? [v4: fun_Ho734851753e_bool] : ? [v5: bool] :
% 78.15/11.17 (cOMBB_573322273_pname(hoare_Mirabelle_MGT, v1) = v2 &
% 78.15/11.17 cOMBB_923936821_pname(the_com, body) = v1 & dom_pname_com(body) = v3 &
% 78.15/11.17 image_1256224870_state(v2, v3) = v4 &
% 78.15/11.17 hAPP_f15397171l_bool(ord_le1119700979e_bool, fa) = v0 &
% 78.15/11.17 hAPP_f355887345l_bool(v0, v4) = v5 & hBOOL(v5) = 0 &
% 78.15/11.17 fun_fu1783763359l_bool(v0) & fun_Ho734851753e_bool(v4) &
% 78.15/11.17 fun_pn447269700_state(v2) & fun_pname_bool(v3) & fun_pname_com(v1) &
% 78.15/11.17 bool(v5))
% 78.15/11.17
% 78.15/11.17 (conj_5)
% 78.15/11.18 fun_pname_option_com(body) & pname(pn) & com(y) & ? [v0: option_com] :
% 78.15/11.18 (some_com(y) = v0 & hAPP_p799580910on_com(body, pn) = v0 & option_com(v0))
% 78.15/11.18
% 78.15/11.18 (conj_6)
% 78.15/11.18 fun_Ho734851753e_bool(fa) & fun_pname_option_com(body) & fun_pname_com(body_1)
% 78.15/11.18 & fun_co1814942666_state(hoare_Mirabelle_MGT) & ? [v0: fun_pn447269700_state]
% 78.15/11.18 : ? [v1: fun_pname_bool] : ? [v2: fun_Ho734851753e_bool] : ? [v3:
% 78.15/11.18 fun_fu1783763359l_bool] : ? [v4: bool] :
% 78.15/11.18 (cOMBB_573322273_pname(hoare_Mirabelle_MGT, body_1) = v0 & dom_pname_com(body)
% 78.15/11.18 = v1 & image_1256224870_state(v0, v1) = v2 & hoare_1193527299_state(v2) = v3
% 78.15/11.18 & hAPP_f355887345l_bool(v3, fa) = v4 & hBOOL(v4) = 0 &
% 78.15/11.18 fun_fu1783763359l_bool(v3) & fun_Ho734851753e_bool(v2) &
% 78.15/11.18 fun_pn447269700_state(v0) & fun_pname_bool(v1) & bool(v4))
% 78.15/11.18
% 78.15/11.18 (conj_7)
% 78.15/11.18 fun_Ho734851753e_bool(bot_bo454148287e_bool) & fun_pname_option_com(body) &
% 78.15/11.18 fun_pname_com(body_1) & fun_co1814942666_state(hoare_Mirabelle_MGT) & com(y) &
% 78.15/11.18 ? [v0: fun_pn447269700_state] : ? [v1: fun_pname_bool] : ? [v2:
% 78.15/11.18 fun_Ho734851753e_bool] : ? [v3: fun_fu1783763359l_bool] : ? [v4:
% 78.15/11.18 hoare_1848483303_state] : ? [v5: fun_Ho734851753e_bool] : ? [v6: bool] :
% 78.15/11.18 ? [v7: int] : ( ~ (v7 = 0) & cOMBB_573322273_pname(hoare_Mirabelle_MGT,
% 78.15/11.18 body_1) = v0 & dom_pname_com(body) = v1 & image_1256224870_state(v0, v1) =
% 78.15/11.18 v2 & hAPP_c379084956_state(hoare_Mirabelle_MGT, y) = v4 &
% 78.15/11.18 insert668001005_state(v4, bot_bo454148287e_bool) = v5 &
% 78.15/11.18 hoare_1193527299_state(v2) = v3 & hAPP_f355887345l_bool(v3, v5) = v6 &
% 78.15/11.18 hBOOL(v6) = v7 & fun_fu1783763359l_bool(v3) & fun_Ho734851753e_bool(v5) &
% 78.15/11.18 fun_Ho734851753e_bool(v2) & fun_pn447269700_state(v0) & fun_pname_bool(v1) &
% 78.15/11.18 hoare_1848483303_state(v4) & bool(v6))
% 78.15/11.18
% 78.15/11.18 (fact_0_empty)
% 78.15/11.18 fun_Ho734851753e_bool(bot_bo454148287e_bool) & ! [v0: fun_Ho734851753e_bool]
% 78.15/11.18 : ! [v1: fun_fu1783763359l_bool] : ( ~ (hoare_1193527299_state(v0) = v1) | ~
% 78.15/11.18 fun_Ho734851753e_bool(v0) | ? [v2: bool] : (hAPP_f355887345l_bool(v1,
% 78.15/11.18 bot_bo454148287e_bool) = v2 & hBOOL(v2) = 0 & bool(v2)))
% 78.15/11.18
% 78.15/11.18 (fact_103_MGF)
% 78.15/11.19 fun_Ho734851753e_bool(bot_bo454148287e_bool) &
% 78.15/11.19 fun_co1814942666_state(hoare_Mirabelle_MGT) & bool(hoare_1310879719gleton) &
% 78.15/11.19 bool(wT_bodies) & ? [v0: any] : ? [v1: any] : ? [v2:
% 78.15/11.19 fun_fu1783763359l_bool] : (hoare_1193527299_state(bot_bo454148287e_bool) =
% 78.15/11.19 v2 & hBOOL(hoare_1310879719gleton) = v0 & hBOOL(wT_bodies) = v1 &
% 78.15/11.19 fun_fu1783763359l_bool(v2) & ! [v3: com] : ! [v4: hoare_1848483303_state]
% 78.15/11.19 : ( ~ (v1 = 0) | ~ (v0 = 0) | ~
% 78.15/11.19 (hAPP_c379084956_state(hoare_Mirabelle_MGT, v3) = v4) | ~ com(v3) | ?
% 78.15/11.19 [v5: bool] : ? [v6: any] : ? [v7: fun_Ho734851753e_bool] : ? [v8: bool]
% 78.15/11.19 : ? [v9: any] : (wt(v3) = v5 & insert668001005_state(v4,
% 78.15/11.19 bot_bo454148287e_bool) = v7 & hAPP_f355887345l_bool(v2, v7) = v8 &
% 78.15/11.19 hBOOL(v8) = v9 & hBOOL(v5) = v6 & fun_Ho734851753e_bool(v7) & bool(v8) &
% 78.15/11.19 bool(v5) & ( ~ (v6 = 0) | v9 = 0))))
% 78.15/11.19
% 78.15/11.19 (fact_104_emptyE)
% 78.15/11.19 fun_Ho1489168363l_bool(member591555156_state) &
% 78.15/11.19 fun_Ho734851753e_bool(bot_bo454148287e_bool) & ! [v0: hoare_1848483303_state]
% 78.15/11.19 : ! [v1: fun_fu1783763359l_bool] : ( ~
% 78.15/11.19 (hAPP_H1199573897l_bool(member591555156_state, v0) = v1) | ~
% 78.15/11.19 hoare_1848483303_state(v0) | ? [v2: bool] : ? [v3: int] : ( ~ (v3 = 0) &
% 78.15/11.19 hAPP_f355887345l_bool(v1, bot_bo454148287e_bool) = v2 & hBOOL(v2) = v3 &
% 78.15/11.19 bool(v2)))
% 78.15/11.19
% 78.15/11.19 (fact_120_subsetD)
% 78.15/11.19 fun_fu1478462177l_bool(ord_le1119700979e_bool) &
% 78.15/11.19 fun_Ho1489168363l_bool(member591555156_state) & ! [v0:
% 78.15/11.19 hoare_1848483303_state] : ! [v1: fun_Ho734851753e_bool] : ! [v2:
% 78.15/11.20 fun_Ho734851753e_bool] : ! [v3: fun_fu1783763359l_bool] : ! [v4: bool] :
% 78.15/11.20 ! [v5: bool] : ( ~ (hAPP_H1199573897l_bool(member591555156_state, v0) = v3) |
% 78.15/11.20 ~ (hAPP_f355887345l_bool(v3, v2) = v5) | ~ (hAPP_f355887345l_bool(v3, v1) =
% 78.15/11.20 v4) | ~ fun_Ho734851753e_bool(v2) | ~ fun_Ho734851753e_bool(v1) | ~
% 78.15/11.20 hoare_1848483303_state(v0) | ? [v6: fun_fu1783763359l_bool] : ? [v7: bool]
% 78.15/11.20 : ? [v8: any] : ? [v9: any] : ? [v10: any] :
% 78.15/11.20 (hAPP_f15397171l_bool(ord_le1119700979e_bool, v1) = v6 &
% 78.15/11.20 hAPP_f355887345l_bool(v6, v2) = v7 & hBOOL(v7) = v8 & hBOOL(v5) = v10 &
% 78.15/11.20 hBOOL(v4) = v9 & fun_fu1783763359l_bool(v6) & bool(v7) & ( ~ (v9 = 0) | ~
% 78.15/11.20 (v8 = 0) | v10 = 0)))
% 78.15/11.20
% 78.15/11.20 (fact_147_empty__iff)
% 78.15/11.20 fun_Ho1489168363l_bool(member591555156_state) &
% 78.15/11.20 fun_Ho734851753e_bool(bot_bo454148287e_bool) & ! [v0: hoare_1848483303_state]
% 78.15/11.20 : ! [v1: fun_fu1783763359l_bool] : ( ~
% 78.15/11.20 (hAPP_H1199573897l_bool(member591555156_state, v0) = v1) | ~
% 78.15/11.20 hoare_1848483303_state(v0) | ? [v2: bool] : ? [v3: int] : ( ~ (v3 = 0) &
% 78.15/11.20 hAPP_f355887345l_bool(v1, bot_bo454148287e_bool) = v2 & hBOOL(v2) = v3 &
% 78.15/11.20 bool(v2)))
% 78.15/11.20
% 78.15/11.20 (fact_166_empty__def)
% 78.15/11.20 fun_Ho734851753e_bool(bot_bo454148287e_bool) & bool(fFalse) & ? [v0:
% 78.15/11.20 fun_Ho734851753e_bool] : (cOMBK_2059960192_state(fFalse) = v0 &
% 78.15/11.20 collec1708318610_state(v0) = bot_bo454148287e_bool &
% 78.15/11.20 fun_Ho734851753e_bool(v0))
% 78.15/11.20
% 78.15/11.20 (fact_169_insert__absorb)
% 78.15/11.20 fun_Ho1489168363l_bool(member591555156_state) & ! [v0:
% 78.15/11.20 hoare_1848483303_state] : ! [v1: fun_Ho734851753e_bool] : ! [v2:
% 78.15/11.20 fun_fu1783763359l_bool] : ! [v3: bool] : ( ~
% 78.15/11.20 (hAPP_H1199573897l_bool(member591555156_state, v0) = v2) | ~
% 78.15/11.20 (hAPP_f355887345l_bool(v2, v1) = v3) | ~ fun_Ho734851753e_bool(v1) | ~
% 78.15/11.20 hoare_1848483303_state(v0) | ? [v4: any] : ? [v5: fun_Ho734851753e_bool] :
% 78.15/11.20 (insert668001005_state(v0, v1) = v5 & hBOOL(v3) = v4 &
% 78.15/11.20 fun_Ho734851753e_bool(v5) & ( ~ (v4 = 0) | v5 = v1)))
% 78.15/11.20
% 78.15/11.20 (fact_173_insert__ident)
% 78.15/11.20 fun_Ho1489168363l_bool(member591555156_state) & ! [v0: fun_Ho734851753e_bool]
% 78.15/11.20 : ! [v1: hoare_1848483303_state] : ! [v2: fun_Ho734851753e_bool] : ! [v3:
% 78.15/11.20 fun_fu1783763359l_bool] : ! [v4: bool] : ! [v5: bool] : ( ~
% 78.15/11.20 (hAPP_H1199573897l_bool(member591555156_state, v1) = v3) | ~
% 78.15/11.20 (hAPP_f355887345l_bool(v3, v2) = v4) | ~ (hAPP_f355887345l_bool(v3, v0) =
% 78.15/11.20 v5) | ~ fun_Ho734851753e_bool(v2) | ~ fun_Ho734851753e_bool(v0) | ~
% 78.15/11.20 hoare_1848483303_state(v1) | ? [v6: any] : ? [v7: any] : ? [v8:
% 78.15/11.20 fun_Ho734851753e_bool] : ? [v9: fun_Ho734851753e_bool] :
% 78.15/11.20 (insert668001005_state(v1, v2) = v8 & insert668001005_state(v1, v0) = v9 &
% 78.15/11.20 hBOOL(v5) = v7 & hBOOL(v4) = v6 & fun_Ho734851753e_bool(v9) &
% 78.15/11.20 fun_Ho734851753e_bool(v8) & (v7 = 0 | v6 = 0 | (( ~ (v9 = v8) | v2 = v0) &
% 78.15/11.20 ( ~ (v2 = v0) | v9 = v8)))))
% 78.15/11.20
% 78.15/11.20 (fact_181_insert__absorb2)
% 78.15/11.21 ! [v0: hoare_1848483303_state] : ! [v1: fun_Ho734851753e_bool] : ! [v2:
% 78.15/11.21 fun_Ho734851753e_bool] : ! [v3: fun_Ho734851753e_bool] : (v3 = v2 | ~
% 78.15/11.21 (insert668001005_state(v0, v2) = v3) | ~ (insert668001005_state(v0, v1) =
% 78.15/11.21 v2) | ~ fun_Ho734851753e_bool(v1) | ~ hoare_1848483303_state(v0))
% 78.15/11.21
% 78.15/11.21 (fact_195_subset__trans)
% 78.15/11.21 fun_fu1478462177l_bool(ord_le1119700979e_bool) & ! [v0:
% 78.15/11.21 fun_Ho734851753e_bool] : ! [v1: fun_Ho734851753e_bool] : ! [v2:
% 78.15/11.21 fun_Ho734851753e_bool] : ! [v3: fun_fu1783763359l_bool] : ! [v4: bool] :
% 78.15/11.21 ! [v5: bool] : ( ~ (hAPP_f15397171l_bool(ord_le1119700979e_bool, v1) = v3) |
% 78.15/11.21 ~ (hAPP_f355887345l_bool(v3, v2) = v4) | ~ (hAPP_f355887345l_bool(v3, v0) =
% 78.15/11.21 v5) | ~ fun_Ho734851753e_bool(v2) | ~ fun_Ho734851753e_bool(v1) | ~
% 78.15/11.21 fun_Ho734851753e_bool(v0) | ? [v6: any] : ? [v7: fun_fu1783763359l_bool] :
% 78.15/11.21 ? [v8: bool] : ? [v9: any] : ? [v10: any] :
% 78.15/11.21 (hAPP_f15397171l_bool(ord_le1119700979e_bool, v2) = v7 &
% 78.15/11.21 hAPP_f355887345l_bool(v7, v0) = v8 & hBOOL(v8) = v9 & hBOOL(v5) = v10 &
% 78.15/11.21 hBOOL(v4) = v6 & fun_fu1783763359l_bool(v7) & bool(v8) & ( ~ (v9 = 0) | ~
% 78.15/11.21 (v6 = 0) | v10 = 0)))
% 78.15/11.21
% 78.15/11.21 (fact_197_set__mp)
% 78.15/11.21 fun_fu1478462177l_bool(ord_le1119700979e_bool) &
% 78.15/11.21 fun_Ho1489168363l_bool(member591555156_state) & ! [v0:
% 78.15/11.21 hoare_1848483303_state] : ! [v1: fun_Ho734851753e_bool] : ! [v2:
% 78.15/11.21 fun_Ho734851753e_bool] : ! [v3: fun_fu1783763359l_bool] : ! [v4: bool] :
% 78.15/11.21 ! [v5: bool] : ( ~ (hAPP_H1199573897l_bool(member591555156_state, v0) = v3) |
% 78.15/11.21 ~ (hAPP_f355887345l_bool(v3, v2) = v5) | ~ (hAPP_f355887345l_bool(v3, v1) =
% 78.15/11.21 v4) | ~ fun_Ho734851753e_bool(v2) | ~ fun_Ho734851753e_bool(v1) | ~
% 78.15/11.21 hoare_1848483303_state(v0) | ? [v6: fun_fu1783763359l_bool] : ? [v7: bool]
% 78.15/11.21 : ? [v8: any] : ? [v9: any] : ? [v10: any] :
% 78.15/11.21 (hAPP_f15397171l_bool(ord_le1119700979e_bool, v1) = v6 &
% 78.15/11.21 hAPP_f355887345l_bool(v6, v2) = v7 & hBOOL(v7) = v8 & hBOOL(v5) = v10 &
% 78.15/11.21 hBOOL(v4) = v9 & fun_fu1783763359l_bool(v6) & bool(v7) & ( ~ (v9 = 0) | ~
% 78.15/11.21 (v8 = 0) | v10 = 0)))
% 78.15/11.21
% 78.15/11.21 (fact_199_set__rev__mp)
% 78.15/11.22 fun_fu1478462177l_bool(ord_le1119700979e_bool) &
% 78.15/11.22 fun_Ho1489168363l_bool(member591555156_state) & ! [v0: fun_Ho734851753e_bool]
% 78.15/11.22 : ! [v1: hoare_1848483303_state] : ! [v2: fun_Ho734851753e_bool] : ! [v3:
% 78.15/11.22 fun_fu1783763359l_bool] : ! [v4: bool] : ! [v5: bool] : ( ~
% 78.15/11.22 (hAPP_H1199573897l_bool(member591555156_state, v1) = v3) | ~
% 78.15/11.22 (hAPP_f355887345l_bool(v3, v2) = v4) | ~ (hAPP_f355887345l_bool(v3, v0) =
% 78.15/11.22 v5) | ~ fun_Ho734851753e_bool(v2) | ~ fun_Ho734851753e_bool(v0) | ~
% 78.15/11.22 hoare_1848483303_state(v1) | ? [v6: any] : ? [v7: fun_fu1783763359l_bool]
% 78.15/11.22 : ? [v8: bool] : ? [v9: any] : ? [v10: any] :
% 78.15/11.22 (hAPP_f15397171l_bool(ord_le1119700979e_bool, v2) = v7 &
% 78.15/11.22 hAPP_f355887345l_bool(v7, v0) = v8 & hBOOL(v8) = v9 & hBOOL(v5) = v10 &
% 78.15/11.22 hBOOL(v4) = v6 & fun_fu1783763359l_bool(v7) & bool(v8) & ( ~ (v9 = 0) | ~
% 78.15/11.22 (v6 = 0) | v10 = 0)))
% 78.15/11.22
% 78.15/11.22 (fact_1_asm)
% 78.15/11.22 fun_fu1478462177l_bool(ord_le1119700979e_bool) & ! [v0:
% 78.15/11.22 fun_Ho734851753e_bool] : ! [v1: fun_Ho734851753e_bool] : ! [v2:
% 78.15/11.22 fun_fu1783763359l_bool] : ! [v3: bool] : ( ~
% 78.15/11.22 (hAPP_f15397171l_bool(ord_le1119700979e_bool, v0) = v2) | ~
% 78.15/11.22 (hAPP_f355887345l_bool(v2, v1) = v3) | ~ fun_Ho734851753e_bool(v1) | ~
% 78.15/11.22 fun_Ho734851753e_bool(v0) | ? [v4: any] : ? [v5: fun_fu1783763359l_bool] :
% 78.15/11.22 ? [v6: bool] : ? [v7: any] : (hoare_1193527299_state(v1) = v5 &
% 78.15/11.22 hAPP_f355887345l_bool(v5, v0) = v6 & hBOOL(v6) = v7 & hBOOL(v3) = v4 &
% 78.15/11.22 fun_fu1783763359l_bool(v5) & bool(v6) & ( ~ (v4 = 0) | v7 = 0)))
% 78.15/11.22
% 78.15/11.22 (fact_201_in__mono)
% 78.15/11.22 fun_fu1478462177l_bool(ord_le1119700979e_bool) &
% 78.15/11.22 fun_Ho1489168363l_bool(member591555156_state) & ! [v0:
% 78.15/11.22 hoare_1848483303_state] : ! [v1: fun_Ho734851753e_bool] : ! [v2:
% 78.15/11.22 fun_Ho734851753e_bool] : ! [v3: fun_fu1783763359l_bool] : ! [v4: bool] :
% 78.15/11.22 ! [v5: bool] : ( ~ (hAPP_H1199573897l_bool(member591555156_state, v0) = v3) |
% 78.15/11.22 ~ (hAPP_f355887345l_bool(v3, v2) = v5) | ~ (hAPP_f355887345l_bool(v3, v1) =
% 78.15/11.22 v4) | ~ fun_Ho734851753e_bool(v2) | ~ fun_Ho734851753e_bool(v1) | ~
% 78.15/11.22 hoare_1848483303_state(v0) | ? [v6: fun_fu1783763359l_bool] : ? [v7: bool]
% 78.15/11.22 : ? [v8: any] : ? [v9: any] : ? [v10: any] :
% 78.15/11.22 (hAPP_f15397171l_bool(ord_le1119700979e_bool, v1) = v6 &
% 78.15/11.22 hAPP_f355887345l_bool(v6, v2) = v7 & hBOOL(v7) = v8 & hBOOL(v5) = v10 &
% 78.15/11.22 hBOOL(v4) = v9 & fun_fu1783763359l_bool(v6) & bool(v7) & ( ~ (v9 = 0) | ~
% 78.15/11.22 (v8 = 0) | v10 = 0)))
% 78.15/11.22
% 78.15/11.22 (fact_212_image__iff)
% 78.15/11.22 fun_Ho1489168363l_bool(member591555156_state) &
% 78.15/11.22 fun_pn422929397l_bool(member_pname) & ! [v0: hoare_1848483303_state] : !
% 78.15/11.22 [v1: fun_pn447269700_state] : ! [v2: fun_pname_bool] : ! [v3:
% 78.15/11.22 fun_fu1783763359l_bool] : ! [v4: fun_Ho734851753e_bool] : ! [v5: bool] : (
% 78.15/11.22 ~ (hAPP_H1199573897l_bool(member591555156_state, v0) = v3) | ~
% 78.15/11.22 (image_1256224870_state(v1, v2) = v4) | ~ (hAPP_f355887345l_bool(v3, v4) =
% 78.15/11.22 v5) | ~ fun_pn447269700_state(v1) | ~ fun_pname_bool(v2) | ~
% 78.15/11.22 hoare_1848483303_state(v0) | hBOOL(v5) = 0 | ! [v6: pname] : ! [v7:
% 78.15/11.22 fun_fu1430349052l_bool] : ! [v8: bool] : ( ~
% 78.15/11.22 (hAPP_p338031245l_bool(member_pname, v6) = v7) | ~
% 78.15/11.23 (hAPP_f1664156314l_bool(v7, v2) = v8) | ~ pname(v6) | ? [v9: any] : ?
% 78.15/11.23 [v10: hoare_1848483303_state] : (hAPP_p675228438_state(v1, v6) = v10 &
% 78.15/11.23 hBOOL(v8) = v9 & hoare_1848483303_state(v10) & ( ~ (v10 = v0) | ~ (v9 =
% 78.15/11.23 0))))) & ! [v0: hoare_1848483303_state] : ! [v1:
% 78.15/11.23 fun_pn447269700_state] : ! [v2: fun_pname_bool] : ! [v3:
% 78.15/11.23 fun_fu1783763359l_bool] : ! [v4: fun_Ho734851753e_bool] : ! [v5: bool] : (
% 78.15/11.23 ~ (hAPP_H1199573897l_bool(member591555156_state, v0) = v3) | ~
% 78.15/11.23 (image_1256224870_state(v1, v2) = v4) | ~ (hAPP_f355887345l_bool(v3, v4) =
% 78.15/11.23 v5) | ~ fun_pn447269700_state(v1) | ~ fun_pname_bool(v2) | ~
% 78.15/11.23 hoare_1848483303_state(v0) | ? [v6: pname] : ? [v7:
% 78.15/11.23 fun_fu1430349052l_bool] : ? [v8: bool] : (hAPP_p675228438_state(v1, v6) =
% 78.15/11.23 v0 & hAPP_p338031245l_bool(member_pname, v6) = v7 &
% 78.15/11.23 hAPP_f1664156314l_bool(v7, v2) = v8 & hBOOL(v8) = 0 &
% 78.15/11.23 fun_fu1430349052l_bool(v7) & bool(v8) & pname(v6)) | ? [v6: int] : ( ~
% 78.15/11.23 (v6 = 0) & hBOOL(v5) = v6))
% 78.15/11.23
% 78.15/11.23 (fact_245_finite__subset)
% 78.15/11.23 fun_fu1478462177l_bool(ord_le1119700979e_bool) &
% 78.15/11.23 fun_fu1783763359l_bool(finite1765195604_state) & ! [v0:
% 78.15/11.23 fun_Ho734851753e_bool] : ! [v1: fun_Ho734851753e_bool] : ! [v2:
% 78.15/11.23 fun_fu1783763359l_bool] : ! [v3: bool] : ( ~
% 78.15/11.23 (hAPP_f15397171l_bool(ord_le1119700979e_bool, v0) = v2) | ~
% 78.15/11.23 (hAPP_f355887345l_bool(v2, v1) = v3) | ~ fun_Ho734851753e_bool(v1) | ~
% 78.15/11.23 fun_Ho734851753e_bool(v0) | ? [v4: any] : ? [v5: bool] : ? [v6: any] : ?
% 78.15/11.23 [v7: bool] : ? [v8: any] : (hAPP_f355887345l_bool(finite1765195604_state,
% 78.15/11.23 v1) = v5 & hAPP_f355887345l_bool(finite1765195604_state, v0) = v7 &
% 78.15/11.23 hBOOL(v7) = v8 & hBOOL(v5) = v6 & hBOOL(v3) = v4 & bool(v7) & bool(v5) & (
% 78.15/11.23 ~ (v6 = 0) | ~ (v4 = 0) | v8 = 0)))
% 78.15/11.23
% 78.15/11.23 (fact_249_rev__finite__subset)
% 78.15/11.23 fun_fu1478462177l_bool(ord_le1119700979e_bool) &
% 78.15/11.23 fun_fu1783763359l_bool(finite1765195604_state) & ! [v0:
% 78.15/11.23 fun_Ho734851753e_bool] : ! [v1: fun_Ho734851753e_bool] : ! [v2:
% 78.15/11.23 fun_fu1783763359l_bool] : ! [v3: bool] : ( ~
% 78.15/11.23 (hAPP_f15397171l_bool(ord_le1119700979e_bool, v0) = v2) | ~
% 78.15/11.23 (hAPP_f355887345l_bool(v2, v1) = v3) | ~ fun_Ho734851753e_bool(v1) | ~
% 78.15/11.23 fun_Ho734851753e_bool(v0) | ? [v4: bool] : ? [v5: any] : ? [v6: any] : ?
% 78.15/11.23 [v7: bool] : ? [v8: any] : (hAPP_f355887345l_bool(finite1765195604_state,
% 78.15/11.23 v1) = v4 & hAPP_f355887345l_bool(finite1765195604_state, v0) = v7 &
% 78.15/11.23 hBOOL(v7) = v8 & hBOOL(v4) = v5 & hBOOL(v3) = v6 & bool(v7) & bool(v4) & (
% 78.15/11.23 ~ (v6 = 0) | ~ (v5 = 0) | v8 = 0)))
% 78.15/11.23
% 78.15/11.23 (fact_253_mem__def)
% 78.15/11.23 fun_Ho1489168363l_bool(member591555156_state) & ! [v0:
% 78.15/11.23 hoare_1848483303_state] : ! [v1: fun_Ho734851753e_bool] : ! [v2:
% 78.15/11.23 fun_fu1783763359l_bool] : ! [v3: bool] : ( ~
% 78.15/11.23 (hAPP_H1199573897l_bool(member591555156_state, v0) = v2) | ~
% 78.15/11.23 (hAPP_f355887345l_bool(v2, v1) = v3) | ~ fun_Ho734851753e_bool(v1) | ~
% 78.15/11.23 hoare_1848483303_state(v0) | ? [v4: any] : ? [v5: bool] : ? [v6: any] :
% 78.15/11.23 (hAPP_H2060173127e_bool(v1, v0) = v5 & hBOOL(v5) = v6 & hBOOL(v3) = v4 &
% 78.15/11.23 bool(v5) & ( ~ (v4 = 0) | v6 = 0))) & ! [v0: hoare_1848483303_state] : !
% 78.15/11.23 [v1: fun_Ho734851753e_bool] : ! [v2: fun_fu1783763359l_bool] : ! [v3: bool]
% 78.15/11.23 : ( ~ (hAPP_H1199573897l_bool(member591555156_state, v0) = v2) | ~
% 78.15/11.23 (hAPP_f355887345l_bool(v2, v1) = v3) | ~ fun_Ho734851753e_bool(v1) | ~
% 78.15/11.23 hoare_1848483303_state(v0) | ? [v4: bool] : ? [v5: any] : ? [v6: any] :
% 78.15/11.23 (hAPP_H2060173127e_bool(v1, v0) = v4 & hBOOL(v4) = v5 & hBOOL(v3) = v6 &
% 78.15/11.23 bool(v4) & ( ~ (v5 = 0) | v6 = 0)))
% 78.15/11.23
% 78.15/11.23 (fact_255_Collect__def)
% 78.15/11.23 ! [v0: fun_Ho734851753e_bool] : ! [v1: fun_Ho734851753e_bool] : (v1 = v0 |
% 78.15/11.23 ~ (collec1708318610_state(v0) = v1) | ~ fun_Ho734851753e_bool(v0))
% 78.15/11.23
% 78.15/11.23 (fact_269_subset__image__iff)
% 78.15/11.24 fun_fu1478462177l_bool(ord_le1119700979e_bool) &
% 78.15/11.24 fun_fu802393907l_bool(ord_le313189616e_bool) & ! [v0: fun_Ho734851753e_bool]
% 78.15/11.24 : ! [v1: fun_pn447269700_state] : ! [v2: fun_pname_bool] : ! [v3:
% 78.15/11.24 fun_fu1783763359l_bool] : ! [v4: fun_Ho734851753e_bool] : ! [v5: bool] : (
% 78.15/11.24 ~ (image_1256224870_state(v1, v2) = v4) | ~
% 78.15/11.24 (hAPP_f15397171l_bool(ord_le1119700979e_bool, v0) = v3) | ~
% 78.15/11.24 (hAPP_f355887345l_bool(v3, v4) = v5) | ~ fun_Ho734851753e_bool(v0) | ~
% 78.15/11.24 fun_pn447269700_state(v1) | ~ fun_pname_bool(v2) | hBOOL(v5) = 0 | ! [v6:
% 78.15/11.24 fun_pname_bool] : ! [v7: fun_fu1430349052l_bool] : ! [v8: bool] : ( ~
% 78.15/11.24 (hAPP_f434788991l_bool(ord_le313189616e_bool, v6) = v7) | ~
% 78.15/11.24 (hAPP_f1664156314l_bool(v7, v2) = v8) | ~ fun_pname_bool(v6) | ? [v9:
% 78.15/11.24 any] : ? [v10: fun_Ho734851753e_bool] : (image_1256224870_state(v1, v6)
% 78.15/11.24 = v10 & hBOOL(v8) = v9 & fun_Ho734851753e_bool(v10) & ( ~ (v10 = v0) |
% 78.15/11.24 ~ (v9 = 0))))) & ! [v0: fun_Ho734851753e_bool] : ! [v1:
% 78.15/11.24 fun_pn447269700_state] : ! [v2: fun_pname_bool] : ! [v3:
% 78.15/11.24 fun_fu1783763359l_bool] : ! [v4: fun_Ho734851753e_bool] : ! [v5: bool] : (
% 78.15/11.24 ~ (image_1256224870_state(v1, v2) = v4) | ~
% 78.15/11.24 (hAPP_f15397171l_bool(ord_le1119700979e_bool, v0) = v3) | ~
% 78.15/11.24 (hAPP_f355887345l_bool(v3, v4) = v5) | ~ fun_Ho734851753e_bool(v0) | ~
% 78.15/11.24 fun_pn447269700_state(v1) | ~ fun_pname_bool(v2) | ? [v6: fun_pname_bool]
% 78.15/11.24 : ? [v7: fun_fu1430349052l_bool] : ? [v8: bool] :
% 78.15/11.24 (image_1256224870_state(v1, v6) = v0 &
% 78.15/11.24 hAPP_f434788991l_bool(ord_le313189616e_bool, v6) = v7 &
% 78.15/11.24 hAPP_f1664156314l_bool(v7, v2) = v8 & hBOOL(v8) = 0 &
% 78.15/11.24 fun_fu1430349052l_bool(v7) & fun_pname_bool(v6) & bool(v8)) | ? [v6: int]
% 78.15/11.24 : ( ~ (v6 = 0) & hBOOL(v5) = v6))
% 78.15/11.24
% 78.15/11.24 (fact_287_MGF__lemma1)
% 78.15/11.24 fun_Ho734851753e_bool(bot_bo454148287e_bool) &
% 78.15/11.24 fun_pn422929397l_bool(member_pname) & fun_pname_option_com(body) &
% 78.15/11.24 fun_pname_com(body_1) & fun_co1814942666_state(hoare_Mirabelle_MGT) &
% 78.15/11.24 bool(hoare_1310879719gleton) & ? [v0: any] : ? [v1: fun_pname_bool] :
% 78.15/11.24 (dom_pname_com(body) = v1 & hBOOL(hoare_1310879719gleton) = v0 &
% 78.15/11.24 fun_pname_bool(v1) & ! [v2: com] : ! [v3: fun_Ho734851753e_bool] : ! [v4:
% 78.15/11.24 fun_fu1783763359l_bool] : ! [v5: hoare_1848483303_state] : ! [v6:
% 78.15/11.24 fun_Ho734851753e_bool] : ! [v7: bool] : ( ~ (v0 = 0) | ~
% 78.15/11.24 (hAPP_c379084956_state(hoare_Mirabelle_MGT, v2) = v5) | ~
% 78.15/11.24 (insert668001005_state(v5, bot_bo454148287e_bool) = v6) | ~
% 78.15/11.24 (hoare_1193527299_state(v3) = v4) | ~ (hAPP_f355887345l_bool(v4, v6) =
% 78.15/11.24 v7) | ~ fun_Ho734851753e_bool(v3) | ~ com(v2) | ? [v8: pname] : ?
% 78.15/11.24 [v9: fun_fu1430349052l_bool] : ? [v10: bool] : ? [v11: com] : ? [v12:
% 78.15/11.24 hoare_1848483303_state] : ? [v13: fun_Ho734851753e_bool] : ? [v14:
% 78.15/11.24 bool] : ? [v15: int] : ( ~ (v15 = 0) &
% 78.15/11.24 hAPP_p338031245l_bool(member_pname, v8) = v9 &
% 78.15/11.24 hAPP_f1664156314l_bool(v9, v1) = v10 & hAPP_pname_com(body_1, v8) = v11
% 78.15/11.24 & hAPP_c379084956_state(hoare_Mirabelle_MGT, v11) = v12 &
% 78.15/11.24 insert668001005_state(v12, bot_bo454148287e_bool) = v13 &
% 78.15/11.24 hAPP_f355887345l_bool(v4, v13) = v14 & hBOOL(v14) = v15 & hBOOL(v10) = 0
% 78.15/11.24 & fun_fu1430349052l_bool(v9) & fun_Ho734851753e_bool(v13) &
% 78.15/11.24 hoare_1848483303_state(v12) & bool(v14) & bool(v10) & pname(v8) &
% 78.15/11.24 com(v11)) | ? [v8: bool] : ? [v9: any] : ? [v10: any] : (wt(v2) = v8
% 78.15/11.24 & hBOOL(v8) = v9 & hBOOL(v7) = v10 & bool(v8) & ( ~ (v9 = 0) | v10 =
% 78.15/11.24 0))))
% 78.15/11.24
% 78.15/11.24 (fact_288_WT__bodiesD)
% 78.15/11.24 fun_pname_option_com(body) & bool(wT_bodies) & ? [v0: any] :
% 78.15/11.24 (hBOOL(wT_bodies) = v0 & ! [v1: pname] : ! [v2: com] : ! [v3: option_com] :
% 78.15/11.24 ! [v4: bool] : ( ~ (v0 = 0) | ~ (wt(v2) = v4) | ~
% 78.15/11.24 (hAPP_p799580910on_com(body, v1) = v3) | ~ pname(v1) | ~ com(v2) | ?
% 78.15/11.24 [v5: option_com] : ? [v6: any] : (some_com(v2) = v5 & hBOOL(v4) = v6 &
% 78.15/11.24 option_com(v5) & ( ~ (v5 = v3) | v6 = 0))))
% 78.15/11.24
% 78.15/11.24 (fact_298_finite__dom__body)
% 78.15/11.24 fun_fu1430349052l_bool(finite_finite_pname) & fun_pname_option_com(body) & ?
% 78.15/11.24 [v0: fun_pname_bool] : ? [v1: bool] : (dom_pname_com(body) = v0 &
% 78.15/11.24 hAPP_f1664156314l_bool(finite_finite_pname, v0) = v1 & hBOOL(v1) = 0 &
% 78.15/11.24 fun_pname_bool(v0) & bool(v1))
% 78.15/11.24
% 78.15/11.24 (fact_2_weaken)
% 78.15/11.24 fun_fu1478462177l_bool(ord_le1119700979e_bool) & ! [v0:
% 78.15/11.24 fun_Ho734851753e_bool] : ! [v1: fun_Ho734851753e_bool] : ! [v2:
% 78.15/11.24 fun_Ho734851753e_bool] : ! [v3: fun_fu1783763359l_bool] : ! [v4:
% 78.15/11.24 fun_fu1783763359l_bool] : ! [v5: bool] : ! [v6: bool] : ( ~
% 78.15/11.24 (hAPP_f15397171l_bool(ord_le1119700979e_bool, v0) = v4) | ~
% 78.15/11.24 (hoare_1193527299_state(v1) = v3) | ~ (hAPP_f355887345l_bool(v4, v2) = v5)
% 78.15/11.24 | ~ (hAPP_f355887345l_bool(v3, v0) = v6) | ~ fun_Ho734851753e_bool(v2) |
% 78.15/11.24 ~ fun_Ho734851753e_bool(v1) | ~ fun_Ho734851753e_bool(v0) | ? [v7: bool] :
% 78.15/11.24 ? [v8: any] : ? [v9: any] : ? [v10: any] : (hAPP_f355887345l_bool(v3, v2)
% 78.15/11.24 = v7 & hBOOL(v7) = v8 & hBOOL(v6) = v10 & hBOOL(v5) = v9 & bool(v7) & ( ~
% 78.15/11.24 (v9 = 0) | ~ (v8 = 0) | v10 = 0)))
% 78.15/11.24
% 78.15/11.24 (fact_4_cut)
% 78.15/11.25 ! [v0: fun_Ho734851753e_bool] : ! [v1: fun_Ho734851753e_bool] : ! [v2:
% 78.15/11.25 fun_Ho734851753e_bool] : ! [v3: fun_fu1783763359l_bool] : ! [v4: bool] :
% 78.15/11.25 ! [v5: bool] : ( ~ (hoare_1193527299_state(v0) = v3) | ~
% 78.15/11.25 (hAPP_f355887345l_bool(v3, v2) = v5) | ~ (hAPP_f355887345l_bool(v3, v1) =
% 78.15/11.25 v4) | ~ fun_Ho734851753e_bool(v2) | ~ fun_Ho734851753e_bool(v1) | ~
% 78.15/11.25 fun_Ho734851753e_bool(v0) | ? [v6: fun_fu1783763359l_bool] : ? [v7: bool]
% 78.15/11.25 : ? [v8: any] : ? [v9: any] : ? [v10: any] : (hoare_1193527299_state(v1)
% 78.15/11.25 = v6 & hAPP_f355887345l_bool(v6, v2) = v7 & hBOOL(v7) = v8 & hBOOL(v5) =
% 78.15/11.25 v10 & hBOOL(v4) = v9 & fun_fu1783763359l_bool(v6) & bool(v7) & ( ~ (v9 =
% 78.15/11.25 0) | ~ (v8 = 0) | v10 = 0)))
% 78.15/11.25
% 78.15/11.25 (fact_5_hoare__derivs_Oinsert)
% 78.15/11.25 fun_Ho734851753e_bool(bot_bo454148287e_bool) & ! [v0: fun_Ho734851753e_bool]
% 78.15/11.25 : ! [v1: fun_Ho734851753e_bool] : ! [v2: hoare_1848483303_state] : ! [v3:
% 78.15/11.25 fun_fu1783763359l_bool] : ! [v4: fun_Ho734851753e_bool] : ! [v5: bool] :
% 78.15/11.25 ! [v6: bool] : ( ~ (insert668001005_state(v2, bot_bo454148287e_bool) = v4) |
% 78.15/11.25 ~ (hoare_1193527299_state(v1) = v3) | ~ (hAPP_f355887345l_bool(v3, v4) =
% 78.15/11.25 v5) | ~ (hAPP_f355887345l_bool(v3, v0) = v6) | ~
% 78.15/11.25 fun_Ho734851753e_bool(v1) | ~ fun_Ho734851753e_bool(v0) | ~
% 78.15/11.25 hoare_1848483303_state(v2) | ? [v7: any] : ? [v8: any] : ? [v9:
% 78.15/11.25 fun_Ho734851753e_bool] : ? [v10: bool] : ? [v11: any] :
% 78.15/11.25 (insert668001005_state(v2, v0) = v9 & hAPP_f355887345l_bool(v3, v9) = v10 &
% 78.15/11.25 hBOOL(v10) = v11 & hBOOL(v6) = v8 & hBOOL(v5) = v7 &
% 78.15/11.25 fun_Ho734851753e_bool(v9) & bool(v10) & ( ~ (v8 = 0) | ~ (v7 = 0) | v11 =
% 78.15/11.25 0)))
% 78.15/11.25
% 78.15/11.25 (fact_6_derivs__insertD)
% 78.15/11.25 fun_Ho734851753e_bool(bot_bo454148287e_bool) & ! [v0: fun_Ho734851753e_bool]
% 78.15/11.25 : ! [v1: hoare_1848483303_state] : ! [v2: fun_Ho734851753e_bool] : ! [v3:
% 78.15/11.25 fun_fu1783763359l_bool] : ! [v4: fun_Ho734851753e_bool] : ! [v5: bool] :
% 78.15/11.25 ! [v6: bool] : ( ~ (insert668001005_state(v1, bot_bo454148287e_bool) = v4) |
% 78.15/11.25 ~ (hoare_1193527299_state(v0) = v3) | ~ (hAPP_f355887345l_bool(v3, v4) =
% 78.15/11.25 v5) | ~ (hAPP_f355887345l_bool(v3, v2) = v6) | ~
% 78.15/11.25 fun_Ho734851753e_bool(v2) | ~ fun_Ho734851753e_bool(v0) | ~
% 78.15/11.25 hoare_1848483303_state(v1) | ? [v7: fun_Ho734851753e_bool] : ? [v8: bool]
% 78.15/11.25 : ? [v9: any] : ? [v10: any] : ? [v11: any] : (insert668001005_state(v1,
% 78.15/11.25 v2) = v7 & hAPP_f355887345l_bool(v3, v7) = v8 & hBOOL(v8) = v9 &
% 78.15/11.25 hBOOL(v6) = v11 & hBOOL(v5) = v10 & fun_Ho734851753e_bool(v7) & bool(v8) &
% 78.15/11.25 ( ~ (v9 = 0) | (v11 = 0 & v10 = 0))))
% 78.15/11.25
% 78.15/11.25 (function-axioms)
% 78.66/11.29 ! [v0: fun_bool_bool] : ! [v1: fun_bool_bool] : ! [v2:
% 78.66/11.29 fun_fu1783763359l_bool] : ! [v3: fun_fu296636465l_bool] : (v1 = v0 | ~
% 78.66/11.29 (hAPP_f2022158333l_bool(v3, v2) = v1) | ~ (hAPP_f2022158333l_bool(v3, v2) =
% 78.66/11.29 v0)) & ! [v0: fun_bool_bool] : ! [v1: fun_bool_bool] : ! [v2:
% 78.66/11.29 fun_Ho734851753e_bool] : ! [v3: fun_fu947309171l_bool] : (v1 = v0 | ~
% 78.66/11.29 (hAPP_f170941835l_bool(v3, v2) = v1) | ~ (hAPP_f170941835l_bool(v3, v2) =
% 78.66/11.29 v0)) & ! [v0: fun_bool_bool] : ! [v1: fun_bool_bool] : ! [v2:
% 78.66/11.29 fun_fu1430349052l_bool] : ! [v3: fun_fu1171508960l_bool] : (v1 = v0 | ~
% 78.66/11.29 (hAPP_f32027384l_bool(v3, v2) = v1) | ~ (hAPP_f32027384l_bool(v3, v2) =
% 78.66/11.29 v0)) & ! [v0: fun_bool_bool] : ! [v1: fun_bool_bool] : ! [v2:
% 78.66/11.29 hoare_1848483303_state] : ! [v3: fun_Ho2109050089l_bool] : (v1 = v0 | ~
% 78.66/11.29 (hAPP_H590162869l_bool(v3, v2) = v1) | ~ (hAPP_H590162869l_bool(v3, v2) =
% 78.66/11.29 v0)) & ! [v0: fun_pn447269700_state] : ! [v1: fun_pn447269700_state] :
% 78.66/11.29 ! [v2: fun_pname_com] : ! [v3: fun_co1814942666_state] : (v1 = v0 | ~
% 78.66/11.29 (cOMBB_573322273_pname(v3, v2) = v1) | ~ (cOMBB_573322273_pname(v3, v2) =
% 78.66/11.29 v0)) & ! [v0: fun_bool_bool] : ! [v1: fun_bool_bool] : ! [v2:
% 78.66/11.29 fun_pname_bool] : ! [v3: fun_fu31783638l_bool] : (v1 = v0 | ~
% 78.66/11.29 (hAPP_f1476298914l_bool(v3, v2) = v1) | ~ (hAPP_f1476298914l_bool(v3, v2) =
% 78.66/11.29 v0)) & ! [v0: fun_pname_com] : ! [v1: fun_pname_com] : ! [v2:
% 78.66/11.29 fun_pname_option_com] : ! [v3: fun_option_com_com] : (v1 = v0 | ~
% 78.66/11.29 (cOMBB_923936821_pname(v3, v2) = v1) | ~ (cOMBB_923936821_pname(v3, v2) =
% 78.66/11.29 v0)) & ! [v0: fun_bool_bool] : ! [v1: fun_bool_bool] : ! [v2: pname] :
% 78.66/11.29 ! [v3: fun_pn250273176l_bool] : (v1 = v0 | ~ (hAPP_p393069232l_bool(v3, v2) =
% 78.66/11.29 v1) | ~ (hAPP_p393069232l_bool(v3, v2) = v0)) & ! [v0: fun_bool_bool] :
% 78.66/11.29 ! [v1: fun_bool_bool] : ! [v2: bool] : ! [v3: fun_bo1549164019l_bool] : (v1
% 78.66/11.29 = v0 | ~ (hAPP_b589554111l_bool(v3, v2) = v1) | ~
% 78.66/11.29 (hAPP_b589554111l_bool(v3, v2) = v0)) & ! [v0: bool] : ! [v1: bool] : !
% 78.66/11.29 [v2: bool] : ! [v3: fun_bool_bool] : (v1 = v0 | ~ (hAPP_bool_bool(v3, v2) =
% 78.66/11.29 v1) | ~ (hAPP_bool_bool(v3, v2) = v0)) & ! [v0: fun_fu1783763359l_bool]
% 78.66/11.29 : ! [v1: fun_fu1783763359l_bool] : ! [v2: fun_fu1783763359l_bool] : ! [v3:
% 78.66/11.29 fun_fu1137856163l_bool] : (v1 = v0 | ~ (hAPP_f1360064833l_bool(v3, v2) =
% 78.66/11.29 v1) | ~ (hAPP_f1360064833l_bool(v3, v2) = v0)) & ! [v0:
% 78.66/11.29 fun_fu1430349052l_bool] : ! [v1: fun_fu1430349052l_bool] : ! [v2:
% 78.66/11.29 fun_fu1430349052l_bool] : ! [v3: fun_fu2087345469l_bool] : (v1 = v0 | ~
% 78.66/11.29 (hAPP_f559147733l_bool(v3, v2) = v1) | ~ (hAPP_f559147733l_bool(v3, v2) =
% 78.66/11.29 v0)) & ! [v0: fun_Ho734851753e_bool] : ! [v1: fun_Ho734851753e_bool] :
% 78.66/11.29 ! [v2: fun_Ho734851753e_bool] : ! [v3: fun_fu77875581e_bool] : (v1 = v0 | ~
% 78.66/11.29 (hAPP_f617245717e_bool(v3, v2) = v1) | ~ (hAPP_f617245717e_bool(v3, v2) =
% 78.66/11.29 v0)) & ! [v0: fun_pname_bool] : ! [v1: fun_pname_bool] : ! [v2:
% 78.66/11.29 fun_pname_bool] : ! [v3: fun_fu410713561e_bool] : (v1 = v0 | ~
% 78.66/11.29 (hAPP_f759274231e_bool(v3, v2) = v1) | ~ (hAPP_f759274231e_bool(v3, v2) =
% 78.66/11.29 v0)) & ! [v0: fun_fu1783763359l_bool] : ! [v1: fun_fu1783763359l_bool] :
% 78.66/11.29 ! [v2: fun_fu1783763359l_bool] : ! [v3: fun_bool_bool] : (v1 = v0 | ~
% 78.66/11.29 (cOMBB_1356070853e_bool(v3, v2) = v1) | ~ (cOMBB_1356070853e_bool(v3, v2) =
% 78.66/11.29 v0)) & ! [v0: fun_fu1430349052l_bool] : ! [v1: fun_fu1430349052l_bool] :
% 78.66/11.29 ! [v2: fun_fu1430349052l_bool] : ! [v3: fun_bool_bool] : (v1 = v0 | ~
% 78.66/11.29 (cOMBB_307249310e_bool(v3, v2) = v1) | ~ (cOMBB_307249310e_bool(v3, v2) =
% 78.66/11.29 v0)) & ! [v0: fun_Ho734851753e_bool] : ! [v1: fun_Ho734851753e_bool] :
% 78.66/11.29 ! [v2: fun_Ho734851753e_bool] : ! [v3: fun_bool_bool] : (v1 = v0 | ~
% 78.66/11.29 (cOMBB_1397003211_state(v3, v2) = v1) | ~ (cOMBB_1397003211_state(v3, v2) =
% 78.66/11.29 v0)) & ! [v0: fun_pname_bool] : ! [v1: fun_pname_bool] : ! [v2:
% 78.66/11.29 fun_pname_bool] : ! [v3: fun_bool_bool] : (v1 = v0 | ~
% 78.66/11.29 (cOMBB_647938656_pname(v3, v2) = v1) | ~ (cOMBB_647938656_pname(v3, v2) =
% 78.66/11.29 v0)) & ! [v0: bool] : ! [v1: bool] : ! [v2: pname] : ! [v3:
% 78.66/11.29 fun_pname_bool] : (v1 = v0 | ~ (hAPP_pname_bool(v3, v2) = v1) | ~
% 78.66/11.29 (hAPP_pname_bool(v3, v2) = v0)) & ! [v0: bool] : ! [v1: bool] : ! [v2:
% 78.66/11.29 hoare_1848483303_state] : ! [v3: fun_Ho734851753e_bool] : (v1 = v0 | ~
% 78.66/11.29 (hAPP_H2060173127e_bool(v3, v2) = v1) | ~ (hAPP_H2060173127e_bool(v3, v2) =
% 78.66/11.29 v0)) & ! [v0: hoare_1848483303_state] : ! [v1: hoare_1848483303_state] :
% 78.66/11.29 ! [v2: pname] : ! [v3: fun_pn447269700_state] : (v1 = v0 | ~
% 78.66/11.29 (hAPP_p675228438_state(v3, v2) = v1) | ~ (hAPP_p675228438_state(v3, v2) =
% 78.66/11.29 v0)) & ! [v0: pname] : ! [v1: pname] : ! [v2: fun_Ho734851753e_bool] :
% 78.66/11.29 ! [v3: fun_fu891110808_pname] : (v1 = v0 | ~ (hAPP_f50667184_pname(v3, v2) =
% 78.66/11.29 v1) | ~ (hAPP_f50667184_pname(v3, v2) = v0)) & ! [v0: pname] : ! [v1:
% 78.66/11.29 pname] : ! [v2: fun_pname_bool] : ! [v3: fun_fu1499449723_pname] : (v1 =
% 78.66/11.29 v0 | ~ (hAPP_f1297739591_pname(v3, v2) = v1) | ~
% 78.66/11.29 (hAPP_f1297739591_pname(v3, v2) = v0)) & ! [v0: pname] : ! [v1: pname] :
% 78.66/11.29 ! [v2: pname] : ! [v3: fun_pname_pname] : (v1 = v0 | ~ (hAPP_pname_pname(v3,
% 78.66/11.29 v2) = v1) | ~ (hAPP_pname_pname(v3, v2) = v0)) & ! [v0: pname] : !
% 78.66/11.29 [v1: pname] : ! [v2: hoare_1848483303_state] : ! [v3: fun_Ho862234382_pname]
% 78.66/11.29 : (v1 = v0 | ~ (hAPP_H1494965722_pname(v3, v2) = v1) | ~
% 78.66/11.29 (hAPP_H1494965722_pname(v3, v2) = v0)) & ! [v0: hoare_1848483303_state] :
% 78.66/11.29 ! [v1: hoare_1848483303_state] : ! [v2: fun_Ho734851753e_bool] : ! [v3:
% 78.66/11.29 fun_fu1404623273_state] : (v1 = v0 | ~ (hAPP_f2099317627_state(v3, v2) =
% 78.66/11.29 v1) | ~ (hAPP_f2099317627_state(v3, v2) = v0)) & ! [v0:
% 78.66/11.29 hoare_1848483303_state] : ! [v1: hoare_1848483303_state] : ! [v2:
% 78.66/11.29 fun_pname_bool] : ! [v3: fun_fu1387033222_state] : (v1 = v0 | ~
% 78.66/11.29 (hAPP_f141816996_state(v3, v2) = v1) | ~ (hAPP_f141816996_state(v3, v2) =
% 78.66/11.29 v0)) & ! [v0: fun_Ho734851753e_bool] : ! [v1: fun_Ho734851753e_bool] :
% 78.66/11.29 ! [v2: pname] : ! [v3: fun_pn2079317538e_bool] : (v1 = v0 | ~
% 78.66/11.29 (hAPP_p276714170e_bool(v3, v2) = v1) | ~ (hAPP_p276714170e_bool(v3, v2) =
% 78.66/11.29 v0)) & ! [v0: fun_pname_bool] : ! [v1: fun_pname_bool] : ! [v2: pname]
% 78.66/11.29 : ! [v3: fun_pn800050071e_bool] : (v1 = v0 | ~ (hAPP_p61793385e_bool(v3, v2)
% 78.66/11.29 = v1) | ~ (hAPP_p61793385e_bool(v3, v2) = v0)) & ! [v0:
% 78.66/11.29 fun_Ho734851753e_bool] : ! [v1: fun_Ho734851753e_bool] : ! [v2:
% 78.66/11.29 hoare_1848483303_state] : ! [v3: fun_Ho1480763635e_bool] : (v1 = v0 | ~
% 78.66/11.29 (hAPP_H1618070847e_bool(v3, v2) = v1) | ~ (hAPP_H1618070847e_bool(v3, v2) =
% 78.66/11.29 v0)) & ! [v0: fun_pname_bool] : ! [v1: fun_pname_bool] : ! [v2:
% 78.66/11.29 hoare_1848483303_state] : ! [v3: fun_Ho585232518e_bool] : (v1 = v0 | ~
% 78.66/11.29 (hAPP_H1355725988e_bool(v3, v2) = v1) | ~ (hAPP_H1355725988e_bool(v3, v2) =
% 78.66/11.29 v0)) & ! [v0: option_com] : ! [v1: option_com] : ! [v2:
% 78.66/11.29 fun_Ho734851753e_bool] : ! [v3: fun_fu549469569on_com] : (v1 = v0 | ~
% 78.66/11.29 (hAPP_f636233299on_com(v3, v2) = v1) | ~ (hAPP_f636233299on_com(v3, v2) =
% 78.66/11.29 v0)) & ! [v0: option_com] : ! [v1: option_com] : ! [v2: fun_pname_bool]
% 78.66/11.29 : ! [v3: fun_fu799392094on_com] : (v1 = v0 | ~ (hAPP_f2138803836on_com(v3,
% 78.66/11.29 v2) = v1) | ~ (hAPP_f2138803836on_com(v3, v2) = v0)) & ! [v0:
% 78.66/11.29 fun_fu64031073l_bool] : ! [v1: fun_fu64031073l_bool] : ! [v2:
% 78.66/11.29 fun_Ho734851753e_bool] : ! [v3: fun_fu1259080373l_bool] : (v1 = v0 | ~
% 78.66/11.29 (hAPP_f1258983629l_bool(v3, v2) = v1) | ~ (hAPP_f1258983629l_bool(v3, v2) =
% 78.66/11.29 v0)) & ! [v0: fun_fu399576434l_bool] : ! [v1: fun_fu399576434l_bool] :
% 78.66/11.29 ! [v2: fun_pname_bool] : ! [v3: fun_fu931343505l_bool] : (v1 = v0 | ~
% 78.66/11.29 (hAPP_f556039215l_bool(v3, v2) = v1) | ~ (hAPP_f556039215l_bool(v3, v2) =
% 78.66/11.29 v0)) & ! [v0: fun_fu1783763359l_bool] : ! [v1: fun_fu1783763359l_bool] :
% 78.66/11.29 ! [v2: hoare_1848483303_state] : ! [v3: fun_Ho1489168363l_bool] : (v1 = v0 |
% 78.66/11.29 ~ (hAPP_H1199573897l_bool(v3, v2) = v1) | ~ (hAPP_H1199573897l_bool(v3,
% 78.66/11.29 v2) = v0)) & ! [v0: fun_fu1430349052l_bool] : ! [v1:
% 78.66/11.29 fun_fu1430349052l_bool] : ! [v2: pname] : ! [v3: fun_pn422929397l_bool] :
% 78.66/11.29 (v1 = v0 | ~ (hAPP_p338031245l_bool(v3, v2) = v1) | ~
% 78.66/11.29 (hAPP_p338031245l_bool(v3, v2) = v0)) & ! [v0: fun_fu31783638l_bool] : !
% 78.66/11.29 [v1: fun_fu31783638l_bool] : ! [v2: fun_fu1430349052l_bool] : ! [v3:
% 78.66/11.29 fun_bo1549164019l_bool] : (v1 = v0 | ~ (cOMBB_2095475776e_bool(v3, v2) =
% 78.66/11.29 v1) | ~ (cOMBB_2095475776e_bool(v3, v2) = v0)) & ! [v0:
% 78.66/11.30 fun_fu1430349052l_bool] : ! [v1: fun_fu1430349052l_bool] : ! [v2:
% 78.66/11.30 fun_fu1430349052l_bool] : ! [v3: fun_fu31783638l_bool] : (v1 = v0 | ~
% 78.66/11.30 (cOMBS_350070575l_bool(v3, v2) = v1) | ~ (cOMBS_350070575l_bool(v3, v2) =
% 78.66/11.30 v0)) & ! [v0: fun_fu947309171l_bool] : ! [v1: fun_fu947309171l_bool] :
% 78.66/11.30 ! [v2: fun_fu1783763359l_bool] : ! [v3: fun_bo1549164019l_bool] : (v1 = v0 |
% 78.66/11.30 ~ (cOMBB_1418941603e_bool(v3, v2) = v1) | ~ (cOMBB_1418941603e_bool(v3, v2)
% 78.66/11.30 = v0)) & ! [v0: fun_fu1783763359l_bool] : ! [v1: fun_fu1783763359l_bool]
% 78.66/11.30 : ! [v2: fun_fu1783763359l_bool] : ! [v3: fun_fu947309171l_bool] : (v1 = v0
% 78.66/11.30 | ~ (cOMBS_1278217668l_bool(v3, v2) = v1) | ~ (cOMBS_1278217668l_bool(v3,
% 78.66/11.30 v2) = v0)) & ! [v0: fun_fu296636465l_bool] : ! [v1:
% 78.66/11.30 fun_fu296636465l_bool] : ! [v2: fun_fu64031073l_bool] : ! [v3:
% 78.66/11.30 fun_bo1549164019l_bool] : (v1 = v0 | ~ (cOMBB_1936369445l_bool(v3, v2) =
% 78.66/11.30 v1) | ~ (cOMBB_1936369445l_bool(v3, v2) = v0)) & ! [v0:
% 78.66/11.30 fun_fu64031073l_bool] : ! [v1: fun_fu64031073l_bool] : ! [v2:
% 78.66/11.30 fun_fu64031073l_bool] : ! [v3: fun_fu296636465l_bool] : (v1 = v0 | ~
% 78.66/11.30 (cOMBS_101732372l_bool(v3, v2) = v1) | ~ (cOMBS_101732372l_bool(v3, v2) =
% 78.66/11.30 v0)) & ! [v0: fun_fu1171508960l_bool] : ! [v1: fun_fu1171508960l_bool] :
% 78.66/11.30 ! [v2: fun_fu399576434l_bool] : ! [v3: fun_bo1549164019l_bool] : (v1 = v0 |
% 78.66/11.30 ~ (cOMBB_689948150l_bool(v3, v2) = v1) | ~ (cOMBB_689948150l_bool(v3, v2) =
% 78.66/11.30 v0)) & ! [v0: fun_fu399576434l_bool] : ! [v1: fun_fu399576434l_bool] :
% 78.66/11.30 ! [v2: fun_fu399576434l_bool] : ! [v3: fun_fu1171508960l_bool] : (v1 = v0 |
% 78.66/11.30 ~ (cOMBS_811933079l_bool(v3, v2) = v1) | ~ (cOMBS_811933079l_bool(v3, v2) =
% 78.66/11.30 v0)) & ! [v0: fun_Ho2109050089l_bool] : ! [v1: fun_Ho2109050089l_bool] :
% 78.66/11.30 ! [v2: fun_Ho734851753e_bool] : ! [v3: fun_bo1549164019l_bool] : (v1 = v0 |
% 78.66/11.30 ~ (cOMBB_215065709_state(v3, v2) = v1) | ~ (cOMBB_215065709_state(v3, v2) =
% 78.66/11.30 v0)) & ! [v0: fun_Ho734851753e_bool] : ! [v1: fun_Ho734851753e_bool] :
% 78.66/11.30 ! [v2: fun_Ho734851753e_bool] : ! [v3: fun_Ho2109050089l_bool] : (v1 = v0 |
% 78.66/11.30 ~ (cOMBS_1990964188l_bool(v3, v2) = v1) | ~ (cOMBS_1990964188l_bool(v3, v2)
% 78.66/11.30 = v0)) & ! [v0: fun_pn250273176l_bool] : ! [v1: fun_pn250273176l_bool] :
% 78.66/11.30 ! [v2: fun_pname_bool] : ! [v3: fun_bo1549164019l_bool] : (v1 = v0 | ~
% 78.66/11.30 (cOMBB_675860798_pname(v3, v2) = v1) | ~ (cOMBB_675860798_pname(v3, v2) =
% 78.66/11.30 v0)) & ! [v0: fun_pname_bool] : ! [v1: fun_pname_bool] : ! [v2:
% 78.66/11.30 fun_pname_bool] : ! [v3: fun_pn250273176l_bool] : (v1 = v0 | ~
% 78.66/11.30 (cOMBS_568398431l_bool(v3, v2) = v1) | ~ (cOMBS_568398431l_bool(v3, v2) =
% 78.66/11.30 v0)) & ! [v0: fun_fu1430349052l_bool] : ! [v1: fun_fu1430349052l_bool] :
% 78.66/11.30 ! [v2: fun_fu1430349052l_bool] : ! [v3: fun_pname_bool] : (v1 = v0 | ~
% 78.66/11.30 (insert1325755072e_bool(v3, v2) = v1) | ~ (insert1325755072e_bool(v3, v2) =
% 78.66/11.30 v0)) & ! [v0: fun_fu1783763359l_bool] : ! [v1: fun_fu1783763359l_bool] :
% 78.66/11.30 ! [v2: fun_fu1783763359l_bool] : ! [v3: fun_Ho734851753e_bool] : (v1 = v0 |
% 78.66/11.30 ~ (insert1390540323e_bool(v3, v2) = v1) | ~ (insert1390540323e_bool(v3, v2)
% 78.66/11.30 = v0)) & ! [v0: fun_fu64031073l_bool] : ! [v1: fun_fu64031073l_bool] :
% 78.66/11.30 ! [v2: fun_fu64031073l_bool] : ! [v3: fun_fu1783763359l_bool] : (v1 = v0 | ~
% 78.66/11.30 (insert1735796133l_bool(v3, v2) = v1) | ~ (insert1735796133l_bool(v3, v2) =
% 78.66/11.30 v0)) & ! [v0: fun_fu399576434l_bool] : ! [v1: fun_fu399576434l_bool] :
% 78.66/11.30 ! [v2: fun_fu399576434l_bool] : ! [v3: fun_fu1430349052l_bool] : (v1 = v0 |
% 78.66/11.30 ~ (insert1117693814l_bool(v3, v2) = v1) | ~ (insert1117693814l_bool(v3, v2)
% 78.66/11.30 = v0)) & ! [v0: fun_pname_bool] : ! [v1: fun_pname_bool] : ! [v2:
% 78.66/11.30 fun_pname_bool] : ! [v3: pname] : (v1 = v0 | ~ (insert_pname(v3, v2) = v1)
% 78.66/11.30 | ~ (insert_pname(v3, v2) = v0)) & ! [v0: fun_pname_bool] : ! [v1:
% 78.66/11.30 fun_pname_bool] : ! [v2: fun_pname_bool] : ! [v3: fun_pname_pname] : (v1 =
% 78.66/11.30 v0 | ~ (image_pname_pname(v3, v2) = v1) | ~ (image_pname_pname(v3, v2) =
% 78.66/11.30 v0)) & ! [v0: fun_pname_bool] : ! [v1: fun_pname_bool] : ! [v2:
% 78.66/11.30 fun_Ho734851753e_bool] : ! [v3: fun_Ho862234382_pname] : (v1 = v0 | ~
% 78.66/11.30 (image_2075962154_pname(v3, v2) = v1) | ~ (image_2075962154_pname(v3, v2) =
% 78.66/11.30 v0)) & ! [v0: fun_fu1430349052l_bool] : ! [v1: fun_fu1430349052l_bool] :
% 78.66/11.30 ! [v2: fun_Ho734851753e_bool] : ! [v3: fun_Ho585232518e_bool] : (v1 = v0 |
% 78.66/11.30 ~ (image_983321428e_bool(v3, v2) = v1) | ~ (image_983321428e_bool(v3, v2) =
% 78.66/11.30 v0)) & ! [v0: fun_fu1783763359l_bool] : ! [v1: fun_fu1783763359l_bool] :
% 78.66/11.30 ! [v2: fun_Ho734851753e_bool] : ! [v3: fun_Ho1480763635e_bool] : (v1 = v0 |
% 78.66/11.30 ~ (image_249571983e_bool(v3, v2) = v1) | ~ (image_249571983e_bool(v3, v2) =
% 78.66/11.30 v0)) & ! [v0: fun_fu64031073l_bool] : ! [v1: fun_fu64031073l_bool] : !
% 78.66/11.30 [v2: fun_Ho734851753e_bool] : ! [v3: fun_Ho1489168363l_bool] : (v1 = v0 | ~
% 78.66/11.30 (image_783059513l_bool(v3, v2) = v1) | ~ (image_783059513l_bool(v3, v2) =
% 78.66/11.30 v0)) & ! [v0: fun_fu399576434l_bool] : ! [v1: fun_fu399576434l_bool] :
% 78.66/11.30 ! [v2: fun_Ho734851753e_bool] : ! [v3: fun_Ho872578118l_bool] : (v1 = v0 | ~
% 78.66/11.30 (image_7400930l_bool(v3, v2) = v1) | ~ (image_7400930l_bool(v3, v2) = v0))
% 78.66/11.30 & ! [v0: fun_fu1430349052l_bool] : ! [v1: fun_fu1430349052l_bool] : ! [v2:
% 78.66/11.30 fun_pname_bool] : ! [v3: fun_pn800050071e_bool] : (v1 = v0 | ~
% 78.66/11.30 (image_47868345e_bool(v3, v2) = v1) | ~ (image_47868345e_bool(v3, v2) =
% 78.66/11.30 v0)) & ! [v0: fun_fu1783763359l_bool] : ! [v1: fun_fu1783763359l_bool] :
% 78.66/11.30 ! [v2: fun_pname_bool] : ! [v3: fun_pn2079317538e_bool] : (v1 = v0 | ~
% 78.66/11.30 (image_2051793258e_bool(v3, v2) = v1) | ~ (image_2051793258e_bool(v3, v2) =
% 78.66/11.30 v0)) & ! [v0: fun_fu64031073l_bool] : ! [v1: fun_fu64031073l_bool] : !
% 78.66/11.30 [v2: fun_pname_bool] : ! [v3: fun_pn1359388668l_bool] : (v1 = v0 | ~
% 78.66/11.30 (image_1820576158l_bool(v3, v2) = v1) | ~ (image_1820576158l_bool(v3, v2) =
% 78.66/11.30 v0)) & ! [v0: fun_fu399576434l_bool] : ! [v1: fun_fu399576434l_bool] :
% 78.66/11.30 ! [v2: fun_pname_bool] : ! [v3: fun_pn422929397l_bool] : (v1 = v0 | ~
% 78.66/11.30 (image_1642285373l_bool(v3, v2) = v1) | ~ (image_1642285373l_bool(v3, v2) =
% 78.66/11.30 v0)) & ! [v0: fun_Ho734851753e_bool] : ! [v1: fun_Ho734851753e_bool] :
% 78.66/11.30 ! [v2: fun_fu1430349052l_bool] : ! [v3: fun_fu1387033222_state] : (v1 = v0 |
% 78.66/11.30 ~ (image_1916896084_state(v3, v2) = v1) | ~ (image_1916896084_state(v3, v2)
% 78.66/11.30 = v0)) & ! [v0: fun_Ho734851753e_bool] : ! [v1: fun_Ho734851753e_bool] :
% 78.66/11.30 ! [v2: fun_fu1783763359l_bool] : ! [v3: fun_fu1404623273_state] : (v1 = v0 |
% 78.66/11.30 ~ (image_730818763_state(v3, v2) = v1) | ~ (image_730818763_state(v3, v2)
% 78.66/11.30 = v0)) & ! [v0: fun_Ho734851753e_bool] : ! [v1: fun_Ho734851753e_bool] :
% 78.66/11.30 ! [v2: fun_fu64031073l_bool] : ! [v3: fun_fu1538259051_state] : (v1 = v0 |
% 78.66/11.30 ~ (image_71018297_state(v3, v2) = v1) | ~ (image_71018297_state(v3, v2) =
% 78.66/11.30 v0)) & ! [v0: fun_Ho734851753e_bool] : ! [v1: fun_Ho734851753e_bool] :
% 78.66/11.30 ! [v2: fun_fu399576434l_bool] : ! [v3: fun_fu230733820_state] : (v1 = v0 | ~
% 78.66/11.30 (image_2078273054_state(v3, v2) = v1) | ~ (image_2078273054_state(v3, v2) =
% 78.66/11.30 v0)) & ! [v0: fun_pname_bool] : ! [v1: fun_pname_bool] : ! [v2:
% 78.66/11.30 fun_fu1430349052l_bool] : ! [v3: fun_fu1499449723_pname] : (v1 = v0 | ~
% 78.66/11.30 (image_1283814551_pname(v3, v2) = v1) | ~ (image_1283814551_pname(v3, v2) =
% 78.66/11.30 v0)) & ! [v0: fun_pname_bool] : ! [v1: fun_pname_bool] : ! [v2:
% 78.66/11.30 fun_fu1783763359l_bool] : ! [v3: fun_fu891110808_pname] : (v1 = v0 | ~
% 78.66/11.30 (image_1825746272_pname(v3, v2) = v1) | ~ (image_1825746272_pname(v3, v2) =
% 78.66/11.30 v0)) & ! [v0: fun_pname_bool] : ! [v1: fun_pname_bool] : ! [v2:
% 78.66/11.30 fun_fu64031073l_bool] : ! [v3: fun_fu1931361878_pname] : (v1 = v0 | ~
% 78.66/11.30 (image_2036190066_pname(v3, v2) = v1) | ~ (image_2036190066_pname(v3, v2) =
% 78.66/11.30 v0)) & ! [v0: fun_pname_bool] : ! [v1: fun_pname_bool] : ! [v2:
% 78.66/11.30 fun_fu399576434l_bool] : ! [v3: fun_fu1664106117_pname] : (v1 = v0 | ~
% 78.66/11.30 (image_1705983821_pname(v3, v2) = v1) | ~ (image_1705983821_pname(v3, v2) =
% 78.66/11.30 v0)) & ! [v0: fun_Ho734851753e_bool] : ! [v1: fun_Ho734851753e_bool] :
% 78.66/11.30 ! [v2: fun_pname_bool] : ! [v3: fun_pn447269700_state] : (v1 = v0 | ~
% 78.66/11.30 (image_1256224870_state(v3, v2) = v1) | ~ (image_1256224870_state(v3, v2) =
% 78.66/11.30 v0)) & ! [v0: fun_fu399576434l_bool] : ! [v1: fun_fu399576434l_bool] :
% 78.66/11.30 ! [v2: fun_fu1430349052l_bool] : ! [v3: fun_fu1911931399l_bool] : (v1 = v0 |
% 78.66/11.30 ~ (hAPP_f510955609l_bool(v3, v2) = v1) | ~ (hAPP_f510955609l_bool(v3, v2) =
% 78.66/11.30 v0)) & ! [v0: fun_fu64031073l_bool] : ! [v1: fun_fu64031073l_bool] : !
% 78.66/11.30 [v2: fun_fu1783763359l_bool] : ! [v3: fun_fu1483785331l_bool] : (v1 = v0 | ~
% 78.66/11.30 (hAPP_f511954751l_bool(v3, v2) = v1) | ~ (hAPP_f511954751l_bool(v3, v2) =
% 78.66/11.30 v0)) & ! [v0: fun_fu1690815831l_bool] : ! [v1: fun_fu1690815831l_bool] :
% 78.66/11.30 ! [v2: fun_fu64031073l_bool] : ! [v3: fun_fu325884881l_bool] : (v1 = v0 | ~
% 78.66/11.30 (hAPP_f1607907235l_bool(v3, v2) = v1) | ~ (hAPP_f1607907235l_bool(v3, v2) =
% 78.66/11.30 v0)) & ! [v0: bool] : ! [v1: bool] : ! [v2: fun_fu64031073l_bool] : !
% 78.66/11.30 [v3: fun_fu1690815831l_bool] : (v1 = v0 | ~ (hAPP_f1359865257l_bool(v3, v2) =
% 78.66/11.30 v1) | ~ (hAPP_f1359865257l_bool(v3, v2) = v0)) & ! [v0: bool] : ! [v1:
% 78.66/11.30 bool] : ! [v2: fun_fu1690815831l_bool] : ! [v3: fun_fu867166233l_bool] :
% 78.66/11.30 (v1 = v0 | ~ (hAPP_f844837559l_bool(v3, v2) = v1) | ~
% 78.66/11.30 (hAPP_f844837559l_bool(v3, v2) = v0)) & ! [v0: fun_fu1438281908l_bool] : !
% 78.66/11.30 [v1: fun_fu1438281908l_bool] : ! [v2: fun_fu399576434l_bool] : ! [v3:
% 78.66/11.30 fun_fu1086940979l_bool] : (v1 = v0 | ~ (hAPP_f1759205631l_bool(v3, v2) =
% 78.66/11.30 v1) | ~ (hAPP_f1759205631l_bool(v3, v2) = v0)) & ! [v0: bool] : ! [v1:
% 78.66/11.30 bool] : ! [v2: fun_fu399576434l_bool] : ! [v3: fun_fu1438281908l_bool] :
% 78.66/11.30 (v1 = v0 | ~ (hAPP_f389811538l_bool(v3, v2) = v1) | ~
% 78.66/11.30 (hAPP_f389811538l_bool(v3, v2) = v0)) & ! [v0: bool] : ! [v1: bool] : !
% 78.66/11.30 [v2: fun_fu1438281908l_bool] : ! [v3: fun_fu2065874474l_bool] : (v1 = v0 | ~
% 78.66/11.30 (hAPP_f595608956l_bool(v3, v2) = v1) | ~ (hAPP_f595608956l_bool(v3, v2) =
% 78.66/11.30 v0)) & ! [v0: bool] : ! [v1: bool] : ! [v2: fun_fu1783763359l_bool] :
% 78.66/11.30 ! [v3: fun_fu64031073l_bool] : (v1 = v0 | ~ (hAPP_f1526158591l_bool(v3, v2) =
% 78.66/11.30 v1) | ~ (hAPP_f1526158591l_bool(v3, v2) = v0)) & ! [v0:
% 78.66/11.30 fun_fu1430349052l_bool] : ! [v1: fun_fu1430349052l_bool] : ! [v2:
% 78.66/11.30 fun_pname_bool] : ! [v3: fun_fu802393907l_bool] : (v1 = v0 | ~
% 78.66/11.30 (hAPP_f434788991l_bool(v3, v2) = v1) | ~ (hAPP_f434788991l_bool(v3, v2) =
% 78.66/11.30 v0)) & ! [v0: bool] : ! [v1: bool] : ! [v2: fun_pname_bool] : ! [v3:
% 78.66/11.30 fun_fu1430349052l_bool] : (v1 = v0 | ~ (hAPP_f1664156314l_bool(v3, v2) =
% 78.66/11.30 v1) | ~ (hAPP_f1664156314l_bool(v3, v2) = v0)) & ! [v0: bool] : ! [v1:
% 78.66/11.30 bool] : ! [v2: fun_fu1430349052l_bool] : ! [v3: fun_fu399576434l_bool] :
% 78.66/11.30 (v1 = v0 | ~ (hAPP_f1935102916l_bool(v3, v2) = v1) | ~
% 78.66/11.30 (hAPP_f1935102916l_bool(v3, v2) = v0)) & ! [v0: com] : ! [v1: com] : !
% 78.66/11.30 [v2: pname] : ! [v3: fun_pname_com] : (v1 = v0 | ~ (hAPP_pname_com(v3, v2) =
% 78.66/11.30 v1) | ~ (hAPP_pname_com(v3, v2) = v0)) & ! [v0: option_com] : ! [v1:
% 78.66/11.30 option_com] : ! [v2: pname] : ! [v3: fun_pname_option_com] : (v1 = v0 | ~
% 78.66/11.30 (hAPP_p799580910on_com(v3, v2) = v1) | ~ (hAPP_p799580910on_com(v3, v2) =
% 78.66/11.30 v0)) & ! [v0: com] : ! [v1: com] : ! [v2: option_com] : ! [v3:
% 78.66/11.30 fun_option_com_com] : (v1 = v0 | ~ (hAPP_option_com_com(v3, v2) = v1) | ~
% 78.66/11.30 (hAPP_option_com_com(v3, v2) = v0)) & ! [v0: hoare_1848483303_state] : !
% 78.66/11.30 [v1: hoare_1848483303_state] : ! [v2: com] : ! [v3: fun_co1814942666_state]
% 78.66/11.30 : (v1 = v0 | ~ (hAPP_c379084956_state(v3, v2) = v1) | ~
% 78.66/11.30 (hAPP_c379084956_state(v3, v2) = v0)) & ! [v0: fun_Ho734851753e_bool] : !
% 78.66/11.30 [v1: fun_Ho734851753e_bool] : ! [v2: fun_Ho734851753e_bool] : ! [v3:
% 78.66/11.30 hoare_1848483303_state] : (v1 = v0 | ~ (insert668001005_state(v3, v2) = v1)
% 78.66/11.30 | ~ (insert668001005_state(v3, v2) = v0)) & ! [v0: fun_fu1783763359l_bool]
% 78.66/11.30 : ! [v1: fun_fu1783763359l_bool] : ! [v2: fun_Ho734851753e_bool] : ! [v3:
% 78.66/11.30 fun_fu1478462177l_bool] : (v1 = v0 | ~ (hAPP_f15397171l_bool(v3, v2) = v1)
% 78.66/11.30 | ~ (hAPP_f15397171l_bool(v3, v2) = v0)) & ! [v0: bool] : ! [v1: bool] :
% 78.66/11.30 ! [v2: fun_Ho734851753e_bool] : ! [v3: fun_fu1783763359l_bool] : (v1 = v0 |
% 78.66/11.30 ~ (hAPP_f355887345l_bool(v3, v2) = v1) | ~ (hAPP_f355887345l_bool(v3, v2) =
% 78.66/11.30 v0)) & ! [v0: fun_fu1137856163l_bool] : ! [v1: fun_fu1137856163l_bool] :
% 78.66/11.30 ! [v2: fun_fu1259080373l_bool] : (v1 = v0 | ~ (cOMBC_1100692246l_bool(v2) =
% 78.66/11.30 v1) | ~ (cOMBC_1100692246l_bool(v2) = v0)) & ! [v0:
% 78.66/11.30 fun_fu2087345469l_bool] : ! [v1: fun_fu2087345469l_bool] : ! [v2:
% 78.66/11.30 fun_fu931343505l_bool] : (v1 = v0 | ~ (cOMBC_1988546018l_bool(v2) = v1) |
% 78.66/11.30 ~ (cOMBC_1988546018l_bool(v2) = v0)) & ! [v0: fun_fu77875581e_bool] : !
% 78.66/11.30 [v1: fun_fu77875581e_bool] : ! [v2: fun_Ho1489168363l_bool] : (v1 = v0 | ~
% 78.66/11.30 (cOMBC_1803918242l_bool(v2) = v1) | ~ (cOMBC_1803918242l_bool(v2) = v0)) &
% 78.66/11.30 ! [v0: fun_fu410713561e_bool] : ! [v1: fun_fu410713561e_bool] : ! [v2:
% 78.66/11.30 fun_pn422929397l_bool] : (v1 = v0 | ~ (cOMBC_1058051404l_bool(v2) = v1) |
% 78.66/11.30 ~ (cOMBC_1058051404l_bool(v2) = v0)) & ! [v0: fun_Ho1480763635e_bool] : !
% 78.66/11.30 [v1: fun_Ho1480763635e_bool] : ! [v2: fun_Ho1480763635e_bool] : (v1 = v0 | ~
% 78.66/11.30 (cOMBC_1947058646e_bool(v2) = v1) | ~ (cOMBC_1947058646e_bool(v2) = v0)) &
% 78.66/11.30 ! [v0: fun_pn800050071e_bool] : ! [v1: fun_pn800050071e_bool] : ! [v2:
% 78.66/11.30 fun_pn800050071e_bool] : (v1 = v0 | ~ (cOMBC_1149511130e_bool(v2) = v1) |
% 78.66/11.30 ~ (cOMBC_1149511130e_bool(v2) = v0)) & ! [v0: fun_pname_bool] : ! [v1:
% 78.66/11.30 fun_pname_bool] : ! [v2: bool] : (v1 = v0 | ~ (cOMBK_bool_pname(v2) = v1)
% 78.66/11.30 | ~ (cOMBK_bool_pname(v2) = v0)) & ! [v0: fun_Ho734851753e_bool] : ! [v1:
% 78.66/11.30 fun_Ho734851753e_bool] : ! [v2: bool] : (v1 = v0 | ~
% 78.66/11.30 (cOMBK_2059960192_state(v2) = v1) | ~ (cOMBK_2059960192_state(v2) = v0)) &
% 78.66/11.30 ! [v0: fun_fu1430349052l_bool] : ! [v1: fun_fu1430349052l_bool] : ! [v2:
% 78.66/11.30 bool] : (v1 = v0 | ~ (cOMBK_1857069011e_bool(v2) = v1) | ~
% 78.66/11.30 (cOMBK_1857069011e_bool(v2) = v0)) & ! [v0: fun_fu1783763359l_bool] : !
% 78.66/11.30 [v1: fun_fu1783763359l_bool] : ! [v2: bool] : (v1 = v0 | ~
% 78.66/11.30 (cOMBK_2110745040e_bool(v2) = v1) | ~ (cOMBK_2110745040e_bool(v2) = v0)) &
% 78.66/11.30 ! [v0: fun_fu64031073l_bool] : ! [v1: fun_fu64031073l_bool] : ! [v2: bool] :
% 78.66/11.30 (v1 = v0 | ~ (cOMBK_2014663096l_bool(v2) = v1) | ~
% 78.66/11.30 (cOMBK_2014663096l_bool(v2) = v0)) & ! [v0: bool] : ! [v1: bool] : ! [v2:
% 78.66/11.30 com] : (v1 = v0 | ~ (wt(v2) = v1) | ~ (wt(v2) = v0)) & ! [v0:
% 78.66/11.30 fun_fu1783763359l_bool] : ! [v1: fun_fu1783763359l_bool] : ! [v2:
% 78.66/11.30 fun_fu549469569on_com] : (v1 = v0 | ~ (dom_fu475558963ol_com(v2) = v1) | ~
% 78.66/11.30 (dom_fu475558963ol_com(v2) = v0)) & ! [v0: fun_fu1430349052l_bool] : !
% 78.66/11.30 [v1: fun_fu1430349052l_bool] : ! [v2: fun_fu799392094on_com] : (v1 = v0 | ~
% 78.66/11.30 (dom_fu2081503504ol_com(v2) = v1) | ~ (dom_fu2081503504ol_com(v2) = v0)) &
% 78.66/11.30 ! [v0: option_com] : ! [v1: option_com] : ! [v2: com] : (v1 = v0 | ~
% 78.66/11.30 (some_com(v2) = v1) | ~ (some_com(v2) = v0)) & ! [v0: fun_pname_bool] : !
% 78.66/11.30 [v1: fun_pname_bool] : ! [v2: fun_pname_option_com] : (v1 = v0 | ~
% 78.66/11.30 (dom_pname_com(v2) = v1) | ~ (dom_pname_com(v2) = v0)) & ! [v0:
% 78.66/11.30 fun_fu891110808_pname] : ! [v1: fun_fu891110808_pname] : ! [v2: pname] :
% 78.66/11.30 (v1 = v0 | ~ (cOMBK_1423274227e_bool(v2) = v1) | ~
% 78.66/11.30 (cOMBK_1423274227e_bool(v2) = v0)) & ! [v0: fun_fu1499449723_pname] : !
% 78.66/11.30 [v1: fun_fu1499449723_pname] : ! [v2: pname] : (v1 = v0 | ~
% 78.66/11.30 (cOMBK_948730864e_bool(v2) = v1) | ~ (cOMBK_948730864e_bool(v2) = v0)) & !
% 78.66/11.30 [v0: fun_fu1404623273_state] : ! [v1: fun_fu1404623273_state] : ! [v2:
% 78.66/11.30 hoare_1848483303_state] : (v1 = v0 | ~ (cOMBK_1270376774e_bool(v2) = v1) |
% 78.66/11.30 ~ (cOMBK_1270376774e_bool(v2) = v0)) & ! [v0: fun_fu1387033222_state] : !
% 78.66/11.30 [v1: fun_fu1387033222_state] : ! [v2: hoare_1848483303_state] : (v1 = v0 | ~
% 78.66/11.30 (cOMBK_354802397e_bool(v2) = v1) | ~ (cOMBK_354802397e_bool(v2) = v0)) & !
% 78.66/11.30 [v0: fun_pname_pname] : ! [v1: fun_pname_pname] : ! [v2: pname] : (v1 = v0 |
% 78.66/11.30 ~ (cOMBK_pname_pname(v2) = v1) | ~ (cOMBK_pname_pname(v2) = v0)) & ! [v0:
% 78.66/11.30 fun_pn2079317538e_bool] : ! [v1: fun_pn2079317538e_bool] : ! [v2:
% 78.66/11.30 fun_Ho734851753e_bool] : (v1 = v0 | ~ (cOMBK_1197227241_pname(v2) = v1) |
% 78.66/11.30 ~ (cOMBK_1197227241_pname(v2) = v0)) & ! [v0: fun_pn800050071e_bool] : !
% 78.66/11.30 [v1: fun_pn800050071e_bool] : ! [v2: fun_pname_bool] : (v1 = v0 | ~
% 78.66/11.30 (cOMBK_37193422_pname(v2) = v1) | ~ (cOMBK_37193422_pname(v2) = v0)) & !
% 78.66/11.30 [v0: fun_Ho1480763635e_bool] : ! [v1: fun_Ho1480763635e_bool] : ! [v2:
% 78.66/11.30 fun_Ho734851753e_bool] : (v1 = v0 | ~ (cOMBK_1751623554_state(v2) = v1) |
% 78.66/11.30 ~ (cOMBK_1751623554_state(v2) = v0)) & ! [v0: fun_Ho585232518e_bool] : !
% 78.66/11.30 [v1: fun_Ho585232518e_bool] : ! [v2: fun_pname_bool] : (v1 = v0 | ~
% 78.66/11.30 (cOMBK_1288377053_state(v2) = v1) | ~ (cOMBK_1288377053_state(v2) = v0)) &
% 78.66/11.30 ! [v0: fun_Ho862234382_pname] : ! [v1: fun_Ho862234382_pname] : ! [v2:
% 78.66/11.30 pname] : (v1 = v0 | ~ (cOMBK_1568566301_state(v2) = v1) | ~
% 78.66/11.30 (cOMBK_1568566301_state(v2) = v0)) & ! [v0: fun_pn447269700_state] : !
% 78.66/11.30 [v1: fun_pn447269700_state] : ! [v2: hoare_1848483303_state] : (v1 = v0 | ~
% 78.66/11.30 (cOMBK_240819937_pname(v2) = v1) | ~ (cOMBK_240819937_pname(v2) = v0)) & !
% 78.66/11.30 [v0: fun_Ho734851753e_bool] : ! [v1: fun_Ho734851753e_bool] : ! [v2:
% 78.66/11.30 fun_Ho734851753e_bool] : (v1 = v0 | ~ (collec1708318610_state(v2) = v1) |
% 78.66/11.30 ~ (collec1708318610_state(v2) = v0)) & ! [v0: fun_pname_bool] : ! [v1:
% 78.66/11.30 fun_pname_bool] : ! [v2: fun_pname_bool] : (v1 = v0 | ~ (collect_pname(v2)
% 78.66/11.30 = v1) | ~ (collect_pname(v2) = v0)) & ! [v0: fun_fu1911931399l_bool] :
% 78.66/11.30 ! [v1: fun_fu1911931399l_bool] : ! [v2: fun_fu1911931399l_bool] : (v1 = v0 |
% 78.66/11.30 ~ (cOMBC_7971162l_bool(v2) = v1) | ~ (cOMBC_7971162l_bool(v2) = v0)) & !
% 78.66/11.30 [v0: fun_fu399576434l_bool] : ! [v1: fun_fu399576434l_bool] : ! [v2:
% 78.66/11.30 fun_fu399576434l_bool] : (v1 = v0 | ~ (collec1613912337l_bool(v2) = v1) |
% 78.66/11.30 ~ (collec1613912337l_bool(v2) = v0)) & ! [v0: fun_fu1483785331l_bool] : !
% 78.66/11.30 [v1: fun_fu1483785331l_bool] : ! [v2: fun_fu1483785331l_bool] : (v1 = v0 | ~
% 78.66/11.30 (cOMBC_1690116422l_bool(v2) = v1) | ~ (cOMBC_1690116422l_bool(v2) = v0)) &
% 78.66/11.30 ! [v0: fun_fu64031073l_bool] : ! [v1: fun_fu64031073l_bool] : ! [v2:
% 78.66/11.30 fun_fu64031073l_bool] : (v1 = v0 | ~ (collec2020384458l_bool(v2) = v1) | ~
% 78.66/11.30 (collec2020384458l_bool(v2) = v0)) & ! [v0: fun_fu325884881l_bool] : !
% 78.66/11.30 [v1: fun_fu325884881l_bool] : ! [v2: fun_fu325884881l_bool] : (v1 = v0 | ~
% 78.66/11.30 (cOMBC_1420373658l_bool(v2) = v1) | ~ (cOMBC_1420373658l_bool(v2) = v0)) &
% 78.66/11.30 ! [v0: fun_fu1690815831l_bool] : ! [v1: fun_fu1690815831l_bool] : ! [v2:
% 78.66/11.30 fun_fu1690815831l_bool] : (v1 = v0 | ~ (collec1616186998l_bool(v2) = v1) |
% 78.66/11.30 ~ (collec1616186998l_bool(v2) = v0)) & ! [v0: fun_fu1086940979l_bool] : !
% 78.66/11.30 [v1: fun_fu1086940979l_bool] : ! [v2: fun_fu1086940979l_bool] : (v1 = v0 | ~
% 78.66/11.30 (cOMBC_336095980l_bool(v2) = v1) | ~ (cOMBC_336095980l_bool(v2) = v0)) & !
% 78.66/11.30 [v0: fun_fu1438281908l_bool] : ! [v1: fun_fu1438281908l_bool] : ! [v2:
% 78.66/11.30 fun_fu1438281908l_bool] : (v1 = v0 | ~ (collec792590109l_bool(v2) = v1) |
% 78.66/11.30 ~ (collec792590109l_bool(v2) = v0)) & ! [v0: fun_fu1478462177l_bool] : !
% 78.66/11.30 [v1: fun_fu1478462177l_bool] : ! [v2: fun_fu1478462177l_bool] : (v1 = v0 | ~
% 78.66/11.30 (cOMBC_80545690l_bool(v2) = v1) | ~ (cOMBC_80545690l_bool(v2) = v0)) & !
% 78.66/11.30 [v0: fun_fu1783763359l_bool] : ! [v1: fun_fu1783763359l_bool] : ! [v2:
% 78.66/11.30 fun_fu1783763359l_bool] : (v1 = v0 | ~ (collec1657840446e_bool(v2) = v1) |
% 78.66/11.30 ~ (collec1657840446e_bool(v2) = v0)) & ! [v0: fun_fu802393907l_bool] : !
% 78.66/11.30 [v1: fun_fu802393907l_bool] : ! [v2: fun_fu802393907l_bool] : (v1 = v0 | ~
% 78.66/11.30 (cOMBC_1284144636l_bool(v2) = v1) | ~ (cOMBC_1284144636l_bool(v2) = v0)) &
% 78.66/11.30 ! [v0: fun_fu1430349052l_bool] : ! [v1: fun_fu1430349052l_bool] : ! [v2:
% 78.66/11.30 fun_fu1430349052l_bool] : (v1 = v0 | ~ (collec1974731493e_bool(v2) = v1) |
% 78.66/11.30 ~ (collec1974731493e_bool(v2) = v0)) & ! [v0: fun_fu1783763359l_bool] : !
% 78.66/11.30 [v1: fun_fu1783763359l_bool] : ! [v2: fun_Ho734851753e_bool] : (v1 = v0 | ~
% 78.66/11.30 (hoare_1193527299_state(v2) = v1) | ~ (hoare_1193527299_state(v2) = v0)) &
% 78.66/11.30 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: bool] : (v1 =
% 78.66/11.30 v0 | ~ (hBOOL(v2) = v1) | ~ (hBOOL(v2) = v0))
% 78.66/11.30
% 78.66/11.30 Further assumptions not needed in the proof:
% 78.66/11.30 --------------------------------------------
% 78.66/11.30 conj_2, fact_100_subset__singletonD, fact_101_subset__singletonD,
% 78.66/11.30 fact_102_subset__singletonD, fact_105_emptyE, fact_106_emptyE, fact_107_emptyE,
% 78.66/11.30 fact_108_insertCI, fact_109_insertCI, fact_10_finite__Collect__subsets,
% 78.66/11.30 fact_110_insertCI, fact_111_insertCI, fact_112_insertE, fact_113_insertE,
% 78.66/11.30 fact_114_insertE, fact_115_insertE, fact_116_equalityI, fact_117_equalityI,
% 78.66/11.30 fact_118_equalityI, fact_119_equalityI, fact_11_finite__Collect__subsets,
% 78.66/11.30 fact_121_subsetD, fact_122_subsetD, fact_123_subsetD, fact_124_image__eqI,
% 78.66/11.30 fact_125_image__eqI, fact_126_image__eqI, fact_127_image__eqI,
% 78.66/11.30 fact_128_image__eqI, fact_129_image__eqI, fact_12_finite__Collect__subsets,
% 78.66/11.30 fact_130_image__eqI, fact_131_image__eqI, fact_132_image__eqI,
% 78.66/11.30 fact_133_image__eqI, fact_134_image__eqI, fact_135_equals0D, fact_136_equals0D,
% 78.66/11.30 fact_137_equals0D, fact_138_equals0D, fact_139_Collect__empty__eq,
% 78.66/11.30 fact_13_finite__Collect__subsets, fact_140_Collect__empty__eq,
% 78.66/11.30 fact_141_Collect__empty__eq, fact_142_Collect__empty__eq,
% 78.66/11.30 fact_143_Collect__empty__eq, fact_144_Collect__empty__eq, fact_145_empty__iff,
% 78.66/11.30 fact_146_empty__iff, fact_148_empty__iff, fact_149_empty__Collect__eq,
% 78.66/11.30 fact_14_finite__imageI, fact_150_empty__Collect__eq,
% 78.66/11.30 fact_151_empty__Collect__eq, fact_152_empty__Collect__eq,
% 78.66/11.30 fact_153_empty__Collect__eq, fact_154_empty__Collect__eq, fact_155_ex__in__conv,
% 78.66/11.30 fact_156_ex__in__conv, fact_157_ex__in__conv, fact_158_ex__in__conv,
% 78.66/11.30 fact_159_all__not__in__conv, fact_15_finite__imageI,
% 78.66/11.30 fact_160_all__not__in__conv, fact_161_all__not__in__conv,
% 78.66/11.30 fact_162_all__not__in__conv, fact_163_empty__def, fact_164_empty__def,
% 78.66/11.30 fact_165_empty__def, fact_167_empty__def, fact_168_insert__absorb,
% 78.66/11.30 fact_16_finite__imageI, fact_170_insertI2, fact_171_insertI2,
% 78.66/11.30 fact_172_insert__ident, fact_174_insert__code, fact_175_insert__code,
% 78.66/11.30 fact_176_insert__iff, fact_177_insert__iff, fact_178_insert__commute,
% 78.66/11.30 fact_179_insert__commute, fact_17_finite__imageI, fact_180_insert__absorb2,
% 78.66/11.30 fact_182_insert__Collect, fact_183_insert__Collect, fact_184_insert__Collect,
% 78.66/11.30 fact_185_insert__Collect, fact_186_insert__compr, fact_187_insert__compr,
% 78.66/11.30 fact_188_insert__compr, fact_189_insert__compr, fact_18_finite__imageI,
% 78.66/11.30 fact_190_insertI1, fact_191_insertI1, fact_192_equalityE, fact_193_equalityE,
% 78.66/11.30 fact_194_subset__trans, fact_196_set__mp, fact_198_set__rev__mp,
% 78.66/11.30 fact_19_finite__imageI, fact_200_in__mono, fact_202_equalityD2,
% 78.66/11.30 fact_203_equalityD2, fact_204_equalityD1, fact_205_equalityD1,
% 78.66/11.30 fact_206_set__eq__subset, fact_207_set__eq__subset, fact_208_subset__refl,
% 78.66/11.30 fact_209_subset__refl, fact_20_finite__imageI, fact_210_rev__image__eqI,
% 78.66/11.30 fact_211_imageI, fact_213_finite__Collect__disjI,
% 78.66/11.30 fact_214_finite__Collect__disjI, fact_215_finite__Collect__disjI,
% 78.66/11.30 fact_216_finite__Collect__disjI, fact_217_insert__compr__raw,
% 78.66/11.30 fact_218_insert__compr__raw, fact_219_insert__compr__raw,
% 78.66/11.30 fact_21_finite__imageI, fact_220_insert__compr__raw, fact_221_singleton__inject,
% 78.66/11.30 fact_222_singleton__inject, fact_223_singletonE, fact_224_singletonE,
% 78.66/11.30 fact_225_doubleton__eq__iff, fact_226_doubleton__eq__iff,
% 78.66/11.30 fact_227_singleton__iff, fact_228_singleton__iff, fact_229_insert__not__empty,
% 78.66/11.30 fact_22_finite__imageI, fact_230_insert__not__empty,
% 78.66/11.30 fact_231_empty__not__insert, fact_232_empty__not__insert,
% 78.66/11.30 fact_233_finite__insert, fact_234_finite__insert, fact_235_finite__insert,
% 78.66/11.30 fact_236_finite__insert, fact_237_subset__empty, fact_238_subset__empty,
% 78.66/11.30 fact_239_image__is__empty, fact_23_finite__imageI, fact_240_image__empty,
% 78.66/11.30 fact_241_empty__is__image, fact_242_finite__subset, fact_243_finite__subset,
% 78.66/11.30 fact_244_finite__subset, fact_246_rev__finite__subset,
% 78.66/11.30 fact_247_rev__finite__subset, fact_248_rev__finite__subset,
% 78.66/11.30 fact_24_finite__imageI, fact_250_insert__mono, fact_251_insert__mono,
% 78.66/11.30 fact_252_mem__def, fact_254_Collect__def, fact_256_Collect__def,
% 78.66/11.30 fact_257_Collect__def, fact_258_subset__insertI2, fact_259_subset__insertI2,
% 78.66/11.30 fact_25_finite__imageI, fact_260_subset__insert, fact_261_subset__insert,
% 78.66/11.30 fact_262_insert__subset, fact_263_insert__subset, fact_264_subset__insertI,
% 78.66/11.30 fact_265_subset__insertI, fact_266_insert__image, fact_267_image__insert,
% 78.66/11.30 fact_268_image__mono, fact_26_finite__imageI, fact_270_domI,
% 78.66/11.30 fact_271_Collect__conv__if, fact_272_Collect__conv__if,
% 78.66/11.30 fact_273_Collect__conv__if, fact_274_Collect__conv__if,
% 78.66/11.30 fact_275_Collect__conv__if2, fact_276_Collect__conv__if2,
% 78.66/11.30 fact_277_Collect__conv__if2, fact_278_Collect__conv__if2,
% 78.66/11.30 fact_279_singleton__conv, fact_27_finite__imageI, fact_280_singleton__conv,
% 78.66/11.30 fact_281_singleton__conv, fact_282_singleton__conv, fact_283_singleton__conv2,
% 78.66/11.30 fact_284_singleton__conv2, fact_285_singleton__conv2, fact_286_singleton__conv2,
% 78.66/11.30 fact_289_imageE, fact_28_finite__imageI, fact_290_finite__subset__induct,
% 78.66/11.30 fact_291_finite__subset__induct, fact_292_finite__subset__induct,
% 78.66/11.30 fact_293_finite__subset__induct, fact_294_WTs__elim__cases_I7_J,
% 78.66/11.30 fact_295_subsetI, fact_296_subsetI, fact_297_finite__subset__image,
% 78.66/11.30 fact_299_com_Osimps_I6_J, fact_29_finite__imageI, fact_30_finite__imageI,
% 78.66/11.30 fact_31_finite__imageI, fact_32_finite__imageI, fact_33_empty__subsetI,
% 78.66/11.30 fact_34_empty__subsetI, fact_35_empty__subsetI, fact_36_empty__subsetI,
% 78.66/11.30 fact_37_finite_OinsertI, fact_38_finite_OinsertI, fact_39_finite_OinsertI,
% 78.66/11.30 fact_3_thin, fact_40_finite_OinsertI, fact_41_finite_OinsertI,
% 78.66/11.30 fact_42_finite_OinsertI, fact_43_finite_OemptyI, fact_44_finite_OemptyI,
% 78.66/11.30 fact_45_finite_OemptyI, fact_46_finite_OemptyI, fact_47_finite_OemptyI,
% 78.66/11.30 fact_48_finite_OemptyI, fact_49_finite__Collect__conjI,
% 78.66/11.30 fact_50_finite__Collect__conjI, fact_51_finite__Collect__conjI,
% 78.66/11.30 fact_52_finite__Collect__conjI, fact_53_finite__Collect__conjI,
% 78.66/11.30 fact_54_finite__Collect__conjI, fact_55_image__constant__conv,
% 78.66/11.30 fact_56_image__constant__conv, fact_57_image__constant__conv,
% 78.66/11.30 fact_58_image__constant__conv, fact_59_image__constant__conv,
% 78.66/11.30 fact_60_image__constant__conv, fact_61_image__constant__conv,
% 78.66/11.30 fact_62_image__constant__conv, fact_63_image__constant__conv,
% 78.66/11.30 fact_64_image__constant__conv, fact_65_image__constant__conv,
% 78.66/11.30 fact_66_image__constant, fact_67_image__constant, fact_68_image__constant,
% 78.66/11.30 fact_69_image__constant, fact_70_image__constant, fact_71_image__constant,
% 78.66/11.30 fact_72_image__constant, fact_73_image__constant, fact_74_image__constant,
% 78.66/11.30 fact_75_image__constant, fact_76_image__constant, fact_77_insert__dom,
% 78.66/11.30 fact_78_insert__dom, fact_79_insert__dom, fact_7_MGT__BodyN,
% 78.66/11.30 fact_80_finite__surj, fact_81_finite__surj, fact_82_finite__surj,
% 78.66/11.30 fact_83_finite__surj, fact_84_finite__surj, fact_85_finite__surj,
% 78.66/11.30 fact_86_finite__surj, fact_87_finite__surj, fact_88_finite__surj,
% 78.66/11.30 fact_89_finite__surj, fact_8_finite__Collect__subsets, fact_90_finite__surj,
% 78.66/11.30 fact_91_finite__surj, fact_92_finite__surj, fact_93_finite__surj,
% 78.66/11.30 fact_94_finite__surj, fact_95_finite__surj, fact_96_finite__surj,
% 78.66/11.30 fact_97_finite__surj, fact_98_finite__surj, fact_99_subset__singletonD,
% 78.66/11.30 fact_9_finite__Collect__subsets,
% 78.66/11.30 help_COMBB_1_1_COMBB_000tc__Com__Ocom_000tc__Hoare____Mirabelle____yiemogtkbg__O,
% 78.66/11.30 help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Com__Opname_U,
% 78.66/11.30 help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Hoare____Mirabel,
% 78.66/11.31 help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__Com__Op,
% 78.66/11.31 help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__Hoare__,
% 78.66/11.31 help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo,
% 78.66/11.31 help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_065,
% 78.66/11.31 help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_067,
% 78.66/11.31 help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_068,
% 78.66/11.31 help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_070,
% 78.66/11.31 help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_074,
% 78.66/11.31 help_COMBB_1_1_COMBB_000tc__Option__Ooption_Itc__Com__Ocom_J_000tc__Com__Ocom_00,
% 78.66/11.31 help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__Com__Opname_000tc__HOL__Obool_U,
% 78.66/11.31 help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob,
% 78.66/11.31 help_COMBC_1_1_COMBC_000tc__Hoare____Mirabelle____yiemogtkbg__Otriple_Itc__Com__,
% 78.66/11.31 help_COMBC_1_1_COMBC_000tc__Hoare____Mirabelle____yiemogtkbg__Otriple_Itc__Com___073,
% 78.66/11.31 help_COMBC_1_1_COMBC_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It,
% 78.66/11.31 help_COMBC_1_1_COMBC_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It_069,
% 78.66/11.31 help_COMBC_1_1_COMBC_000tc__fun_Itc__Hoare____Mirabelle____yiemogtkbg__Otriple_I,
% 78.66/11.31 help_COMBC_1_1_COMBC_000tc__fun_Itc__Hoare____Mirabelle____yiemogtkbg__Otriple_I_075,
% 78.66/11.31 help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc_,
% 78.66/11.31 help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__Hoare____Mirabelle____yiemogtkbg__,
% 78.66/11.31 help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obo,
% 78.66/11.31 help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__fun_Itc__Hoare____Mirabelle____yie,
% 78.66/11.31 help_COMBK_1_1_COMBK_000tc__Com__Opname_000tc__Com__Opname_U,
% 78.66/11.31 help_COMBK_1_1_COMBK_000tc__Com__Opname_000tc__Hoare____Mirabelle____yiemogtkbg_,
% 78.66/11.31 help_COMBK_1_1_COMBK_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob,
% 78.66/11.31 help_COMBK_1_1_COMBK_000tc__Com__Opname_000tc__fun_Itc__Hoare____Mirabelle____yi,
% 78.66/11.31 help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Opname_U,
% 78.66/11.31 help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Hoare____Mirabelle____yiemogtkbg__,
% 78.66/11.31 help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obo,
% 78.66/11.31 help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Hoare____Mirabelle____yie,
% 78.66/11.31 help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__Hoare____Mirabel,
% 78.66/11.31 help_COMBK_1_1_COMBK_000tc__Hoare____Mirabelle____yiemogtkbg__Otriple_Itc__Com__,
% 78.66/11.31 help_COMBK_1_1_COMBK_000tc__Hoare____Mirabelle____yiemogtkbg__Otriple_Itc__Com___066,
% 78.66/11.31 help_COMBK_1_1_COMBK_000tc__Hoare____Mirabelle____yiemogtkbg__Otriple_Itc__Com___071,
% 78.66/11.31 help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Com__O,
% 78.66/11.31 help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Hoare_,
% 78.66/11.31 help_COMBK_1_1_COMBK_000tc__fun_Itc__Hoare____Mirabelle____yiemogtkbg__Otriple_I,
% 78.66/11.31 help_COMBK_1_1_COMBK_000tc__fun_Itc__Hoare____Mirabelle____yiemogtkbg__Otriple_I_072,
% 78.66/11.31 help_COMBS_1_1_COMBS_000tc__Com__Opname_000tc__HOL__Obool_000tc__HOL__Obool_U,
% 78.66/11.31 help_COMBS_1_1_COMBS_000tc__Hoare____Mirabelle____yiemogtkbg__Otriple_Itc__Com__,
% 78.66/11.31 help_COMBS_1_1_COMBS_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__HOL__O,
% 78.66/11.31 help_COMBS_1_1_COMBS_000tc__fun_Itc__Hoare____Mirabelle____yiemogtkbg__Otriple_I,
% 78.66/11.31 help_COMBS_1_1_COMBS_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc_,
% 78.66/11.31 help_COMBS_1_1_COMBS_000tc__fun_Itc__fun_Itc__Hoare____Mirabelle____yiemogtkbg__,
% 78.66/11.31 help_fFalse_1_1_T, help_fFalse_1_1_U, help_fNot_1_1_U, help_fNot_2_1_U,
% 78.66/11.31 help_fconj_1_1_U, help_fconj_2_1_U, help_fconj_3_1_U, help_fdisj_1_1_U,
% 78.66/11.31 help_fdisj_2_1_U, help_fdisj_3_1_U, help_fequal_1_1_fequal_000tc__Com__Opname_T,
% 78.66/11.31 help_fequal_1_1_fequal_000tc__Hoare____Mirabelle____yiemogtkbg__Otriple_Itc__Com,
% 78.66/11.31 help_fequal_1_1_fequal_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_T,
% 78.66/11.31 help_fequal_1_1_fequal_000tc__fun_Itc__Hoare____Mirabelle____yiemogtkbg__Otriple,
% 78.88/11.31 help_fequal_2_1_fequal_000tc__Com__Opname_T,
% 78.88/11.31 help_fequal_2_1_fequal_000tc__Hoare____Mirabelle____yiemogtkbg__Otriple_Itc__Com,
% 78.88/11.31 help_fequal_2_1_fequal_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_T,
% 78.88/11.31 help_fequal_2_1_fequal_000tc__fun_Itc__Hoare____Mirabelle____yiemogtkbg__Otriple,
% 78.88/11.31 help_fimplies_1_1_U, help_fimplies_2_1_U, help_fimplies_3_1_U
% 78.88/11.31
% 78.88/11.31 Those formulas are unsatisfiable:
% 78.88/11.31 ---------------------------------
% 78.88/11.31
% 78.88/11.31 Begin of proof
% 78.88/11.31 |
% 78.88/11.31 | ALPHA: (fact_0_empty) implies:
% 78.88/11.31 | (1) ! [v0: fun_Ho734851753e_bool] : ! [v1: fun_fu1783763359l_bool] : ( ~
% 78.88/11.31 | (hoare_1193527299_state(v0) = v1) | ~ fun_Ho734851753e_bool(v0) | ?
% 78.88/11.31 | [v2: bool] : (hAPP_f355887345l_bool(v1, bot_bo454148287e_bool) = v2 &
% 78.88/11.31 | hBOOL(v2) = 0 & bool(v2)))
% 78.88/11.31 |
% 78.88/11.31 | ALPHA: (fact_1_asm) implies:
% 78.88/11.31 | (2) ! [v0: fun_Ho734851753e_bool] : ! [v1: fun_Ho734851753e_bool] : !
% 78.88/11.31 | [v2: fun_fu1783763359l_bool] : ! [v3: bool] : ( ~
% 78.88/11.31 | (hAPP_f15397171l_bool(ord_le1119700979e_bool, v0) = v2) | ~
% 78.88/11.31 | (hAPP_f355887345l_bool(v2, v1) = v3) | ~ fun_Ho734851753e_bool(v1) |
% 78.88/11.31 | ~ fun_Ho734851753e_bool(v0) | ? [v4: any] : ? [v5:
% 78.88/11.31 | fun_fu1783763359l_bool] : ? [v6: bool] : ? [v7: any] :
% 78.88/11.31 | (hoare_1193527299_state(v1) = v5 & hAPP_f355887345l_bool(v5, v0) = v6
% 78.88/11.31 | & hBOOL(v6) = v7 & hBOOL(v3) = v4 & fun_fu1783763359l_bool(v5) &
% 78.88/11.31 | bool(v6) & ( ~ (v4 = 0) | v7 = 0)))
% 78.88/11.31 |
% 78.88/11.31 | ALPHA: (fact_2_weaken) implies:
% 78.88/11.31 | (3) ! [v0: fun_Ho734851753e_bool] : ! [v1: fun_Ho734851753e_bool] : !
% 78.88/11.31 | [v2: fun_Ho734851753e_bool] : ! [v3: fun_fu1783763359l_bool] : ! [v4:
% 78.88/11.31 | fun_fu1783763359l_bool] : ! [v5: bool] : ! [v6: bool] : ( ~
% 78.88/11.31 | (hAPP_f15397171l_bool(ord_le1119700979e_bool, v0) = v4) | ~
% 78.88/11.31 | (hoare_1193527299_state(v1) = v3) | ~ (hAPP_f355887345l_bool(v4, v2)
% 78.88/11.31 | = v5) | ~ (hAPP_f355887345l_bool(v3, v0) = v6) | ~
% 78.88/11.31 | fun_Ho734851753e_bool(v2) | ~ fun_Ho734851753e_bool(v1) | ~
% 78.88/11.31 | fun_Ho734851753e_bool(v0) | ? [v7: bool] : ? [v8: any] : ? [v9:
% 78.88/11.31 | any] : ? [v10: any] : (hAPP_f355887345l_bool(v3, v2) = v7 &
% 78.88/11.31 | hBOOL(v7) = v8 & hBOOL(v6) = v10 & hBOOL(v5) = v9 & bool(v7) & ( ~
% 78.88/11.31 | (v9 = 0) | ~ (v8 = 0) | v10 = 0)))
% 78.88/11.31 |
% 78.88/11.31 | ALPHA: (fact_5_hoare__derivs_Oinsert) implies:
% 78.88/11.31 | (4) ! [v0: fun_Ho734851753e_bool] : ! [v1: fun_Ho734851753e_bool] : !
% 78.88/11.31 | [v2: hoare_1848483303_state] : ! [v3: fun_fu1783763359l_bool] : !
% 78.88/11.31 | [v4: fun_Ho734851753e_bool] : ! [v5: bool] : ! [v6: bool] : ( ~
% 78.88/11.31 | (insert668001005_state(v2, bot_bo454148287e_bool) = v4) | ~
% 78.88/11.32 | (hoare_1193527299_state(v1) = v3) | ~ (hAPP_f355887345l_bool(v3, v4)
% 78.88/11.32 | = v5) | ~ (hAPP_f355887345l_bool(v3, v0) = v6) | ~
% 78.88/11.32 | fun_Ho734851753e_bool(v1) | ~ fun_Ho734851753e_bool(v0) | ~
% 78.88/11.32 | hoare_1848483303_state(v2) | ? [v7: any] : ? [v8: any] : ? [v9:
% 78.88/11.32 | fun_Ho734851753e_bool] : ? [v10: bool] : ? [v11: any] :
% 78.88/11.32 | (insert668001005_state(v2, v0) = v9 & hAPP_f355887345l_bool(v3, v9) =
% 78.88/11.32 | v10 & hBOOL(v10) = v11 & hBOOL(v6) = v8 & hBOOL(v5) = v7 &
% 78.88/11.32 | fun_Ho734851753e_bool(v9) & bool(v10) & ( ~ (v8 = 0) | ~ (v7 = 0)
% 78.88/11.32 | | v11 = 0)))
% 78.88/11.32 |
% 78.88/11.32 | ALPHA: (fact_6_derivs__insertD) implies:
% 78.88/11.32 | (5) ! [v0: fun_Ho734851753e_bool] : ! [v1: hoare_1848483303_state] : !
% 78.88/11.32 | [v2: fun_Ho734851753e_bool] : ! [v3: fun_fu1783763359l_bool] : ! [v4:
% 78.88/11.32 | fun_Ho734851753e_bool] : ! [v5: bool] : ! [v6: bool] : ( ~
% 78.88/11.32 | (insert668001005_state(v1, bot_bo454148287e_bool) = v4) | ~
% 78.88/11.32 | (hoare_1193527299_state(v0) = v3) | ~ (hAPP_f355887345l_bool(v3, v4)
% 78.88/11.32 | = v5) | ~ (hAPP_f355887345l_bool(v3, v2) = v6) | ~
% 78.88/11.32 | fun_Ho734851753e_bool(v2) | ~ fun_Ho734851753e_bool(v0) | ~
% 78.88/11.32 | hoare_1848483303_state(v1) | ? [v7: fun_Ho734851753e_bool] : ? [v8:
% 78.88/11.32 | bool] : ? [v9: any] : ? [v10: any] : ? [v11: any] :
% 78.88/11.32 | (insert668001005_state(v1, v2) = v7 & hAPP_f355887345l_bool(v3, v7) =
% 78.88/11.32 | v8 & hBOOL(v8) = v9 & hBOOL(v6) = v11 & hBOOL(v5) = v10 &
% 78.88/11.32 | fun_Ho734851753e_bool(v7) & bool(v8) & ( ~ (v9 = 0) | (v11 = 0 &
% 78.88/11.32 | v10 = 0))))
% 78.88/11.32 |
% 78.88/11.32 | ALPHA: (fact_103_MGF) implies:
% 78.88/11.32 | (6) ? [v0: any] : ? [v1: any] : ? [v2: fun_fu1783763359l_bool] :
% 78.88/11.32 | (hoare_1193527299_state(bot_bo454148287e_bool) = v2 &
% 78.88/11.32 | hBOOL(hoare_1310879719gleton) = v0 & hBOOL(wT_bodies) = v1 &
% 78.88/11.32 | fun_fu1783763359l_bool(v2) & ! [v3: com] : ! [v4:
% 78.88/11.32 | hoare_1848483303_state] : ( ~ (v1 = 0) | ~ (v0 = 0) | ~
% 78.88/11.32 | (hAPP_c379084956_state(hoare_Mirabelle_MGT, v3) = v4) | ~ com(v3)
% 78.88/11.32 | | ? [v5: bool] : ? [v6: any] : ? [v7: fun_Ho734851753e_bool] :
% 78.88/11.32 | ? [v8: bool] : ? [v9: any] : (wt(v3) = v5 &
% 78.88/11.32 | insert668001005_state(v4, bot_bo454148287e_bool) = v7 &
% 78.88/11.32 | hAPP_f355887345l_bool(v2, v7) = v8 & hBOOL(v8) = v9 & hBOOL(v5) =
% 78.88/11.32 | v6 & fun_Ho734851753e_bool(v7) & bool(v8) & bool(v5) & ( ~ (v6 =
% 78.88/11.32 | 0) | v9 = 0))))
% 78.88/11.32 |
% 78.88/11.32 | ALPHA: (fact_147_empty__iff) implies:
% 78.88/11.32 | (7) ! [v0: hoare_1848483303_state] : ! [v1: fun_fu1783763359l_bool] : ( ~
% 78.88/11.32 | (hAPP_H1199573897l_bool(member591555156_state, v0) = v1) | ~
% 78.88/11.32 | hoare_1848483303_state(v0) | ? [v2: bool] : ? [v3: int] : ( ~ (v3 =
% 78.88/11.32 | 0) & hAPP_f355887345l_bool(v1, bot_bo454148287e_bool) = v2 &
% 78.88/11.32 | hBOOL(v2) = v3 & bool(v2)))
% 78.88/11.32 |
% 78.88/11.32 | ALPHA: (fact_166_empty__def) implies:
% 78.88/11.32 | (8) ? [v0: fun_Ho734851753e_bool] : (cOMBK_2059960192_state(fFalse) = v0 &
% 78.88/11.32 | collec1708318610_state(v0) = bot_bo454148287e_bool &
% 78.88/11.32 | fun_Ho734851753e_bool(v0))
% 78.88/11.32 |
% 78.88/11.32 | ALPHA: (fact_169_insert__absorb) implies:
% 78.88/11.32 | (9) ! [v0: hoare_1848483303_state] : ! [v1: fun_Ho734851753e_bool] : !
% 78.88/11.32 | [v2: fun_fu1783763359l_bool] : ! [v3: bool] : ( ~
% 78.88/11.32 | (hAPP_H1199573897l_bool(member591555156_state, v0) = v2) | ~
% 78.88/11.32 | (hAPP_f355887345l_bool(v2, v1) = v3) | ~ fun_Ho734851753e_bool(v1) |
% 78.88/11.32 | ~ hoare_1848483303_state(v0) | ? [v4: any] : ? [v5:
% 78.88/11.32 | fun_Ho734851753e_bool] : (insert668001005_state(v0, v1) = v5 &
% 78.88/11.32 | hBOOL(v3) = v4 & fun_Ho734851753e_bool(v5) & ( ~ (v4 = 0) | v5 =
% 78.88/11.32 | v1)))
% 78.88/11.32 |
% 78.88/11.32 | ALPHA: (fact_173_insert__ident) implies:
% 78.88/11.32 | (10) ! [v0: fun_Ho734851753e_bool] : ! [v1: hoare_1848483303_state] : !
% 78.88/11.32 | [v2: fun_Ho734851753e_bool] : ! [v3: fun_fu1783763359l_bool] : !
% 78.88/11.32 | [v4: bool] : ! [v5: bool] : ( ~
% 78.88/11.32 | (hAPP_H1199573897l_bool(member591555156_state, v1) = v3) | ~
% 78.88/11.32 | (hAPP_f355887345l_bool(v3, v2) = v4) | ~ (hAPP_f355887345l_bool(v3,
% 78.88/11.32 | v0) = v5) | ~ fun_Ho734851753e_bool(v2) | ~
% 78.88/11.32 | fun_Ho734851753e_bool(v0) | ~ hoare_1848483303_state(v1) | ? [v6:
% 78.88/11.32 | any] : ? [v7: any] : ? [v8: fun_Ho734851753e_bool] : ? [v9:
% 78.88/11.32 | fun_Ho734851753e_bool] : (insert668001005_state(v1, v2) = v8 &
% 78.88/11.32 | insert668001005_state(v1, v0) = v9 & hBOOL(v5) = v7 & hBOOL(v4) =
% 78.88/11.32 | v6 & fun_Ho734851753e_bool(v9) & fun_Ho734851753e_bool(v8) & (v7 =
% 78.88/11.32 | 0 | v6 = 0 | (( ~ (v9 = v8) | v2 = v0) & ( ~ (v2 = v0) | v9 =
% 78.88/11.32 | v8)))))
% 78.88/11.32 |
% 78.88/11.32 | ALPHA: (fact_195_subset__trans) implies:
% 78.88/11.33 | (11) ! [v0: fun_Ho734851753e_bool] : ! [v1: fun_Ho734851753e_bool] : !
% 78.88/11.33 | [v2: fun_Ho734851753e_bool] : ! [v3: fun_fu1783763359l_bool] : !
% 78.88/11.33 | [v4: bool] : ! [v5: bool] : ( ~
% 78.88/11.33 | (hAPP_f15397171l_bool(ord_le1119700979e_bool, v1) = v3) | ~
% 78.88/11.33 | (hAPP_f355887345l_bool(v3, v2) = v4) | ~ (hAPP_f355887345l_bool(v3,
% 78.88/11.33 | v0) = v5) | ~ fun_Ho734851753e_bool(v2) | ~
% 78.88/11.33 | fun_Ho734851753e_bool(v1) | ~ fun_Ho734851753e_bool(v0) | ? [v6:
% 78.88/11.33 | any] : ? [v7: fun_fu1783763359l_bool] : ? [v8: bool] : ? [v9:
% 78.88/11.33 | any] : ? [v10: any] :
% 78.88/11.33 | (hAPP_f15397171l_bool(ord_le1119700979e_bool, v2) = v7 &
% 78.88/11.33 | hAPP_f355887345l_bool(v7, v0) = v8 & hBOOL(v8) = v9 & hBOOL(v5) =
% 78.88/11.33 | v10 & hBOOL(v4) = v6 & fun_fu1783763359l_bool(v7) & bool(v8) & ( ~
% 78.88/11.33 | (v9 = 0) | ~ (v6 = 0) | v10 = 0)))
% 78.88/11.33 |
% 78.88/11.33 | ALPHA: (fact_199_set__rev__mp) implies:
% 78.88/11.33 | (12) ! [v0: fun_Ho734851753e_bool] : ! [v1: hoare_1848483303_state] : !
% 78.88/11.33 | [v2: fun_Ho734851753e_bool] : ! [v3: fun_fu1783763359l_bool] : !
% 78.88/11.33 | [v4: bool] : ! [v5: bool] : ( ~
% 78.88/11.33 | (hAPP_H1199573897l_bool(member591555156_state, v1) = v3) | ~
% 78.88/11.33 | (hAPP_f355887345l_bool(v3, v2) = v4) | ~ (hAPP_f355887345l_bool(v3,
% 78.88/11.33 | v0) = v5) | ~ fun_Ho734851753e_bool(v2) | ~
% 78.88/11.33 | fun_Ho734851753e_bool(v0) | ~ hoare_1848483303_state(v1) | ? [v6:
% 78.88/11.33 | any] : ? [v7: fun_fu1783763359l_bool] : ? [v8: bool] : ? [v9:
% 78.88/11.33 | any] : ? [v10: any] :
% 78.88/11.33 | (hAPP_f15397171l_bool(ord_le1119700979e_bool, v2) = v7 &
% 78.88/11.33 | hAPP_f355887345l_bool(v7, v0) = v8 & hBOOL(v8) = v9 & hBOOL(v5) =
% 78.88/11.33 | v10 & hBOOL(v4) = v6 & fun_fu1783763359l_bool(v7) & bool(v8) & ( ~
% 78.88/11.33 | (v9 = 0) | ~ (v6 = 0) | v10 = 0)))
% 78.88/11.33 |
% 78.88/11.33 | ALPHA: (fact_201_in__mono) implies:
% 78.88/11.33 | (13) ! [v0: hoare_1848483303_state] : ! [v1: fun_Ho734851753e_bool] : !
% 78.88/11.33 | [v2: fun_Ho734851753e_bool] : ! [v3: fun_fu1783763359l_bool] : !
% 78.88/11.33 | [v4: bool] : ! [v5: bool] : ( ~
% 78.88/11.33 | (hAPP_H1199573897l_bool(member591555156_state, v0) = v3) | ~
% 78.88/11.33 | (hAPP_f355887345l_bool(v3, v2) = v5) | ~ (hAPP_f355887345l_bool(v3,
% 78.88/11.33 | v1) = v4) | ~ fun_Ho734851753e_bool(v2) | ~
% 78.88/11.33 | fun_Ho734851753e_bool(v1) | ~ hoare_1848483303_state(v0) | ? [v6:
% 78.88/11.33 | fun_fu1783763359l_bool] : ? [v7: bool] : ? [v8: any] : ? [v9:
% 78.88/11.33 | any] : ? [v10: any] :
% 78.88/11.33 | (hAPP_f15397171l_bool(ord_le1119700979e_bool, v1) = v6 &
% 78.88/11.33 | hAPP_f355887345l_bool(v6, v2) = v7 & hBOOL(v7) = v8 & hBOOL(v5) =
% 78.88/11.33 | v10 & hBOOL(v4) = v9 & fun_fu1783763359l_bool(v6) & bool(v7) & ( ~
% 78.88/11.33 | (v9 = 0) | ~ (v8 = 0) | v10 = 0)))
% 78.88/11.33 |
% 78.88/11.33 | ALPHA: (fact_212_image__iff) implies:
% 79.02/11.34 | (14) ! [v0: hoare_1848483303_state] : ! [v1: fun_pn447269700_state] : !
% 79.02/11.34 | [v2: fun_pname_bool] : ! [v3: fun_fu1783763359l_bool] : ! [v4:
% 79.02/11.34 | fun_Ho734851753e_bool] : ! [v5: bool] : ( ~
% 79.02/11.34 | (hAPP_H1199573897l_bool(member591555156_state, v0) = v3) | ~
% 79.02/11.34 | (image_1256224870_state(v1, v2) = v4) | ~
% 79.02/11.34 | (hAPP_f355887345l_bool(v3, v4) = v5) | ~ fun_pn447269700_state(v1)
% 79.02/11.34 | | ~ fun_pname_bool(v2) | ~ hoare_1848483303_state(v0) | hBOOL(v5)
% 79.02/11.34 | = 0 | ! [v6: pname] : ! [v7: fun_fu1430349052l_bool] : ! [v8:
% 79.02/11.34 | bool] : ( ~ (hAPP_p338031245l_bool(member_pname, v6) = v7) | ~
% 79.02/11.34 | (hAPP_f1664156314l_bool(v7, v2) = v8) | ~ pname(v6) | ? [v9:
% 79.02/11.34 | any] : ? [v10: hoare_1848483303_state] :
% 79.02/11.34 | (hAPP_p675228438_state(v1, v6) = v10 & hBOOL(v8) = v9 &
% 79.02/11.34 | hoare_1848483303_state(v10) & ( ~ (v10 = v0) | ~ (v9 = 0)))))
% 79.02/11.34 |
% 79.02/11.34 | ALPHA: (fact_245_finite__subset) implies:
% 79.02/11.34 | (15) ! [v0: fun_Ho734851753e_bool] : ! [v1: fun_Ho734851753e_bool] : !
% 79.02/11.34 | [v2: fun_fu1783763359l_bool] : ! [v3: bool] : ( ~
% 79.02/11.34 | (hAPP_f15397171l_bool(ord_le1119700979e_bool, v0) = v2) | ~
% 79.02/11.34 | (hAPP_f355887345l_bool(v2, v1) = v3) | ~ fun_Ho734851753e_bool(v1)
% 79.02/11.34 | | ~ fun_Ho734851753e_bool(v0) | ? [v4: any] : ? [v5: bool] : ?
% 79.02/11.34 | [v6: any] : ? [v7: bool] : ? [v8: any] :
% 79.02/11.34 | (hAPP_f355887345l_bool(finite1765195604_state, v1) = v5 &
% 79.02/11.34 | hAPP_f355887345l_bool(finite1765195604_state, v0) = v7 & hBOOL(v7)
% 79.02/11.34 | = v8 & hBOOL(v5) = v6 & hBOOL(v3) = v4 & bool(v7) & bool(v5) & ( ~
% 79.02/11.34 | (v6 = 0) | ~ (v4 = 0) | v8 = 0)))
% 79.02/11.34 |
% 79.02/11.34 | ALPHA: (fact_249_rev__finite__subset) implies:
% 79.02/11.34 | (16) ! [v0: fun_Ho734851753e_bool] : ! [v1: fun_Ho734851753e_bool] : !
% 79.02/11.34 | [v2: fun_fu1783763359l_bool] : ! [v3: bool] : ( ~
% 79.02/11.34 | (hAPP_f15397171l_bool(ord_le1119700979e_bool, v0) = v2) | ~
% 79.02/11.34 | (hAPP_f355887345l_bool(v2, v1) = v3) | ~ fun_Ho734851753e_bool(v1)
% 79.02/11.34 | | ~ fun_Ho734851753e_bool(v0) | ? [v4: bool] : ? [v5: any] : ?
% 79.02/11.34 | [v6: any] : ? [v7: bool] : ? [v8: any] :
% 79.02/11.34 | (hAPP_f355887345l_bool(finite1765195604_state, v1) = v4 &
% 79.02/11.34 | hAPP_f355887345l_bool(finite1765195604_state, v0) = v7 & hBOOL(v7)
% 79.02/11.34 | = v8 & hBOOL(v4) = v5 & hBOOL(v3) = v6 & bool(v7) & bool(v4) & ( ~
% 79.02/11.34 | (v6 = 0) | ~ (v5 = 0) | v8 = 0)))
% 79.02/11.34 |
% 79.02/11.34 | ALPHA: (fact_253_mem__def) implies:
% 79.02/11.34 | (17) ! [v0: hoare_1848483303_state] : ! [v1: fun_Ho734851753e_bool] : !
% 79.02/11.34 | [v2: fun_fu1783763359l_bool] : ! [v3: bool] : ( ~
% 79.02/11.34 | (hAPP_H1199573897l_bool(member591555156_state, v0) = v2) | ~
% 79.02/11.34 | (hAPP_f355887345l_bool(v2, v1) = v3) | ~ fun_Ho734851753e_bool(v1)
% 79.02/11.34 | | ~ hoare_1848483303_state(v0) | ? [v4: bool] : ? [v5: any] : ?
% 79.02/11.34 | [v6: any] : (hAPP_H2060173127e_bool(v1, v0) = v4 & hBOOL(v4) = v5 &
% 79.02/11.34 | hBOOL(v3) = v6 & bool(v4) & ( ~ (v5 = 0) | v6 = 0)))
% 79.02/11.34 | (18) ! [v0: hoare_1848483303_state] : ! [v1: fun_Ho734851753e_bool] : !
% 79.02/11.34 | [v2: fun_fu1783763359l_bool] : ! [v3: bool] : ( ~
% 79.02/11.34 | (hAPP_H1199573897l_bool(member591555156_state, v0) = v2) | ~
% 79.02/11.34 | (hAPP_f355887345l_bool(v2, v1) = v3) | ~ fun_Ho734851753e_bool(v1)
% 79.02/11.34 | | ~ hoare_1848483303_state(v0) | ? [v4: any] : ? [v5: bool] : ?
% 79.02/11.34 | [v6: any] : (hAPP_H2060173127e_bool(v1, v0) = v5 & hBOOL(v5) = v6 &
% 79.02/11.34 | hBOOL(v3) = v4 & bool(v5) & ( ~ (v4 = 0) | v6 = 0)))
% 79.02/11.34 |
% 79.02/11.34 | ALPHA: (fact_269_subset__image__iff) implies:
% 79.02/11.34 | (19) ! [v0: fun_Ho734851753e_bool] : ! [v1: fun_pn447269700_state] : !
% 79.02/11.34 | [v2: fun_pname_bool] : ! [v3: fun_fu1783763359l_bool] : ! [v4:
% 79.02/11.34 | fun_Ho734851753e_bool] : ! [v5: bool] : ( ~
% 79.02/11.34 | (image_1256224870_state(v1, v2) = v4) | ~
% 79.02/11.34 | (hAPP_f15397171l_bool(ord_le1119700979e_bool, v0) = v3) | ~
% 79.02/11.34 | (hAPP_f355887345l_bool(v3, v4) = v5) | ~ fun_Ho734851753e_bool(v0)
% 79.02/11.34 | | ~ fun_pn447269700_state(v1) | ~ fun_pname_bool(v2) | ? [v6:
% 79.02/11.34 | fun_pname_bool] : ? [v7: fun_fu1430349052l_bool] : ? [v8: bool]
% 79.02/11.34 | : (image_1256224870_state(v1, v6) = v0 &
% 79.02/11.34 | hAPP_f434788991l_bool(ord_le313189616e_bool, v6) = v7 &
% 79.02/11.34 | hAPP_f1664156314l_bool(v7, v2) = v8 & hBOOL(v8) = 0 &
% 79.02/11.34 | fun_fu1430349052l_bool(v7) & fun_pname_bool(v6) & bool(v8)) | ?
% 79.02/11.34 | [v6: int] : ( ~ (v6 = 0) & hBOOL(v5) = v6))
% 79.02/11.34 |
% 79.02/11.34 | ALPHA: (fact_287_MGF__lemma1) implies:
% 79.02/11.35 | (20) ? [v0: any] : ? [v1: fun_pname_bool] : (dom_pname_com(body) = v1 &
% 79.02/11.35 | hBOOL(hoare_1310879719gleton) = v0 & fun_pname_bool(v1) & ! [v2:
% 79.02/11.35 | com] : ! [v3: fun_Ho734851753e_bool] : ! [v4:
% 79.02/11.35 | fun_fu1783763359l_bool] : ! [v5: hoare_1848483303_state] : !
% 79.02/11.35 | [v6: fun_Ho734851753e_bool] : ! [v7: bool] : ( ~ (v0 = 0) | ~
% 79.02/11.35 | (hAPP_c379084956_state(hoare_Mirabelle_MGT, v2) = v5) | ~
% 79.02/11.35 | (insert668001005_state(v5, bot_bo454148287e_bool) = v6) | ~
% 79.02/11.35 | (hoare_1193527299_state(v3) = v4) | ~ (hAPP_f355887345l_bool(v4,
% 79.02/11.35 | v6) = v7) | ~ fun_Ho734851753e_bool(v3) | ~ com(v2) | ?
% 79.02/11.35 | [v8: pname] : ? [v9: fun_fu1430349052l_bool] : ? [v10: bool] :
% 79.02/11.35 | ? [v11: com] : ? [v12: hoare_1848483303_state] : ? [v13:
% 79.02/11.35 | fun_Ho734851753e_bool] : ? [v14: bool] : ? [v15: int] : ( ~
% 79.02/11.35 | (v15 = 0) & hAPP_p338031245l_bool(member_pname, v8) = v9 &
% 79.02/11.35 | hAPP_f1664156314l_bool(v9, v1) = v10 & hAPP_pname_com(body_1,
% 79.02/11.35 | v8) = v11 & hAPP_c379084956_state(hoare_Mirabelle_MGT, v11) =
% 79.02/11.35 | v12 & insert668001005_state(v12, bot_bo454148287e_bool) = v13 &
% 79.02/11.35 | hAPP_f355887345l_bool(v4, v13) = v14 & hBOOL(v14) = v15 &
% 79.02/11.35 | hBOOL(v10) = 0 & fun_fu1430349052l_bool(v9) &
% 79.02/11.35 | fun_Ho734851753e_bool(v13) & hoare_1848483303_state(v12) &
% 79.02/11.35 | bool(v14) & bool(v10) & pname(v8) & com(v11)) | ? [v8: bool] :
% 79.02/11.35 | ? [v9: any] : ? [v10: any] : (wt(v2) = v8 & hBOOL(v8) = v9 &
% 79.02/11.35 | hBOOL(v7) = v10 & bool(v8) & ( ~ (v9 = 0) | v10 = 0))))
% 79.02/11.35 |
% 79.02/11.35 | ALPHA: (fact_288_WT__bodiesD) implies:
% 79.02/11.35 | (21) ? [v0: any] : (hBOOL(wT_bodies) = v0 & ! [v1: pname] : ! [v2: com]
% 79.02/11.35 | : ! [v3: option_com] : ! [v4: bool] : ( ~ (v0 = 0) | ~ (wt(v2) =
% 79.02/11.35 | v4) | ~ (hAPP_p799580910on_com(body, v1) = v3) | ~ pname(v1) |
% 79.02/11.35 | ~ com(v2) | ? [v5: option_com] : ? [v6: any] : (some_com(v2) =
% 79.02/11.35 | v5 & hBOOL(v4) = v6 & option_com(v5) & ( ~ (v5 = v3) | v6 =
% 79.02/11.35 | 0))))
% 79.02/11.35 |
% 79.02/11.35 | ALPHA: (fact_298_finite__dom__body) implies:
% 79.02/11.35 | (22) ? [v0: fun_pname_bool] : ? [v1: bool] : (dom_pname_com(body) = v0 &
% 79.02/11.35 | hAPP_f1664156314l_bool(finite_finite_pname, v0) = v1 & hBOOL(v1) = 0
% 79.02/11.35 | & fun_pname_bool(v0) & bool(v1))
% 79.02/11.35 |
% 79.02/11.35 | ALPHA: (conj_0) implies:
% 79.02/11.35 | (23) hBOOL(hoare_1310879719gleton) = 0
% 79.02/11.35 |
% 79.02/11.35 | ALPHA: (conj_1) implies:
% 79.02/11.35 | (24) hBOOL(wT_bodies) = 0
% 79.02/11.35 |
% 79.02/11.35 | ALPHA: (conj_3) implies:
% 79.02/11.35 | (25) ? [v0: hoare_1848483303_state] : ? [v1: fun_fu1783763359l_bool] : ?
% 79.02/11.35 | [v2: bool] : ? [v3: int] : ( ~ (v3 = 0) &
% 79.02/11.35 | hAPP_H1199573897l_bool(member591555156_state, v0) = v1 &
% 79.02/11.35 | hAPP_c379084956_state(hoare_Mirabelle_MGT, y) = v0 &
% 79.02/11.35 | hAPP_f355887345l_bool(v1, fa) = v2 & hBOOL(v2) = v3 &
% 79.02/11.35 | fun_fu1783763359l_bool(v1) & hoare_1848483303_state(v0) & bool(v2))
% 79.02/11.35 |
% 79.02/11.35 | ALPHA: (conj_4) implies:
% 79.02/11.35 | (26) ? [v0: fun_fu1783763359l_bool] : ? [v1: fun_pname_com] : ? [v2:
% 79.02/11.35 | fun_pn447269700_state] : ? [v3: fun_pname_bool] : ? [v4:
% 79.02/11.35 | fun_Ho734851753e_bool] : ? [v5: bool] :
% 79.02/11.35 | (cOMBB_573322273_pname(hoare_Mirabelle_MGT, v1) = v2 &
% 79.02/11.35 | cOMBB_923936821_pname(the_com, body) = v1 & dom_pname_com(body) = v3
% 79.02/11.35 | & image_1256224870_state(v2, v3) = v4 &
% 79.02/11.35 | hAPP_f15397171l_bool(ord_le1119700979e_bool, fa) = v0 &
% 79.02/11.35 | hAPP_f355887345l_bool(v0, v4) = v5 & hBOOL(v5) = 0 &
% 79.02/11.35 | fun_fu1783763359l_bool(v0) & fun_Ho734851753e_bool(v4) &
% 79.02/11.35 | fun_pn447269700_state(v2) & fun_pname_bool(v3) & fun_pname_com(v1) &
% 79.02/11.35 | bool(v5))
% 79.02/11.35 |
% 79.02/11.35 | ALPHA: (conj_5) implies:
% 79.02/11.35 | (27) pname(pn)
% 79.02/11.35 | (28) ? [v0: option_com] : (some_com(y) = v0 & hAPP_p799580910on_com(body,
% 79.02/11.35 | pn) = v0 & option_com(v0))
% 79.02/11.35 |
% 79.02/11.35 | ALPHA: (conj_6) implies:
% 79.02/11.35 | (29) fun_Ho734851753e_bool(fa)
% 79.02/11.35 | (30) ? [v0: fun_pn447269700_state] : ? [v1: fun_pname_bool] : ? [v2:
% 79.02/11.35 | fun_Ho734851753e_bool] : ? [v3: fun_fu1783763359l_bool] : ? [v4:
% 79.02/11.35 | bool] : (cOMBB_573322273_pname(hoare_Mirabelle_MGT, body_1) = v0 &
% 79.02/11.35 | dom_pname_com(body) = v1 & image_1256224870_state(v0, v1) = v2 &
% 79.02/11.35 | hoare_1193527299_state(v2) = v3 & hAPP_f355887345l_bool(v3, fa) = v4
% 79.02/11.35 | & hBOOL(v4) = 0 & fun_fu1783763359l_bool(v3) &
% 79.02/11.35 | fun_Ho734851753e_bool(v2) & fun_pn447269700_state(v0) &
% 79.02/11.35 | fun_pname_bool(v1) & bool(v4))
% 79.02/11.35 |
% 79.02/11.35 | ALPHA: (conj_7) implies:
% 79.02/11.35 | (31) com(y)
% 79.02/11.35 | (32) fun_Ho734851753e_bool(bot_bo454148287e_bool)
% 79.02/11.35 | (33) ? [v0: fun_pn447269700_state] : ? [v1: fun_pname_bool] : ? [v2:
% 79.02/11.35 | fun_Ho734851753e_bool] : ? [v3: fun_fu1783763359l_bool] : ? [v4:
% 79.02/11.35 | hoare_1848483303_state] : ? [v5: fun_Ho734851753e_bool] : ? [v6:
% 79.02/11.35 | bool] : ? [v7: int] : ( ~ (v7 = 0) &
% 79.02/11.35 | cOMBB_573322273_pname(hoare_Mirabelle_MGT, body_1) = v0 &
% 79.02/11.35 | dom_pname_com(body) = v1 & image_1256224870_state(v0, v1) = v2 &
% 79.02/11.35 | hAPP_c379084956_state(hoare_Mirabelle_MGT, y) = v4 &
% 79.02/11.35 | insert668001005_state(v4, bot_bo454148287e_bool) = v5 &
% 79.02/11.35 | hoare_1193527299_state(v2) = v3 & hAPP_f355887345l_bool(v3, v5) = v6
% 79.02/11.35 | & hBOOL(v6) = v7 & fun_fu1783763359l_bool(v3) &
% 79.02/11.35 | fun_Ho734851753e_bool(v5) & fun_Ho734851753e_bool(v2) &
% 79.02/11.35 | fun_pn447269700_state(v0) & fun_pname_bool(v1) &
% 79.02/11.35 | hoare_1848483303_state(v4) & bool(v6))
% 79.02/11.35 |
% 79.02/11.35 | ALPHA: (function-axioms) implies:
% 79.02/11.35 | (34) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 79.02/11.35 | bool] : (v1 = v0 | ~ (hBOOL(v2) = v1) | ~ (hBOOL(v2) = v0))
% 79.02/11.36 | (35) ! [v0: fun_fu1783763359l_bool] : ! [v1: fun_fu1783763359l_bool] : !
% 79.02/11.36 | [v2: fun_Ho734851753e_bool] : (v1 = v0 | ~
% 79.02/11.36 | (hoare_1193527299_state(v2) = v1) | ~ (hoare_1193527299_state(v2) =
% 79.02/11.36 | v0))
% 79.02/11.36 | (36) ! [v0: fun_pname_bool] : ! [v1: fun_pname_bool] : ! [v2:
% 79.02/11.36 | fun_pname_option_com] : (v1 = v0 | ~ (dom_pname_com(v2) = v1) | ~
% 79.02/11.36 | (dom_pname_com(v2) = v0))
% 79.02/11.36 | (37) ! [v0: option_com] : ! [v1: option_com] : ! [v2: com] : (v1 = v0 |
% 79.02/11.36 | ~ (some_com(v2) = v1) | ~ (some_com(v2) = v0))
% 79.02/11.36 | (38) ! [v0: bool] : ! [v1: bool] : ! [v2: fun_Ho734851753e_bool] : !
% 79.02/11.36 | [v3: fun_fu1783763359l_bool] : (v1 = v0 | ~
% 79.02/11.36 | (hAPP_f355887345l_bool(v3, v2) = v1) | ~ (hAPP_f355887345l_bool(v3,
% 79.02/11.36 | v2) = v0))
% 79.02/11.36 | (39) ! [v0: fun_Ho734851753e_bool] : ! [v1: fun_Ho734851753e_bool] : !
% 79.02/11.36 | [v2: fun_Ho734851753e_bool] : ! [v3: hoare_1848483303_state] : (v1 =
% 79.02/11.36 | v0 | ~ (insert668001005_state(v3, v2) = v1) | ~
% 79.02/11.36 | (insert668001005_state(v3, v2) = v0))
% 79.02/11.36 | (40) ! [v0: hoare_1848483303_state] : ! [v1: hoare_1848483303_state] : !
% 79.02/11.36 | [v2: com] : ! [v3: fun_co1814942666_state] : (v1 = v0 | ~
% 79.02/11.36 | (hAPP_c379084956_state(v3, v2) = v1) | ~ (hAPP_c379084956_state(v3,
% 79.02/11.36 | v2) = v0))
% 79.02/11.36 | (41) ! [v0: fun_Ho734851753e_bool] : ! [v1: fun_Ho734851753e_bool] : !
% 79.02/11.36 | [v2: fun_pname_bool] : ! [v3: fun_pn447269700_state] : (v1 = v0 | ~
% 79.02/11.36 | (image_1256224870_state(v3, v2) = v1) | ~
% 79.02/11.36 | (image_1256224870_state(v3, v2) = v0))
% 79.02/11.36 | (42) ! [v0: fun_pn447269700_state] : ! [v1: fun_pn447269700_state] : !
% 79.02/11.36 | [v2: fun_pname_com] : ! [v3: fun_co1814942666_state] : (v1 = v0 | ~
% 79.02/11.36 | (cOMBB_573322273_pname(v3, v2) = v1) | ~ (cOMBB_573322273_pname(v3,
% 79.02/11.36 | v2) = v0))
% 79.02/11.36 |
% 79.02/11.36 | DELTA: instantiating (8) with fresh symbol all_451_0 gives:
% 79.02/11.36 | (43) cOMBK_2059960192_state(fFalse) = all_451_0 &
% 79.02/11.36 | collec1708318610_state(all_451_0) = bot_bo454148287e_bool &
% 79.02/11.36 | fun_Ho734851753e_bool(all_451_0)
% 79.02/11.36 |
% 79.02/11.36 | ALPHA: (43) implies:
% 79.02/11.36 | (44) fun_Ho734851753e_bool(all_451_0)
% 79.02/11.36 | (45) collec1708318610_state(all_451_0) = bot_bo454148287e_bool
% 79.02/11.36 |
% 79.02/11.36 | DELTA: instantiating (28) with fresh symbol all_459_0 gives:
% 79.02/11.36 | (46) some_com(y) = all_459_0 & hAPP_p799580910on_com(body, pn) = all_459_0
% 79.02/11.36 | & option_com(all_459_0)
% 79.02/11.36 |
% 79.02/11.36 | ALPHA: (46) implies:
% 79.02/11.36 | (47) hAPP_p799580910on_com(body, pn) = all_459_0
% 79.02/11.36 | (48) some_com(y) = all_459_0
% 79.02/11.36 |
% 79.02/11.36 | DELTA: instantiating (22) with fresh symbols all_485_0, all_485_1 gives:
% 79.02/11.36 | (49) dom_pname_com(body) = all_485_1 &
% 79.02/11.36 | hAPP_f1664156314l_bool(finite_finite_pname, all_485_1) = all_485_0 &
% 79.02/11.36 | hBOOL(all_485_0) = 0 & fun_pname_bool(all_485_1) & bool(all_485_0)
% 79.02/11.36 |
% 79.02/11.36 | ALPHA: (49) implies:
% 79.02/11.36 | (50) dom_pname_com(body) = all_485_1
% 79.02/11.36 |
% 79.02/11.36 | DELTA: instantiating (25) with fresh symbols all_499_0, all_499_1, all_499_2,
% 79.02/11.36 | all_499_3 gives:
% 79.02/11.36 | (51) ~ (all_499_0 = 0) & hAPP_H1199573897l_bool(member591555156_state,
% 79.02/11.36 | all_499_3) = all_499_2 & hAPP_c379084956_state(hoare_Mirabelle_MGT,
% 79.02/11.36 | y) = all_499_3 & hAPP_f355887345l_bool(all_499_2, fa) = all_499_1 &
% 79.02/11.36 | hBOOL(all_499_1) = all_499_0 & fun_fu1783763359l_bool(all_499_2) &
% 79.02/11.36 | hoare_1848483303_state(all_499_3) & bool(all_499_1)
% 79.02/11.36 |
% 79.02/11.36 | ALPHA: (51) implies:
% 79.02/11.36 | (52) ~ (all_499_0 = 0)
% 79.02/11.36 | (53) hBOOL(all_499_1) = all_499_0
% 79.02/11.36 | (54) hAPP_f355887345l_bool(all_499_2, fa) = all_499_1
% 79.02/11.36 | (55) hAPP_c379084956_state(hoare_Mirabelle_MGT, y) = all_499_3
% 79.02/11.36 | (56) hAPP_H1199573897l_bool(member591555156_state, all_499_3) = all_499_2
% 79.02/11.36 |
% 79.02/11.36 | DELTA: instantiating (30) with fresh symbols all_509_0, all_509_1, all_509_2,
% 79.02/11.36 | all_509_3, all_509_4 gives:
% 79.02/11.36 | (57) cOMBB_573322273_pname(hoare_Mirabelle_MGT, body_1) = all_509_4 &
% 79.02/11.36 | dom_pname_com(body) = all_509_3 & image_1256224870_state(all_509_4,
% 79.02/11.36 | all_509_3) = all_509_2 & hoare_1193527299_state(all_509_2) =
% 79.02/11.36 | all_509_1 & hAPP_f355887345l_bool(all_509_1, fa) = all_509_0 &
% 79.02/11.36 | hBOOL(all_509_0) = 0 & fun_fu1783763359l_bool(all_509_1) &
% 79.02/11.36 | fun_Ho734851753e_bool(all_509_2) & fun_pn447269700_state(all_509_4) &
% 79.02/11.36 | fun_pname_bool(all_509_3) & bool(all_509_0)
% 79.02/11.36 |
% 79.02/11.36 | ALPHA: (57) implies:
% 79.02/11.36 | (58) fun_pname_bool(all_509_3)
% 79.02/11.36 | (59) hAPP_f355887345l_bool(all_509_1, fa) = all_509_0
% 79.02/11.36 | (60) hoare_1193527299_state(all_509_2) = all_509_1
% 79.02/11.36 | (61) image_1256224870_state(all_509_4, all_509_3) = all_509_2
% 79.02/11.36 | (62) dom_pname_com(body) = all_509_3
% 79.02/11.36 | (63) cOMBB_573322273_pname(hoare_Mirabelle_MGT, body_1) = all_509_4
% 79.02/11.36 |
% 79.02/11.36 | DELTA: instantiating (21) with fresh symbol all_511_0 gives:
% 79.02/11.36 | (64) hBOOL(wT_bodies) = all_511_0 & ! [v0: pname] : ! [v1: com] : ! [v2:
% 79.02/11.36 | option_com] : ! [v3: bool] : ( ~ (all_511_0 = 0) | ~ (wt(v1) = v3)
% 79.02/11.36 | | ~ (hAPP_p799580910on_com(body, v0) = v2) | ~ pname(v0) | ~
% 79.02/11.36 | com(v1) | ? [v4: option_com] : ? [v5: any] : (some_com(v1) = v4 &
% 79.02/11.36 | hBOOL(v3) = v5 & option_com(v4) & ( ~ (v4 = v2) | v5 = 0)))
% 79.02/11.36 |
% 79.02/11.36 | ALPHA: (64) implies:
% 79.02/11.36 | (65) hBOOL(wT_bodies) = all_511_0
% 79.02/11.37 | (66) ! [v0: pname] : ! [v1: com] : ! [v2: option_com] : ! [v3: bool] :
% 79.02/11.37 | ( ~ (all_511_0 = 0) | ~ (wt(v1) = v3) | ~
% 79.02/11.37 | (hAPP_p799580910on_com(body, v0) = v2) | ~ pname(v0) | ~ com(v1) |
% 79.02/11.37 | ? [v4: option_com] : ? [v5: any] : (some_com(v1) = v4 & hBOOL(v3)
% 79.02/11.37 | = v5 & option_com(v4) & ( ~ (v4 = v2) | v5 = 0)))
% 79.02/11.37 |
% 79.02/11.37 | DELTA: instantiating (26) with fresh symbols all_514_0, all_514_1, all_514_2,
% 79.02/11.37 | all_514_3, all_514_4, all_514_5 gives:
% 79.02/11.37 | (67) cOMBB_573322273_pname(hoare_Mirabelle_MGT, all_514_4) = all_514_3 &
% 79.02/11.37 | cOMBB_923936821_pname(the_com, body) = all_514_4 & dom_pname_com(body)
% 79.02/11.37 | = all_514_2 & image_1256224870_state(all_514_3, all_514_2) = all_514_1
% 79.02/11.37 | & hAPP_f15397171l_bool(ord_le1119700979e_bool, fa) = all_514_5 &
% 79.02/11.37 | hAPP_f355887345l_bool(all_514_5, all_514_1) = all_514_0 &
% 79.02/11.37 | hBOOL(all_514_0) = 0 & fun_fu1783763359l_bool(all_514_5) &
% 79.02/11.37 | fun_Ho734851753e_bool(all_514_1) & fun_pn447269700_state(all_514_3) &
% 79.02/11.37 | fun_pname_bool(all_514_2) & fun_pname_com(all_514_4) & bool(all_514_0)
% 79.02/11.37 |
% 79.02/11.37 | ALPHA: (67) implies:
% 79.02/11.37 | (68) fun_pn447269700_state(all_514_3)
% 79.02/11.37 | (69) fun_Ho734851753e_bool(all_514_1)
% 79.02/11.37 | (70) hBOOL(all_514_0) = 0
% 79.02/11.37 | (71) hAPP_f355887345l_bool(all_514_5, all_514_1) = all_514_0
% 79.02/11.37 | (72) hAPP_f15397171l_bool(ord_le1119700979e_bool, fa) = all_514_5
% 79.02/11.37 | (73) image_1256224870_state(all_514_3, all_514_2) = all_514_1
% 79.02/11.37 | (74) dom_pname_com(body) = all_514_2
% 79.02/11.37 |
% 79.02/11.37 | DELTA: instantiating (33) with fresh symbols all_570_0, all_570_1, all_570_2,
% 79.02/11.37 | all_570_3, all_570_4, all_570_5, all_570_6, all_570_7 gives:
% 79.02/11.37 | (75) ~ (all_570_0 = 0) & cOMBB_573322273_pname(hoare_Mirabelle_MGT,
% 79.02/11.37 | body_1) = all_570_7 & dom_pname_com(body) = all_570_6 &
% 79.02/11.37 | image_1256224870_state(all_570_7, all_570_6) = all_570_5 &
% 79.02/11.37 | hAPP_c379084956_state(hoare_Mirabelle_MGT, y) = all_570_3 &
% 79.02/11.37 | insert668001005_state(all_570_3, bot_bo454148287e_bool) = all_570_2 &
% 79.02/11.37 | hoare_1193527299_state(all_570_5) = all_570_4 &
% 79.02/11.37 | hAPP_f355887345l_bool(all_570_4, all_570_2) = all_570_1 &
% 79.02/11.37 | hBOOL(all_570_1) = all_570_0 & fun_fu1783763359l_bool(all_570_4) &
% 79.02/11.37 | fun_Ho734851753e_bool(all_570_2) & fun_Ho734851753e_bool(all_570_5) &
% 79.02/11.37 | fun_pn447269700_state(all_570_7) & fun_pname_bool(all_570_6) &
% 79.02/11.37 | hoare_1848483303_state(all_570_3) & bool(all_570_1)
% 79.02/11.37 |
% 79.02/11.37 | ALPHA: (75) implies:
% 79.02/11.37 | (76) ~ (all_570_0 = 0)
% 79.02/11.37 | (77) hoare_1848483303_state(all_570_3)
% 79.02/11.37 | (78) fun_Ho734851753e_bool(all_570_5)
% 79.02/11.37 | (79) fun_Ho734851753e_bool(all_570_2)
% 79.02/11.37 | (80) hBOOL(all_570_1) = all_570_0
% 79.02/11.37 | (81) hAPP_f355887345l_bool(all_570_4, all_570_2) = all_570_1
% 79.02/11.37 | (82) hoare_1193527299_state(all_570_5) = all_570_4
% 79.02/11.37 | (83) insert668001005_state(all_570_3, bot_bo454148287e_bool) = all_570_2
% 79.02/11.37 | (84) hAPP_c379084956_state(hoare_Mirabelle_MGT, y) = all_570_3
% 79.02/11.37 | (85) image_1256224870_state(all_570_7, all_570_6) = all_570_5
% 79.02/11.37 | (86) dom_pname_com(body) = all_570_6
% 79.02/11.37 | (87) cOMBB_573322273_pname(hoare_Mirabelle_MGT, body_1) = all_570_7
% 79.02/11.37 |
% 79.02/11.37 | DELTA: instantiating (6) with fresh symbols all_572_0, all_572_1, all_572_2
% 79.02/11.37 | gives:
% 79.02/11.37 | (88) hoare_1193527299_state(bot_bo454148287e_bool) = all_572_0 &
% 79.02/11.37 | hBOOL(hoare_1310879719gleton) = all_572_2 & hBOOL(wT_bodies) =
% 79.02/11.37 | all_572_1 & fun_fu1783763359l_bool(all_572_0) & ! [v0: com] : ! [v1:
% 79.02/11.37 | hoare_1848483303_state] : ( ~ (all_572_1 = 0) | ~ (all_572_2 = 0) |
% 79.02/11.37 | ~ (hAPP_c379084956_state(hoare_Mirabelle_MGT, v0) = v1) | ~
% 79.02/11.37 | com(v0) | ? [v2: bool] : ? [v3: any] : ? [v4:
% 79.02/11.37 | fun_Ho734851753e_bool] : ? [v5: bool] : ? [v6: any] : (wt(v0) =
% 79.02/11.37 | v2 & insert668001005_state(v1, bot_bo454148287e_bool) = v4 &
% 79.02/11.37 | hAPP_f355887345l_bool(all_572_0, v4) = v5 & hBOOL(v5) = v6 &
% 79.02/11.37 | hBOOL(v2) = v3 & fun_Ho734851753e_bool(v4) & bool(v5) & bool(v2) &
% 79.02/11.37 | ( ~ (v3 = 0) | v6 = 0)))
% 79.02/11.37 |
% 79.02/11.37 | ALPHA: (88) implies:
% 79.02/11.37 | (89) hBOOL(wT_bodies) = all_572_1
% 79.02/11.37 | (90) hBOOL(hoare_1310879719gleton) = all_572_2
% 79.02/11.37 | (91) hoare_1193527299_state(bot_bo454148287e_bool) = all_572_0
% 79.02/11.37 | (92) ! [v0: com] : ! [v1: hoare_1848483303_state] : ( ~ (all_572_1 = 0) |
% 79.02/11.37 | ~ (all_572_2 = 0) | ~ (hAPP_c379084956_state(hoare_Mirabelle_MGT,
% 79.02/11.37 | v0) = v1) | ~ com(v0) | ? [v2: bool] : ? [v3: any] : ? [v4:
% 79.02/11.37 | fun_Ho734851753e_bool] : ? [v5: bool] : ? [v6: any] : (wt(v0) =
% 79.02/11.37 | v2 & insert668001005_state(v1, bot_bo454148287e_bool) = v4 &
% 79.02/11.37 | hAPP_f355887345l_bool(all_572_0, v4) = v5 & hBOOL(v5) = v6 &
% 79.02/11.37 | hBOOL(v2) = v3 & fun_Ho734851753e_bool(v4) & bool(v5) & bool(v2) &
% 79.02/11.37 | ( ~ (v3 = 0) | v6 = 0)))
% 79.02/11.37 |
% 79.02/11.37 | DELTA: instantiating (20) with fresh symbols all_587_0, all_587_1 gives:
% 79.02/11.37 | (93) dom_pname_com(body) = all_587_0 & hBOOL(hoare_1310879719gleton) =
% 79.02/11.37 | all_587_1 & fun_pname_bool(all_587_0) & ! [v0: com] : ! [v1:
% 79.02/11.37 | fun_Ho734851753e_bool] : ! [v2: fun_fu1783763359l_bool] : ! [v3:
% 79.02/11.37 | hoare_1848483303_state] : ! [v4: fun_Ho734851753e_bool] : ! [v5:
% 79.02/11.37 | bool] : ( ~ (all_587_1 = 0) | ~
% 79.02/11.37 | (hAPP_c379084956_state(hoare_Mirabelle_MGT, v0) = v3) | ~
% 79.02/11.37 | (insert668001005_state(v3, bot_bo454148287e_bool) = v4) | ~
% 79.02/11.37 | (hoare_1193527299_state(v1) = v2) | ~ (hAPP_f355887345l_bool(v2,
% 79.02/11.37 | v4) = v5) | ~ fun_Ho734851753e_bool(v1) | ~ com(v0) | ? [v6:
% 79.02/11.37 | pname] : ? [v7: fun_fu1430349052l_bool] : ? [v8: bool] : ? [v9:
% 79.02/11.37 | com] : ? [v10: hoare_1848483303_state] : ? [v11:
% 79.02/11.37 | fun_Ho734851753e_bool] : ? [v12: bool] : ? [v13: int] : ( ~ (v13
% 79.02/11.37 | = 0) & hAPP_p338031245l_bool(member_pname, v6) = v7 &
% 79.02/11.37 | hAPP_f1664156314l_bool(v7, all_587_0) = v8 &
% 79.02/11.37 | hAPP_pname_com(body_1, v6) = v9 &
% 79.02/11.37 | hAPP_c379084956_state(hoare_Mirabelle_MGT, v9) = v10 &
% 79.02/11.37 | insert668001005_state(v10, bot_bo454148287e_bool) = v11 &
% 79.02/11.37 | hAPP_f355887345l_bool(v2, v11) = v12 & hBOOL(v12) = v13 &
% 79.02/11.37 | hBOOL(v8) = 0 & fun_fu1430349052l_bool(v7) &
% 79.02/11.37 | fun_Ho734851753e_bool(v11) & hoare_1848483303_state(v10) &
% 79.02/11.37 | bool(v12) & bool(v8) & pname(v6) & com(v9)) | ? [v6: bool] : ?
% 79.02/11.37 | [v7: any] : ? [v8: any] : (wt(v0) = v6 & hBOOL(v6) = v7 & hBOOL(v5)
% 79.02/11.37 | = v8 & bool(v6) & ( ~ (v7 = 0) | v8 = 0)))
% 79.02/11.37 |
% 79.02/11.37 | ALPHA: (93) implies:
% 79.02/11.37 | (94) hBOOL(hoare_1310879719gleton) = all_587_1
% 79.02/11.37 | (95) dom_pname_com(body) = all_587_0
% 79.02/11.37 |
% 79.02/11.38 | GROUND_INST: instantiating (34) with all_511_0, all_572_1, wT_bodies,
% 79.02/11.38 | simplifying with (65), (89) gives:
% 79.02/11.38 | (96) all_572_1 = all_511_0
% 79.02/11.38 |
% 79.02/11.38 | GROUND_INST: instantiating (34) with 0, all_572_1, wT_bodies, simplifying with
% 79.02/11.38 | (24), (89) gives:
% 79.02/11.38 | (97) all_572_1 = 0
% 79.02/11.38 |
% 79.02/11.38 | GROUND_INST: instantiating (34) with all_572_2, all_587_1,
% 79.02/11.38 | hoare_1310879719gleton, simplifying with (90), (94) gives:
% 79.02/11.38 | (98) all_587_1 = all_572_2
% 79.02/11.38 |
% 79.02/11.38 | GROUND_INST: instantiating (34) with 0, all_587_1, hoare_1310879719gleton,
% 79.02/11.38 | simplifying with (23), (94) gives:
% 79.02/11.38 | (99) all_587_1 = 0
% 79.02/11.38 |
% 79.02/11.38 | GROUND_INST: instantiating (40) with all_499_3, all_570_3, y,
% 79.02/11.38 | hoare_Mirabelle_MGT, simplifying with (55), (84) gives:
% 79.02/11.38 | (100) all_570_3 = all_499_3
% 79.02/11.38 |
% 79.02/11.38 | GROUND_INST: instantiating (36) with all_509_3, all_514_2, body, simplifying
% 79.02/11.38 | with (62), (74) gives:
% 79.02/11.38 | (101) all_514_2 = all_509_3
% 79.02/11.38 |
% 79.02/11.38 | GROUND_INST: instantiating (36) with all_514_2, all_570_6, body, simplifying
% 79.02/11.38 | with (74), (86) gives:
% 79.02/11.38 | (102) all_570_6 = all_514_2
% 79.02/11.38 |
% 79.02/11.38 | GROUND_INST: instantiating (36) with all_570_6, all_587_0, body, simplifying
% 79.02/11.38 | with (86), (95) gives:
% 79.02/11.38 | (103) all_587_0 = all_570_6
% 79.02/11.38 |
% 79.02/11.38 | GROUND_INST: instantiating (36) with all_485_1, all_587_0, body, simplifying
% 79.02/11.38 | with (50), (95) gives:
% 79.02/11.38 | (104) all_587_0 = all_485_1
% 79.02/11.38 |
% 79.02/11.38 | GROUND_INST: instantiating (42) with all_509_4, all_570_7, body_1,
% 79.02/11.38 | hoare_Mirabelle_MGT, simplifying with (63), (87) gives:
% 79.02/11.38 | (105) all_570_7 = all_509_4
% 79.02/11.38 |
% 79.02/11.38 | COMBINE_EQS: (103), (104) imply:
% 79.02/11.38 | (106) all_570_6 = all_485_1
% 79.02/11.38 |
% 79.02/11.38 | SIMP: (106) implies:
% 79.02/11.38 | (107) all_570_6 = all_485_1
% 79.02/11.38 |
% 79.02/11.38 | COMBINE_EQS: (98), (99) imply:
% 79.02/11.38 | (108) all_572_2 = 0
% 79.02/11.38 |
% 79.02/11.38 | SIMP: (108) implies:
% 79.02/11.38 | (109) all_572_2 = 0
% 79.02/11.38 |
% 79.02/11.38 | COMBINE_EQS: (96), (97) imply:
% 79.02/11.38 | (110) all_511_0 = 0
% 79.02/11.38 |
% 79.02/11.38 | SIMP: (110) implies:
% 79.02/11.38 | (111) all_511_0 = 0
% 79.02/11.38 |
% 79.02/11.38 | COMBINE_EQS: (102), (107) imply:
% 79.02/11.38 | (112) all_514_2 = all_485_1
% 79.02/11.38 |
% 79.02/11.38 | SIMP: (112) implies:
% 79.02/11.38 | (113) all_514_2 = all_485_1
% 79.02/11.38 |
% 79.02/11.38 | COMBINE_EQS: (101), (113) imply:
% 79.02/11.38 | (114) all_509_3 = all_485_1
% 79.02/11.38 |
% 79.02/11.38 | SIMP: (114) implies:
% 79.02/11.38 | (115) all_509_3 = all_485_1
% 79.02/11.38 |
% 79.02/11.38 | REDUCE: (85), (105), (107) imply:
% 79.02/11.38 | (116) image_1256224870_state(all_509_4, all_485_1) = all_570_5
% 79.02/11.38 |
% 79.02/11.38 | REDUCE: (73), (113) imply:
% 79.02/11.38 | (117) image_1256224870_state(all_514_3, all_485_1) = all_514_1
% 79.02/11.38 |
% 79.02/11.38 | REDUCE: (61), (115) imply:
% 79.02/11.38 | (118) image_1256224870_state(all_509_4, all_485_1) = all_509_2
% 79.02/11.38 |
% 79.02/11.38 | REDUCE: (83), (100) imply:
% 79.02/11.38 | (119) insert668001005_state(all_499_3, bot_bo454148287e_bool) = all_570_2
% 79.02/11.38 |
% 79.02/11.38 | REDUCE: (58), (115) imply:
% 79.02/11.38 | (120) fun_pname_bool(all_485_1)
% 79.02/11.38 |
% 79.02/11.38 | REDUCE: (77), (100) imply:
% 79.02/11.38 | (121) hoare_1848483303_state(all_499_3)
% 79.02/11.38 |
% 79.02/11.38 | GROUND_INST: instantiating (41) with all_509_2, all_570_5, all_485_1,
% 79.02/11.38 | all_509_4, simplifying with (116), (118) gives:
% 79.02/11.38 | (122) all_570_5 = all_509_2
% 79.02/11.38 |
% 79.02/11.38 | REDUCE: (82), (122) imply:
% 79.02/11.38 | (123) hoare_1193527299_state(all_509_2) = all_570_4
% 79.02/11.38 |
% 79.02/11.38 | REDUCE: (78), (122) imply:
% 79.02/11.38 | (124) fun_Ho734851753e_bool(all_509_2)
% 79.02/11.38 |
% 79.02/11.38 | GROUND_INST: instantiating (35) with all_509_1, all_570_4, all_509_2,
% 79.02/11.38 | simplifying with (60), (123) gives:
% 79.02/11.38 | (125) all_570_4 = all_509_1
% 79.02/11.38 |
% 79.02/11.38 | REDUCE: (81), (125) imply:
% 79.02/11.38 | (126) hAPP_f355887345l_bool(all_509_1, all_570_2) = all_570_1
% 79.02/11.38 |
% 79.02/11.38 | GROUND_INST: instantiating (1) with bot_bo454148287e_bool, all_572_0,
% 79.02/11.38 | simplifying with (32), (91) gives:
% 79.02/11.38 | (127) ? [v0: bool] : (hAPP_f355887345l_bool(all_572_0,
% 79.02/11.38 | bot_bo454148287e_bool) = v0 & hBOOL(v0) = 0 & bool(v0))
% 79.02/11.38 |
% 79.02/11.38 | GROUND_INST: instantiating (fact_4_cut) with all_509_2, all_570_2, all_570_2,
% 79.02/11.38 | all_509_1, all_570_1, all_570_1, simplifying with (60), (79),
% 79.02/11.38 | (124), (126) gives:
% 79.02/11.38 | (128) ? [v0: fun_fu1783763359l_bool] : ? [v1: bool] : ? [v2: any] : ?
% 79.02/11.38 | [v3: any] : ? [v4: any] : (hoare_1193527299_state(all_570_2) = v0 &
% 79.02/11.38 | hAPP_f355887345l_bool(v0, all_570_2) = v1 & hBOOL(v1) = v2 &
% 79.02/11.38 | hBOOL(all_570_1) = v4 & hBOOL(all_570_1) = v3 &
% 79.02/11.38 | fun_fu1783763359l_bool(v0) & bool(v1) & ( ~ (v3 = 0) | ~ (v2 = 0)
% 79.02/11.38 | | v4 = 0))
% 79.02/11.38 |
% 79.02/11.38 | GROUND_INST: instantiating (fact_4_cut) with all_509_2, fa, all_570_2,
% 79.02/11.38 | all_509_1, all_509_0, all_570_1, simplifying with (29), (59),
% 79.02/11.38 | (60), (79), (124), (126) gives:
% 79.02/11.39 | (129) ? [v0: fun_fu1783763359l_bool] : ? [v1: bool] : ? [v2: any] : ?
% 79.02/11.39 | [v3: any] : ? [v4: any] : (hoare_1193527299_state(fa) = v0 &
% 79.02/11.39 | hAPP_f355887345l_bool(v0, all_570_2) = v1 & hBOOL(v1) = v2 &
% 79.02/11.39 | hBOOL(all_570_1) = v4 & hBOOL(all_509_0) = v3 &
% 79.02/11.39 | fun_fu1783763359l_bool(v0) & bool(v1) & ( ~ (v3 = 0) | ~ (v2 = 0)
% 79.02/11.39 | | v4 = 0))
% 79.02/11.39 |
% 79.02/11.39 | GROUND_INST: instantiating (fact_4_cut) with all_509_2, all_570_2, fa,
% 79.02/11.39 | all_509_1, all_570_1, all_509_0, simplifying with (29), (59),
% 79.02/11.39 | (60), (79), (124), (126) gives:
% 79.02/11.39 | (130) ? [v0: fun_fu1783763359l_bool] : ? [v1: bool] : ? [v2: any] : ?
% 79.02/11.39 | [v3: any] : ? [v4: any] : (hoare_1193527299_state(all_570_2) = v0 &
% 79.02/11.39 | hAPP_f355887345l_bool(v0, fa) = v1 & hBOOL(v1) = v2 &
% 79.02/11.39 | hBOOL(all_570_1) = v3 & hBOOL(all_509_0) = v4 &
% 79.02/11.39 | fun_fu1783763359l_bool(v0) & bool(v1) & ( ~ (v3 = 0) | ~ (v2 = 0)
% 79.02/11.39 | | v4 = 0))
% 79.02/11.39 |
% 79.02/11.39 | GROUND_INST: instantiating (fact_4_cut) with all_509_2, fa, fa, all_509_1,
% 79.02/11.39 | all_509_0, all_509_0, simplifying with (29), (59), (60), (124)
% 79.02/11.39 | gives:
% 79.02/11.39 | (131) ? [v0: fun_fu1783763359l_bool] : ? [v1: bool] : ? [v2: any] : ?
% 79.02/11.39 | [v3: any] : ? [v4: any] : (hoare_1193527299_state(fa) = v0 &
% 79.02/11.39 | hAPP_f355887345l_bool(v0, fa) = v1 & hBOOL(v1) = v2 &
% 79.02/11.39 | hBOOL(all_509_0) = v4 & hBOOL(all_509_0) = v3 &
% 79.02/11.39 | fun_fu1783763359l_bool(v0) & bool(v1) & ( ~ (v3 = 0) | ~ (v2 = 0)
% 79.02/11.39 | | v4 = 0))
% 79.02/11.39 |
% 79.02/11.39 | GROUND_INST: instantiating (1) with all_509_2, all_509_1, simplifying with
% 79.02/11.39 | (60), (124) gives:
% 79.02/11.39 | (132) ? [v0: bool] : (hAPP_f355887345l_bool(all_509_1,
% 79.02/11.39 | bot_bo454148287e_bool) = v0 & hBOOL(v0) = 0 & bool(v0))
% 79.02/11.39 |
% 79.02/11.39 | GROUND_INST: instantiating (3) with fa, all_509_2, all_514_1, all_509_1,
% 79.02/11.39 | all_514_5, all_514_0, all_509_0, simplifying with (29), (59),
% 79.02/11.39 | (60), (69), (71), (72), (124) gives:
% 79.02/11.39 | (133) ? [v0: bool] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 79.02/11.39 | (hAPP_f355887345l_bool(all_509_1, all_514_1) = v0 & hBOOL(v0) = v1 &
% 79.02/11.39 | hBOOL(all_514_0) = v2 & hBOOL(all_509_0) = v3 & bool(v0) & ( ~ (v2
% 79.02/11.39 | = 0) | ~ (v1 = 0) | v3 = 0))
% 79.02/11.39 |
% 79.02/11.39 | GROUND_INST: instantiating (11) with all_514_1, fa, all_514_1, all_514_5,
% 79.02/11.39 | all_514_0, all_514_0, simplifying with (29), (69), (71), (72)
% 79.02/11.39 | gives:
% 79.02/11.39 | (134) ? [v0: any] : ? [v1: fun_fu1783763359l_bool] : ? [v2: bool] : ?
% 79.02/11.39 | [v3: any] : ? [v4: any] :
% 79.02/11.39 | (hAPP_f15397171l_bool(ord_le1119700979e_bool, all_514_1) = v1 &
% 79.02/11.39 | hAPP_f355887345l_bool(v1, all_514_1) = v2 & hBOOL(v2) = v3 &
% 79.02/11.39 | hBOOL(all_514_0) = v4 & hBOOL(all_514_0) = v0 &
% 79.02/11.39 | fun_fu1783763359l_bool(v1) & bool(v2) & ( ~ (v3 = 0) | ~ (v0 = 0)
% 79.02/11.39 | | v4 = 0))
% 79.02/11.39 |
% 79.02/11.39 | GROUND_INST: instantiating (15) with fa, all_514_1, all_514_5, all_514_0,
% 79.02/11.39 | simplifying with (29), (69), (71), (72) gives:
% 79.02/11.39 | (135) ? [v0: any] : ? [v1: bool] : ? [v2: any] : ? [v3: bool] : ? [v4:
% 79.02/11.39 | any] : (hAPP_f355887345l_bool(finite1765195604_state, all_514_1) =
% 79.02/11.39 | v1 & hAPP_f355887345l_bool(finite1765195604_state, fa) = v3 &
% 79.02/11.39 | hBOOL(v3) = v4 & hBOOL(v1) = v2 & hBOOL(all_514_0) = v0 & bool(v3)
% 79.02/11.39 | & bool(v1) & ( ~ (v2 = 0) | ~ (v0 = 0) | v4 = 0))
% 79.02/11.39 |
% 79.02/11.39 | GROUND_INST: instantiating (16) with fa, all_514_1, all_514_5, all_514_0,
% 79.02/11.39 | simplifying with (29), (69), (71), (72) gives:
% 79.02/11.39 | (136) ? [v0: bool] : ? [v1: any] : ? [v2: any] : ? [v3: bool] : ? [v4:
% 79.02/11.39 | any] : (hAPP_f355887345l_bool(finite1765195604_state, all_514_1) =
% 79.02/11.39 | v0 & hAPP_f355887345l_bool(finite1765195604_state, fa) = v3 &
% 79.02/11.39 | hBOOL(v3) = v4 & hBOOL(v0) = v1 & hBOOL(all_514_0) = v2 & bool(v3)
% 79.02/11.39 | & bool(v0) & ( ~ (v2 = 0) | ~ (v1 = 0) | v4 = 0))
% 79.02/11.39 |
% 79.02/11.39 | GROUND_INST: instantiating (2) with fa, all_514_1, all_514_5, all_514_0,
% 79.02/11.39 | simplifying with (29), (69), (71), (72) gives:
% 79.02/11.39 | (137) ? [v0: any] : ? [v1: fun_fu1783763359l_bool] : ? [v2: bool] : ?
% 79.02/11.39 | [v3: any] : (hoare_1193527299_state(all_514_1) = v1 &
% 79.02/11.39 | hAPP_f355887345l_bool(v1, fa) = v2 & hBOOL(v2) = v3 &
% 79.02/11.39 | hBOOL(all_514_0) = v0 & fun_fu1783763359l_bool(v1) & bool(v2) & ( ~
% 79.02/11.39 | (v0 = 0) | v3 = 0))
% 79.02/11.39 |
% 79.02/11.39 | GROUND_INST: instantiating (4) with all_570_2, all_509_2, all_499_3,
% 79.02/11.39 | all_509_1, all_570_2, all_570_1, all_570_1, simplifying with
% 79.02/11.39 | (60), (79), (119), (121), (124), (126) gives:
% 79.02/11.39 | (138) ? [v0: any] : ? [v1: any] : ? [v2: fun_Ho734851753e_bool] : ?
% 79.02/11.39 | [v3: bool] : ? [v4: any] : (insert668001005_state(all_499_3,
% 79.02/11.39 | all_570_2) = v2 & hAPP_f355887345l_bool(all_509_1, v2) = v3 &
% 79.02/11.39 | hBOOL(v3) = v4 & hBOOL(all_570_1) = v1 & hBOOL(all_570_1) = v0 &
% 79.02/11.39 | fun_Ho734851753e_bool(v2) & bool(v3) & ( ~ (v1 = 0) | ~ (v0 = 0) |
% 79.02/11.39 | v4 = 0))
% 79.02/11.39 |
% 79.02/11.39 | GROUND_INST: instantiating (5) with all_509_2, all_499_3, all_570_2,
% 79.02/11.39 | all_509_1, all_570_2, all_570_1, all_570_1, simplifying with
% 79.02/11.39 | (60), (79), (119), (121), (124), (126) gives:
% 79.02/11.39 | (139) ? [v0: fun_Ho734851753e_bool] : ? [v1: bool] : ? [v2: any] : ?
% 79.02/11.39 | [v3: any] : ? [v4: any] : (insert668001005_state(all_499_3,
% 79.02/11.39 | all_570_2) = v0 & hAPP_f355887345l_bool(all_509_1, v0) = v1 &
% 79.02/11.39 | hBOOL(v1) = v2 & hBOOL(all_570_1) = v4 & hBOOL(all_570_1) = v3 &
% 79.02/11.39 | fun_Ho734851753e_bool(v0) & bool(v1) & ( ~ (v2 = 0) | (v4 = 0 & v3
% 79.02/11.39 | = 0)))
% 79.02/11.39 |
% 79.02/11.39 | GROUND_INST: instantiating (4) with fa, all_509_2, all_499_3, all_509_1,
% 79.02/11.39 | all_570_2, all_570_1, all_509_0, simplifying with (29), (59),
% 79.02/11.39 | (60), (119), (121), (124), (126) gives:
% 79.02/11.40 | (140) ? [v0: any] : ? [v1: any] : ? [v2: fun_Ho734851753e_bool] : ?
% 79.02/11.40 | [v3: bool] : ? [v4: any] : (insert668001005_state(all_499_3, fa) =
% 79.02/11.40 | v2 & hAPP_f355887345l_bool(all_509_1, v2) = v3 & hBOOL(v3) = v4 &
% 79.02/11.40 | hBOOL(all_570_1) = v0 & hBOOL(all_509_0) = v1 &
% 79.02/11.40 | fun_Ho734851753e_bool(v2) & bool(v3) & ( ~ (v1 = 0) | ~ (v0 = 0) |
% 79.02/11.40 | v4 = 0))
% 79.02/11.40 |
% 79.02/11.40 | GROUND_INST: instantiating (5) with all_509_2, all_499_3, fa, all_509_1,
% 79.02/11.40 | all_570_2, all_570_1, all_509_0, simplifying with (29), (59),
% 79.02/11.40 | (60), (119), (121), (124), (126) gives:
% 79.02/11.40 | (141) ? [v0: fun_Ho734851753e_bool] : ? [v1: bool] : ? [v2: any] : ?
% 79.02/11.40 | [v3: any] : ? [v4: any] : (insert668001005_state(all_499_3, fa) = v0
% 79.02/11.40 | & hAPP_f355887345l_bool(all_509_1, v0) = v1 & hBOOL(v1) = v2 &
% 79.02/11.40 | hBOOL(all_570_1) = v3 & hBOOL(all_509_0) = v4 &
% 79.02/11.40 | fun_Ho734851753e_bool(v0) & bool(v1) & ( ~ (v2 = 0) | (v4 = 0 & v3
% 79.02/11.40 | = 0)))
% 79.02/11.40 |
% 79.02/11.40 | GROUND_INST: instantiating (92) with y, all_499_3, simplifying with (31), (55)
% 79.02/11.40 | gives:
% 79.02/11.40 | (142) ~ (all_572_1 = 0) | ~ (all_572_2 = 0) | ? [v0: bool] : ? [v1:
% 79.02/11.40 | any] : ? [v2: fun_Ho734851753e_bool] : ? [v3: bool] : ? [v4:
% 79.02/11.40 | any] : (wt(y) = v0 & insert668001005_state(all_499_3,
% 79.02/11.40 | bot_bo454148287e_bool) = v2 & hAPP_f355887345l_bool(all_572_0,
% 79.02/11.40 | v2) = v3 & hBOOL(v3) = v4 & hBOOL(v0) = v1 &
% 79.02/11.40 | fun_Ho734851753e_bool(v2) & bool(v3) & bool(v0) & ( ~ (v1 = 0) | v4
% 79.02/11.40 | = 0))
% 79.02/11.40 |
% 79.02/11.40 | GROUND_INST: instantiating (19) with fa, all_514_3, all_485_1, all_514_5,
% 79.02/11.40 | all_514_1, all_514_0, simplifying with (29), (68), (71), (72),
% 79.02/11.40 | (117), (120) gives:
% 79.02/11.40 | (143) ? [v0: fun_pname_bool] : ? [v1: fun_fu1430349052l_bool] : ? [v2:
% 79.02/11.40 | bool] : (image_1256224870_state(all_514_3, v0) = fa &
% 79.02/11.40 | hAPP_f434788991l_bool(ord_le313189616e_bool, v0) = v1 &
% 79.02/11.40 | hAPP_f1664156314l_bool(v1, all_485_1) = v2 & hBOOL(v2) = 0 &
% 79.02/11.40 | fun_fu1430349052l_bool(v1) & fun_pname_bool(v0) & bool(v2)) | ?
% 79.02/11.40 | [v0: int] : ( ~ (v0 = 0) & hBOOL(all_514_0) = v0)
% 79.02/11.40 |
% 79.02/11.40 | GROUND_INST: instantiating (fact_255_Collect__def) with all_451_0,
% 79.02/11.40 | bot_bo454148287e_bool, simplifying with (44), (45) gives:
% 79.02/11.40 | (144) all_451_0 = bot_bo454148287e_bool
% 79.02/11.40 |
% 79.02/11.40 | GROUND_INST: instantiating (12) with fa, all_499_3, fa, all_499_2, all_499_1,
% 79.02/11.40 | all_499_1, simplifying with (29), (54), (56), (121) gives:
% 79.02/11.40 | (145) ? [v0: any] : ? [v1: fun_fu1783763359l_bool] : ? [v2: bool] : ?
% 79.02/11.40 | [v3: any] : ? [v4: any] :
% 79.02/11.40 | (hAPP_f15397171l_bool(ord_le1119700979e_bool, fa) = v1 &
% 79.02/11.40 | hAPP_f355887345l_bool(v1, fa) = v2 & hBOOL(v2) = v3 &
% 79.02/11.40 | hBOOL(all_499_1) = v4 & hBOOL(all_499_1) = v0 &
% 79.02/11.40 | fun_fu1783763359l_bool(v1) & bool(v2) & ( ~ (v3 = 0) | ~ (v0 = 0)
% 79.02/11.40 | | v4 = 0))
% 79.02/11.40 |
% 79.02/11.40 | GROUND_INST: instantiating (10) with fa, all_499_3, fa, all_499_2, all_499_1,
% 79.02/11.40 | all_499_1, simplifying with (29), (54), (56), (121) gives:
% 79.02/11.40 | (146) ? [v0: any] : ? [v1: any] : ? [v2: fun_Ho734851753e_bool] : ?
% 79.02/11.40 | [v3: fun_Ho734851753e_bool] : (insert668001005_state(all_499_3, fa) =
% 79.02/11.40 | v3 & insert668001005_state(all_499_3, fa) = v2 & hBOOL(all_499_1) =
% 79.02/11.40 | v1 & hBOOL(all_499_1) = v0 & fun_Ho734851753e_bool(v3) &
% 79.02/11.40 | fun_Ho734851753e_bool(v2) & (v3 = v2 | v1 = 0 | v0 = 0))
% 79.02/11.40 |
% 79.02/11.40 | GROUND_INST: instantiating (13) with all_499_3, fa, fa, all_499_2, all_499_1,
% 79.02/11.40 | all_499_1, simplifying with (29), (54), (56), (121) gives:
% 79.02/11.40 | (147) ? [v0: fun_fu1783763359l_bool] : ? [v1: bool] : ? [v2: any] : ?
% 79.02/11.40 | [v3: any] : ? [v4: any] :
% 79.02/11.40 | (hAPP_f15397171l_bool(ord_le1119700979e_bool, fa) = v0 &
% 79.02/11.40 | hAPP_f355887345l_bool(v0, fa) = v1 & hBOOL(v1) = v2 &
% 79.02/11.40 | hBOOL(all_499_1) = v4 & hBOOL(all_499_1) = v3 &
% 79.02/11.40 | fun_fu1783763359l_bool(v0) & bool(v1) & ( ~ (v3 = 0) | ~ (v2 = 0)
% 79.02/11.40 | | v4 = 0))
% 79.02/11.40 |
% 79.02/11.40 | GROUND_INST: instantiating (18) with all_499_3, fa, all_499_2, all_499_1,
% 79.02/11.40 | simplifying with (29), (54), (56), (121) gives:
% 79.02/11.40 | (148) ? [v0: any] : ? [v1: bool] : ? [v2: any] :
% 79.02/11.40 | (hAPP_H2060173127e_bool(fa, all_499_3) = v1 & hBOOL(v1) = v2 &
% 79.02/11.40 | hBOOL(all_499_1) = v0 & bool(v1) & ( ~ (v0 = 0) | v2 = 0))
% 79.02/11.40 |
% 79.02/11.40 | GROUND_INST: instantiating (17) with all_499_3, fa, all_499_2, all_499_1,
% 79.02/11.40 | simplifying with (29), (54), (56), (121) gives:
% 79.02/11.40 | (149) ? [v0: bool] : ? [v1: any] : ? [v2: any] :
% 79.02/11.40 | (hAPP_H2060173127e_bool(fa, all_499_3) = v0 & hBOOL(v0) = v1 &
% 79.02/11.40 | hBOOL(all_499_1) = v2 & bool(v0) & ( ~ (v1 = 0) | v2 = 0))
% 79.02/11.40 |
% 79.02/11.40 | GROUND_INST: instantiating (9) with all_499_3, fa, all_499_2, all_499_1,
% 79.02/11.40 | simplifying with (29), (54), (56), (121) gives:
% 79.02/11.40 | (150) ? [v0: any] : ? [v1: fun_Ho734851753e_bool] :
% 79.02/11.40 | (insert668001005_state(all_499_3, fa) = v1 & hBOOL(all_499_1) = v0 &
% 79.02/11.40 | fun_Ho734851753e_bool(v1) & ( ~ (v0 = 0) | v1 = fa))
% 79.02/11.40 |
% 79.02/11.40 | GROUND_INST: instantiating (7) with all_499_3, all_499_2, simplifying with
% 79.02/11.40 | (56), (121) gives:
% 79.02/11.40 | (151) ? [v0: bool] : ? [v1: int] : ( ~ (v1 = 0) &
% 79.02/11.40 | hAPP_f355887345l_bool(all_499_2, bot_bo454148287e_bool) = v0 &
% 79.02/11.40 | hBOOL(v0) = v1 & bool(v0))
% 79.02/11.40 |
% 79.02/11.40 | DELTA: instantiating (132) with fresh symbol all_615_0 gives:
% 79.02/11.40 | (152) hAPP_f355887345l_bool(all_509_1, bot_bo454148287e_bool) = all_615_0 &
% 79.02/11.40 | hBOOL(all_615_0) = 0 & bool(all_615_0)
% 79.02/11.40 |
% 79.02/11.40 | ALPHA: (152) implies:
% 79.02/11.40 | (153) hBOOL(all_615_0) = 0
% 79.02/11.40 | (154) hAPP_f355887345l_bool(all_509_1, bot_bo454148287e_bool) = all_615_0
% 79.02/11.40 |
% 79.02/11.40 | DELTA: instantiating (127) with fresh symbol all_617_0 gives:
% 79.02/11.40 | (155) hAPP_f355887345l_bool(all_572_0, bot_bo454148287e_bool) = all_617_0 &
% 79.02/11.40 | hBOOL(all_617_0) = 0 & bool(all_617_0)
% 79.02/11.40 |
% 79.02/11.40 | ALPHA: (155) implies:
% 79.02/11.40 | (156) hAPP_f355887345l_bool(all_572_0, bot_bo454148287e_bool) = all_617_0
% 79.02/11.40 |
% 79.02/11.40 | DELTA: instantiating (151) with fresh symbols all_621_0, all_621_1 gives:
% 79.02/11.40 | (157) ~ (all_621_0 = 0) & hAPP_f355887345l_bool(all_499_2,
% 79.02/11.40 | bot_bo454148287e_bool) = all_621_1 & hBOOL(all_621_1) = all_621_0 &
% 79.02/11.40 | bool(all_621_1)
% 79.02/11.40 |
% 79.02/11.40 | ALPHA: (157) implies:
% 79.02/11.40 | (158) hAPP_f355887345l_bool(all_499_2, bot_bo454148287e_bool) = all_621_1
% 79.02/11.40 |
% 79.02/11.40 | DELTA: instantiating (150) with fresh symbols all_623_0, all_623_1 gives:
% 79.02/11.40 | (159) insert668001005_state(all_499_3, fa) = all_623_0 & hBOOL(all_499_1) =
% 79.02/11.40 | all_623_1 & fun_Ho734851753e_bool(all_623_0) & ( ~ (all_623_1 = 0) |
% 79.02/11.40 | all_623_0 = fa)
% 79.02/11.40 |
% 79.02/11.40 | ALPHA: (159) implies:
% 79.02/11.40 | (160) hBOOL(all_499_1) = all_623_1
% 79.02/11.40 | (161) insert668001005_state(all_499_3, fa) = all_623_0
% 79.02/11.40 |
% 79.02/11.40 | DELTA: instantiating (149) with fresh symbols all_625_0, all_625_1, all_625_2
% 79.02/11.40 | gives:
% 79.02/11.40 | (162) hAPP_H2060173127e_bool(fa, all_499_3) = all_625_2 & hBOOL(all_625_2)
% 79.02/11.40 | = all_625_1 & hBOOL(all_499_1) = all_625_0 & bool(all_625_2) & ( ~
% 79.02/11.40 | (all_625_1 = 0) | all_625_0 = 0)
% 79.02/11.40 |
% 79.02/11.40 | ALPHA: (162) implies:
% 79.02/11.40 | (163) hBOOL(all_499_1) = all_625_0
% 79.02/11.40 |
% 79.02/11.40 | DELTA: instantiating (148) with fresh symbols all_627_0, all_627_1, all_627_2
% 79.02/11.40 | gives:
% 79.02/11.40 | (164) hAPP_H2060173127e_bool(fa, all_499_3) = all_627_1 & hBOOL(all_627_1)
% 79.02/11.40 | = all_627_0 & hBOOL(all_499_1) = all_627_2 & bool(all_627_1) & ( ~
% 79.02/11.40 | (all_627_2 = 0) | all_627_0 = 0)
% 79.02/11.40 |
% 79.02/11.40 | ALPHA: (164) implies:
% 79.02/11.40 | (165) hBOOL(all_499_1) = all_627_2
% 79.02/11.40 |
% 79.02/11.40 | DELTA: instantiating (133) with fresh symbols all_635_0, all_635_1, all_635_2,
% 79.02/11.40 | all_635_3 gives:
% 79.02/11.40 | (166) hAPP_f355887345l_bool(all_509_1, all_514_1) = all_635_3 &
% 79.02/11.40 | hBOOL(all_635_3) = all_635_2 & hBOOL(all_514_0) = all_635_1 &
% 79.02/11.40 | hBOOL(all_509_0) = all_635_0 & bool(all_635_3) & ( ~ (all_635_1 = 0)
% 79.02/11.40 | | ~ (all_635_2 = 0) | all_635_0 = 0)
% 79.02/11.40 |
% 79.02/11.40 | ALPHA: (166) implies:
% 79.02/11.40 | (167) hBOOL(all_514_0) = all_635_1
% 79.02/11.40 | (168) hAPP_f355887345l_bool(all_509_1, all_514_1) = all_635_3
% 79.02/11.40 |
% 79.02/11.40 | DELTA: instantiating (137) with fresh symbols all_637_0, all_637_1, all_637_2,
% 79.02/11.40 | all_637_3 gives:
% 79.02/11.40 | (169) hoare_1193527299_state(all_514_1) = all_637_2 &
% 79.02/11.40 | hAPP_f355887345l_bool(all_637_2, fa) = all_637_1 & hBOOL(all_637_1) =
% 79.02/11.40 | all_637_0 & hBOOL(all_514_0) = all_637_3 &
% 79.02/11.40 | fun_fu1783763359l_bool(all_637_2) & bool(all_637_1) & ( ~ (all_637_3
% 79.02/11.40 | = 0) | all_637_0 = 0)
% 79.02/11.40 |
% 79.02/11.40 | ALPHA: (169) implies:
% 79.02/11.40 | (170) hBOOL(all_514_0) = all_637_3
% 79.02/11.40 |
% 79.02/11.40 | DELTA: instantiating (146) with fresh symbols all_641_0, all_641_1, all_641_2,
% 79.02/11.40 | all_641_3 gives:
% 79.02/11.41 | (171) insert668001005_state(all_499_3, fa) = all_641_0 &
% 79.02/11.41 | insert668001005_state(all_499_3, fa) = all_641_1 & hBOOL(all_499_1) =
% 79.02/11.41 | all_641_2 & hBOOL(all_499_1) = all_641_3 &
% 79.02/11.41 | fun_Ho734851753e_bool(all_641_0) & fun_Ho734851753e_bool(all_641_1) &
% 79.02/11.41 | (all_641_0 = all_641_1 | all_641_2 = 0 | all_641_3 = 0)
% 79.02/11.41 |
% 79.02/11.41 | ALPHA: (171) implies:
% 79.02/11.41 | (172) fun_Ho734851753e_bool(all_641_1)
% 79.02/11.41 | (173) hBOOL(all_499_1) = all_641_3
% 79.02/11.41 | (174) hBOOL(all_499_1) = all_641_2
% 79.02/11.41 | (175) insert668001005_state(all_499_3, fa) = all_641_1
% 79.02/11.41 | (176) insert668001005_state(all_499_3, fa) = all_641_0
% 79.02/11.41 |
% 79.02/11.41 | DELTA: instantiating (141) with fresh symbols all_643_0, all_643_1, all_643_2,
% 79.02/11.41 | all_643_3, all_643_4 gives:
% 79.02/11.41 | (177) insert668001005_state(all_499_3, fa) = all_643_4 &
% 79.02/11.41 | hAPP_f355887345l_bool(all_509_1, all_643_4) = all_643_3 &
% 79.02/11.41 | hBOOL(all_643_3) = all_643_2 & hBOOL(all_570_1) = all_643_1 &
% 79.02/11.41 | hBOOL(all_509_0) = all_643_0 & fun_Ho734851753e_bool(all_643_4) &
% 79.02/11.41 | bool(all_643_3) & ( ~ (all_643_2 = 0) | (all_643_0 = 0 & all_643_1 =
% 79.02/11.41 | 0))
% 79.02/11.41 |
% 79.02/11.41 | ALPHA: (177) implies:
% 79.02/11.41 | (178) hBOOL(all_570_1) = all_643_1
% 79.02/11.41 | (179) hAPP_f355887345l_bool(all_509_1, all_643_4) = all_643_3
% 79.02/11.41 | (180) insert668001005_state(all_499_3, fa) = all_643_4
% 79.02/11.41 |
% 79.02/11.41 | DELTA: instantiating (140) with fresh symbols all_645_0, all_645_1, all_645_2,
% 79.02/11.41 | all_645_3, all_645_4 gives:
% 79.02/11.41 | (181) insert668001005_state(all_499_3, fa) = all_645_2 &
% 79.02/11.41 | hAPP_f355887345l_bool(all_509_1, all_645_2) = all_645_1 &
% 79.02/11.41 | hBOOL(all_645_1) = all_645_0 & hBOOL(all_570_1) = all_645_4 &
% 79.02/11.41 | hBOOL(all_509_0) = all_645_3 & fun_Ho734851753e_bool(all_645_2) &
% 79.02/11.41 | bool(all_645_1) & ( ~ (all_645_3 = 0) | ~ (all_645_4 = 0) |
% 79.02/11.41 | all_645_0 = 0)
% 79.02/11.41 |
% 79.02/11.41 | ALPHA: (181) implies:
% 79.02/11.41 | (182) hBOOL(all_570_1) = all_645_4
% 79.02/11.41 | (183) hAPP_f355887345l_bool(all_509_1, all_645_2) = all_645_1
% 79.02/11.41 | (184) insert668001005_state(all_499_3, fa) = all_645_2
% 79.02/11.41 |
% 79.02/11.41 | DELTA: instantiating (145) with fresh symbols all_647_0, all_647_1, all_647_2,
% 79.02/11.41 | all_647_3, all_647_4 gives:
% 79.02/11.41 | (185) hAPP_f15397171l_bool(ord_le1119700979e_bool, fa) = all_647_3 &
% 79.02/11.41 | hAPP_f355887345l_bool(all_647_3, fa) = all_647_2 & hBOOL(all_647_2) =
% 79.02/11.41 | all_647_1 & hBOOL(all_499_1) = all_647_0 & hBOOL(all_499_1) =
% 79.02/11.41 | all_647_4 & fun_fu1783763359l_bool(all_647_3) & bool(all_647_2) & ( ~
% 79.02/11.41 | (all_647_1 = 0) | ~ (all_647_4 = 0) | all_647_0 = 0)
% 79.02/11.41 |
% 79.02/11.41 | ALPHA: (185) implies:
% 79.02/11.41 | (186) hBOOL(all_499_1) = all_647_4
% 79.02/11.41 | (187) hBOOL(all_499_1) = all_647_0
% 79.02/11.41 |
% 79.02/11.41 | DELTA: instantiating (147) with fresh symbols all_649_0, all_649_1, all_649_2,
% 79.02/11.41 | all_649_3, all_649_4 gives:
% 79.02/11.41 | (188) hAPP_f15397171l_bool(ord_le1119700979e_bool, fa) = all_649_4 &
% 79.02/11.41 | hAPP_f355887345l_bool(all_649_4, fa) = all_649_3 & hBOOL(all_649_3) =
% 79.02/11.41 | all_649_2 & hBOOL(all_499_1) = all_649_0 & hBOOL(all_499_1) =
% 79.02/11.41 | all_649_1 & fun_fu1783763359l_bool(all_649_4) & bool(all_649_3) & ( ~
% 79.02/11.41 | (all_649_1 = 0) | ~ (all_649_2 = 0) | all_649_0 = 0)
% 79.02/11.41 |
% 79.02/11.41 | ALPHA: (188) implies:
% 79.02/11.41 | (189) hBOOL(all_499_1) = all_649_1
% 79.02/11.41 | (190) hBOOL(all_499_1) = all_649_0
% 79.02/11.41 |
% 79.02/11.41 | DELTA: instantiating (128) with fresh symbols all_651_0, all_651_1, all_651_2,
% 79.02/11.41 | all_651_3, all_651_4 gives:
% 79.02/11.41 | (191) hoare_1193527299_state(all_570_2) = all_651_4 &
% 79.02/11.41 | hAPP_f355887345l_bool(all_651_4, all_570_2) = all_651_3 &
% 79.02/11.41 | hBOOL(all_651_3) = all_651_2 & hBOOL(all_570_1) = all_651_0 &
% 79.02/11.41 | hBOOL(all_570_1) = all_651_1 & fun_fu1783763359l_bool(all_651_4) &
% 79.02/11.41 | bool(all_651_3) & ( ~ (all_651_1 = 0) | ~ (all_651_2 = 0) |
% 79.02/11.41 | all_651_0 = 0)
% 79.02/11.41 |
% 79.02/11.41 | ALPHA: (191) implies:
% 79.02/11.41 | (192) hBOOL(all_570_1) = all_651_1
% 79.02/11.41 | (193) hBOOL(all_570_1) = all_651_0
% 79.02/11.41 | (194) hAPP_f355887345l_bool(all_651_4, all_570_2) = all_651_3
% 79.02/11.41 | (195) hoare_1193527299_state(all_570_2) = all_651_4
% 79.02/11.41 |
% 79.02/11.41 | DELTA: instantiating (136) with fresh symbols all_653_0, all_653_1, all_653_2,
% 79.02/11.41 | all_653_3, all_653_4 gives:
% 79.02/11.41 | (196) hAPP_f355887345l_bool(finite1765195604_state, all_514_1) = all_653_4
% 79.02/11.41 | & hAPP_f355887345l_bool(finite1765195604_state, fa) = all_653_1 &
% 79.02/11.41 | hBOOL(all_653_1) = all_653_0 & hBOOL(all_653_4) = all_653_3 &
% 79.02/11.41 | hBOOL(all_514_0) = all_653_2 & bool(all_653_1) & bool(all_653_4) & (
% 79.02/11.41 | ~ (all_653_2 = 0) | ~ (all_653_3 = 0) | all_653_0 = 0)
% 79.02/11.41 |
% 79.02/11.41 | ALPHA: (196) implies:
% 79.02/11.41 | (197) hBOOL(all_514_0) = all_653_2
% 79.02/11.41 |
% 79.02/11.41 | DELTA: instantiating (134) with fresh symbols all_655_0, all_655_1, all_655_2,
% 79.02/11.41 | all_655_3, all_655_4 gives:
% 79.02/11.41 | (198) hAPP_f15397171l_bool(ord_le1119700979e_bool, all_514_1) = all_655_3 &
% 79.02/11.41 | hAPP_f355887345l_bool(all_655_3, all_514_1) = all_655_2 &
% 79.02/11.41 | hBOOL(all_655_2) = all_655_1 & hBOOL(all_514_0) = all_655_0 &
% 79.02/11.41 | hBOOL(all_514_0) = all_655_4 & fun_fu1783763359l_bool(all_655_3) &
% 79.02/11.41 | bool(all_655_2) & ( ~ (all_655_1 = 0) | ~ (all_655_4 = 0) |
% 79.02/11.41 | all_655_0 = 0)
% 79.02/11.41 |
% 79.02/11.41 | ALPHA: (198) implies:
% 79.02/11.41 | (199) hBOOL(all_514_0) = all_655_4
% 79.02/11.41 | (200) hBOOL(all_514_0) = all_655_0
% 79.02/11.41 |
% 79.02/11.41 | DELTA: instantiating (139) with fresh symbols all_657_0, all_657_1, all_657_2,
% 79.02/11.41 | all_657_3, all_657_4 gives:
% 79.02/11.41 | (201) insert668001005_state(all_499_3, all_570_2) = all_657_4 &
% 79.02/11.41 | hAPP_f355887345l_bool(all_509_1, all_657_4) = all_657_3 &
% 79.02/11.41 | hBOOL(all_657_3) = all_657_2 & hBOOL(all_570_1) = all_657_0 &
% 79.02/11.41 | hBOOL(all_570_1) = all_657_1 & fun_Ho734851753e_bool(all_657_4) &
% 79.02/11.41 | bool(all_657_3) & ( ~ (all_657_2 = 0) | (all_657_0 = 0 & all_657_1 =
% 79.02/11.41 | 0))
% 79.02/11.41 |
% 79.02/11.41 | ALPHA: (201) implies:
% 79.02/11.41 | (202) hBOOL(all_570_1) = all_657_1
% 79.02/11.41 | (203) hBOOL(all_570_1) = all_657_0
% 79.02/11.41 | (204) hBOOL(all_657_3) = all_657_2
% 79.02/11.41 | (205) hAPP_f355887345l_bool(all_509_1, all_657_4) = all_657_3
% 79.02/11.41 | (206) insert668001005_state(all_499_3, all_570_2) = all_657_4
% 79.02/11.41 | (207) ~ (all_657_2 = 0) | (all_657_0 = 0 & all_657_1 = 0)
% 79.02/11.41 |
% 79.02/11.41 | DELTA: instantiating (138) with fresh symbols all_659_0, all_659_1, all_659_2,
% 79.02/11.41 | all_659_3, all_659_4 gives:
% 79.02/11.41 | (208) insert668001005_state(all_499_3, all_570_2) = all_659_2 &
% 79.02/11.41 | hAPP_f355887345l_bool(all_509_1, all_659_2) = all_659_1 &
% 79.02/11.41 | hBOOL(all_659_1) = all_659_0 & hBOOL(all_570_1) = all_659_3 &
% 79.02/11.41 | hBOOL(all_570_1) = all_659_4 & fun_Ho734851753e_bool(all_659_2) &
% 79.02/11.41 | bool(all_659_1) & ( ~ (all_659_3 = 0) | ~ (all_659_4 = 0) |
% 79.02/11.41 | all_659_0 = 0)
% 79.02/11.41 |
% 79.02/11.41 | ALPHA: (208) implies:
% 79.02/11.41 | (209) fun_Ho734851753e_bool(all_659_2)
% 79.02/11.41 | (210) hBOOL(all_570_1) = all_659_4
% 79.02/11.41 | (211) hBOOL(all_570_1) = all_659_3
% 79.02/11.41 | (212) hAPP_f355887345l_bool(all_509_1, all_659_2) = all_659_1
% 79.02/11.41 | (213) insert668001005_state(all_499_3, all_570_2) = all_659_2
% 79.02/11.41 |
% 79.02/11.41 | DELTA: instantiating (130) with fresh symbols all_661_0, all_661_1, all_661_2,
% 79.02/11.41 | all_661_3, all_661_4 gives:
% 79.02/11.41 | (214) hoare_1193527299_state(all_570_2) = all_661_4 &
% 79.02/11.41 | hAPP_f355887345l_bool(all_661_4, fa) = all_661_3 & hBOOL(all_661_3) =
% 79.02/11.41 | all_661_2 & hBOOL(all_570_1) = all_661_1 & hBOOL(all_509_0) =
% 79.02/11.41 | all_661_0 & fun_fu1783763359l_bool(all_661_4) & bool(all_661_3) & ( ~
% 79.02/11.41 | (all_661_1 = 0) | ~ (all_661_2 = 0) | all_661_0 = 0)
% 79.02/11.41 |
% 79.02/11.41 | ALPHA: (214) implies:
% 79.02/11.41 | (215) hBOOL(all_570_1) = all_661_1
% 79.02/11.41 | (216) hoare_1193527299_state(all_570_2) = all_661_4
% 79.02/11.41 |
% 79.02/11.41 | DELTA: instantiating (129) with fresh symbols all_663_0, all_663_1, all_663_2,
% 79.02/11.41 | all_663_3, all_663_4 gives:
% 79.02/11.41 | (217) hoare_1193527299_state(fa) = all_663_4 &
% 79.02/11.41 | hAPP_f355887345l_bool(all_663_4, all_570_2) = all_663_3 &
% 79.02/11.41 | hBOOL(all_663_3) = all_663_2 & hBOOL(all_570_1) = all_663_0 &
% 79.02/11.41 | hBOOL(all_509_0) = all_663_1 & fun_fu1783763359l_bool(all_663_4) &
% 79.02/11.41 | bool(all_663_3) & ( ~ (all_663_1 = 0) | ~ (all_663_2 = 0) |
% 79.02/11.41 | all_663_0 = 0)
% 79.02/11.41 |
% 79.02/11.41 | ALPHA: (217) implies:
% 79.02/11.41 | (218) hBOOL(all_570_1) = all_663_0
% 79.02/11.41 | (219) hAPP_f355887345l_bool(all_663_4, all_570_2) = all_663_3
% 79.02/11.41 | (220) hoare_1193527299_state(fa) = all_663_4
% 79.02/11.41 |
% 79.02/11.41 | DELTA: instantiating (131) with fresh symbols all_665_0, all_665_1, all_665_2,
% 79.02/11.41 | all_665_3, all_665_4 gives:
% 79.02/11.41 | (221) hoare_1193527299_state(fa) = all_665_4 &
% 79.02/11.41 | hAPP_f355887345l_bool(all_665_4, fa) = all_665_3 & hBOOL(all_665_3) =
% 79.02/11.41 | all_665_2 & hBOOL(all_509_0) = all_665_0 & hBOOL(all_509_0) =
% 79.02/11.41 | all_665_1 & fun_fu1783763359l_bool(all_665_4) & bool(all_665_3) & ( ~
% 79.02/11.41 | (all_665_1 = 0) | ~ (all_665_2 = 0) | all_665_0 = 0)
% 79.02/11.41 |
% 79.02/11.41 | ALPHA: (221) implies:
% 79.02/11.41 | (222) hoare_1193527299_state(fa) = all_665_4
% 79.02/11.41 |
% 79.02/11.41 | DELTA: instantiating (135) with fresh symbols all_667_0, all_667_1, all_667_2,
% 79.02/11.41 | all_667_3, all_667_4 gives:
% 79.02/11.41 | (223) hAPP_f355887345l_bool(finite1765195604_state, all_514_1) = all_667_3
% 79.02/11.41 | & hAPP_f355887345l_bool(finite1765195604_state, fa) = all_667_1 &
% 79.02/11.41 | hBOOL(all_667_1) = all_667_0 & hBOOL(all_667_3) = all_667_2 &
% 79.02/11.41 | hBOOL(all_514_0) = all_667_4 & bool(all_667_1) & bool(all_667_3) & (
% 79.02/11.41 | ~ (all_667_2 = 0) | ~ (all_667_4 = 0) | all_667_0 = 0)
% 79.02/11.41 |
% 79.02/11.41 | ALPHA: (223) implies:
% 79.02/11.41 | (224) hBOOL(all_514_0) = all_667_4
% 79.02/11.41 |
% 79.02/11.41 | BETA: splitting (142) gives:
% 79.02/11.41 |
% 79.02/11.41 | Case 1:
% 79.02/11.41 | |
% 79.02/11.41 | | (225) ~ (all_572_1 = 0)
% 79.02/11.41 | |
% 79.02/11.41 | | REDUCE: (97), (225) imply:
% 79.02/11.41 | | (226) $false
% 79.02/11.41 | |
% 79.02/11.41 | | CLOSE: (226) is inconsistent.
% 79.02/11.41 | |
% 79.02/11.41 | Case 2:
% 79.02/11.41 | |
% 79.02/11.41 | | (227) ~ (all_572_2 = 0) | ? [v0: bool] : ? [v1: any] : ? [v2:
% 79.02/11.41 | | fun_Ho734851753e_bool] : ? [v3: bool] : ? [v4: any] : (wt(y) =
% 79.02/11.41 | | v0 & insert668001005_state(all_499_3, bot_bo454148287e_bool) = v2
% 79.02/11.41 | | & hAPP_f355887345l_bool(all_572_0, v2) = v3 & hBOOL(v3) = v4 &
% 79.02/11.41 | | hBOOL(v0) = v1 & fun_Ho734851753e_bool(v2) & bool(v3) & bool(v0)
% 79.02/11.41 | | & ( ~ (v1 = 0) | v4 = 0))
% 79.02/11.41 | |
% 79.02/11.41 | | BETA: splitting (227) gives:
% 79.02/11.41 | |
% 79.02/11.41 | | Case 1:
% 79.02/11.41 | | |
% 79.02/11.41 | | | (228) ~ (all_572_2 = 0)
% 79.02/11.41 | | |
% 79.02/11.41 | | | REDUCE: (109), (228) imply:
% 79.02/11.42 | | | (229) $false
% 79.02/11.42 | | |
% 79.02/11.42 | | | CLOSE: (229) is inconsistent.
% 79.02/11.42 | | |
% 79.02/11.42 | | Case 2:
% 79.02/11.42 | | |
% 79.02/11.42 | | | (230) ? [v0: bool] : ? [v1: any] : ? [v2: fun_Ho734851753e_bool] :
% 79.02/11.42 | | | ? [v3: bool] : ? [v4: any] : (wt(y) = v0 &
% 79.02/11.42 | | | insert668001005_state(all_499_3, bot_bo454148287e_bool) = v2 &
% 79.02/11.42 | | | hAPP_f355887345l_bool(all_572_0, v2) = v3 & hBOOL(v3) = v4 &
% 79.02/11.42 | | | hBOOL(v0) = v1 & fun_Ho734851753e_bool(v2) & bool(v3) &
% 79.02/11.42 | | | bool(v0) & ( ~ (v1 = 0) | v4 = 0))
% 79.02/11.42 | | |
% 79.02/11.42 | | | DELTA: instantiating (230) with fresh symbols all_677_0, all_677_1,
% 79.02/11.42 | | | all_677_2, all_677_3, all_677_4 gives:
% 79.02/11.42 | | | (231) wt(y) = all_677_4 & insert668001005_state(all_499_3,
% 79.02/11.42 | | | bot_bo454148287e_bool) = all_677_2 &
% 79.02/11.42 | | | hAPP_f355887345l_bool(all_572_0, all_677_2) = all_677_1 &
% 79.02/11.42 | | | hBOOL(all_677_1) = all_677_0 & hBOOL(all_677_4) = all_677_3 &
% 79.02/11.42 | | | fun_Ho734851753e_bool(all_677_2) & bool(all_677_1) &
% 79.02/11.42 | | | bool(all_677_4) & ( ~ (all_677_3 = 0) | all_677_0 = 0)
% 79.02/11.42 | | |
% 79.02/11.42 | | | ALPHA: (231) implies:
% 79.02/11.42 | | | (232) fun_Ho734851753e_bool(all_677_2)
% 79.02/11.42 | | | (233) hBOOL(all_677_4) = all_677_3
% 79.02/11.42 | | | (234) hBOOL(all_677_1) = all_677_0
% 79.02/11.42 | | | (235) hAPP_f355887345l_bool(all_572_0, all_677_2) = all_677_1
% 79.02/11.42 | | | (236) insert668001005_state(all_499_3, bot_bo454148287e_bool) =
% 79.02/11.42 | | | all_677_2
% 79.02/11.42 | | | (237) wt(y) = all_677_4
% 79.02/11.42 | | | (238) ~ (all_677_3 = 0) | all_677_0 = 0
% 79.02/11.42 | | |
% 79.02/11.42 | | | GROUND_INST: instantiating (34) with all_625_0, all_647_4, all_499_1,
% 79.02/11.42 | | | simplifying with (163), (186) gives:
% 79.02/11.42 | | | (239) all_647_4 = all_625_0
% 79.02/11.42 | | |
% 79.02/11.42 | | | GROUND_INST: instantiating (34) with all_647_4, all_647_0, all_499_1,
% 79.02/11.42 | | | simplifying with (186), (187) gives:
% 79.02/11.42 | | | (240) all_647_0 = all_647_4
% 79.02/11.42 | | |
% 79.02/11.42 | | | GROUND_INST: instantiating (34) with all_641_3, all_647_0, all_499_1,
% 79.02/11.42 | | | simplifying with (173), (187) gives:
% 79.02/11.42 | | | (241) all_647_0 = all_641_3
% 79.02/11.42 | | |
% 79.02/11.42 | | | GROUND_INST: instantiating (34) with all_499_0, all_649_1, all_499_1,
% 79.02/11.42 | | | simplifying with (53), (189) gives:
% 79.02/11.42 | | | (242) all_649_1 = all_499_0
% 79.02/11.42 | | |
% 79.02/11.42 | | | GROUND_INST: instantiating (34) with all_647_4, all_649_1, all_499_1,
% 79.02/11.42 | | | simplifying with (186), (189) gives:
% 79.02/11.42 | | | (243) all_649_1 = all_647_4
% 79.02/11.42 | | |
% 79.02/11.42 | | | GROUND_INST: instantiating (34) with all_647_4, all_649_0, all_499_1,
% 79.02/11.42 | | | simplifying with (186), (190) gives:
% 79.02/11.42 | | | (244) all_649_0 = all_647_4
% 79.02/11.42 | | |
% 79.02/11.42 | | | GROUND_INST: instantiating (34) with all_641_2, all_649_0, all_499_1,
% 79.02/11.42 | | | simplifying with (174), (190) gives:
% 79.02/11.42 | | | (245) all_649_0 = all_641_2
% 79.02/11.42 | | |
% 79.02/11.42 | | | GROUND_INST: instantiating (34) with all_627_2, all_649_0, all_499_1,
% 79.02/11.42 | | | simplifying with (165), (190) gives:
% 79.02/11.42 | | | (246) all_649_0 = all_627_2
% 79.02/11.42 | | |
% 79.02/11.42 | | | GROUND_INST: instantiating (34) with all_623_1, all_649_0, all_499_1,
% 79.02/11.42 | | | simplifying with (160), (190) gives:
% 79.02/11.42 | | | (247) all_649_0 = all_623_1
% 79.02/11.42 | | |
% 79.02/11.42 | | | GROUND_INST: instantiating (34) with 0, all_655_0, all_514_0, simplifying
% 79.02/11.42 | | | with (70), (200) gives:
% 79.02/11.42 | | | (248) all_655_0 = 0
% 79.02/11.42 | | |
% 79.02/11.42 | | | GROUND_INST: instantiating (34) with all_655_0, all_667_4, all_514_0,
% 79.02/11.42 | | | simplifying with (200), (224) gives:
% 79.02/11.42 | | | (249) all_667_4 = all_655_0
% 79.02/11.42 | | |
% 79.02/11.42 | | | GROUND_INST: instantiating (34) with all_655_4, all_667_4, all_514_0,
% 79.02/11.42 | | | simplifying with (199), (224) gives:
% 79.02/11.42 | | | (250) all_667_4 = all_655_4
% 79.02/11.42 | | |
% 79.02/11.42 | | | GROUND_INST: instantiating (34) with all_653_2, all_667_4, all_514_0,
% 79.02/11.42 | | | simplifying with (197), (224) gives:
% 79.02/11.42 | | | (251) all_667_4 = all_653_2
% 79.02/11.42 | | |
% 79.02/11.42 | | | GROUND_INST: instantiating (34) with all_637_3, all_667_4, all_514_0,
% 79.02/11.42 | | | simplifying with (170), (224) gives:
% 79.02/11.42 | | | (252) all_667_4 = all_637_3
% 79.02/11.42 | | |
% 79.02/11.42 | | | GROUND_INST: instantiating (34) with all_635_1, all_667_4, all_514_0,
% 79.02/11.42 | | | simplifying with (167), (224) gives:
% 79.02/11.42 | | | (253) all_667_4 = all_635_1
% 79.02/11.42 | | |
% 79.02/11.42 | | | GROUND_INST: instantiating (34) with all_643_1, all_657_1, all_570_1,
% 79.02/11.42 | | | simplifying with (178), (202) gives:
% 79.02/11.42 | | | (254) all_657_1 = all_643_1
% 79.02/11.42 | | |
% 79.02/11.42 | | | GROUND_INST: instantiating (34) with all_570_0, all_657_0, all_570_1,
% 79.02/11.42 | | | simplifying with (80), (203) gives:
% 79.02/11.42 | | | (255) all_657_0 = all_570_0
% 79.02/11.42 | | |
% 79.02/11.42 | | | GROUND_INST: instantiating (34) with all_645_4, all_657_0, all_570_1,
% 79.02/11.42 | | | simplifying with (182), (203) gives:
% 79.02/11.42 | | | (256) all_657_0 = all_645_4
% 79.02/11.42 | | |
% 79.02/11.42 | | | GROUND_INST: instantiating (34) with all_657_0, all_659_4, all_570_1,
% 79.02/11.42 | | | simplifying with (203), (210) gives:
% 79.02/11.42 | | | (257) all_659_4 = all_657_0
% 79.02/11.42 | | |
% 79.02/11.42 | | | GROUND_INST: instantiating (34) with all_657_1, all_659_4, all_570_1,
% 79.02/11.42 | | | simplifying with (202), (210) gives:
% 79.02/11.42 | | | (258) all_659_4 = all_657_1
% 79.02/11.42 | | |
% 79.02/11.42 | | | GROUND_INST: instantiating (34) with all_657_1, all_661_1, all_570_1,
% 79.02/11.42 | | | simplifying with (202), (215) gives:
% 79.02/11.42 | | | (259) all_661_1 = all_657_1
% 79.02/11.42 | | |
% 79.02/11.42 | | | GROUND_INST: instantiating (34) with all_651_0, all_661_1, all_570_1,
% 79.02/11.42 | | | simplifying with (193), (215) gives:
% 79.02/11.42 | | | (260) all_661_1 = all_651_0
% 79.02/11.42 | | |
% 79.02/11.42 | | | GROUND_INST: instantiating (34) with all_659_3, all_663_0, all_570_1,
% 79.02/11.42 | | | simplifying with (211), (218) gives:
% 79.02/11.42 | | | (261) all_663_0 = all_659_3
% 79.02/11.42 | | |
% 79.02/11.42 | | | GROUND_INST: instantiating (34) with all_659_4, all_663_0, all_570_1,
% 79.02/11.42 | | | simplifying with (210), (218) gives:
% 79.02/11.42 | | | (262) all_663_0 = all_659_4
% 79.02/11.42 | | |
% 79.02/11.42 | | | GROUND_INST: instantiating (34) with all_651_1, all_663_0, all_570_1,
% 79.02/11.42 | | | simplifying with (192), (218) gives:
% 79.02/11.42 | | | (263) all_663_0 = all_651_1
% 79.02/11.42 | | |
% 79.02/11.42 | | | GROUND_INST: instantiating (35) with all_663_4, all_665_4, fa, simplifying
% 79.02/11.42 | | | with (220), (222) gives:
% 79.02/11.42 | | | (264) all_665_4 = all_663_4
% 79.02/11.42 | | |
% 79.02/11.42 | | | GROUND_INST: instantiating (35) with all_651_4, all_661_4, all_570_2,
% 79.02/11.42 | | | simplifying with (195), (216) gives:
% 79.02/11.42 | | | (265) all_661_4 = all_651_4
% 79.02/11.42 | | |
% 79.02/11.42 | | | GROUND_INST: instantiating (39) with all_570_2, all_677_2,
% 79.02/11.42 | | | bot_bo454148287e_bool, all_499_3, simplifying with (119),
% 79.02/11.42 | | | (236) gives:
% 79.02/11.42 | | | (266) all_677_2 = all_570_2
% 79.02/11.42 | | |
% 79.02/11.42 | | | GROUND_INST: instantiating (39) with all_623_0, all_641_0, fa, all_499_3,
% 79.02/11.42 | | | simplifying with (161), (176) gives:
% 79.02/11.42 | | | (267) all_641_0 = all_623_0
% 79.02/11.42 | | |
% 79.02/11.42 | | | GROUND_INST: instantiating (39) with all_641_0, all_643_4, fa, all_499_3,
% 79.02/11.42 | | | simplifying with (176), (180) gives:
% 79.02/11.42 | | | (268) all_643_4 = all_641_0
% 79.02/11.42 | | |
% 79.02/11.42 | | | GROUND_INST: instantiating (39) with all_643_4, all_645_2, fa, all_499_3,
% 79.02/11.42 | | | simplifying with (180), (184) gives:
% 79.02/11.42 | | | (269) all_645_2 = all_643_4
% 79.02/11.42 | | |
% 79.02/11.42 | | | GROUND_INST: instantiating (39) with all_641_1, all_645_2, fa, all_499_3,
% 79.02/11.42 | | | simplifying with (175), (184) gives:
% 79.02/11.42 | | | (270) all_645_2 = all_641_1
% 79.02/11.42 | | |
% 79.02/11.42 | | | GROUND_INST: instantiating (39) with all_657_4, all_659_2, all_570_2,
% 79.02/11.42 | | | all_499_3, simplifying with (206), (213) gives:
% 79.02/11.42 | | | (271) all_659_2 = all_657_4
% 79.02/11.42 | | |
% 79.02/11.42 | | | COMBINE_EQS: (250), (253) imply:
% 79.02/11.42 | | | (272) all_655_4 = all_635_1
% 79.02/11.42 | | |
% 79.02/11.42 | | | COMBINE_EQS: (250), (252) imply:
% 79.02/11.42 | | | (273) all_655_4 = all_637_3
% 79.02/11.42 | | |
% 79.02/11.42 | | | COMBINE_EQS: (250), (251) imply:
% 79.02/11.42 | | | (274) all_655_4 = all_653_2
% 79.02/11.42 | | |
% 79.02/11.42 | | | COMBINE_EQS: (249), (250) imply:
% 79.02/11.42 | | | (275) all_655_0 = all_655_4
% 79.02/11.42 | | |
% 79.02/11.42 | | | SIMP: (275) implies:
% 79.02/11.42 | | | (276) all_655_0 = all_655_4
% 79.02/11.42 | | |
% 79.02/11.42 | | | COMBINE_EQS: (261), (262) imply:
% 79.02/11.42 | | | (277) all_659_3 = all_659_4
% 79.02/11.42 | | |
% 79.02/11.42 | | | COMBINE_EQS: (261), (263) imply:
% 79.02/11.42 | | | (278) all_659_3 = all_651_1
% 79.02/11.42 | | |
% 79.02/11.42 | | | COMBINE_EQS: (259), (260) imply:
% 79.02/11.42 | | | (279) all_657_1 = all_651_0
% 79.02/11.42 | | |
% 79.02/11.42 | | | SIMP: (279) implies:
% 79.02/11.42 | | | (280) all_657_1 = all_651_0
% 79.02/11.42 | | |
% 79.02/11.42 | | | COMBINE_EQS: (277), (278) imply:
% 79.02/11.42 | | | (281) all_659_4 = all_651_1
% 79.02/11.42 | | |
% 79.02/11.42 | | | SIMP: (281) implies:
% 79.02/11.42 | | | (282) all_659_4 = all_651_1
% 79.02/11.42 | | |
% 79.02/11.42 | | | COMBINE_EQS: (258), (282) imply:
% 79.02/11.42 | | | (283) all_657_1 = all_651_1
% 79.02/11.42 | | |
% 79.02/11.42 | | | SIMP: (283) implies:
% 79.02/11.42 | | | (284) all_657_1 = all_651_1
% 79.02/11.42 | | |
% 79.02/11.42 | | | COMBINE_EQS: (257), (282) imply:
% 79.02/11.42 | | | (285) all_657_0 = all_651_1
% 79.02/11.42 | | |
% 79.02/11.42 | | | SIMP: (285) implies:
% 79.02/11.42 | | | (286) all_657_0 = all_651_1
% 79.02/11.42 | | |
% 79.02/11.42 | | | COMBINE_EQS: (255), (256) imply:
% 79.02/11.42 | | | (287) all_645_4 = all_570_0
% 79.02/11.42 | | |
% 79.02/11.42 | | | COMBINE_EQS: (256), (286) imply:
% 79.02/11.42 | | | (288) all_651_1 = all_645_4
% 79.02/11.42 | | |
% 79.02/11.42 | | | SIMP: (288) implies:
% 79.02/11.42 | | | (289) all_651_1 = all_645_4
% 79.02/11.42 | | |
% 79.02/11.42 | | | COMBINE_EQS: (280), (284) imply:
% 79.02/11.42 | | | (290) all_651_0 = all_651_1
% 79.02/11.42 | | |
% 79.02/11.42 | | | COMBINE_EQS: (254), (280) imply:
% 79.02/11.42 | | | (291) all_651_0 = all_643_1
% 79.02/11.42 | | |
% 79.02/11.42 | | | COMBINE_EQS: (248), (276) imply:
% 79.02/11.42 | | | (292) all_655_4 = 0
% 79.02/11.42 | | |
% 79.02/11.42 | | | SIMP: (292) implies:
% 79.02/11.42 | | | (293) all_655_4 = 0
% 79.02/11.42 | | |
% 79.02/11.42 | | | COMBINE_EQS: (273), (274) imply:
% 79.02/11.42 | | | (294) all_653_2 = all_637_3
% 79.02/11.42 | | |
% 79.02/11.42 | | | COMBINE_EQS: (272), (274) imply:
% 79.02/11.42 | | | (295) all_653_2 = all_635_1
% 79.02/11.42 | | |
% 79.02/11.42 | | | COMBINE_EQS: (274), (293) imply:
% 79.02/11.42 | | | (296) all_653_2 = 0
% 79.02/11.42 | | |
% 79.02/11.42 | | | COMBINE_EQS: (294), (296) imply:
% 79.02/11.42 | | | (297) all_637_3 = 0
% 79.02/11.42 | | |
% 79.02/11.42 | | | COMBINE_EQS: (294), (295) imply:
% 79.02/11.42 | | | (298) all_637_3 = all_635_1
% 79.02/11.42 | | |
% 79.02/11.42 | | | COMBINE_EQS: (290), (291) imply:
% 79.02/11.42 | | | (299) all_651_1 = all_643_1
% 79.02/11.42 | | |
% 79.02/11.42 | | | SIMP: (299) implies:
% 79.02/11.42 | | | (300) all_651_1 = all_643_1
% 79.02/11.42 | | |
% 79.02/11.42 | | | COMBINE_EQS: (289), (300) imply:
% 79.02/11.42 | | | (301) all_645_4 = all_643_1
% 79.02/11.42 | | |
% 79.02/11.42 | | | SIMP: (301) implies:
% 79.02/11.42 | | | (302) all_645_4 = all_643_1
% 79.02/11.42 | | |
% 79.02/11.42 | | | COMBINE_EQS: (245), (246) imply:
% 79.02/11.42 | | | (303) all_641_2 = all_627_2
% 79.02/11.42 | | |
% 79.02/11.42 | | | COMBINE_EQS: (245), (247) imply:
% 79.02/11.42 | | | (304) all_641_2 = all_623_1
% 79.02/11.42 | | |
% 79.02/11.42 | | | COMBINE_EQS: (244), (245) imply:
% 79.02/11.42 | | | (305) all_647_4 = all_641_2
% 79.02/11.42 | | |
% 79.02/11.42 | | | SIMP: (305) implies:
% 79.02/11.42 | | | (306) all_647_4 = all_641_2
% 79.02/11.42 | | |
% 79.02/11.42 | | | COMBINE_EQS: (242), (243) imply:
% 79.02/11.42 | | | (307) all_647_4 = all_499_0
% 79.02/11.42 | | |
% 79.02/11.42 | | | SIMP: (307) implies:
% 79.02/11.42 | | | (308) all_647_4 = all_499_0
% 79.02/11.42 | | |
% 79.02/11.42 | | | COMBINE_EQS: (240), (241) imply:
% 79.02/11.42 | | | (309) all_647_4 = all_641_3
% 79.02/11.42 | | |
% 79.02/11.42 | | | SIMP: (309) implies:
% 79.02/11.42 | | | (310) all_647_4 = all_641_3
% 79.02/11.42 | | |
% 79.02/11.42 | | | COMBINE_EQS: (239), (310) imply:
% 79.02/11.42 | | | (311) all_641_3 = all_625_0
% 79.02/11.42 | | |
% 79.02/11.42 | | | COMBINE_EQS: (306), (310) imply:
% 79.02/11.42 | | | (312) all_641_2 = all_641_3
% 79.02/11.42 | | |
% 79.02/11.42 | | | SIMP: (312) implies:
% 79.02/11.42 | | | (313) all_641_2 = all_641_3
% 79.02/11.42 | | |
% 79.02/11.42 | | | COMBINE_EQS: (308), (310) imply:
% 79.02/11.42 | | | (314) all_641_3 = all_499_0
% 79.02/11.42 | | |
% 79.02/11.42 | | | COMBINE_EQS: (269), (270) imply:
% 79.02/11.42 | | | (315) all_643_4 = all_641_1
% 79.02/11.42 | | |
% 79.02/11.42 | | | SIMP: (315) implies:
% 79.02/11.42 | | | (316) all_643_4 = all_641_1
% 79.02/11.42 | | |
% 79.02/11.42 | | | COMBINE_EQS: (287), (302) imply:
% 79.02/11.42 | | | (317) all_643_1 = all_570_0
% 79.02/11.42 | | |
% 79.02/11.42 | | | COMBINE_EQS: (268), (316) imply:
% 79.02/11.42 | | | (318) all_641_0 = all_641_1
% 79.02/11.42 | | |
% 79.02/11.42 | | | SIMP: (318) implies:
% 79.02/11.42 | | | (319) all_641_0 = all_641_1
% 79.02/11.42 | | |
% 79.02/11.42 | | | COMBINE_EQS: (267), (319) imply:
% 79.02/11.42 | | | (320) all_641_1 = all_623_0
% 79.02/11.42 | | |
% 79.02/11.42 | | | COMBINE_EQS: (303), (313) imply:
% 79.02/11.43 | | | (321) all_641_3 = all_627_2
% 79.02/11.43 | | |
% 79.02/11.43 | | | SIMP: (321) implies:
% 79.02/11.43 | | | (322) all_641_3 = all_627_2
% 79.02/11.43 | | |
% 79.02/11.43 | | | COMBINE_EQS: (303), (304) imply:
% 79.02/11.43 | | | (323) all_627_2 = all_623_1
% 79.02/11.43 | | |
% 79.02/11.43 | | | COMBINE_EQS: (311), (322) imply:
% 79.02/11.43 | | | (324) all_627_2 = all_625_0
% 79.02/11.43 | | |
% 79.02/11.43 | | | SIMP: (324) implies:
% 79.02/11.43 | | | (325) all_627_2 = all_625_0
% 79.02/11.43 | | |
% 79.02/11.43 | | | COMBINE_EQS: (311), (314) imply:
% 79.02/11.43 | | | (326) all_625_0 = all_499_0
% 79.02/11.43 | | |
% 79.02/11.43 | | | COMBINE_EQS: (297), (298) imply:
% 79.02/11.43 | | | (327) all_635_1 = 0
% 79.02/11.43 | | |
% 79.02/11.43 | | | SIMP: (327) implies:
% 79.02/11.43 | | | (328) all_635_1 = 0
% 79.02/11.43 | | |
% 79.02/11.43 | | | COMBINE_EQS: (323), (325) imply:
% 79.02/11.43 | | | (329) all_625_0 = all_623_1
% 79.02/11.43 | | |
% 79.02/11.43 | | | SIMP: (329) implies:
% 79.02/11.43 | | | (330) all_625_0 = all_623_1
% 79.02/11.43 | | |
% 79.02/11.43 | | | COMBINE_EQS: (326), (330) imply:
% 79.02/11.43 | | | (331) all_623_1 = all_499_0
% 79.02/11.43 | | |
% 79.02/11.43 | | | SIMP: (331) implies:
% 79.02/11.43 | | | (332) all_623_1 = all_499_0
% 79.02/11.43 | | |
% 79.02/11.43 | | | COMBINE_EQS: (316), (320) imply:
% 79.02/11.43 | | | (333) all_643_4 = all_623_0
% 79.02/11.43 | | |
% 79.02/11.43 | | | COMBINE_EQS: (270), (320) imply:
% 79.02/11.43 | | | (334) all_645_2 = all_623_0
% 79.02/11.43 | | |
% 79.02/11.43 | | | COMBINE_EQS: (291), (317) imply:
% 79.02/11.43 | | | (335) all_651_0 = all_570_0
% 79.02/11.43 | | |
% 79.02/11.43 | | | COMBINE_EQS: (280), (335) imply:
% 79.02/11.43 | | | (336) all_657_1 = all_570_0
% 79.02/11.43 | | |
% 79.02/11.43 | | | REDUCE: (235), (266) imply:
% 79.02/11.43 | | | (337) hAPP_f355887345l_bool(all_572_0, all_570_2) = all_677_1
% 79.02/11.43 | | |
% 79.02/11.43 | | | REDUCE: (212), (271) imply:
% 79.02/11.43 | | | (338) hAPP_f355887345l_bool(all_509_1, all_657_4) = all_659_1
% 79.02/11.43 | | |
% 79.02/11.43 | | | REDUCE: (183), (334) imply:
% 79.02/11.43 | | | (339) hAPP_f355887345l_bool(all_509_1, all_623_0) = all_645_1
% 79.02/11.43 | | |
% 79.02/11.43 | | | REDUCE: (179), (333) imply:
% 79.02/11.43 | | | (340) hAPP_f355887345l_bool(all_509_1, all_623_0) = all_643_3
% 79.02/11.43 | | |
% 79.02/11.43 | | | REDUCE: (209), (271) imply:
% 79.02/11.43 | | | (341) fun_Ho734851753e_bool(all_657_4)
% 79.02/11.43 | | |
% 79.02/11.43 | | | REDUCE: (172), (320) imply:
% 79.02/11.43 | | | (342) fun_Ho734851753e_bool(all_623_0)
% 79.02/11.43 | | |
% 79.02/11.43 | | | BETA: splitting (143) gives:
% 79.02/11.43 | | |
% 79.02/11.43 | | | Case 1:
% 79.02/11.43 | | | |
% 79.46/11.43 | | | | (343) ? [v0: fun_pname_bool] : ? [v1: fun_fu1430349052l_bool] : ?
% 79.46/11.43 | | | | [v2: bool] : (image_1256224870_state(all_514_3, v0) = fa &
% 79.46/11.43 | | | | hAPP_f434788991l_bool(ord_le313189616e_bool, v0) = v1 &
% 79.46/11.43 | | | | hAPP_f1664156314l_bool(v1, all_485_1) = v2 & hBOOL(v2) = 0 &
% 79.46/11.43 | | | | fun_fu1430349052l_bool(v1) & fun_pname_bool(v0) & bool(v2))
% 79.46/11.43 | | | |
% 79.46/11.43 | | | | DELTA: instantiating (343) with fresh symbols all_693_0, all_693_1,
% 79.46/11.43 | | | | all_693_2 gives:
% 79.46/11.43 | | | | (344) image_1256224870_state(all_514_3, all_693_2) = fa &
% 79.46/11.43 | | | | hAPP_f434788991l_bool(ord_le313189616e_bool, all_693_2) =
% 79.46/11.43 | | | | all_693_1 & hAPP_f1664156314l_bool(all_693_1, all_485_1) =
% 79.46/11.43 | | | | all_693_0 & hBOOL(all_693_0) = 0 &
% 79.46/11.43 | | | | fun_fu1430349052l_bool(all_693_1) & fun_pname_bool(all_693_2) &
% 79.46/11.43 | | | | bool(all_693_0)
% 79.46/11.43 | | | |
% 79.46/11.43 | | | | ALPHA: (344) implies:
% 79.46/11.43 | | | | (345) fun_pname_bool(all_693_2)
% 79.46/11.43 | | | | (346) image_1256224870_state(all_514_3, all_693_2) = fa
% 79.46/11.43 | | | |
% 79.46/11.43 | | | | BETA: splitting (207) gives:
% 79.46/11.43 | | | |
% 79.46/11.43 | | | | Case 1:
% 79.46/11.43 | | | | |
% 79.46/11.43 | | | | | (347) ~ (all_657_2 = 0)
% 79.46/11.43 | | | | |
% 79.46/11.43 | | | | | GROUND_INST: instantiating (38) with all_643_3, all_645_1, all_623_0,
% 79.46/11.43 | | | | | all_509_1, simplifying with (339), (340) gives:
% 79.46/11.43 | | | | | (348) all_645_1 = all_643_3
% 79.46/11.43 | | | | |
% 79.46/11.43 | | | | | GROUND_INST: instantiating (38) with all_657_3, all_659_1, all_657_4,
% 79.46/11.43 | | | | | all_509_1, simplifying with (205), (338) gives:
% 79.46/11.43 | | | | | (349) all_659_1 = all_657_3
% 79.46/11.43 | | | | |
% 79.46/11.43 | | | | | GROUND_INST: instantiating (12) with fa, all_499_3,
% 79.46/11.43 | | | | | bot_bo454148287e_bool, all_499_2, all_621_1, all_499_1,
% 79.46/11.43 | | | | | simplifying with (29), (32), (54), (56), (121), (158)
% 79.46/11.43 | | | | | gives:
% 79.46/11.43 | | | | | (350) ? [v0: any] : ? [v1: fun_fu1783763359l_bool] : ? [v2:
% 79.46/11.43 | | | | | bool] : ? [v3: any] : ? [v4: any] :
% 79.46/11.43 | | | | | (hAPP_f15397171l_bool(ord_le1119700979e_bool,
% 79.46/11.43 | | | | | bot_bo454148287e_bool) = v1 & hAPP_f355887345l_bool(v1,
% 79.46/11.43 | | | | | fa) = v2 & hBOOL(v2) = v3 & hBOOL(all_621_1) = v0 &
% 79.46/11.43 | | | | | hBOOL(all_499_1) = v4 & fun_fu1783763359l_bool(v1) &
% 79.46/11.43 | | | | | bool(v2) & ( ~ (v3 = 0) | ~ (v0 = 0) | v4 = 0))
% 79.46/11.43 | | | | |
% 79.46/11.43 | | | | | GROUND_INST: instantiating (12) with bot_bo454148287e_bool, all_499_3,
% 79.46/11.43 | | | | | fa, all_499_2, all_499_1, all_621_1, simplifying with
% 79.46/11.43 | | | | | (29), (32), (54), (56), (121), (158) gives:
% 79.46/11.43 | | | | | (351) ? [v0: any] : ? [v1: fun_fu1783763359l_bool] : ? [v2:
% 79.46/11.43 | | | | | bool] : ? [v3: any] : ? [v4: any] :
% 79.46/11.43 | | | | | (hAPP_f15397171l_bool(ord_le1119700979e_bool, fa) = v1 &
% 79.46/11.43 | | | | | hAPP_f355887345l_bool(v1, bot_bo454148287e_bool) = v2 &
% 79.46/11.43 | | | | | hBOOL(v2) = v3 & hBOOL(all_621_1) = v4 & hBOOL(all_499_1) =
% 79.46/11.43 | | | | | v0 & fun_fu1783763359l_bool(v1) & bool(v2) & ( ~ (v3 = 0) |
% 79.46/11.43 | | | | | ~ (v0 = 0) | v4 = 0))
% 79.46/11.43 | | | | |
% 79.46/11.43 | | | | | GROUND_INST: instantiating (10) with fa, all_499_3,
% 79.46/11.43 | | | | | bot_bo454148287e_bool, all_499_2, all_621_1, all_499_1,
% 79.46/11.43 | | | | | simplifying with (29), (32), (54), (56), (121), (158)
% 79.46/11.43 | | | | | gives:
% 79.46/11.43 | | | | | (352) ? [v0: any] : ? [v1: any] : ? [v2: fun_Ho734851753e_bool]
% 79.46/11.43 | | | | | : ? [v3: fun_Ho734851753e_bool] :
% 79.46/11.43 | | | | | (insert668001005_state(all_499_3, fa) = v3 &
% 79.46/11.43 | | | | | insert668001005_state(all_499_3, bot_bo454148287e_bool) =
% 79.46/11.43 | | | | | v2 & hBOOL(all_621_1) = v0 & hBOOL(all_499_1) = v1 &
% 79.46/11.43 | | | | | fun_Ho734851753e_bool(v3) & fun_Ho734851753e_bool(v2) & (v1
% 79.46/11.43 | | | | | = 0 | v0 = 0 | (( ~ (v3 = v2) | fa =
% 79.46/11.43 | | | | | bot_bo454148287e_bool) & ( ~ (fa =
% 79.46/11.43 | | | | | bot_bo454148287e_bool) | v3 = v2))))
% 79.46/11.43 | | | | |
% 79.46/11.43 | | | | | GROUND_INST: instantiating (10) with bot_bo454148287e_bool, all_499_3,
% 79.46/11.43 | | | | | fa, all_499_2, all_499_1, all_621_1, simplifying with
% 79.46/11.43 | | | | | (29), (32), (54), (56), (121), (158) gives:
% 79.46/11.43 | | | | | (353) ? [v0: any] : ? [v1: any] : ? [v2: fun_Ho734851753e_bool]
% 79.46/11.43 | | | | | : ? [v3: fun_Ho734851753e_bool] :
% 79.46/11.43 | | | | | (insert668001005_state(all_499_3, fa) = v2 &
% 79.46/11.43 | | | | | insert668001005_state(all_499_3, bot_bo454148287e_bool) =
% 79.46/11.43 | | | | | v3 & hBOOL(all_621_1) = v1 & hBOOL(all_499_1) = v0 &
% 79.46/11.43 | | | | | fun_Ho734851753e_bool(v3) & fun_Ho734851753e_bool(v2) & (v1
% 79.46/11.43 | | | | | = 0 | v0 = 0 | (( ~ (v3 = v2) | fa =
% 79.46/11.43 | | | | | bot_bo454148287e_bool) & ( ~ (fa =
% 79.46/11.43 | | | | | bot_bo454148287e_bool) | v3 = v2))))
% 79.46/11.43 | | | | |
% 79.46/11.43 | | | | | GROUND_INST: instantiating (13) with all_499_3, fa,
% 79.46/11.43 | | | | | bot_bo454148287e_bool, all_499_2, all_499_1, all_621_1,
% 79.46/11.43 | | | | | simplifying with (29), (32), (54), (56), (121), (158)
% 79.46/11.43 | | | | | gives:
% 79.46/11.43 | | | | | (354) ? [v0: fun_fu1783763359l_bool] : ? [v1: bool] : ? [v2:
% 79.46/11.43 | | | | | any] : ? [v3: any] : ? [v4: any] :
% 79.46/11.43 | | | | | (hAPP_f15397171l_bool(ord_le1119700979e_bool, fa) = v0 &
% 79.46/11.43 | | | | | hAPP_f355887345l_bool(v0, bot_bo454148287e_bool) = v1 &
% 79.46/11.43 | | | | | hBOOL(v1) = v2 & hBOOL(all_621_1) = v4 & hBOOL(all_499_1) =
% 79.46/11.43 | | | | | v3 & fun_fu1783763359l_bool(v0) & bool(v1) & ( ~ (v3 = 0) |
% 79.46/11.43 | | | | | ~ (v2 = 0) | v4 = 0))
% 79.46/11.43 | | | | |
% 79.46/11.43 | | | | | GROUND_INST: instantiating (13) with all_499_3, bot_bo454148287e_bool,
% 79.46/11.43 | | | | | fa, all_499_2, all_621_1, all_499_1, simplifying with
% 79.46/11.43 | | | | | (29), (32), (54), (56), (121), (158) gives:
% 79.46/11.43 | | | | | (355) ? [v0: fun_fu1783763359l_bool] : ? [v1: bool] : ? [v2:
% 79.46/11.43 | | | | | any] : ? [v3: any] : ? [v4: any] :
% 79.46/11.43 | | | | | (hAPP_f15397171l_bool(ord_le1119700979e_bool,
% 79.46/11.43 | | | | | bot_bo454148287e_bool) = v0 & hAPP_f355887345l_bool(v0,
% 79.46/11.43 | | | | | fa) = v1 & hBOOL(v1) = v2 & hBOOL(all_621_1) = v3 &
% 79.46/11.43 | | | | | hBOOL(all_499_1) = v4 & fun_fu1783763359l_bool(v0) &
% 79.46/11.43 | | | | | bool(v1) & ( ~ (v3 = 0) | ~ (v2 = 0) | v4 = 0))
% 79.46/11.43 | | | | |
% 79.46/11.43 | | | | | GROUND_INST: instantiating (fact_4_cut) with all_509_2, all_570_2,
% 79.46/11.43 | | | | | bot_bo454148287e_bool, all_509_1, all_570_1, all_615_0,
% 79.46/11.43 | | | | | simplifying with (32), (60), (79), (124), (126), (154)
% 79.46/11.43 | | | | | gives:
% 79.46/11.43 | | | | | (356) ? [v0: fun_fu1783763359l_bool] : ? [v1: bool] : ? [v2:
% 79.46/11.43 | | | | | any] : ? [v3: any] : ? [v4: any] :
% 79.46/11.43 | | | | | (hoare_1193527299_state(all_570_2) = v0 &
% 79.46/11.43 | | | | | hAPP_f355887345l_bool(v0, bot_bo454148287e_bool) = v1 &
% 79.46/11.43 | | | | | hBOOL(v1) = v2 & hBOOL(all_615_0) = v4 & hBOOL(all_570_1) =
% 79.46/11.43 | | | | | v3 & fun_fu1783763359l_bool(v0) & bool(v1) & ( ~ (v3 = 0) |
% 79.46/11.43 | | | | | ~ (v2 = 0) | v4 = 0))
% 79.46/11.43 | | | | |
% 79.46/11.43 | | | | | GROUND_INST: instantiating (fact_4_cut) with all_509_2,
% 79.46/11.43 | | | | | bot_bo454148287e_bool, all_570_2, all_509_1, all_615_0,
% 79.46/11.43 | | | | | all_570_1, simplifying with (32), (60), (79), (124),
% 79.46/11.43 | | | | | (126), (154) gives:
% 79.46/11.43 | | | | | (357) ? [v0: fun_fu1783763359l_bool] : ? [v1: bool] : ? [v2:
% 79.46/11.43 | | | | | any] : ? [v3: any] : ? [v4: any] :
% 79.46/11.43 | | | | | (hoare_1193527299_state(bot_bo454148287e_bool) = v0 &
% 79.46/11.43 | | | | | hAPP_f355887345l_bool(v0, all_570_2) = v1 & hBOOL(v1) = v2
% 79.46/11.43 | | | | | & hBOOL(all_615_0) = v3 & hBOOL(all_570_1) = v4 &
% 79.46/11.43 | | | | | fun_fu1783763359l_bool(v0) & bool(v1) & ( ~ (v3 = 0) | ~
% 79.46/11.43 | | | | | (v2 = 0) | v4 = 0))
% 79.46/11.43 | | | | |
% 79.46/11.43 | | | | | GROUND_INST: instantiating (fact_4_cut) with all_509_2, fa,
% 79.46/11.43 | | | | | bot_bo454148287e_bool, all_509_1, all_509_0, all_615_0,
% 79.46/11.43 | | | | | simplifying with (29), (32), (59), (60), (124), (154)
% 79.46/11.43 | | | | | gives:
% 79.46/11.43 | | | | | (358) ? [v0: fun_fu1783763359l_bool] : ? [v1: bool] : ? [v2:
% 79.46/11.43 | | | | | any] : ? [v3: any] : ? [v4: any] :
% 79.46/11.43 | | | | | (hoare_1193527299_state(fa) = v0 & hAPP_f355887345l_bool(v0,
% 79.46/11.43 | | | | | bot_bo454148287e_bool) = v1 & hBOOL(v1) = v2 &
% 79.46/11.43 | | | | | hBOOL(all_615_0) = v4 & hBOOL(all_509_0) = v3 &
% 79.46/11.43 | | | | | fun_fu1783763359l_bool(v0) & bool(v1) & ( ~ (v3 = 0) | ~
% 79.46/11.43 | | | | | (v2 = 0) | v4 = 0))
% 79.46/11.43 | | | | |
% 79.46/11.43 | | | | | GROUND_INST: instantiating (fact_4_cut) with all_509_2,
% 79.46/11.43 | | | | | bot_bo454148287e_bool, fa, all_509_1, all_615_0,
% 79.46/11.43 | | | | | all_509_0, simplifying with (29), (32), (59), (60),
% 79.46/11.43 | | | | | (124), (154) gives:
% 79.46/11.43 | | | | | (359) ? [v0: fun_fu1783763359l_bool] : ? [v1: bool] : ? [v2:
% 79.46/11.43 | | | | | any] : ? [v3: any] : ? [v4: any] :
% 79.46/11.43 | | | | | (hoare_1193527299_state(bot_bo454148287e_bool) = v0 &
% 79.46/11.43 | | | | | hAPP_f355887345l_bool(v0, fa) = v1 & hBOOL(v1) = v2 &
% 79.46/11.43 | | | | | hBOOL(all_615_0) = v3 & hBOOL(all_509_0) = v4 &
% 79.46/11.43 | | | | | fun_fu1783763359l_bool(v0) & bool(v1) & ( ~ (v3 = 0) | ~
% 79.46/11.43 | | | | | (v2 = 0) | v4 = 0))
% 79.46/11.43 | | | | |
% 79.46/11.43 | | | | | GROUND_INST: instantiating (fact_4_cut) with all_509_2,
% 79.46/11.43 | | | | | bot_bo454148287e_bool, all_514_1, all_509_1, all_615_0,
% 79.46/11.43 | | | | | all_635_3, simplifying with (32), (60), (69), (124),
% 79.46/11.43 | | | | | (154), (168) gives:
% 79.46/11.43 | | | | | (360) ? [v0: fun_fu1783763359l_bool] : ? [v1: bool] : ? [v2:
% 79.46/11.43 | | | | | any] : ? [v3: any] : ? [v4: any] :
% 79.46/11.43 | | | | | (hoare_1193527299_state(bot_bo454148287e_bool) = v0 &
% 79.46/11.43 | | | | | hAPP_f355887345l_bool(v0, all_514_1) = v1 & hBOOL(v1) = v2
% 79.46/11.43 | | | | | & hBOOL(all_635_3) = v4 & hBOOL(all_615_0) = v3 &
% 79.46/11.43 | | | | | fun_fu1783763359l_bool(v0) & bool(v1) & ( ~ (v3 = 0) | ~
% 79.46/11.43 | | | | | (v2 = 0) | v4 = 0))
% 79.46/11.43 | | | | |
% 79.46/11.43 | | | | | GROUND_INST: instantiating (fact_4_cut) with all_509_2, all_514_1,
% 79.46/11.43 | | | | | bot_bo454148287e_bool, all_509_1, all_635_3, all_615_0,
% 79.46/11.43 | | | | | simplifying with (32), (60), (69), (124), (154), (168)
% 79.46/11.43 | | | | | gives:
% 79.46/11.43 | | | | | (361) ? [v0: fun_fu1783763359l_bool] : ? [v1: bool] : ? [v2:
% 79.46/11.43 | | | | | any] : ? [v3: any] : ? [v4: any] :
% 79.46/11.43 | | | | | (hoare_1193527299_state(all_514_1) = v0 &
% 79.46/11.43 | | | | | hAPP_f355887345l_bool(v0, bot_bo454148287e_bool) = v1 &
% 79.46/11.43 | | | | | hBOOL(v1) = v2 & hBOOL(all_635_3) = v3 & hBOOL(all_615_0) =
% 79.46/11.43 | | | | | v4 & fun_fu1783763359l_bool(v0) & bool(v1) & ( ~ (v3 = 0) |
% 79.46/11.43 | | | | | ~ (v2 = 0) | v4 = 0))
% 79.46/11.43 | | | | |
% 79.46/11.43 | | | | | GROUND_INST: instantiating (fact_4_cut) with all_509_2,
% 79.46/11.43 | | | | | bot_bo454148287e_bool, all_623_0, all_509_1, all_615_0,
% 79.46/11.43 | | | | | all_643_3, simplifying with (32), (60), (124), (154),
% 79.46/11.43 | | | | | (340), (342) gives:
% 79.46/11.43 | | | | | (362) ? [v0: fun_fu1783763359l_bool] : ? [v1: bool] : ? [v2:
% 79.46/11.43 | | | | | any] : ? [v3: any] : ? [v4: any] :
% 79.46/11.43 | | | | | (hoare_1193527299_state(bot_bo454148287e_bool) = v0 &
% 79.46/11.43 | | | | | hAPP_f355887345l_bool(v0, all_623_0) = v1 & hBOOL(v1) = v2
% 79.46/11.43 | | | | | & hBOOL(all_643_3) = v4 & hBOOL(all_615_0) = v3 &
% 79.46/11.43 | | | | | fun_fu1783763359l_bool(v0) & bool(v1) & ( ~ (v3 = 0) | ~
% 79.46/11.43 | | | | | (v2 = 0) | v4 = 0))
% 79.46/11.43 | | | | |
% 79.46/11.43 | | | | | GROUND_INST: instantiating (fact_4_cut) with all_509_2, all_623_0,
% 79.46/11.43 | | | | | bot_bo454148287e_bool, all_509_1, all_643_3, all_615_0,
% 79.46/11.43 | | | | | simplifying with (32), (60), (124), (154), (340), (342)
% 79.46/11.43 | | | | | gives:
% 79.46/11.44 | | | | | (363) ? [v0: fun_fu1783763359l_bool] : ? [v1: bool] : ? [v2:
% 79.46/11.44 | | | | | any] : ? [v3: any] : ? [v4: any] :
% 79.46/11.44 | | | | | (hoare_1193527299_state(all_623_0) = v0 &
% 79.46/11.44 | | | | | hAPP_f355887345l_bool(v0, bot_bo454148287e_bool) = v1 &
% 79.46/11.44 | | | | | hBOOL(v1) = v2 & hBOOL(all_643_3) = v3 & hBOOL(all_615_0) =
% 79.46/11.44 | | | | | v4 & fun_fu1783763359l_bool(v0) & bool(v1) & ( ~ (v3 = 0) |
% 79.46/11.44 | | | | | ~ (v2 = 0) | v4 = 0))
% 79.46/11.44 | | | | |
% 79.46/11.44 | | | | | GROUND_INST: instantiating (4) with all_657_4, all_509_2, all_499_3,
% 79.46/11.44 | | | | | all_509_1, all_570_2, all_570_1, all_657_3, simplifying
% 79.46/11.44 | | | | | with (60), (119), (121), (124), (126), (205), (341)
% 79.46/11.44 | | | | | gives:
% 79.46/11.44 | | | | | (364) ? [v0: any] : ? [v1: any] : ? [v2: fun_Ho734851753e_bool]
% 79.46/11.44 | | | | | : ? [v3: bool] : ? [v4: any] :
% 79.46/11.44 | | | | | (insert668001005_state(all_499_3, all_657_4) = v2 &
% 79.46/11.44 | | | | | hAPP_f355887345l_bool(all_509_1, v2) = v3 & hBOOL(v3) = v4
% 79.46/11.44 | | | | | & hBOOL(all_657_3) = v1 & hBOOL(all_570_1) = v0 &
% 79.46/11.44 | | | | | fun_Ho734851753e_bool(v2) & bool(v3) & ( ~ (v1 = 0) | ~
% 79.46/11.44 | | | | | (v0 = 0) | v4 = 0))
% 79.46/11.44 | | | | |
% 79.46/11.44 | | | | | GROUND_INST: instantiating (5) with all_509_2, all_499_3, all_657_4,
% 79.46/11.44 | | | | | all_509_1, all_570_2, all_570_1, all_657_3, simplifying
% 79.46/11.44 | | | | | with (60), (119), (121), (124), (126), (205), (341)
% 79.46/11.44 | | | | | gives:
% 79.46/11.44 | | | | | (365) ? [v0: fun_Ho734851753e_bool] : ? [v1: bool] : ? [v2: any]
% 79.46/11.44 | | | | | : ? [v3: any] : ? [v4: any] :
% 79.46/11.44 | | | | | (insert668001005_state(all_499_3, all_657_4) = v0 &
% 79.46/11.44 | | | | | hAPP_f355887345l_bool(all_509_1, v0) = v1 & hBOOL(v1) = v2
% 79.46/11.44 | | | | | & hBOOL(all_657_3) = v4 & hBOOL(all_570_1) = v3 &
% 79.46/11.44 | | | | | fun_Ho734851753e_bool(v0) & bool(v1) & ( ~ (v2 = 0) | (v4 =
% 79.46/11.44 | | | | | 0 & v3 = 0)))
% 79.46/11.44 | | | | |
% 79.46/11.44 | | | | | GROUND_INST: instantiating (fact_4_cut) with all_509_2, all_570_2,
% 79.46/11.44 | | | | | all_657_4, all_509_1, all_570_1, all_657_3, simplifying
% 79.46/11.44 | | | | | with (60), (79), (124), (126), (205), (341) gives:
% 79.46/11.44 | | | | | (366) ? [v0: fun_fu1783763359l_bool] : ? [v1: bool] : ? [v2:
% 79.46/11.44 | | | | | any] : ? [v3: any] : ? [v4: any] :
% 79.46/11.44 | | | | | (hoare_1193527299_state(all_570_2) = v0 &
% 79.46/11.44 | | | | | hAPP_f355887345l_bool(v0, all_657_4) = v1 & hBOOL(v1) = v2
% 79.46/11.44 | | | | | & hBOOL(all_657_3) = v4 & hBOOL(all_570_1) = v3 &
% 79.46/11.44 | | | | | fun_fu1783763359l_bool(v0) & bool(v1) & ( ~ (v3 = 0) | ~
% 79.46/11.44 | | | | | (v2 = 0) | v4 = 0))
% 79.46/11.44 | | | | |
% 79.46/11.44 | | | | | GROUND_INST: instantiating (fact_4_cut) with all_509_2, all_657_4,
% 79.46/11.44 | | | | | all_570_2, all_509_1, all_657_3, all_570_1, simplifying
% 79.46/11.44 | | | | | with (60), (79), (124), (126), (205), (341) gives:
% 79.46/11.44 | | | | | (367) ? [v0: fun_fu1783763359l_bool] : ? [v1: bool] : ? [v2:
% 79.46/11.44 | | | | | any] : ? [v3: any] : ? [v4: any] :
% 79.46/11.44 | | | | | (hoare_1193527299_state(all_657_4) = v0 &
% 79.46/11.44 | | | | | hAPP_f355887345l_bool(v0, all_570_2) = v1 & hBOOL(v1) = v2
% 79.46/11.44 | | | | | & hBOOL(all_657_3) = v3 & hBOOL(all_570_1) = v4 &
% 79.46/11.44 | | | | | fun_fu1783763359l_bool(v0) & bool(v1) & ( ~ (v3 = 0) | ~
% 79.46/11.44 | | | | | (v2 = 0) | v4 = 0))
% 79.46/11.44 | | | | |
% 79.46/11.44 | | | | | GROUND_INST: instantiating (fact_4_cut) with all_509_2, fa, all_657_4,
% 79.46/11.44 | | | | | all_509_1, all_509_0, all_657_3, simplifying with (29),
% 79.46/11.44 | | | | | (59), (60), (124), (205), (341) gives:
% 79.46/11.44 | | | | | (368) ? [v0: fun_fu1783763359l_bool] : ? [v1: bool] : ? [v2:
% 79.46/11.44 | | | | | any] : ? [v3: any] : ? [v4: any] :
% 79.46/11.44 | | | | | (hoare_1193527299_state(fa) = v0 & hAPP_f355887345l_bool(v0,
% 79.46/11.44 | | | | | all_657_4) = v1 & hBOOL(v1) = v2 & hBOOL(all_657_3) = v4
% 79.46/11.44 | | | | | & hBOOL(all_509_0) = v3 & fun_fu1783763359l_bool(v0) &
% 79.46/11.44 | | | | | bool(v1) & ( ~ (v3 = 0) | ~ (v2 = 0) | v4 = 0))
% 79.46/11.44 | | | | |
% 79.46/11.44 | | | | | GROUND_INST: instantiating (fact_4_cut) with all_509_2, all_657_4, fa,
% 79.46/11.44 | | | | | all_509_1, all_657_3, all_509_0, simplifying with (29),
% 79.46/11.44 | | | | | (59), (60), (124), (205), (341) gives:
% 79.46/11.44 | | | | | (369) ? [v0: fun_fu1783763359l_bool] : ? [v1: bool] : ? [v2:
% 79.46/11.44 | | | | | any] : ? [v3: any] : ? [v4: any] :
% 79.46/11.44 | | | | | (hoare_1193527299_state(all_657_4) = v0 &
% 79.46/11.44 | | | | | hAPP_f355887345l_bool(v0, fa) = v1 & hBOOL(v1) = v2 &
% 79.46/11.44 | | | | | hBOOL(all_657_3) = v3 & hBOOL(all_509_0) = v4 &
% 79.46/11.44 | | | | | fun_fu1783763359l_bool(v0) & bool(v1) & ( ~ (v3 = 0) | ~
% 79.46/11.44 | | | | | (v2 = 0) | v4 = 0))
% 79.46/11.44 | | | | |
% 79.46/11.44 | | | | | GROUND_INST: instantiating (fact_4_cut) with all_509_2, all_657_4,
% 79.46/11.44 | | | | | all_657_4, all_509_1, all_657_3, all_657_3, simplifying
% 79.46/11.44 | | | | | with (60), (124), (205), (341) gives:
% 79.46/11.44 | | | | | (370) ? [v0: fun_fu1783763359l_bool] : ? [v1: bool] : ? [v2:
% 79.46/11.44 | | | | | any] : ? [v3: any] : ? [v4: any] :
% 79.46/11.44 | | | | | (hoare_1193527299_state(all_657_4) = v0 &
% 79.46/11.44 | | | | | hAPP_f355887345l_bool(v0, all_657_4) = v1 & hBOOL(v1) = v2
% 79.46/11.44 | | | | | & hBOOL(all_657_3) = v4 & hBOOL(all_657_3) = v3 &
% 79.46/11.44 | | | | | fun_fu1783763359l_bool(v0) & bool(v1) & ( ~ (v3 = 0) | ~
% 79.46/11.44 | | | | | (v2 = 0) | v4 = 0))
% 79.46/11.44 | | | | |
% 79.46/11.44 | | | | | GROUND_INST: instantiating (fact_4_cut) with all_509_2, all_623_0,
% 79.46/11.44 | | | | | all_657_4, all_509_1, all_643_3, all_657_3, simplifying
% 79.46/11.44 | | | | | with (60), (124), (205), (340), (341), (342) gives:
% 79.46/11.44 | | | | | (371) ? [v0: fun_fu1783763359l_bool] : ? [v1: bool] : ? [v2:
% 79.46/11.44 | | | | | any] : ? [v3: any] : ? [v4: any] :
% 79.46/11.44 | | | | | (hoare_1193527299_state(all_623_0) = v0 &
% 79.46/11.44 | | | | | hAPP_f355887345l_bool(v0, all_657_4) = v1 & hBOOL(v1) = v2
% 79.46/11.44 | | | | | & hBOOL(all_657_3) = v4 & hBOOL(all_643_3) = v3 &
% 79.46/11.44 | | | | | fun_fu1783763359l_bool(v0) & bool(v1) & ( ~ (v3 = 0) | ~
% 79.46/11.44 | | | | | (v2 = 0) | v4 = 0))
% 79.46/11.44 | | | | |
% 79.46/11.44 | | | | | GROUND_INST: instantiating (fact_4_cut) with all_509_2, all_657_4,
% 79.46/11.44 | | | | | all_623_0, all_509_1, all_657_3, all_643_3, simplifying
% 79.46/11.44 | | | | | with (60), (124), (205), (340), (341), (342) gives:
% 79.46/11.44 | | | | | (372) ? [v0: fun_fu1783763359l_bool] : ? [v1: bool] : ? [v2:
% 79.46/11.44 | | | | | any] : ? [v3: any] : ? [v4: any] :
% 79.46/11.44 | | | | | (hoare_1193527299_state(all_657_4) = v0 &
% 79.46/11.44 | | | | | hAPP_f355887345l_bool(v0, all_623_0) = v1 & hBOOL(v1) = v2
% 79.46/11.44 | | | | | & hBOOL(all_657_3) = v3 & hBOOL(all_643_3) = v4 &
% 79.46/11.44 | | | | | fun_fu1783763359l_bool(v0) & bool(v1) & ( ~ (v3 = 0) | ~
% 79.46/11.44 | | | | | (v2 = 0) | v4 = 0))
% 79.46/11.44 | | | | |
% 79.46/11.44 | | | | | GROUND_INST: instantiating (fact_4_cut) with all_509_2, all_514_1,
% 79.46/11.44 | | | | | all_657_4, all_509_1, all_635_3, all_657_3, simplifying
% 79.46/11.44 | | | | | with (60), (69), (124), (168), (205), (341) gives:
% 79.46/11.44 | | | | | (373) ? [v0: fun_fu1783763359l_bool] : ? [v1: bool] : ? [v2:
% 79.46/11.44 | | | | | any] : ? [v3: any] : ? [v4: any] :
% 79.46/11.44 | | | | | (hoare_1193527299_state(all_514_1) = v0 &
% 79.46/11.44 | | | | | hAPP_f355887345l_bool(v0, all_657_4) = v1 & hBOOL(v1) = v2
% 79.46/11.44 | | | | | & hBOOL(all_657_3) = v4 & hBOOL(all_635_3) = v3 &
% 79.46/11.44 | | | | | fun_fu1783763359l_bool(v0) & bool(v1) & ( ~ (v3 = 0) | ~
% 79.46/11.44 | | | | | (v2 = 0) | v4 = 0))
% 79.46/11.44 | | | | |
% 79.46/11.44 | | | | | GROUND_INST: instantiating (fact_4_cut) with all_509_2, all_657_4,
% 79.46/11.44 | | | | | all_514_1, all_509_1, all_657_3, all_635_3, simplifying
% 79.46/11.44 | | | | | with (60), (69), (124), (168), (205), (341) gives:
% 79.46/11.44 | | | | | (374) ? [v0: fun_fu1783763359l_bool] : ? [v1: bool] : ? [v2:
% 79.46/11.44 | | | | | any] : ? [v3: any] : ? [v4: any] :
% 79.46/11.44 | | | | | (hoare_1193527299_state(all_657_4) = v0 &
% 79.46/11.44 | | | | | hAPP_f355887345l_bool(v0, all_514_1) = v1 & hBOOL(v1) = v2
% 79.46/11.44 | | | | | & hBOOL(all_657_3) = v3 & hBOOL(all_635_3) = v4 &
% 79.46/11.44 | | | | | fun_fu1783763359l_bool(v0) & bool(v1) & ( ~ (v3 = 0) | ~
% 79.46/11.44 | | | | | (v2 = 0) | v4 = 0))
% 79.46/11.44 | | | | |
% 79.46/11.44 | | | | | GROUND_INST: instantiating (fact_4_cut) with all_509_2,
% 79.46/11.44 | | | | | bot_bo454148287e_bool, all_657_4, all_509_1, all_615_0,
% 79.46/11.44 | | | | | all_657_3, simplifying with (32), (60), (124), (154),
% 79.46/11.44 | | | | | (205), (341) gives:
% 79.46/11.44 | | | | | (375) ? [v0: fun_fu1783763359l_bool] : ? [v1: bool] : ? [v2:
% 79.46/11.44 | | | | | any] : ? [v3: any] : ? [v4: any] :
% 79.46/11.44 | | | | | (hoare_1193527299_state(bot_bo454148287e_bool) = v0 &
% 79.46/11.44 | | | | | hAPP_f355887345l_bool(v0, all_657_4) = v1 & hBOOL(v1) = v2
% 79.46/11.44 | | | | | & hBOOL(all_657_3) = v4 & hBOOL(all_615_0) = v3 &
% 79.46/11.44 | | | | | fun_fu1783763359l_bool(v0) & bool(v1) & ( ~ (v3 = 0) | ~
% 79.46/11.44 | | | | | (v2 = 0) | v4 = 0))
% 79.46/11.44 | | | | |
% 79.46/11.44 | | | | | GROUND_INST: instantiating (fact_4_cut) with all_509_2, all_657_4,
% 79.46/11.44 | | | | | bot_bo454148287e_bool, all_509_1, all_657_3, all_615_0,
% 79.46/11.44 | | | | | simplifying with (32), (60), (124), (154), (205), (341)
% 79.46/11.44 | | | | | gives:
% 79.46/11.44 | | | | | (376) ? [v0: fun_fu1783763359l_bool] : ? [v1: bool] : ? [v2:
% 79.46/11.44 | | | | | any] : ? [v3: any] : ? [v4: any] :
% 79.46/11.44 | | | | | (hoare_1193527299_state(all_657_4) = v0 &
% 79.46/11.44 | | | | | hAPP_f355887345l_bool(v0, bot_bo454148287e_bool) = v1 &
% 79.46/11.44 | | | | | hBOOL(v1) = v2 & hBOOL(all_657_3) = v3 & hBOOL(all_615_0) =
% 79.46/11.44 | | | | | v4 & fun_fu1783763359l_bool(v0) & bool(v1) & ( ~ (v3 = 0) |
% 79.46/11.44 | | | | | ~ (v2 = 0) | v4 = 0))
% 79.46/11.44 | | | | |
% 79.46/11.44 | | | | | GROUND_INST: instantiating (4) with all_570_2, bot_bo454148287e_bool,
% 79.46/11.44 | | | | | all_499_3, all_572_0, all_570_2, all_677_1, all_677_1,
% 79.46/11.44 | | | | | simplifying with (32), (79), (91), (119), (121), (337)
% 79.46/11.44 | | | | | gives:
% 79.46/11.44 | | | | | (377) ? [v0: any] : ? [v1: any] : ? [v2: fun_Ho734851753e_bool]
% 79.46/11.44 | | | | | : ? [v3: bool] : ? [v4: any] :
% 79.46/11.44 | | | | | (insert668001005_state(all_499_3, all_570_2) = v2 &
% 79.46/11.44 | | | | | hAPP_f355887345l_bool(all_572_0, v2) = v3 & hBOOL(v3) = v4
% 79.46/11.44 | | | | | & hBOOL(all_677_1) = v1 & hBOOL(all_677_1) = v0 &
% 79.46/11.44 | | | | | fun_Ho734851753e_bool(v2) & bool(v3) & ( ~ (v1 = 0) | ~
% 79.46/11.44 | | | | | (v0 = 0) | v4 = 0))
% 79.46/11.44 | | | | |
% 79.46/11.44 | | | | | GROUND_INST: instantiating (5) with bot_bo454148287e_bool, all_499_3,
% 79.46/11.44 | | | | | all_570_2, all_572_0, all_570_2, all_677_1, all_677_1,
% 79.46/11.44 | | | | | simplifying with (32), (79), (91), (119), (121), (337)
% 79.46/11.44 | | | | | gives:
% 79.46/11.44 | | | | | (378) ? [v0: fun_Ho734851753e_bool] : ? [v1: bool] : ? [v2: any]
% 79.46/11.44 | | | | | : ? [v3: any] : ? [v4: any] :
% 79.46/11.44 | | | | | (insert668001005_state(all_499_3, all_570_2) = v0 &
% 79.46/11.44 | | | | | hAPP_f355887345l_bool(all_572_0, v0) = v1 & hBOOL(v1) = v2
% 79.46/11.44 | | | | | & hBOOL(all_677_1) = v4 & hBOOL(all_677_1) = v3 &
% 79.46/11.44 | | | | | fun_Ho734851753e_bool(v0) & bool(v1) & ( ~ (v2 = 0) | (v4 =
% 79.46/11.44 | | | | | 0 & v3 = 0)))
% 79.46/11.44 | | | | |
% 79.46/11.44 | | | | | GROUND_INST: instantiating (fact_4_cut) with bot_bo454148287e_bool,
% 79.46/11.44 | | | | | all_570_2, all_570_2, all_572_0, all_677_1, all_677_1,
% 79.46/11.44 | | | | | simplifying with (32), (79), (91), (337) gives:
% 79.46/11.44 | | | | | (379) ? [v0: fun_fu1783763359l_bool] : ? [v1: bool] : ? [v2:
% 79.46/11.44 | | | | | any] : ? [v3: any] : ? [v4: any] :
% 79.46/11.44 | | | | | (hoare_1193527299_state(all_570_2) = v0 &
% 79.46/11.44 | | | | | hAPP_f355887345l_bool(v0, all_570_2) = v1 & hBOOL(v1) = v2
% 79.46/11.44 | | | | | & hBOOL(all_677_1) = v4 & hBOOL(all_677_1) = v3 &
% 79.46/11.44 | | | | | fun_fu1783763359l_bool(v0) & bool(v1) & ( ~ (v3 = 0) | ~
% 79.46/11.44 | | | | | (v2 = 0) | v4 = 0))
% 79.46/11.44 | | | | |
% 79.46/11.44 | | | | | GROUND_INST: instantiating (fact_4_cut) with bot_bo454148287e_bool,
% 79.46/11.44 | | | | | all_570_2, bot_bo454148287e_bool, all_572_0, all_677_1,
% 79.46/11.44 | | | | | all_617_0, simplifying with (32), (79), (91), (156),
% 79.46/11.44 | | | | | (337) gives:
% 79.46/11.44 | | | | | (380) ? [v0: fun_fu1783763359l_bool] : ? [v1: bool] : ? [v2:
% 79.46/11.44 | | | | | any] : ? [v3: any] : ? [v4: any] :
% 79.46/11.44 | | | | | (hoare_1193527299_state(all_570_2) = v0 &
% 79.46/11.44 | | | | | hAPP_f355887345l_bool(v0, bot_bo454148287e_bool) = v1 &
% 79.46/11.44 | | | | | hBOOL(v1) = v2 & hBOOL(all_677_1) = v3 & hBOOL(all_617_0) =
% 79.46/11.44 | | | | | v4 & fun_fu1783763359l_bool(v0) & bool(v1) & ( ~ (v3 = 0) |
% 79.46/11.44 | | | | | ~ (v2 = 0) | v4 = 0))
% 79.46/11.44 | | | | |
% 79.46/11.44 | | | | | GROUND_INST: instantiating (4) with all_570_2, fa, all_499_3,
% 79.46/11.44 | | | | | all_663_4, all_570_2, all_663_3, all_663_3, simplifying
% 79.46/11.44 | | | | | with (29), (79), (119), (121), (219), (220) gives:
% 79.46/11.44 | | | | | (381) ? [v0: any] : ? [v1: any] : ? [v2: fun_Ho734851753e_bool]
% 79.46/11.44 | | | | | : ? [v3: bool] : ? [v4: any] :
% 79.46/11.44 | | | | | (insert668001005_state(all_499_3, all_570_2) = v2 &
% 79.46/11.44 | | | | | hAPP_f355887345l_bool(all_663_4, v2) = v3 & hBOOL(v3) = v4
% 79.46/11.44 | | | | | & hBOOL(all_663_3) = v1 & hBOOL(all_663_3) = v0 &
% 79.46/11.44 | | | | | fun_Ho734851753e_bool(v2) & bool(v3) & ( ~ (v1 = 0) | ~
% 79.46/11.44 | | | | | (v0 = 0) | v4 = 0))
% 79.46/11.44 | | | | |
% 79.46/11.44 | | | | | GROUND_INST: instantiating (5) with fa, all_499_3, all_570_2,
% 79.46/11.44 | | | | | all_663_4, all_570_2, all_663_3, all_663_3, simplifying
% 79.46/11.44 | | | | | with (29), (79), (119), (121), (219), (220) gives:
% 79.46/11.44 | | | | | (382) ? [v0: fun_Ho734851753e_bool] : ? [v1: bool] : ? [v2: any]
% 79.46/11.44 | | | | | : ? [v3: any] : ? [v4: any] :
% 79.46/11.44 | | | | | (insert668001005_state(all_499_3, all_570_2) = v0 &
% 79.46/11.44 | | | | | hAPP_f355887345l_bool(all_663_4, v0) = v1 & hBOOL(v1) = v2
% 79.46/11.44 | | | | | & hBOOL(all_663_3) = v4 & hBOOL(all_663_3) = v3 &
% 79.46/11.44 | | | | | fun_Ho734851753e_bool(v0) & bool(v1) & ( ~ (v2 = 0) | (v4 =
% 79.46/11.44 | | | | | 0 & v3 = 0)))
% 79.46/11.44 | | | | |
% 79.46/11.44 | | | | | GROUND_INST: instantiating (4) with all_570_2, all_570_2, all_499_3,
% 79.46/11.44 | | | | | all_651_4, all_570_2, all_651_3, all_651_3, simplifying
% 79.46/11.44 | | | | | with (79), (119), (121), (194), (195) gives:
% 79.46/11.44 | | | | | (383) ? [v0: any] : ? [v1: any] : ? [v2: fun_Ho734851753e_bool]
% 79.46/11.44 | | | | | : ? [v3: bool] : ? [v4: any] :
% 79.46/11.44 | | | | | (insert668001005_state(all_499_3, all_570_2) = v2 &
% 79.46/11.44 | | | | | hAPP_f355887345l_bool(all_651_4, v2) = v3 & hBOOL(v3) = v4
% 79.46/11.44 | | | | | & hBOOL(all_651_3) = v1 & hBOOL(all_651_3) = v0 &
% 79.46/11.44 | | | | | fun_Ho734851753e_bool(v2) & bool(v3) & ( ~ (v1 = 0) | ~
% 79.46/11.44 | | | | | (v0 = 0) | v4 = 0))
% 79.46/11.44 | | | | |
% 79.46/11.44 | | | | | GROUND_INST: instantiating (5) with all_570_2, all_499_3, all_570_2,
% 79.46/11.44 | | | | | all_651_4, all_570_2, all_651_3, all_651_3, simplifying
% 79.46/11.44 | | | | | with (79), (119), (121), (194), (195) gives:
% 79.46/11.44 | | | | | (384) ? [v0: fun_Ho734851753e_bool] : ? [v1: bool] : ? [v2: any]
% 79.46/11.44 | | | | | : ? [v3: any] : ? [v4: any] :
% 79.46/11.44 | | | | | (insert668001005_state(all_499_3, all_570_2) = v0 &
% 79.46/11.44 | | | | | hAPP_f355887345l_bool(all_651_4, v0) = v1 & hBOOL(v1) = v2
% 79.46/11.44 | | | | | & hBOOL(all_651_3) = v4 & hBOOL(all_651_3) = v3 &
% 79.46/11.44 | | | | | fun_Ho734851753e_bool(v0) & bool(v1) & ( ~ (v2 = 0) | (v4 =
% 79.46/11.44 | | | | | 0 & v3 = 0)))
% 79.46/11.44 | | | | |
% 79.46/11.44 | | | | | GROUND_INST: instantiating (fact_181_insert__absorb2) with all_499_3,
% 79.46/11.44 | | | | | bot_bo454148287e_bool, all_570_2, all_657_4, simplifying
% 79.46/11.44 | | | | | with (32), (119), (121), (206) gives:
% 79.46/11.44 | | | | | (385) all_657_4 = all_570_2
% 79.46/11.44 | | | | |
% 79.46/11.44 | | | | | GROUND_INST: instantiating (14) with all_499_3, all_514_3, all_693_2,
% 79.46/11.44 | | | | | all_499_2, fa, all_499_1, simplifying with (54), (56),
% 79.46/11.44 | | | | | (68), (121), (345), (346) gives:
% 79.46/11.44 | | | | | (386) hBOOL(all_499_1) = 0 | ! [v0: pname] : ! [v1:
% 79.46/11.44 | | | | | fun_fu1430349052l_bool] : ! [v2: bool] : ( ~
% 79.46/11.44 | | | | | (hAPP_p338031245l_bool(member_pname, v0) = v1) | ~
% 79.46/11.44 | | | | | (hAPP_f1664156314l_bool(v1, all_693_2) = v2) | ~ pname(v0)
% 79.46/11.44 | | | | | | ? [v3: any] : ? [v4: hoare_1848483303_state] :
% 79.46/11.44 | | | | | (hAPP_p675228438_state(all_514_3, v0) = v4 & hBOOL(v2) = v3
% 79.46/11.44 | | | | | & hoare_1848483303_state(v4) & ( ~ (v4 = all_499_3) | ~
% 79.46/11.44 | | | | | (v3 = 0))))
% 79.46/11.44 | | | | |
% 79.46/11.44 | | | | | GROUND_INST: instantiating (66) with pn, y, all_459_0, all_677_4,
% 79.46/11.44 | | | | | simplifying with (27), (31), (47), (237) gives:
% 79.46/11.45 | | | | | (387) ~ (all_511_0 = 0) | ? [v0: option_com] : ? [v1: any] :
% 79.46/11.45 | | | | | (some_com(y) = v0 & hBOOL(all_677_4) = v1 & option_com(v0) &
% 79.46/11.45 | | | | | ( ~ (v0 = all_459_0) | v1 = 0))
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | DELTA: instantiating (374) with fresh symbols all_831_0, all_831_1,
% 79.46/11.45 | | | | | all_831_2, all_831_3, all_831_4 gives:
% 79.46/11.45 | | | | | (388) hoare_1193527299_state(all_657_4) = all_831_4 &
% 79.46/11.45 | | | | | hAPP_f355887345l_bool(all_831_4, all_514_1) = all_831_3 &
% 79.46/11.45 | | | | | hBOOL(all_831_3) = all_831_2 & hBOOL(all_657_3) = all_831_1 &
% 79.46/11.45 | | | | | hBOOL(all_635_3) = all_831_0 &
% 79.46/11.45 | | | | | fun_fu1783763359l_bool(all_831_4) & bool(all_831_3) & ( ~
% 79.46/11.45 | | | | | (all_831_1 = 0) | ~ (all_831_2 = 0) | all_831_0 = 0)
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | ALPHA: (388) implies:
% 79.46/11.45 | | | | | (389) hBOOL(all_657_3) = all_831_1
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | DELTA: instantiating (373) with fresh symbols all_833_0, all_833_1,
% 79.46/11.45 | | | | | all_833_2, all_833_3, all_833_4 gives:
% 79.46/11.45 | | | | | (390) hoare_1193527299_state(all_514_1) = all_833_4 &
% 79.46/11.45 | | | | | hAPP_f355887345l_bool(all_833_4, all_657_4) = all_833_3 &
% 79.46/11.45 | | | | | hBOOL(all_833_3) = all_833_2 & hBOOL(all_657_3) = all_833_0 &
% 79.46/11.45 | | | | | hBOOL(all_635_3) = all_833_1 &
% 79.46/11.45 | | | | | fun_fu1783763359l_bool(all_833_4) & bool(all_833_3) & ( ~
% 79.46/11.45 | | | | | (all_833_1 = 0) | ~ (all_833_2 = 0) | all_833_0 = 0)
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | ALPHA: (390) implies:
% 79.46/11.45 | | | | | (391) hBOOL(all_657_3) = all_833_0
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | DELTA: instantiating (362) with fresh symbols all_835_0, all_835_1,
% 79.46/11.45 | | | | | all_835_2, all_835_3, all_835_4 gives:
% 79.46/11.45 | | | | | (392) hoare_1193527299_state(bot_bo454148287e_bool) = all_835_4 &
% 79.46/11.45 | | | | | hAPP_f355887345l_bool(all_835_4, all_623_0) = all_835_3 &
% 79.46/11.45 | | | | | hBOOL(all_835_3) = all_835_2 & hBOOL(all_643_3) = all_835_0 &
% 79.46/11.45 | | | | | hBOOL(all_615_0) = all_835_1 &
% 79.46/11.45 | | | | | fun_fu1783763359l_bool(all_835_4) & bool(all_835_3) & ( ~
% 79.46/11.45 | | | | | (all_835_1 = 0) | ~ (all_835_2 = 0) | all_835_0 = 0)
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | ALPHA: (392) implies:
% 79.46/11.45 | | | | | (393) hBOOL(all_615_0) = all_835_1
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | DELTA: instantiating (378) with fresh symbols all_839_0, all_839_1,
% 79.46/11.45 | | | | | all_839_2, all_839_3, all_839_4 gives:
% 79.46/11.45 | | | | | (394) insert668001005_state(all_499_3, all_570_2) = all_839_4 &
% 79.46/11.45 | | | | | hAPP_f355887345l_bool(all_572_0, all_839_4) = all_839_3 &
% 79.46/11.45 | | | | | hBOOL(all_839_3) = all_839_2 & hBOOL(all_677_1) = all_839_0 &
% 79.46/11.45 | | | | | hBOOL(all_677_1) = all_839_1 &
% 79.46/11.45 | | | | | fun_Ho734851753e_bool(all_839_4) & bool(all_839_3) & ( ~
% 79.46/11.45 | | | | | (all_839_2 = 0) | (all_839_0 = 0 & all_839_1 = 0))
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | ALPHA: (394) implies:
% 79.46/11.45 | | | | | (395) hBOOL(all_677_1) = all_839_1
% 79.46/11.45 | | | | | (396) hBOOL(all_677_1) = all_839_0
% 79.46/11.45 | | | | | (397) hAPP_f355887345l_bool(all_572_0, all_839_4) = all_839_3
% 79.46/11.45 | | | | | (398) insert668001005_state(all_499_3, all_570_2) = all_839_4
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | DELTA: instantiating (377) with fresh symbols all_841_0, all_841_1,
% 79.46/11.45 | | | | | all_841_2, all_841_3, all_841_4 gives:
% 79.46/11.45 | | | | | (399) insert668001005_state(all_499_3, all_570_2) = all_841_2 &
% 79.46/11.45 | | | | | hAPP_f355887345l_bool(all_572_0, all_841_2) = all_841_1 &
% 79.46/11.45 | | | | | hBOOL(all_841_1) = all_841_0 & hBOOL(all_677_1) = all_841_3 &
% 79.46/11.45 | | | | | hBOOL(all_677_1) = all_841_4 &
% 79.46/11.45 | | | | | fun_Ho734851753e_bool(all_841_2) & bool(all_841_1) & ( ~
% 79.46/11.45 | | | | | (all_841_3 = 0) | ~ (all_841_4 = 0) | all_841_0 = 0)
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | ALPHA: (399) implies:
% 79.46/11.45 | | | | | (400) hBOOL(all_677_1) = all_841_4
% 79.46/11.45 | | | | | (401) hBOOL(all_677_1) = all_841_3
% 79.46/11.45 | | | | | (402) hBOOL(all_841_1) = all_841_0
% 79.46/11.45 | | | | | (403) hAPP_f355887345l_bool(all_572_0, all_841_2) = all_841_1
% 79.46/11.45 | | | | | (404) insert668001005_state(all_499_3, all_570_2) = all_841_2
% 79.46/11.45 | | | | | (405) ~ (all_841_3 = 0) | ~ (all_841_4 = 0) | all_841_0 = 0
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | DELTA: instantiating (361) with fresh symbols all_863_0, all_863_1,
% 79.46/11.45 | | | | | all_863_2, all_863_3, all_863_4 gives:
% 79.46/11.45 | | | | | (406) hoare_1193527299_state(all_514_1) = all_863_4 &
% 79.46/11.45 | | | | | hAPP_f355887345l_bool(all_863_4, bot_bo454148287e_bool) =
% 79.46/11.45 | | | | | all_863_3 & hBOOL(all_863_3) = all_863_2 & hBOOL(all_635_3) =
% 79.46/11.45 | | | | | all_863_1 & hBOOL(all_615_0) = all_863_0 &
% 79.46/11.45 | | | | | fun_fu1783763359l_bool(all_863_4) & bool(all_863_3) & ( ~
% 79.46/11.45 | | | | | (all_863_1 = 0) | ~ (all_863_2 = 0) | all_863_0 = 0)
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | ALPHA: (406) implies:
% 79.46/11.45 | | | | | (407) hBOOL(all_615_0) = all_863_0
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | DELTA: instantiating (383) with fresh symbols all_865_0, all_865_1,
% 79.46/11.45 | | | | | all_865_2, all_865_3, all_865_4 gives:
% 79.46/11.45 | | | | | (408) insert668001005_state(all_499_3, all_570_2) = all_865_2 &
% 79.46/11.45 | | | | | hAPP_f355887345l_bool(all_651_4, all_865_2) = all_865_1 &
% 79.46/11.45 | | | | | hBOOL(all_865_1) = all_865_0 & hBOOL(all_651_3) = all_865_3 &
% 79.46/11.45 | | | | | hBOOL(all_651_3) = all_865_4 &
% 79.46/11.45 | | | | | fun_Ho734851753e_bool(all_865_2) & bool(all_865_1) & ( ~
% 79.46/11.45 | | | | | (all_865_3 = 0) | ~ (all_865_4 = 0) | all_865_0 = 0)
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | ALPHA: (408) implies:
% 79.46/11.45 | | | | | (409) insert668001005_state(all_499_3, all_570_2) = all_865_2
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | DELTA: instantiating (372) with fresh symbols all_875_0, all_875_1,
% 79.46/11.45 | | | | | all_875_2, all_875_3, all_875_4 gives:
% 79.46/11.45 | | | | | (410) hoare_1193527299_state(all_657_4) = all_875_4 &
% 79.46/11.45 | | | | | hAPP_f355887345l_bool(all_875_4, all_623_0) = all_875_3 &
% 79.46/11.45 | | | | | hBOOL(all_875_3) = all_875_2 & hBOOL(all_657_3) = all_875_1 &
% 79.46/11.45 | | | | | hBOOL(all_643_3) = all_875_0 &
% 79.46/11.45 | | | | | fun_fu1783763359l_bool(all_875_4) & bool(all_875_3) & ( ~
% 79.46/11.45 | | | | | (all_875_1 = 0) | ~ (all_875_2 = 0) | all_875_0 = 0)
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | ALPHA: (410) implies:
% 79.46/11.45 | | | | | (411) hBOOL(all_657_3) = all_875_1
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | DELTA: instantiating (371) with fresh symbols all_877_0, all_877_1,
% 79.46/11.45 | | | | | all_877_2, all_877_3, all_877_4 gives:
% 79.46/11.45 | | | | | (412) hoare_1193527299_state(all_623_0) = all_877_4 &
% 79.46/11.45 | | | | | hAPP_f355887345l_bool(all_877_4, all_657_4) = all_877_3 &
% 79.46/11.45 | | | | | hBOOL(all_877_3) = all_877_2 & hBOOL(all_657_3) = all_877_0 &
% 79.46/11.45 | | | | | hBOOL(all_643_3) = all_877_1 &
% 79.46/11.45 | | | | | fun_fu1783763359l_bool(all_877_4) & bool(all_877_3) & ( ~
% 79.46/11.45 | | | | | (all_877_1 = 0) | ~ (all_877_2 = 0) | all_877_0 = 0)
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | ALPHA: (412) implies:
% 79.46/11.45 | | | | | (413) hBOOL(all_657_3) = all_877_0
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | DELTA: instantiating (356) with fresh symbols all_889_0, all_889_1,
% 79.46/11.45 | | | | | all_889_2, all_889_3, all_889_4 gives:
% 79.46/11.45 | | | | | (414) hoare_1193527299_state(all_570_2) = all_889_4 &
% 79.46/11.45 | | | | | hAPP_f355887345l_bool(all_889_4, bot_bo454148287e_bool) =
% 79.46/11.45 | | | | | all_889_3 & hBOOL(all_889_3) = all_889_2 & hBOOL(all_615_0) =
% 79.46/11.45 | | | | | all_889_0 & hBOOL(all_570_1) = all_889_1 &
% 79.46/11.45 | | | | | fun_fu1783763359l_bool(all_889_4) & bool(all_889_3) & ( ~
% 79.46/11.45 | | | | | (all_889_1 = 0) | ~ (all_889_2 = 0) | all_889_0 = 0)
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | ALPHA: (414) implies:
% 79.46/11.45 | | | | | (415) hBOOL(all_615_0) = all_889_0
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | DELTA: instantiating (360) with fresh symbols all_891_0, all_891_1,
% 79.46/11.45 | | | | | all_891_2, all_891_3, all_891_4 gives:
% 79.46/11.45 | | | | | (416) hoare_1193527299_state(bot_bo454148287e_bool) = all_891_4 &
% 79.46/11.45 | | | | | hAPP_f355887345l_bool(all_891_4, all_514_1) = all_891_3 &
% 79.46/11.45 | | | | | hBOOL(all_891_3) = all_891_2 & hBOOL(all_635_3) = all_891_0 &
% 79.46/11.45 | | | | | hBOOL(all_615_0) = all_891_1 &
% 79.46/11.45 | | | | | fun_fu1783763359l_bool(all_891_4) & bool(all_891_3) & ( ~
% 79.46/11.45 | | | | | (all_891_1 = 0) | ~ (all_891_2 = 0) | all_891_0 = 0)
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | ALPHA: (416) implies:
% 79.46/11.45 | | | | | (417) hBOOL(all_615_0) = all_891_1
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | DELTA: instantiating (359) with fresh symbols all_915_0, all_915_1,
% 79.46/11.45 | | | | | all_915_2, all_915_3, all_915_4 gives:
% 79.46/11.45 | | | | | (418) hoare_1193527299_state(bot_bo454148287e_bool) = all_915_4 &
% 79.46/11.45 | | | | | hAPP_f355887345l_bool(all_915_4, fa) = all_915_3 &
% 79.46/11.45 | | | | | hBOOL(all_915_3) = all_915_2 & hBOOL(all_615_0) = all_915_1 &
% 79.46/11.45 | | | | | hBOOL(all_509_0) = all_915_0 &
% 79.46/11.45 | | | | | fun_fu1783763359l_bool(all_915_4) & bool(all_915_3) & ( ~
% 79.46/11.45 | | | | | (all_915_1 = 0) | ~ (all_915_2 = 0) | all_915_0 = 0)
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | ALPHA: (418) implies:
% 79.46/11.45 | | | | | (419) hBOOL(all_615_0) = all_915_1
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | DELTA: instantiating (384) with fresh symbols all_917_0, all_917_1,
% 79.46/11.45 | | | | | all_917_2, all_917_3, all_917_4 gives:
% 79.46/11.45 | | | | | (420) insert668001005_state(all_499_3, all_570_2) = all_917_4 &
% 79.46/11.45 | | | | | hAPP_f355887345l_bool(all_651_4, all_917_4) = all_917_3 &
% 79.46/11.45 | | | | | hBOOL(all_917_3) = all_917_2 & hBOOL(all_651_3) = all_917_0 &
% 79.46/11.45 | | | | | hBOOL(all_651_3) = all_917_1 &
% 79.46/11.45 | | | | | fun_Ho734851753e_bool(all_917_4) & bool(all_917_3) & ( ~
% 79.46/11.45 | | | | | (all_917_2 = 0) | (all_917_0 = 0 & all_917_1 = 0))
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | ALPHA: (420) implies:
% 79.46/11.45 | | | | | (421) insert668001005_state(all_499_3, all_570_2) = all_917_4
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | DELTA: instantiating (382) with fresh symbols all_929_0, all_929_1,
% 79.46/11.45 | | | | | all_929_2, all_929_3, all_929_4 gives:
% 79.46/11.45 | | | | | (422) insert668001005_state(all_499_3, all_570_2) = all_929_4 &
% 79.46/11.45 | | | | | hAPP_f355887345l_bool(all_663_4, all_929_4) = all_929_3 &
% 79.46/11.45 | | | | | hBOOL(all_929_3) = all_929_2 & hBOOL(all_663_3) = all_929_0 &
% 79.46/11.45 | | | | | hBOOL(all_663_3) = all_929_1 &
% 79.46/11.45 | | | | | fun_Ho734851753e_bool(all_929_4) & bool(all_929_3) & ( ~
% 79.46/11.45 | | | | | (all_929_2 = 0) | (all_929_0 = 0 & all_929_1 = 0))
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | ALPHA: (422) implies:
% 79.46/11.45 | | | | | (423) insert668001005_state(all_499_3, all_570_2) = all_929_4
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | DELTA: instantiating (381) with fresh symbols all_931_0, all_931_1,
% 79.46/11.45 | | | | | all_931_2, all_931_3, all_931_4 gives:
% 79.46/11.45 | | | | | (424) insert668001005_state(all_499_3, all_570_2) = all_931_2 &
% 79.46/11.45 | | | | | hAPP_f355887345l_bool(all_663_4, all_931_2) = all_931_1 &
% 79.46/11.45 | | | | | hBOOL(all_931_1) = all_931_0 & hBOOL(all_663_3) = all_931_3 &
% 79.46/11.45 | | | | | hBOOL(all_663_3) = all_931_4 &
% 79.46/11.45 | | | | | fun_Ho734851753e_bool(all_931_2) & bool(all_931_1) & ( ~
% 79.46/11.45 | | | | | (all_931_3 = 0) | ~ (all_931_4 = 0) | all_931_0 = 0)
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | ALPHA: (424) implies:
% 79.46/11.45 | | | | | (425) insert668001005_state(all_499_3, all_570_2) = all_931_2
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | DELTA: instantiating (380) with fresh symbols all_939_0, all_939_1,
% 79.46/11.45 | | | | | all_939_2, all_939_3, all_939_4 gives:
% 79.46/11.45 | | | | | (426) hoare_1193527299_state(all_570_2) = all_939_4 &
% 79.46/11.45 | | | | | hAPP_f355887345l_bool(all_939_4, bot_bo454148287e_bool) =
% 79.46/11.45 | | | | | all_939_3 & hBOOL(all_939_3) = all_939_2 & hBOOL(all_677_1) =
% 79.46/11.45 | | | | | all_939_1 & hBOOL(all_617_0) = all_939_0 &
% 79.46/11.45 | | | | | fun_fu1783763359l_bool(all_939_4) & bool(all_939_3) & ( ~
% 79.46/11.45 | | | | | (all_939_1 = 0) | ~ (all_939_2 = 0) | all_939_0 = 0)
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | ALPHA: (426) implies:
% 79.46/11.45 | | | | | (427) hBOOL(all_677_1) = all_939_1
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | DELTA: instantiating (376) with fresh symbols all_943_0, all_943_1,
% 79.46/11.45 | | | | | all_943_2, all_943_3, all_943_4 gives:
% 79.46/11.45 | | | | | (428) hoare_1193527299_state(all_657_4) = all_943_4 &
% 79.46/11.45 | | | | | hAPP_f355887345l_bool(all_943_4, bot_bo454148287e_bool) =
% 79.46/11.45 | | | | | all_943_3 & hBOOL(all_943_3) = all_943_2 & hBOOL(all_657_3) =
% 79.46/11.45 | | | | | all_943_1 & hBOOL(all_615_0) = all_943_0 &
% 79.46/11.45 | | | | | fun_fu1783763359l_bool(all_943_4) & bool(all_943_3) & ( ~
% 79.46/11.45 | | | | | (all_943_1 = 0) | ~ (all_943_2 = 0) | all_943_0 = 0)
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | ALPHA: (428) implies:
% 79.46/11.45 | | | | | (429) hBOOL(all_615_0) = all_943_0
% 79.46/11.45 | | | | | (430) hBOOL(all_657_3) = all_943_1
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | DELTA: instantiating (375) with fresh symbols all_945_0, all_945_1,
% 79.46/11.45 | | | | | all_945_2, all_945_3, all_945_4 gives:
% 79.46/11.45 | | | | | (431) hoare_1193527299_state(bot_bo454148287e_bool) = all_945_4 &
% 79.46/11.45 | | | | | hAPP_f355887345l_bool(all_945_4, all_657_4) = all_945_3 &
% 79.46/11.45 | | | | | hBOOL(all_945_3) = all_945_2 & hBOOL(all_657_3) = all_945_0 &
% 79.46/11.45 | | | | | hBOOL(all_615_0) = all_945_1 &
% 79.46/11.45 | | | | | fun_fu1783763359l_bool(all_945_4) & bool(all_945_3) & ( ~
% 79.46/11.45 | | | | | (all_945_1 = 0) | ~ (all_945_2 = 0) | all_945_0 = 0)
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | ALPHA: (431) implies:
% 79.46/11.45 | | | | | (432) hBOOL(all_615_0) = all_945_1
% 79.46/11.45 | | | | | (433) hBOOL(all_657_3) = all_945_0
% 79.46/11.45 | | | | | (434) hBOOL(all_945_3) = all_945_2
% 79.46/11.45 | | | | | (435) hAPP_f355887345l_bool(all_945_4, all_657_4) = all_945_3
% 79.46/11.45 | | | | | (436) hoare_1193527299_state(bot_bo454148287e_bool) = all_945_4
% 79.46/11.45 | | | | | (437) ~ (all_945_1 = 0) | ~ (all_945_2 = 0) | all_945_0 = 0
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | DELTA: instantiating (355) with fresh symbols all_947_0, all_947_1,
% 79.46/11.45 | | | | | all_947_2, all_947_3, all_947_4 gives:
% 79.46/11.45 | | | | | (438) hAPP_f15397171l_bool(ord_le1119700979e_bool,
% 79.46/11.45 | | | | | bot_bo454148287e_bool) = all_947_4 &
% 79.46/11.45 | | | | | hAPP_f355887345l_bool(all_947_4, fa) = all_947_3 &
% 79.46/11.45 | | | | | hBOOL(all_947_3) = all_947_2 & hBOOL(all_621_1) = all_947_1 &
% 79.46/11.45 | | | | | hBOOL(all_499_1) = all_947_0 &
% 79.46/11.45 | | | | | fun_fu1783763359l_bool(all_947_4) & bool(all_947_3) & ( ~
% 79.46/11.45 | | | | | (all_947_1 = 0) | ~ (all_947_2 = 0) | all_947_0 = 0)
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | ALPHA: (438) implies:
% 79.46/11.45 | | | | | (439) hBOOL(all_499_1) = all_947_0
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | DELTA: instantiating (370) with fresh symbols all_949_0, all_949_1,
% 79.46/11.45 | | | | | all_949_2, all_949_3, all_949_4 gives:
% 79.46/11.45 | | | | | (440) hoare_1193527299_state(all_657_4) = all_949_4 &
% 79.46/11.45 | | | | | hAPP_f355887345l_bool(all_949_4, all_657_4) = all_949_3 &
% 79.46/11.45 | | | | | hBOOL(all_949_3) = all_949_2 & hBOOL(all_657_3) = all_949_0 &
% 79.46/11.45 | | | | | hBOOL(all_657_3) = all_949_1 &
% 79.46/11.45 | | | | | fun_fu1783763359l_bool(all_949_4) & bool(all_949_3) & ( ~
% 79.46/11.45 | | | | | (all_949_1 = 0) | ~ (all_949_2 = 0) | all_949_0 = 0)
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | ALPHA: (440) implies:
% 79.46/11.45 | | | | | (441) hBOOL(all_657_3) = all_949_1
% 79.46/11.45 | | | | | (442) hBOOL(all_657_3) = all_949_0
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | DELTA: instantiating (368) with fresh symbols all_951_0, all_951_1,
% 79.46/11.45 | | | | | all_951_2, all_951_3, all_951_4 gives:
% 79.46/11.45 | | | | | (443) hoare_1193527299_state(fa) = all_951_4 &
% 79.46/11.45 | | | | | hAPP_f355887345l_bool(all_951_4, all_657_4) = all_951_3 &
% 79.46/11.45 | | | | | hBOOL(all_951_3) = all_951_2 & hBOOL(all_657_3) = all_951_0 &
% 79.46/11.45 | | | | | hBOOL(all_509_0) = all_951_1 &
% 79.46/11.45 | | | | | fun_fu1783763359l_bool(all_951_4) & bool(all_951_3) & ( ~
% 79.46/11.45 | | | | | (all_951_1 = 0) | ~ (all_951_2 = 0) | all_951_0 = 0)
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | ALPHA: (443) implies:
% 79.46/11.45 | | | | | (444) hBOOL(all_657_3) = all_951_0
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | DELTA: instantiating (351) with fresh symbols all_953_0, all_953_1,
% 79.46/11.45 | | | | | all_953_2, all_953_3, all_953_4 gives:
% 79.46/11.45 | | | | | (445) hAPP_f15397171l_bool(ord_le1119700979e_bool, fa) = all_953_3
% 79.46/11.45 | | | | | & hAPP_f355887345l_bool(all_953_3, bot_bo454148287e_bool) =
% 79.46/11.45 | | | | | all_953_2 & hBOOL(all_953_2) = all_953_1 & hBOOL(all_621_1) =
% 79.46/11.45 | | | | | all_953_0 & hBOOL(all_499_1) = all_953_4 &
% 79.46/11.45 | | | | | fun_fu1783763359l_bool(all_953_3) & bool(all_953_2) & ( ~
% 79.46/11.45 | | | | | (all_953_1 = 0) | ~ (all_953_4 = 0) | all_953_0 = 0)
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | ALPHA: (445) implies:
% 79.46/11.45 | | | | | (446) hBOOL(all_499_1) = all_953_4
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | DELTA: instantiating (350) with fresh symbols all_955_0, all_955_1,
% 79.46/11.45 | | | | | all_955_2, all_955_3, all_955_4 gives:
% 79.46/11.45 | | | | | (447) hAPP_f15397171l_bool(ord_le1119700979e_bool,
% 79.46/11.45 | | | | | bot_bo454148287e_bool) = all_955_3 &
% 79.46/11.45 | | | | | hAPP_f355887345l_bool(all_955_3, fa) = all_955_2 &
% 79.46/11.45 | | | | | hBOOL(all_955_2) = all_955_1 & hBOOL(all_621_1) = all_955_4 &
% 79.46/11.45 | | | | | hBOOL(all_499_1) = all_955_0 &
% 79.46/11.45 | | | | | fun_fu1783763359l_bool(all_955_3) & bool(all_955_2) & ( ~
% 79.46/11.45 | | | | | (all_955_1 = 0) | ~ (all_955_4 = 0) | all_955_0 = 0)
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | ALPHA: (447) implies:
% 79.46/11.45 | | | | | (448) hBOOL(all_499_1) = all_955_0
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | DELTA: instantiating (367) with fresh symbols all_957_0, all_957_1,
% 79.46/11.45 | | | | | all_957_2, all_957_3, all_957_4 gives:
% 79.46/11.45 | | | | | (449) hoare_1193527299_state(all_657_4) = all_957_4 &
% 79.46/11.45 | | | | | hAPP_f355887345l_bool(all_957_4, all_570_2) = all_957_3 &
% 79.46/11.45 | | | | | hBOOL(all_957_3) = all_957_2 & hBOOL(all_657_3) = all_957_1 &
% 79.46/11.45 | | | | | hBOOL(all_570_1) = all_957_0 &
% 79.46/11.45 | | | | | fun_fu1783763359l_bool(all_957_4) & bool(all_957_3) & ( ~
% 79.46/11.45 | | | | | (all_957_1 = 0) | ~ (all_957_2 = 0) | all_957_0 = 0)
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | ALPHA: (449) implies:
% 79.46/11.45 | | | | | (450) hBOOL(all_657_3) = all_957_1
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | DELTA: instantiating (369) with fresh symbols all_959_0, all_959_1,
% 79.46/11.45 | | | | | all_959_2, all_959_3, all_959_4 gives:
% 79.46/11.45 | | | | | (451) hoare_1193527299_state(all_657_4) = all_959_4 &
% 79.46/11.45 | | | | | hAPP_f355887345l_bool(all_959_4, fa) = all_959_3 &
% 79.46/11.45 | | | | | hBOOL(all_959_3) = all_959_2 & hBOOL(all_657_3) = all_959_1 &
% 79.46/11.45 | | | | | hBOOL(all_509_0) = all_959_0 &
% 79.46/11.45 | | | | | fun_fu1783763359l_bool(all_959_4) & bool(all_959_3) & ( ~
% 79.46/11.45 | | | | | (all_959_1 = 0) | ~ (all_959_2 = 0) | all_959_0 = 0)
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | ALPHA: (451) implies:
% 79.46/11.45 | | | | | (452) hBOOL(all_657_3) = all_959_1
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | DELTA: instantiating (358) with fresh symbols all_965_0, all_965_1,
% 79.46/11.45 | | | | | all_965_2, all_965_3, all_965_4 gives:
% 79.46/11.45 | | | | | (453) hoare_1193527299_state(fa) = all_965_4 &
% 79.46/11.45 | | | | | hAPP_f355887345l_bool(all_965_4, bot_bo454148287e_bool) =
% 79.46/11.45 | | | | | all_965_3 & hBOOL(all_965_3) = all_965_2 & hBOOL(all_615_0) =
% 79.46/11.45 | | | | | all_965_0 & hBOOL(all_509_0) = all_965_1 &
% 79.46/11.45 | | | | | fun_fu1783763359l_bool(all_965_4) & bool(all_965_3) & ( ~
% 79.46/11.45 | | | | | (all_965_1 = 0) | ~ (all_965_2 = 0) | all_965_0 = 0)
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | ALPHA: (453) implies:
% 79.46/11.45 | | | | | (454) hBOOL(all_615_0) = all_965_0
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | DELTA: instantiating (354) with fresh symbols all_967_0, all_967_1,
% 79.46/11.45 | | | | | all_967_2, all_967_3, all_967_4 gives:
% 79.46/11.45 | | | | | (455) hAPP_f15397171l_bool(ord_le1119700979e_bool, fa) = all_967_4
% 79.46/11.45 | | | | | & hAPP_f355887345l_bool(all_967_4, bot_bo454148287e_bool) =
% 79.46/11.45 | | | | | all_967_3 & hBOOL(all_967_3) = all_967_2 & hBOOL(all_621_1) =
% 79.46/11.45 | | | | | all_967_0 & hBOOL(all_499_1) = all_967_1 &
% 79.46/11.45 | | | | | fun_fu1783763359l_bool(all_967_4) & bool(all_967_3) & ( ~
% 79.46/11.45 | | | | | (all_967_1 = 0) | ~ (all_967_2 = 0) | all_967_0 = 0)
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | ALPHA: (455) implies:
% 79.46/11.45 | | | | | (456) hBOOL(all_499_1) = all_967_1
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | DELTA: instantiating (357) with fresh symbols all_969_0, all_969_1,
% 79.46/11.45 | | | | | all_969_2, all_969_3, all_969_4 gives:
% 79.46/11.45 | | | | | (457) hoare_1193527299_state(bot_bo454148287e_bool) = all_969_4 &
% 79.46/11.45 | | | | | hAPP_f355887345l_bool(all_969_4, all_570_2) = all_969_3 &
% 79.46/11.45 | | | | | hBOOL(all_969_3) = all_969_2 & hBOOL(all_615_0) = all_969_1 &
% 79.46/11.45 | | | | | hBOOL(all_570_1) = all_969_0 &
% 79.46/11.45 | | | | | fun_fu1783763359l_bool(all_969_4) & bool(all_969_3) & ( ~
% 79.46/11.45 | | | | | (all_969_1 = 0) | ~ (all_969_2 = 0) | all_969_0 = 0)
% 79.46/11.45 | | | | |
% 79.46/11.45 | | | | | ALPHA: (457) implies:
% 79.46/11.45 | | | | | (458) hBOOL(all_615_0) = all_969_1
% 79.46/11.45 | | | | | (459) hAPP_f355887345l_bool(all_969_4, all_570_2) = all_969_3
% 79.46/11.45 | | | | | (460) hoare_1193527299_state(bot_bo454148287e_bool) = all_969_4
% 79.46/11.45 | | | | |
% 79.46/11.46 | | | | | DELTA: instantiating (366) with fresh symbols all_971_0, all_971_1,
% 79.46/11.46 | | | | | all_971_2, all_971_3, all_971_4 gives:
% 79.46/11.46 | | | | | (461) hoare_1193527299_state(all_570_2) = all_971_4 &
% 79.46/11.46 | | | | | hAPP_f355887345l_bool(all_971_4, all_657_4) = all_971_3 &
% 79.46/11.46 | | | | | hBOOL(all_971_3) = all_971_2 & hBOOL(all_657_3) = all_971_0 &
% 79.46/11.46 | | | | | hBOOL(all_570_1) = all_971_1 &
% 79.46/11.46 | | | | | fun_fu1783763359l_bool(all_971_4) & bool(all_971_3) & ( ~
% 79.46/11.46 | | | | | (all_971_1 = 0) | ~ (all_971_2 = 0) | all_971_0 = 0)
% 79.46/11.46 | | | | |
% 79.46/11.46 | | | | | ALPHA: (461) implies:
% 79.46/11.46 | | | | | (462) hBOOL(all_657_3) = all_971_0
% 79.46/11.46 | | | | |
% 79.46/11.46 | | | | | DELTA: instantiating (365) with fresh symbols all_973_0, all_973_1,
% 79.46/11.46 | | | | | all_973_2, all_973_3, all_973_4 gives:
% 79.46/11.46 | | | | | (463) insert668001005_state(all_499_3, all_657_4) = all_973_4 &
% 79.46/11.46 | | | | | hAPP_f355887345l_bool(all_509_1, all_973_4) = all_973_3 &
% 79.46/11.46 | | | | | hBOOL(all_973_3) = all_973_2 & hBOOL(all_657_3) = all_973_0 &
% 79.46/11.46 | | | | | hBOOL(all_570_1) = all_973_1 &
% 79.46/11.46 | | | | | fun_Ho734851753e_bool(all_973_4) & bool(all_973_3) & ( ~
% 79.46/11.46 | | | | | (all_973_2 = 0) | (all_973_0 = 0 & all_973_1 = 0))
% 79.46/11.46 | | | | |
% 79.46/11.46 | | | | | ALPHA: (463) implies:
% 79.46/11.46 | | | | | (464) hBOOL(all_657_3) = all_973_0
% 79.46/11.46 | | | | | (465) insert668001005_state(all_499_3, all_657_4) = all_973_4
% 79.46/11.46 | | | | |
% 79.46/11.46 | | | | | DELTA: instantiating (379) with fresh symbols all_975_0, all_975_1,
% 79.46/11.46 | | | | | all_975_2, all_975_3, all_975_4 gives:
% 79.46/11.46 | | | | | (466) hoare_1193527299_state(all_570_2) = all_975_4 &
% 79.46/11.46 | | | | | hAPP_f355887345l_bool(all_975_4, all_570_2) = all_975_3 &
% 79.46/11.46 | | | | | hBOOL(all_975_3) = all_975_2 & hBOOL(all_677_1) = all_975_0 &
% 79.46/11.46 | | | | | hBOOL(all_677_1) = all_975_1 &
% 79.46/11.46 | | | | | fun_fu1783763359l_bool(all_975_4) & bool(all_975_3) & ( ~
% 79.46/11.46 | | | | | (all_975_1 = 0) | ~ (all_975_2 = 0) | all_975_0 = 0)
% 79.46/11.46 | | | | |
% 79.46/11.46 | | | | | ALPHA: (466) implies:
% 79.46/11.46 | | | | | (467) hBOOL(all_677_1) = all_975_1
% 79.46/11.46 | | | | | (468) hBOOL(all_677_1) = all_975_0
% 79.46/11.46 | | | | |
% 79.46/11.46 | | | | | DELTA: instantiating (364) with fresh symbols all_985_0, all_985_1,
% 79.46/11.46 | | | | | all_985_2, all_985_3, all_985_4 gives:
% 79.46/11.46 | | | | | (469) insert668001005_state(all_499_3, all_657_4) = all_985_2 &
% 79.46/11.46 | | | | | hAPP_f355887345l_bool(all_509_1, all_985_2) = all_985_1 &
% 79.46/11.46 | | | | | hBOOL(all_985_1) = all_985_0 & hBOOL(all_657_3) = all_985_3 &
% 79.46/11.46 | | | | | hBOOL(all_570_1) = all_985_4 &
% 79.46/11.46 | | | | | fun_Ho734851753e_bool(all_985_2) & bool(all_985_1) & ( ~
% 79.46/11.46 | | | | | (all_985_3 = 0) | ~ (all_985_4 = 0) | all_985_0 = 0)
% 79.46/11.46 | | | | |
% 79.46/11.46 | | | | | ALPHA: (469) implies:
% 79.46/11.46 | | | | | (470) hBOOL(all_657_3) = all_985_3
% 79.46/11.46 | | | | | (471) insert668001005_state(all_499_3, all_657_4) = all_985_2
% 79.46/11.46 | | | | |
% 79.46/11.46 | | | | | DELTA: instantiating (363) with fresh symbols all_987_0, all_987_1,
% 79.46/11.46 | | | | | all_987_2, all_987_3, all_987_4 gives:
% 79.46/11.46 | | | | | (472) hoare_1193527299_state(all_623_0) = all_987_4 &
% 79.46/11.46 | | | | | hAPP_f355887345l_bool(all_987_4, bot_bo454148287e_bool) =
% 79.46/11.46 | | | | | all_987_3 & hBOOL(all_987_3) = all_987_2 & hBOOL(all_643_3) =
% 79.46/11.46 | | | | | all_987_1 & hBOOL(all_615_0) = all_987_0 &
% 79.46/11.46 | | | | | fun_fu1783763359l_bool(all_987_4) & bool(all_987_3) & ( ~
% 79.46/11.46 | | | | | (all_987_1 = 0) | ~ (all_987_2 = 0) | all_987_0 = 0)
% 79.46/11.46 | | | | |
% 79.46/11.46 | | | | | ALPHA: (472) implies:
% 79.46/11.46 | | | | | (473) hBOOL(all_615_0) = all_987_0
% 79.46/11.46 | | | | |
% 79.46/11.46 | | | | | DELTA: instantiating (353) with fresh symbols all_989_0, all_989_1,
% 79.46/11.46 | | | | | all_989_2, all_989_3 gives:
% 79.46/11.46 | | | | | (474) insert668001005_state(all_499_3, fa) = all_989_1 &
% 79.46/11.46 | | | | | insert668001005_state(all_499_3, bot_bo454148287e_bool) =
% 79.46/11.46 | | | | | all_989_0 & hBOOL(all_621_1) = all_989_2 & hBOOL(all_499_1) =
% 79.46/11.46 | | | | | all_989_3 & fun_Ho734851753e_bool(all_989_0) &
% 79.46/11.46 | | | | | fun_Ho734851753e_bool(all_989_1) & (all_989_2 = 0 | all_989_3
% 79.46/11.46 | | | | | = 0 | (( ~ (all_989_0 = all_989_1) | fa =
% 79.46/11.46 | | | | | bot_bo454148287e_bool) & ( ~ (fa =
% 79.46/11.46 | | | | | bot_bo454148287e_bool) | all_989_0 = all_989_1)))
% 79.46/11.46 | | | | |
% 79.46/11.46 | | | | | ALPHA: (474) implies:
% 79.46/11.46 | | | | | (475) hBOOL(all_499_1) = all_989_3
% 79.46/11.46 | | | | |
% 79.46/11.46 | | | | | DELTA: instantiating (352) with fresh symbols all_991_0, all_991_1,
% 79.46/11.46 | | | | | all_991_2, all_991_3 gives:
% 79.46/11.46 | | | | | (476) insert668001005_state(all_499_3, fa) = all_991_0 &
% 79.46/11.46 | | | | | insert668001005_state(all_499_3, bot_bo454148287e_bool) =
% 79.46/11.46 | | | | | all_991_1 & hBOOL(all_621_1) = all_991_3 & hBOOL(all_499_1) =
% 79.46/11.46 | | | | | all_991_2 & fun_Ho734851753e_bool(all_991_0) &
% 79.46/11.46 | | | | | fun_Ho734851753e_bool(all_991_1) & (all_991_2 = 0 | all_991_3
% 79.46/11.46 | | | | | = 0 | (( ~ (all_991_0 = all_991_1) | fa =
% 79.46/11.46 | | | | | bot_bo454148287e_bool) & ( ~ (fa =
% 79.46/11.46 | | | | | bot_bo454148287e_bool) | all_991_0 = all_991_1)))
% 79.46/11.46 | | | | |
% 79.46/11.46 | | | | | ALPHA: (476) implies:
% 79.46/11.46 | | | | | (477) hBOOL(all_499_1) = all_991_2
% 79.46/11.46 | | | | |
% 79.46/11.46 | | | | | REDUCE: (385), (471) imply:
% 79.46/11.46 | | | | | (478) insert668001005_state(all_499_3, all_570_2) = all_985_2
% 79.46/11.46 | | | | |
% 79.46/11.46 | | | | | REDUCE: (385), (465) imply:
% 79.46/11.46 | | | | | (479) insert668001005_state(all_499_3, all_570_2) = all_973_4
% 79.46/11.46 | | | | |
% 79.46/11.46 | | | | | REDUCE: (206), (385) imply:
% 79.46/11.46 | | | | | (480) insert668001005_state(all_499_3, all_570_2) = all_570_2
% 79.46/11.46 | | | | |
% 79.46/11.46 | | | | | REDUCE: (385), (435) imply:
% 79.46/11.46 | | | | | (481) hAPP_f355887345l_bool(all_945_4, all_570_2) = all_945_3
% 79.46/11.46 | | | | |
% 79.46/11.46 | | | | | BETA: splitting (387) gives:
% 79.46/11.46 | | | | |
% 79.46/11.46 | | | | | Case 1:
% 79.46/11.46 | | | | | |
% 79.46/11.46 | | | | | | (482) ~ (all_511_0 = 0)
% 79.46/11.46 | | | | | |
% 79.46/11.46 | | | | | | REDUCE: (111), (482) imply:
% 79.46/11.46 | | | | | | (483) $false
% 79.46/11.46 | | | | | |
% 79.46/11.46 | | | | | | CLOSE: (483) is inconsistent.
% 79.46/11.46 | | | | | |
% 79.46/11.46 | | | | | Case 2:
% 79.46/11.46 | | | | | |
% 79.46/11.46 | | | | | | (484) ? [v0: option_com] : ? [v1: any] : (some_com(y) = v0 &
% 79.46/11.46 | | | | | | hBOOL(all_677_4) = v1 & option_com(v0) & ( ~ (v0 =
% 79.46/11.46 | | | | | | all_459_0) | v1 = 0))
% 79.46/11.46 | | | | | |
% 79.46/11.46 | | | | | | DELTA: instantiating (484) with fresh symbols all_997_0, all_997_1
% 79.46/11.46 | | | | | | gives:
% 79.46/11.46 | | | | | | (485) some_com(y) = all_997_1 & hBOOL(all_677_4) = all_997_0 &
% 79.46/11.46 | | | | | | option_com(all_997_1) & ( ~ (all_997_1 = all_459_0) |
% 79.46/11.46 | | | | | | all_997_0 = 0)
% 79.46/11.46 | | | | | |
% 79.46/11.46 | | | | | | ALPHA: (485) implies:
% 79.46/11.46 | | | | | | (486) hBOOL(all_677_4) = all_997_0
% 79.46/11.46 | | | | | | (487) some_com(y) = all_997_1
% 79.46/11.46 | | | | | | (488) ~ (all_997_1 = all_459_0) | all_997_0 = 0
% 79.46/11.46 | | | | | |
% 79.46/11.46 | | | | | | BETA: splitting (386) gives:
% 79.46/11.46 | | | | | |
% 79.46/11.46 | | | | | | Case 1:
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | (489) hBOOL(all_499_1) = 0
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | GROUND_INST: instantiating (34) with all_499_0, all_955_0,
% 79.46/11.46 | | | | | | | all_499_1, simplifying with (53), (448) gives:
% 79.46/11.46 | | | | | | | (490) all_955_0 = all_499_0
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | GROUND_INST: instantiating (34) with all_953_4, all_955_0,
% 79.46/11.46 | | | | | | | all_499_1, simplifying with (446), (448) gives:
% 79.46/11.46 | | | | | | | (491) all_955_0 = all_953_4
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | GROUND_INST: instantiating (34) with all_947_0, all_955_0,
% 79.46/11.46 | | | | | | | all_499_1, simplifying with (439), (448) gives:
% 79.46/11.46 | | | | | | | (492) all_955_0 = all_947_0
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | GROUND_INST: instantiating (34) with all_947_0, all_967_1,
% 79.46/11.46 | | | | | | | all_499_1, simplifying with (439), (456) gives:
% 79.46/11.46 | | | | | | | (493) all_967_1 = all_947_0
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | GROUND_INST: instantiating (34) with all_967_1, all_989_3,
% 79.46/11.46 | | | | | | | all_499_1, simplifying with (456), (475) gives:
% 79.46/11.46 | | | | | | | (494) all_989_3 = all_967_1
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | GROUND_INST: instantiating (34) with all_989_3, all_991_2,
% 79.46/11.46 | | | | | | | all_499_1, simplifying with (475), (477) gives:
% 79.46/11.46 | | | | | | | (495) all_991_2 = all_989_3
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | GROUND_INST: instantiating (34) with 0, all_991_2, all_499_1,
% 79.46/11.46 | | | | | | | simplifying with (477), (489) gives:
% 79.46/11.46 | | | | | | | (496) all_991_2 = 0
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | COMBINE_EQS: (495), (496) imply:
% 79.46/11.46 | | | | | | | (497) all_989_3 = 0
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | SIMP: (497) implies:
% 79.46/11.46 | | | | | | | (498) all_989_3 = 0
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | COMBINE_EQS: (494), (498) imply:
% 79.46/11.46 | | | | | | | (499) all_967_1 = 0
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | SIMP: (499) implies:
% 79.46/11.46 | | | | | | | (500) all_967_1 = 0
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | COMBINE_EQS: (493), (500) imply:
% 79.46/11.46 | | | | | | | (501) all_947_0 = 0
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | SIMP: (501) implies:
% 79.46/11.46 | | | | | | | (502) all_947_0 = 0
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | COMBINE_EQS: (490), (491) imply:
% 79.46/11.46 | | | | | | | (503) all_953_4 = all_499_0
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | COMBINE_EQS: (491), (492) imply:
% 79.46/11.46 | | | | | | | (504) all_953_4 = all_947_0
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | COMBINE_EQS: (503), (504) imply:
% 79.46/11.46 | | | | | | | (505) all_947_0 = all_499_0
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | SIMP: (505) implies:
% 79.46/11.46 | | | | | | | (506) all_947_0 = all_499_0
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | COMBINE_EQS: (502), (506) imply:
% 79.46/11.46 | | | | | | | (507) all_499_0 = 0
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | REDUCE: (52), (507) imply:
% 79.46/11.46 | | | | | | | (508) $false
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | CLOSE: (508) is inconsistent.
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | Case 2:
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | GROUND_INST: instantiating (34) with all_889_0, all_915_1,
% 79.46/11.46 | | | | | | | all_615_0, simplifying with (415), (419) gives:
% 79.46/11.46 | | | | | | | (509) all_915_1 = all_889_0
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | GROUND_INST: instantiating (34) with all_863_0, all_915_1,
% 79.46/11.46 | | | | | | | all_615_0, simplifying with (407), (419) gives:
% 79.46/11.46 | | | | | | | (510) all_915_1 = all_863_0
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | GROUND_INST: instantiating (34) with all_915_1, all_943_0,
% 79.46/11.46 | | | | | | | all_615_0, simplifying with (419), (429) gives:
% 79.46/11.46 | | | | | | | (511) all_943_0 = all_915_1
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | GROUND_INST: instantiating (34) with all_943_0, all_945_1,
% 79.46/11.46 | | | | | | | all_615_0, simplifying with (429), (432) gives:
% 79.46/11.46 | | | | | | | (512) all_945_1 = all_943_0
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | GROUND_INST: instantiating (34) with all_945_1, all_965_0,
% 79.46/11.46 | | | | | | | all_615_0, simplifying with (432), (454) gives:
% 79.46/11.46 | | | | | | | (513) all_965_0 = all_945_1
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | GROUND_INST: instantiating (34) with all_835_1, all_965_0,
% 79.46/11.46 | | | | | | | all_615_0, simplifying with (393), (454) gives:
% 79.46/11.46 | | | | | | | (514) all_965_0 = all_835_1
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | GROUND_INST: instantiating (34) with all_915_1, all_969_1,
% 79.46/11.46 | | | | | | | all_615_0, simplifying with (419), (458) gives:
% 79.46/11.46 | | | | | | | (515) all_969_1 = all_915_1
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | GROUND_INST: instantiating (34) with all_891_1, all_969_1,
% 79.46/11.46 | | | | | | | all_615_0, simplifying with (417), (458) gives:
% 79.46/11.46 | | | | | | | (516) all_969_1 = all_891_1
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | GROUND_INST: instantiating (34) with 0, all_987_0, all_615_0,
% 79.46/11.46 | | | | | | | simplifying with (153), (473) gives:
% 79.46/11.46 | | | | | | | (517) all_987_0 = 0
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | GROUND_INST: instantiating (34) with all_863_0, all_987_0,
% 79.46/11.46 | | | | | | | all_615_0, simplifying with (407), (473) gives:
% 79.46/11.46 | | | | | | | (518) all_987_0 = all_863_0
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | GROUND_INST: instantiating (34) with all_877_0, all_945_0,
% 79.46/11.46 | | | | | | | all_657_3, simplifying with (413), (433) gives:
% 79.46/11.46 | | | | | | | (519) all_945_0 = all_877_0
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | GROUND_INST: instantiating (34) with all_657_2, all_949_0,
% 79.46/11.46 | | | | | | | all_657_3, simplifying with (204), (442) gives:
% 79.46/11.46 | | | | | | | (520) all_949_0 = all_657_2
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | GROUND_INST: instantiating (34) with all_943_1, all_949_0,
% 79.46/11.46 | | | | | | | all_657_3, simplifying with (430), (442) gives:
% 79.46/11.46 | | | | | | | (521) all_949_0 = all_943_1
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | GROUND_INST: instantiating (34) with all_831_1, all_951_0,
% 79.46/11.46 | | | | | | | all_657_3, simplifying with (389), (444) gives:
% 79.46/11.46 | | | | | | | (522) all_951_0 = all_831_1
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | GROUND_INST: instantiating (34) with all_951_0, all_957_1,
% 79.46/11.46 | | | | | | | all_657_3, simplifying with (444), (450) gives:
% 79.46/11.46 | | | | | | | (523) all_957_1 = all_951_0
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | GROUND_INST: instantiating (34) with all_949_1, all_957_1,
% 79.46/11.46 | | | | | | | all_657_3, simplifying with (441), (450) gives:
% 79.46/11.46 | | | | | | | (524) all_957_1 = all_949_1
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | GROUND_INST: instantiating (34) with all_945_0, all_957_1,
% 79.46/11.46 | | | | | | | all_657_3, simplifying with (433), (450) gives:
% 79.46/11.46 | | | | | | | (525) all_957_1 = all_945_0
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | GROUND_INST: instantiating (34) with all_943_1, all_971_0,
% 79.46/11.46 | | | | | | | all_657_3, simplifying with (430), (462) gives:
% 79.46/11.46 | | | | | | | (526) all_971_0 = all_943_1
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | GROUND_INST: instantiating (34) with all_877_0, all_971_0,
% 79.46/11.46 | | | | | | | all_657_3, simplifying with (413), (462) gives:
% 79.46/11.46 | | | | | | | (527) all_971_0 = all_877_0
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | GROUND_INST: instantiating (34) with all_833_0, all_971_0,
% 79.46/11.46 | | | | | | | all_657_3, simplifying with (391), (462) gives:
% 79.46/11.46 | | | | | | | (528) all_971_0 = all_833_0
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | GROUND_INST: instantiating (34) with all_943_1, all_973_0,
% 79.46/11.46 | | | | | | | all_657_3, simplifying with (430), (464) gives:
% 79.46/11.46 | | | | | | | (529) all_973_0 = all_943_1
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | GROUND_INST: instantiating (34) with all_875_1, all_973_0,
% 79.46/11.46 | | | | | | | all_657_3, simplifying with (411), (464) gives:
% 79.46/11.46 | | | | | | | (530) all_973_0 = all_875_1
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | GROUND_INST: instantiating (34) with all_973_0, all_985_3,
% 79.46/11.46 | | | | | | | all_657_3, simplifying with (464), (470) gives:
% 79.46/11.46 | | | | | | | (531) all_985_3 = all_973_0
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | GROUND_INST: instantiating (34) with all_959_1, all_985_3,
% 79.46/11.46 | | | | | | | all_657_3, simplifying with (452), (470) gives:
% 79.46/11.46 | | | | | | | (532) all_985_3 = all_959_1
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | GROUND_INST: instantiating (34) with all_677_3, all_997_0,
% 79.46/11.46 | | | | | | | all_677_4, simplifying with (233), (486) gives:
% 79.46/11.46 | | | | | | | (533) all_997_0 = all_677_3
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | GROUND_INST: instantiating (34) with all_841_4, all_841_3,
% 79.46/11.46 | | | | | | | all_677_1, simplifying with (400), (401) gives:
% 79.46/11.46 | | | | | | | (534) all_841_3 = all_841_4
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | GROUND_INST: instantiating (34) with all_841_3, all_939_1,
% 79.46/11.46 | | | | | | | all_677_1, simplifying with (401), (427) gives:
% 79.46/11.46 | | | | | | | (535) all_939_1 = all_841_3
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | GROUND_INST: instantiating (34) with all_939_1, all_975_1,
% 79.46/11.46 | | | | | | | all_677_1, simplifying with (427), (467) gives:
% 79.46/11.46 | | | | | | | (536) all_975_1 = all_939_1
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | GROUND_INST: instantiating (34) with all_839_1, all_975_1,
% 79.46/11.46 | | | | | | | all_677_1, simplifying with (395), (467) gives:
% 79.46/11.46 | | | | | | | (537) all_975_1 = all_839_1
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | GROUND_INST: instantiating (34) with all_677_0, all_975_0,
% 79.46/11.46 | | | | | | | all_677_1, simplifying with (234), (468) gives:
% 79.46/11.46 | | | | | | | (538) all_975_0 = all_677_0
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | GROUND_INST: instantiating (34) with all_841_4, all_975_0,
% 79.46/11.46 | | | | | | | all_677_1, simplifying with (400), (468) gives:
% 79.46/11.46 | | | | | | | (539) all_975_0 = all_841_4
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | GROUND_INST: instantiating (34) with all_839_0, all_975_0,
% 79.46/11.46 | | | | | | | all_677_1, simplifying with (396), (468) gives:
% 79.46/11.46 | | | | | | | (540) all_975_0 = all_839_0
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | GROUND_INST: instantiating (35) with all_572_0, all_969_4,
% 79.46/11.46 | | | | | | | bot_bo454148287e_bool, simplifying with (91), (460)
% 79.46/11.46 | | | | | | | gives:
% 79.46/11.46 | | | | | | | (541) all_969_4 = all_572_0
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | GROUND_INST: instantiating (35) with all_945_4, all_969_4,
% 79.46/11.46 | | | | | | | bot_bo454148287e_bool, simplifying with (436), (460)
% 79.46/11.46 | | | | | | | gives:
% 79.46/11.46 | | | | | | | (542) all_969_4 = all_945_4
% 79.46/11.46 | | | | | | |
% 79.46/11.46 | | | | | | | GROUND_INST: instantiating (39) with all_839_4, all_865_2,
% 79.46/11.46 | | | | | | | all_570_2, all_499_3, simplifying with (398), (409)
% 79.46/11.46 | | | | | | | gives:
% 79.46/11.46 | | | | | | | (543) all_865_2 = all_839_4
% 79.46/11.46 | | | | | | |
% 79.46/11.47 | | | | | | | GROUND_INST: instantiating (39) with all_865_2, all_917_4,
% 79.46/11.47 | | | | | | | all_570_2, all_499_3, simplifying with (409), (421)
% 79.46/11.47 | | | | | | | gives:
% 79.46/11.47 | | | | | | | (544) all_917_4 = all_865_2
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | GROUND_INST: instantiating (39) with all_865_2, all_929_4,
% 79.46/11.47 | | | | | | | all_570_2, all_499_3, simplifying with (409), (423)
% 79.46/11.47 | | | | | | | gives:
% 79.46/11.47 | | | | | | | (545) all_929_4 = all_865_2
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | GROUND_INST: instantiating (39) with all_841_2, all_929_4,
% 79.46/11.47 | | | | | | | all_570_2, all_499_3, simplifying with (404), (423)
% 79.46/11.47 | | | | | | | gives:
% 79.46/11.47 | | | | | | | (546) all_929_4 = all_841_2
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | GROUND_INST: instantiating (39) with all_917_4, all_973_4,
% 79.46/11.47 | | | | | | | all_570_2, all_499_3, simplifying with (421), (479)
% 79.46/11.47 | | | | | | | gives:
% 79.46/11.47 | | | | | | | (547) all_973_4 = all_917_4
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | GROUND_INST: instantiating (39) with all_570_2, all_973_4,
% 79.46/11.47 | | | | | | | all_570_2, all_499_3, simplifying with (479), (480)
% 79.46/11.47 | | | | | | | gives:
% 79.46/11.47 | | | | | | | (548) all_973_4 = all_570_2
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | GROUND_INST: instantiating (39) with all_973_4, all_985_2,
% 79.46/11.47 | | | | | | | all_570_2, all_499_3, simplifying with (478), (479)
% 79.46/11.47 | | | | | | | gives:
% 79.46/11.47 | | | | | | | (549) all_985_2 = all_973_4
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | GROUND_INST: instantiating (39) with all_931_2, all_985_2,
% 79.46/11.47 | | | | | | | all_570_2, all_499_3, simplifying with (425), (478)
% 79.46/11.47 | | | | | | | gives:
% 79.46/11.47 | | | | | | | (550) all_985_2 = all_931_2
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | GROUND_INST: instantiating (37) with all_459_0, all_997_1, y,
% 79.46/11.47 | | | | | | | simplifying with (48), (487) gives:
% 79.46/11.47 | | | | | | | (551) all_997_1 = all_459_0
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | COMBINE_EQS: (517), (518) imply:
% 79.46/11.47 | | | | | | | (552) all_863_0 = 0
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | SIMP: (552) implies:
% 79.46/11.47 | | | | | | | (553) all_863_0 = 0
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | COMBINE_EQS: (549), (550) imply:
% 79.46/11.47 | | | | | | | (554) all_973_4 = all_931_2
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | SIMP: (554) implies:
% 79.46/11.47 | | | | | | | (555) all_973_4 = all_931_2
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | COMBINE_EQS: (531), (532) imply:
% 79.46/11.47 | | | | | | | (556) all_973_0 = all_959_1
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | SIMP: (556) implies:
% 79.46/11.47 | | | | | | | (557) all_973_0 = all_959_1
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | COMBINE_EQS: (539), (540) imply:
% 79.46/11.47 | | | | | | | (558) all_841_4 = all_839_0
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | SIMP: (558) implies:
% 79.46/11.47 | | | | | | | (559) all_841_4 = all_839_0
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | COMBINE_EQS: (538), (540) imply:
% 79.46/11.47 | | | | | | | (560) all_839_0 = all_677_0
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | COMBINE_EQS: (536), (537) imply:
% 79.46/11.47 | | | | | | | (561) all_939_1 = all_839_1
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | SIMP: (561) implies:
% 79.46/11.47 | | | | | | | (562) all_939_1 = all_839_1
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | COMBINE_EQS: (530), (557) imply:
% 79.46/11.47 | | | | | | | (563) all_959_1 = all_875_1
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | COMBINE_EQS: (529), (557) imply:
% 79.46/11.47 | | | | | | | (564) all_959_1 = all_943_1
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | COMBINE_EQS: (548), (555) imply:
% 79.46/11.47 | | | | | | | (565) all_931_2 = all_570_2
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | COMBINE_EQS: (547), (555) imply:
% 79.46/11.47 | | | | | | | (566) all_931_2 = all_917_4
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | COMBINE_EQS: (527), (528) imply:
% 79.46/11.47 | | | | | | | (567) all_877_0 = all_833_0
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | SIMP: (567) implies:
% 79.46/11.47 | | | | | | | (568) all_877_0 = all_833_0
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | COMBINE_EQS: (526), (528) imply:
% 79.46/11.47 | | | | | | | (569) all_943_1 = all_833_0
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | SIMP: (569) implies:
% 79.46/11.47 | | | | | | | (570) all_943_1 = all_833_0
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | COMBINE_EQS: (515), (516) imply:
% 79.46/11.47 | | | | | | | (571) all_915_1 = all_891_1
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | SIMP: (571) implies:
% 79.46/11.47 | | | | | | | (572) all_915_1 = all_891_1
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | COMBINE_EQS: (541), (542) imply:
% 79.46/11.47 | | | | | | | (573) all_945_4 = all_572_0
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | SIMP: (573) implies:
% 79.46/11.47 | | | | | | | (574) all_945_4 = all_572_0
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | COMBINE_EQS: (513), (514) imply:
% 79.46/11.47 | | | | | | | (575) all_945_1 = all_835_1
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | SIMP: (575) implies:
% 79.46/11.47 | | | | | | | (576) all_945_1 = all_835_1
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | COMBINE_EQS: (563), (564) imply:
% 79.46/11.47 | | | | | | | (577) all_943_1 = all_875_1
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | SIMP: (577) implies:
% 79.46/11.47 | | | | | | | (578) all_943_1 = all_875_1
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | COMBINE_EQS: (524), (525) imply:
% 79.46/11.47 | | | | | | | (579) all_949_1 = all_945_0
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | COMBINE_EQS: (523), (524) imply:
% 79.46/11.47 | | | | | | | (580) all_951_0 = all_949_1
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | SIMP: (580) implies:
% 79.46/11.47 | | | | | | | (581) all_951_0 = all_949_1
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | COMBINE_EQS: (522), (581) imply:
% 79.46/11.47 | | | | | | | (582) all_949_1 = all_831_1
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | SIMP: (582) implies:
% 79.46/11.47 | | | | | | | (583) all_949_1 = all_831_1
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | COMBINE_EQS: (520), (521) imply:
% 79.46/11.47 | | | | | | | (584) all_943_1 = all_657_2
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | SIMP: (584) implies:
% 79.46/11.47 | | | | | | | (585) all_943_1 = all_657_2
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | COMBINE_EQS: (579), (583) imply:
% 79.46/11.47 | | | | | | | (586) all_945_0 = all_831_1
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | SIMP: (586) implies:
% 79.46/11.47 | | | | | | | (587) all_945_0 = all_831_1
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | COMBINE_EQS: (519), (587) imply:
% 79.46/11.47 | | | | | | | (588) all_877_0 = all_831_1
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | SIMP: (588) implies:
% 79.46/11.47 | | | | | | | (589) all_877_0 = all_831_1
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | COMBINE_EQS: (512), (576) imply:
% 79.46/11.47 | | | | | | | (590) all_943_0 = all_835_1
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | SIMP: (590) implies:
% 79.46/11.47 | | | | | | | (591) all_943_0 = all_835_1
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | COMBINE_EQS: (511), (591) imply:
% 79.46/11.47 | | | | | | | (592) all_915_1 = all_835_1
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | SIMP: (592) implies:
% 79.46/11.47 | | | | | | | (593) all_915_1 = all_835_1
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | COMBINE_EQS: (570), (578) imply:
% 79.46/11.47 | | | | | | | (594) all_875_1 = all_833_0
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | COMBINE_EQS: (578), (585) imply:
% 79.46/11.47 | | | | | | | (595) all_875_1 = all_657_2
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | COMBINE_EQS: (535), (562) imply:
% 79.46/11.47 | | | | | | | (596) all_841_3 = all_839_1
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | SIMP: (596) implies:
% 79.46/11.47 | | | | | | | (597) all_841_3 = all_839_1
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | COMBINE_EQS: (565), (566) imply:
% 79.46/11.47 | | | | | | | (598) all_917_4 = all_570_2
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | SIMP: (598) implies:
% 79.46/11.47 | | | | | | | (599) all_917_4 = all_570_2
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | COMBINE_EQS: (545), (546) imply:
% 79.46/11.47 | | | | | | | (600) all_865_2 = all_841_2
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | SIMP: (600) implies:
% 79.46/11.47 | | | | | | | (601) all_865_2 = all_841_2
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | COMBINE_EQS: (544), (599) imply:
% 79.46/11.47 | | | | | | | (602) all_865_2 = all_570_2
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | SIMP: (602) implies:
% 79.46/11.47 | | | | | | | (603) all_865_2 = all_570_2
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | COMBINE_EQS: (510), (572) imply:
% 79.46/11.47 | | | | | | | (604) all_891_1 = all_863_0
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | COMBINE_EQS: (509), (572) imply:
% 79.46/11.47 | | | | | | | (605) all_891_1 = all_889_0
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | COMBINE_EQS: (572), (593) imply:
% 79.46/11.47 | | | | | | | (606) all_891_1 = all_835_1
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | COMBINE_EQS: (604), (605) imply:
% 79.46/11.47 | | | | | | | (607) all_889_0 = all_863_0
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | COMBINE_EQS: (605), (606) imply:
% 79.46/11.47 | | | | | | | (608) all_889_0 = all_835_1
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | COMBINE_EQS: (607), (608) imply:
% 79.46/11.47 | | | | | | | (609) all_863_0 = all_835_1
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | SIMP: (609) implies:
% 79.46/11.47 | | | | | | | (610) all_863_0 = all_835_1
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | COMBINE_EQS: (568), (589) imply:
% 79.46/11.47 | | | | | | | (611) all_833_0 = all_831_1
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | SIMP: (611) implies:
% 79.46/11.47 | | | | | | | (612) all_833_0 = all_831_1
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | COMBINE_EQS: (594), (595) imply:
% 79.46/11.47 | | | | | | | (613) all_833_0 = all_657_2
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | SIMP: (613) implies:
% 79.46/11.47 | | | | | | | (614) all_833_0 = all_657_2
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | COMBINE_EQS: (543), (601) imply:
% 79.46/11.47 | | | | | | | (615) all_841_2 = all_839_4
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | COMBINE_EQS: (601), (603) imply:
% 79.46/11.47 | | | | | | | (616) all_841_2 = all_570_2
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | COMBINE_EQS: (553), (610) imply:
% 79.46/11.47 | | | | | | | (617) all_835_1 = 0
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | COMBINE_EQS: (615), (616) imply:
% 79.46/11.47 | | | | | | | (618) all_839_4 = all_570_2
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | SIMP: (618) implies:
% 79.46/11.47 | | | | | | | (619) all_839_4 = all_570_2
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | COMBINE_EQS: (534), (597) imply:
% 79.46/11.47 | | | | | | | (620) all_841_4 = all_839_1
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | SIMP: (620) implies:
% 79.46/11.47 | | | | | | | (621) all_841_4 = all_839_1
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | COMBINE_EQS: (559), (621) imply:
% 79.46/11.47 | | | | | | | (622) all_839_0 = all_839_1
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | SIMP: (622) implies:
% 79.46/11.47 | | | | | | | (623) all_839_0 = all_839_1
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | COMBINE_EQS: (560), (623) imply:
% 79.46/11.47 | | | | | | | (624) all_839_1 = all_677_0
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | COMBINE_EQS: (612), (614) imply:
% 79.46/11.47 | | | | | | | (625) all_831_1 = all_657_2
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | COMBINE_EQS: (621), (624) imply:
% 79.46/11.47 | | | | | | | (626) all_841_4 = all_677_0
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | COMBINE_EQS: (597), (624) imply:
% 79.46/11.47 | | | | | | | (627) all_841_3 = all_677_0
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | COMBINE_EQS: (576), (617) imply:
% 79.46/11.47 | | | | | | | (628) all_945_1 = 0
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | COMBINE_EQS: (587), (625) imply:
% 79.46/11.47 | | | | | | | (629) all_945_0 = all_657_2
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | REDUCE: (459), (541) imply:
% 79.46/11.47 | | | | | | | (630) hAPP_f355887345l_bool(all_572_0, all_570_2) = all_969_3
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | REDUCE: (481), (574) imply:
% 79.46/11.47 | | | | | | | (631) hAPP_f355887345l_bool(all_572_0, all_570_2) = all_945_3
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | REDUCE: (403), (616) imply:
% 79.46/11.47 | | | | | | | (632) hAPP_f355887345l_bool(all_572_0, all_570_2) = all_841_1
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | REDUCE: (397), (619) imply:
% 79.46/11.47 | | | | | | | (633) hAPP_f355887345l_bool(all_572_0, all_570_2) = all_839_3
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | BETA: splitting (437) gives:
% 79.46/11.47 | | | | | | |
% 79.46/11.47 | | | | | | | Case 1:
% 79.46/11.47 | | | | | | | |
% 79.46/11.47 | | | | | | | | (634) ~ (all_945_1 = 0)
% 79.46/11.47 | | | | | | | |
% 79.46/11.47 | | | | | | | | REDUCE: (628), (634) imply:
% 79.46/11.47 | | | | | | | | (635) $false
% 79.46/11.47 | | | | | | | |
% 79.46/11.47 | | | | | | | | CLOSE: (635) is inconsistent.
% 79.46/11.47 | | | | | | | |
% 79.46/11.47 | | | | | | | Case 2:
% 79.46/11.47 | | | | | | | |
% 79.46/11.47 | | | | | | | | (636) ~ (all_945_2 = 0) | all_945_0 = 0
% 79.46/11.47 | | | | | | | |
% 79.46/11.47 | | | | | | | | BETA: splitting (488) gives:
% 79.46/11.47 | | | | | | | |
% 79.46/11.47 | | | | | | | | Case 1:
% 79.46/11.47 | | | | | | | | |
% 79.46/11.47 | | | | | | | | | (637) ~ (all_997_1 = all_459_0)
% 79.46/11.47 | | | | | | | | |
% 79.46/11.47 | | | | | | | | | REDUCE: (551), (637) imply:
% 79.46/11.47 | | | | | | | | | (638) $false
% 79.46/11.47 | | | | | | | | |
% 79.46/11.47 | | | | | | | | | CLOSE: (638) is inconsistent.
% 79.46/11.47 | | | | | | | | |
% 79.46/11.47 | | | | | | | | Case 2:
% 79.46/11.47 | | | | | | | | |
% 79.46/11.47 | | | | | | | | | (639) all_997_0 = 0
% 79.46/11.47 | | | | | | | | |
% 79.46/11.47 | | | | | | | | | COMBINE_EQS: (533), (639) imply:
% 79.46/11.47 | | | | | | | | | (640) all_677_3 = 0
% 79.46/11.47 | | | | | | | | |
% 79.46/11.47 | | | | | | | | | BETA: splitting (636) gives:
% 79.46/11.47 | | | | | | | | |
% 79.46/11.47 | | | | | | | | | Case 1:
% 79.46/11.47 | | | | | | | | | |
% 79.46/11.47 | | | | | | | | | | (641) ~ (all_945_2 = 0)
% 79.46/11.47 | | | | | | | | | |
% 79.46/11.47 | | | | | | | | | | BETA: splitting (238) gives:
% 79.46/11.47 | | | | | | | | | |
% 79.46/11.47 | | | | | | | | | | Case 1:
% 79.46/11.47 | | | | | | | | | | |
% 79.46/11.47 | | | | | | | | | | | (642) ~ (all_677_3 = 0)
% 79.46/11.47 | | | | | | | | | | |
% 79.46/11.47 | | | | | | | | | | | REDUCE: (640), (642) imply:
% 79.46/11.47 | | | | | | | | | | | (643) $false
% 79.46/11.47 | | | | | | | | | | |
% 79.46/11.47 | | | | | | | | | | | CLOSE: (643) is inconsistent.
% 79.46/11.47 | | | | | | | | | | |
% 79.46/11.47 | | | | | | | | | | Case 2:
% 79.46/11.47 | | | | | | | | | | |
% 79.46/11.47 | | | | | | | | | | | (644) all_677_0 = 0
% 79.46/11.47 | | | | | | | | | | |
% 79.46/11.47 | | | | | | | | | | | COMBINE_EQS: (626), (644) imply:
% 79.46/11.47 | | | | | | | | | | | (645) all_841_4 = 0
% 79.46/11.47 | | | | | | | | | | |
% 79.46/11.47 | | | | | | | | | | | COMBINE_EQS: (627), (644) imply:
% 79.46/11.47 | | | | | | | | | | | (646) all_841_3 = 0
% 79.46/11.47 | | | | | | | | | | |
% 79.46/11.47 | | | | | | | | | | | BETA: splitting (405) gives:
% 79.46/11.47 | | | | | | | | | | |
% 79.46/11.47 | | | | | | | | | | | Case 1:
% 79.46/11.47 | | | | | | | | | | | |
% 79.46/11.47 | | | | | | | | | | | | (647) ~ (all_841_3 = 0)
% 79.46/11.47 | | | | | | | | | | | |
% 79.46/11.47 | | | | | | | | | | | | REDUCE: (646), (647) imply:
% 79.46/11.47 | | | | | | | | | | | | (648) $false
% 79.46/11.47 | | | | | | | | | | | |
% 79.46/11.47 | | | | | | | | | | | | CLOSE: (648) is inconsistent.
% 79.46/11.47 | | | | | | | | | | | |
% 79.46/11.47 | | | | | | | | | | | Case 2:
% 79.46/11.47 | | | | | | | | | | | |
% 79.46/11.47 | | | | | | | | | | | | (649) ~ (all_841_4 = 0) | all_841_0 = 0
% 79.46/11.47 | | | | | | | | | | | |
% 79.46/11.47 | | | | | | | | | | | | BETA: splitting (649) gives:
% 79.46/11.47 | | | | | | | | | | | |
% 79.46/11.47 | | | | | | | | | | | | Case 1:
% 79.46/11.47 | | | | | | | | | | | | |
% 79.46/11.47 | | | | | | | | | | | | | (650) ~ (all_841_4 = 0)
% 79.46/11.47 | | | | | | | | | | | | |
% 79.46/11.47 | | | | | | | | | | | | | REDUCE: (645), (650) imply:
% 79.46/11.47 | | | | | | | | | | | | | (651) $false
% 79.46/11.47 | | | | | | | | | | | | |
% 79.46/11.47 | | | | | | | | | | | | | CLOSE: (651) is inconsistent.
% 79.46/11.47 | | | | | | | | | | | | |
% 79.46/11.47 | | | | | | | | | | | | Case 2:
% 79.46/11.47 | | | | | | | | | | | | |
% 79.46/11.47 | | | | | | | | | | | | | (652) all_841_0 = 0
% 79.46/11.47 | | | | | | | | | | | | |
% 79.46/11.47 | | | | | | | | | | | | | REDUCE: (402), (652) imply:
% 79.46/11.47 | | | | | | | | | | | | | (653) hBOOL(all_841_1) = 0
% 79.46/11.47 | | | | | | | | | | | | |
% 79.46/11.47 | | | | | | | | | | | | | GROUND_INST: instantiating (38) with all_677_1, all_841_1,
% 79.46/11.47 | | | | | | | | | | | | | all_570_2, all_572_0, simplifying with (337),
% 79.46/11.47 | | | | | | | | | | | | | (632) gives:
% 79.46/11.47 | | | | | | | | | | | | | (654) all_841_1 = all_677_1
% 79.46/11.47 | | | | | | | | | | | | |
% 79.46/11.47 | | | | | | | | | | | | | GROUND_INST: instantiating (38) with all_841_1, all_945_3,
% 79.46/11.47 | | | | | | | | | | | | | all_570_2, all_572_0, simplifying with (631),
% 79.46/11.47 | | | | | | | | | | | | | (632) gives:
% 79.46/11.47 | | | | | | | | | | | | | (655) all_945_3 = all_841_1
% 79.46/11.47 | | | | | | | | | | | | |
% 79.46/11.47 | | | | | | | | | | | | | GROUND_INST: instantiating (38) with all_945_3, all_969_3,
% 79.46/11.47 | | | | | | | | | | | | | all_570_2, all_572_0, simplifying with (630),
% 79.46/11.47 | | | | | | | | | | | | | (631) gives:
% 79.46/11.47 | | | | | | | | | | | | | (656) all_969_3 = all_945_3
% 79.46/11.47 | | | | | | | | | | | | |
% 79.46/11.47 | | | | | | | | | | | | | GROUND_INST: instantiating (38) with all_839_3, all_969_3,
% 79.46/11.47 | | | | | | | | | | | | | all_570_2, all_572_0, simplifying with (630),
% 79.46/11.47 | | | | | | | | | | | | | (633) gives:
% 79.46/11.47 | | | | | | | | | | | | | (657) all_969_3 = all_839_3
% 79.46/11.47 | | | | | | | | | | | | |
% 79.46/11.47 | | | | | | | | | | | | | COMBINE_EQS: (656), (657) imply:
% 79.46/11.47 | | | | | | | | | | | | | (658) all_945_3 = all_839_3
% 79.46/11.47 | | | | | | | | | | | | |
% 79.46/11.47 | | | | | | | | | | | | | SIMP: (658) implies:
% 79.46/11.47 | | | | | | | | | | | | | (659) all_945_3 = all_839_3
% 79.46/11.47 | | | | | | | | | | | | |
% 79.46/11.47 | | | | | | | | | | | | | COMBINE_EQS: (655), (659) imply:
% 79.46/11.47 | | | | | | | | | | | | | (660) all_841_1 = all_839_3
% 79.46/11.47 | | | | | | | | | | | | |
% 79.46/11.47 | | | | | | | | | | | | | SIMP: (660) implies:
% 79.46/11.47 | | | | | | | | | | | | | (661) all_841_1 = all_839_3
% 79.46/11.47 | | | | | | | | | | | | |
% 79.46/11.47 | | | | | | | | | | | | | COMBINE_EQS: (654), (661) imply:
% 79.46/11.47 | | | | | | | | | | | | | (662) all_839_3 = all_677_1
% 79.46/11.47 | | | | | | | | | | | | |
% 79.46/11.47 | | | | | | | | | | | | | COMBINE_EQS: (659), (662) imply:
% 79.46/11.47 | | | | | | | | | | | | | (663) all_945_3 = all_677_1
% 79.46/11.47 | | | | | | | | | | | | |
% 79.46/11.47 | | | | | | | | | | | | | REDUCE: (434), (663) imply:
% 79.46/11.47 | | | | | | | | | | | | | (664) hBOOL(all_677_1) = all_945_2
% 79.46/11.47 | | | | | | | | | | | | |
% 79.46/11.47 | | | | | | | | | | | | | REDUCE: (653), (654) imply:
% 79.46/11.47 | | | | | | | | | | | | | (665) hBOOL(all_677_1) = 0
% 79.46/11.47 | | | | | | | | | | | | |
% 79.46/11.47 | | | | | | | | | | | | | GROUND_INST: instantiating (34) with 0, all_945_2, all_677_1,
% 79.46/11.47 | | | | | | | | | | | | | simplifying with (664), (665) gives:
% 79.46/11.47 | | | | | | | | | | | | | (666) all_945_2 = 0
% 79.46/11.47 | | | | | | | | | | | | |
% 79.46/11.47 | | | | | | | | | | | | | REDUCE: (641), (666) imply:
% 79.46/11.47 | | | | | | | | | | | | | (667) $false
% 79.46/11.47 | | | | | | | | | | | | |
% 79.46/11.47 | | | | | | | | | | | | | CLOSE: (667) is inconsistent.
% 79.46/11.47 | | | | | | | | | | | | |
% 79.46/11.47 | | | | | | | | | | | | End of split
% 79.46/11.47 | | | | | | | | | | | |
% 79.46/11.47 | | | | | | | | | | | End of split
% 79.46/11.47 | | | | | | | | | | |
% 79.46/11.47 | | | | | | | | | | End of split
% 79.46/11.47 | | | | | | | | | |
% 79.46/11.47 | | | | | | | | | Case 2:
% 79.46/11.47 | | | | | | | | | |
% 79.46/11.47 | | | | | | | | | | (668) all_945_0 = 0
% 79.46/11.47 | | | | | | | | | |
% 79.46/11.47 | | | | | | | | | | COMBINE_EQS: (629), (668) imply:
% 79.46/11.47 | | | | | | | | | | (669) all_657_2 = 0
% 79.46/11.47 | | | | | | | | | |
% 79.46/11.47 | | | | | | | | | | REDUCE: (347), (669) imply:
% 79.46/11.47 | | | | | | | | | | (670) $false
% 79.46/11.47 | | | | | | | | | |
% 79.46/11.47 | | | | | | | | | | CLOSE: (670) is inconsistent.
% 79.46/11.47 | | | | | | | | | |
% 79.46/11.47 | | | | | | | | | End of split
% 79.46/11.47 | | | | | | | | |
% 79.46/11.47 | | | | | | | | End of split
% 79.46/11.47 | | | | | | | |
% 79.46/11.47 | | | | | | | End of split
% 79.46/11.47 | | | | | | |
% 79.46/11.48 | | | | | | End of split
% 79.46/11.48 | | | | | |
% 79.46/11.48 | | | | | End of split
% 79.46/11.48 | | | | |
% 79.46/11.48 | | | | Case 2:
% 79.46/11.48 | | | | |
% 79.46/11.48 | | | | | (671) all_657_0 = 0 & all_657_1 = 0
% 79.46/11.48 | | | | |
% 79.46/11.48 | | | | | ALPHA: (671) implies:
% 79.46/11.48 | | | | | (672) all_657_1 = 0
% 79.46/11.48 | | | | |
% 79.46/11.48 | | | | | COMBINE_EQS: (336), (672) imply:
% 79.46/11.48 | | | | | (673) all_570_0 = 0
% 79.46/11.48 | | | | |
% 79.46/11.48 | | | | | REDUCE: (76), (673) imply:
% 79.46/11.48 | | | | | (674) $false
% 79.46/11.48 | | | | |
% 79.46/11.48 | | | | | CLOSE: (674) is inconsistent.
% 79.46/11.48 | | | | |
% 79.46/11.48 | | | | End of split
% 79.46/11.48 | | | |
% 79.46/11.48 | | | Case 2:
% 79.46/11.48 | | | |
% 79.46/11.48 | | | | (675) ? [v0: int] : ( ~ (v0 = 0) & hBOOL(all_514_0) = v0)
% 79.46/11.48 | | | |
% 79.46/11.48 | | | | DELTA: instantiating (675) with fresh symbol all_693_0 gives:
% 79.46/11.48 | | | | (676) ~ (all_693_0 = 0) & hBOOL(all_514_0) = all_693_0
% 79.46/11.48 | | | |
% 79.46/11.48 | | | | ALPHA: (676) implies:
% 79.46/11.48 | | | | (677) ~ (all_693_0 = 0)
% 79.46/11.48 | | | | (678) hBOOL(all_514_0) = all_693_0
% 79.46/11.48 | | | |
% 79.46/11.48 | | | | GROUND_INST: instantiating (34) with 0, all_693_0, all_514_0,
% 79.46/11.48 | | | | simplifying with (70), (678) gives:
% 79.46/11.48 | | | | (679) all_693_0 = 0
% 79.46/11.48 | | | |
% 79.46/11.48 | | | | REDUCE: (677), (679) imply:
% 79.46/11.48 | | | | (680) $false
% 79.46/11.48 | | | |
% 79.46/11.48 | | | | CLOSE: (680) is inconsistent.
% 79.46/11.48 | | | |
% 79.46/11.48 | | | End of split
% 79.46/11.48 | | |
% 79.46/11.48 | | End of split
% 79.46/11.48 | |
% 79.46/11.48 | End of split
% 79.46/11.48 |
% 79.46/11.48 End of proof
% 79.46/11.48 % SZS output end Proof for theBenchmark
% 79.46/11.48
% 79.46/11.48 10860ms
%------------------------------------------------------------------------------