TSTP Solution File: SWW470+2 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SWW470+2 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n023.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 00:50:11 EDT 2023
% Result : Theorem 62.12s 8.69s
% Output : Proof 120.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW470+2 : TPTP v8.1.2. Released v5.3.0.
% 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 21:00:25 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.48/0.61 ________ _____
% 0.48/0.61 ___ __ \_________(_)________________________________
% 0.48/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.48/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.48/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.48/0.61
% 0.48/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.48/0.61 (2023-06-19)
% 0.48/0.61
% 0.48/0.61 (c) Philipp Rümmer, 2009-2023
% 0.48/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.48/0.61 Amanda Stjerna.
% 0.48/0.61 Free software under BSD-3-Clause.
% 0.48/0.61
% 0.48/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.48/0.61
% 0.48/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.48/0.63 Running up to 7 provers in parallel.
% 0.72/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.72/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.72/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.72/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.72/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.72/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.72/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 14.69/2.71 Prover 1: Preprocessing ...
% 15.40/2.73 Prover 3: Preprocessing ...
% 15.40/2.73 Prover 5: Preprocessing ...
% 15.40/2.73 Prover 0: Preprocessing ...
% 15.40/2.74 Prover 6: Preprocessing ...
% 15.40/2.74 Prover 4: Preprocessing ...
% 15.40/2.75 Prover 2: Preprocessing ...
% 41.98/6.12 Prover 3: Warning: ignoring some quantifiers
% 41.98/6.15 Prover 1: Warning: ignoring some quantifiers
% 42.59/6.26 Prover 3: Constructing countermodel ...
% 44.27/6.44 Prover 1: Constructing countermodel ...
% 44.97/6.57 Prover 6: Proving ...
% 47.39/6.83 Prover 4: Warning: ignoring some quantifiers
% 50.44/7.23 Prover 4: Constructing countermodel ...
% 55.04/7.85 Prover 0: Proving ...
% 62.12/8.69 Prover 6: proved (8054ms)
% 62.12/8.69
% 62.12/8.69 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 62.12/8.69
% 62.12/8.70 Prover 3: stopped
% 62.12/8.71 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 62.12/8.71 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 62.78/8.77 Prover 0: stopped
% 62.78/8.77 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 64.53/9.06 Prover 5: Proving ...
% 64.53/9.06 Prover 5: stopped
% 65.21/9.07 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 69.23/9.61 Prover 7: Preprocessing ...
% 69.23/9.62 Prover 8: Preprocessing ...
% 69.23/9.64 Prover 10: Preprocessing ...
% 70.90/9.86 Prover 11: Preprocessing ...
% 78.79/10.84 Prover 2: Proving ...
% 78.79/10.84 Prover 2: stopped
% 78.79/10.84 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 82.53/11.34 Prover 10: Warning: ignoring some quantifiers
% 83.37/11.39 Prover 8: Warning: ignoring some quantifiers
% 83.76/11.46 Prover 13: Preprocessing ...
% 84.97/11.63 Prover 10: Constructing countermodel ...
% 85.55/11.67 Prover 8: Constructing countermodel ...
% 87.33/11.94 Prover 7: Warning: ignoring some quantifiers
% 88.49/12.09 Prover 7: Constructing countermodel ...
% 89.11/12.14 Prover 11: Warning: ignoring some quantifiers
% 90.86/12.40 Prover 11: Constructing countermodel ...
% 100.96/13.64 Prover 13: Warning: ignoring some quantifiers
% 102.27/13.83 Prover 13: Constructing countermodel ...
% 112.91/15.17 Prover 13: stopped
% 112.91/15.17 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 116.45/15.64 Prover 10: Found proof (size 42)
% 116.45/15.65 Prover 10: proved (6883ms)
% 116.45/15.65 Prover 7: stopped
% 116.88/15.65 Prover 1: stopped
% 116.88/15.66 Prover 11: stopped
% 116.88/15.66 Prover 8: stopped
% 116.88/15.74 Prover 16: Preprocessing ...
% 117.39/15.76 Prover 4: stopped
% 119.14/16.18 Prover 16: stopped
% 119.14/16.18
% 119.14/16.18 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 119.14/16.18
% 119.14/16.19 % SZS output start Proof for theBenchmark
% 119.14/16.23 Assumptions after simplification:
% 119.14/16.23 ---------------------------------
% 119.14/16.23
% 119.14/16.23 (conj_0)
% 119.51/16.27 $i(b) & $i(p) & $i(c) & $i(g) & $i(cOMBB_145932198bool_a) &
% 119.51/16.27 $i(cOMBC_892787026e_bool) & $i(cOMBB_160679318_state) & $i(cOMBK_bool_state) &
% 119.51/16.27 $i(cOMBS_1378840469l_bool) & $i(fNot) & $i(cOMBK_1458035955bool_a) & $i(fconj)
% 119.51/16.27 & $i(cOMBB_188601460_state) & $i(cOMBB_1355796797bool_a) &
% 119.51/16.27 $i(insert873085594iple_a) & $i(bot_bo1181479936a_bool) & $i(fFalse) & ? [v0:
% 119.51/16.27 $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 119.51/16.27 ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11:
% 119.51/16.27 $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15: $i] :
% 119.51/16.27 (hAPP_f375255701e_bool(cOMBB_145932198bool_a, cOMBS_1378840469l_bool) = v3 &
% 119.51/16.27 hAPP_f963367678e_bool(v3, v6) = v7 &
% 119.51/16.27 hAPP_f1261923407e_bool(cOMBC_892787026e_bool, v7) = v8 &
% 119.51/16.27 hAPP_f2073279419e_bool(cOMBB_160679318_state, fNot) = v9 &
% 119.51/16.27 hAPP_f1759915619e_bool(v9, b) = v10 &
% 119.51/16.27 hAPP_b2019457360e_bool(cOMBK_bool_state, fFalse) = v1 &
% 119.51/16.27 hAPP_f762886889e_bool(v8, v10) = v11 &
% 119.51/16.27 hAPP_f762886889e_bool(cOMBK_1458035955bool_a, v1) = v2 &
% 119.51/16.27 hAPP_f1561913689l_bool(cOMBB_188601460_state, fconj) = v4 &
% 119.51/16.27 hAPP_f1178339559l_bool(cOMBB_1355796797bool_a, v4) = v5 &
% 119.51/16.27 hAPP_f1509969235l_bool(v5, p) = v6 &
% 119.51/16.27 hAPP_H1641355846a_bool(insert873085594iple_a, v12) = v13 &
% 119.51/16.27 hAPP_f1591852335a_bool(v13, bot_bo1181479936a_bool) = v14 &
% 119.51/16.27 hoare_1760757500iple_a(v2, c, v11) = v12 & hoare_606018542rivs_a(g) = v0 &
% 119.51/16.27 hAPP_f540970102l_bool(v0, v14) = v15 & $i(v15) & $i(v14) & $i(v13) & $i(v12)
% 119.51/16.27 & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 119.51/16.27 $i(v3) & $i(v2) & $i(v1) & $i(v0) & ~ hBOOL(v15))
% 119.51/16.27
% 119.51/16.27 (fact_10_escape)
% 119.51/16.28 $i(fequal_state) & $i(cOMBC_2027030106e_bool) & $i(cOMBK_1458035955bool_a) &
% 119.51/16.28 $i(insert873085594iple_a) & $i(bot_bo1181479936a_bool) & ? [v0: $i] :
% 119.51/16.28 (hAPP_f817621513e_bool(cOMBC_2027030106e_bool, fequal_state) = v0 & $i(v0) &
% 119.51/16.28 ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 119.51/16.28 $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( ~
% 119.51/16.28 (hAPP_H1641355846a_bool(insert873085594iple_a, v6) = v7) | ~
% 119.51/16.28 (hAPP_f1591852335a_bool(v7, bot_bo1181479936a_bool) = v8) | ~
% 119.51/16.28 (hoare_1760757500iple_a(v4, v2, v3) = v6) | ~ (hoare_606018542rivs_a(v1)
% 119.51/16.28 = v5) | ~ (hAPP_f540970102l_bool(v5, v8) = v9) | ~ $i(v4) | ~ $i(v3)
% 119.51/16.28 | ~ $i(v2) | ~ $i(v1) | hBOOL(v9) | ? [v10: $i] : ? [v11: $i] : ?
% 119.51/16.28 [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ?
% 119.51/16.28 [v17: $i] : ? [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] :
% 119.51/16.28 (hAPP_s1806633685e_bool(v0, v11) = v14 & hAPP_a2036067514e_bool(v4, v10) =
% 119.51/16.28 v12 & hAPP_a2036067514e_bool(v3, v10) = v16 &
% 119.51/16.28 hAPP_f762886889e_bool(cOMBK_1458035955bool_a, v16) = v17 &
% 119.51/16.28 hAPP_f762886889e_bool(cOMBK_1458035955bool_a, v14) = v15 &
% 119.51/16.28 hAPP_H1641355846a_bool(insert873085594iple_a, v18) = v19 &
% 119.51/16.28 hAPP_f1591852335a_bool(v19, bot_bo1181479936a_bool) = v20 &
% 119.51/16.28 hoare_1760757500iple_a(v15, v2, v17) = v18 & hAPP_f540970102l_bool(v5,
% 119.51/16.28 v20) = v21 & hAPP_state_bool(v12, v11) = v13 & $i(v21) & $i(v20) &
% 119.51/16.28 $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) &
% 119.51/16.28 $i(v12) & $i(v11) & $i(v10) & hBOOL(v13) & ~ hBOOL(v21))))
% 119.51/16.28
% 119.51/16.28 (fact_313_finite_OemptyI)
% 119.51/16.28 $i(finite1655202547iple_a) & $i(bot_bo1181479936a_bool) & ? [v0: $i] :
% 119.51/16.28 (hAPP_f540970102l_bool(finite1655202547iple_a, bot_bo1181479936a_bool) = v0 &
% 119.51/16.28 $i(v0) & hBOOL(v0))
% 119.51/16.28
% 119.51/16.28 (fact_322_finite__insert)
% 119.51/16.29 $i(finite1655202547iple_a) & $i(insert873085594iple_a) & ! [v0: $i] : ! [v1:
% 119.51/16.29 $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 119.51/16.29 (hAPP_H1641355846a_bool(insert873085594iple_a, v0) = v2) | ~
% 119.51/16.29 (hAPP_f1591852335a_bool(v2, v1) = v3) | ~ $i(v1) | ~ $i(v0) | ? [v4: $i]
% 119.51/16.29 : ? [v5: $i] : ((hAPP_f540970102l_bool(finite1655202547iple_a, v3) = v5 &
% 119.51/16.29 $i(v5) & hBOOL(v5)) | (hAPP_f540970102l_bool(finite1655202547iple_a, v1)
% 119.51/16.29 = v4 & $i(v4) & ~ hBOOL(v4)))) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 119.75/16.29 $i] : ! [v3: $i] : ( ~ (hAPP_H1641355846a_bool(insert873085594iple_a, v0) =
% 119.75/16.29 v2) | ~ (hAPP_f1591852335a_bool(v2, v1) = v3) | ~ $i(v1) | ~ $i(v0) |
% 119.75/16.29 ? [v4: $i] : ? [v5: $i] : ((hAPP_f540970102l_bool(finite1655202547iple_a,
% 119.75/16.29 v3) = v4 & $i(v4) & ~ hBOOL(v4)) |
% 119.75/16.29 (hAPP_f540970102l_bool(finite1655202547iple_a, v1) = v5 & $i(v5) &
% 119.75/16.29 hBOOL(v5))))
% 119.75/16.29
% 119.75/16.29 (gsy_c_fFalse)
% 119.75/16.29 $i(fFalse) & is_bool(fFalse)
% 119.75/16.29
% 119.75/16.29 (help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Ostate_U)
% 119.75/16.29 $i(cOMBK_bool_state) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] :
% 119.75/16.29 (v3 = v0 | ~ (hAPP_b2019457360e_bool(cOMBK_bool_state, v0) = v2) | ~
% 119.75/16.29 (hAPP_state_bool(v2, v1) = v3) | ~ $i(v1) | ~ $i(v0) | ~ is_bool(v0))
% 119.75/16.29
% 119.75/16.29 (help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000t__a_U)
% 119.75/16.29 $i(cOMBK_1458035955bool_a) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 119.75/16.29 $i] : (v3 = v0 | ~ (hAPP_a2036067514e_bool(v2, v1) = v3) | ~
% 119.75/16.29 (hAPP_f762886889e_bool(cOMBK_1458035955bool_a, v0) = v2) | ~ $i(v1) | ~
% 119.75/16.29 $i(v0))
% 119.75/16.29
% 119.75/16.29 (help_fFalse_1_1_U)
% 119.75/16.29 $i(fFalse) & ~ hBOOL(fFalse)
% 119.75/16.29
% 119.75/16.29 (function-axioms)
% 120.08/16.36 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 120.08/16.36 $i] : (v1 = v0 | ~ (evaln(v5, v4, v3, v2) = v1) | ~ (evaln(v5, v4, v3, v2)
% 120.08/16.36 = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4:
% 120.08/16.36 $i] : (v1 = v0 | ~ (finite2010942150iple_a(v4, v3, v2) = v1) | ~
% 120.08/16.36 (finite2010942150iple_a(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 120.08/16.36 [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~
% 120.08/16.36 (finite929467206at_nat(v4, v3, v2) = v1) | ~ (finite929467206at_nat(v4, v3,
% 120.08/16.36 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : !
% 120.08/16.36 [v4: $i] : (v1 = v0 | ~ (finite1935632226_state(v4, v3, v2) = v1) | ~
% 120.08/16.36 (finite1935632226_state(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 120.08/16.36 [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (local(v4, v3, v2) = v1)
% 120.08/16.36 | ~ (local(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 120.08/16.36 ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (hoare_1760757500iple_a(v4, v3, v2) =
% 120.08/16.36 v1) | ~ (hoare_1760757500iple_a(v4, v3, v2) = v0)) & ! [v0: $i] : !
% 120.08/16.36 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~
% 120.08/16.36 (hoare_1575745797_state(v4, v3, v2) = v1) | ~ (hoare_1575745797_state(v4,
% 120.08/16.36 v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] :
% 120.08/16.36 (v1 = v0 | ~ (hAPP_f375255701e_bool(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_f375255701e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f963367678e_bool(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_f963367678e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_s2001034685l_bool(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_s2001034685l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1951378235l_bool(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_f1951378235l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_a849909144l_bool(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_a849909144l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_s286259371e_bool(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_s286259371e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_H226398757l_bool(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_H226398757l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_a1224971408e_bool(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_a1224971408e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1261923407e_bool(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_f1261923407e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_a1200519163e_bool(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_a1200519163e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_H1017515220l_bool(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_H1017515220l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_s1874344717e_bool(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_s1874344717e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1748468828l_bool(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_f1748468828l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_a723219176e_bool(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_a723219176e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f162060345e_bool(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_f162060345e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f746301080e_bool(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_f746301080e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_state_state(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_state_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 120.08/16.36 ! [v3: $i] : (v1 = v0 | ~ (hAPP_s1892499976_state(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_s1892499976_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f167292325e_bool(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_f167292325e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_s58564346l_bool(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_s58564346l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f2073279419e_bool(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_f2073279419e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1759915619e_bool(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_f1759915619e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_n1006566506l_bool(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_n1006566506l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_b2019457360e_bool(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_b2019457360e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1505651103t_bool(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_f1505651103t_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f618557131t_bool(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_f618557131t_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (finite1979045230a_bool(v3, v2) = v1) | ~
% 120.08/16.36 (finite1979045230a_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (finite512563852e_bool(v3, v2) = v1) | ~
% 120.08/16.36 (finite512563852e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (finite1578363458t_bool(v3, v2) = v1) | ~
% 120.08/16.36 (finite1578363458t_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (finite202520804_state(v3, v2) = v1) | ~
% 120.08/16.36 (finite202520804_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (finite978536264iple_a(v3, v2) = v1) | ~
% 120.08/16.36 (finite978536264iple_a(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (finite_fold_nat_nat(v3, v2) = v1) | ~
% 120.08/16.36 (finite_fold_nat_nat(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f450029403a_bool(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_f450029403a_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f2085120383a_bool(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_f2085120383a_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f485051996a_bool(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_f485051996a_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f2049746453e_bool(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_f2049746453e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1470644835e_bool(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_f1470644835e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f531275309e_bool(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_f531275309e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1311642927t_bool(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_f1311642927t_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1115950719t_bool(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_f1115950719t_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f10625010t_bool(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_f10625010t_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1026156344a_bool(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_f1026156344a_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1583986009e_bool(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_f1583986009e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1730770594t_bool(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_f1730770594t_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_s712361723_state(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_s712361723_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_v594194232_state(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_v594194232_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_state_nat(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_state_nat(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 120.08/16.36 ! [v3: $i] : (v1 = v0 | ~ (hAPP_nat_state(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_nat_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 120.08/16.36 ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1159960589e_bool(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_f1159960589e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f769584981e_bool(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_f769584981e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1259673775l_bool(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_f1259673775l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f644196280e_bool(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_f644196280e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f512427579e_bool(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_f512427579e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1848060885_state(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_f1848060885_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (getlocs(v3, v2) = v1) | ~ (getlocs(v3,
% 120.08/16.36 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1
% 120.08/16.36 = v0 | ~ (hAPP_n1547241352_state(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_n1547241352_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (finite1537818352iple_a(v3, v2) = v1) | ~
% 120.08/16.36 (finite1537818352iple_a(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (finite_fold1Set_nat(v3, v2) = v1) | ~
% 120.08/16.36 (finite_fold1Set_nat(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (finite9525415_state(v3, v2) = v1) | ~
% 120.08/16.36 (finite9525415_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_b589554111l_bool(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_b589554111l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_n178040171iple_a(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_n178040171iple_a(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_H1600811558iple_a(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_H1600811558iple_a(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_H678412245iple_a(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_H678412245iple_a(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_H716259088te_nat(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_H716259088te_nat(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_H738206399_a_nat(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_H738206399_a_nat(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_nat_nat(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_nat_nat(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 120.08/16.36 [v3: $i] : (v1 = v0 | ~ (hAPP_H928324994_state(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_H928324994_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (image_1821565372_state(v3, v2) = v1) | ~
% 120.08/16.36 (image_1821565372_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_n1126952044_state(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_n1126952044_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_H563960305_state(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_H563960305_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_n436597305te_nat(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_n436597305te_nat(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (image_1410872416te_nat(v3, v2) = v1) | ~
% 120.08/16.36 (image_1410872416te_nat(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_H1455657330iple_a(v3, v2) = v1) | ~
% 120.08/16.36 (hAPP_H1455657330iple_a(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.36 $i] : ! [v3: $i] : (v1 = v0 | ~ (image_306007685iple_a(v3, v2) = v1) | ~
% 120.08/16.36 (image_306007685iple_a(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_H521649881_state(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_H521649881_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (image_650584225_state(v3, v2) = v1) | ~
% 120.08/16.37 (image_650584225_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_nat_fun_nat_nat(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_nat_fun_nat_nat(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (image_nat_nat(v3, v2) = v1) | ~
% 120.08/16.37 (image_nat_nat(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 120.08/16.37 [v3: $i] : (v1 = v0 | ~ (hAPP_H558669354_state(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_H558669354_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (image_1604514514_state(v3, v2) = v1) | ~
% 120.08/16.37 (image_1604514514_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_n1800114674_a_nat(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_n1800114674_a_nat(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (image_194810223_a_nat(v3, v2) = v1) | ~
% 120.08/16.37 (image_194810223_a_nat(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_H377435237iple_a(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_H377435237iple_a(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (image_129517430iple_a(v3, v2) = v1) | ~
% 120.08/16.37 (image_129517430iple_a(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_H1450464520iple_a(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_H1450464520iple_a(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (image_1782127643iple_a(v3, v2) = v1) | ~
% 120.08/16.37 (image_1782127643iple_a(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1151843515e_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f1151843515e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f289738463e_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f289738463e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1706273077e_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f1706273077e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1838002347e_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f1838002347e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f635443597e_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f635443597e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1542232213_state(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f1542232213_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1406200875e_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f1406200875e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1460451647e_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f1460451647e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_v365393659_state(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_v365393659_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f851239890_state(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f851239890_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f871651461_state(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f871651461_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f100967412e_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f100967412e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (ass(v3, v2) = v1) | ~ (ass(v3, v2) =
% 120.08/16.37 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 |
% 120.08/16.37 ~ (hAPP_f964290431e_bool(v3, v2) = v1) | ~ (hAPP_f964290431e_bool(v3, v2) =
% 120.08/16.37 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 |
% 120.08/16.37 ~ (hAPP_f762269719e_bool(v3, v2) = v1) | ~ (hAPP_f762269719e_bool(v3, v2) =
% 120.08/16.37 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 |
% 120.08/16.37 ~ (hAPP_f854625363l_bool(v3, v2) = v1) | ~ (hAPP_f854625363l_bool(v3, v2) =
% 120.08/16.37 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 |
% 120.08/16.37 ~ (hAPP_f1548785833e_bool(v3, v2) = v1) | ~ (hAPP_f1548785833e_bool(v3, v2)
% 120.08/16.37 = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0
% 120.08/16.37 | ~ (hAPP_f1456107715e_bool(v3, v2) = v1) | ~ (hAPP_f1456107715e_bool(v3,
% 120.08/16.37 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1
% 120.08/16.37 = v0 | ~ (hAPP_f688831301t_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f688831301t_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1570313510t_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f1570313510t_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1777703707t_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f1777703707t_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f158894502t_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f158894502t_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f549683569a_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f549683569a_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1665407592a_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f1665407592a_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f430043647l_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f430043647l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f390613447a_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f390613447a_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f772297704a_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f772297704a_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (semi(v3, v2) = v1) | ~ (semi(v3, v2) =
% 120.08/16.37 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 |
% 120.08/16.37 ~ (hAPP_f2143211163_state(v3, v2) = v1) | ~ (hAPP_f2143211163_state(v3, v2)
% 120.08/16.37 = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0
% 120.08/16.37 | ~ (hAPP_f22106695ol_nat(v3, v2) = v1) | ~ (hAPP_f22106695ol_nat(v3, v2)
% 120.08/16.37 = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0
% 120.08/16.37 | ~ (hAPP_f124283079iple_a(v3, v2) = v1) | ~ (hAPP_f124283079iple_a(v3,
% 120.08/16.37 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1
% 120.08/16.37 = v0 | ~ (hAPP_f1262649863e_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f1262649863e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1443436725l_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f1443436725l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1722879237t_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f1722879237t_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f672239281a_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f672239281a_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1037965299e_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f1037965299e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1164891443l_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f1164891443l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f894608603t_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f894608603t_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f34030599a_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f34030599a_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_b1245957081e_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_b1245957081e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_b1630757474l_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_b1630757474l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_b119575286a_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_b119575286a_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_b1013836512t_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_b1013836512t_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1442918689l_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f1442918689l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1558728829l_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f1558728829l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f760664097e_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f760664097e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f857404385l_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f857404385l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1974927549l_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f1974927549l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1743029098l_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f1743029098l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1080886329l_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f1080886329l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1146629647l_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f1146629647l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f561022312t_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f561022312t_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f439164429l_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f439164429l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f997599971l_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f997599971l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1203760810a_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f1203760810a_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f262880489e_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f262880489e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f643944041l_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f643944041l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f229349961t_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f229349961t_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1371755681a_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f1371755681a_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_H1645666623e_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_H1645666623e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f633452666l_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f633452666l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f103356543l_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f103356543l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1246832597l_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f1246832597l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_n1699378549t_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_n1699378549t_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_H1190454433a_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_H1190454433a_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_H248360617l_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_H248360617l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_n215258509l_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_n215258509l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_n1512601776t_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_n1512601776t_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f800510211t_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f800510211t_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_H1840393229l_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_H1840393229l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1863945078e_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f1863945078e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f817621513e_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f817621513e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_s1806633685e_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_s1806633685e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_a2036067514e_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_a2036067514e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f762886889e_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f762886889e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1398071125e_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f1398071125e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1345202233l_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f1345202233l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1283379615l_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f1283379615l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f873506917e_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f873506917e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f701449317e_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_f701449317e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_b1095269219e_bool(v3, v2) = v1) | ~
% 120.08/16.37 (hAPP_b1095269219e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.38 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1006724181e_bool(v3, v2) = v1) | ~
% 120.08/16.38 (hAPP_f1006724181e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.38 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1561913689l_bool(v3, v2) = v1) | ~
% 120.08/16.38 (hAPP_f1561913689l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.38 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1178339559l_bool(v3, v2) = v1) | ~
% 120.08/16.38 (hAPP_f1178339559l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.38 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1509969235l_bool(v3, v2) = v1) | ~
% 120.08/16.38 (hAPP_f1509969235l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.38 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f340725611e_bool(v3, v2) = v1) | ~
% 120.08/16.38 (hAPP_f340725611e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.38 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1824947087e_bool(v3, v2) = v1) | ~
% 120.08/16.38 (hAPP_f1824947087e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.38 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_b540892988e_bool(v3, v2) = v1) | ~
% 120.08/16.38 (hAPP_b540892988e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.38 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_H727730819e_bool(v3, v2) = v1) | ~
% 120.08/16.38 (hAPP_H727730819e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.38 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f921536533e_bool(v3, v2) = v1) | ~
% 120.08/16.38 (hAPP_f921536533e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.38 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_H1641355846a_bool(v3, v2) = v1) | ~
% 120.08/16.38 (hAPP_H1641355846a_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.38 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1591852335a_bool(v3, v2) = v1) | ~
% 120.08/16.38 (hAPP_f1591852335a_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.38 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1637334154l_bool(v3, v2) = v1) | ~
% 120.08/16.38 (hAPP_f1637334154l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.38 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f54304608l_bool(v3, v2) = v1) | ~
% 120.08/16.38 (hAPP_f54304608l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.38 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1760790145l_bool(v3, v2) = v1) | ~
% 120.08/16.38 (hAPP_f1760790145l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.38 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f540970102l_bool(v3, v2) = v1) | ~
% 120.08/16.38 (hAPP_f540970102l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.38 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_nat_bool(v3, v2) = v1) | ~
% 120.08/16.38 (hAPP_nat_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 120.08/16.38 [v3: $i] : (v1 = v0 | ~ (hAPP_H513860823e_bool(v3, v2) = v1) | ~
% 120.08/16.38 (hAPP_H513860823e_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.38 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_H1421470952a_bool(v3, v2) = v1) | ~
% 120.08/16.38 (hAPP_H1421470952a_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.38 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_bool_bool(v3, v2) = v1) | ~
% 120.08/16.38 (hAPP_bool_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 120.08/16.38 ! [v3: $i] : (v1 = v0 | ~ (hAPP_state_bool(v3, v2) = v1) | ~
% 120.08/16.38 (hAPP_state_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 120.08/16.38 ! [v3: $i] : (v1 = v0 | ~ (finite795500164em_nat(v3, v2) = v1) | ~
% 120.08/16.38 (finite795500164em_nat(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.38 $i] : ! [v3: $i] : (v1 = v0 | ~ (finite506823037_state(v3, v2) = v1) | ~
% 120.08/16.38 (finite506823037_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.38 $i] : ! [v3: $i] : (v1 = v0 | ~ (finite950012314iple_a(v3, v2) = v1) | ~
% 120.08/16.38 (finite950012314iple_a(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.38 $i] : ! [v3: $i] : (v1 = v0 | ~ (finite988810631ne_nat(v3, v2) = v1) | ~
% 120.08/16.38 (finite988810631ne_nat(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.38 $i] : ! [v3: $i] : (v1 = v0 | ~ (finite774711482_state(v3, v2) = v1) | ~
% 120.08/16.38 (finite774711482_state(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.38 $i] : ! [v3: $i] : (v1 = v0 | ~ (finite1669978781iple_a(v3, v2) = v1) | ~
% 120.08/16.38 (finite1669978781iple_a(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.38 $i] : ! [v3: $i] : (v1 = v0 | ~ (big_se275732192ig_nat(v3, v2) = v1) | ~
% 120.08/16.38 (big_se275732192ig_nat(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 120.08/16.38 $i] : (v1 = v0 | ~ (partia415982977_state(v2) = v1) | ~
% 120.08/16.38 (partia415982977_state(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 120.08/16.38 : (v1 = v0 | ~ (partial_flat_lub_nat(v2) = v1) | ~ (partial_flat_lub_nat(v2)
% 120.08/16.38 = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 120.08/16.38 (partia1866111638iple_a(v2) = v1) | ~ (partia1866111638iple_a(v2) = v0)) &
% 120.08/16.38 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 120.08/16.38 (finite1382394752iple_a(v2) = v1) | ~ (finite1382394752iple_a(v2) = v0)) &
% 120.08/16.38 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 120.08/16.38 (finite1346402327_state(v2) = v1) | ~ (finite1346402327_state(v2) = v0)) &
% 120.08/16.38 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (finite_fold1_nat(v2) =
% 120.08/16.38 v1) | ~ (finite_fold1_nat(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 120.08/16.38 [v2: $i] : (v1 = v0 | ~ (hoare_560051114alid_a(v2) = v1) | ~
% 120.08/16.38 (hoare_560051114alid_a(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 120.08/16.38 : (v1 = v0 | ~ (hoare_592710359_state(v2) = v1) | ~
% 120.08/16.38 (hoare_592710359_state(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 120.08/16.38 : (v1 = v0 | ~ (hoare_Mirabelle_MGT(v2) = v1) | ~ (hoare_Mirabelle_MGT(v2) =
% 120.08/16.38 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (evalc(v2)
% 120.08/16.38 = v1) | ~ (evalc(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 120.08/16.38 (v1 = v0 | ~ (collec727977250_state(v2) = v1) | ~ (collec727977250_state(v2)
% 120.08/16.38 = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 120.08/16.38 (collect_fun_nat_bool(v2) = v1) | ~ (collect_fun_nat_bool(v2) = v0)) & !
% 120.08/16.38 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (collect_nat(v2) = v1) |
% 120.08/16.38 ~ (collect_nat(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 120.08/16.38 v0 | ~ (collec268032053iple_a(v2) = v1) | ~ (collec268032053iple_a(v2) =
% 120.08/16.38 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 120.08/16.38 (hoare_659004819_state(v2) = v1) | ~ (hoare_659004819_state(v2) = v0)) & !
% 120.08/16.38 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 120.08/16.38 (hoare_606018542rivs_a(v2) = v1) | ~ (hoare_606018542rivs_a(v2) = v0)) & !
% 120.08/16.38 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (undefined_loc(v2) = v1)
% 120.08/16.38 | ~ (undefined_loc(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 120.08/16.38 (v1 = v0 | ~ (undefined_glb(v2) = v1) | ~ (undefined_glb(v2) = v0)) & !
% 120.08/16.38 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 120.08/16.38 (finite1956789438t_bool(v2) = v1) | ~ (finite1956789438t_bool(v2) = v0)) &
% 120.08/16.38 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 120.08/16.38 (finite1317819144e_bool(v2) = v1) | ~ (finite1317819144e_bool(v2) = v0)) &
% 120.08/16.38 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 120.08/16.38 (finite419198954a_bool(v2) = v1) | ~ (finite419198954a_bool(v2) = v0)) & !
% 120.08/16.38 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 120.08/16.38 (finite1200705745iple_a(v2) = v1) | ~ (finite1200705745iple_a(v2) = v0)) &
% 120.08/16.38 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (loc(v2) = v1) | ~
% 120.08/16.38 (loc(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 120.08/16.38 (glb(v2) = v1) | ~ (glb(v2) = v0))
% 120.08/16.38
% 120.08/16.38 Further assumptions not needed in the proof:
% 120.08/16.38 --------------------------------------------
% 120.08/16.38 fact_0_empty, fact_100_insert__compr__raw, fact_101_insert__compr__raw,
% 120.08/16.38 fact_102_insert__compr__raw, fact_103_singleton__inject,
% 120.08/16.38 fact_104_singleton__inject, fact_105_singleton__inject, fact_106_singletonE,
% 120.08/16.38 fact_107_singletonE, fact_108_singletonE, fact_109_doubleton__eq__iff,
% 120.08/16.38 fact_110_doubleton__eq__iff, fact_111_doubleton__eq__iff,
% 120.08/16.38 fact_112_singleton__iff, fact_113_singleton__iff, fact_114_singleton__iff,
% 120.08/16.38 fact_115_insert__not__empty, fact_116_insert__not__empty,
% 120.08/16.38 fact_117_insert__not__empty, fact_118_empty__not__insert,
% 120.08/16.38 fact_119_empty__not__insert, fact_11_escape, fact_120_empty__not__insert,
% 120.08/16.38 fact_121_the__elem__eq, fact_122_the__elem__eq, fact_123_the__elem__eq,
% 120.08/16.38 fact_124_bot__apply, fact_125_bot__apply, fact_126_bot__apply,
% 120.08/16.38 fact_127_bot__fun__def, fact_128_bot__fun__def, fact_129_bot__fun__def,
% 120.08/16.38 fact_12_conseq2, fact_130_hoare__derivs_OSkip, fact_131_hoare__derivs_OSkip,
% 120.08/16.38 fact_132_Comp, fact_133_Comp, fact_134_triple_Oexhaust,
% 120.08/16.38 fact_135_triple_Oexhaust, fact_136_Set_Oset__insert, fact_137_Set_Oset__insert,
% 120.08/16.38 fact_138_Set_Oset__insert, fact_139_mk__disjoint__insert, fact_13_conseq2,
% 120.08/16.38 fact_140_mk__disjoint__insert, fact_141_mk__disjoint__insert, fact_142_equals0I,
% 120.08/16.38 fact_143_equals0I, fact_144_equals0I, fact_145_conseq, fact_146_conseq,
% 120.08/16.38 fact_147_com_Osimps_I13_J, fact_148_com_Osimps_I12_J, fact_149_the__elem__def,
% 120.08/16.38 fact_14_conseq1, fact_150_the__elem__def, fact_151_the__elem__def,
% 120.08/16.38 fact_152_com_Osimps_I3_J, fact_153_nonempty__iff, fact_154_nonempty__iff,
% 120.08/16.38 fact_155_nonempty__iff, fact_156_bot__empty__eq, fact_157_bot__empty__eq,
% 120.08/16.38 fact_158_bot__empty__eq, fact_159_Ass, fact_15_conseq1, fact_160_Ass,
% 120.08/16.38 fact_161_image__constant__conv, fact_162_image__constant__conv,
% 120.08/16.38 fact_163_image__constant__conv, fact_164_image__constant__conv,
% 120.08/16.38 fact_165_image__constant__conv, fact_166_image__constant__conv,
% 120.08/16.38 fact_167_image__constant__conv, fact_168_image__constant,
% 120.08/16.38 fact_169_image__constant, fact_16_conseq12, fact_170_image__constant,
% 120.08/16.38 fact_171_image__constant, fact_172_image__constant, fact_173_image__constant,
% 120.08/16.38 fact_174_image__constant, fact_175_image__constant, fact_176_image__eqI,
% 120.08/16.38 fact_177_image__eqI, fact_178_image__eqI, fact_179_image__eqI, fact_17_conseq12,
% 120.08/16.38 fact_180_image__eqI, fact_181_image__eqI, fact_182_image__eqI,
% 120.08/16.38 fact_183_image__eqI, fact_184_image__eqI, fact_185_image__ident,
% 120.08/16.38 fact_186_image__ident, fact_187_image__ident, fact_188_com_Osimps_I1_J,
% 120.08/16.38 fact_189_rev__image__eqI, fact_18_insertE, fact_190_rev__image__eqI,
% 120.08/16.38 fact_191_rev__image__eqI, fact_192_rev__image__eqI, fact_193_rev__image__eqI,
% 120.08/16.38 fact_194_rev__image__eqI, fact_195_rev__image__eqI, fact_196_rev__image__eqI,
% 120.08/16.38 fact_197_rev__image__eqI, fact_198_imageI, fact_199_imageI, fact_19_insertE,
% 120.08/16.38 fact_1_empty, fact_200_imageI, fact_201_imageI, fact_202_imageI,
% 120.08/16.38 fact_203_imageI, fact_204_imageI, fact_205_imageI, fact_206_imageI,
% 120.08/16.38 fact_207_image__iff, fact_208_image__iff, fact_209_image__iff, fact_20_insertE,
% 120.08/16.38 fact_210_image__iff, fact_211_image__iff, fact_212_image__iff,
% 120.08/16.38 fact_213_image__iff, fact_214_com_Osimps_I24_J, fact_215_com_Osimps_I25_J,
% 120.08/16.38 fact_216_com_Osimps_I8_J, fact_217_com_Osimps_I9_J, fact_218_image__is__empty,
% 120.08/16.38 fact_219_image__is__empty, fact_21_insertCI, fact_220_image__is__empty,
% 120.08/16.38 fact_221_image__is__empty, fact_222_image__empty, fact_223_image__empty,
% 120.08/16.38 fact_224_image__empty, fact_225_image__empty, fact_226_empty__is__image,
% 120.08/16.38 fact_227_empty__is__image, fact_228_empty__is__image, fact_229_empty__is__image,
% 120.08/16.38 fact_22_insertCI, fact_230_mem__def, fact_231_mem__def, fact_232_Collect__def,
% 120.08/16.38 fact_233_Collect__def, fact_234_insert__image, fact_235_insert__image,
% 120.08/16.38 fact_236_image__insert, fact_237_image__insert, fact_238_image__insert,
% 120.08/16.38 fact_239_image__insert, fact_23_insertCI, fact_240_the__sym__eq__trivial,
% 120.08/16.38 fact_241_the__eq__trivial, fact_242_If__def, fact_243_fold1Set__sing,
% 120.08/16.38 fact_244_fold1Set__sing, fact_245_fold1Set__sing, fact_246_the__equality,
% 120.08/16.38 fact_247_folding__one_Osingleton, fact_248_folding__one_Osingleton,
% 120.08/16.38 fact_249_folding__one_Osingleton, fact_24_emptyE, fact_250_hoare__derivs_OLocal,
% 120.08/16.38 fact_251_hoare__derivs_OLocal, fact_252_vname_Osimps_I2_J,
% 120.08/16.38 fact_253_com_Osimps_I2_J, fact_254_com_Osimps_I34_J, fact_255_com_Osimps_I35_J,
% 120.08/16.38 fact_256_com_Osimps_I23_J, fact_257_com_Osimps_I22_J, fact_258_com_Osimps_I11_J,
% 120.08/16.38 fact_259_com_Osimps_I10_J, fact_25_emptyE, fact_260_empty__fold1SetE,
% 120.08/16.38 fact_261_empty__fold1SetE, fact_262_empty__fold1SetE,
% 120.08/16.38 fact_263_fold1Set__nonempty, fact_264_fold1Set__nonempty,
% 120.08/16.38 fact_265_fold1Set__nonempty, fact_266_theI, fact_267_the1__equality,
% 120.08/16.38 fact_268_theI_H, fact_269_evalc_OLocal, fact_26_emptyE, fact_270_evaln_OLocal,
% 120.08/16.38 fact_271_fold1Set_Ointros, fact_272_fold1Set_Ointros, fact_273_fold1Set_Ointros,
% 120.08/16.38 fact_274_evaln_OSemi, fact_275_evaln_OSkip, fact_276_evaln__elim__cases_I1_J,
% 120.08/16.38 fact_277_evalc_OSemi, fact_278_evalc_OSkip, fact_279_evalc__elim__cases_I1_J,
% 120.08/16.38 fact_27_singleton__conv2, fact_280_evaln_OAssign,
% 120.08/16.38 fact_281_evaln__elim__cases_I2_J, fact_282_evalc_OAssign,
% 120.08/16.38 fact_283_evalc__elim__cases_I2_J, fact_284_eval__eq, fact_285_com__det,
% 120.08/16.38 fact_286_evaln__evalc, fact_287_empty__fold__graphE,
% 120.08/16.38 fact_288_fold__graph_OemptyI, fact_289_fold__graph_OinsertI,
% 120.08/16.38 fact_28_singleton__conv2, fact_290_evalc__elim__cases_I3_J,
% 120.08/16.38 fact_291_evaln__elim__cases_I3_J, fact_292_evalc__elim__cases_I4_J,
% 120.08/16.38 fact_293_evaln__elim__cases_I4_J, fact_294_insert__fold1SetE,
% 120.08/16.38 fact_295_insert__fold1SetE, fact_296_insert__fold1SetE, fact_297_MGT__def,
% 120.08/16.38 fact_298_evalc__evaln, fact_299_fold1Set_Osimps, fact_29_singleton__conv2,
% 120.08/16.38 fact_2_triple_Oinject, fact_300_fold1Set_Osimps, fact_301_fold1Set_Osimps,
% 120.08/16.38 fact_302_fold__graph_Osimps, fact_303_evaln__max2, fact_304_triple__valid__def2,
% 120.08/16.38 fact_305_triple__valid__def2, fact_306_folding__one_Oinsert,
% 120.08/16.38 fact_307_folding__one_Oinsert, fact_308_folding__one_Oinsert,
% 120.08/16.38 fact_309_finite__Collect__conjI, fact_30_singleton__conv2,
% 120.08/16.38 fact_310_finite__Collect__conjI, fact_311_finite_OemptyI,
% 120.08/16.38 fact_312_finite_OemptyI, fact_314_finite_OinsertI, fact_315_finite_OinsertI,
% 120.08/16.38 fact_316_finite_OinsertI, fact_317_finite__Collect__disjI,
% 120.08/16.38 fact_318_finite__Collect__disjI, fact_319_vname_Osimps_I1_J,
% 120.08/16.38 fact_31_singleton__conv, fact_320_finite__insert, fact_321_finite__insert,
% 120.08/16.38 fact_323_vname_Osimps_I4_J, fact_324_vname_Osimps_I3_J,
% 120.08/16.38 fact_325_folding__one_Oclosed, fact_326_folding__one_Oclosed,
% 120.08/16.38 fact_327_folding__one_Oclosed, fact_328_finite__nonempty__imp__fold1Set,
% 120.08/16.38 fact_329_finite__nonempty__imp__fold1Set, fact_32_singleton__conv,
% 120.08/16.38 fact_330_finite__nonempty__imp__fold1Set, fact_331_finite__induct,
% 120.08/16.38 fact_332_finite__induct, fact_333_finite__induct, fact_334_finite_Osimps,
% 120.08/16.38 fact_335_finite_Osimps, fact_336_finite_Osimps,
% 120.08/16.38 fact_337_finite__imp__fold__graph, fact_338_folding__one__idem_Oinsert__idem,
% 120.08/16.38 fact_339_folding__one__idem_Oinsert__idem, fact_33_singleton__conv,
% 120.08/16.38 fact_340_folding__one__idem_Oinsert__idem, fact_341_finite__ne__induct,
% 120.08/16.38 fact_342_finite__ne__induct, fact_343_finite__ne__induct,
% 120.08/16.38 fact_344_vname_Oexhaust, fact_345_folding__one_Oremove,
% 120.08/16.38 fact_346_folding__one_Oremove, fact_347_folding__one_Oremove,
% 120.08/16.38 fact_348_folding__one_Oinsert__remove, fact_349_folding__one_Oinsert__remove,
% 120.08/16.38 fact_34_singleton__conv, fact_350_folding__one_Oinsert__remove, fact_351_DiffE,
% 120.08/16.38 fact_352_DiffE, fact_353_DiffI, fact_354_DiffI, fact_355_finite__Diff,
% 120.08/16.38 fact_356_DiffD2, fact_357_DiffD2, fact_358_DiffD1, fact_359_DiffD1,
% 120.08/16.38 fact_35_Collect__conv__if2, fact_360_Diff__iff, fact_361_Diff__iff,
% 120.08/16.38 fact_362_set__diff__eq, fact_363_set__diff__eq, fact_364_Diff__cancel,
% 120.08/16.38 fact_365_Diff__cancel, fact_366_Diff__cancel, fact_367_Diff__empty,
% 120.08/16.38 fact_368_Diff__empty, fact_369_Diff__empty, fact_36_Collect__conv__if2,
% 120.08/16.38 fact_370_empty__Diff, fact_371_empty__Diff, fact_372_empty__Diff,
% 120.08/16.38 fact_373_finite__Diff2, fact_374_insert__Diff1, fact_375_insert__Diff1,
% 120.08/16.38 fact_376_insert__Diff1, fact_377_insert__Diff__if, fact_378_insert__Diff__if,
% 120.08/16.38 fact_379_insert__Diff__if, fact_37_Collect__conv__if2, fact_380_insert__Diff,
% 120.08/16.38 fact_381_insert__Diff, fact_382_insert__Diff, fact_383_Diff__insert__absorb,
% 120.08/16.38 fact_384_Diff__insert__absorb, fact_385_Diff__insert__absorb,
% 120.08/16.38 fact_386_insert__Diff__single, fact_387_insert__Diff__single,
% 120.08/16.38 fact_388_insert__Diff__single, fact_389_Diff__insert2,
% 120.08/16.38 fact_38_Collect__conv__if2, fact_390_Diff__insert2, fact_391_Diff__insert2,
% 120.08/16.38 fact_392_Diff__insert, fact_393_Diff__insert, fact_394_Diff__insert,
% 120.08/16.38 fact_395_finite__Diff__insert, fact_396_finite__Diff__insert,
% 120.08/16.38 fact_397_finite__Diff__insert, fact_398_folding__one__idem_Oin__idem,
% 120.08/16.38 fact_399_folding__one__idem_Oin__idem, fact_39_Collect__conv__if,
% 120.08/16.38 fact_3_triple_Oinject, fact_400_folding__one__idem_Ohom__commute,
% 120.08/16.38 fact_401_folding__one__idem_Ohom__commute,
% 120.08/16.38 fact_402_folding__one__idem_Ohom__commute, fact_403_finite__empty__induct,
% 120.08/16.38 fact_404_finite__empty__induct, fact_405_finite__empty__induct,
% 120.08/16.38 fact_406_comp__fun__idem__remove, fact_407_comp__fun__idem__remove,
% 120.08/16.38 fact_408_comp__fun__idem__remove,
% 120.08/16.38 fact_409_comp__fun__commute_Ofold__graph__insertE__aux,
% 120.08/16.38 fact_40_Collect__conv__if, fact_410_fold__graph__permute__diff,
% 120.08/16.38 fact_411_comp__fun__idem__insert, fact_412_comp__fun__idem__insert,
% 120.08/16.38 fact_413_comp__fun__idem__insert,
% 120.08/16.38 fact_414_comp__fun__commute_Ofold__graph__determ,
% 120.08/16.38 fact_415_fold__graph__insert__swap,
% 120.08/16.38 fact_416_comp__fun__commute_Ofold__graph__insertE, fact_417_fold1__insert,
% 120.08/16.38 fact_418_fold1__eq__fold, fact_419_fold1__singleton, fact_41_Collect__conv__if,
% 120.08/16.38 fact_420_fold1__singleton, fact_421_fold1__singleton,
% 120.08/16.38 fact_422_fold1__singleton__def, fact_423_fold1__singleton__def,
% 120.08/16.38 fact_424_fold1__singleton__def, fact_425_comp__fun__commute_Ofold__equality,
% 120.08/16.38 fact_426_fold__def, fact_427_folding__one_Oeq__fold,
% 120.08/16.38 fact_428_folding__one_Oeq__fold, fact_429_folding__one_Oeq__fold_H,
% 120.08/16.38 fact_42_Collect__conv__if, fact_430_folding__one_Oeq__fold_H,
% 120.08/16.38 fact_431_folding__one_Oeq__fold_H,
% 120.08/16.38 fact_432_folding__one__idem_Oeq__fold__idem_H,
% 120.08/16.38 fact_433_folding__one__idem_Oeq__fold__idem_H,
% 120.08/16.38 fact_434_folding__one__idem_Oeq__fold__idem_H,
% 120.08/16.38 fact_435_comp__fun__commute_Ofold__graph__fold, fact_436_fold1__def,
% 120.08/16.38 fact_437_minus__fold__remove, fact_438_minus__fold__remove,
% 120.08/16.38 fact_439_minus__fold__remove, fact_43_equals0D, fact_440_fold1__in,
% 120.08/16.38 fact_441_semilattice__big_OF__eq, fact_442_folding__one__idem_Osubset__idem,
% 120.08/16.38 fact_443_folding__one__idem_Osubset__idem,
% 120.08/16.38 fact_444_folding__one__idem_Osubset__idem, fact_445_order__refl,
% 120.08/16.38 fact_446_subsetD, fact_447_subsetD, fact_448_UnCI, fact_449_UnCI,
% 120.08/16.38 fact_44_equals0D, fact_450_UnE, fact_451_UnE, fact_452_empty__subsetI,
% 120.08/16.38 fact_453_empty__subsetI, fact_454_empty__subsetI,
% 120.08/16.38 fact_455_finite__Collect__subsets, fact_456_sup__le__fold__sup,
% 120.08/16.38 fact_457_subset__empty, fact_458_subset__empty, fact_459_subset__empty,
% 120.08/16.38 fact_45_equals0D, fact_460_rev__finite__subset, fact_461_finite__subset,
% 120.08/16.38 fact_462_subset__insertI, fact_463_subset__insertI, fact_464_subset__insertI,
% 120.08/16.38 fact_465_insert__subset, fact_466_insert__subset, fact_467_insert__subset,
% 120.08/16.38 fact_468_subset__insert, fact_469_subset__insert, fact_46_Collect__empty__eq,
% 120.08/16.38 fact_470_subset__insert, fact_471_subset__insertI2, fact_472_subset__insertI2,
% 120.08/16.38 fact_473_subset__insertI2, fact_474_insert__mono, fact_475_insert__mono,
% 120.08/16.38 fact_476_insert__mono, fact_477_le__supE, fact_478_sup__mono,
% 120.08/16.38 fact_479_sup__least, fact_47_Collect__empty__eq, fact_480_le__supI,
% 120.08/16.38 fact_481_sup__absorb1, fact_482_sup__absorb2, fact_483_le__supI2,
% 120.08/16.38 fact_484_le__supI1, fact_485_le__sup__iff, fact_486_le__iff__sup,
% 120.08/16.38 fact_487_sup__ge2, fact_488_inf__sup__ord_I4_J, fact_489_sup__ge1,
% 120.08/16.38 fact_48_Collect__empty__eq, fact_490_inf__sup__ord_I3_J,
% 120.08/16.38 fact_491_sup__eq__bot__iff, fact_492_sup__eq__bot__iff,
% 120.08/16.38 fact_493_sup__eq__bot__iff, fact_494_sup__eq__bot__iff,
% 120.08/16.38 fact_495_sup__bot__right, fact_496_sup__bot__right, fact_497_sup__bot__right,
% 120.08/16.38 fact_498_sup__bot__right, fact_499_sup__bot__left, fact_49_Collect__empty__eq,
% 120.08/16.38 fact_4_cut, fact_500_sup__bot__left, fact_501_sup__bot__left,
% 120.08/16.38 fact_502_sup__bot__left, fact_503_Un__empty__left, fact_504_Un__empty__left,
% 120.08/16.38 fact_505_Un__empty__left, fact_506_Un__empty__right, fact_507_Un__empty__right,
% 120.08/16.38 fact_508_Un__empty__right, fact_509_Un__empty, fact_50_empty__iff,
% 120.08/16.38 fact_510_Un__empty, fact_511_Un__empty, fact_512_finite__Un,
% 120.08/16.38 fact_513_finite__UnI, fact_514_linorder__le__cases, fact_515_xt1_I6_J,
% 120.08/16.38 fact_516_xt1_I5_J, fact_517_order__trans, fact_518_order__antisym,
% 120.08/16.38 fact_519_xt1_I4_J, fact_51_empty__iff, fact_520_ord__le__eq__trans,
% 120.08/16.38 fact_521_xt1_I3_J, fact_522_ord__eq__le__trans, fact_523_order__antisym__conv,
% 120.08/16.38 fact_524_order__eq__refl, fact_525_order__eq__iff, fact_526_linorder__linear,
% 120.08/16.38 fact_527_Collect__disj__eq, fact_528_Collect__disj__eq, fact_529_set__mp,
% 120.08/16.38 fact_52_empty__iff, fact_530_set__mp, fact_531_set__rev__mp,
% 120.08/16.38 fact_532_set__rev__mp, fact_533_in__mono, fact_534_in__mono, fact_535_UnI2,
% 120.08/16.38 fact_536_UnI2, fact_537_UnI1, fact_538_UnI1, fact_539_Un__iff,
% 120.08/16.38 fact_53_empty__Collect__eq, fact_540_Un__iff, fact_541_Un__def,
% 120.08/16.38 fact_542_Un__def, fact_543_pred__subset__eq, fact_544_pred__subset__eq,
% 120.08/16.38 fact_545_sup__Un__eq, fact_546_sup__Un__eq, fact_547_bot__least,
% 120.08/16.38 fact_548_bot__least, fact_549_bot__least, fact_54_empty__Collect__eq,
% 120.08/16.38 fact_550_bot__least, fact_551_bot__least, fact_552_bot__unique,
% 120.08/16.38 fact_553_bot__unique, fact_554_bot__unique, fact_555_bot__unique,
% 120.08/16.38 fact_556_bot__unique, fact_557_le__bot, fact_558_le__bot, fact_559_le__bot,
% 120.08/16.38 fact_55_empty__Collect__eq, fact_560_le__bot, fact_561_le__bot,
% 120.08/16.38 fact_562_Un__insert__right, fact_563_Un__insert__right,
% 120.08/16.38 fact_564_Un__insert__right, fact_565_Un__insert__left,
% 120.08/16.38 fact_566_Un__insert__left, fact_567_Un__insert__left, fact_568_weaken,
% 120.08/16.38 fact_569_weaken, fact_56_empty__Collect__eq, fact_570_asm, fact_571_asm,
% 120.08/16.38 fact_572_insert__def, fact_573_insert__def, fact_574_insert__def,
% 120.08/16.38 fact_575_insert__is__Un, fact_576_insert__is__Un, fact_577_insert__is__Un,
% 120.08/16.38 fact_578_fold__sup__insert, fact_579_union__fold__insert, fact_57_ex__in__conv,
% 120.08/16.38 fact_580_union__fold__insert, fact_581_union__fold__insert,
% 120.08/16.38 fact_582_subset__singletonD, fact_583_subset__singletonD,
% 120.08/16.38 fact_584_subset__singletonD, fact_585_diff__single__insert,
% 120.08/16.38 fact_586_diff__single__insert, fact_587_diff__single__insert,
% 120.08/16.38 fact_588_subset__insert__iff, fact_589_subset__insert__iff,
% 120.08/16.38 fact_58_ex__in__conv, fact_590_subset__insert__iff,
% 120.08/16.38 fact_591_folding__one__idem_Ounion__idem,
% 120.08/16.38 fact_592_folding__one__idem_Ounion__idem,
% 120.08/16.38 fact_593_folding__one__idem_Ounion__idem, fact_594_fold__sup__le__sup,
% 120.08/16.38 fact_595_finite__subset__induct, fact_596_finite__subset__induct,
% 120.08/16.38 fact_597_finite__subset__induct, fact_598_subsetI, fact_599_subsetI,
% 120.08/16.38 fact_59_ex__in__conv, fact_5_cut, fact_600_evaln__nonstrict,
% 120.08/16.38 fact_601_finite__Collect__le__nat, fact_602_flat__lub__def,
% 120.08/16.38 fact_603_flat__lub__def, fact_604_flat__lub__def,
% 120.08/16.38 fact_605_finite__nat__set__iff__bounded__le, fact_606_finite__less__ub,
% 120.08/16.38 fact_607_Sup__fin_Oremove, fact_608_Sup__fin_Osingleton,
% 120.08/16.38 fact_609_Sup__fin_Oin__idem, fact_60_all__not__in__conv,
% 120.08/16.38 fact_610_Sup__fin_OF__eq, fact_611_Sup__fin_Oinsert__idem,
% 120.08/16.38 fact_612_Sup__fin_Oinsert, fact_613_Sup__fin_Osubset__idem,
% 120.08/16.38 fact_614_Sup__fin_Ounion__idem, fact_615_Sup__fin_Oeq__fold__idem_H,
% 120.08/16.38 fact_616_Sup__fin_Oeq__fold_H, fact_617_Sup__fin_Oinsert__remove,
% 120.08/16.38 fact_618_Sup__fin_Ohom__commute, fact_619_Sup__fin_Oclosed,
% 120.08/16.38 fact_61_all__not__in__conv, fact_620_Sup__fin_Ounion__disjoint, fact_621_IntI,
% 120.08/16.38 fact_622_IntI, fact_623_IntE, fact_624_IntE, fact_625_finite__Int,
% 120.08/16.38 fact_626_le__infE, fact_627_inf__mono, fact_628_inf__greatest,
% 120.08/16.38 fact_629_le__infI, fact_62_all__not__in__conv, fact_630_inf__absorb2,
% 120.08/16.38 fact_631_inf__absorb1, fact_632_le__infI2, fact_633_le__infI1,
% 120.08/16.38 fact_634_le__inf__iff, fact_635_le__iff__inf, fact_636_inf__le2,
% 120.08/16.38 fact_637_inf__sup__ord_I2_J, fact_638_inf__le1, fact_639_inf__sup__ord_I1_J,
% 120.08/16.38 fact_63_empty__def, fact_640_distrib__sup__le, fact_641_distrib__inf__le,
% 120.08/16.38 fact_642_Int__insert__left__if1, fact_643_Int__insert__left__if1,
% 120.08/16.38 fact_644_Int__insert__left__if1, fact_645_Int__insert__right__if1,
% 120.08/16.38 fact_646_Int__insert__right__if1, fact_647_Int__insert__right__if1,
% 120.08/16.38 fact_648_Int__insert__left__if0, fact_649_Int__insert__left__if0,
% 120.08/16.38 fact_64_empty__def, fact_650_Int__insert__left__if0,
% 120.08/16.38 fact_651_Int__insert__right__if0, fact_652_Int__insert__right__if0,
% 120.08/16.38 fact_653_Int__insert__right__if0, fact_654_insert__inter__insert,
% 120.08/16.38 fact_655_insert__inter__insert, fact_656_insert__inter__insert,
% 120.08/16.38 fact_657_Int__insert__left, fact_658_Int__insert__left,
% 120.08/16.38 fact_659_Int__insert__left, fact_65_empty__def, fact_660_Int__insert__right,
% 120.08/16.38 fact_661_Int__insert__right, fact_662_Int__insert__right, fact_663_inf__Int__eq,
% 120.08/16.38 fact_664_inf__Int__eq, fact_665_Collect__conj__eq, fact_666_Collect__conj__eq,
% 120.08/16.38 fact_667_Int__Collect, fact_668_Int__Collect, fact_669_Int__def,
% 120.08/16.38 fact_66_empty__def, fact_670_Int__def, fact_671_Int__iff, fact_672_Int__iff,
% 120.08/16.38 fact_673_IntD1, fact_674_IntD1, fact_675_IntD2, fact_676_IntD2,
% 120.08/16.38 fact_677_disjoint__iff__not__equal, fact_678_disjoint__iff__not__equal,
% 120.08/16.38 fact_679_disjoint__iff__not__equal, fact_67_insert__absorb,
% 120.08/16.38 fact_680_Int__empty__right, fact_681_Int__empty__right,
% 120.08/16.38 fact_682_Int__empty__right, fact_683_Int__empty__left,
% 120.08/16.38 fact_684_Int__empty__left, fact_685_Int__empty__left, fact_686_inf__bot__left,
% 120.08/16.38 fact_687_inf__bot__left, fact_688_inf__bot__left, fact_689_inf__bot__left,
% 120.08/16.38 fact_68_insert__absorb, fact_690_inf__bot__right, fact_691_inf__bot__right,
% 120.08/16.38 fact_692_inf__bot__right, fact_693_inf__bot__right, fact_694_Diff__triv,
% 120.08/16.38 fact_695_Diff__triv, fact_696_Diff__triv, fact_697_Diff__disjoint,
% 120.08/16.38 fact_698_Diff__disjoint, fact_699_Diff__disjoint, fact_69_insert__absorb,
% 120.08/16.38 fact_6_hoare__derivs_Oinsert, fact_70_insertI2, fact_71_insertI2,
% 120.08/16.38 fact_72_insertI2, fact_73_insert__ident, fact_74_insert__ident,
% 120.08/16.38 fact_75_insert__ident, fact_76_insert__code, fact_77_insert__code,
% 120.08/16.38 fact_78_insert__code, fact_79_insert__iff, fact_7_hoare__derivs_Oinsert,
% 120.08/16.38 fact_80_insert__iff, fact_81_insert__iff, fact_82_insert__commute,
% 120.08/16.38 fact_83_insert__commute, fact_84_insert__commute, fact_85_insert__absorb2,
% 120.08/16.38 fact_86_insert__absorb2, fact_87_insert__absorb2, fact_88_insert__Collect,
% 120.08/16.38 fact_89_insert__Collect, fact_8_constant, fact_90_insert__Collect,
% 120.08/16.38 fact_91_insert__Collect, fact_92_insert__compr, fact_93_insert__compr,
% 120.08/16.38 fact_94_insert__compr, fact_95_insert__compr, fact_96_insertI1,
% 120.08/16.38 fact_97_insertI1, fact_98_insertI1, fact_99_insert__compr__raw, fact_9_constant,
% 120.08/16.38 gsy_c_Big__Operators_Osemilattice__big_000tc__Nat__Onat, gsy_c_Com_Ovname_OGlb,
% 120.08/16.38 gsy_c_Com_Ovname_OLoc,
% 120.08/16.38 gsy_c_Finite__Set_Ocomp__fun__commute_000tc__Hoare____Mirabelle____ddpglwnxwg__O,
% 120.08/16.38 gsy_c_Finite__Set_Ocomp__fun__idem_000tc__Hoare____Mirabelle____ddpglwnxwg__Otri,
% 120.08/16.38 gsy_c_Finite__Set_Ocomp__fun__idem_000tc__Hoare____Mirabelle____ddpglwnxwg__Otri_001,
% 120.08/16.38 gsy_c_Finite__Set_Ocomp__fun__idem_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mt,
% 120.08/16.38 gsy_c_Finite__Set_Ofolding__one_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple,
% 120.08/16.38 gsy_c_Finite__Set_Ofolding__one_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_002,
% 120.08/16.38 gsy_c_Finite__Set_Ofolding__one_000tc__Nat__Onat,
% 120.08/16.38 gsy_c_Finite__Set_Ofolding__one__idem_000tc__Hoare____Mirabelle____ddpglwnxwg__O,
% 120.08/16.38 gsy_c_Finite__Set_Ofolding__one__idem_000tc__Hoare____Mirabelle____ddpglwnxwg__O_003,
% 120.08/16.38 gsy_c_Finite__Set_Ofolding__one__idem_000tc__Nat__Onat,
% 120.08/16.38 gsy_c_HOL_Oundefined_000tc__Com__Oglb, gsy_c_HOL_Oundefined_000tc__Com__Oloc,
% 120.08/16.38 gsy_c_Natural_Oevaln, gsy_c_Orderings_Obot__class_Obot_000tc__HOL__Obool,
% 120.08/16.38 gsy_c_fTrue, gsy_c_hAPP_000tc__Com__Ostate_000tc__HOL__Obool,
% 120.08/16.38 gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool,
% 120.08/16.38 gsy_c_hAPP_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_It__a_J_000tc__HOL__,
% 120.08/16.38 gsy_c_hAPP_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com__Ostate_J_0,
% 120.08/16.38 gsy_c_hAPP_000tc__Nat__Onat_000tc__HOL__Obool,
% 120.08/16.38 gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple_It__a_J_Mtc,
% 120.08/16.38 gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com__O,
% 120.08/16.38 gsy_c_hAPP_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__HOL__Obool,
% 120.08/16.38 gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_Mtc__HOL__Obool_,
% 120.08/16.38 help_COMBB_1_1_COMBB_000tc__Com__Ostate_000tc__HOL__Obool_000tc__Com__Ostate_U,
% 120.08/16.38 help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Com__Ostate_U,
% 120.08/16.38 help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Hoare____Mirabel,
% 120.08/16.38 help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Hoare____Mirabel_009,
% 120.08/16.38 help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Nat__Onat_U,
% 120.08/16.38 help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__Nat__On,
% 120.08/16.38 help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo,
% 120.08/16.38 help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_004,
% 120.08/16.38 help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_011,
% 120.08/16.38 help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_014,
% 120.08/16.38 help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_017,
% 120.08/16.38 help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_,
% 120.08/16.38 help_COMBB_1_1_COMBB_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000tc__fun_It,
% 120.08/16.38 help_COMBB_1_1_COMBB_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000tc__fun_It_012,
% 120.08/16.38 help_COMBB_1_1_COMBB_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000tc__fun_It_016,
% 120.08/16.38 help_COMBB_1_1_COMBB_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000tc__fun_It_021,
% 120.08/16.38 help_COMBB_1_1_COMBB_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000tc__fun_It_022,
% 120.08/16.38 help_COMBB_1_1_COMBB_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000tc__fun_It_025,
% 120.08/16.38 help_COMBB_1_1_COMBB_000tc__fun_Itc__Com__Ostate_Mtc__fun_Itc__HOL__Obool_Mtc__H,
% 120.08/16.38 help_COMBB_1_1_COMBB_000tc__fun_Itc__Com__Ostate_Mtc__fun_Itc__HOL__Obool_Mtc__H_024,
% 120.08/16.38 help_COMBB_1_1_COMBB_000tc__fun_Itc__Com__Ostate_Mtc__fun_Itc__HOL__Obool_Mtc__H_028,
% 120.08/16.38 help_COMBB_1_1_COMBB_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple_I,
% 120.08/16.38 help_COMBB_1_1_COMBB_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple_I_026,
% 120.08/16.38 help_COMBB_1_1_COMBB_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple_I_032,
% 120.08/16.38 help_COMBB_1_1_COMBB_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple_I_033,
% 120.08/16.38 help_COMBB_1_1_COMBB_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__HOL__Obo,
% 120.08/16.38 help_COMBB_1_1_COMBB_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__fun_Itc_,
% 120.08/16.38 help_COMBC_1_1_COMBC_000t__a_000tc__HOL__Obool_000tc__fun_Itc__Com__Ostate_Mtc__,
% 120.08/16.38 help_COMBC_1_1_COMBC_000t__a_000tc__fun_Itc__Com__Ostate_Mtc__Com__Ostate_J_000t,
% 120.08/16.38 help_COMBC_1_1_COMBC_000t__a_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000tc,
% 120.08/16.38 help_COMBC_1_1_COMBC_000tc__Com__Ostate_000tc__Com__Ostate_000tc__HOL__Obool_U,
% 120.08/16.38 help_COMBC_1_1_COMBC_000tc__Com__Ostate_000tc__Com__Ovname_000tc__fun_Itc__Nat__,
% 120.08/16.38 help_COMBC_1_1_COMBC_000tc__Com__Ostate_000tc__HOL__Obool_000tc__HOL__Obool_U,
% 120.08/16.38 help_COMBC_1_1_COMBC_000tc__Com__Ostate_000tc__HOL__Obool_000tc__fun_Itc__Com__O,
% 120.08/16.38 help_COMBC_1_1_COMBC_000tc__Com__Ostate_000tc__Nat__Onat_000tc__Com__Ostate_U,
% 120.08/16.38 help_COMBC_1_1_COMBC_000tc__Com__Ostate_000tc__fun_Itc__Com__Ostate_Mtc__Com__Os,
% 120.08/16.38 help_COMBC_1_1_COMBC_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_It__a_J_00,
% 120.08/16.38 help_COMBC_1_1_COMBC_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_It__a_J_00_023,
% 120.08/16.38 help_COMBC_1_1_COMBC_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_It__a_J_00_029,
% 120.08/16.38 help_COMBC_1_1_COMBC_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com__,
% 120.08/16.38 help_COMBC_1_1_COMBC_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com___027,
% 120.08/16.38 help_COMBC_1_1_COMBC_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com___030,
% 120.08/16.38 help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__Nat__Onat_000tc__HOL__Obool_U,
% 120.08/16.38 help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_,
% 120.08/16.38 help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool__010,
% 120.08/16.38 help_COMBC_1_1_COMBC_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple_I,
% 120.08/16.38 help_COMBC_1_1_COMBC_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple_I_031,
% 120.08/16.38 help_COMBC_1_1_COMBC_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__fun_Itc_,
% 120.08/16.38 help_COMBC_1_1_COMBC_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__fun_Itc__018,
% 120.08/16.38 help_COMBC_1_1_COMBC_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__fun_Itc__019,
% 120.08/16.38 help_COMBI_1_1_COMBI_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_It__a_J_U,
% 120.08/16.38 help_COMBI_1_1_COMBI_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com__,
% 120.08/16.38 help_COMBI_1_1_COMBI_000tc__Nat__Onat_U,
% 120.08/16.38 help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Hoare____Mirabelle____ddpglwnxwg__,
% 120.08/16.38 help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Hoare____Mirabelle____ddpglwnxwg___006,
% 120.08/16.38 help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Nat__Onat_U,
% 120.08/16.38 help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool,
% 120.08/16.38 help_COMBK_1_1_COMBK_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_It__a_J_00,
% 120.08/16.38 help_COMBK_1_1_COMBK_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_It__a_J_00_013,
% 120.08/16.38 help_COMBK_1_1_COMBK_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_It__a_J_00_015,
% 120.08/16.38 help_COMBK_1_1_COMBK_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com__,
% 120.08/16.38 help_COMBK_1_1_COMBK_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com___020,
% 120.08/16.38 help_COMBK_1_1_COMBK_000tc__Nat__Onat_000tc__Hoare____Mirabelle____ddpglwnxwg__O,
% 120.08/16.38 help_COMBK_1_1_COMBK_000tc__Nat__Onat_000tc__Hoare____Mirabelle____ddpglwnxwg__O_005,
% 120.08/16.38 help_COMBK_1_1_COMBK_000tc__Nat__Onat_000tc__Nat__Onat_U,
% 120.08/16.38 help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000tc__Com__O,
% 120.08/16.38 help_COMBS_1_1_COMBS_000tc__Com__Ostate_000tc__HOL__Obool_000tc__HOL__Obool_U,
% 120.08/16.38 help_COMBS_1_1_COMBS_000tc__Com__Ostate_000tc__Nat__Onat_000tc__Com__Ostate_U,
% 120.08/16.38 help_COMBS_1_1_COMBS_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_It__a_J_00,
% 120.08/16.38 help_COMBS_1_1_COMBS_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com__,
% 120.08/16.38 help_COMBS_1_1_COMBS_000tc__Nat__Onat_000tc__HOL__Obool_000tc__HOL__Obool_U,
% 120.08/16.38 help_COMBS_1_1_COMBS_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__HOL__Obo,
% 120.08/16.39 help_fFalse_1_1_T, help_fNot_1_1_U, help_fNot_2_1_U, help_fconj_1_1_U,
% 120.08/16.39 help_fconj_2_1_U, help_fconj_3_1_U, help_fdisj_1_1_U, help_fdisj_2_1_U,
% 120.08/16.39 help_fdisj_3_1_U, help_fequal_1_1_fequal_000tc__Com__Ostate_T,
% 120.08/16.39 help_fequal_1_1_fequal_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_It__a_J_,
% 120.08/16.39 help_fequal_1_1_fequal_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com,
% 120.08/16.39 help_fequal_1_1_fequal_000tc__Nat__Onat_T,
% 120.08/16.39 help_fequal_1_1_fequal_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple,
% 120.08/16.39 help_fequal_1_1_fequal_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple_007,
% 120.08/16.39 help_fequal_1_1_fequal_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_T,
% 120.08/16.39 help_fequal_2_1_fequal_000tc__Com__Ostate_T,
% 120.08/16.39 help_fequal_2_1_fequal_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_It__a_J_,
% 120.08/16.39 help_fequal_2_1_fequal_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com,
% 120.08/16.39 help_fequal_2_1_fequal_000tc__Nat__Onat_T,
% 120.08/16.39 help_fequal_2_1_fequal_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple,
% 120.08/16.39 help_fequal_2_1_fequal_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple_008,
% 120.08/16.39 help_fequal_2_1_fequal_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_T,
% 120.08/16.39 help_fimplies_1_1_U, help_fimplies_2_1_U, help_fimplies_3_1_U
% 120.08/16.39
% 120.08/16.39 Those formulas are unsatisfiable:
% 120.08/16.39 ---------------------------------
% 120.08/16.39
% 120.08/16.39 Begin of proof
% 120.08/16.39 |
% 120.08/16.39 | ALPHA: (gsy_c_fFalse) implies:
% 120.08/16.39 | (1) is_bool(fFalse)
% 120.08/16.39 |
% 120.08/16.39 | ALPHA: (fact_10_escape) implies:
% 120.08/16.39 | (2) ? [v0: $i] : (hAPP_f817621513e_bool(cOMBC_2027030106e_bool,
% 120.08/16.39 | fequal_state) = v0 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3:
% 120.08/16.39 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 120.08/16.39 | [v8: $i] : ! [v9: $i] : ( ~
% 120.08/16.39 | (hAPP_H1641355846a_bool(insert873085594iple_a, v6) = v7) | ~
% 120.08/16.39 | (hAPP_f1591852335a_bool(v7, bot_bo1181479936a_bool) = v8) | ~
% 120.08/16.39 | (hoare_1760757500iple_a(v4, v2, v3) = v6) | ~
% 120.08/16.39 | (hoare_606018542rivs_a(v1) = v5) | ~ (hAPP_f540970102l_bool(v5,
% 120.08/16.39 | v8) = v9) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) |
% 120.08/16.39 | hBOOL(v9) | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 120.08/16.39 | $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] :
% 120.08/16.39 | ? [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] :
% 120.08/16.39 | (hAPP_s1806633685e_bool(v0, v11) = v14 & hAPP_a2036067514e_bool(v4,
% 120.08/16.39 | v10) = v12 & hAPP_a2036067514e_bool(v3, v10) = v16 &
% 120.08/16.39 | hAPP_f762886889e_bool(cOMBK_1458035955bool_a, v16) = v17 &
% 120.08/16.39 | hAPP_f762886889e_bool(cOMBK_1458035955bool_a, v14) = v15 &
% 120.08/16.39 | hAPP_H1641355846a_bool(insert873085594iple_a, v18) = v19 &
% 120.08/16.39 | hAPP_f1591852335a_bool(v19, bot_bo1181479936a_bool) = v20 &
% 120.08/16.39 | hoare_1760757500iple_a(v15, v2, v17) = v18 &
% 120.08/16.39 | hAPP_f540970102l_bool(v5, v20) = v21 & hAPP_state_bool(v12, v11)
% 120.08/16.39 | = v13 & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16)
% 120.08/16.39 | & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) &
% 120.08/16.39 | hBOOL(v13) & ~ hBOOL(v21))))
% 120.08/16.39 |
% 120.08/16.39 | ALPHA: (fact_313_finite_OemptyI) implies:
% 120.08/16.39 | (3) ? [v0: $i] : (hAPP_f540970102l_bool(finite1655202547iple_a,
% 120.08/16.39 | bot_bo1181479936a_bool) = v0 & $i(v0) & hBOOL(v0))
% 120.08/16.39 |
% 120.08/16.39 | ALPHA: (fact_322_finite__insert) implies:
% 120.08/16.39 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 120.08/16.39 | (hAPP_H1641355846a_bool(insert873085594iple_a, v0) = v2) | ~
% 120.08/16.39 | (hAPP_f1591852335a_bool(v2, v1) = v3) | ~ $i(v1) | ~ $i(v0) | ?
% 120.08/16.39 | [v4: $i] : ? [v5: $i] :
% 120.08/16.39 | ((hAPP_f540970102l_bool(finite1655202547iple_a, v3) = v4 & $i(v4) &
% 120.08/16.39 | ~ hBOOL(v4)) | (hAPP_f540970102l_bool(finite1655202547iple_a, v1)
% 120.08/16.39 | = v5 & $i(v5) & hBOOL(v5))))
% 120.08/16.39 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 120.08/16.39 | (hAPP_H1641355846a_bool(insert873085594iple_a, v0) = v2) | ~
% 120.08/16.39 | (hAPP_f1591852335a_bool(v2, v1) = v3) | ~ $i(v1) | ~ $i(v0) | ?
% 120.08/16.39 | [v4: $i] : ? [v5: $i] :
% 120.08/16.39 | ((hAPP_f540970102l_bool(finite1655202547iple_a, v3) = v5 & $i(v5) &
% 120.08/16.39 | hBOOL(v5)) | (hAPP_f540970102l_bool(finite1655202547iple_a, v1) =
% 120.08/16.39 | v4 & $i(v4) & ~ hBOOL(v4))))
% 120.08/16.39 |
% 120.08/16.39 | ALPHA: (help_fFalse_1_1_U) implies:
% 120.08/16.39 | (6) ~ hBOOL(fFalse)
% 120.08/16.39 |
% 120.08/16.39 | ALPHA: (help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Ostate_U) implies:
% 120.08/16.39 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 120.08/16.39 | (hAPP_b2019457360e_bool(cOMBK_bool_state, v0) = v2) | ~
% 120.08/16.39 | (hAPP_state_bool(v2, v1) = v3) | ~ $i(v1) | ~ $i(v0) | ~
% 120.08/16.39 | is_bool(v0))
% 120.08/16.39 |
% 120.08/16.39 | ALPHA: (help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000t__a_U)
% 120.08/16.39 | implies:
% 120.08/16.39 | (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 120.08/16.39 | (hAPP_a2036067514e_bool(v2, v1) = v3) | ~
% 120.08/16.39 | (hAPP_f762886889e_bool(cOMBK_1458035955bool_a, v0) = v2) | ~ $i(v1)
% 120.08/16.39 | | ~ $i(v0))
% 120.08/16.39 |
% 120.08/16.39 | ALPHA: (conj_0) implies:
% 120.08/16.39 | (9) $i(fFalse)
% 120.08/16.39 | (10) $i(bot_bo1181479936a_bool)
% 120.08/16.39 | (11) $i(g)
% 120.08/16.39 | (12) $i(c)
% 120.08/16.40 | (13) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 120.08/16.40 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 120.08/16.40 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 120.08/16.40 | $i] : ? [v15: $i] : (hAPP_f375255701e_bool(cOMBB_145932198bool_a,
% 120.08/16.40 | cOMBS_1378840469l_bool) = v3 & hAPP_f963367678e_bool(v3, v6) = v7
% 120.08/16.40 | & hAPP_f1261923407e_bool(cOMBC_892787026e_bool, v7) = v8 &
% 120.08/16.40 | hAPP_f2073279419e_bool(cOMBB_160679318_state, fNot) = v9 &
% 120.08/16.40 | hAPP_f1759915619e_bool(v9, b) = v10 &
% 120.08/16.40 | hAPP_b2019457360e_bool(cOMBK_bool_state, fFalse) = v1 &
% 120.08/16.40 | hAPP_f762886889e_bool(v8, v10) = v11 &
% 120.08/16.40 | hAPP_f762886889e_bool(cOMBK_1458035955bool_a, v1) = v2 &
% 120.08/16.40 | hAPP_f1561913689l_bool(cOMBB_188601460_state, fconj) = v4 &
% 120.08/16.40 | hAPP_f1178339559l_bool(cOMBB_1355796797bool_a, v4) = v5 &
% 120.08/16.40 | hAPP_f1509969235l_bool(v5, p) = v6 &
% 120.08/16.40 | hAPP_H1641355846a_bool(insert873085594iple_a, v12) = v13 &
% 120.08/16.40 | hAPP_f1591852335a_bool(v13, bot_bo1181479936a_bool) = v14 &
% 120.08/16.40 | hoare_1760757500iple_a(v2, c, v11) = v12 & hoare_606018542rivs_a(g)
% 120.08/16.40 | = v0 & hAPP_f540970102l_bool(v0, v14) = v15 & $i(v15) & $i(v14) &
% 120.08/16.40 | $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 120.08/16.40 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ~
% 120.08/16.40 | hBOOL(v15))
% 120.08/16.40 |
% 120.08/16.40 | ALPHA: (function-axioms) implies:
% 120.08/16.40 | (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 120.08/16.40 | (hAPP_f540970102l_bool(v3, v2) = v1) | ~ (hAPP_f540970102l_bool(v3,
% 120.08/16.40 | v2) = v0))
% 120.08/16.40 |
% 120.08/16.40 | DELTA: instantiating (3) with fresh symbol all_719_0 gives:
% 120.08/16.40 | (15) hAPP_f540970102l_bool(finite1655202547iple_a, bot_bo1181479936a_bool)
% 120.08/16.40 | = all_719_0 & $i(all_719_0) & hBOOL(all_719_0)
% 120.08/16.40 |
% 120.08/16.40 | ALPHA: (15) implies:
% 120.08/16.40 | (16) hBOOL(all_719_0)
% 120.08/16.40 | (17) hAPP_f540970102l_bool(finite1655202547iple_a, bot_bo1181479936a_bool)
% 120.08/16.40 | = all_719_0
% 120.08/16.40 |
% 120.08/16.40 | DELTA: instantiating (13) with fresh symbols all_1012_0, all_1012_1,
% 120.08/16.40 | all_1012_2, all_1012_3, all_1012_4, all_1012_5, all_1012_6, all_1012_7,
% 120.08/16.40 | all_1012_8, all_1012_9, all_1012_10, all_1012_11, all_1012_12,
% 120.08/16.40 | all_1012_13, all_1012_14, all_1012_15 gives:
% 120.08/16.40 | (18) hAPP_f375255701e_bool(cOMBB_145932198bool_a, cOMBS_1378840469l_bool) =
% 120.08/16.40 | all_1012_12 & hAPP_f963367678e_bool(all_1012_12, all_1012_9) =
% 120.08/16.40 | all_1012_8 & hAPP_f1261923407e_bool(cOMBC_892787026e_bool, all_1012_8)
% 120.08/16.40 | = all_1012_7 & hAPP_f2073279419e_bool(cOMBB_160679318_state, fNot) =
% 120.08/16.40 | all_1012_6 & hAPP_f1759915619e_bool(all_1012_6, b) = all_1012_5 &
% 120.08/16.40 | hAPP_b2019457360e_bool(cOMBK_bool_state, fFalse) = all_1012_14 &
% 120.08/16.40 | hAPP_f762886889e_bool(all_1012_7, all_1012_5) = all_1012_4 &
% 120.08/16.40 | hAPP_f762886889e_bool(cOMBK_1458035955bool_a, all_1012_14) =
% 120.08/16.40 | all_1012_13 & hAPP_f1561913689l_bool(cOMBB_188601460_state, fconj) =
% 120.08/16.40 | all_1012_11 & hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,
% 120.08/16.40 | all_1012_11) = all_1012_10 & hAPP_f1509969235l_bool(all_1012_10, p)
% 120.08/16.40 | = all_1012_9 & hAPP_H1641355846a_bool(insert873085594iple_a,
% 120.08/16.40 | all_1012_3) = all_1012_2 & hAPP_f1591852335a_bool(all_1012_2,
% 120.08/16.40 | bot_bo1181479936a_bool) = all_1012_1 &
% 120.08/16.40 | hoare_1760757500iple_a(all_1012_13, c, all_1012_4) = all_1012_3 &
% 120.08/16.40 | hoare_606018542rivs_a(g) = all_1012_15 &
% 120.08/16.40 | hAPP_f540970102l_bool(all_1012_15, all_1012_1) = all_1012_0 &
% 120.08/16.40 | $i(all_1012_0) & $i(all_1012_1) & $i(all_1012_2) & $i(all_1012_3) &
% 120.08/16.40 | $i(all_1012_4) & $i(all_1012_5) & $i(all_1012_6) & $i(all_1012_7) &
% 120.08/16.40 | $i(all_1012_8) & $i(all_1012_9) & $i(all_1012_10) & $i(all_1012_11) &
% 120.08/16.40 | $i(all_1012_12) & $i(all_1012_13) & $i(all_1012_14) & $i(all_1012_15)
% 120.08/16.40 | & ~ hBOOL(all_1012_0)
% 120.08/16.40 |
% 120.08/16.40 | ALPHA: (18) implies:
% 120.08/16.40 | (19) ~ hBOOL(all_1012_0)
% 120.08/16.40 | (20) $i(all_1012_14)
% 120.08/16.40 | (21) $i(all_1012_13)
% 120.08/16.40 | (22) $i(all_1012_4)
% 120.08/16.40 | (23) $i(all_1012_3)
% 120.08/16.40 | (24) hAPP_f540970102l_bool(all_1012_15, all_1012_1) = all_1012_0
% 120.08/16.40 | (25) hoare_606018542rivs_a(g) = all_1012_15
% 120.08/16.40 | (26) hoare_1760757500iple_a(all_1012_13, c, all_1012_4) = all_1012_3
% 120.08/16.40 | (27) hAPP_f1591852335a_bool(all_1012_2, bot_bo1181479936a_bool) =
% 120.08/16.40 | all_1012_1
% 120.08/16.40 | (28) hAPP_H1641355846a_bool(insert873085594iple_a, all_1012_3) = all_1012_2
% 120.08/16.40 | (29) hAPP_f762886889e_bool(cOMBK_1458035955bool_a, all_1012_14) =
% 120.08/16.40 | all_1012_13
% 120.08/16.40 | (30) hAPP_b2019457360e_bool(cOMBK_bool_state, fFalse) = all_1012_14
% 120.08/16.40 |
% 120.08/16.40 | DELTA: instantiating (2) with fresh symbol all_1017_0 gives:
% 120.08/16.40 | (31) hAPP_f817621513e_bool(cOMBC_2027030106e_bool, fequal_state) =
% 120.08/16.40 | all_1017_0 & $i(all_1017_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 120.08/16.40 | : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i]
% 120.08/16.40 | : ! [v8: $i] : ( ~ (hAPP_H1641355846a_bool(insert873085594iple_a, v5)
% 120.08/16.40 | = v6) | ~ (hAPP_f1591852335a_bool(v6, bot_bo1181479936a_bool) =
% 120.08/16.40 | v7) | ~ (hoare_1760757500iple_a(v3, v1, v2) = v5) | ~
% 120.08/16.40 | (hoare_606018542rivs_a(v0) = v4) | ~ (hAPP_f540970102l_bool(v4, v7)
% 120.08/16.40 | = v8) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | hBOOL(v8)
% 120.08/16.40 | | ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 120.08/16.40 | [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17:
% 120.08/16.40 | $i] : ? [v18: $i] : ? [v19: $i] : ? [v20: $i] :
% 120.08/16.40 | (hAPP_s1806633685e_bool(all_1017_0, v10) = v13 &
% 120.08/16.40 | hAPP_a2036067514e_bool(v3, v9) = v11 & hAPP_a2036067514e_bool(v2,
% 120.08/16.40 | v9) = v15 & hAPP_f762886889e_bool(cOMBK_1458035955bool_a, v15) =
% 120.08/16.40 | v16 & hAPP_f762886889e_bool(cOMBK_1458035955bool_a, v13) = v14 &
% 120.08/16.40 | hAPP_H1641355846a_bool(insert873085594iple_a, v17) = v18 &
% 120.08/16.40 | hAPP_f1591852335a_bool(v18, bot_bo1181479936a_bool) = v19 &
% 120.08/16.40 | hoare_1760757500iple_a(v14, v1, v16) = v17 &
% 120.08/16.40 | hAPP_f540970102l_bool(v4, v19) = v20 & hAPP_state_bool(v11, v10) =
% 120.08/16.40 | v12 & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) &
% 120.08/16.40 | $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 120.08/16.40 | hBOOL(v12) & ~ hBOOL(v20)))
% 120.08/16.40 |
% 120.08/16.40 | ALPHA: (31) implies:
% 120.08/16.40 | (32) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 120.08/16.40 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~
% 120.08/16.40 | (hAPP_H1641355846a_bool(insert873085594iple_a, v5) = v6) | ~
% 120.08/16.40 | (hAPP_f1591852335a_bool(v6, bot_bo1181479936a_bool) = v7) | ~
% 120.08/16.40 | (hoare_1760757500iple_a(v3, v1, v2) = v5) | ~
% 120.08/16.40 | (hoare_606018542rivs_a(v0) = v4) | ~ (hAPP_f540970102l_bool(v4, v7)
% 120.08/16.40 | = v8) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | hBOOL(v8)
% 120.08/16.40 | | ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 120.08/16.40 | [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17:
% 120.08/16.40 | $i] : ? [v18: $i] : ? [v19: $i] : ? [v20: $i] :
% 120.08/16.40 | (hAPP_s1806633685e_bool(all_1017_0, v10) = v13 &
% 120.08/16.40 | hAPP_a2036067514e_bool(v3, v9) = v11 & hAPP_a2036067514e_bool(v2,
% 120.08/16.40 | v9) = v15 & hAPP_f762886889e_bool(cOMBK_1458035955bool_a, v15) =
% 120.08/16.40 | v16 & hAPP_f762886889e_bool(cOMBK_1458035955bool_a, v13) = v14 &
% 120.08/16.40 | hAPP_H1641355846a_bool(insert873085594iple_a, v17) = v18 &
% 120.08/16.40 | hAPP_f1591852335a_bool(v18, bot_bo1181479936a_bool) = v19 &
% 120.08/16.40 | hoare_1760757500iple_a(v14, v1, v16) = v17 &
% 120.08/16.40 | hAPP_f540970102l_bool(v4, v19) = v20 & hAPP_state_bool(v11, v10) =
% 120.08/16.40 | v12 & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) &
% 120.08/16.40 | $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 120.08/16.40 | hBOOL(v12) & ~ hBOOL(v20)))
% 120.08/16.40 |
% 120.08/16.40 | GROUND_INST: instantiating (32) with g, c, all_1012_4, all_1012_13,
% 120.08/16.40 | all_1012_15, all_1012_3, all_1012_2, all_1012_1, all_1012_0,
% 120.08/16.40 | simplifying with (11), (12), (19), (21), (22), (24), (25), (26),
% 120.08/16.40 | (27), (28) gives:
% 120.08/16.41 | (33) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 120.08/16.41 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 120.08/16.41 | ? [v10: $i] : ? [v11: $i] : (hAPP_s1806633685e_bool(all_1017_0, v1) =
% 120.08/16.41 | v4 & hAPP_a2036067514e_bool(all_1012_4, v0) = v6 &
% 120.08/16.41 | hAPP_a2036067514e_bool(all_1012_13, v0) = v2 &
% 120.08/16.41 | hAPP_f762886889e_bool(cOMBK_1458035955bool_a, v6) = v7 &
% 120.08/16.41 | hAPP_f762886889e_bool(cOMBK_1458035955bool_a, v4) = v5 &
% 120.08/16.41 | hAPP_H1641355846a_bool(insert873085594iple_a, v8) = v9 &
% 120.08/16.41 | hAPP_f1591852335a_bool(v9, bot_bo1181479936a_bool) = v10 &
% 120.08/16.41 | hoare_1760757500iple_a(v5, c, v7) = v8 &
% 120.08/16.41 | hAPP_f540970102l_bool(all_1012_15, v10) = v11 & hAPP_state_bool(v2,
% 120.08/16.41 | v1) = v3 & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 120.08/16.41 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & hBOOL(v3) & ~
% 120.08/16.41 | hBOOL(v11))
% 120.08/16.41 |
% 120.08/16.41 | GROUND_INST: instantiating (5) with all_1012_3, bot_bo1181479936a_bool,
% 120.35/16.41 | all_1012_2, all_1012_1, simplifying with (10), (23), (27), (28)
% 120.35/16.41 | gives:
% 120.35/16.41 | (34) ? [v0: $i] : ? [v1: $i] :
% 120.35/16.41 | ((hAPP_f540970102l_bool(finite1655202547iple_a, all_1012_1) = v1 &
% 120.35/16.41 | $i(v1) & hBOOL(v1)) |
% 120.35/16.41 | (hAPP_f540970102l_bool(finite1655202547iple_a,
% 120.35/16.41 | bot_bo1181479936a_bool) = v0 & $i(v0) & ~ hBOOL(v0)))
% 120.35/16.41 |
% 120.35/16.41 | GROUND_INST: instantiating (4) with all_1012_3, bot_bo1181479936a_bool,
% 120.35/16.41 | all_1012_2, all_1012_1, simplifying with (10), (23), (27), (28)
% 120.35/16.41 | gives:
% 120.35/16.41 | (35) ? [v0: $i] : ? [v1: $i] :
% 120.35/16.41 | ((hAPP_f540970102l_bool(finite1655202547iple_a, all_1012_1) = v0 &
% 120.35/16.41 | $i(v0) & ~ hBOOL(v0)) |
% 120.35/16.41 | (hAPP_f540970102l_bool(finite1655202547iple_a,
% 120.35/16.41 | bot_bo1181479936a_bool) = v1 & $i(v1) & hBOOL(v1)))
% 120.35/16.41 |
% 120.35/16.41 | DELTA: instantiating (34) with fresh symbols all_1083_0, all_1083_1 gives:
% 120.35/16.41 | (36) (hAPP_f540970102l_bool(finite1655202547iple_a, all_1012_1) =
% 120.35/16.41 | all_1083_0 & $i(all_1083_0) & hBOOL(all_1083_0)) |
% 120.35/16.41 | (hAPP_f540970102l_bool(finite1655202547iple_a, bot_bo1181479936a_bool)
% 120.35/16.41 | = all_1083_1 & $i(all_1083_1) & ~ hBOOL(all_1083_1))
% 120.35/16.41 |
% 120.35/16.41 | DELTA: instantiating (35) with fresh symbols all_1084_0, all_1084_1 gives:
% 120.35/16.41 | (37) (hAPP_f540970102l_bool(finite1655202547iple_a, all_1012_1) =
% 120.35/16.41 | all_1084_1 & $i(all_1084_1) & ~ hBOOL(all_1084_1)) |
% 120.35/16.41 | (hAPP_f540970102l_bool(finite1655202547iple_a, bot_bo1181479936a_bool)
% 120.35/16.41 | = all_1084_0 & $i(all_1084_0) & hBOOL(all_1084_0))
% 120.35/16.41 |
% 120.35/16.41 | DELTA: instantiating (33) with fresh symbols all_1094_0, all_1094_1,
% 120.35/16.41 | all_1094_2, all_1094_3, all_1094_4, all_1094_5, all_1094_6, all_1094_7,
% 120.35/16.41 | all_1094_8, all_1094_9, all_1094_10, all_1094_11 gives:
% 120.35/16.41 | (38) hAPP_s1806633685e_bool(all_1017_0, all_1094_10) = all_1094_7 &
% 120.35/16.41 | hAPP_a2036067514e_bool(all_1012_4, all_1094_11) = all_1094_5 &
% 120.35/16.41 | hAPP_a2036067514e_bool(all_1012_13, all_1094_11) = all_1094_9 &
% 120.35/16.41 | hAPP_f762886889e_bool(cOMBK_1458035955bool_a, all_1094_5) = all_1094_4
% 120.35/16.41 | & hAPP_f762886889e_bool(cOMBK_1458035955bool_a, all_1094_7) =
% 120.35/16.41 | all_1094_6 & hAPP_H1641355846a_bool(insert873085594iple_a, all_1094_3)
% 120.35/16.41 | = all_1094_2 & hAPP_f1591852335a_bool(all_1094_2,
% 120.35/16.41 | bot_bo1181479936a_bool) = all_1094_1 &
% 120.35/16.41 | hoare_1760757500iple_a(all_1094_6, c, all_1094_4) = all_1094_3 &
% 120.35/16.41 | hAPP_f540970102l_bool(all_1012_15, all_1094_1) = all_1094_0 &
% 120.35/16.41 | hAPP_state_bool(all_1094_9, all_1094_10) = all_1094_8 & $i(all_1094_0)
% 120.35/16.41 | & $i(all_1094_1) & $i(all_1094_2) & $i(all_1094_3) & $i(all_1094_4) &
% 120.35/16.41 | $i(all_1094_5) & $i(all_1094_6) & $i(all_1094_7) & $i(all_1094_8) &
% 120.35/16.41 | $i(all_1094_9) & $i(all_1094_10) & $i(all_1094_11) & hBOOL(all_1094_8)
% 120.35/16.41 | & ~ hBOOL(all_1094_0)
% 120.35/16.41 |
% 120.35/16.41 | ALPHA: (38) implies:
% 120.35/16.41 | (39) hBOOL(all_1094_8)
% 120.35/16.41 | (40) $i(all_1094_11)
% 120.35/16.41 | (41) $i(all_1094_10)
% 120.35/16.41 | (42) hAPP_state_bool(all_1094_9, all_1094_10) = all_1094_8
% 120.35/16.41 | (43) hAPP_a2036067514e_bool(all_1012_13, all_1094_11) = all_1094_9
% 120.35/16.41 |
% 120.35/16.41 | BETA: splitting (36) gives:
% 120.35/16.41 |
% 120.35/16.41 | Case 1:
% 120.35/16.41 | |
% 120.35/16.41 | | (44) hAPP_f540970102l_bool(finite1655202547iple_a, all_1012_1) =
% 120.35/16.41 | | all_1083_0 & $i(all_1083_0) & hBOOL(all_1083_0)
% 120.35/16.41 | |
% 120.35/16.41 | | ALPHA: (44) implies:
% 120.35/16.41 | | (45) hBOOL(all_1083_0)
% 120.35/16.41 | | (46) hAPP_f540970102l_bool(finite1655202547iple_a, all_1012_1) =
% 120.35/16.41 | | all_1083_0
% 120.35/16.41 | |
% 120.35/16.41 | | BETA: splitting (37) gives:
% 120.35/16.41 | |
% 120.35/16.41 | | Case 1:
% 120.35/16.41 | | |
% 120.35/16.41 | | | (47) hAPP_f540970102l_bool(finite1655202547iple_a, all_1012_1) =
% 120.35/16.41 | | | all_1084_1 & $i(all_1084_1) & ~ hBOOL(all_1084_1)
% 120.35/16.41 | | |
% 120.35/16.41 | | | ALPHA: (47) implies:
% 120.35/16.41 | | | (48) ~ hBOOL(all_1084_1)
% 120.35/16.41 | | | (49) hAPP_f540970102l_bool(finite1655202547iple_a, all_1012_1) =
% 120.35/16.41 | | | all_1084_1
% 120.35/16.41 | | |
% 120.35/16.41 | | | GROUND_INST: instantiating (14) with all_1083_0, all_1084_1, all_1012_1,
% 120.35/16.41 | | | finite1655202547iple_a, simplifying with (46), (49) gives:
% 120.35/16.41 | | | (50) all_1084_1 = all_1083_0
% 120.35/16.41 | | |
% 120.35/16.41 | | | REDUCE: (48), (50) imply:
% 120.35/16.41 | | | (51) ~ hBOOL(all_1083_0)
% 120.35/16.41 | | |
% 120.35/16.41 | | | PRED_UNIFY: (45), (51) imply:
% 120.35/16.41 | | | (52) $false
% 120.35/16.41 | | |
% 120.35/16.41 | | | CLOSE: (52) is inconsistent.
% 120.35/16.41 | | |
% 120.35/16.41 | | Case 2:
% 120.35/16.41 | | |
% 120.35/16.41 | | |
% 120.35/16.41 | | | GROUND_INST: instantiating (8) with all_1012_14, all_1094_11, all_1012_13,
% 120.35/16.41 | | | all_1094_9, simplifying with (20), (29), (40), (43) gives:
% 120.35/16.41 | | | (53) all_1094_9 = all_1012_14
% 120.35/16.41 | | |
% 120.35/16.41 | | | REDUCE: (42), (53) imply:
% 120.35/16.41 | | | (54) hAPP_state_bool(all_1012_14, all_1094_10) = all_1094_8
% 120.35/16.41 | | |
% 120.35/16.41 | | | GROUND_INST: instantiating (7) with fFalse, all_1094_10, all_1012_14,
% 120.35/16.41 | | | all_1094_8, simplifying with (1), (9), (30), (41), (54)
% 120.35/16.41 | | | gives:
% 120.35/16.41 | | | (55) all_1094_8 = fFalse
% 120.35/16.41 | | |
% 120.35/16.41 | | | REDUCE: (39), (55) imply:
% 120.35/16.41 | | | (56) hBOOL(fFalse)
% 120.35/16.41 | | |
% 120.35/16.41 | | | PRED_UNIFY: (6), (56) imply:
% 120.35/16.41 | | | (57) $false
% 120.35/16.41 | | |
% 120.35/16.41 | | | CLOSE: (57) is inconsistent.
% 120.35/16.41 | | |
% 120.35/16.41 | | End of split
% 120.35/16.41 | |
% 120.35/16.41 | Case 2:
% 120.35/16.41 | |
% 120.35/16.41 | | (58) hAPP_f540970102l_bool(finite1655202547iple_a,
% 120.35/16.41 | | bot_bo1181479936a_bool) = all_1083_1 & $i(all_1083_1) & ~
% 120.35/16.41 | | hBOOL(all_1083_1)
% 120.35/16.41 | |
% 120.35/16.41 | | ALPHA: (58) implies:
% 120.35/16.41 | | (59) ~ hBOOL(all_1083_1)
% 120.35/16.41 | | (60) hAPP_f540970102l_bool(finite1655202547iple_a,
% 120.35/16.42 | | bot_bo1181479936a_bool) = all_1083_1
% 120.35/16.42 | |
% 120.35/16.42 | | GROUND_INST: instantiating (14) with all_719_0, all_1083_1,
% 120.35/16.42 | | bot_bo1181479936a_bool, finite1655202547iple_a, simplifying
% 120.35/16.42 | | with (17), (60) gives:
% 120.35/16.42 | | (61) all_1083_1 = all_719_0
% 120.35/16.42 | |
% 120.35/16.42 | | REDUCE: (59), (61) imply:
% 120.35/16.42 | | (62) ~ hBOOL(all_719_0)
% 120.35/16.42 | |
% 120.35/16.42 | | PRED_UNIFY: (16), (62) imply:
% 120.35/16.42 | | (63) $false
% 120.35/16.42 | |
% 120.35/16.42 | | CLOSE: (63) is inconsistent.
% 120.35/16.42 | |
% 120.35/16.42 | End of split
% 120.35/16.42 |
% 120.35/16.42 End of proof
% 120.35/16.42 % SZS output end Proof for theBenchmark
% 120.35/16.42
% 120.35/16.42 15803ms
%------------------------------------------------------------------------------