%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : PLA054_4 : TPTP v8.2.0. Released v8.2.0.
% Transfm  : none
% Format   : tptp
% Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s

% Computer : n025.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 13:02:57 EDT 2023

% Result   : Theorem 27.59s 4.48s
% Output   : Proof 44.98s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : PLA054_4 : TPTP v8.2.0. Released v8.2.0.
% 0.00/0.13  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.35  % Computer : n025.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sun Aug 27 06:20:53 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.21/0.64  ________       _____
% 0.21/0.64  ___  __ \_________(_)________________________________
% 0.21/0.64  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.21/0.65  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.21/0.65  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.21/0.65  
% 0.21/0.65  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.21/0.65  (2023-06-19)
% 0.21/0.65  
% 0.21/0.65  (c) Philipp Rümmer, 2009-2023
% 0.21/0.65  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.21/0.65                Amanda Stjerna.
% 0.21/0.65  Free software under BSD-3-Clause.
% 0.21/0.65  
% 0.21/0.65  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.21/0.65  
% 0.21/0.65  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.21/0.66  Running up to 7 provers in parallel.
% 0.21/0.67  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.21/0.67  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.21/0.67  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.21/0.67  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.21/0.67  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.21/0.67  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 0.21/0.67  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 2.36/1.08  Prover 4: Preprocessing ...
% 2.36/1.09  Prover 1: Preprocessing ...
% 2.86/1.13  Prover 2: Preprocessing ...
% 2.86/1.13  Prover 0: Preprocessing ...
% 2.86/1.13  Prover 5: Preprocessing ...
% 2.86/1.13  Prover 3: Preprocessing ...
% 2.86/1.13  Prover 6: Preprocessing ...
% 3.81/1.29  Prover 2: Proving ...
% 3.81/1.30  Prover 5: Proving ...
% 4.51/1.44  Prover 1: Warning: ignoring some quantifiers
% 4.51/1.46  Prover 1: Constructing countermodel ...
% 4.51/1.46  Prover 6: Proving ...
% 4.51/1.50  Prover 3: Warning: ignoring some quantifiers
% 5.15/1.51  Prover 3: Constructing countermodel ...
% 6.35/1.60  Prover 3: gave up
% 6.35/1.60  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 6.62/1.63  Prover 4: Warning: ignoring some quantifiers
% 6.62/1.63  Prover 1: gave up
% 6.62/1.63  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 6.62/1.64  Prover 7: Preprocessing ...
% 6.62/1.66  Prover 8: Preprocessing ...
% 6.62/1.66  Prover 4: Constructing countermodel ...
% 6.62/1.69  Prover 7: Warning: ignoring some quantifiers
% 6.62/1.70  Prover 7: Constructing countermodel ...
% 6.62/1.71  Prover 0: Proving ...
% 7.34/1.75  Prover 8: Warning: ignoring some quantifiers
% 7.34/1.76  Prover 8: Constructing countermodel ...
% 7.34/1.79  Prover 7: gave up
% 7.93/1.81  Prover 9: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889
% 7.93/1.83  Prover 8: gave up
% 7.93/1.84  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 7.93/1.84  Prover 9: Preprocessing ...
% 7.93/1.87  Prover 10: Preprocessing ...
% 8.56/1.89  Prover 10: Warning: ignoring some quantifiers
% 8.78/1.92  Prover 10: Constructing countermodel ...
% 8.78/1.96  Prover 10: gave up
% 8.78/1.96  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 8.78/1.99  Prover 11: Preprocessing ...
% 8.78/2.06  Prover 9: Warning: ignoring some quantifiers
% 8.78/2.07  Prover 9: Constructing countermodel ...
% 10.87/2.21  Prover 11: Warning: ignoring some quantifiers
% 10.87/2.23  Prover 11: Constructing countermodel ...
% 10.87/2.27  Prover 11: gave up
% 10.87/2.27  Prover 12: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391
% 11.53/2.31  Prover 12: Preprocessing ...
% 12.46/2.41  Prover 12: Proving ...
% 27.59/4.48  Prover 9: proved (2667ms)
% 27.59/4.48  
% 27.59/4.48  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.59/4.48  
% 27.59/4.48  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 27.59/4.48  Prover 2: stopped
% 27.59/4.48  Prover 0: stopped
% 27.59/4.49  Prover 6: stopped
% 28.05/4.49  Prover 5: stopped
% 28.05/4.49  Prover 12: stopped
% 28.05/4.49  Prover 16: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 28.05/4.49  Prover 19: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 28.05/4.50  Prover 13: Preprocessing ...
% 28.05/4.51  Prover 16: Preprocessing ...
% 28.05/4.51  Prover 19: Preprocessing ...
% 28.05/4.51  Prover 13: Warning: ignoring some quantifiers
% 28.05/4.52  Prover 13: Constructing countermodel ...
% 28.05/4.52  Prover 16: Warning: ignoring some quantifiers
% 28.05/4.52  Prover 16: Constructing countermodel ...
% 28.05/4.53  Prover 13: gave up
% 28.05/4.54  Prover 16: gave up
% 28.56/4.56  Prover 19: Warning: ignoring some quantifiers
% 28.56/4.56  Prover 19: Constructing countermodel ...
% 28.83/4.61  Prover 19: gave up
% 42.51/8.55  Prover 4: Found proof (size 681)
% 42.51/8.55  Prover 4: proved (7883ms)
% 42.51/8.55  
% 42.51/8.55  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 42.51/8.55  
% 42.83/8.61  % SZS output start Proof for theBenchmark
% 42.83/8.61  Assumptions after simplification:
% 42.83/8.61  ---------------------------------
% 42.83/8.61  
% 42.83/8.61    ($ki_exists_in_world_$i_const)
% 42.83/8.65     ! [v0: $ki_world] :  ! [v1: $i] :  ! [v2: int] : (v2 = 0 |  ~
% 42.83/8.65      ($ki_exists_in_world_$i(v0, v1) = v2) |  ~ $ki_world(v0) |  ~ $i(v1))
% 42.83/8.65  
% 42.83/8.65    (ax1)
% 43.18/8.69    $ki_world($ki_local_world) & $i(o) &  ! [v0: $ki_world] :  ! [v1: $i] :  !
% 43.18/8.69    [v2: $i] : ( ~ ($ki_exists_in_world_$i(v0, v2) = 0) |  ~
% 43.18/8.69      ($ki_exists_in_world_$i(v0, v1) = 0) |  ~ ($ki_accessible($ki_local_world,
% 43.18/8.69          v0) = 0) |  ~ $ki_world(v0) |  ~ $i(v2) |  ~ $i(v1) |  ? [v3: $i] :
% 43.18/8.69      ($ki_exists_in_world_$i(v0, v3) = 0 & $i(v3) &  ! [v4: $ki_world] :  ! [v5:
% 43.18/8.69          int] :  ! [v6: $ki_world] :  ! [v7: int] : (v7 = 0 | v5 = 0 |  ~
% 43.18/8.69          (closed(v6, v1) = v7) |  ~ (combo(v4, v1, v2) = v5) |  ~ $ki_world(v6) |
% 43.18/8.69           ~ $ki_world(v4) |  ? [v8: int] :  ? [v9: any] :  ? [v10: any] : (( ~
% 43.18/8.69              (v8 = 0) & $ki_accessible(v4, v6) = v8) | (h(v4, o) = v10 &
% 43.18/8.69              closed(v4, v1) = v9 & $ki_accessible(v0, v4) = v8 & ( ~ (v10 = 0) | 
% 43.18/8.69                ~ (v9 = 0) |  ~ (v8 = 0))))) &  ! [v4: $ki_world] :  ! [v5:
% 43.18/8.69          $ki_world] :  ! [v6: int] : (v6 = 0 |  ~ (h(v4, v3) = 0) |  ~ (open(v5,
% 43.18/8.69              v1) = v6) |  ~ $ki_world(v5) |  ~ $ki_world(v4) |  ? [v7: int] :  ?
% 43.18/8.69          [v8: any] :  ? [v9: any] : (( ~ (v7 = 0) & $ki_accessible(v4, v5) = v7)
% 43.18/8.69            | (closed(v4, v1) = v8 & combo(v4, v1, v2) = v9 & $ki_accessible(v0,
% 43.18/8.69                v4) = v7 & ( ~ (v9 = 0) |  ~ (v8 = 0) |  ~ (v7 = 0))))) &  ! [v4:
% 43.18/8.69          $ki_world] :  ! [v5: $ki_world] :  ! [v6: int] : (v6 = 0 |  ~ (h(v4, o)
% 43.18/8.69            = 0) |  ~ (closed(v5, v1) = v6) |  ~ $ki_world(v5) |  ~ $ki_world(v4)
% 43.18/8.69          |  ? [v7: int] :  ? [v8: any] :  ? [v9: any] : (( ~ (v7 = 0) &
% 43.18/8.69              $ki_accessible(v4, v5) = v7) | (closed(v4, v1) = v8 & combo(v4, v1,
% 43.18/8.69                v2) = v9 & $ki_accessible(v0, v4) = v7 & ( ~ (v8 = 0) |  ~ (v7 =
% 43.18/8.69                  0) | v9 = 0)))) &  ! [v4: $ki_world] :  ! [v5: $ki_world] :  !
% 43.18/8.69        [v6: int] : (v6 = 0 |  ~ (closed(v5, v1) = v6) |  ~ (closed(v4, v1) = 0) |
% 43.18/8.69           ~ $ki_world(v5) |  ~ $ki_world(v4) |  ? [v7: int] :  ? [v8: any] :  ?
% 43.18/8.69          [v9: any] : (( ~ (v7 = 0) & $ki_accessible(v4, v5) = v7) | (h(v4, o) =
% 43.18/8.69              v9 & combo(v4, v1, v2) = v8 & $ki_accessible(v0, v4) = v7 & ( ~ (v9
% 43.18/8.69                  = 0) |  ~ (v7 = 0) | v8 = 0)))) &  ! [v4: $ki_world] :  ! [v5:
% 43.18/8.69          $ki_world] :  ! [v6: int] : (v6 = 0 |  ~ (closed(v5, v1) = v6) |  ~
% 43.18/8.69          ($ki_accessible(v0, v4) = 0) |  ~ $ki_world(v5) |  ~ $ki_world(v4) |  ?
% 43.18/8.69          [v7: int] :  ? [v8: any] :  ? [v9: any] : (( ~ (v7 = 0) &
% 43.18/8.69              $ki_accessible(v4, v5) = v7) | (h(v4, o) = v9 & closed(v4, v1) = v7
% 43.18/8.69              & combo(v4, v1, v2) = v8 & ( ~ (v9 = 0) |  ~ (v7 = 0) | v8 = 0)))) &
% 43.18/8.69         ! [v4: $ki_world] :  ! [v5: $ki_world] :  ! [v6: int] : (v6 = 0 |  ~
% 43.18/8.69          (closed(v4, v1) = 0) |  ~ (open(v5, v1) = v6) |  ~ $ki_world(v5) |  ~
% 43.18/8.69          $ki_world(v4) |  ? [v7: int] :  ? [v8: any] :  ? [v9: any] : (( ~ (v7 =
% 43.18/8.69                0) & $ki_accessible(v4, v5) = v7) | (h(v4, v3) = v9 & combo(v4,
% 43.18/8.69                v1, v2) = v8 & $ki_accessible(v0, v4) = v7 & ( ~ (v9 = 0) |  ~ (v8
% 43.18/8.70                  = 0) |  ~ (v7 = 0))))) &  ! [v4: $ki_world] :  ! [v5: $ki_world]
% 43.18/8.70        :  ! [v6: int] : (v6 = 0 |  ~ (combo(v4, v1, v2) = 0) |  ~ (open(v5, v1) =
% 43.18/8.70            v6) |  ~ $ki_world(v5) |  ~ $ki_world(v4) |  ? [v7: int] :  ? [v8:
% 43.18/8.70            any] :  ? [v9: any] : (( ~ (v7 = 0) & $ki_accessible(v4, v5) = v7) |
% 43.18/8.70            (h(v4, v3) = v9 & closed(v4, v1) = v8 & $ki_accessible(v0, v4) = v7 &
% 43.18/8.70              ( ~ (v9 = 0) |  ~ (v8 = 0) |  ~ (v7 = 0))))) &  ! [v4: $ki_world] : 
% 43.18/8.70        ! [v5: $ki_world] :  ! [v6: int] : (v6 = 0 |  ~ (open(v5, v1) = v6) |  ~
% 43.18/8.70          ($ki_accessible(v0, v4) = 0) |  ~ $ki_world(v5) |  ~ $ki_world(v4) |  ?
% 43.18/8.70          [v7: int] :  ? [v8: any] :  ? [v9: any] : (( ~ (v7 = 0) &
% 43.18/8.70              $ki_accessible(v4, v5) = v7) | (h(v4, v3) = v9 & closed(v4, v1) = v7
% 43.18/8.70              & combo(v4, v1, v2) = v8 & ( ~ (v9 = 0) |  ~ (v8 = 0) |  ~ (v7 =
% 43.18/8.70                  0))))) &  ! [v4: $ki_world] :  ! [v5: int] :  ! [v6: $ki_world]
% 43.18/8.70        : (v5 = 0 |  ~ (combo(v4, v1, v2) = v5) |  ~ ($ki_accessible(v4, v6) = 0)
% 43.18/8.70          |  ~ $ki_world(v6) |  ~ $ki_world(v4) |  ? [v7: int] :  ? [v8: any] :  ?
% 43.18/8.70          [v9: any] : ((v7 = 0 & closed(v6, v1) = 0) | (h(v4, o) = v9 & closed(v4,
% 43.18/8.70                v1) = v8 & $ki_accessible(v0, v4) = v7 & ( ~ (v9 = 0) |  ~ (v8 =
% 43.18/8.70                  0) |  ~ (v7 = 0))))) &  ! [v4: $ki_world] :  ! [v5: $ki_world] :
% 43.18/8.70        ( ~ (h(v4, v3) = 0) |  ~ ($ki_accessible(v4, v5) = 0) |  ~ $ki_world(v5) |
% 43.18/8.70           ~ $ki_world(v4) |  ? [v6: int] :  ? [v7: any] :  ? [v8: any] : ((v6 = 0
% 43.18/8.70              & open(v5, v1) = 0) | (closed(v4, v1) = v7 & combo(v4, v1, v2) = v8
% 43.18/8.70              & $ki_accessible(v0, v4) = v6 & ( ~ (v8 = 0) |  ~ (v7 = 0) |  ~ (v6
% 43.18/8.70                  = 0))))) &  ! [v4: $ki_world] :  ! [v5: $ki_world] : ( ~ (h(v4,
% 43.18/8.70              o) = 0) |  ~ ($ki_accessible(v4, v5) = 0) |  ~ $ki_world(v5) |  ~
% 43.18/8.70          $ki_world(v4) |  ? [v6: int] :  ? [v7: any] :  ? [v8: any] : ((v6 = 0 &
% 43.18/8.70              closed(v5, v1) = 0) | (closed(v4, v1) = v7 & combo(v4, v1, v2) = v8
% 43.18/8.70              & $ki_accessible(v0, v4) = v6 & ( ~ (v7 = 0) |  ~ (v6 = 0) | v8 =
% 43.18/8.70                0)))) &  ! [v4: $ki_world] :  ! [v5: $ki_world] : ( ~ (closed(v4,
% 43.18/8.70              v1) = 0) |  ~ ($ki_accessible(v4, v5) = 0) |  ~ $ki_world(v5) |  ~
% 43.18/8.70          $ki_world(v4) |  ? [v6: int] :  ? [v7: any] :  ? [v8: any] : ((v6 = 0 &
% 43.18/8.70              closed(v5, v1) = 0) | (h(v4, o) = v8 & combo(v4, v1, v2) = v7 &
% 43.18/8.70              $ki_accessible(v0, v4) = v6 & ( ~ (v8 = 0) |  ~ (v6 = 0) | v7 =
% 43.18/8.70                0)))) &  ! [v4: $ki_world] :  ! [v5: $ki_world] : ( ~ (closed(v4,
% 43.18/8.70              v1) = 0) |  ~ ($ki_accessible(v4, v5) = 0) |  ~ $ki_world(v5) |  ~
% 43.18/8.70          $ki_world(v4) |  ? [v6: int] :  ? [v7: any] :  ? [v8: any] : ((v6 = 0 &
% 43.18/8.70              open(v5, v1) = 0) | (h(v4, v3) = v8 & combo(v4, v1, v2) = v7 &
% 43.18/8.70              $ki_accessible(v0, v4) = v6 & ( ~ (v8 = 0) |  ~ (v7 = 0) |  ~ (v6 =
% 43.18/8.70                  0))))) &  ! [v4: $ki_world] :  ! [v5: $ki_world] : ( ~
% 43.18/8.70          (combo(v4, v1, v2) = 0) |  ~ ($ki_accessible(v4, v5) = 0) |  ~
% 43.18/8.70          $ki_world(v5) |  ~ $ki_world(v4) |  ? [v6: int] :  ? [v7: any] :  ? [v8:
% 43.18/8.70            any] : ((v6 = 0 & open(v5, v1) = 0) | (h(v4, v3) = v8 & closed(v4, v1)
% 43.18/8.70              = v7 & $ki_accessible(v0, v4) = v6 & ( ~ (v8 = 0) |  ~ (v7 = 0) |  ~
% 43.18/8.70                (v6 = 0))))) &  ! [v4: $ki_world] :  ! [v5: $ki_world] : ( ~
% 43.18/8.70          ($ki_accessible(v4, v5) = 0) |  ~ ($ki_accessible(v0, v4) = 0) |  ~
% 43.18/8.70          $ki_world(v5) |  ~ $ki_world(v4) |  ? [v6: int] :  ? [v7: any] :  ? [v8:
% 43.18/8.70            any] : ((v6 = 0 & closed(v5, v1) = 0) | (h(v4, o) = v8 & closed(v4,
% 43.18/8.70                v1) = v6 & combo(v4, v1, v2) = v7 & ( ~ (v8 = 0) |  ~ (v6 = 0) |
% 43.18/8.70                v7 = 0)))) &  ! [v4: $ki_world] :  ! [v5: $ki_world] : ( ~
% 43.18/8.70          ($ki_accessible(v4, v5) = 0) |  ~ ($ki_accessible(v0, v4) = 0) |  ~
% 43.18/8.70          $ki_world(v5) |  ~ $ki_world(v4) |  ? [v6: int] :  ? [v7: any] :  ? [v8:
% 43.18/8.70            any] : ((v6 = 0 & open(v5, v1) = 0) | (h(v4, v3) = v8 & closed(v4, v1)
% 43.18/8.70              = v6 & combo(v4, v1, v2) = v7 & ( ~ (v8 = 0) |  ~ (v7 = 0) |  ~ (v6
% 43.18/8.70                  = 0)))))))
% 43.18/8.70  
% 43.18/8.70    (ax2)
% 43.18/8.70    $ki_world($ki_local_world) & $i(d) &  ! [v0: $ki_world] :  ! [v1: int] : (v1 =
% 43.18/8.70      0 |  ~ (closed(v0, d) = v1) |  ~ $ki_world(v0) |  ? [v2: int] : ( ~ (v2 = 0)
% 43.18/8.70        & $ki_accessible($ki_local_world, v0) = v2)) &  ! [v0: $ki_world] : ( ~
% 43.18/8.70      ($ki_accessible($ki_local_world, v0) = 0) |  ~ $ki_world(v0) | closed(v0, d)
% 43.18/8.70      = 0)
% 43.18/8.70  
% 43.18/8.70    (ax4)
% 43.18/8.70    $ki_world($ki_local_world) &  ! [v0: $ki_world] :  ! [v1: $i] : ( ~
% 43.18/8.70      (closed(v0, v1) = 0) |  ~ ($ki_accessible($ki_local_world, v0) = 0) |  ~
% 43.18/8.70      $ki_world(v0) |  ~ $i(v1) |  ? [v2: any] :  ? [v3: any] : (open(v0, v1) = v3
% 43.18/8.70        & $ki_exists_in_world_$i(v0, v1) = v2 & ( ~ (v3 = 0) |  ~ (v2 = 0)))) &  !
% 43.18/8.70    [v0: $ki_world] :  ! [v1: $i] : ( ~ (open(v0, v1) = 0) |  ~
% 43.18/8.70      ($ki_accessible($ki_local_world, v0) = 0) |  ~ $ki_world(v0) |  ~ $i(v1) | 
% 43.18/8.70      ? [v2: any] :  ? [v3: any] : (closed(v0, v1) = v3 &
% 43.18/8.70        $ki_exists_in_world_$i(v0, v1) = v2 & ( ~ (v3 = 0) |  ~ (v2 = 0)))) &  !
% 43.18/8.70    [v0: $ki_world] :  ! [v1: $i] : ( ~ ($ki_exists_in_world_$i(v0, v1) = 0) |  ~
% 43.18/8.70      ($ki_accessible($ki_local_world, v0) = 0) |  ~ $ki_world(v0) |  ~ $i(v1) | 
% 43.18/8.70      ? [v2: any] :  ? [v3: any] : (closed(v0, v1) = v3 & open(v0, v1) = v2 & ( ~
% 43.18/8.70          (v3 = 0) |  ~ (v2 = 0))))
% 43.18/8.70  
% 43.18/8.70    (mrel_reflexive)
% 43.18/8.70     ! [v0: $ki_world] :  ! [v1: int] : (v1 = 0 |  ~ ($ki_accessible(v0, v0) = v1)
% 43.18/8.70      |  ~ $ki_world(v0))
% 43.18/8.71  
% 43.18/8.71    (verify)
% 43.18/8.71    $ki_world($ki_local_world) & $i(d) &  ? [v0: $ki_world] :
% 43.18/8.71    ($ki_accessible($ki_local_world, v0) = 0 & $ki_world(v0) &  ! [v1: $i] :  !
% 43.18/8.71      [v2: $i] :  ! [v3: $ki_world] :  ! [v4: any] : ( ~ (h(v3, v2) = v4) |  ~
% 43.18/8.71        ($ki_exists_in_world_$i(v0, v2) = 0) |  ~ ($ki_exists_in_world_$i(v0, v1)
% 43.18/8.71          = 0) |  ~ $ki_world(v3) |  ~ $i(v2) |  ~ $i(v1) |  ? [v5: any] :  ? [v6:
% 43.18/8.71          any] : (combo(v3, d, v1) = v6 & $ki_accessible(v0, v3) = v5 & ( ~ (v5 =
% 43.18/8.71              0) | (v6 = 0 & v4 = 0)))) &  ! [v1: $i] :  ! [v2: $i] :  ! [v3:
% 43.18/8.71        $ki_world] :  ! [v4: any] : ( ~ (combo(v3, d, v1) = v4) |  ~
% 43.18/8.71        ($ki_exists_in_world_$i(v0, v2) = 0) |  ~ ($ki_exists_in_world_$i(v0, v1)
% 43.18/8.71          = 0) |  ~ $ki_world(v3) |  ~ $i(v2) |  ~ $i(v1) |  ? [v5: any] :  ? [v6:
% 43.18/8.71          any] : (h(v3, v2) = v6 & $ki_accessible(v0, v3) = v5 & ( ~ (v5 = 0) |
% 43.18/8.71            (v6 = 0 & v4 = 0)))) &  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $ki_world]
% 43.18/8.71      : ( ~ ($ki_exists_in_world_$i(v0, v2) = 0) |  ~ ($ki_exists_in_world_$i(v0,
% 43.18/8.71            v1) = 0) |  ~ ($ki_accessible(v0, v3) = 0) |  ~ $ki_world(v3) |  ~
% 43.18/8.71        $i(v2) |  ~ $i(v1) | (h(v3, v2) = 0 & combo(v3, d, v1) = 0)) &  ! [v1: $i]
% 43.18/8.71      :  ! [v2: $i] : ( ~ ($ki_exists_in_world_$i(v0, v2) = 0) |  ~
% 43.18/8.71        ($ki_exists_in_world_$i(v0, v1) = 0) |  ~ $i(v2) |  ~ $i(v1) |  ? [v3:
% 43.18/8.71          $ki_world] :  ? [v4: int] : ( ~ (v4 = 0) & open(v3, d) = v4 &
% 43.18/8.71          $ki_accessible(v0, v3) = 0 & $ki_world(v3))))
% 43.18/8.71  
% 43.18/8.71    (function-axioms)
% 43.18/8.71     ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  !
% 43.18/8.71    [v3: $i] :  ! [v4: $ki_world] : (v1 = v0 |  ~ (combo(v4, v3, v2) = v1) |  ~
% 43.18/8.71      (combo(v4, v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 43.18/8.71      MultipleValueBool] :  ! [v2: $i] :  ! [v3: $ki_world] : (v1 = v0 |  ~ (h(v3,
% 43.18/8.71          v2) = v1) |  ~ (h(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 43.18/8.71      MultipleValueBool] :  ! [v2: $i] :  ! [v3: $ki_world] : (v1 = v0 |  ~
% 43.18/8.71      (closed(v3, v2) = v1) |  ~ (closed(v3, v2) = v0)) &  ! [v0:
% 43.18/8.71      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3:
% 43.18/8.71      $ki_world] : (v1 = v0 |  ~ (open(v3, v2) = v1) |  ~ (open(v3, v2) = v0)) & 
% 43.18/8.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3:
% 43.18/8.71      $ki_world] : (v1 = v0 |  ~ ($ki_exists_in_world_$i(v3, v2) = v1) |  ~
% 43.18/8.71      ($ki_exists_in_world_$i(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 43.18/8.71    [v1: MultipleValueBool] :  ! [v2: $ki_world] :  ! [v3: $ki_world] : (v1 = v0 |
% 43.18/8.71       ~ ($ki_accessible(v3, v2) = v1) |  ~ ($ki_accessible(v3, v2) = v0))
% 43.18/8.71  
% 43.18/8.71  Further assumptions not needed in the proof:
% 43.18/8.71  --------------------------------------------
% 43.18/8.71  $ki_exists_in_world_$i_nonempty, ax3, ax5, mrel_transitive
% 43.18/8.71  
% 43.18/8.71  Those formulas are unsatisfiable:
% 43.18/8.71  ---------------------------------
% 43.18/8.71  
% 43.18/8.71  Begin of proof
% 43.18/8.72  | 
% 43.18/8.72  | ALPHA: (ax1) implies:
% 43.18/8.74  |   (1)   ! [v0: $ki_world] :  ! [v1: $i] :  ! [v2: $i] : ( ~
% 43.18/8.74  |          ($ki_exists_in_world_$i(v0, v2) = 0) |  ~ ($ki_exists_in_world_$i(v0,
% 43.18/8.74  |              v1) = 0) |  ~ ($ki_accessible($ki_local_world, v0) = 0) |  ~
% 43.18/8.74  |          $ki_world(v0) |  ~ $i(v2) |  ~ $i(v1) |  ? [v3: $i] :
% 43.18/8.74  |          ($ki_exists_in_world_$i(v0, v3) = 0 & $i(v3) &  ! [v4: $ki_world] : 
% 43.18/8.74  |            ! [v5: int] :  ! [v6: $ki_world] :  ! [v7: int] : (v7 = 0 | v5 = 0
% 43.18/8.74  |              |  ~ (closed(v6, v1) = v7) |  ~ (combo(v4, v1, v2) = v5) |  ~
% 43.18/8.74  |              $ki_world(v6) |  ~ $ki_world(v4) |  ? [v8: int] :  ? [v9: any] : 
% 43.18/8.74  |              ? [v10: any] : (( ~ (v8 = 0) & $ki_accessible(v4, v6) = v8) |
% 43.18/8.74  |                (h(v4, o) = v10 & closed(v4, v1) = v9 & $ki_accessible(v0, v4)
% 43.18/8.74  |                  = v8 & ( ~ (v10 = 0) |  ~ (v9 = 0) |  ~ (v8 = 0))))) &  !
% 43.18/8.74  |            [v4: $ki_world] :  ! [v5: $ki_world] :  ! [v6: int] : (v6 = 0 |  ~
% 43.18/8.74  |              (h(v4, v3) = 0) |  ~ (open(v5, v1) = v6) |  ~ $ki_world(v5) |  ~
% 43.18/8.74  |              $ki_world(v4) |  ? [v7: int] :  ? [v8: any] :  ? [v9: any] : (( ~
% 43.18/8.74  |                  (v7 = 0) & $ki_accessible(v4, v5) = v7) | (closed(v4, v1) =
% 43.18/8.74  |                  v8 & combo(v4, v1, v2) = v9 & $ki_accessible(v0, v4) = v7 & (
% 43.18/8.74  |                    ~ (v9 = 0) |  ~ (v8 = 0) |  ~ (v7 = 0))))) &  ! [v4:
% 43.18/8.74  |              $ki_world] :  ! [v5: $ki_world] :  ! [v6: int] : (v6 = 0 |  ~
% 43.18/8.74  |              (h(v4, o) = 0) |  ~ (closed(v5, v1) = v6) |  ~ $ki_world(v5) |  ~
% 43.18/8.74  |              $ki_world(v4) |  ? [v7: int] :  ? [v8: any] :  ? [v9: any] : (( ~
% 43.18/8.74  |                  (v7 = 0) & $ki_accessible(v4, v5) = v7) | (closed(v4, v1) =
% 43.18/8.74  |                  v8 & combo(v4, v1, v2) = v9 & $ki_accessible(v0, v4) = v7 & (
% 43.18/8.74  |                    ~ (v8 = 0) |  ~ (v7 = 0) | v9 = 0)))) &  ! [v4: $ki_world]
% 43.18/8.74  |            :  ! [v5: $ki_world] :  ! [v6: int] : (v6 = 0 |  ~ (closed(v5, v1)
% 43.18/8.74  |                = v6) |  ~ (closed(v4, v1) = 0) |  ~ $ki_world(v5) |  ~
% 43.18/8.74  |              $ki_world(v4) |  ? [v7: int] :  ? [v8: any] :  ? [v9: any] : (( ~
% 43.18/8.74  |                  (v7 = 0) & $ki_accessible(v4, v5) = v7) | (h(v4, o) = v9 &
% 43.18/8.74  |                  combo(v4, v1, v2) = v8 & $ki_accessible(v0, v4) = v7 & ( ~
% 43.18/8.74  |                    (v9 = 0) |  ~ (v7 = 0) | v8 = 0)))) &  ! [v4: $ki_world] : 
% 43.18/8.74  |            ! [v5: $ki_world] :  ! [v6: int] : (v6 = 0 |  ~ (closed(v5, v1) =
% 43.18/8.74  |                v6) |  ~ ($ki_accessible(v0, v4) = 0) |  ~ $ki_world(v5) |  ~
% 43.18/8.74  |              $ki_world(v4) |  ? [v7: int] :  ? [v8: any] :  ? [v9: any] : (( ~
% 43.18/8.74  |                  (v7 = 0) & $ki_accessible(v4, v5) = v7) | (h(v4, o) = v9 &
% 43.18/8.74  |                  closed(v4, v1) = v7 & combo(v4, v1, v2) = v8 & ( ~ (v9 = 0) |
% 43.18/8.74  |                     ~ (v7 = 0) | v8 = 0)))) &  ! [v4: $ki_world] :  ! [v5:
% 43.18/8.74  |              $ki_world] :  ! [v6: int] : (v6 = 0 |  ~ (closed(v4, v1) = 0) | 
% 43.18/8.74  |              ~ (open(v5, v1) = v6) |  ~ $ki_world(v5) |  ~ $ki_world(v4) |  ?
% 43.18/8.74  |              [v7: int] :  ? [v8: any] :  ? [v9: any] : (( ~ (v7 = 0) &
% 43.18/8.74  |                  $ki_accessible(v4, v5) = v7) | (h(v4, v3) = v9 & combo(v4,
% 43.18/8.74  |                    v1, v2) = v8 & $ki_accessible(v0, v4) = v7 & ( ~ (v9 = 0) |
% 43.18/8.74  |                     ~ (v8 = 0) |  ~ (v7 = 0))))) &  ! [v4: $ki_world] :  !
% 43.18/8.74  |            [v5: $ki_world] :  ! [v6: int] : (v6 = 0 |  ~ (combo(v4, v1, v2) =
% 43.18/8.74  |                0) |  ~ (open(v5, v1) = v6) |  ~ $ki_world(v5) |  ~
% 43.18/8.74  |              $ki_world(v4) |  ? [v7: int] :  ? [v8: any] :  ? [v9: any] : (( ~
% 43.18/8.74  |                  (v7 = 0) & $ki_accessible(v4, v5) = v7) | (h(v4, v3) = v9 &
% 43.18/8.74  |                  closed(v4, v1) = v8 & $ki_accessible(v0, v4) = v7 & ( ~ (v9 =
% 43.18/8.74  |                      0) |  ~ (v8 = 0) |  ~ (v7 = 0))))) &  ! [v4: $ki_world] :
% 43.18/8.74  |             ! [v5: $ki_world] :  ! [v6: int] : (v6 = 0 |  ~ (open(v5, v1) =
% 43.18/8.74  |                v6) |  ~ ($ki_accessible(v0, v4) = 0) |  ~ $ki_world(v5) |  ~
% 43.18/8.74  |              $ki_world(v4) |  ? [v7: int] :  ? [v8: any] :  ? [v9: any] : (( ~
% 43.18/8.74  |                  (v7 = 0) & $ki_accessible(v4, v5) = v7) | (h(v4, v3) = v9 &
% 43.18/8.74  |                  closed(v4, v1) = v7 & combo(v4, v1, v2) = v8 & ( ~ (v9 = 0) |
% 43.18/8.74  |                     ~ (v8 = 0) |  ~ (v7 = 0))))) &  ! [v4: $ki_world] :  !
% 43.18/8.74  |            [v5: int] :  ! [v6: $ki_world] : (v5 = 0 |  ~ (combo(v4, v1, v2) =
% 43.18/8.74  |                v5) |  ~ ($ki_accessible(v4, v6) = 0) |  ~ $ki_world(v6) |  ~
% 43.18/8.74  |              $ki_world(v4) |  ? [v7: int] :  ? [v8: any] :  ? [v9: any] : ((v7
% 43.18/8.74  |                  = 0 & closed(v6, v1) = 0) | (h(v4, o) = v9 & closed(v4, v1) =
% 43.18/8.74  |                  v8 & $ki_accessible(v0, v4) = v7 & ( ~ (v9 = 0) |  ~ (v8 = 0)
% 43.18/8.74  |                    |  ~ (v7 = 0))))) &  ! [v4: $ki_world] :  ! [v5: $ki_world]
% 43.18/8.74  |            : ( ~ (h(v4, v3) = 0) |  ~ ($ki_accessible(v4, v5) = 0) |  ~
% 43.18/8.74  |              $ki_world(v5) |  ~ $ki_world(v4) |  ? [v6: int] :  ? [v7: any] : 
% 43.18/8.74  |              ? [v8: any] : ((v6 = 0 & open(v5, v1) = 0) | (closed(v4, v1) = v7
% 43.18/8.74  |                  & combo(v4, v1, v2) = v8 & $ki_accessible(v0, v4) = v6 & ( ~
% 43.18/8.74  |                    (v8 = 0) |  ~ (v7 = 0) |  ~ (v6 = 0))))) &  ! [v4:
% 43.18/8.74  |              $ki_world] :  ! [v5: $ki_world] : ( ~ (h(v4, o) = 0) |  ~
% 43.18/8.74  |              ($ki_accessible(v4, v5) = 0) |  ~ $ki_world(v5) |  ~
% 43.18/8.74  |              $ki_world(v4) |  ? [v6: int] :  ? [v7: any] :  ? [v8: any] : ((v6
% 43.18/8.74  |                  = 0 & closed(v5, v1) = 0) | (closed(v4, v1) = v7 & combo(v4,
% 43.18/8.74  |                    v1, v2) = v8 & $ki_accessible(v0, v4) = v6 & ( ~ (v7 = 0) |
% 43.18/8.74  |                     ~ (v6 = 0) | v8 = 0)))) &  ! [v4: $ki_world] :  ! [v5:
% 43.18/8.74  |              $ki_world] : ( ~ (closed(v4, v1) = 0) |  ~ ($ki_accessible(v4,
% 43.18/8.74  |                  v5) = 0) |  ~ $ki_world(v5) |  ~ $ki_world(v4) |  ? [v6: int]
% 43.18/8.74  |              :  ? [v7: any] :  ? [v8: any] : ((v6 = 0 & closed(v5, v1) = 0) |
% 43.18/8.74  |                (h(v4, o) = v8 & combo(v4, v1, v2) = v7 & $ki_accessible(v0,
% 43.18/8.74  |                    v4) = v6 & ( ~ (v8 = 0) |  ~ (v6 = 0) | v7 = 0)))) &  !
% 43.18/8.74  |            [v4: $ki_world] :  ! [v5: $ki_world] : ( ~ (closed(v4, v1) = 0) | 
% 43.18/8.74  |              ~ ($ki_accessible(v4, v5) = 0) |  ~ $ki_world(v5) |  ~
% 43.18/8.74  |              $ki_world(v4) |  ? [v6: int] :  ? [v7: any] :  ? [v8: any] : ((v6
% 43.18/8.74  |                  = 0 & open(v5, v1) = 0) | (h(v4, v3) = v8 & combo(v4, v1, v2)
% 43.18/8.74  |                  = v7 & $ki_accessible(v0, v4) = v6 & ( ~ (v8 = 0) |  ~ (v7 =
% 43.18/8.74  |                      0) |  ~ (v6 = 0))))) &  ! [v4: $ki_world] :  ! [v5:
% 43.18/8.74  |              $ki_world] : ( ~ (combo(v4, v1, v2) = 0) |  ~ ($ki_accessible(v4,
% 43.18/8.74  |                  v5) = 0) |  ~ $ki_world(v5) |  ~ $ki_world(v4) |  ? [v6: int]
% 43.18/8.74  |              :  ? [v7: any] :  ? [v8: any] : ((v6 = 0 & open(v5, v1) = 0) |
% 43.18/8.74  |                (h(v4, v3) = v8 & closed(v4, v1) = v7 & $ki_accessible(v0, v4)
% 43.18/8.74  |                  = v6 & ( ~ (v8 = 0) |  ~ (v7 = 0) |  ~ (v6 = 0))))) &  ! [v4:
% 43.18/8.74  |              $ki_world] :  ! [v5: $ki_world] : ( ~ ($ki_accessible(v4, v5) =
% 43.18/8.74  |                0) |  ~ ($ki_accessible(v0, v4) = 0) |  ~ $ki_world(v5) |  ~
% 43.18/8.74  |              $ki_world(v4) |  ? [v6: int] :  ? [v7: any] :  ? [v8: any] : ((v6
% 43.18/8.74  |                  = 0 & closed(v5, v1) = 0) | (h(v4, o) = v8 & closed(v4, v1) =
% 43.18/8.74  |                  v6 & combo(v4, v1, v2) = v7 & ( ~ (v8 = 0) |  ~ (v6 = 0) | v7
% 43.18/8.74  |                    = 0)))) &  ! [v4: $ki_world] :  ! [v5: $ki_world] : ( ~
% 43.18/8.74  |              ($ki_accessible(v4, v5) = 0) |  ~ ($ki_accessible(v0, v4) = 0) | 
% 43.18/8.74  |              ~ $ki_world(v5) |  ~ $ki_world(v4) |  ? [v6: int] :  ? [v7: any]
% 43.18/8.74  |              :  ? [v8: any] : ((v6 = 0 & open(v5, v1) = 0) | (h(v4, v3) = v8 &
% 43.18/8.74  |                  closed(v4, v1) = v6 & combo(v4, v1, v2) = v7 & ( ~ (v8 = 0) |
% 43.18/8.74  |                     ~ (v7 = 0) |  ~ (v6 = 0)))))))
% 43.18/8.74  | 
% 43.18/8.74  | ALPHA: (ax2) implies:
% 43.18/8.74  |   (2)   ! [v0: $ki_world] : ( ~ ($ki_accessible($ki_local_world, v0) = 0) |  ~
% 43.18/8.74  |          $ki_world(v0) | closed(v0, d) = 0)
% 43.18/8.74  | 
% 43.18/8.74  | ALPHA: (ax4) implies:
% 43.18/8.74  |   (3)   ! [v0: $ki_world] :  ! [v1: $i] : ( ~ (closed(v0, v1) = 0) |  ~
% 43.18/8.74  |          ($ki_accessible($ki_local_world, v0) = 0) |  ~ $ki_world(v0) |  ~
% 43.18/8.74  |          $i(v1) |  ? [v2: any] :  ? [v3: any] : (open(v0, v1) = v3 &
% 43.18/8.74  |            $ki_exists_in_world_$i(v0, v1) = v2 & ( ~ (v3 = 0) |  ~ (v2 = 0))))
% 43.18/8.74  | 
% 43.18/8.74  | ALPHA: (verify) implies:
% 43.18/8.75  |   (4)  $i(d)
% 43.18/8.75  |   (5)   ? [v0: $ki_world] : ($ki_accessible($ki_local_world, v0) = 0 &
% 43.18/8.75  |          $ki_world(v0) &  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $ki_world] :  !
% 43.18/8.75  |          [v4: any] : ( ~ (h(v3, v2) = v4) |  ~ ($ki_exists_in_world_$i(v0, v2)
% 43.18/8.75  |              = 0) |  ~ ($ki_exists_in_world_$i(v0, v1) = 0) |  ~ $ki_world(v3)
% 43.18/8.75  |            |  ~ $i(v2) |  ~ $i(v1) |  ? [v5: any] :  ? [v6: any] : (combo(v3,
% 43.18/8.75  |                d, v1) = v6 & $ki_accessible(v0, v3) = v5 & ( ~ (v5 = 0) | (v6
% 43.18/8.75  |                  = 0 & v4 = 0)))) &  ! [v1: $i] :  ! [v2: $i] :  ! [v3:
% 43.18/8.75  |            $ki_world] :  ! [v4: any] : ( ~ (combo(v3, d, v1) = v4) |  ~
% 43.18/8.75  |            ($ki_exists_in_world_$i(v0, v2) = 0) |  ~
% 43.18/8.75  |            ($ki_exists_in_world_$i(v0, v1) = 0) |  ~ $ki_world(v3) |  ~ $i(v2)
% 43.18/8.75  |            |  ~ $i(v1) |  ? [v5: any] :  ? [v6: any] : (h(v3, v2) = v6 &
% 43.18/8.75  |              $ki_accessible(v0, v3) = v5 & ( ~ (v5 = 0) | (v6 = 0 & v4 = 0))))
% 43.18/8.75  |          &  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $ki_world] : ( ~
% 43.18/8.75  |            ($ki_exists_in_world_$i(v0, v2) = 0) |  ~
% 43.18/8.75  |            ($ki_exists_in_world_$i(v0, v1) = 0) |  ~ ($ki_accessible(v0, v3) =
% 43.18/8.75  |              0) |  ~ $ki_world(v3) |  ~ $i(v2) |  ~ $i(v1) | (h(v3, v2) = 0 &
% 43.18/8.75  |              combo(v3, d, v1) = 0)) &  ! [v1: $i] :  ! [v2: $i] : ( ~
% 43.18/8.75  |            ($ki_exists_in_world_$i(v0, v2) = 0) |  ~
% 43.18/8.75  |            ($ki_exists_in_world_$i(v0, v1) = 0) |  ~ $i(v2) |  ~ $i(v1) |  ?
% 43.18/8.75  |            [v3: $ki_world] :  ? [v4: int] : ( ~ (v4 = 0) & open(v3, d) = v4 &
% 43.18/8.75  |              $ki_accessible(v0, v3) = 0 & $ki_world(v3))))
% 43.18/8.75  | 
% 43.18/8.75  | ALPHA: (function-axioms) implies:
% 43.18/8.76  |   (6)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 43.18/8.76  |          $ki_world] :  ! [v3: $ki_world] : (v1 = v0 |  ~ ($ki_accessible(v3,
% 43.18/8.76  |              v2) = v1) |  ~ ($ki_accessible(v3, v2) = v0))
% 43.18/8.76  |   (7)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :
% 43.18/8.76  |         ! [v3: $ki_world] : (v1 = v0 |  ~ (open(v3, v2) = v1) |  ~ (open(v3,
% 43.18/8.76  |              v2) = v0))
% 43.18/8.76  |   (8)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :
% 43.18/8.76  |         ! [v3: $ki_world] : (v1 = v0 |  ~ (h(v3, v2) = v1) |  ~ (h(v3, v2) =
% 43.18/8.76  |            v0))
% 43.18/8.76  |   (9)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :
% 43.18/8.76  |         ! [v3: $i] :  ! [v4: $ki_world] : (v1 = v0 |  ~ (combo(v4, v3, v2) =
% 43.18/8.76  |            v1) |  ~ (combo(v4, v3, v2) = v0))
% 43.18/8.76  | 
% 43.18/8.76  | DELTA: instantiating (5) with fresh symbol all_17_0 gives:
% 43.18/8.77  |   (10)  $ki_accessible($ki_local_world, all_17_0) = 0 & $ki_world(all_17_0) & 
% 43.18/8.77  |         ! [v0: $i] :  ! [v1: $i] :  ! [v2: $ki_world] :  ! [v3: any] : ( ~
% 43.18/8.77  |           (h(v2, v1) = v3) |  ~ ($ki_exists_in_world_$i(all_17_0, v1) = 0) | 
% 43.18/8.77  |           ~ ($ki_exists_in_world_$i(all_17_0, v0) = 0) |  ~ $ki_world(v2) |  ~
% 43.18/8.77  |           $i(v1) |  ~ $i(v0) |  ? [v4: any] :  ? [v5: any] : (combo(v2, d, v0)
% 43.18/8.77  |             = v5 & $ki_accessible(all_17_0, v2) = v4 & ( ~ (v4 = 0) | (v5 = 0
% 43.18/8.77  |                 & v3 = 0)))) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $ki_world]
% 43.18/8.77  |         :  ! [v3: any] : ( ~ (combo(v2, d, v0) = v3) |  ~
% 43.18/8.77  |           ($ki_exists_in_world_$i(all_17_0, v1) = 0) |  ~
% 43.18/8.77  |           ($ki_exists_in_world_$i(all_17_0, v0) = 0) |  ~ $ki_world(v2) |  ~
% 43.18/8.77  |           $i(v1) |  ~ $i(v0) |  ? [v4: any] :  ? [v5: any] : (h(v2, v1) = v5 &
% 43.18/8.77  |             $ki_accessible(all_17_0, v2) = v4 & ( ~ (v4 = 0) | (v5 = 0 & v3 =
% 43.18/8.77  |                 0)))) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $ki_world] : ( ~
% 43.18/8.77  |           ($ki_exists_in_world_$i(all_17_0, v1) = 0) |  ~
% 43.18/8.77  |           ($ki_exists_in_world_$i(all_17_0, v0) = 0) |  ~
% 43.18/8.77  |           ($ki_accessible(all_17_0, v2) = 0) |  ~ $ki_world(v2) |  ~ $i(v1) | 
% 43.18/8.77  |           ~ $i(v0) | (h(v2, v1) = 0 & combo(v2, d, v0) = 0)) &  ! [v0: $i] : 
% 43.18/8.77  |         ! [v1: $i] : ( ~ ($ki_exists_in_world_$i(all_17_0, v1) = 0) |  ~
% 43.18/8.77  |           ($ki_exists_in_world_$i(all_17_0, v0) = 0) |  ~ $i(v1) |  ~ $i(v0) |
% 43.18/8.77  |            ? [v2: $ki_world] :  ? [v3: int] : ( ~ (v3 = 0) & open(v2, d) = v3
% 43.18/8.77  |             & $ki_accessible(all_17_0, v2) = 0 & $ki_world(v2)))
% 43.18/8.77  | 
% 43.18/8.77  | ALPHA: (10) implies:
% 43.18/8.77  |   (11)  $ki_world(all_17_0)
% 43.18/8.77  |   (12)  $ki_accessible($ki_local_world, all_17_0) = 0
% 43.66/8.77  |   (13)   ! [v0: $i] :  ! [v1: $i] : ( ~ ($ki_exists_in_world_$i(all_17_0, v1)
% 43.66/8.77  |             = 0) |  ~ ($ki_exists_in_world_$i(all_17_0, v0) = 0) |  ~ $i(v1) |
% 43.66/8.77  |            ~ $i(v0) |  ? [v2: $ki_world] :  ? [v3: int] : ( ~ (v3 = 0) &
% 43.66/8.77  |             open(v2, d) = v3 & $ki_accessible(all_17_0, v2) = 0 &
% 43.66/8.77  |             $ki_world(v2)))
% 43.66/8.78  |   (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $ki_world] :  ! [v3: any] : ( ~
% 43.66/8.78  |           (combo(v2, d, v0) = v3) |  ~ ($ki_exists_in_world_$i(all_17_0, v1) =
% 43.66/8.78  |             0) |  ~ ($ki_exists_in_world_$i(all_17_0, v0) = 0) |  ~
% 43.66/8.78  |           $ki_world(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v4: any] :  ? [v5: any]
% 43.66/8.78  |           : (h(v2, v1) = v5 & $ki_accessible(all_17_0, v2) = v4 & ( ~ (v4 = 0)
% 43.66/8.78  |               | (v5 = 0 & v3 = 0))))
% 43.66/8.78  |   (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $ki_world] :  ! [v3: any] : ( ~
% 43.66/8.78  |           (h(v2, v1) = v3) |  ~ ($ki_exists_in_world_$i(all_17_0, v1) = 0) | 
% 43.66/8.78  |           ~ ($ki_exists_in_world_$i(all_17_0, v0) = 0) |  ~ $ki_world(v2) |  ~
% 43.66/8.78  |           $i(v1) |  ~ $i(v0) |  ? [v4: any] :  ? [v5: any] : (combo(v2, d, v0)
% 43.66/8.78  |             = v5 & $ki_accessible(all_17_0, v2) = v4 & ( ~ (v4 = 0) | (v5 = 0
% 43.66/8.78  |                 & v3 = 0))))
% 43.66/8.78  | 
% 43.66/8.78  | GROUND_INST: instantiating (2) with all_17_0, simplifying with (11), (12)
% 43.66/8.78  |              gives:
% 43.66/8.78  |   (16)  closed(all_17_0, d) = 0
% 43.66/8.78  | 
% 43.66/8.78  | GROUND_INST: instantiating (3) with all_17_0, d, simplifying with (4), (11),
% 43.66/8.78  |              (12), (16) gives:
% 43.66/8.78  |   (17)   ? [v0: any] :  ? [v1: any] : (open(all_17_0, d) = v1 &
% 43.66/8.78  |           $ki_exists_in_world_$i(all_17_0, d) = v0 & ( ~ (v1 = 0) |  ~ (v0 =
% 43.66/8.78  |               0)))
% 43.66/8.78  | 
% 43.66/8.78  | DELTA: instantiating (17) with fresh symbols all_33_0, all_33_1 gives:
% 43.66/8.78  |   (18)  open(all_17_0, d) = all_33_0 & $ki_exists_in_world_$i(all_17_0, d) =
% 43.66/8.78  |         all_33_1 & ( ~ (all_33_0 = 0) |  ~ (all_33_1 = 0))
% 43.66/8.78  | 
% 43.66/8.78  | ALPHA: (18) implies:
% 43.66/8.78  |   (19)  $ki_exists_in_world_$i(all_17_0, d) = all_33_1
% 43.66/8.78  |   (20)  open(all_17_0, d) = all_33_0
% 43.66/8.78  |   (21)   ~ (all_33_0 = 0) |  ~ (all_33_1 = 0)
% 43.66/8.78  | 
% 43.66/8.78  | GROUND_INST: instantiating ($ki_exists_in_world_$i_const) with all_17_0, d,
% 43.66/8.78  |              all_33_1, simplifying with (4), (11), (19) gives:
% 43.66/8.79  |   (22)  all_33_1 = 0
% 43.66/8.79  | 
% 43.66/8.79  | REDUCE: (19), (22) imply:
% 43.66/8.79  |   (23)  $ki_exists_in_world_$i(all_17_0, d) = 0
% 43.66/8.79  | 
% 43.66/8.79  | BETA: splitting (21) gives:
% 43.66/8.79  | 
% 43.66/8.79  | Case 1:
% 43.66/8.79  | | 
% 43.66/8.79  | |   (24)   ~ (all_33_0 = 0)
% 43.66/8.79  | | 
% 43.66/8.79  | | GROUND_INST: instantiating (1) with all_17_0, d, d, simplifying with (4),
% 43.66/8.79  | |              (11), (12), (23) gives:
% 43.78/8.81  | |   (25)   ? [v0: $i] : ($ki_exists_in_world_$i(all_17_0, v0) = 0 & $i(v0) & 
% 43.78/8.81  | |           ! [v1: $ki_world] :  ! [v2: int] :  ! [v3: $ki_world] :  ! [v4:
% 43.78/8.81  | |             int] : (v4 = 0 | v2 = 0 |  ~ (closed(v3, d) = v4) |  ~
% 43.78/8.81  | |             (combo(v1, d, d) = v2) |  ~ $ki_world(v3) |  ~ $ki_world(v1) | 
% 43.78/8.81  | |             ? [v5: int] :  ? [v6: any] :  ? [v7: any] : (( ~ (v5 = 0) &
% 43.78/8.81  | |                 $ki_accessible(v1, v3) = v5) | (h(v1, o) = v7 & closed(v1,
% 43.78/8.81  | |                   d) = v6 & $ki_accessible(all_17_0, v1) = v5 & ( ~ (v7 = 0)
% 43.78/8.81  | |                   |  ~ (v6 = 0) |  ~ (v5 = 0))))) &  ! [v1: $ki_world] :  !
% 43.78/8.81  | |           [v2: $ki_world] :  ! [v3: int] : (v3 = 0 |  ~ (h(v1, v0) = 0) |  ~
% 43.78/8.81  | |             (open(v2, d) = v3) |  ~ $ki_world(v2) |  ~ $ki_world(v1) |  ?
% 43.78/8.81  | |             [v4: int] :  ? [v5: any] :  ? [v6: any] : (( ~ (v4 = 0) &
% 43.78/8.81  | |                 $ki_accessible(v1, v2) = v4) | (closed(v1, d) = v5 &
% 43.78/8.81  | |                 combo(v1, d, d) = v6 & $ki_accessible(all_17_0, v1) = v4 & (
% 43.78/8.81  | |                   ~ (v6 = 0) |  ~ (v5 = 0) |  ~ (v4 = 0))))) &  ! [v1:
% 43.78/8.81  | |             $ki_world] :  ! [v2: $ki_world] :  ! [v3: int] : (v3 = 0 |  ~
% 43.78/8.81  | |             (h(v1, o) = 0) |  ~ (closed(v2, d) = v3) |  ~ $ki_world(v2) |  ~
% 43.78/8.81  | |             $ki_world(v1) |  ? [v4: int] :  ? [v5: any] :  ? [v6: any] : ((
% 43.78/8.81  | |                 ~ (v4 = 0) & $ki_accessible(v1, v2) = v4) | (closed(v1, d) =
% 43.78/8.81  | |                 v5 & combo(v1, d, d) = v6 & $ki_accessible(all_17_0, v1) =
% 43.78/8.81  | |                 v4 & ( ~ (v5 = 0) |  ~ (v4 = 0) | v6 = 0)))) &  ! [v1:
% 43.78/8.81  | |             $ki_world] :  ! [v2: $ki_world] :  ! [v3: int] : (v3 = 0 |  ~
% 43.78/8.81  | |             (closed(v2, d) = v3) |  ~ (closed(v1, d) = 0) |  ~ $ki_world(v2)
% 43.78/8.81  | |             |  ~ $ki_world(v1) |  ? [v4: int] :  ? [v5: any] :  ? [v6: any]
% 43.78/8.81  | |             : (( ~ (v4 = 0) & $ki_accessible(v1, v2) = v4) | (h(v1, o) = v6
% 43.78/8.81  | |                 & combo(v1, d, d) = v5 & $ki_accessible(all_17_0, v1) = v4 &
% 43.78/8.81  | |                 ( ~ (v6 = 0) |  ~ (v4 = 0) | v5 = 0)))) &  ! [v1: $ki_world]
% 43.78/8.81  | |           :  ! [v2: $ki_world] :  ! [v3: int] : (v3 = 0 |  ~ (closed(v2, d)
% 43.78/8.81  | |               = v3) |  ~ ($ki_accessible(all_17_0, v1) = 0) |  ~
% 43.78/8.81  | |             $ki_world(v2) |  ~ $ki_world(v1) |  ? [v4: int] :  ? [v5: any] :
% 43.78/8.81  | |              ? [v6: any] : (( ~ (v4 = 0) & $ki_accessible(v1, v2) = v4) |
% 43.78/8.81  | |               (h(v1, o) = v6 & closed(v1, d) = v4 & combo(v1, d, d) = v5 & (
% 43.78/8.81  | |                   ~ (v6 = 0) |  ~ (v4 = 0) | v5 = 0)))) &  ! [v1: $ki_world]
% 43.78/8.81  | |           :  ! [v2: $ki_world] :  ! [v3: int] : (v3 = 0 |  ~ (closed(v1, d)
% 43.78/8.81  | |               = 0) |  ~ (open(v2, d) = v3) |  ~ $ki_world(v2) |  ~
% 43.78/8.81  | |             $ki_world(v1) |  ? [v4: int] :  ? [v5: any] :  ? [v6: any] : ((
% 43.78/8.81  | |                 ~ (v4 = 0) & $ki_accessible(v1, v2) = v4) | (h(v1, v0) = v6
% 43.78/8.81  | |                 & combo(v1, d, d) = v5 & $ki_accessible(all_17_0, v1) = v4 &
% 43.78/8.81  | |                 ( ~ (v6 = 0) |  ~ (v5 = 0) |  ~ (v4 = 0))))) &  ! [v1:
% 43.78/8.81  | |             $ki_world] :  ! [v2: $ki_world] :  ! [v3: int] : (v3 = 0 |  ~
% 43.78/8.81  | |             (combo(v1, d, d) = 0) |  ~ (open(v2, d) = v3) |  ~ $ki_world(v2)
% 43.78/8.81  | |             |  ~ $ki_world(v1) |  ? [v4: int] :  ? [v5: any] :  ? [v6: any]
% 43.78/8.81  | |             : (( ~ (v4 = 0) & $ki_accessible(v1, v2) = v4) | (h(v1, v0) = v6
% 43.78/8.81  | |                 & closed(v1, d) = v5 & $ki_accessible(all_17_0, v1) = v4 & (
% 43.78/8.81  | |                   ~ (v6 = 0) |  ~ (v5 = 0) |  ~ (v4 = 0))))) &  ! [v1:
% 43.78/8.81  | |             $ki_world] :  ! [v2: $ki_world] :  ! [v3: int] : (v3 = 0 |  ~
% 43.78/8.81  | |             (open(v2, d) = v3) |  ~ ($ki_accessible(all_17_0, v1) = 0) |  ~
% 43.78/8.81  | |             $ki_world(v2) |  ~ $ki_world(v1) |  ? [v4: int] :  ? [v5: any] :
% 43.78/8.81  | |              ? [v6: any] : (( ~ (v4 = 0) & $ki_accessible(v1, v2) = v4) |
% 43.78/8.81  | |               (h(v1, v0) = v6 & closed(v1, d) = v4 & combo(v1, d, d) = v5 &
% 43.78/8.81  | |                 ( ~ (v6 = 0) |  ~ (v5 = 0) |  ~ (v4 = 0))))) &  ! [v1:
% 43.78/8.81  | |             $ki_world] :  ! [v2: int] :  ! [v3: $ki_world] : (v2 = 0 |  ~
% 43.78/8.81  | |             (combo(v1, d, d) = v2) |  ~ ($ki_accessible(v1, v3) = 0) |  ~
% 43.78/8.81  | |             $ki_world(v3) |  ~ $ki_world(v1) |  ? [v4: int] :  ? [v5: any] :
% 43.78/8.81  | |              ? [v6: any] : ((v4 = 0 & closed(v3, d) = 0) | (h(v1, o) = v6 &
% 43.78/8.81  | |                 closed(v1, d) = v5 & $ki_accessible(all_17_0, v1) = v4 & ( ~
% 43.78/8.81  | |                   (v6 = 0) |  ~ (v5 = 0) |  ~ (v4 = 0))))) &  ! [v1:
% 43.78/8.81  | |             $ki_world] :  ! [v2: $ki_world] : ( ~ (h(v1, v0) = 0) |  ~
% 43.78/8.81  | |             ($ki_accessible(v1, v2) = 0) |  ~ $ki_world(v2) |  ~
% 43.78/8.81  | |             $ki_world(v1) |  ? [v3: int] :  ? [v4: any] :  ? [v5: any] :
% 43.78/8.81  | |             ((v3 = 0 & open(v2, d) = 0) | (closed(v1, d) = v4 & combo(v1, d,
% 43.78/8.81  | |                   d) = v5 & $ki_accessible(all_17_0, v1) = v3 & ( ~ (v5 = 0)
% 43.78/8.81  | |                   |  ~ (v4 = 0) |  ~ (v3 = 0))))) &  ! [v1: $ki_world] :  !
% 43.78/8.81  | |           [v2: $ki_world] : ( ~ (h(v1, o) = 0) |  ~ ($ki_accessible(v1, v2)
% 43.78/8.81  | |               = 0) |  ~ $ki_world(v2) |  ~ $ki_world(v1) |  ? [v3: int] :  ?
% 43.78/8.81  | |             [v4: any] :  ? [v5: any] : ((v3 = 0 & closed(v2, d) = 0) |
% 43.78/8.81  | |               (closed(v1, d) = v4 & combo(v1, d, d) = v5 &
% 43.78/8.81  | |                 $ki_accessible(all_17_0, v1) = v3 & ( ~ (v4 = 0) |  ~ (v3 =
% 43.78/8.81  | |                     0) | v5 = 0)))) &  ! [v1: $ki_world] :  ! [v2:
% 43.78/8.81  | |             $ki_world] : ( ~ (closed(v1, d) = 0) |  ~ ($ki_accessible(v1,
% 43.78/8.81  | |                 v2) = 0) |  ~ $ki_world(v2) |  ~ $ki_world(v1) |  ? [v3:
% 43.78/8.81  | |               int] :  ? [v4: any] :  ? [v5: any] : ((v3 = 0 & closed(v2, d)
% 43.78/8.81  | |                 = 0) | (h(v1, o) = v5 & combo(v1, d, d) = v4 &
% 43.78/8.81  | |                 $ki_accessible(all_17_0, v1) = v3 & ( ~ (v5 = 0) |  ~ (v3 =
% 43.78/8.81  | |                     0) | v4 = 0)))) &  ! [v1: $ki_world] :  ! [v2:
% 43.78/8.81  | |             $ki_world] : ( ~ (closed(v1, d) = 0) |  ~ ($ki_accessible(v1,
% 43.78/8.81  | |                 v2) = 0) |  ~ $ki_world(v2) |  ~ $ki_world(v1) |  ? [v3:
% 43.78/8.81  | |               int] :  ? [v4: any] :  ? [v5: any] : ((v3 = 0 & open(v2, d) =
% 43.78/8.81  | |                 0) | (h(v1, v0) = v5 & combo(v1, d, d) = v4 &
% 43.78/8.81  | |                 $ki_accessible(all_17_0, v1) = v3 & ( ~ (v5 = 0) |  ~ (v4 =
% 43.78/8.81  | |                     0) |  ~ (v3 = 0))))) &  ! [v1: $ki_world] :  ! [v2:
% 43.78/8.81  | |             $ki_world] : ( ~ (combo(v1, d, d) = 0) |  ~ ($ki_accessible(v1,
% 43.78/8.81  | |                 v2) = 0) |  ~ $ki_world(v2) |  ~ $ki_world(v1) |  ? [v3:
% 43.78/8.81  | |               int] :  ? [v4: any] :  ? [v5: any] : ((v3 = 0 & open(v2, d) =
% 43.78/8.81  | |                 0) | (h(v1, v0) = v5 & closed(v1, d) = v4 &
% 43.78/8.81  | |                 $ki_accessible(all_17_0, v1) = v3 & ( ~ (v5 = 0) |  ~ (v4 =
% 43.78/8.81  | |                     0) |  ~ (v3 = 0))))) &  ! [v1: $ki_world] :  ! [v2:
% 43.78/8.81  | |             $ki_world] : ( ~ ($ki_accessible(v1, v2) = 0) |  ~
% 43.78/8.81  | |             ($ki_accessible(all_17_0, v1) = 0) |  ~ $ki_world(v2) |  ~
% 43.78/8.81  | |             $ki_world(v1) |  ? [v3: int] :  ? [v4: any] :  ? [v5: any] :
% 43.78/8.81  | |             ((v3 = 0 & closed(v2, d) = 0) | (h(v1, o) = v5 & closed(v1, d) =
% 43.78/8.81  | |                 v3 & combo(v1, d, d) = v4 & ( ~ (v5 = 0) |  ~ (v3 = 0) | v4
% 43.78/8.81  | |                   = 0)))) &  ! [v1: $ki_world] :  ! [v2: $ki_world] : ( ~
% 43.78/8.81  | |             ($ki_accessible(v1, v2) = 0) |  ~ ($ki_accessible(all_17_0, v1)
% 43.78/8.81  | |               = 0) |  ~ $ki_world(v2) |  ~ $ki_world(v1) |  ? [v3: int] :  ?
% 43.78/8.81  | |             [v4: any] :  ? [v5: any] : ((v3 = 0 & open(v2, d) = 0) | (h(v1,
% 43.78/8.81  | |                   v0) = v5 & closed(v1, d) = v3 & combo(v1, d, d) = v4 & ( ~
% 43.78/8.81  | |                   (v5 = 0) |  ~ (v4 = 0) |  ~ (v3 = 0))))))
% 43.78/8.81  | | 
% 43.78/8.81  | | GROUND_INST: instantiating (13) with d, d, simplifying with (4), (23) gives:
% 43.78/8.82  | |   (26)   ? [v0: $ki_world] :  ? [v1: int] : ( ~ (v1 = 0) & open(v0, d) = v1
% 43.78/8.82  | |           & $ki_accessible(all_17_0, v0) = 0 & $ki_world(v0))
% 43.78/8.82  | | 
% 43.78/8.82  | | DELTA: instantiating (26) with fresh symbols all_50_0, all_50_1 gives:
% 43.78/8.82  | |   (27)   ~ (all_50_0 = 0) & open(all_50_1, d) = all_50_0 &
% 43.78/8.82  | |         $ki_accessible(all_17_0, all_50_1) = 0 & $ki_world(all_50_1)
% 43.78/8.82  | | 
% 43.78/8.82  | | ALPHA: (27) implies:
% 43.78/8.82  | |   (28)   ~ (all_50_0 = 0)
% 43.78/8.82  | |   (29)  $ki_world(all_50_1)
% 43.78/8.82  | |   (30)  $ki_accessible(all_17_0, all_50_1) = 0
% 43.78/8.82  | |   (31)  open(all_50_1, d) = all_50_0
% 43.78/8.82  | | 
% 43.78/8.82  | | DELTA: instantiating (25) with fresh symbol all_52_0 gives:
% 43.89/8.84  | |   (32)  $ki_exists_in_world_$i(all_17_0, all_52_0) = 0 & $i(all_52_0) &  !
% 43.89/8.84  | |         [v0: $ki_world] :  ! [v1: int] :  ! [v2: $ki_world] :  ! [v3: int] :
% 43.89/8.84  | |         (v3 = 0 | v1 = 0 |  ~ (closed(v2, d) = v3) |  ~ (combo(v0, d, d) =
% 43.89/8.84  | |             v1) |  ~ $ki_world(v2) |  ~ $ki_world(v0) |  ? [v4: int] :  ?
% 43.89/8.84  | |           [v5: any] :  ? [v6: any] : (( ~ (v4 = 0) & $ki_accessible(v0, v2)
% 43.89/8.84  | |               = v4) | (h(v0, o) = v6 & closed(v0, d) = v5 &
% 43.89/8.84  | |               $ki_accessible(all_17_0, v0) = v4 & ( ~ (v6 = 0) |  ~ (v5 = 0)
% 43.89/8.84  | |                 |  ~ (v4 = 0))))) &  ! [v0: $ki_world] :  ! [v1: $ki_world]
% 43.89/8.84  | |         :  ! [v2: int] : (v2 = 0 |  ~ (h(v0, all_52_0) = 0) |  ~ (open(v1,
% 43.89/8.84  | |               d) = v2) |  ~ $ki_world(v1) |  ~ $ki_world(v0) |  ? [v3: int]
% 43.89/8.84  | |           :  ? [v4: any] :  ? [v5: any] : (( ~ (v3 = 0) & $ki_accessible(v0,
% 43.89/8.84  | |                 v1) = v3) | (closed(v0, d) = v4 & combo(v0, d, d) = v5 &
% 43.89/8.84  | |               $ki_accessible(all_17_0, v0) = v3 & ( ~ (v5 = 0) |  ~ (v4 = 0)
% 43.89/8.84  | |                 |  ~ (v3 = 0))))) &  ! [v0: $ki_world] :  ! [v1: $ki_world]
% 43.89/8.84  | |         :  ! [v2: int] : (v2 = 0 |  ~ (h(v0, o) = 0) |  ~ (closed(v1, d) =
% 43.89/8.84  | |             v2) |  ~ $ki_world(v1) |  ~ $ki_world(v0) |  ? [v3: int] :  ?
% 43.89/8.84  | |           [v4: any] :  ? [v5: any] : (( ~ (v3 = 0) & $ki_accessible(v0, v1)
% 43.89/8.84  | |               = v3) | (closed(v0, d) = v4 & combo(v0, d, d) = v5 &
% 43.89/8.84  | |               $ki_accessible(all_17_0, v0) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0)
% 43.89/8.84  | |                 | v5 = 0)))) &  ! [v0: $ki_world] :  ! [v1: $ki_world] :  !
% 43.89/8.84  | |         [v2: int] : (v2 = 0 |  ~ (closed(v1, d) = v2) |  ~ (closed(v0, d) =
% 43.89/8.84  | |             0) |  ~ $ki_world(v1) |  ~ $ki_world(v0) |  ? [v3: int] :  ?
% 43.89/8.84  | |           [v4: any] :  ? [v5: any] : (( ~ (v3 = 0) & $ki_accessible(v0, v1)
% 43.89/8.84  | |               = v3) | (h(v0, o) = v5 & combo(v0, d, d) = v4 &
% 43.89/8.84  | |               $ki_accessible(all_17_0, v0) = v3 & ( ~ (v5 = 0) |  ~ (v3 = 0)
% 43.89/8.84  | |                 | v4 = 0)))) &  ! [v0: $ki_world] :  ! [v1: $ki_world] :  !
% 43.89/8.84  | |         [v2: int] : (v2 = 0 |  ~ (closed(v1, d) = v2) |  ~
% 43.89/8.84  | |           ($ki_accessible(all_17_0, v0) = 0) |  ~ $ki_world(v1) |  ~
% 43.89/8.84  | |           $ki_world(v0) |  ? [v3: int] :  ? [v4: any] :  ? [v5: any] : (( ~
% 43.89/8.84  | |               (v3 = 0) & $ki_accessible(v0, v1) = v3) | (h(v0, o) = v5 &
% 43.89/8.84  | |               closed(v0, d) = v3 & combo(v0, d, d) = v4 & ( ~ (v5 = 0) |  ~
% 43.89/8.84  | |                 (v3 = 0) | v4 = 0)))) &  ! [v0: $ki_world] :  ! [v1:
% 43.89/8.84  | |           $ki_world] :  ! [v2: int] : (v2 = 0 |  ~ (closed(v0, d) = 0) |  ~
% 43.89/8.84  | |           (open(v1, d) = v2) |  ~ $ki_world(v1) |  ~ $ki_world(v0) |  ? [v3:
% 43.89/8.84  | |             int] :  ? [v4: any] :  ? [v5: any] : (( ~ (v3 = 0) &
% 43.89/8.84  | |               $ki_accessible(v0, v1) = v3) | (h(v0, all_52_0) = v5 &
% 43.89/8.84  | |               combo(v0, d, d) = v4 & $ki_accessible(all_17_0, v0) = v3 & ( ~
% 43.89/8.84  | |                 (v5 = 0) |  ~ (v4 = 0) |  ~ (v3 = 0))))) &  ! [v0:
% 43.89/8.84  | |           $ki_world] :  ! [v1: $ki_world] :  ! [v2: int] : (v2 = 0 |  ~
% 43.89/8.84  | |           (combo(v0, d, d) = 0) |  ~ (open(v1, d) = v2) |  ~ $ki_world(v1) |
% 43.89/8.84  | |            ~ $ki_world(v0) |  ? [v3: int] :  ? [v4: any] :  ? [v5: any] : ((
% 43.89/8.84  | |               ~ (v3 = 0) & $ki_accessible(v0, v1) = v3) | (h(v0, all_52_0) =
% 43.89/8.84  | |               v5 & closed(v0, d) = v4 & $ki_accessible(all_17_0, v0) = v3 &
% 43.89/8.84  | |               ( ~ (v5 = 0) |  ~ (v4 = 0) |  ~ (v3 = 0))))) &  ! [v0:
% 43.89/8.84  | |           $ki_world] :  ! [v1: $ki_world] :  ! [v2: int] : (v2 = 0 |  ~
% 43.89/8.84  | |           (open(v1, d) = v2) |  ~ ($ki_accessible(all_17_0, v0) = 0) |  ~
% 43.89/8.84  | |           $ki_world(v1) |  ~ $ki_world(v0) |  ? [v3: int] :  ? [v4: any] : 
% 43.89/8.84  | |           ? [v5: any] : (( ~ (v3 = 0) & $ki_accessible(v0, v1) = v3) |
% 43.89/8.84  | |             (h(v0, all_52_0) = v5 & closed(v0, d) = v3 & combo(v0, d, d) =
% 43.89/8.84  | |               v4 & ( ~ (v5 = 0) |  ~ (v4 = 0) |  ~ (v3 = 0))))) &  ! [v0:
% 43.89/8.84  | |           $ki_world] :  ! [v1: int] :  ! [v2: $ki_world] : (v1 = 0 |  ~
% 43.89/8.84  | |           (combo(v0, d, d) = v1) |  ~ ($ki_accessible(v0, v2) = 0) |  ~
% 43.89/8.84  | |           $ki_world(v2) |  ~ $ki_world(v0) |  ? [v3: int] :  ? [v4: any] : 
% 43.89/8.84  | |           ? [v5: any] : ((v3 = 0 & closed(v2, d) = 0) | (h(v0, o) = v5 &
% 43.89/8.84  | |               closed(v0, d) = v4 & $ki_accessible(all_17_0, v0) = v3 & ( ~
% 43.89/8.84  | |                 (v5 = 0) |  ~ (v4 = 0) |  ~ (v3 = 0))))) &  ! [v0:
% 43.89/8.84  | |           $ki_world] :  ! [v1: $ki_world] : ( ~ (h(v0, all_52_0) = 0) |  ~
% 43.89/8.84  | |           ($ki_accessible(v0, v1) = 0) |  ~ $ki_world(v1) |  ~ $ki_world(v0)
% 43.89/8.84  | |           |  ? [v2: int] :  ? [v3: any] :  ? [v4: any] : ((v2 = 0 & open(v1,
% 43.89/8.84  | |                 d) = 0) | (closed(v0, d) = v3 & combo(v0, d, d) = v4 &
% 43.89/8.84  | |               $ki_accessible(all_17_0, v0) = v2 & ( ~ (v4 = 0) |  ~ (v3 = 0)
% 43.89/8.84  | |                 |  ~ (v2 = 0))))) &  ! [v0: $ki_world] :  ! [v1: $ki_world]
% 43.89/8.84  | |         : ( ~ (h(v0, o) = 0) |  ~ ($ki_accessible(v0, v1) = 0) |  ~
% 43.89/8.84  | |           $ki_world(v1) |  ~ $ki_world(v0) |  ? [v2: int] :  ? [v3: any] : 
% 43.89/8.84  | |           ? [v4: any] : ((v2 = 0 & closed(v1, d) = 0) | (closed(v0, d) = v3
% 43.89/8.84  | |               & combo(v0, d, d) = v4 & $ki_accessible(all_17_0, v0) = v2 & (
% 43.89/8.84  | |                 ~ (v3 = 0) |  ~ (v2 = 0) | v4 = 0)))) &  ! [v0: $ki_world] :
% 43.89/8.84  | |          ! [v1: $ki_world] : ( ~ (closed(v0, d) = 0) |  ~
% 43.89/8.84  | |           ($ki_accessible(v0, v1) = 0) |  ~ $ki_world(v1) |  ~ $ki_world(v0)
% 43.89/8.84  | |           |  ? [v2: int] :  ? [v3: any] :  ? [v4: any] : ((v2 = 0 &
% 43.89/8.84  | |               closed(v1, d) = 0) | (h(v0, o) = v4 & combo(v0, d, d) = v3 &
% 43.89/8.84  | |               $ki_accessible(all_17_0, v0) = v2 & ( ~ (v4 = 0) |  ~ (v2 = 0)
% 43.89/8.84  | |                 | v3 = 0)))) &  ! [v0: $ki_world] :  ! [v1: $ki_world] : ( ~
% 43.89/8.84  | |           (closed(v0, d) = 0) |  ~ ($ki_accessible(v0, v1) = 0) |  ~
% 43.89/8.84  | |           $ki_world(v1) |  ~ $ki_world(v0) |  ? [v2: int] :  ? [v3: any] : 
% 43.89/8.84  | |           ? [v4: any] : ((v2 = 0 & open(v1, d) = 0) | (h(v0, all_52_0) = v4
% 43.89/8.84  | |               & combo(v0, d, d) = v3 & $ki_accessible(all_17_0, v0) = v2 & (
% 43.89/8.84  | |                 ~ (v4 = 0) |  ~ (v3 = 0) |  ~ (v2 = 0))))) &  ! [v0:
% 43.89/8.84  | |           $ki_world] :  ! [v1: $ki_world] : ( ~ (combo(v0, d, d) = 0) |  ~
% 43.89/8.84  | |           ($ki_accessible(v0, v1) = 0) |  ~ $ki_world(v1) |  ~ $ki_world(v0)
% 43.89/8.84  | |           |  ? [v2: int] :  ? [v3: any] :  ? [v4: any] : ((v2 = 0 & open(v1,
% 43.89/8.84  | |                 d) = 0) | (h(v0, all_52_0) = v4 & closed(v0, d) = v3 &
% 43.89/8.84  | |               $ki_accessible(all_17_0, v0) = v2 & ( ~ (v4 = 0) |  ~ (v3 = 0)
% 43.89/8.84  | |                 |  ~ (v2 = 0))))) &  ! [v0: $ki_world] :  ! [v1: $ki_world]
% 43.89/8.84  | |         : ( ~ ($ki_accessible(v0, v1) = 0) |  ~ ($ki_accessible(all_17_0,
% 43.89/8.84  | |               v0) = 0) |  ~ $ki_world(v1) |  ~ $ki_world(v0) |  ? [v2: int]
% 43.89/8.84  | |           :  ? [v3: any] :  ? [v4: any] : ((v2 = 0 & closed(v1, d) = 0) |
% 43.89/8.84  | |             (h(v0, o) = v4 & closed(v0, d) = v2 & combo(v0, d, d) = v3 & ( ~
% 43.89/8.84  | |                 (v4 = 0) |  ~ (v2 = 0) | v3 = 0)))) &  ! [v0: $ki_world] : 
% 43.89/8.84  | |         ! [v1: $ki_world] : ( ~ ($ki_accessible(v0, v1) = 0) |  ~
% 43.89/8.84  | |           ($ki_accessible(all_17_0, v0) = 0) |  ~ $ki_world(v1) |  ~
% 43.89/8.84  | |           $ki_world(v0) |  ? [v2: int] :  ? [v3: any] :  ? [v4: any] : ((v2
% 43.89/8.84  | |               = 0 & open(v1, d) = 0) | (h(v0, all_52_0) = v4 & closed(v0, d)
% 43.89/8.84  | |               = v2 & combo(v0, d, d) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) |  ~
% 43.89/8.84  | |                 (v2 = 0)))))
% 43.89/8.84  | | 
% 43.89/8.84  | | ALPHA: (32) implies:
% 43.89/8.84  | |   (33)  $i(all_52_0)
% 43.89/8.84  | |   (34)  $ki_exists_in_world_$i(all_17_0, all_52_0) = 0
% 43.89/8.85  | |   (35)   ! [v0: $ki_world] :  ! [v1: $ki_world] : ( ~ (closed(v0, d) = 0) | 
% 43.89/8.85  | |           ~ ($ki_accessible(v0, v1) = 0) |  ~ $ki_world(v1) |  ~
% 43.89/8.85  | |           $ki_world(v0) |  ? [v2: int] :  ? [v3: any] :  ? [v4: any] : ((v2
% 43.89/8.85  | |               = 0 & open(v1, d) = 0) | (h(v0, all_52_0) = v4 & combo(v0, d,
% 43.89/8.85  | |                 d) = v3 & $ki_accessible(all_17_0, v0) = v2 & ( ~ (v4 = 0) |
% 43.89/8.85  | |                  ~ (v3 = 0) |  ~ (v2 = 0)))))
% 43.89/8.85  | |   (36)   ! [v0: $ki_world] :  ! [v1: $ki_world] :  ! [v2: int] : (v2 = 0 | 
% 43.89/8.85  | |           ~ (closed(v0, d) = 0) |  ~ (open(v1, d) = v2) |  ~ $ki_world(v1) |
% 43.89/8.85  | |            ~ $ki_world(v0) |  ? [v3: int] :  ? [v4: any] :  ? [v5: any] : ((
% 43.89/8.85  | |               ~ (v3 = 0) & $ki_accessible(v0, v1) = v3) | (h(v0, all_52_0) =
% 43.89/8.85  | |               v5 & combo(v0, d, d) = v4 & $ki_accessible(all_17_0, v0) = v3
% 43.89/8.85  | |               & ( ~ (v5 = 0) |  ~ (v4 = 0) |  ~ (v3 = 0)))))
% 43.89/8.85  | | 
% 43.89/8.85  | | GROUND_INST: instantiating (36) with all_17_0, all_17_0, all_33_0,
% 43.89/8.85  | |              simplifying with (11), (16), (20) gives:
% 43.89/8.85  | |   (37)  all_33_0 = 0 |  ? [v0: int] :  ? [v1: any] :  ? [v2: any] : (( ~ (v0
% 43.89/8.85  | |               = 0) & $ki_accessible(all_17_0, all_17_0) = v0) | (h(all_17_0,
% 43.89/8.85  | |               all_52_0) = v2 & combo(all_17_0, d, d) = v1 &
% 43.89/8.85  | |             $ki_accessible(all_17_0, all_17_0) = v0 & ( ~ (v2 = 0) |  ~ (v1
% 43.89/8.85  | |                 = 0) |  ~ (v0 = 0))))
% 43.89/8.85  | | 
% 43.89/8.85  | | BETA: splitting (37) gives:
% 43.89/8.85  | | 
% 43.89/8.85  | | Case 1:
% 43.89/8.85  | | | 
% 43.89/8.85  | | |   (38)  all_33_0 = 0
% 43.89/8.85  | | | 
% 43.89/8.85  | | | REDUCE: (24), (38) imply:
% 43.89/8.85  | | |   (39)  $false
% 43.89/8.85  | | | 
% 43.89/8.85  | | | CLOSE: (39) is inconsistent.
% 43.89/8.85  | | | 
% 43.89/8.85  | | Case 2:
% 43.89/8.85  | | | 
% 43.89/8.85  | | |   (40)   ? [v0: int] :  ? [v1: any] :  ? [v2: any] : (( ~ (v0 = 0) &
% 43.89/8.85  | | |             $ki_accessible(all_17_0, all_17_0) = v0) | (h(all_17_0,
% 43.89/8.85  | | |               all_52_0) = v2 & combo(all_17_0, d, d) = v1 &
% 43.89/8.85  | | |             $ki_accessible(all_17_0, all_17_0) = v0 & ( ~ (v2 = 0) |  ~
% 43.89/8.85  | | |               (v1 = 0) |  ~ (v0 = 0))))
% 43.89/8.85  | | | 
% 43.89/8.85  | | | DELTA: instantiating (40) with fresh symbols all_59_0, all_59_1, all_59_2
% 43.89/8.85  | | |        gives:
% 43.89/8.85  | | |   (41)  ( ~ (all_59_2 = 0) & $ki_accessible(all_17_0, all_17_0) =
% 43.89/8.85  | | |           all_59_2) | (h(all_17_0, all_52_0) = all_59_0 & combo(all_17_0,
% 43.89/8.85  | | |             d, d) = all_59_1 & $ki_accessible(all_17_0, all_17_0) =
% 43.89/8.85  | | |           all_59_2 & ( ~ (all_59_0 = 0) |  ~ (all_59_1 = 0) |  ~ (all_59_2
% 43.89/8.86  | | |               = 0)))
% 43.89/8.86  | | | 
% 43.89/8.86  | | | GROUND_INST: instantiating (35) with all_17_0, all_50_1, simplifying with
% 43.89/8.86  | | |              (11), (16), (29), (30) gives:
% 43.89/8.86  | | |   (42)   ? [v0: int] :  ? [v1: any] :  ? [v2: any] : ((v0 = 0 &
% 43.89/8.86  | | |             open(all_50_1, d) = 0) | (h(all_17_0, all_52_0) = v2 &
% 43.89/8.86  | | |             combo(all_17_0, d, d) = v1 & $ki_accessible(all_17_0,
% 43.89/8.86  | | |               all_17_0) = v0 & ( ~ (v2 = 0) |  ~ (v1 = 0) |  ~ (v0 = 0))))
% 43.89/8.86  | | | 
% 43.89/8.86  | | | GROUND_INST: instantiating (1) with all_17_0, d, all_52_0, simplifying
% 43.89/8.86  | | |              with (4), (11), (12), (23), (33), (34) gives:
% 43.89/8.88  | | |   (43)   ? [v0: $i] : ($ki_exists_in_world_$i(all_17_0, v0) = 0 & $i(v0) &
% 43.89/8.88  | | |            ! [v1: $ki_world] :  ! [v2: int] :  ! [v3: $ki_world] :  ! [v4:
% 43.89/8.88  | | |             int] : (v4 = 0 | v2 = 0 |  ~ (closed(v3, d) = v4) |  ~
% 43.89/8.88  | | |             (combo(v1, d, all_52_0) = v2) |  ~ $ki_world(v3) |  ~
% 43.89/8.88  | | |             $ki_world(v1) |  ? [v5: int] :  ? [v6: any] :  ? [v7: any] :
% 43.89/8.88  | | |             (( ~ (v5 = 0) & $ki_accessible(v1, v3) = v5) | (h(v1, o) = v7
% 43.89/8.88  | | |                 & closed(v1, d) = v6 & $ki_accessible(all_17_0, v1) = v5 &
% 43.89/8.88  | | |                 ( ~ (v7 = 0) |  ~ (v6 = 0) |  ~ (v5 = 0))))) &  ! [v1:
% 43.89/8.88  | | |             $ki_world] :  ! [v2: $ki_world] :  ! [v3: int] : (v3 = 0 |  ~
% 43.89/8.88  | | |             (h(v1, v0) = 0) |  ~ (open(v2, d) = v3) |  ~ $ki_world(v2) | 
% 43.89/8.88  | | |             ~ $ki_world(v1) |  ? [v4: int] :  ? [v5: any] :  ? [v6: any] :
% 43.89/8.88  | | |             (( ~ (v4 = 0) & $ki_accessible(v1, v2) = v4) | (closed(v1, d)
% 43.89/8.88  | | |                 = v5 & combo(v1, d, all_52_0) = v6 &
% 43.89/8.88  | | |                 $ki_accessible(all_17_0, v1) = v4 & ( ~ (v6 = 0) |  ~ (v5
% 43.89/8.88  | | |                     = 0) |  ~ (v4 = 0))))) &  ! [v1: $ki_world] :  ! [v2:
% 43.89/8.88  | | |             $ki_world] :  ! [v3: int] : (v3 = 0 |  ~ (h(v1, o) = 0) |  ~
% 43.89/8.88  | | |             (closed(v2, d) = v3) |  ~ $ki_world(v2) |  ~ $ki_world(v1) | 
% 43.89/8.88  | | |             ? [v4: int] :  ? [v5: any] :  ? [v6: any] : (( ~ (v4 = 0) &
% 43.89/8.88  | | |                 $ki_accessible(v1, v2) = v4) | (closed(v1, d) = v5 &
% 43.89/8.88  | | |                 combo(v1, d, all_52_0) = v6 & $ki_accessible(all_17_0, v1)
% 43.89/8.88  | | |                 = v4 & ( ~ (v5 = 0) |  ~ (v4 = 0) | v6 = 0)))) &  ! [v1:
% 43.89/8.88  | | |             $ki_world] :  ! [v2: $ki_world] :  ! [v3: int] : (v3 = 0 |  ~
% 43.89/8.88  | | |             (closed(v2, d) = v3) |  ~ (closed(v1, d) = 0) |  ~
% 43.89/8.88  | | |             $ki_world(v2) |  ~ $ki_world(v1) |  ? [v4: int] :  ? [v5: any]
% 43.89/8.88  | | |             :  ? [v6: any] : (( ~ (v4 = 0) & $ki_accessible(v1, v2) = v4)
% 43.89/8.88  | | |               | (h(v1, o) = v6 & combo(v1, d, all_52_0) = v5 &
% 43.89/8.88  | | |                 $ki_accessible(all_17_0, v1) = v4 & ( ~ (v6 = 0) |  ~ (v4
% 43.89/8.88  | | |                     = 0) | v5 = 0)))) &  ! [v1: $ki_world] :  ! [v2:
% 43.89/8.88  | | |             $ki_world] :  ! [v3: int] : (v3 = 0 |  ~ (closed(v2, d) = v3)
% 43.89/8.88  | | |             |  ~ ($ki_accessible(all_17_0, v1) = 0) |  ~ $ki_world(v2) | 
% 43.89/8.88  | | |             ~ $ki_world(v1) |  ? [v4: int] :  ? [v5: any] :  ? [v6: any] :
% 43.89/8.88  | | |             (( ~ (v4 = 0) & $ki_accessible(v1, v2) = v4) | (h(v1, o) = v6
% 43.89/8.88  | | |                 & closed(v1, d) = v4 & combo(v1, d, all_52_0) = v5 & ( ~
% 43.89/8.88  | | |                   (v6 = 0) |  ~ (v4 = 0) | v5 = 0)))) &  ! [v1: $ki_world]
% 43.89/8.88  | | |           :  ! [v2: $ki_world] :  ! [v3: int] : (v3 = 0 |  ~ (closed(v1,
% 43.89/8.88  | | |                 d) = 0) |  ~ (open(v2, d) = v3) |  ~ $ki_world(v2) |  ~
% 43.89/8.88  | | |             $ki_world(v1) |  ? [v4: int] :  ? [v5: any] :  ? [v6: any] :
% 43.89/8.88  | | |             (( ~ (v4 = 0) & $ki_accessible(v1, v2) = v4) | (h(v1, v0) = v6
% 43.89/8.88  | | |                 & combo(v1, d, all_52_0) = v5 & $ki_accessible(all_17_0,
% 43.89/8.88  | | |                   v1) = v4 & ( ~ (v6 = 0) |  ~ (v5 = 0) |  ~ (v4 = 0)))))
% 43.89/8.88  | | |           &  ! [v1: $ki_world] :  ! [v2: $ki_world] :  ! [v3: int] : (v3 =
% 43.89/8.88  | | |             0 |  ~ (combo(v1, d, all_52_0) = 0) |  ~ (open(v2, d) = v3) | 
% 43.89/8.88  | | |             ~ $ki_world(v2) |  ~ $ki_world(v1) |  ? [v4: int] :  ? [v5:
% 43.89/8.88  | | |               any] :  ? [v6: any] : (( ~ (v4 = 0) & $ki_accessible(v1, v2)
% 43.89/8.88  | | |                 = v4) | (h(v1, v0) = v6 & closed(v1, d) = v5 &
% 43.89/8.88  | | |                 $ki_accessible(all_17_0, v1) = v4 & ( ~ (v6 = 0) |  ~ (v5
% 43.89/8.88  | | |                     = 0) |  ~ (v4 = 0))))) &  ! [v1: $ki_world] :  ! [v2:
% 43.89/8.88  | | |             $ki_world] :  ! [v3: int] : (v3 = 0 |  ~ (open(v2, d) = v3) | 
% 43.89/8.88  | | |             ~ ($ki_accessible(all_17_0, v1) = 0) |  ~ $ki_world(v2) |  ~
% 43.89/8.88  | | |             $ki_world(v1) |  ? [v4: int] :  ? [v5: any] :  ? [v6: any] :
% 43.89/8.88  | | |             (( ~ (v4 = 0) & $ki_accessible(v1, v2) = v4) | (h(v1, v0) = v6
% 43.89/8.88  | | |                 & closed(v1, d) = v4 & combo(v1, d, all_52_0) = v5 & ( ~
% 43.89/8.88  | | |                   (v6 = 0) |  ~ (v5 = 0) |  ~ (v4 = 0))))) &  ! [v1:
% 43.89/8.88  | | |             $ki_world] :  ! [v2: int] :  ! [v3: $ki_world] : (v2 = 0 |  ~
% 43.89/8.88  | | |             (combo(v1, d, all_52_0) = v2) |  ~ ($ki_accessible(v1, v3) =
% 43.89/8.88  | | |               0) |  ~ $ki_world(v3) |  ~ $ki_world(v1) |  ? [v4: int] :  ?
% 43.89/8.88  | | |             [v5: any] :  ? [v6: any] : ((v4 = 0 & closed(v3, d) = 0) |
% 43.89/8.88  | | |               (h(v1, o) = v6 & closed(v1, d) = v5 &
% 43.89/8.88  | | |                 $ki_accessible(all_17_0, v1) = v4 & ( ~ (v6 = 0) |  ~ (v5
% 43.89/8.88  | | |                     = 0) |  ~ (v4 = 0))))) &  ! [v1: $ki_world] :  ! [v2:
% 43.89/8.88  | | |             $ki_world] : ( ~ (h(v1, v0) = 0) |  ~ ($ki_accessible(v1, v2)
% 43.89/8.88  | | |               = 0) |  ~ $ki_world(v2) |  ~ $ki_world(v1) |  ? [v3: int] : 
% 43.89/8.88  | | |             ? [v4: any] :  ? [v5: any] : ((v3 = 0 & open(v2, d) = 0) |
% 43.89/8.88  | | |               (closed(v1, d) = v4 & combo(v1, d, all_52_0) = v5 &
% 43.89/8.88  | | |                 $ki_accessible(all_17_0, v1) = v3 & ( ~ (v5 = 0) |  ~ (v4
% 43.89/8.88  | | |                     = 0) |  ~ (v3 = 0))))) &  ! [v1: $ki_world] :  ! [v2:
% 43.89/8.88  | | |             $ki_world] : ( ~ (h(v1, o) = 0) |  ~ ($ki_accessible(v1, v2) =
% 43.89/8.88  | | |               0) |  ~ $ki_world(v2) |  ~ $ki_world(v1) |  ? [v3: int] :  ?
% 43.89/8.88  | | |             [v4: any] :  ? [v5: any] : ((v3 = 0 & closed(v2, d) = 0) |
% 43.89/8.88  | | |               (closed(v1, d) = v4 & combo(v1, d, all_52_0) = v5 &
% 43.89/8.88  | | |                 $ki_accessible(all_17_0, v1) = v3 & ( ~ (v4 = 0) |  ~ (v3
% 43.89/8.88  | | |                     = 0) | v5 = 0)))) &  ! [v1: $ki_world] :  ! [v2:
% 43.89/8.88  | | |             $ki_world] : ( ~ (closed(v1, d) = 0) |  ~ ($ki_accessible(v1,
% 43.89/8.88  | | |                 v2) = 0) |  ~ $ki_world(v2) |  ~ $ki_world(v1) |  ? [v3:
% 43.89/8.88  | | |               int] :  ? [v4: any] :  ? [v5: any] : ((v3 = 0 & closed(v2,
% 43.89/8.88  | | |                   d) = 0) | (h(v1, o) = v5 & combo(v1, d, all_52_0) = v4 &
% 43.89/8.88  | | |                 $ki_accessible(all_17_0, v1) = v3 & ( ~ (v5 = 0) |  ~ (v3
% 43.89/8.88  | | |                     = 0) | v4 = 0)))) &  ! [v1: $ki_world] :  ! [v2:
% 43.89/8.88  | | |             $ki_world] : ( ~ (closed(v1, d) = 0) |  ~ ($ki_accessible(v1,
% 43.89/8.88  | | |                 v2) = 0) |  ~ $ki_world(v2) |  ~ $ki_world(v1) |  ? [v3:
% 43.89/8.88  | | |               int] :  ? [v4: any] :  ? [v5: any] : ((v3 = 0 & open(v2, d)
% 43.89/8.88  | | |                 = 0) | (h(v1, v0) = v5 & combo(v1, d, all_52_0) = v4 &
% 43.89/8.88  | | |                 $ki_accessible(all_17_0, v1) = v3 & ( ~ (v5 = 0) |  ~ (v4
% 43.89/8.88  | | |                     = 0) |  ~ (v3 = 0))))) &  ! [v1: $ki_world] :  ! [v2:
% 43.89/8.88  | | |             $ki_world] : ( ~ (combo(v1, d, all_52_0) = 0) |  ~
% 43.89/8.88  | | |             ($ki_accessible(v1, v2) = 0) |  ~ $ki_world(v2) |  ~
% 43.89/8.88  | | |             $ki_world(v1) |  ? [v3: int] :  ? [v4: any] :  ? [v5: any] :
% 43.89/8.88  | | |             ((v3 = 0 & open(v2, d) = 0) | (h(v1, v0) = v5 & closed(v1, d)
% 43.89/8.88  | | |                 = v4 & $ki_accessible(all_17_0, v1) = v3 & ( ~ (v5 = 0) | 
% 43.89/8.88  | | |                   ~ (v4 = 0) |  ~ (v3 = 0))))) &  ! [v1: $ki_world] :  !
% 43.89/8.88  | | |           [v2: $ki_world] : ( ~ ($ki_accessible(v1, v2) = 0) |  ~
% 43.89/8.88  | | |             ($ki_accessible(all_17_0, v1) = 0) |  ~ $ki_world(v2) |  ~
% 43.89/8.88  | | |             $ki_world(v1) |  ? [v3: int] :  ? [v4: any] :  ? [v5: any] :
% 43.89/8.88  | | |             ((v3 = 0 & closed(v2, d) = 0) | (h(v1, o) = v5 & closed(v1, d)
% 43.89/8.88  | | |                 = v3 & combo(v1, d, all_52_0) = v4 & ( ~ (v5 = 0) |  ~ (v3
% 43.89/8.88  | | |                     = 0) | v4 = 0)))) &  ! [v1: $ki_world] :  ! [v2:
% 43.89/8.88  | | |             $ki_world] : ( ~ ($ki_accessible(v1, v2) = 0) |  ~
% 43.89/8.88  | | |             ($ki_accessible(all_17_0, v1) = 0) |  ~ $ki_world(v2) |  ~
% 43.89/8.88  | | |             $ki_world(v1) |  ? [v3: int] :  ? [v4: any] :  ? [v5: any] :
% 43.89/8.88  | | |             ((v3 = 0 & open(v2, d) = 0) | (h(v1, v0) = v5 & closed(v1, d)
% 43.89/8.88  | | |                 = v3 & combo(v1, d, all_52_0) = v4 & ( ~ (v5 = 0) |  ~ (v4
% 43.89/8.88  | | |                     = 0) |  ~ (v3 = 0))))))
% 43.89/8.88  | | | 
% 43.89/8.88  | | | GROUND_INST: instantiating (1) with all_17_0, all_52_0, d, simplifying
% 43.89/8.88  | | |              with (4), (11), (12), (23), (33), (34) gives:
% 43.89/8.90  | | |   (44)   ? [v0: $i] : ($ki_exists_in_world_$i(all_17_0, v0) = 0 & $i(v0) &
% 43.89/8.90  | | |            ! [v1: $ki_world] :  ! [v2: int] :  ! [v3: $ki_world] :  ! [v4:
% 43.89/8.90  | | |             int] : (v4 = 0 | v2 = 0 |  ~ (closed(v3, all_52_0) = v4) |  ~
% 43.89/8.90  | | |             (combo(v1, all_52_0, d) = v2) |  ~ $ki_world(v3) |  ~
% 43.89/8.90  | | |             $ki_world(v1) |  ? [v5: int] :  ? [v6: any] :  ? [v7: any] :
% 43.89/8.90  | | |             (( ~ (v5 = 0) & $ki_accessible(v1, v3) = v5) | (h(v1, o) = v7
% 43.89/8.90  | | |                 & closed(v1, all_52_0) = v6 & $ki_accessible(all_17_0, v1)
% 43.89/8.90  | | |                 = v5 & ( ~ (v7 = 0) |  ~ (v6 = 0) |  ~ (v5 = 0))))) &  !
% 43.89/8.90  | | |           [v1: $ki_world] :  ! [v2: $ki_world] :  ! [v3: int] : (v3 = 0 | 
% 43.89/8.90  | | |             ~ (h(v1, v0) = 0) |  ~ (open(v2, all_52_0) = v3) |  ~
% 43.89/8.90  | | |             $ki_world(v2) |  ~ $ki_world(v1) |  ? [v4: int] :  ? [v5: any]
% 43.89/8.90  | | |             :  ? [v6: any] : (( ~ (v4 = 0) & $ki_accessible(v1, v2) = v4)
% 43.89/8.90  | | |               | (closed(v1, all_52_0) = v5 & combo(v1, all_52_0, d) = v6 &
% 43.89/8.90  | | |                 $ki_accessible(all_17_0, v1) = v4 & ( ~ (v6 = 0) |  ~ (v5
% 43.89/8.90  | | |                     = 0) |  ~ (v4 = 0))))) &  ! [v1: $ki_world] :  ! [v2:
% 43.89/8.90  | | |             $ki_world] :  ! [v3: int] : (v3 = 0 |  ~ (h(v1, o) = 0) |  ~
% 43.89/8.90  | | |             (closed(v2, all_52_0) = v3) |  ~ $ki_world(v2) |  ~
% 43.89/8.90  | | |             $ki_world(v1) |  ? [v4: int] :  ? [v5: any] :  ? [v6: any] :
% 43.89/8.90  | | |             (( ~ (v4 = 0) & $ki_accessible(v1, v2) = v4) | (closed(v1,
% 43.89/8.90  | | |                   all_52_0) = v5 & combo(v1, all_52_0, d) = v6 &
% 43.89/8.90  | | |                 $ki_accessible(all_17_0, v1) = v4 & ( ~ (v5 = 0) |  ~ (v4
% 43.89/8.90  | | |                     = 0) | v6 = 0)))) &  ! [v1: $ki_world] :  ! [v2:
% 43.89/8.90  | | |             $ki_world] :  ! [v3: int] : (v3 = 0 |  ~ (closed(v2, all_52_0)
% 43.89/8.90  | | |               = v3) |  ~ (closed(v1, all_52_0) = 0) |  ~ $ki_world(v2) | 
% 43.89/8.90  | | |             ~ $ki_world(v1) |  ? [v4: int] :  ? [v5: any] :  ? [v6: any] :
% 43.89/8.90  | | |             (( ~ (v4 = 0) & $ki_accessible(v1, v2) = v4) | (h(v1, o) = v6
% 43.89/8.90  | | |                 & combo(v1, all_52_0, d) = v5 & $ki_accessible(all_17_0,
% 43.89/8.90  | | |                   v1) = v4 & ( ~ (v6 = 0) |  ~ (v4 = 0) | v5 = 0)))) &  !
% 43.89/8.90  | | |           [v1: $ki_world] :  ! [v2: $ki_world] :  ! [v3: int] : (v3 = 0 | 
% 43.89/8.90  | | |             ~ (closed(v2, all_52_0) = v3) |  ~ ($ki_accessible(all_17_0,
% 43.89/8.90  | | |                 v1) = 0) |  ~ $ki_world(v2) |  ~ $ki_world(v1) |  ? [v4:
% 43.89/8.90  | | |               int] :  ? [v5: any] :  ? [v6: any] : (( ~ (v4 = 0) &
% 43.89/8.90  | | |                 $ki_accessible(v1, v2) = v4) | (h(v1, o) = v6 & closed(v1,
% 43.89/8.90  | | |                   all_52_0) = v4 & combo(v1, all_52_0, d) = v5 & ( ~ (v6 =
% 43.89/8.90  | | |                     0) |  ~ (v4 = 0) | v5 = 0)))) &  ! [v1: $ki_world] : 
% 43.89/8.90  | | |           ! [v2: $ki_world] :  ! [v3: int] : (v3 = 0 |  ~ (closed(v1,
% 43.89/8.90  | | |                 all_52_0) = 0) |  ~ (open(v2, all_52_0) = v3) |  ~
% 43.89/8.90  | | |             $ki_world(v2) |  ~ $ki_world(v1) |  ? [v4: int] :  ? [v5: any]
% 43.89/8.90  | | |             :  ? [v6: any] : (( ~ (v4 = 0) & $ki_accessible(v1, v2) = v4)
% 43.89/8.90  | | |               | (h(v1, v0) = v6 & combo(v1, all_52_0, d) = v5 &
% 43.89/8.90  | | |                 $ki_accessible(all_17_0, v1) = v4 & ( ~ (v6 = 0) |  ~ (v5
% 43.89/8.90  | | |                     = 0) |  ~ (v4 = 0))))) &  ! [v1: $ki_world] :  ! [v2:
% 43.89/8.90  | | |             $ki_world] :  ! [v3: int] : (v3 = 0 |  ~ (combo(v1, all_52_0,
% 43.89/8.90  | | |                 d) = 0) |  ~ (open(v2, all_52_0) = v3) |  ~ $ki_world(v2)
% 43.89/8.90  | | |             |  ~ $ki_world(v1) |  ? [v4: int] :  ? [v5: any] :  ? [v6:
% 43.89/8.90  | | |               any] : (( ~ (v4 = 0) & $ki_accessible(v1, v2) = v4) | (h(v1,
% 43.89/8.90  | | |                   v0) = v6 & closed(v1, all_52_0) = v5 &
% 43.89/8.90  | | |                 $ki_accessible(all_17_0, v1) = v4 & ( ~ (v6 = 0) |  ~ (v5
% 43.89/8.90  | | |                     = 0) |  ~ (v4 = 0))))) &  ! [v1: $ki_world] :  ! [v2:
% 43.89/8.90  | | |             $ki_world] :  ! [v3: int] : (v3 = 0 |  ~ (open(v2, all_52_0) =
% 43.89/8.90  | | |               v3) |  ~ ($ki_accessible(all_17_0, v1) = 0) |  ~
% 43.89/8.90  | | |             $ki_world(v2) |  ~ $ki_world(v1) |  ? [v4: int] :  ? [v5: any]
% 43.89/8.90  | | |             :  ? [v6: any] : (( ~ (v4 = 0) & $ki_accessible(v1, v2) = v4)
% 43.89/8.90  | | |               | (h(v1, v0) = v6 & closed(v1, all_52_0) = v4 & combo(v1,
% 43.89/8.90  | | |                   all_52_0, d) = v5 & ( ~ (v6 = 0) |  ~ (v5 = 0) |  ~ (v4
% 43.89/8.90  | | |                     = 0))))) &  ! [v1: $ki_world] :  ! [v2: int] :  ! [v3:
% 43.89/8.90  | | |             $ki_world] : (v2 = 0 |  ~ (combo(v1, all_52_0, d) = v2) |  ~
% 43.89/8.90  | | |             ($ki_accessible(v1, v3) = 0) |  ~ $ki_world(v3) |  ~
% 43.89/8.90  | | |             $ki_world(v1) |  ? [v4: int] :  ? [v5: any] :  ? [v6: any] :
% 43.89/8.90  | | |             ((v4 = 0 & closed(v3, all_52_0) = 0) | (h(v1, o) = v6 &
% 43.89/8.90  | | |                 closed(v1, all_52_0) = v5 & $ki_accessible(all_17_0, v1) =
% 43.89/8.90  | | |                 v4 & ( ~ (v6 = 0) |  ~ (v5 = 0) |  ~ (v4 = 0))))) &  !
% 43.89/8.90  | | |           [v1: $ki_world] :  ! [v2: $ki_world] : ( ~ (h(v1, v0) = 0) |  ~
% 43.89/8.90  | | |             ($ki_accessible(v1, v2) = 0) |  ~ $ki_world(v2) |  ~
% 43.89/8.90  | | |             $ki_world(v1) |  ? [v3: int] :  ? [v4: any] :  ? [v5: any] :
% 43.89/8.90  | | |             ((v3 = 0 & open(v2, all_52_0) = 0) | (closed(v1, all_52_0) =
% 43.89/8.90  | | |                 v4 & combo(v1, all_52_0, d) = v5 &
% 43.89/8.90  | | |                 $ki_accessible(all_17_0, v1) = v3 & ( ~ (v5 = 0) |  ~ (v4
% 43.89/8.90  | | |                     = 0) |  ~ (v3 = 0))))) &  ! [v1: $ki_world] :  ! [v2:
% 43.89/8.90  | | |             $ki_world] : ( ~ (h(v1, o) = 0) |  ~ ($ki_accessible(v1, v2) =
% 43.89/8.90  | | |               0) |  ~ $ki_world(v2) |  ~ $ki_world(v1) |  ? [v3: int] :  ?
% 43.89/8.90  | | |             [v4: any] :  ? [v5: any] : ((v3 = 0 & closed(v2, all_52_0) =
% 43.89/8.90  | | |                 0) | (closed(v1, all_52_0) = v4 & combo(v1, all_52_0, d) =
% 43.89/8.90  | | |                 v5 & $ki_accessible(all_17_0, v1) = v3 & ( ~ (v4 = 0) |  ~
% 43.89/8.90  | | |                   (v3 = 0) | v5 = 0)))) &  ! [v1: $ki_world] :  ! [v2:
% 43.89/8.90  | | |             $ki_world] : ( ~ (closed(v1, all_52_0) = 0) |  ~
% 43.89/8.90  | | |             ($ki_accessible(v1, v2) = 0) |  ~ $ki_world(v2) |  ~
% 43.89/8.90  | | |             $ki_world(v1) |  ? [v3: int] :  ? [v4: any] :  ? [v5: any] :
% 43.89/8.90  | | |             ((v3 = 0 & closed(v2, all_52_0) = 0) | (h(v1, o) = v5 &
% 43.89/8.90  | | |                 combo(v1, all_52_0, d) = v4 & $ki_accessible(all_17_0, v1)
% 43.89/8.90  | | |                 = v3 & ( ~ (v5 = 0) |  ~ (v3 = 0) | v4 = 0)))) &  ! [v1:
% 43.89/8.90  | | |             $ki_world] :  ! [v2: $ki_world] : ( ~ (closed(v1, all_52_0) =
% 43.89/8.90  | | |               0) |  ~ ($ki_accessible(v1, v2) = 0) |  ~ $ki_world(v2) |  ~
% 43.89/8.90  | | |             $ki_world(v1) |  ? [v3: int] :  ? [v4: any] :  ? [v5: any] :
% 43.89/8.90  | | |             ((v3 = 0 & open(v2, all_52_0) = 0) | (h(v1, v0) = v5 &
% 43.89/8.90  | | |                 combo(v1, all_52_0, d) = v4 & $ki_accessible(all_17_0, v1)
% 43.89/8.90  | | |                 = v3 & ( ~ (v5 = 0) |  ~ (v4 = 0) |  ~ (v3 = 0))))) &  !
% 43.89/8.90  | | |           [v1: $ki_world] :  ! [v2: $ki_world] : ( ~ (combo(v1, all_52_0,
% 43.89/8.90  | | |                 d) = 0) |  ~ ($ki_accessible(v1, v2) = 0) |  ~
% 43.89/8.90  | | |             $ki_world(v2) |  ~ $ki_world(v1) |  ? [v3: int] :  ? [v4: any]
% 43.89/8.90  | | |             :  ? [v5: any] : ((v3 = 0 & open(v2, all_52_0) = 0) | (h(v1,
% 43.89/8.90  | | |                   v0) = v5 & closed(v1, all_52_0) = v4 &
% 43.89/8.90  | | |                 $ki_accessible(all_17_0, v1) = v3 & ( ~ (v5 = 0) |  ~ (v4
% 43.89/8.90  | | |                     = 0) |  ~ (v3 = 0))))) &  ! [v1: $ki_world] :  ! [v2:
% 43.89/8.90  | | |             $ki_world] : ( ~ ($ki_accessible(v1, v2) = 0) |  ~
% 43.89/8.90  | | |             ($ki_accessible(all_17_0, v1) = 0) |  ~ $ki_world(v2) |  ~
% 43.89/8.90  | | |             $ki_world(v1) |  ? [v3: int] :  ? [v4: any] :  ? [v5: any] :
% 43.89/8.90  | | |             ((v3 = 0 & closed(v2, all_52_0) = 0) | (h(v1, o) = v5 &
% 43.89/8.90  | | |                 closed(v1, all_52_0) = v3 & combo(v1, all_52_0, d) = v4 &
% 43.89/8.90  | | |                 ( ~ (v5 = 0) |  ~ (v3 = 0) | v4 = 0)))) &  ! [v1:
% 43.89/8.90  | | |             $ki_world] :  ! [v2: $ki_world] : ( ~ ($ki_accessible(v1, v2)
% 43.89/8.90  | | |               = 0) |  ~ ($ki_accessible(all_17_0, v1) = 0) |  ~
% 43.89/8.90  | | |             $ki_world(v2) |  ~ $ki_world(v1) |  ? [v3: int] :  ? [v4: any]
% 43.89/8.90  | | |             :  ? [v5: any] : ((v3 = 0 & open(v2, all_52_0) = 0) | (h(v1,
% 43.89/8.90  | | |                   v0) = v5 & closed(v1, all_52_0) = v3 & combo(v1,
% 43.89/8.90  | | |                   all_52_0, d) = v4 & ( ~ (v5 = 0) |  ~ (v4 = 0) |  ~ (v3
% 43.89/8.90  | | |                     = 0))))))
% 43.89/8.90  | | | 
% 43.89/8.90  | | | GROUND_INST: instantiating (1) with all_17_0, all_52_0, all_52_0,
% 43.89/8.90  | | |              simplifying with (11), (12), (33), (34) gives:
% 43.89/8.91  | | |   (45)   ? [v0: $i] : ($ki_exists_in_world_$i(all_17_0, v0) = 0 & $i(v0) &
% 43.89/8.91  | | |            ! [v1: $ki_world] :  ! [v2: int] :  ! [v3: $ki_world] :  ! [v4:
% 43.89/8.91  | | |             int] : (v4 = 0 | v2 = 0 |  ~ (closed(v3, all_52_0) = v4) |  ~
% 43.89/8.91  | | |             (combo(v1, all_52_0, all_52_0) = v2) |  ~ $ki_world(v3) |  ~
% 43.89/8.91  | | |             $ki_world(v1) |  ? [v5: int] :  ? [v6: any] :  ? [v7: any] :
% 43.89/8.91  | | |             (( ~ (v5 = 0) & $ki_accessible(v1, v3) = v5) | (h(v1, o) = v7
% 43.89/8.91  | | |                 & closed(v1, all_52_0) = v6 & $ki_accessible(all_17_0, v1)
% 43.89/8.91  | | |                 = v5 & ( ~ (v7 = 0) |  ~ (v6 = 0) |  ~ (v5 = 0))))) &  !
% 43.89/8.91  | | |           [v1: $ki_world] :  ! [v2: $ki_world] :  ! [v3: int] : (v3 = 0 | 
% 43.89/8.91  | | |             ~ (h(v1, v0) = 0) |  ~ (open(v2, all_52_0) = v3) |  ~
% 43.89/8.91  | | |             $ki_world(v2) |  ~ $ki_world(v1) |  ? [v4: int] :  ? [v5: any]
% 43.89/8.91  | | |             :  ? [v6: any] : (( ~ (v4 = 0) & $ki_accessible(v1, v2) = v4)
% 43.89/8.91  | | |               | (closed(v1, all_52_0) = v5 & combo(v1, all_52_0, all_52_0)
% 43.89/8.91  | | |                 = v6 & $ki_accessible(all_17_0, v1) = v4 & ( ~ (v6 = 0) | 
% 43.89/8.91  | | |                   ~ (v5 = 0) |  ~ (v4 = 0))))) &  ! [v1: $ki_world] :  !
% 43.89/8.91  | | |           [v2: $ki_world] :  ! [v3: int] : (v3 = 0 |  ~ (h(v1, o) = 0) | 
% 43.89/8.91  | | |             ~ (closed(v2, all_52_0) = v3) |  ~ $ki_world(v2) |  ~
% 43.89/8.91  | | |             $ki_world(v1) |  ? [v4: int] :  ? [v5: any] :  ? [v6: any] :
% 43.89/8.91  | | |             (( ~ (v4 = 0) & $ki_accessible(v1, v2) = v4) | (closed(v1,
% 43.89/8.91  | | |                   all_52_0) = v5 & combo(v1, all_52_0, all_52_0) = v6 &
% 43.89/8.91  | | |                 $ki_accessible(all_17_0, v1) = v4 & ( ~ (v5 = 0) |  ~ (v4
% 43.89/8.91  | | |                     = 0) | v6 = 0)))) &  ! [v1: $ki_world] :  ! [v2:
% 43.89/8.91  | | |             $ki_world] :  ! [v3: int] : (v3 = 0 |  ~ (closed(v2, all_52_0)
% 43.89/8.91  | | |               = v3) |  ~ (closed(v1, all_52_0) = 0) |  ~ $ki_world(v2) | 
% 43.89/8.91  | | |             ~ $ki_world(v1) |  ? [v4: int] :  ? [v5: any] :  ? [v6: any] :
% 43.89/8.91  | | |             (( ~ (v4 = 0) & $ki_accessible(v1, v2) = v4) | (h(v1, o) = v6
% 43.89/8.91  | | |                 & combo(v1, all_52_0, all_52_0) = v5 &
% 43.89/8.91  | | |                 $ki_accessible(all_17_0, v1) = v4 & ( ~ (v6 = 0) |  ~ (v4
% 43.89/8.91  | | |                     = 0) | v5 = 0)))) &  ! [v1: $ki_world] :  ! [v2:
% 43.89/8.91  | | |             $ki_world] :  ! [v3: int] : (v3 = 0 |  ~ (closed(v2, all_52_0)
% 43.89/8.91  | | |               = v3) |  ~ ($ki_accessible(all_17_0, v1) = 0) |  ~
% 43.89/8.91  | | |             $ki_world(v2) |  ~ $ki_world(v1) |  ? [v4: int] :  ? [v5: any]
% 43.89/8.91  | | |             :  ? [v6: any] : (( ~ (v4 = 0) & $ki_accessible(v1, v2) = v4)
% 43.89/8.91  | | |               | (h(v1, o) = v6 & closed(v1, all_52_0) = v4 & combo(v1,
% 43.89/8.91  | | |                   all_52_0, all_52_0) = v5 & ( ~ (v6 = 0) |  ~ (v4 = 0) |
% 43.89/8.91  | | |                   v5 = 0)))) &  ! [v1: $ki_world] :  ! [v2: $ki_world] : 
% 43.89/8.91  | | |           ! [v3: int] : (v3 = 0 |  ~ (closed(v1, all_52_0) = 0) |  ~
% 43.89/8.91  | | |             (open(v2, all_52_0) = v3) |  ~ $ki_world(v2) |  ~
% 43.89/8.91  | | |             $ki_world(v1) |  ? [v4: int] :  ? [v5: any] :  ? [v6: any] :
% 43.89/8.91  | | |             (( ~ (v4 = 0) & $ki_accessible(v1, v2) = v4) | (h(v1, v0) = v6
% 43.89/8.91  | | |                 & combo(v1, all_52_0, all_52_0) = v5 &
% 43.89/8.91  | | |                 $ki_accessible(all_17_0, v1) = v4 & ( ~ (v6 = 0) |  ~ (v5
% 43.89/8.91  | | |                     = 0) |  ~ (v4 = 0))))) &  ! [v1: $ki_world] :  ! [v2:
% 43.89/8.91  | | |             $ki_world] :  ! [v3: int] : (v3 = 0 |  ~ (combo(v1, all_52_0,
% 43.89/8.91  | | |                 all_52_0) = 0) |  ~ (open(v2, all_52_0) = v3) |  ~
% 43.89/8.91  | | |             $ki_world(v2) |  ~ $ki_world(v1) |  ? [v4: int] :  ? [v5: any]
% 43.89/8.91  | | |             :  ? [v6: any] : (( ~ (v4 = 0) & $ki_accessible(v1, v2) = v4)
% 43.89/8.91  | | |               | (h(v1, v0) = v6 & closed(v1, all_52_0) = v5 &
% 43.89/8.91  | | |                 $ki_accessible(all_17_0, v1) = v4 & ( ~ (v6 = 0) |  ~ (v5
% 43.89/8.91  | | |                     = 0) |  ~ (v4 = 0))))) &  ! [v1: $ki_world] :  ! [v2:
% 43.89/8.91  | | |             $ki_world] :  ! [v3: int] : (v3 = 0 |  ~ (open(v2, all_52_0) =
% 43.89/8.91  | | |               v3) |  ~ ($ki_accessible(all_17_0, v1) = 0) |  ~
% 43.89/8.91  | | |             $ki_world(v2) |  ~ $ki_world(v1) |  ? [v4: int] :  ? [v5: any]
% 43.89/8.91  | | |             :  ? [v6: any] : (( ~ (v4 = 0) & $ki_accessible(v1, v2) = v4)
% 43.89/8.91  | | |               | (h(v1, v0) = v6 & closed(v1, all_52_0) = v4 & combo(v1,
% 43.89/8.91  | | |                   all_52_0, all_52_0) = v5 & ( ~ (v6 = 0) |  ~ (v5 = 0) | 
% 43.89/8.91  | | |                   ~ (v4 = 0))))) &  ! [v1: $ki_world] :  ! [v2: int] :  !
% 43.89/8.91  | | |           [v3: $ki_world] : (v2 = 0 |  ~ (combo(v1, all_52_0, all_52_0) =
% 43.89/8.91  | | |               v2) |  ~ ($ki_accessible(v1, v3) = 0) |  ~ $ki_world(v3) | 
% 43.89/8.91  | | |             ~ $ki_world(v1) |  ? [v4: int] :  ? [v5: any] :  ? [v6: any] :
% 43.89/8.91  | | |             ((v4 = 0 & closed(v3, all_52_0) = 0) | (h(v1, o) = v6 &
% 43.89/8.91  | | |                 closed(v1, all_52_0) = v5 & $ki_accessible(all_17_0, v1) =
% 43.89/8.91  | | |                 v4 & ( ~ (v6 = 0) |  ~ (v5 = 0) |  ~ (v4 = 0))))) &  !
% 43.89/8.91  | | |           [v1: $ki_world] :  ! [v2: $ki_world] : ( ~ (h(v1, v0) = 0) |  ~
% 43.89/8.91  | | |             ($ki_accessible(v1, v2) = 0) |  ~ $ki_world(v2) |  ~
% 43.89/8.91  | | |             $ki_world(v1) |  ? [v3: int] :  ? [v4: any] :  ? [v5: any] :
% 43.89/8.91  | | |             ((v3 = 0 & open(v2, all_52_0) = 0) | (closed(v1, all_52_0) =
% 43.89/8.91  | | |                 v4 & combo(v1, all_52_0, all_52_0) = v5 &
% 43.89/8.91  | | |                 $ki_accessible(all_17_0, v1) = v3 & ( ~ (v5 = 0) |  ~ (v4
% 43.89/8.91  | | |                     = 0) |  ~ (v3 = 0))))) &  ! [v1: $ki_world] :  ! [v2:
% 43.89/8.91  | | |             $ki_world] : ( ~ (h(v1, o) = 0) |  ~ ($ki_accessible(v1, v2) =
% 43.89/8.91  | | |               0) |  ~ $ki_world(v2) |  ~ $ki_world(v1) |  ? [v3: int] :  ?
% 43.89/8.91  | | |             [v4: any] :  ? [v5: any] : ((v3 = 0 & closed(v2, all_52_0) =
% 43.89/8.91  | | |                 0) | (closed(v1, all_52_0) = v4 & combo(v1, all_52_0,
% 43.89/8.91  | | |                   all_52_0) = v5 & $ki_accessible(all_17_0, v1) = v3 & ( ~
% 43.89/8.91  | | |                   (v4 = 0) |  ~ (v3 = 0) | v5 = 0)))) &  ! [v1: $ki_world]
% 43.89/8.91  | | |           :  ! [v2: $ki_world] : ( ~ (closed(v1, all_52_0) = 0) |  ~
% 43.89/8.91  | | |             ($ki_accessible(v1, v2) = 0) |  ~ $ki_world(v2) |  ~
% 43.89/8.91  | | |             $ki_world(v1) |  ? [v3: int] :  ? [v4: any] :  ? [v5: any] :
% 43.89/8.91  | | |             ((v3 = 0 & closed(v2, all_52_0) = 0) | (h(v1, o) = v5 &
% 43.89/8.91  | | |                 combo(v1, all_52_0, all_52_0) = v4 &
% 43.89/8.91  | | |                 $ki_accessible(all_17_0, v1) = v3 & ( ~ (v5 = 0) |  ~ (v3
% 43.89/8.91  | | |                     = 0) | v4 = 0)))) &  ! [v1: $ki_world] :  ! [v2:
% 43.89/8.91  | | |             $ki_world] : ( ~ (closed(v1, all_52_0) = 0) |  ~
% 43.89/8.91  | | |             ($ki_accessible(v1, v2) = 0) |  ~ $ki_world(v2) |  ~
% 43.89/8.91  | | |             $ki_world(v1) |  ? [v3: int] :  ? [v4: any] :  ? [v5: any] :
% 43.89/8.91  | | |             ((v3 = 0 & open(v2, all_52_0) = 0) | (h(v1, v0) = v5 &
% 43.89/8.91  | | |                 combo(v1, all_52_0, all_52_0) = v4 &
% 43.89/8.91  | | |                 $ki_accessible(all_17_0, v1) = v3 & ( ~ (v5 = 0) |  ~ (v4
% 43.89/8.91  | | |                     = 0) |  ~ (v3 = 0))))) &  ! [v1: $ki_world] :  ! [v2:
% 43.89/8.91  | | |             $ki_world] : ( ~ (combo(v1, all_52_0, all_52_0) = 0) |  ~
% 43.89/8.91  | | |             ($ki_accessible(v1, v2) = 0) |  ~ $ki_world(v2) |  ~
% 43.89/8.91  | | |             $ki_world(v1) |  ? [v3: int] :  ? [v4: any] :  ? [v5: any] :
% 43.89/8.91  | | |             ((v3 = 0 & open(v2, all_52_0) = 0) | (h(v1, v0) = v5 &
% 43.89/8.91  | | |                 closed(v1, all_52_0) = v4 & $ki_accessible(all_17_0, v1) =
% 43.89/8.91  | | |                 v3 & ( ~ (v5 = 0) |  ~ (v4 = 0) |  ~ (v3 = 0))))) &  !
% 43.89/8.91  | | |           [v1: $ki_world] :  ! [v2: $ki_world] : ( ~ ($ki_accessible(v1,
% 43.89/8.91  | | |                 v2) = 0) |  ~ ($ki_accessible(all_17_0, v1) = 0) |  ~
% 43.89/8.91  | | |             $ki_world(v2) |  ~ $ki_world(v1) |  ? [v3: int] :  ? [v4: any]
% 43.89/8.91  | | |             :  ? [v5: any] : ((v3 = 0 & closed(v2, all_52_0) = 0) | (h(v1,
% 43.89/8.91  | | |                   o) = v5 & closed(v1, all_52_0) = v3 & combo(v1,
% 43.89/8.91  | | |                   all_52_0, all_52_0) = v4 & ( ~ (v5 = 0) |  ~ (v3 = 0) |
% 43.89/8.91  | | |                   v4 = 0)))) &  ! [v1: $ki_world] :  ! [v2: $ki_world] : (
% 43.89/8.91  | | |             ~ ($ki_accessible(v1, v2) = 0) |  ~ ($ki_accessible(all_17_0,
% 43.89/8.91  | | |                 v1) = 0) |  ~ $ki_world(v2) |  ~ $ki_world(v1) |  ? [v3:
% 43.89/8.91  | | |               int] :  ? [v4: any] :  ? [v5: any] : ((v3 = 0 & open(v2,
% 43.89/8.91  | | |                   all_52_0) = 0) | (h(v1, v0) = v5 & closed(v1, all_52_0)
% 43.89/8.91  | | |                 = v3 & combo(v1, all_52_0, all_52_0) = v4 & ( ~ (v5 = 0) |
% 43.89/8.91  | | |                    ~ (v4 = 0) |  ~ (v3 = 0))))))
% 43.89/8.91  | | | 
% 43.89/8.91  | | | DELTA: instantiating (42) with fresh symbols all_71_0, all_71_1, all_71_2
% 43.89/8.91  | | |        gives:
% 43.89/8.91  | | |   (46)  (all_71_2 = 0 & open(all_50_1, d) = 0) | (h(all_17_0, all_52_0) =
% 43.89/8.91  | | |           all_71_0 & combo(all_17_0, d, d) = all_71_1 &
% 43.89/8.91  | | |           $ki_accessible(all_17_0, all_17_0) = all_71_2 & ( ~ (all_71_0 =
% 43.89/8.91  | | |               0) |  ~ (all_71_1 = 0) |  ~ (all_71_2 = 0)))
% 43.89/8.91  | | | 
% 43.89/8.91  | | | DELTA: instantiating (45) with fresh symbol all_72_0 gives:
% 43.89/8.92  | | |   (47)  $ki_exists_in_world_$i(all_17_0, all_72_0) = 0 & $i(all_72_0) &  !
% 43.89/8.92  | | |         [v0: $ki_world] :  ! [v1: int] :  ! [v2: $ki_world] :  ! [v3: int]
% 43.89/8.92  | | |         : (v3 = 0 | v1 = 0 |  ~ (closed(v2, all_52_0) = v3) |  ~
% 43.89/8.92  | | |           (combo(v0, all_52_0, all_52_0) = v1) |  ~ $ki_world(v2) |  ~
% 43.89/8.92  | | |           $ki_world(v0) |  ? [v4: int] :  ? [v5: any] :  ? [v6: any] : ((
% 43.89/8.92  | | |               ~ (v4 = 0) & $ki_accessible(v0, v2) = v4) | (h(v0, o) = v6 &
% 43.89/8.92  | | |               closed(v0, all_52_0) = v5 & $ki_accessible(all_17_0, v0) =
% 43.89/8.92  | | |               v4 & ( ~ (v6 = 0) |  ~ (v5 = 0) |  ~ (v4 = 0))))) &  ! [v0:
% 43.89/8.92  | | |           $ki_world] :  ! [v1: $ki_world] :  ! [v2: int] : (v2 = 0 |  ~
% 43.89/8.92  | | |           (h(v0, all_72_0) = 0) |  ~ (open(v1, all_52_0) = v2) |  ~
% 43.89/8.92  | | |           $ki_world(v1) |  ~ $ki_world(v0) |  ? [v3: int] :  ? [v4: any] :
% 43.89/8.92  | | |            ? [v5: any] : (( ~ (v3 = 0) & $ki_accessible(v0, v1) = v3) |
% 43.89/8.92  | | |             (closed(v0, all_52_0) = v4 & combo(v0, all_52_0, all_52_0) =
% 43.89/8.92  | | |               v5 & $ki_accessible(all_17_0, v0) = v3 & ( ~ (v5 = 0) |  ~
% 43.89/8.92  | | |                 (v4 = 0) |  ~ (v3 = 0))))) &  ! [v0: $ki_world] :  ! [v1:
% 43.89/8.92  | | |           $ki_world] :  ! [v2: int] : (v2 = 0 |  ~ (h(v0, o) = 0) |  ~
% 43.89/8.92  | | |           (closed(v1, all_52_0) = v2) |  ~ $ki_world(v1) |  ~
% 43.89/8.92  | | |           $ki_world(v0) |  ? [v3: int] :  ? [v4: any] :  ? [v5: any] : ((
% 43.89/8.92  | | |               ~ (v3 = 0) & $ki_accessible(v0, v1) = v3) | (closed(v0,
% 43.89/8.92  | | |                 all_52_0) = v4 & combo(v0, all_52_0, all_52_0) = v5 &
% 43.89/8.92  | | |               $ki_accessible(all_17_0, v0) = v3 & ( ~ (v4 = 0) |  ~ (v3 =
% 43.89/8.92  | | |                   0) | v5 = 0)))) &  ! [v0: $ki_world] :  ! [v1:
% 43.89/8.92  | | |           $ki_world] :  ! [v2: int] : (v2 = 0 |  ~ (closed(v1, all_52_0) =
% 43.89/8.92  | | |             v2) |  ~ (closed(v0, all_52_0) = 0) |  ~ $ki_world(v1) |  ~
% 43.89/8.92  | | |           $ki_world(v0) |  ? [v3: int] :  ? [v4: any] :  ? [v5: any] : ((
% 43.89/8.92  | | |               ~ (v3 = 0) & $ki_accessible(v0, v1) = v3) | (h(v0, o) = v5 &
% 43.89/8.92  | | |               combo(v0, all_52_0, all_52_0) = v4 &
% 43.89/8.92  | | |               $ki_accessible(all_17_0, v0) = v3 & ( ~ (v5 = 0) |  ~ (v3 =
% 43.89/8.92  | | |                   0) | v4 = 0)))) &  ! [v0: $ki_world] :  ! [v1:
% 43.89/8.92  | | |           $ki_world] :  ! [v2: int] : (v2 = 0 |  ~ (closed(v1, all_52_0) =
% 43.89/8.92  | | |             v2) |  ~ ($ki_accessible(all_17_0, v0) = 0) |  ~ $ki_world(v1)
% 43.89/8.92  | | |           |  ~ $ki_world(v0) |  ? [v3: int] :  ? [v4: any] :  ? [v5: any]
% 43.89/8.92  | | |           : (( ~ (v3 = 0) & $ki_accessible(v0, v1) = v3) | (h(v0, o) = v5
% 43.89/8.92  | | |               & closed(v0, all_52_0) = v3 & combo(v0, all_52_0, all_52_0)
% 43.89/8.92  | | |               = v4 & ( ~ (v5 = 0) |  ~ (v3 = 0) | v4 = 0)))) &  ! [v0:
% 43.89/8.92  | | |           $ki_world] :  ! [v1: $ki_world] :  ! [v2: int] : (v2 = 0 |  ~
% 43.89/8.92  | | |           (closed(v0, all_52_0) = 0) |  ~ (open(v1, all_52_0) = v2) |  ~
% 43.89/8.92  | | |           $ki_world(v1) |  ~ $ki_world(v0) |  ? [v3: int] :  ? [v4: any] :
% 43.89/8.92  | | |            ? [v5: any] : (( ~ (v3 = 0) & $ki_accessible(v0, v1) = v3) |
% 43.89/8.92  | | |             (h(v0, all_72_0) = v5 & combo(v0, all_52_0, all_52_0) = v4 &
% 43.89/8.92  | | |               $ki_accessible(all_17_0, v0) = v3 & ( ~ (v5 = 0) |  ~ (v4 =
% 43.89/8.92  | | |                   0) |  ~ (v3 = 0))))) &  ! [v0: $ki_world] :  ! [v1:
% 43.89/8.92  | | |           $ki_world] :  ! [v2: int] : (v2 = 0 |  ~ (combo(v0, all_52_0,
% 43.89/8.92  | | |               all_52_0) = 0) |  ~ (open(v1, all_52_0) = v2) |  ~
% 43.89/8.92  | | |           $ki_world(v1) |  ~ $ki_world(v0) |  ? [v3: int] :  ? [v4: any] :
% 43.89/8.92  | | |            ? [v5: any] : (( ~ (v3 = 0) & $ki_accessible(v0, v1) = v3) |
% 43.89/8.92  | | |             (h(v0, all_72_0) = v5 & closed(v0, all_52_0) = v4 &
% 43.89/8.92  | | |               $ki_accessible(all_17_0, v0) = v3 & ( ~ (v5 = 0) |  ~ (v4 =
% 43.89/8.92  | | |                   0) |  ~ (v3 = 0))))) &  ! [v0: $ki_world] :  ! [v1:
% 43.89/8.92  | | |           $ki_world] :  ! [v2: int] : (v2 = 0 |  ~ (open(v1, all_52_0) =
% 43.89/8.92  | | |             v2) |  ~ ($ki_accessible(all_17_0, v0) = 0) |  ~ $ki_world(v1)
% 43.89/8.92  | | |           |  ~ $ki_world(v0) |  ? [v3: int] :  ? [v4: any] :  ? [v5: any]
% 43.89/8.92  | | |           : (( ~ (v3 = 0) & $ki_accessible(v0, v1) = v3) | (h(v0,
% 43.89/8.92  | | |                 all_72_0) = v5 & closed(v0, all_52_0) = v3 & combo(v0,
% 43.89/8.92  | | |                 all_52_0, all_52_0) = v4 & ( ~ (v5 = 0) |  ~ (v4 = 0) |  ~
% 43.89/8.92  | | |                 (v3 = 0))))) &  ! [v0: $ki_world] :  ! [v1: int] :  ! [v2:
% 43.89/8.92  | | |           $ki_world] : (v1 = 0 |  ~ (combo(v0, all_52_0, all_52_0) = v1) |
% 43.89/8.92  | | |            ~ ($ki_accessible(v0, v2) = 0) |  ~ $ki_world(v2) |  ~
% 43.89/8.92  | | |           $ki_world(v0) |  ? [v3: int] :  ? [v4: any] :  ? [v5: any] :
% 43.89/8.92  | | |           ((v3 = 0 & closed(v2, all_52_0) = 0) | (h(v0, o) = v5 &
% 43.89/8.92  | | |               closed(v0, all_52_0) = v4 & $ki_accessible(all_17_0, v0) =
% 43.89/8.92  | | |               v3 & ( ~ (v5 = 0) |  ~ (v4 = 0) |  ~ (v3 = 0))))) &  ! [v0:
% 43.89/8.92  | | |           $ki_world] :  ! [v1: $ki_world] : ( ~ (h(v0, all_72_0) = 0) |  ~
% 43.89/8.92  | | |           ($ki_accessible(v0, v1) = 0) |  ~ $ki_world(v1) |  ~
% 43.89/8.92  | | |           $ki_world(v0) |  ? [v2: int] :  ? [v3: any] :  ? [v4: any] :
% 43.89/8.92  | | |           ((v2 = 0 & open(v1, all_52_0) = 0) | (closed(v0, all_52_0) = v3
% 43.89/8.92  | | |               & combo(v0, all_52_0, all_52_0) = v4 &
% 43.89/8.92  | | |               $ki_accessible(all_17_0, v0) = v2 & ( ~ (v4 = 0) |  ~ (v3 =
% 43.89/8.92  | | |                   0) |  ~ (v2 = 0))))) &  ! [v0: $ki_world] :  ! [v1:
% 43.89/8.92  | | |           $ki_world] : ( ~ (h(v0, o) = 0) |  ~ ($ki_accessible(v0, v1) =
% 43.89/8.92  | | |             0) |  ~ $ki_world(v1) |  ~ $ki_world(v0) |  ? [v2: int] :  ?
% 43.89/8.92  | | |           [v3: any] :  ? [v4: any] : ((v2 = 0 & closed(v1, all_52_0) = 0)
% 43.89/8.92  | | |             | (closed(v0, all_52_0) = v3 & combo(v0, all_52_0, all_52_0) =
% 43.89/8.92  | | |               v4 & $ki_accessible(all_17_0, v0) = v2 & ( ~ (v3 = 0) |  ~
% 43.89/8.92  | | |                 (v2 = 0) | v4 = 0)))) &  ! [v0: $ki_world] :  ! [v1:
% 43.89/8.92  | | |           $ki_world] : ( ~ (closed(v0, all_52_0) = 0) |  ~
% 43.89/8.92  | | |           ($ki_accessible(v0, v1) = 0) |  ~ $ki_world(v1) |  ~
% 43.89/8.92  | | |           $ki_world(v0) |  ? [v2: int] :  ? [v3: any] :  ? [v4: any] :
% 43.89/8.92  | | |           ((v2 = 0 & closed(v1, all_52_0) = 0) | (h(v0, o) = v4 &
% 43.89/8.92  | | |               combo(v0, all_52_0, all_52_0) = v3 &
% 43.89/8.92  | | |               $ki_accessible(all_17_0, v0) = v2 & ( ~ (v4 = 0) |  ~ (v2 =
% 43.89/8.92  | | |                   0) | v3 = 0)))) &  ! [v0: $ki_world] :  ! [v1:
% 43.89/8.92  | | |           $ki_world] : ( ~ (closed(v0, all_52_0) = 0) |  ~
% 43.89/8.92  | | |           ($ki_accessible(v0, v1) = 0) |  ~ $ki_world(v1) |  ~
% 43.89/8.92  | | |           $ki_world(v0) |  ? [v2: int] :  ? [v3: any] :  ? [v4: any] :
% 43.89/8.92  | | |           ((v2 = 0 & open(v1, all_52_0) = 0) | (h(v0, all_72_0) = v4 &
% 43.89/8.92  | | |               combo(v0, all_52_0, all_52_0) = v3 &
% 43.89/8.92  | | |               $ki_accessible(all_17_0, v0) = v2 & ( ~ (v4 = 0) |  ~ (v3 =
% 43.89/8.92  | | |                   0) |  ~ (v2 = 0))))) &  ! [v0: $ki_world] :  ! [v1:
% 43.89/8.92  | | |           $ki_world] : ( ~ (combo(v0, all_52_0, all_52_0) = 0) |  ~
% 43.89/8.92  | | |           ($ki_accessible(v0, v1) = 0) |  ~ $ki_world(v1) |  ~
% 43.89/8.92  | | |           $ki_world(v0) |  ? [v2: int] :  ? [v3: any] :  ? [v4: any] :
% 43.89/8.92  | | |           ((v2 = 0 & open(v1, all_52_0) = 0) | (h(v0, all_72_0) = v4 &
% 43.89/8.92  | | |               closed(v0, all_52_0) = v3 & $ki_accessible(all_17_0, v0) =
% 43.89/8.92  | | |               v2 & ( ~ (v4 = 0) |  ~ (v3 = 0) |  ~ (v2 = 0))))) &  ! [v0:
% 43.89/8.92  | | |           $ki_world] :  ! [v1: $ki_world] : ( ~ ($ki_accessible(v0, v1) =
% 43.89/8.92  | | |             0) |  ~ ($ki_accessible(all_17_0, v0) = 0) |  ~ $ki_world(v1)
% 43.89/8.92  | | |           |  ~ $ki_world(v0) |  ? [v2: int] :  ? [v3: any] :  ? [v4: any]
% 43.89/8.92  | | |           : ((v2 = 0 & closed(v1, all_52_0) = 0) | (h(v0, o) = v4 &
% 43.89/8.92  | | |               closed(v0, all_52_0) = v2 & combo(v0, all_52_0, all_52_0) =
% 43.89/8.92  | | |               v3 & ( ~ (v4 = 0) |  ~ (v2 = 0) | v3 = 0)))) &  ! [v0:
% 43.89/8.92  | | |           $ki_world] :  ! [v1: $ki_world] : ( ~ ($ki_accessible(v0, v1) =
% 43.89/8.92  | | |             0) |  ~ ($ki_accessible(all_17_0, v0) = 0) |  ~ $ki_world(v1)
% 43.89/8.92  | | |           |  ~ $ki_world(v0) |  ? [v2: int] :  ? [v3: any] :  ? [v4: any]
% 43.89/8.92  | | |           : ((v2 = 0 & open(v1, all_52_0) = 0) | (h(v0, all_72_0) = v4 &
% 43.89/8.92  | | |               closed(v0, all_52_0) = v2 & combo(v0, all_52_0, all_52_0) =
% 43.89/8.92  | | |               v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) |  ~ (v2 = 0)))))
% 43.89/8.92  | | | 
% 43.89/8.92  | | | ALPHA: (47) implies:
% 43.89/8.92  | | |   (48)  $i(all_72_0)
% 43.89/8.92  | | |   (49)  $ki_exists_in_world_$i(all_17_0, all_72_0) = 0
% 43.89/8.92  | | | 
% 43.89/8.92  | | | DELTA: instantiating (44) with fresh symbol all_75_0 gives:
% 43.89/8.93  | | |   (50)  $ki_exists_in_world_$i(all_17_0, all_75_0) = 0 & $i(all_75_0) &  !
% 43.89/8.93  | | |         [v0: $ki_world] :  ! [v1: int] :  ! [v2: $ki_world] :  ! [v3: int]
% 43.89/8.93  | | |         : (v3 = 0 | v1 = 0 |  ~ (closed(v2, all_52_0) = v3) |  ~
% 43.89/8.93  | | |           (combo(v0, all_52_0, d) = v1) |  ~ $ki_world(v2) |  ~
% 43.89/8.93  | | |           $ki_world(v0) |  ? [v4: int] :  ? [v5: any] :  ? [v6: any] : ((
% 43.89/8.93  | | |               ~ (v4 = 0) & $ki_accessible(v0, v2) = v4) | (h(v0, o) = v6 &
% 43.89/8.93  | | |               closed(v0, all_52_0) = v5 & $ki_accessible(all_17_0, v0) =
% 43.89/8.93  | | |               v4 & ( ~ (v6 = 0) |  ~ (v5 = 0) |  ~ (v4 = 0))))) &  ! [v0:
% 43.89/8.93  | | |           $ki_world] :  ! [v1: $ki_world] :  ! [v2: int] : (v2 = 0 |  ~
% 43.89/8.93  | | |           (h(v0, all_75_0) = 0) |  ~ (open(v1, all_52_0) = v2) |  ~
% 43.89/8.93  | | |           $ki_world(v1) |  ~ $ki_world(v0) |  ? [v3: int] :  ? [v4: any] :
% 43.89/8.93  | | |            ? [v5: any] : (( ~ (v3 = 0) & $ki_accessible(v0, v1) = v3) |
% 43.89/8.93  | | |             (closed(v0, all_52_0) = v4 & combo(v0, all_52_0, d) = v5 &
% 43.89/8.93  | | |               $ki_accessible(all_17_0, v0) = v3 & ( ~ (v5 = 0) |  ~ (v4 =
% 43.89/8.93  | | |                   0) |  ~ (v3 = 0))))) &  ! [v0: $ki_world] :  ! [v1:
% 43.89/8.93  | | |           $ki_world] :  ! [v2: int] : (v2 = 0 |  ~ (h(v0, o) = 0) |  ~
% 43.89/8.93  | | |           (closed(v1, all_52_0) = v2) |  ~ $ki_world(v1) |  ~
% 43.89/8.93  | | |           $ki_world(v0) |  ? [v3: int] :  ? [v4: any] :  ? [v5: any] : ((
% 43.89/8.93  | | |               ~ (v3 = 0) & $ki_accessible(v0, v1) = v3) | (closed(v0,
% 43.89/8.93  | | |                 all_52_0) = v4 & combo(v0, all_52_0, d) = v5 &
% 43.89/8.93  | | |               $ki_accessible(all_17_0, v0) = v3 & ( ~ (v4 = 0) |  ~ (v3 =
% 43.89/8.93  | | |                   0) | v5 = 0)))) &  ! [v0: $ki_world] :  ! [v1:
% 43.89/8.93  | | |           $ki_world] :  ! [v2: int] : (v2 = 0 |  ~ (closed(v1, all_52_0) =
% 43.89/8.93  | | |             v2) |  ~ (closed(v0, all_52_0) = 0) |  ~ $ki_world(v1) |  ~
% 43.89/8.93  | | |           $ki_world(v0) |  ? [v3: int] :  ? [v4: any] :  ? [v5: any] : ((
% 43.89/8.93  | | |               ~ (v3 = 0) & $ki_accessible(v0, v1) = v3) | (h(v0, o) = v5 &
% 43.89/8.93  | | |               combo(v0, all_52_0, d) = v4 & $ki_accessible(all_17_0, v0) =
% 43.89/8.93  | | |               v3 & ( ~ (v5 = 0) |  ~ (v3 = 0) | v4 = 0)))) &  ! [v0:
% 43.89/8.93  | | |           $ki_world] :  ! [v1: $ki_world] :  ! [v2: int] : (v2 = 0 |  ~
% 43.89/8.93  | | |           (closed(v1, all_52_0) = v2) |  ~ ($ki_accessible(all_17_0, v0) =
% 43.89/8.93  | | |             0) |  ~ $ki_world(v1) |  ~ $ki_world(v0) |  ? [v3: int] :  ?
% 43.89/8.93  | | |           [v4: any] :  ? [v5: any] : (( ~ (v3 = 0) & $ki_accessible(v0,
% 43.89/8.93  | | |                 v1) = v3) | (h(v0, o) = v5 & closed(v0, all_52_0) = v3 &
% 43.89/8.93  | | |               combo(v0, all_52_0, d) = v4 & ( ~ (v5 = 0) |  ~ (v3 = 0) |
% 43.89/8.93  | | |                 v4 = 0)))) &  ! [v0: $ki_world] :  ! [v1: $ki_world] :  !
% 43.89/8.93  | | |         [v2: int] : (v2 = 0 |  ~ (closed(v0, all_52_0) = 0) |  ~ (open(v1,
% 43.89/8.93  | | |               all_52_0) = v2) |  ~ $ki_world(v1) |  ~ $ki_world(v0) |  ?
% 43.89/8.93  | | |           [v3: int] :  ? [v4: any] :  ? [v5: any] : (( ~ (v3 = 0) &
% 43.89/8.93  | | |               $ki_accessible(v0, v1) = v3) | (h(v0, all_75_0) = v5 &
% 43.89/8.93  | | |               combo(v0, all_52_0, d) = v4 & $ki_accessible(all_17_0, v0) =
% 43.89/8.93  | | |               v3 & ( ~ (v5 = 0) |  ~ (v4 = 0) |  ~ (v3 = 0))))) &  ! [v0:
% 43.89/8.93  | | |           $ki_world] :  ! [v1: $ki_world] :  ! [v2: int] : (v2 = 0 |  ~
% 43.89/8.93  | | |           (combo(v0, all_52_0, d) = 0) |  ~ (open(v1, all_52_0) = v2) |  ~
% 43.89/8.93  | | |           $ki_world(v1) |  ~ $ki_world(v0) |  ? [v3: int] :  ? [v4: any] :
% 43.89/8.93  | | |            ? [v5: any] : (( ~ (v3 = 0) & $ki_accessible(v0, v1) = v3) |
% 43.89/8.93  | | |             (h(v0, all_75_0) = v5 & closed(v0, all_52_0) = v4 &
% 43.89/8.93  | | |               $ki_accessible(all_17_0, v0) = v3 & ( ~ (v5 = 0) |  ~ (v4 =
% 43.89/8.93  | | |                   0) |  ~ (v3 = 0))))) &  ! [v0: $ki_world] :  ! [v1:
% 43.89/8.93  | | |           $ki_world] :  ! [v2: int] : (v2 = 0 |  ~ (open(v1, all_52_0) =
% 43.89/8.93  | | |             v2) |  ~ ($ki_accessible(all_17_0, v0) = 0) |  ~ $ki_world(v1)
% 43.89/8.93  | | |           |  ~ $ki_world(v0) |  ? [v3: int] :  ? [v4: any] :  ? [v5: any]
% 43.89/8.93  | | |           : (( ~ (v3 = 0) & $ki_accessible(v0, v1) = v3) | (h(v0,
% 43.89/8.93  | | |                 all_75_0) = v5 & closed(v0, all_52_0) = v3 & combo(v0,
% 43.89/8.93  | | |                 all_52_0, d) = v4 & ( ~ (v5 = 0) |  ~ (v4 = 0) |  ~ (v3 =
% 43.89/8.93  | | |                   0))))) &  ! [v0: $ki_world] :  ! [v1: int] :  ! [v2:
% 43.89/8.93  | | |           $ki_world] : (v1 = 0 |  ~ (combo(v0, all_52_0, d) = v1) |  ~
% 43.89/8.93  | | |           ($ki_accessible(v0, v2) = 0) |  ~ $ki_world(v2) |  ~
% 43.89/8.93  | | |           $ki_world(v0) |  ? [v3: int] :  ? [v4: any] :  ? [v5: any] :
% 43.89/8.93  | | |           ((v3 = 0 & closed(v2, all_52_0) = 0) | (h(v0, o) = v5 &
% 43.89/8.93  | | |               closed(v0, all_52_0) = v4 & $ki_accessible(all_17_0, v0) =
% 43.89/8.93  | | |               v3 & ( ~ (v5 = 0) |  ~ (v4 = 0) |  ~ (v3 = 0))))) &  ! [v0:
% 43.89/8.93  | | |           $ki_world] :  ! [v1: $ki_world] : ( ~ (h(v0, all_75_0) = 0) |  ~
% 43.89/8.93  | | |           ($ki_accessible(v0, v1) = 0) |  ~ $ki_world(v1) |  ~
% 43.89/8.93  | | |           $ki_world(v0) |  ? [v2: int] :  ? [v3: any] :  ? [v4: any] :
% 43.89/8.93  | | |           ((v2 = 0 & open(v1, all_52_0) = 0) | (closed(v0, all_52_0) = v3
% 43.89/8.93  | | |               & combo(v0, all_52_0, d) = v4 & $ki_accessible(all_17_0, v0)
% 43.89/8.93  | | |               = v2 & ( ~ (v4 = 0) |  ~ (v3 = 0) |  ~ (v2 = 0))))) &  !
% 43.89/8.93  | | |         [v0: $ki_world] :  ! [v1: $ki_world] : ( ~ (h(v0, o) = 0) |  ~
% 43.89/8.93  | | |           ($ki_accessible(v0, v1) = 0) |  ~ $ki_world(v1) |  ~
% 43.89/8.93  | | |           $ki_world(v0) |  ? [v2: int] :  ? [v3: any] :  ? [v4: any] :
% 43.89/8.93  | | |           ((v2 = 0 & closed(v1, all_52_0) = 0) | (closed(v0, all_52_0) =
% 43.89/8.93  | | |               v3 & combo(v0, all_52_0, d) = v4 & $ki_accessible(all_17_0,
% 43.89/8.93  | | |                 v0) = v2 & ( ~ (v3 = 0) |  ~ (v2 = 0) | v4 = 0)))) &  !
% 43.89/8.93  | | |         [v0: $ki_world] :  ! [v1: $ki_world] : ( ~ (closed(v0, all_52_0) =
% 43.89/8.93  | | |             0) |  ~ ($ki_accessible(v0, v1) = 0) |  ~ $ki_world(v1) |  ~
% 43.89/8.93  | | |           $ki_world(v0) |  ? [v2: int] :  ? [v3: any] :  ? [v4: any] :
% 43.89/8.93  | | |           ((v2 = 0 & closed(v1, all_52_0) = 0) | (h(v0, o) = v4 &
% 43.89/8.93  | | |               combo(v0, all_52_0, d) = v3 & $ki_accessible(all_17_0, v0) =
% 43.89/8.93  | | |               v2 & ( ~ (v4 = 0) |  ~ (v2 = 0) | v3 = 0)))) &  ! [v0:
% 43.89/8.93  | | |           $ki_world] :  ! [v1: $ki_world] : ( ~ (closed(v0, all_52_0) = 0)
% 43.89/8.93  | | |           |  ~ ($ki_accessible(v0, v1) = 0) |  ~ $ki_world(v1) |  ~
% 43.89/8.93  | | |           $ki_world(v0) |  ? [v2: int] :  ? [v3: any] :  ? [v4: any] :
% 43.89/8.93  | | |           ((v2 = 0 & open(v1, all_52_0) = 0) | (h(v0, all_75_0) = v4 &
% 43.89/8.93  | | |               combo(v0, all_52_0, d) = v3 & $ki_accessible(all_17_0, v0) =
% 43.89/8.93  | | |               v2 & ( ~ (v4 = 0) |  ~ (v3 = 0) |  ~ (v2 = 0))))) &  ! [v0:
% 43.89/8.93  | | |           $ki_world] :  ! [v1: $ki_world] : ( ~ (combo(v0, all_52_0, d) =
% 43.89/8.93  | | |             0) |  ~ ($ki_accessible(v0, v1) = 0) |  ~ $ki_world(v1) |  ~
% 43.89/8.93  | | |           $ki_world(v0) |  ? [v2: int] :  ? [v3: any] :  ? [v4: any] :
% 43.89/8.93  | | |           ((v2 = 0 & open(v1, all_52_0) = 0) | (h(v0, all_75_0) = v4 &
% 43.89/8.93  | | |               closed(v0, all_52_0) = v3 & $ki_accessible(all_17_0, v0) =
% 43.89/8.93  | | |               v2 & ( ~ (v4 = 0) |  ~ (v3 = 0) |  ~ (v2 = 0))))) &  ! [v0:
% 43.89/8.93  | | |           $ki_world] :  ! [v1: $ki_world] : ( ~ ($ki_accessible(v0, v1) =
% 43.89/8.93  | | |             0) |  ~ ($ki_accessible(all_17_0, v0) = 0) |  ~ $ki_world(v1)
% 43.89/8.93  | | |           |  ~ $ki_world(v0) |  ? [v2: int] :  ? [v3: any] :  ? [v4: any]
% 43.89/8.93  | | |           : ((v2 = 0 & closed(v1, all_52_0) = 0) | (h(v0, o) = v4 &
% 43.89/8.93  | | |               closed(v0, all_52_0) = v2 & combo(v0, all_52_0, d) = v3 & (
% 43.89/8.93  | | |                 ~ (v4 = 0) |  ~ (v2 = 0) | v3 = 0)))) &  ! [v0: $ki_world]
% 43.89/8.93  | | |         :  ! [v1: $ki_world] : ( ~ ($ki_accessible(v0, v1) = 0) |  ~
% 43.89/8.93  | | |           ($ki_accessible(all_17_0, v0) = 0) |  ~ $ki_world(v1) |  ~
% 43.89/8.93  | | |           $ki_world(v0) |  ? [v2: int] :  ? [v3: any] :  ? [v4: any] :
% 43.89/8.93  | | |           ((v2 = 0 & open(v1, all_52_0) = 0) | (h(v0, all_75_0) = v4 &
% 43.89/8.93  | | |               closed(v0, all_52_0) = v2 & combo(v0, all_52_0, d) = v3 & (
% 43.89/8.93  | | |                 ~ (v4 = 0) |  ~ (v3 = 0) |  ~ (v2 = 0)))))
% 43.89/8.93  | | | 
% 43.89/8.93  | | | ALPHA: (50) implies:
% 43.89/8.93  | | |   (51)  $i(all_75_0)
% 43.89/8.93  | | |   (52)  $ki_exists_in_world_$i(all_17_0, all_75_0) = 0
% 43.89/8.93  | | | 
% 43.89/8.93  | | | DELTA: instantiating (43) with fresh symbol all_78_0 gives:
% 43.89/8.94  | | |   (53)  $ki_exists_in_world_$i(all_17_0, all_78_0) = 0 & $i(all_78_0) &  !
% 43.89/8.94  | | |         [v0: $ki_world] :  ! [v1: int] :  ! [v2: $ki_world] :  ! [v3: int]
% 43.89/8.94  | | |         : (v3 = 0 | v1 = 0 |  ~ (closed(v2, d) = v3) |  ~ (combo(v0, d,
% 43.89/8.94  | | |               all_52_0) = v1) |  ~ $ki_world(v2) |  ~ $ki_world(v0) |  ?
% 43.89/8.94  | | |           [v4: int] :  ? [v5: any] :  ? [v6: any] : (( ~ (v4 = 0) &
% 43.89/8.94  | | |               $ki_accessible(v0, v2) = v4) | (h(v0, o) = v6 & closed(v0,
% 43.89/8.94  | | |                 d) = v5 & $ki_accessible(all_17_0, v0) = v4 & ( ~ (v6 = 0)
% 43.89/8.94  | | |                 |  ~ (v5 = 0) |  ~ (v4 = 0))))) &  ! [v0: $ki_world] :  !
% 43.89/8.94  | | |         [v1: $ki_world] :  ! [v2: int] : (v2 = 0 |  ~ (h(v0, all_78_0) =
% 43.89/8.94  | | |             0) |  ~ (open(v1, d) = v2) |  ~ $ki_world(v1) |  ~
% 43.89/8.94  | | |           $ki_world(v0) |  ? [v3: int] :  ? [v4: any] :  ? [v5: any] : ((
% 43.89/8.94  | | |               ~ (v3 = 0) & $ki_accessible(v0, v1) = v3) | (closed(v0, d) =
% 43.89/8.94  | | |               v4 & combo(v0, d, all_52_0) = v5 & $ki_accessible(all_17_0,
% 43.89/8.94  | | |                 v0) = v3 & ( ~ (v5 = 0) |  ~ (v4 = 0) |  ~ (v3 = 0))))) & 
% 43.89/8.94  | | |         ! [v0: $ki_world] :  ! [v1: $ki_world] :  ! [v2: int] : (v2 = 0 | 
% 43.89/8.94  | | |           ~ (h(v0, o) = 0) |  ~ (closed(v1, d) = v2) |  ~ $ki_world(v1) | 
% 43.89/8.94  | | |           ~ $ki_world(v0) |  ? [v3: int] :  ? [v4: any] :  ? [v5: any] :
% 43.89/8.94  | | |           (( ~ (v3 = 0) & $ki_accessible(v0, v1) = v3) | (closed(v0, d) =
% 43.89/8.94  | | |               v4 & combo(v0, d, all_52_0) = v5 & $ki_accessible(all_17_0,
% 43.89/8.94  | | |                 v0) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) | v5 = 0)))) &  !
% 43.89/8.94  | | |         [v0: $ki_world] :  ! [v1: $ki_world] :  ! [v2: int] : (v2 = 0 |  ~
% 43.89/8.94  | | |           (closed(v1, d) = v2) |  ~ (closed(v0, d) = 0) |  ~ $ki_world(v1)
% 43.89/8.94  | | |           |  ~ $ki_world(v0) |  ? [v3: int] :  ? [v4: any] :  ? [v5: any]
% 43.89/8.94  | | |           : (( ~ (v3 = 0) & $ki_accessible(v0, v1) = v3) | (h(v0, o) = v5
% 43.89/8.94  | | |               & combo(v0, d, all_52_0) = v4 & $ki_accessible(all_17_0, v0)
% 43.89/8.94  | | |               = v3 & ( ~ (v5 = 0) |  ~ (v3 = 0) | v4 = 0)))) &  ! [v0:
% 43.89/8.94  | | |           $ki_world] :  ! [v1: $ki_world] :  ! [v2: int] : (v2 = 0 |  ~
% 43.89/8.94  | | |           (closed(v1, d) = v2) |  ~ ($ki_accessible(all_17_0, v0) = 0) | 
% 43.89/8.94  | | |           ~ $ki_world(v1) |  ~ $ki_world(v0) |  ? [v3: int] :  ? [v4: any]
% 43.89/8.94  | | |           :  ? [v5: any] : (( ~ (v3 = 0) & $ki_accessible(v0, v1) = v3) |
% 43.89/8.94  | | |             (h(v0, o) = v5 & closed(v0, d) = v3 & combo(v0, d, all_52_0) =
% 43.89/8.94  | | |               v4 & ( ~ (v5 = 0) |  ~ (v3 = 0) | v4 = 0)))) &  ! [v0:
% 43.89/8.94  | | |           $ki_world] :  ! [v1: $ki_world] :  ! [v2: int] : (v2 = 0 |  ~
% 43.89/8.94  | | |           (closed(v0, d) = 0) |  ~ (open(v1, d) = v2) |  ~ $ki_world(v1) |
% 43.89/8.94  | | |            ~ $ki_world(v0) |  ? [v3: int] :  ? [v4: any] :  ? [v5: any] :
% 43.89/8.94  | | |           (( ~ (v3 = 0) & $ki_accessible(v0, v1) = v3) | (h(v0, all_78_0)
% 43.89/8.94  | | |               = v5 & combo(v0, d, all_52_0) = v4 &
% 43.89/8.94  | | |               $ki_accessible(all_17_0, v0) = v3 & ( ~ (v5 = 0) |  ~ (v4 =
% 43.89/8.94  | | |                   0) |  ~ (v3 = 0))))) &  ! [v0: $ki_world] :  ! [v1:
% 43.89/8.94  | | |           $ki_world] :  ! [v2: int] : (v2 = 0 |  ~ (combo(v0, d, all_52_0)
% 43.89/8.94  | | |             = 0) |  ~ (open(v1, d) = v2) |  ~ $ki_world(v1) |  ~
% 43.89/8.94  | | |           $ki_world(v0) |  ? [v3: int] :  ? [v4: any] :  ? [v5: any] : ((
% 43.89/8.94  | | |               ~ (v3 = 0) & $ki_accessible(v0, v1) = v3) | (h(v0, all_78_0)
% 43.89/8.94  | | |               = v5 & closed(v0, d) = v4 & $ki_accessible(all_17_0, v0) =
% 43.89/8.94  | | |               v3 & ( ~ (v5 = 0) |  ~ (v4 = 0) |  ~ (v3 = 0))))) &  ! [v0:
% 43.89/8.94  | | |           $ki_world] :  ! [v1: $ki_world] :  ! [v2: int] : (v2 = 0 |  ~
% 43.89/8.94  | | |           (open(v1, d) = v2) |  ~ ($ki_accessible(all_17_0, v0) = 0) |  ~
% 43.89/8.94  | | |           $ki_world(v1) |  ~ $ki_world(v0) |  ? [v3: int] :  ? [v4: any] :
% 43.89/8.94  | | |            ? [v5: any] : (( ~ (v3 = 0) & $ki_accessible(v0, v1) = v3) |
% 43.89/8.94  | | |             (h(v0, all_78_0) = v5 & closed(v0, d) = v3 & combo(v0, d,
% 43.89/8.94  | | |                 all_52_0) = v4 & ( ~ (v5 = 0) |  ~ (v4 = 0) |  ~ (v3 =
% 43.89/8.94  | | |                   0))))) &  ! [v0: $ki_world] :  ! [v1: int] :  ! [v2:
% 43.89/8.94  | | |           $ki_world] : (v1 = 0 |  ~ (combo(v0, d, all_52_0) = v1) |  ~
% 43.89/8.94  | | |           ($ki_accessible(v0, v2) = 0) |  ~ $ki_world(v2) |  ~
% 43.89/8.94  | | |           $ki_world(v0) |  ? [v3: int] :  ? [v4: any] :  ? [v5: any] :
% 43.89/8.94  | | |           ((v3 = 0 & closed(v2, d) = 0) | (h(v0, o) = v5 & closed(v0, d) =
% 43.89/8.94  | | |               v4 & $ki_accessible(all_17_0, v0) = v3 & ( ~ (v5 = 0) |  ~
% 43.89/8.94  | | |                 (v4 = 0) |  ~ (v3 = 0))))) &  ! [v0: $ki_world] :  ! [v1:
% 43.89/8.94  | | |           $ki_world] : ( ~ (h(v0, all_78_0) = 0) |  ~ ($ki_accessible(v0,
% 43.89/8.94  | | |               v1) = 0) |  ~ $ki_world(v1) |  ~ $ki_world(v0) |  ? [v2:
% 43.89/8.94  | | |             int] :  ? [v3: any] :  ? [v4: any] : ((v2 = 0 & open(v1, d) =
% 43.89/8.94  | | |               0) | (closed(v0, d) = v3 & combo(v0, d, all_52_0) = v4 &
% 43.89/8.94  | | |               $ki_accessible(all_17_0, v0) = v2 & ( ~ (v4 = 0) |  ~ (v3 =
% 43.89/8.94  | | |                   0) |  ~ (v2 = 0))))) &  ! [v0: $ki_world] :  ! [v1:
% 43.89/8.94  | | |           $ki_world] : ( ~ (h(v0, o) = 0) |  ~ ($ki_accessible(v0, v1) =
% 43.89/8.94  | | |             0) |  ~ $ki_world(v1) |  ~ $ki_world(v0) |  ? [v2: int] :  ?
% 43.89/8.94  | | |           [v3: any] :  ? [v4: any] : ((v2 = 0 & closed(v1, d) = 0) |
% 43.89/8.94  | | |             (closed(v0, d) = v3 & combo(v0, d, all_52_0) = v4 &
% 43.89/8.94  | | |               $ki_accessible(all_17_0, v0) = v2 & ( ~ (v3 = 0) |  ~ (v2 =
% 43.89/8.94  | | |                   0) | v4 = 0)))) &  ! [v0: $ki_world] :  ! [v1:
% 43.89/8.94  | | |           $ki_world] : ( ~ (closed(v0, d) = 0) |  ~ ($ki_accessible(v0,
% 43.89/8.94  | | |               v1) = 0) |  ~ $ki_world(v1) |  ~ $ki_world(v0) |  ? [v2:
% 43.89/8.94  | | |             int] :  ? [v3: any] :  ? [v4: any] : ((v2 = 0 & closed(v1, d)
% 43.89/8.94  | | |               = 0) | (h(v0, o) = v4 & combo(v0, d, all_52_0) = v3 &
% 43.89/8.94  | | |               $ki_accessible(all_17_0, v0) = v2 & ( ~ (v4 = 0) |  ~ (v2 =
% 43.89/8.94  | | |                   0) | v3 = 0)))) &  ! [v0: $ki_world] :  ! [v1:
% 43.89/8.94  | | |           $ki_world] : ( ~ (closed(v0, d) = 0) |  ~ ($ki_accessible(v0,
% 43.89/8.94  | | |               v1) = 0) |  ~ $ki_world(v1) |  ~ $ki_world(v0) |  ? [v2:
% 43.89/8.94  | | |             int] :  ? [v3: any] :  ? [v4: any] : ((v2 = 0 & open(v1, d) =
% 43.89/8.94  | | |               0) | (h(v0, all_78_0) = v4 & combo(v0, d, all_52_0) = v3 &
% 43.89/8.94  | | |               $ki_accessible(all_17_0, v0) = v2 & ( ~ (v4 = 0) |  ~ (v3 =
% 43.89/8.94  | | |                   0) |  ~ (v2 = 0))))) &  ! [v0: $ki_world] :  ! [v1:
% 43.89/8.94  | | |           $ki_world] : ( ~ (combo(v0, d, all_52_0) = 0) |  ~
% 43.89/8.94  | | |           ($ki_accessible(v0, v1) = 0) |  ~ $ki_world(v1) |  ~
% 43.89/8.94  | | |           $ki_world(v0) |  ? [v2: int] :  ? [v3: any] :  ? [v4: any] :
% 43.89/8.94  | | |           ((v2 = 0 & open(v1, d) = 0) | (h(v0, all_78_0) = v4 & closed(v0,
% 43.89/8.94  | | |                 d) = v3 & $ki_accessible(all_17_0, v0) = v2 & ( ~ (v4 = 0)
% 43.89/8.94  | | |                 |  ~ (v3 = 0) |  ~ (v2 = 0))))) &  ! [v0: $ki_world] :  !
% 43.89/8.94  | | |         [v1: $ki_world] : ( ~ ($ki_accessible(v0, v1) = 0) |  ~
% 43.89/8.94  | | |           ($ki_accessible(all_17_0, v0) = 0) |  ~ $ki_world(v1) |  ~
% 43.89/8.94  | | |           $ki_world(v0) |  ? [v2: int] :  ? [v3: any] :  ? [v4: any] :
% 43.89/8.94  | | |           ((v2 = 0 & closed(v1, d) = 0) | (h(v0, o) = v4 & closed(v0, d) =
% 43.89/8.94  | | |               v2 & combo(v0, d, all_52_0) = v3 & ( ~ (v4 = 0) |  ~ (v2 =
% 43.89/8.94  | | |                   0) | v3 = 0)))) &  ! [v0: $ki_world] :  ! [v1:
% 43.89/8.94  | | |           $ki_world] : ( ~ ($ki_accessible(v0, v1) = 0) |  ~
% 43.89/8.94  | | |           ($ki_accessible(all_17_0, v0) = 0) |  ~ $ki_world(v1) |  ~
% 43.89/8.94  | | |           $ki_world(v0) |  ? [v2: int] :  ? [v3: any] :  ? [v4: any] :
% 43.89/8.94  | | |           ((v2 = 0 & open(v1, d) = 0) | (h(v0, all_78_0) = v4 & closed(v0,
% 43.89/8.94  | | |                 d) = v2 & combo(v0, d, all_52_0) = v3 & ( ~ (v4 = 0) |  ~
% 43.89/8.94  | | |                 (v3 = 0) |  ~ (v2 = 0)))))
% 43.89/8.94  | | | 
% 43.89/8.94  | | | ALPHA: (53) implies:
% 43.89/8.94  | | |   (54)  $i(all_78_0)
% 43.89/8.95  | | |   (55)  $ki_exists_in_world_$i(all_17_0, all_78_0) = 0
% 43.89/8.95  | | |   (56)   ! [v0: $ki_world] :  ! [v1: $ki_world] : ( ~ (closed(v0, d) = 0)
% 43.89/8.95  | | |           |  ~ ($ki_accessible(v0, v1) = 0) |  ~ $ki_world(v1) |  ~
% 43.89/8.95  | | |           $ki_world(v0) |  ? [v2: int] :  ? [v3: any] :  ? [v4: any] :
% 43.89/8.95  | | |           ((v2 = 0 & open(v1, d) = 0) | (h(v0, all_78_0) = v4 & combo(v0,
% 43.89/8.95  | | |                 d, all_52_0) = v3 & $ki_accessible(all_17_0, v0) = v2 & (
% 43.89/8.95  | | |                 ~ (v4 = 0) |  ~ (v3 = 0) |  ~ (v2 = 0)))))
% 43.89/8.95  | | |   (57)   ! [v0: $ki_world] :  ! [v1: $ki_world] :  ! [v2: int] : (v2 = 0 |
% 43.89/8.95  | | |            ~ (closed(v0, d) = 0) |  ~ (open(v1, d) = v2) |  ~
% 43.89/8.95  | | |           $ki_world(v1) |  ~ $ki_world(v0) |  ? [v3: int] :  ? [v4: any] :
% 43.89/8.95  | | |            ? [v5: any] : (( ~ (v3 = 0) & $ki_accessible(v0, v1) = v3) |
% 43.89/8.95  | | |             (h(v0, all_78_0) = v5 & combo(v0, d, all_52_0) = v4 &
% 43.89/8.95  | | |               $ki_accessible(all_17_0, v0) = v3 & ( ~ (v5 = 0) |  ~ (v4 =
% 43.89/8.95  | | |                   0) |  ~ (v3 = 0)))))
% 43.89/8.95  | | | 
% 43.89/8.95  | | | GROUND_INST: instantiating (57) with all_17_0, all_50_1, all_50_0,
% 43.89/8.95  | | |              simplifying with (11), (16), (29), (31) gives:
% 43.89/8.95  | | |   (58)  all_50_0 = 0 |  ? [v0: int] :  ? [v1: any] :  ? [v2: any] : (( ~
% 43.89/8.95  | | |             (v0 = 0) & $ki_accessible(all_17_0, all_50_1) = v0) |
% 43.89/8.95  | | |           (h(all_17_0, all_78_0) = v2 & combo(all_17_0, d, all_52_0) = v1
% 43.89/8.95  | | |             & $ki_accessible(all_17_0, all_17_0) = v0 & ( ~ (v2 = 0) |  ~
% 43.89/8.95  | | |               (v1 = 0) |  ~ (v0 = 0))))
% 43.89/8.95  | | | 
% 43.89/8.95  | | | GROUND_INST: instantiating (57) with all_17_0, all_17_0, all_33_0,
% 43.89/8.95  | | |              simplifying with (11), (16), (20) gives:
% 43.89/8.95  | | |   (59)  all_33_0 = 0 |  ? [v0: int] :  ? [v1: any] :  ? [v2: any] : (( ~
% 43.89/8.95  | | |             (v0 = 0) & $ki_accessible(all_17_0, all_17_0) = v0) |
% 43.89/8.95  | | |           (h(all_17_0, all_78_0) = v2 & combo(all_17_0, d, all_52_0) = v1
% 43.89/8.95  | | |             & $ki_accessible(all_17_0, all_17_0) = v0 & ( ~ (v2 = 0) |  ~
% 43.89/8.95  | | |               (v1 = 0) |  ~ (v0 = 0))))
% 43.89/8.95  | | | 
% 43.89/8.95  | | | GROUND_INST: instantiating (56) with all_17_0, all_50_1, simplifying with
% 43.89/8.95  | | |              (11), (16), (29), (30) gives:
% 43.89/8.95  | | |   (60)   ? [v0: int] :  ? [v1: any] :  ? [v2: any] : ((v0 = 0 &
% 43.89/8.95  | | |             open(all_50_1, d) = 0) | (h(all_17_0, all_78_0) = v2 &
% 43.89/8.95  | | |             combo(all_17_0, d, all_52_0) = v1 & $ki_accessible(all_17_0,
% 43.89/8.95  | | |               all_17_0) = v0 & ( ~ (v2 = 0) |  ~ (v1 = 0) |  ~ (v0 = 0))))
% 43.89/8.95  | | | 
% 43.89/8.95  | | | DELTA: instantiating (60) with fresh symbols all_81_0, all_81_1, all_81_2
% 43.89/8.95  | | |        gives:
% 43.89/8.95  | | |   (61)  (all_81_2 = 0 & open(all_50_1, d) = 0) | (h(all_17_0, all_78_0) =
% 43.89/8.95  | | |           all_81_0 & combo(all_17_0, d, all_52_0) = all_81_1 &
% 43.89/8.95  | | |           $ki_accessible(all_17_0, all_17_0) = all_81_2 & ( ~ (all_81_0 =
% 43.89/8.95  | | |               0) |  ~ (all_81_1 = 0) |  ~ (all_81_2 = 0)))
% 43.89/8.95  | | | 
% 43.89/8.95  | | | BETA: splitting (46) gives:
% 43.89/8.95  | | | 
% 43.89/8.95  | | | Case 1:
% 43.89/8.95  | | | | 
% 43.89/8.95  | | | |   (62)  all_71_2 = 0 & open(all_50_1, d) = 0
% 43.89/8.95  | | | | 
% 43.89/8.95  | | | | ALPHA: (62) implies:
% 43.89/8.95  | | | |   (63)  open(all_50_1, d) = 0
% 43.89/8.95  | | | | 
% 43.89/8.95  | | | | REF_CLOSE: (7), (28), (31), (63) are inconsistent by sub-proof #4.
% 43.89/8.95  | | | | 
% 43.89/8.95  | | | Case 2:
% 43.89/8.95  | | | | 
% 43.89/8.95  | | | |   (64)  h(all_17_0, all_52_0) = all_71_0 & combo(all_17_0, d, d) =
% 43.89/8.95  | | | |         all_71_1 & $ki_accessible(all_17_0, all_17_0) = all_71_2 & ( ~
% 43.89/8.95  | | | |           (all_71_0 = 0) |  ~ (all_71_1 = 0) |  ~ (all_71_2 = 0))
% 43.89/8.95  | | | | 
% 43.89/8.95  | | | | ALPHA: (64) implies:
% 43.89/8.95  | | | |   (65)  $ki_accessible(all_17_0, all_17_0) = all_71_2
% 43.89/8.95  | | | |   (66)  combo(all_17_0, d, d) = all_71_1
% 43.89/8.95  | | | |   (67)  h(all_17_0, all_52_0) = all_71_0
% 43.89/8.95  | | | | 
% 43.89/8.95  | | | | BETA: splitting (61) gives:
% 43.89/8.95  | | | | 
% 43.89/8.95  | | | | Case 1:
% 43.89/8.95  | | | | | 
% 43.89/8.95  | | | | |   (68)  all_81_2 = 0 & open(all_50_1, d) = 0
% 43.89/8.95  | | | | | 
% 43.89/8.95  | | | | | ALPHA: (68) implies:
% 43.89/8.95  | | | | |   (69)  open(all_50_1, d) = 0
% 43.89/8.95  | | | | | 
% 43.89/8.95  | | | | | REF_CLOSE: (7), (28), (31), (69) are inconsistent by sub-proof #4.
% 43.89/8.95  | | | | | 
% 43.89/8.95  | | | | Case 2:
% 43.89/8.95  | | | | | 
% 43.89/8.95  | | | | |   (70)  h(all_17_0, all_78_0) = all_81_0 & combo(all_17_0, d,
% 43.89/8.95  | | | | |           all_52_0) = all_81_1 & $ki_accessible(all_17_0, all_17_0) =
% 43.89/8.95  | | | | |         all_81_2 & ( ~ (all_81_0 = 0) |  ~ (all_81_1 = 0) |  ~
% 43.89/8.95  | | | | |           (all_81_2 = 0))
% 43.89/8.95  | | | | | 
% 43.89/8.95  | | | | | ALPHA: (70) implies:
% 43.89/8.95  | | | | |   (71)  $ki_accessible(all_17_0, all_17_0) = all_81_2
% 43.89/8.95  | | | | |   (72)  combo(all_17_0, d, all_52_0) = all_81_1
% 43.89/8.95  | | | | |   (73)  h(all_17_0, all_78_0) = all_81_0
% 43.89/8.95  | | | | | 
% 43.89/8.95  | | | | | BETA: splitting (58) gives:
% 43.89/8.95  | | | | | 
% 43.89/8.95  | | | | | Case 1:
% 43.89/8.95  | | | | | | 
% 43.89/8.95  | | | | | |   (74)  all_50_0 = 0
% 43.89/8.95  | | | | | | 
% 43.89/8.95  | | | | | | REDUCE: (28), (74) imply:
% 43.89/8.95  | | | | | |   (75)  $false
% 43.89/8.95  | | | | | | 
% 43.89/8.95  | | | | | | CLOSE: (75) is inconsistent.
% 43.89/8.95  | | | | | | 
% 43.89/8.95  | | | | | Case 2:
% 43.89/8.95  | | | | | | 
% 43.89/8.95  | | | | | |   (76)   ? [v0: int] :  ? [v1: any] :  ? [v2: any] : (( ~ (v0 = 0) &
% 43.89/8.95  | | | | | |             $ki_accessible(all_17_0, all_50_1) = v0) | (h(all_17_0,
% 43.89/8.95  | | | | | |               all_78_0) = v2 & combo(all_17_0, d, all_52_0) = v1 &
% 43.89/8.95  | | | | | |             $ki_accessible(all_17_0, all_17_0) = v0 & ( ~ (v2 = 0) |
% 43.89/8.95  | | | | | |                ~ (v1 = 0) |  ~ (v0 = 0))))
% 43.89/8.95  | | | | | | 
% 43.89/8.95  | | | | | | DELTA: instantiating (76) with fresh symbols all_102_0, all_102_1,
% 43.89/8.95  | | | | | |        all_102_2 gives:
% 43.89/8.96  | | | | | |   (77)  ( ~ (all_102_2 = 0) & $ki_accessible(all_17_0, all_50_1) =
% 43.89/8.96  | | | | | |           all_102_2) | (h(all_17_0, all_78_0) = all_102_0 &
% 43.89/8.96  | | | | | |           combo(all_17_0, d, all_52_0) = all_102_1 &
% 43.89/8.96  | | | | | |           $ki_accessible(all_17_0, all_17_0) = all_102_2 & ( ~
% 43.89/8.96  | | | | | |             (all_102_0 = 0) |  ~ (all_102_1 = 0) |  ~ (all_102_2 =
% 43.89/8.96  | | | | | |               0)))
% 43.89/8.96  | | | | | | 
% 43.89/8.96  | | | | | | BETA: splitting (59) gives:
% 43.89/8.96  | | | | | | 
% 43.89/8.96  | | | | | | Case 1:
% 43.89/8.96  | | | | | | | 
% 43.89/8.96  | | | | | | |   (78)  all_33_0 = 0
% 43.89/8.96  | | | | | | | 
% 43.89/8.96  | | | | | | | REDUCE: (24), (78) imply:
% 43.89/8.96  | | | | | | |   (79)  $false
% 43.89/8.96  | | | | | | | 
% 43.89/8.96  | | | | | | | CLOSE: (79) is inconsistent.
% 43.89/8.96  | | | | | | | 
% 43.89/8.96  | | | | | | Case 2:
% 43.89/8.96  | | | | | | | 
% 43.89/8.96  | | | | | | |   (80)   ? [v0: int] :  ? [v1: any] :  ? [v2: any] : (( ~ (v0 = 0)
% 43.89/8.96  | | | | | | |             & $ki_accessible(all_17_0, all_17_0) = v0) |
% 43.89/8.96  | | | | | | |           (h(all_17_0, all_78_0) = v2 & combo(all_17_0, d,
% 43.89/8.96  | | | | | | |               all_52_0) = v1 & $ki_accessible(all_17_0, all_17_0)
% 43.89/8.96  | | | | | | |             = v0 & ( ~ (v2 = 0) |  ~ (v1 = 0) |  ~ (v0 = 0))))
% 43.89/8.96  | | | | | | | 
% 43.89/8.96  | | | | | | | DELTA: instantiating (80) with fresh symbols all_106_0, all_106_1,
% 43.89/8.96  | | | | | | |        all_106_2 gives:
% 43.89/8.96  | | | | | | |   (81)  ( ~ (all_106_2 = 0) & $ki_accessible(all_17_0, all_17_0) =
% 43.89/8.96  | | | | | | |           all_106_2) | (h(all_17_0, all_78_0) = all_106_0 &
% 43.89/8.96  | | | | | | |           combo(all_17_0, d, all_52_0) = all_106_1 &
% 43.89/8.96  | | | | | | |           $ki_accessible(all_17_0, all_17_0) = all_106_2 & ( ~
% 43.89/8.96  | | | | | | |             (all_106_0 = 0) |  ~ (all_106_1 = 0) |  ~ (all_106_2 =
% 43.89/8.96  | | | | | | |               0)))
% 43.89/8.96  | | | | | | | 
% 43.89/8.96  | | | | | | | BETA: splitting (77) gives:
% 43.89/8.96  | | | | | | | 
% 43.89/8.96  | | | | | | | Case 1:
% 43.89/8.96  | | | | | | | | 
% 43.89/8.96  | | | | | | | |   (82)   ~ (all_102_2 = 0) & $ki_accessible(all_17_0, all_50_1)
% 43.89/8.96  | | | | | | | |         = all_102_2
% 43.89/8.96  | | | | | | | | 
% 43.89/8.96  | | | | | | | | ALPHA: (82) implies:
% 43.89/8.96  | | | | | | | |   (83)   ~ (all_102_2 = 0)
% 43.89/8.96  | | | | | | | |   (84)  $ki_accessible(all_17_0, all_50_1) = all_102_2
% 43.89/8.96  | | | | | | | | 
% 43.89/8.96  | | | | | | | | GROUND_INST: instantiating (6) with 0, all_102_2, all_50_1,
% 43.89/8.96  | | | | | | | |              all_17_0, simplifying with (30), (84) gives:
% 43.89/8.96  | | | | | | | |   (85)  all_102_2 = 0
% 43.89/8.96  | | | | | | | | 
% 43.89/8.96  | | | | | | | | REDUCE: (83), (85) imply:
% 43.89/8.96  | | | | | | | |   (86)  $false
% 43.89/8.96  | | | | | | | | 
% 43.89/8.96  | | | | | | | | CLOSE: (86) is inconsistent.
% 43.89/8.96  | | | | | | | | 
% 43.89/8.96  | | | | | | | Case 2:
% 43.89/8.96  | | | | | | | | 
% 43.89/8.96  | | | | | | | |   (87)  h(all_17_0, all_78_0) = all_102_0 & combo(all_17_0, d,
% 43.89/8.96  | | | | | | | |           all_52_0) = all_102_1 & $ki_accessible(all_17_0,
% 43.89/8.96  | | | | | | | |           all_17_0) = all_102_2 & ( ~ (all_102_0 = 0) |  ~
% 43.89/8.96  | | | | | | | |           (all_102_1 = 0) |  ~ (all_102_2 = 0))
% 43.89/8.96  | | | | | | | | 
% 43.89/8.96  | | | | | | | | ALPHA: (87) implies:
% 43.89/8.96  | | | | | | | |   (88)  $ki_accessible(all_17_0, all_17_0) = all_102_2
% 43.89/8.96  | | | | | | | |   (89)  combo(all_17_0, d, all_52_0) = all_102_1
% 43.89/8.96  | | | | | | | |   (90)  h(all_17_0, all_78_0) = all_102_0
% 43.89/8.96  | | | | | | | | 
% 43.89/8.96  | | | | | | | | GROUND_INST: instantiating (6) with all_81_2, all_102_2,
% 43.89/8.96  | | | | | | | |              all_17_0, all_17_0, simplifying with (71), (88)
% 43.89/8.96  | | | | | | | |              gives:
% 43.89/8.96  | | | | | | | |   (91)  all_102_2 = all_81_2
% 43.89/8.96  | | | | | | | | 
% 43.89/8.96  | | | | | | | | GROUND_INST: instantiating (6) with all_71_2, all_102_2,
% 43.89/8.96  | | | | | | | |              all_17_0, all_17_0, simplifying with (65), (88)
% 43.89/8.96  | | | | | | | |              gives:
% 43.89/8.96  | | | | | | | |   (92)  all_102_2 = all_71_2
% 43.89/8.96  | | | | | | | | 
% 43.89/8.96  | | | | | | | | GROUND_INST: instantiating (9) with all_81_1, all_102_1,
% 43.89/8.96  | | | | | | | |              all_52_0, d, all_17_0, simplifying with (72), (89)
% 43.89/8.96  | | | | | | | |              gives:
% 43.89/8.96  | | | | | | | |   (93)  all_102_1 = all_81_1
% 43.89/8.96  | | | | | | | | 
% 43.89/8.96  | | | | | | | | GROUND_INST: instantiating (8) with all_81_0, all_102_0,
% 43.89/8.96  | | | | | | | |              all_78_0, all_17_0, simplifying with (73), (90)
% 43.89/8.96  | | | | | | | |              gives:
% 43.89/8.96  | | | | | | | |   (94)  all_102_0 = all_81_0
% 43.89/8.96  | | | | | | | | 
% 43.89/8.96  | | | | | | | | COMBINE_EQS: (91), (92) imply:
% 43.89/8.96  | | | | | | | |   (95)  all_81_2 = all_71_2
% 43.89/8.96  | | | | | | | | 
% 43.89/8.96  | | | | | | | | GROUND_INST: instantiating (mrel_reflexive) with all_17_0,
% 43.89/8.96  | | | | | | | |              all_71_2, simplifying with (11), (65) gives:
% 43.89/8.96  | | | | | | | |   (96)  all_71_2 = 0
% 43.89/8.96  | | | | | | | | 
% 43.89/8.96  | | | | | | | | GROUND_INST: instantiating (1) with all_17_0, d, all_72_0,
% 43.89/8.96  | | | | | | | |              simplifying with (4), (11), (12), (23), (48), (49)
% 43.89/8.96  | | | | | | | |              gives:
% 43.89/8.97  | | | | | | | |   (97)   ? [v0: $i] : ($ki_exists_in_world_$i(all_17_0, v0) = 0
% 43.89/8.97  | | | | | | | |           & $i(v0) &  ! [v1: $ki_world] :  ! [v2: int] :  ! [v3:
% 43.89/8.97  | | | | | | | |             $ki_world] :  ! [v4: int] : (v4 = 0 | v2 = 0 |  ~
% 43.89/8.97  | | | | | | | |             (closed(v3, d) = v4) |  ~ (combo(v1, d, all_72_0) =
% 43.89/8.97  | | | | | | | |               v2) |  ~ $ki_world(v3) |  ~ $ki_world(v1) |  ?
% 43.89/8.97  | | | | | | | |             [v5: int] :  ? [v6: any] :  ? [v7: any] : (( ~ (v5 =
% 43.89/8.97  | | | | | | | |                   0) & $ki_accessible(v1, v3) = v5) | (h(v1, o)
% 43.89/8.97  | | | | | | | |                 = v7 & closed(v1, d) = v6 &
% 43.89/8.97  | | | | | | | |                 $ki_accessible(all_17_0, v1) = v5 & ( ~ (v7 = 0)
% 43.89/8.97  | | | | | | | |                   |  ~ (v6 = 0) |  ~ (v5 = 0))))) &  ! [v1:
% 43.89/8.97  | | | | | | | |             $ki_world] :  ! [v2: $ki_world] :  ! [v3: int] : (v3
% 43.89/8.97  | | | | | | | |             = 0 |  ~ (h(v1, v0) = 0) |  ~ (open(v2, d) = v3) | 
% 43.89/8.97  | | | | | | | |             ~ $ki_world(v2) |  ~ $ki_world(v1) |  ? [v4: int] : 
% 43.89/8.97  | | | | | | | |             ? [v5: any] :  ? [v6: any] : (( ~ (v4 = 0) &
% 43.89/8.97  | | | | | | | |                 $ki_accessible(v1, v2) = v4) | (closed(v1, d) =
% 43.89/8.97  | | | | | | | |                 v5 & combo(v1, d, all_72_0) = v6 &
% 43.89/8.97  | | | | | | | |                 $ki_accessible(all_17_0, v1) = v4 & ( ~ (v6 = 0)
% 43.89/8.97  | | | | | | | |                   |  ~ (v5 = 0) |  ~ (v4 = 0))))) &  ! [v1:
% 43.89/8.97  | | | | | | | |             $ki_world] :  ! [v2: $ki_world] :  ! [v3: int] : (v3
% 43.89/8.97  | | | | | | | |             = 0 |  ~ (h(v1, o) = 0) |  ~ (closed(v2, d) = v3) | 
% 43.89/8.97  | | | | | | | |             ~ $ki_world(v2) |  ~ $ki_world(v1) |  ? [v4: int] : 
% 43.89/8.97  | | | | | | | |             ? [v5: any] :  ? [v6: any] : (( ~ (v4 = 0) &
% 43.89/8.97  | | | | | | | |                 $ki_accessible(v1, v2) = v4) | (closed(v1, d) =
% 43.89/8.97  | | | | | | | |                 v5 & combo(v1, d, all_72_0) = v6 &
% 43.89/8.97  | | | | | | | |                 $ki_accessible(all_17_0, v1) = v4 & ( ~ (v5 = 0)
% 43.89/8.97  | | | | | | | |                   |  ~ (v4 = 0) | v6 = 0)))) &  ! [v1:
% 43.89/8.97  | | | | | | | |             $ki_world] :  ! [v2: $ki_world] :  ! [v3: int] : (v3
% 43.89/8.97  | | | | | | | |             = 0 |  ~ (closed(v2, d) = v3) |  ~ (closed(v1, d) =
% 43.89/8.97  | | | | | | | |               0) |  ~ $ki_world(v2) |  ~ $ki_world(v1) |  ? [v4:
% 43.89/8.97  | | | | | | | |               int] :  ? [v5: any] :  ? [v6: any] : (( ~ (v4 = 0)
% 43.89/8.97  | | | | | | | |                 & $ki_accessible(v1, v2) = v4) | (h(v1, o) = v6
% 43.89/8.97  | | | | | | | |                 & combo(v1, d, all_72_0) = v5 &
% 43.89/8.97  | | | | | | | |                 $ki_accessible(all_17_0, v1) = v4 & ( ~ (v6 = 0)
% 43.89/8.97  | | | | | | | |                   |  ~ (v4 = 0) | v5 = 0)))) &  ! [v1:
% 43.89/8.97  | | | | | | | |             $ki_world] :  ! [v2: $ki_world] :  ! [v3: int] : (v3
% 43.89/8.97  | | | | | | | |             = 0 |  ~ (closed(v2, d) = v3) |  ~
% 43.89/8.97  | | | | | | | |             ($ki_accessible(all_17_0, v1) = 0) |  ~
% 43.89/8.97  | | | | | | | |             $ki_world(v2) |  ~ $ki_world(v1) |  ? [v4: int] :  ?
% 43.89/8.97  | | | | | | | |             [v5: any] :  ? [v6: any] : (( ~ (v4 = 0) &
% 43.89/8.97  | | | | | | | |                 $ki_accessible(v1, v2) = v4) | (h(v1, o) = v6 &
% 43.89/8.97  | | | | | | | |                 closed(v1, d) = v4 & combo(v1, d, all_72_0) = v5
% 43.89/8.97  | | | | | | | |                 & ( ~ (v6 = 0) |  ~ (v4 = 0) | v5 = 0)))) &  !
% 43.89/8.97  | | | | | | | |           [v1: $ki_world] :  ! [v2: $ki_world] :  ! [v3: int] :
% 43.89/8.97  | | | | | | | |           (v3 = 0 |  ~ (closed(v1, d) = 0) |  ~ (open(v2, d) =
% 43.89/8.97  | | | | | | | |               v3) |  ~ $ki_world(v2) |  ~ $ki_world(v1) |  ?
% 43.89/8.97  | | | | | | | |             [v4: int] :  ? [v5: any] :  ? [v6: any] : (( ~ (v4 =
% 43.89/8.97  | | | | | | | |                   0) & $ki_accessible(v1, v2) = v4) | (h(v1, v0)
% 43.89/8.97  | | | | | | | |                 = v6 & combo(v1, d, all_72_0) = v5 &
% 43.89/8.97  | | | | | | | |                 $ki_accessible(all_17_0, v1) = v4 & ( ~ (v6 = 0)
% 43.89/8.97  | | | | | | | |                   |  ~ (v5 = 0) |  ~ (v4 = 0))))) &  ! [v1:
% 43.89/8.97  | | | | | | | |             $ki_world] :  ! [v2: $ki_world] :  ! [v3: int] : (v3
% 43.89/8.97  | | | | | | | |             = 0 |  ~ (combo(v1, d, all_72_0) = 0) |  ~ (open(v2,
% 43.89/8.97  | | | | | | | |                 d) = v3) |  ~ $ki_world(v2) |  ~ $ki_world(v1) |
% 43.89/8.97  | | | | | | | |              ? [v4: int] :  ? [v5: any] :  ? [v6: any] : (( ~
% 43.89/8.97  | | | | | | | |                 (v4 = 0) & $ki_accessible(v1, v2) = v4) | (h(v1,
% 43.89/8.97  | | | | | | | |                   v0) = v6 & closed(v1, d) = v5 &
% 43.89/8.97  | | | | | | | |                 $ki_accessible(all_17_0, v1) = v4 & ( ~ (v6 = 0)
% 43.89/8.97  | | | | | | | |                   |  ~ (v5 = 0) |  ~ (v4 = 0))))) &  ! [v1:
% 43.89/8.97  | | | | | | | |             $ki_world] :  ! [v2: $ki_world] :  ! [v3: int] : (v3
% 43.89/8.97  | | | | | | | |             = 0 |  ~ (open(v2, d) = v3) |  ~
% 43.89/8.97  | | | | | | | |             ($ki_accessible(all_17_0, v1) = 0) |  ~
% 43.89/8.97  | | | | | | | |             $ki_world(v2) |  ~ $ki_world(v1) |  ? [v4: int] :  ?
% 43.89/8.97  | | | | | | | |             [v5: any] :  ? [v6: any] : (( ~ (v4 = 0) &
% 43.89/8.97  | | | | | | | |                 $ki_accessible(v1, v2) = v4) | (h(v1, v0) = v6 &
% 43.89/8.97  | | | | | | | |                 closed(v1, d) = v4 & combo(v1, d, all_72_0) = v5
% 43.89/8.97  | | | | | | | |                 & ( ~ (v6 = 0) |  ~ (v5 = 0) |  ~ (v4 = 0))))) &
% 43.89/8.97  | | | | | | | |            ! [v1: $ki_world] :  ! [v2: int] :  ! [v3: $ki_world]
% 43.89/8.97  | | | | | | | |           : (v2 = 0 |  ~ (combo(v1, d, all_72_0) = v2) |  ~
% 43.89/8.97  | | | | | | | |             ($ki_accessible(v1, v3) = 0) |  ~ $ki_world(v3) |  ~
% 43.89/8.97  | | | | | | | |             $ki_world(v1) |  ? [v4: int] :  ? [v5: any] :  ?
% 43.89/8.97  | | | | | | | |             [v6: any] : ((v4 = 0 & closed(v3, d) = 0) | (h(v1,
% 43.89/8.97  | | | | | | | |                   o) = v6 & closed(v1, d) = v5 &
% 43.89/8.97  | | | | | | | |                 $ki_accessible(all_17_0, v1) = v4 & ( ~ (v6 = 0)
% 43.89/8.97  | | | | | | | |                   |  ~ (v5 = 0) |  ~ (v4 = 0))))) &  ! [v1:
% 43.89/8.97  | | | | | | | |             $ki_world] :  ! [v2: $ki_world] : ( ~ (h(v1, v0) =
% 43.89/8.97  | | | | | | | |               0) |  ~ ($ki_accessible(v1, v2) = 0) |  ~
% 43.89/8.97  | | | | | | | |             $ki_world(v2) |  ~ $ki_world(v1) |  ? [v3: int] :  ?
% 43.89/8.97  | | | | | | | |             [v4: any] :  ? [v5: any] : ((v3 = 0 & open(v2, d) =
% 43.89/8.97  | | | | | | | |                 0) | (closed(v1, d) = v4 & combo(v1, d,
% 43.89/8.97  | | | | | | | |                   all_72_0) = v5 & $ki_accessible(all_17_0, v1)
% 43.89/8.97  | | | | | | | |                 = v3 & ( ~ (v5 = 0) |  ~ (v4 = 0) |  ~ (v3 =
% 43.89/8.97  | | | | | | | |                     0))))) &  ! [v1: $ki_world] :  ! [v2:
% 43.89/8.97  | | | | | | | |             $ki_world] : ( ~ (h(v1, o) = 0) |  ~
% 43.89/8.97  | | | | | | | |             ($ki_accessible(v1, v2) = 0) |  ~ $ki_world(v2) |  ~
% 43.89/8.97  | | | | | | | |             $ki_world(v1) |  ? [v3: int] :  ? [v4: any] :  ?
% 43.89/8.97  | | | | | | | |             [v5: any] : ((v3 = 0 & closed(v2, d) = 0) |
% 43.89/8.97  | | | | | | | |               (closed(v1, d) = v4 & combo(v1, d, all_72_0) = v5
% 43.89/8.97  | | | | | | | |                 & $ki_accessible(all_17_0, v1) = v3 & ( ~ (v4 =
% 43.89/8.97  | | | | | | | |                     0) |  ~ (v3 = 0) | v5 = 0)))) &  ! [v1:
% 43.89/8.97  | | | | | | | |             $ki_world] :  ! [v2: $ki_world] : ( ~ (closed(v1, d)
% 43.89/8.97  | | | | | | | |               = 0) |  ~ ($ki_accessible(v1, v2) = 0) |  ~
% 43.89/8.97  | | | | | | | |             $ki_world(v2) |  ~ $ki_world(v1) |  ? [v3: int] :  ?
% 43.89/8.97  | | | | | | | |             [v4: any] :  ? [v5: any] : ((v3 = 0 & closed(v2, d)
% 43.89/8.97  | | | | | | | |                 = 0) | (h(v1, o) = v5 & combo(v1, d, all_72_0) =
% 43.89/8.97  | | | | | | | |                 v4 & $ki_accessible(all_17_0, v1) = v3 & ( ~ (v5
% 43.89/8.97  | | | | | | | |                     = 0) |  ~ (v3 = 0) | v4 = 0)))) &  ! [v1:
% 43.89/8.97  | | | | | | | |             $ki_world] :  ! [v2: $ki_world] : ( ~ (closed(v1, d)
% 43.89/8.97  | | | | | | | |               = 0) |  ~ ($ki_accessible(v1, v2) = 0) |  ~
% 43.89/8.97  | | | | | | | |             $ki_world(v2) |  ~ $ki_world(v1) |  ? [v3: int] :  ?
% 43.89/8.97  | | | | | | | |             [v4: any] :  ? [v5: any] : ((v3 = 0 & open(v2, d) =
% 43.89/8.97  | | | | | | | |                 0) | (h(v1, v0) = v5 & combo(v1, d, all_72_0) =
% 43.89/8.97  | | | | | | | |                 v4 & $ki_accessible(all_17_0, v1) = v3 & ( ~ (v5
% 43.89/8.97  | | | | | | | |                     = 0) |  ~ (v4 = 0) |  ~ (v3 = 0))))) &  !
% 43.89/8.97  | | | | | | | |           [v1: $ki_world] :  ! [v2: $ki_world] : ( ~ (combo(v1,
% 43.89/8.97  | | | | | | | |                 d, all_72_0) = 0) |  ~ ($ki_accessible(v1, v2) =
% 43.89/8.97  | | | | | | | |               0) |  ~ $ki_world(v2) |  ~ $ki_world(v1) |  ? [v3:
% 43.89/8.97  | | | | | | | |               int] :  ? [v4: any] :  ? [v5: any] : ((v3 = 0 &
% 43.89/8.97  | | | | | | | |                 open(v2, d) = 0) | (h(v1, v0) = v5 & closed(v1,
% 43.89/8.97  | | | | | | | |                   d) = v4 & $ki_accessible(all_17_0, v1) = v3 &
% 43.89/8.97  | | | | | | | |                 ( ~ (v5 = 0) |  ~ (v4 = 0) |  ~ (v3 = 0))))) & 
% 43.89/8.97  | | | | | | | |           ! [v1: $ki_world] :  ! [v2: $ki_world] : ( ~
% 43.89/8.97  | | | | | | | |             ($ki_accessible(v1, v2) = 0) |  ~
% 43.89/8.97  | | | | | | | |             ($ki_accessible(all_17_0, v1) = 0) |  ~
% 43.89/8.97  | | | | | | | |             $ki_world(v2) |  ~ $ki_world(v1) |  ? [v3: int] :  ?
% 43.89/8.97  | | | | | | | |             [v4: any] :  ? [v5: any] : ((v3 = 0 & closed(v2, d)
% 43.89/8.97  | | | | | | | |                 = 0) | (h(v1, o) = v5 & closed(v1, d) = v3 &
% 43.89/8.97  | | | | | | | |                 combo(v1, d, all_72_0) = v4 & ( ~ (v5 = 0) |  ~
% 43.89/8.97  | | | | | | | |                   (v3 = 0) | v4 = 0)))) &  ! [v1: $ki_world] : 
% 43.89/8.97  | | | | | | | |           ! [v2: $ki_world] : ( ~ ($ki_accessible(v1, v2) = 0) |
% 43.89/8.97  | | | | | | | |              ~ ($ki_accessible(all_17_0, v1) = 0) |  ~
% 43.89/8.97  | | | | | | | |             $ki_world(v2) |  ~ $ki_world(v1) |  ? [v3: int] :  ?
% 43.89/8.97  | | | | | | | |             [v4: any] :  ? [v5: any] : ((v3 = 0 & open(v2, d) =
% 43.89/8.97  | | | | | | | |                 0) | (h(v1, v0) = v5 & closed(v1, d) = v3 &
% 43.89/8.97  | | | | | | | |                 combo(v1, d, all_72_0) = v4 & ( ~ (v5 = 0) |  ~
% 43.89/8.97  | | | | | | | |                   (v4 = 0) |  ~ (v3 = 0))))))
% 43.89/8.97  | | | | | | | | 
% 43.89/8.97  | | | | | | | | GROUND_INST: instantiating (1) with all_17_0, d, all_75_0,
% 43.89/8.97  | | | | | | | |              simplifying with (4), (11), (12), (23), (51), (52)
% 43.89/8.97  | | | | | | | |              gives:
% 43.89/8.98  | | | | | | | |   (98)   ? [v0: $i] : ($ki_exists_in_world_$i(all_17_0, v0) = 0
% 43.89/8.98  | | | | | | | |           & $i(v0) &  ! [v1: $ki_world] :  ! [v2: int] :  ! [v3:
% 43.89/8.98  | | | | | | | |             $ki_world] :  ! [v4: int] : (v4 = 0 | v2 = 0 |  ~
% 43.89/8.98  | | | | | | | |             (closed(v3, d) = v4) |  ~ (combo(v1, d, all_75_0) =
% 43.89/8.98  | | | | | | | |               v2) |  ~ $ki_world(v3) |  ~ $ki_world(v1) |  ?
% 43.89/8.98  | | | | | | | |             [v5: int] :  ? [v6: any] :  ? [v7: any] : (( ~ (v5 =
% 43.89/8.98  | | | | | | | |                   0) & $ki_accessible(v1, v3) = v5) | (h(v1, o)
% 43.89/8.98  | | | | | | | |                 = v7 & closed(v1, d) = v6 &
% 43.89/8.98  | | | | | | | |                 $ki_accessible(all_17_0, v1) = v5 & ( ~ (v7 = 0)
% 43.89/8.98  | | | | | | | |                   |  ~ (v6 = 0) |  ~ (v5 = 0))))) &  ! [v1:
% 43.89/8.98  | | | | | | | |             $ki_world] :  ! [v2: $ki_world] :  ! [v3: int] : (v3
% 43.89/8.98  | | | | | | | |             = 0 |  ~ (h(v1, v0) = 0) |  ~ (open(v2, d) = v3) | 
% 43.89/8.98  | | | | | | | |             ~ $ki_world(v2) |  ~ $ki_world(v1) |  ? [v4: int] : 
% 43.89/8.98  | | | | | | | |             ? [v5: any] :  ? [v6: any] : (( ~ (v4 = 0) &
% 43.89/8.98  | | | | | | | |                 $ki_accessible(v1, v2) = v4) | (closed(v1, d) =
% 43.89/8.98  | | | | | | | |                 v5 & combo(v1, d, all_75_0) = v6 &
% 43.89/8.98  | | | | | | | |                 $ki_accessible(all_17_0, v1) = v4 & ( ~ (v6 = 0)
% 43.89/8.98  | | | | | | | |                   |  ~ (v5 = 0) |  ~ (v4 = 0))))) &  ! [v1:
% 43.89/8.98  | | | | | | | |             $ki_world] :  ! [v2: $ki_world] :  ! [v3: int] : (v3
% 43.89/8.98  | | | | | | | |             = 0 |  ~ (h(v1, o) = 0) |  ~ (closed(v2, d) = v3) | 
% 43.89/8.98  | | | | | | | |             ~ $ki_world(v2) |  ~ $ki_world(v1) |  ? [v4: int] : 
% 43.89/8.98  | | | | | | | |             ? [v5: any] :  ? [v6: any] : (( ~ (v4 = 0) &
% 43.89/8.98  | | | | | | | |                 $ki_accessible(v1, v2) = v4) | (closed(v1, d) =
% 43.89/8.98  | | | | | | | |                 v5 & combo(v1, d, all_75_0) = v6 &
% 43.89/8.98  | | | | | | | |                 $ki_accessible(all_17_0, v1) = v4 & ( ~ (v5 = 0)
% 43.89/8.98  | | | | | | | |                   |  ~ (v4 = 0) | v6 = 0)))) &  ! [v1:
% 43.89/8.98  | | | | | | | |             $ki_world] :  ! [v2: $ki_world] :  ! [v3: int] : (v3
% 43.89/8.98  | | | | | | | |             = 0 |  ~ (closed(v2, d) = v3) |  ~ (closed(v1, d) =
% 43.89/8.98  | | | | | | | |               0) |  ~ $ki_world(v2) |  ~ $ki_world(v1) |  ? [v4:
% 43.89/8.98  | | | | | | | |               int] :  ? [v5: any] :  ? [v6: any] : (( ~ (v4 = 0)
% 43.89/8.98  | | | | | | | |                 & $ki_accessible(v1, v2) = v4) | (h(v1, o) = v6
% 43.89/8.98  | | | | | | | |                 & combo(v1, d, all_75_0) = v5 &
% 43.89/8.98  | | | | | | | |                 $ki_accessible(all_17_0, v1) = v4 & ( ~ (v6 = 0)
% 43.89/8.98  | | | | | | | |                   |  ~ (v4 = 0) | v5 = 0)))) &  ! [v1:
% 43.89/8.98  | | | | | | | |             $ki_world] :  ! [v2: $ki_world] :  ! [v3: int] : (v3
% 43.89/8.98  | | | | | | | |             = 0 |  ~ (closed(v2, d) = v3) |  ~
% 43.89/8.98  | | | | | | | |             ($ki_accessible(all_17_0, v1) = 0) |  ~
% 43.89/8.98  | | | | | | | |             $ki_world(v2) |  ~ $ki_world(v1) |  ? [v4: int] :  ?
% 43.89/8.98  | | | | | | | |             [v5: any] :  ? [v6: any] : (( ~ (v4 = 0) &
% 43.89/8.98  | | | | | | | |                 $ki_accessible(v1, v2) = v4) | (h(v1, o) = v6 &
% 43.89/8.98  | | | | | | | |                 closed(v1, d) = v4 & combo(v1, d, all_75_0) = v5
% 43.89/8.98  | | | | | | | |                 & ( ~ (v6 = 0) |  ~ (v4 = 0) | v5 = 0)))) &  !
% 43.89/8.98  | | | | | | | |           [v1: $ki_world] :  ! [v2: $ki_world] :  ! [v3: int] :
% 43.89/8.98  | | | | | | | |           (v3 = 0 |  ~ (closed(v1, d) = 0) |  ~ (open(v2, d) =
% 43.89/8.98  | | | | | | | |               v3) |  ~ $ki_world(v2) |  ~ $ki_world(v1) |  ?
% 43.89/8.98  | | | | | | | |             [v4: int] :  ? [v5: any] :  ? [v6: any] : (( ~ (v4 =
% 43.89/8.98  | | | | | | | |                   0) & $ki_accessible(v1, v2) = v4) | (h(v1, v0)
% 43.89/8.98  | | | | | | | |                 = v6 & combo(v1, d, all_75_0) = v5 &
% 43.89/8.98  | | | | | | | |                 $ki_accessible(all_17_0, v1) = v4 & ( ~ (v6 = 0)
% 43.89/8.98  | | | | | | | |                   |  ~ (v5 = 0) |  ~ (v4 = 0))))) &  ! [v1:
% 43.89/8.98  | | | | | | | |             $ki_world] :  ! [v2: $ki_world] :  ! [v3: int] : (v3
% 43.89/8.98  | | | | | | | |             = 0 |  ~ (combo(v1, d, all_75_0) = 0) |  ~ (open(v2,
% 43.89/8.98  | | | | | | | |                 d) = v3) |  ~ $ki_world(v2) |  ~ $ki_world(v1) |
% 43.89/8.98  | | | | | | | |              ? [v4: int] :  ? [v5: any] :  ? [v6: any] : (( ~
% 43.89/8.98  | | | | | | | |                 (v4 = 0) & $ki_accessible(v1, v2) = v4) | (h(v1,
% 43.89/8.98  | | | | | | | |                   v0) = v6 & closed(v1, d) = v5 &
% 43.89/8.98  | | | | | | | |                 $ki_accessible(all_17_0, v1) = v4 & ( ~ (v6 = 0)
% 43.89/8.98  | | | | | | | |                   |  ~ (v5 = 0) |  ~ (v4 = 0))))) &  ! [v1:
% 43.89/8.98  | | | | | | | |             $ki_world] :  ! [v2: $ki_world] :  ! [v3: int] : (v3
% 43.89/8.98  | | | | | | | |             = 0 |  ~ (open(v2, d) = v3) |  ~
% 43.89/8.98  | | | | | | | |             ($ki_accessible(all_17_0, v1) = 0) |  ~
% 43.89/8.98  | | | | | | | |             $ki_world(v2) |  ~ $ki_world(v1) |  ? [v4: int] :  ?
% 43.89/8.98  | | | | | | | |             [v5: any] :  ? [v6: any] : (( ~ (v4 = 0) &
% 43.89/8.98  | | | | | | | |                 $ki_accessible(v1, v2) = v4) | (h(v1, v0) = v6 &
% 43.89/8.98  | | | | | | | |                 closed(v1, d) = v4 & combo(v1, d, all_75_0) = v5
% 43.89/8.98  | | | | | | | |                 & ( ~ (v6 = 0) |  ~ (v5 = 0) |  ~ (v4 = 0))))) &
% 43.89/8.98  | | | | | | | |            ! [v1: $ki_world] :  ! [v2: int] :  ! [v3: $ki_world]
% 43.89/8.98  | | | | | | | |           : (v2 = 0 |  ~ (combo(v1, d, all_75_0) = v2) |  ~
% 43.89/8.98  | | | | | | | |             ($ki_accessible(v1, v3) = 0) |  ~ $ki_world(v3) |  ~
% 43.89/8.98  | | | | | | | |             $ki_world(v1) |  ? [v4: int] :  ? [v5: any] :  ?
% 43.89/8.98  | | | | | | | |             [v6: any] : ((v4 = 0 & closed(v3, d) = 0) | (h(v1,
% 43.89/8.98  | | | | | | | |                   o) = v6 & closed(v1, d) = v5 &
% 43.89/8.98  | | | | | | | |                 $ki_accessible(all_17_0, v1) = v4 & ( ~ (v6 = 0)
% 43.89/8.98  | | | | | | | |                   |  ~ (v5 = 0) |  ~ (v4 = 0))))) &  ! [v1:
% 43.89/8.98  | | | | | | | |             $ki_world] :  ! [v2: $ki_world] : ( ~ (h(v1, v0) =
% 43.89/8.98  | | | | | | | |               0) |  ~ ($ki_accessible(v1, v2) = 0) |  ~
% 43.89/8.98  | | | | | | | |             $ki_world(v2) |  ~ $ki_world(v1) |  ? [v3: int] :  ?
% 43.89/8.98  | | | | | | | |             [v4: any] :  ? [v5: any] : ((v3 = 0 & open(v2, d) =
% 43.89/8.98  | | | | | | | |                 0) | (closed(v1, d) = v4 & combo(v1, d,
% 43.89/8.98  | | | | | | | |                   all_75_0) = v5 & $ki_accessible(all_17_0, v1)
% 43.89/8.98  | | | | | | | |                 = v3 & ( ~ (v5 = 0) |  ~ (v4 = 0) |  ~ (v3 =
% 43.89/8.98  | | | | | | | |                     0))))) &  ! [v1: $ki_world] :  ! [v2:
% 43.89/8.98  | | | | | | | |             $ki_world] : ( ~ (h(v1, o) = 0) |  ~
% 43.89/8.98  | | | | | | | |             ($ki_accessible(v1, v2) = 0) |  ~ $ki_world(v2) |  ~
% 43.89/8.98  | | | | | | | |             $ki_world(v1) |  ? [v3: int] :  ? [v4: any] :  ?
% 43.89/8.98  | | | | | | | |             [v5: any] : ((v3 = 0 & closed(v2, d) = 0) |
% 43.89/8.98  | | | | | | | |               (closed(v1, d) = v4 & combo(v1, d, all_75_0) = v5
% 43.89/8.98  | | | | | | | |                 & $ki_accessible(all_17_0, v1) = v3 & ( ~ (v4 =
% 43.89/8.98  | | | | | | | |                     0) |  ~ (v3 = 0) | v5 = 0)))) &  ! [v1:
% 43.89/8.98  | | | | | | | |             $ki_world] :  ! [v2: $ki_world] : ( ~ (closed(v1, d)
% 43.89/8.98  | | | | | | | |               = 0) |  ~ ($ki_accessible(v1, v2) = 0) |  ~
% 43.89/8.98  | | | | | | | |             $ki_world(v2) |  ~ $ki_world(v1) |  ? [v3: int] :  ?
% 43.89/8.98  | | | | | | | |             [v4: any] :  ? [v5: any] : ((v3 = 0 & closed(v2, d)
% 43.89/8.98  | | | | | | | |                 = 0) | (h(v1, o) = v5 & combo(v1, d, all_75_0) =
% 43.89/8.98  | | | | | | | |                 v4 & $ki_accessible(all_17_0, v1) = v3 & ( ~ (v5
% 43.89/8.98  | | | | | | | |                     = 0) |  ~ (v3 = 0) | v4 = 0)))) &  ! [v1:
% 43.89/8.98  | | | | | | | |             $ki_world] :  ! [v2: $ki_world] : ( ~ (closed(v1, d)
% 43.89/8.98  | | | | | | | |               = 0) |  ~ ($ki_accessible(v1, v2) = 0) |  ~
% 43.89/8.98  | | | | | | | |             $ki_world(v2) |  ~ $ki_world(v1) |  ? [v3: int] :  ?
% 43.89/8.98  | | | | | | | |             [v4: any] :  ? [v5: any] : ((v3 = 0 & open(v2, d) =
% 43.89/8.98  | | | | | | | |                 0) | (h(v1, v0) = v5 & combo(v1, d, all_75_0) =
% 43.89/8.98  | | | | | | | |                 v4 & $ki_accessible(all_17_0, v1) = v3 & ( ~ (v5
% 43.89/8.98  | | | | | | | |                     = 0) |  ~ (v4 = 0) |  ~ (v3 = 0))))) &  !
% 43.89/8.98  | | | | | | | |           [v1: $ki_world] :  ! [v2: $ki_world] : ( ~ (combo(v1,
% 43.89/8.98  | | | | | | | |                 d, all_75_0) = 0) |  ~ ($ki_accessible(v1, v2) =
% 43.89/8.98  | | | | | | | |               0) |  ~ $ki_world(v2) |  ~ $ki_world(v1) |  ? [v3:
% 43.89/8.98  | | | | | | | |               int] :  ? [v4: any] :  ? [v5: any] : ((v3 = 0 &
% 43.89/8.98  | | | | | | | |                 open(v2, d) = 0) | (h(v1, v0) = v5 & closed(v1,
% 43.89/8.98  | | | | | | | |                   d) = v4 & $ki_accessible(all_17_0, v1) = v3 &
% 43.89/8.98  | | | | | | | |                 ( ~ (v5 = 0) |  ~ (v4 = 0) |  ~ (v3 = 0))))) & 
% 43.89/8.98  | | | | | | | |           ! [v1: $ki_world] :  ! [v2: $ki_world] : ( ~
% 43.89/8.98  | | | | | | | |             ($ki_accessible(v1, v2) = 0) |  ~
% 43.89/8.98  | | | | | | | |             ($ki_accessible(all_17_0, v1) = 0) |  ~
% 43.89/8.98  | | | | | | | |             $ki_world(v2) |  ~ $ki_world(v1) |  ? [v3: int] :  ?
% 43.89/8.98  | | | | | | | |             [v4: any] :  ? [v5: any] : ((v3 = 0 & closed(v2, d)
% 43.89/8.98  | | | | | | | |                 = 0) | (h(v1, o) = v5 & closed(v1, d) = v3 &
% 43.89/8.98  | | | | | | | |                 combo(v1, d, all_75_0) = v4 & ( ~ (v5 = 0) |  ~
% 43.89/8.98  | | | | | | | |                   (v3 = 0) | v4 = 0)))) &  ! [v1: $ki_world] : 
% 43.89/8.98  | | | | | | | |           ! [v2: $ki_world] : ( ~ ($ki_accessible(v1, v2) = 0) |
% 43.89/8.98  | | | | | | | |              ~ ($ki_accessible(all_17_0, v1) = 0) |  ~
% 43.89/8.98  | | | | | | | |             $ki_world(v2) |  ~ $ki_world(v1) |  ? [v3: int] :  ?
% 43.89/8.98  | | | | | | | |             [v4: any] :  ? [v5: any] : ((v3 = 0 & open(v2, d) =
% 43.89/8.98  | | | | | | | |                 0) | (h(v1, v0) = v5 & closed(v1, d) = v3 &
% 43.89/8.98  | | | | | | | |                 combo(v1, d, all_75_0) = v4 & ( ~ (v5 = 0) |  ~
% 43.89/8.98  | | | | | | | |                   (v4 = 0) |  ~ (v3 = 0))))))
% 43.89/8.98  | | | | | | | | 
% 43.89/8.98  | | | | | | | | GROUND_INST: instantiating (1) with all_17_0, d, all_78_0,
% 43.89/8.98  | | | | | | | |              simplifying with (4), (11), (12), (23), (54), (55)
% 43.89/8.98  | | | | | | | |              gives:
% 43.89/8.99  | | | | | | | |   (99)   ? [v0: $i] : ($ki_exists_in_world_$i(all_17_0, v0) = 0
% 43.89/8.99  | | | | | | | |           & $i(v0) &  ! [v1: $ki_world] :  ! [v2: int] :  ! [v3:
% 43.89/8.99  | | | | | | | |             $ki_world] :  ! [v4: int] : (v4 = 0 | v2 = 0 |  ~
% 43.89/8.99  | | | | | | | |             (closed(v3, d) = v4) |  ~ (combo(v1, d, all_78_0) =
% 43.89/8.99  | | | | | | | |               v2) |  ~ $ki_world(v3) |  ~ $ki_world(v1) |  ?
% 43.89/8.99  | | | | | | | |             [v5: int] :  ? [v6: any] :  ? [v7: any] : (( ~ (v5 =
% 43.89/8.99  | | | | | | | |                   0) & $ki_accessible(v1, v3) = v5) | (h(v1, o)
% 43.89/8.99  | | | | | | | |                 = v7 & closed(v1, d) = v6 &
% 43.89/8.99  | | | | | | | |                 $ki_accessible(all_17_0, v1) = v5 & ( ~ (v7 = 0)
% 43.89/8.99  | | | | | | | |                   |  ~ (v6 = 0) |  ~ (v5 = 0))))) &  ! [v1:
% 43.89/8.99  | | | | | | | |             $ki_world] :  ! [v2: $ki_world] :  ! [v3: int] : (v3
% 43.89/8.99  | | | | | | | |             = 0 |  ~ (h(v1, v0) = 0) |  ~ (open(v2, d) = v3) | 
% 43.89/8.99  | | | | | | | |             ~ $ki_world(v2) |  ~ $ki_world(v1) |  ? [v4: int] : 
% 43.89/8.99  | | | | | | | |             ? [v5: any] :  ? [v6: any] : (( ~ (v4 = 0) &
% 43.89/8.99  | | | | | | | |                 $ki_accessible(v1, v2) = v4) | (closed(v1, d) =
% 43.89/8.99  | | | | | | | |                 v5 & combo(v1, d, all_78_0) = v6 &
% 43.89/8.99  | | | | | | | |                 $ki_accessible(all_17_0, v1) = v4 & ( ~ (v6 = 0)
% 43.89/8.99  | | | | | | | |                   |  ~ (v5 = 0) |  ~ (v4 = 0))))) &  ! [v1:
% 43.89/8.99  | | | | | | | |             $ki_world] :  ! [v2: $ki_world] :  ! [v3: int] : (v3
% 43.89/8.99  | | | | | | | |             = 0 |  ~ (h(v1, o) = 0) |  ~ (closed(v2, d) = v3) | 
% 43.89/8.99  | | | | | | | |             ~ $ki_world(v2) |  ~ $ki_world(v1) |  ? [v4: int] : 
% 43.89/8.99  | | | | | | | |             ? [v5: any] :  ? [v6: any] : (( ~ (v4 = 0) &
% 43.89/8.99  | | | | | | | |                 $ki_accessible(v1, v2) = v4) | (closed(v1, d) =
% 43.89/8.99  | | | | | | | |                 v5 & combo(v1, d, all_78_0) = v6 &
% 43.89/8.99  | | | | | | | |                 $ki_accessible(all_17_0, v1) = v4 & ( ~ (v5 = 0)
% 43.89/8.99  | | | | | | | |                   |  ~ (v4 = 0) | v6 = 0)))) &  ! [v1:
% 43.89/8.99  | | | | | | | |             $ki_world] :  ! [v2: $ki_world] :  ! [v3: int] : (v3
% 43.89/8.99  | | | | | | | |             = 0 |  ~ (closed(v2, d) = v3) |  ~ (closed(v1, d) =
% 43.89/8.99  | | | | | | | |               0) |  ~ $ki_world(v2) |  ~ $ki_world(v1) |  ? [v4:
% 43.89/8.99  | | | | | | | |               int] :  ? [v5: any] :  ? [v6: any] : (( ~ (v4 = 0)
% 43.89/8.99  | | | | | | | |                 & $ki_accessible(v1, v2) = v4) | (h(v1, o) = v6
% 43.89/8.99  | | | | | | | |                 & combo(v1, d, all_78_0) = v5 &
% 43.89/8.99  | | | | | | | |                 $ki_accessible(all_17_0, v1) = v4 & ( ~ (v6 = 0)
% 43.89/8.99  | | | | | | | |                   |  ~ (v4 = 0) | v5 = 0)))) &  ! [v1:
% 43.89/8.99  | | | | | | | |             $ki_world] :  ! [v2: $ki_world] :  ! [v3: int] : (v3
% 43.89/8.99  | | | | | | | |             = 0 |  ~ (closed(v2, d) = v3) |  ~
% 43.89/8.99  | | | | | | | |             ($ki_accessible(all_17_0, v1) = 0) |  ~
% 43.89/8.99  | | | | | | | |             $ki_world(v2) |  ~ $ki_world(v1) |  ? [v4: int] :  ?
% 43.89/8.99  | | | | | | | |             [v5: any] :  ? [v6: any] : (( ~ (v4 = 0) &
% 43.89/8.99  | | | | | | | |                 $ki_accessible(v1, v2) = v4) | (h(v1, o) = v6 &
% 43.89/8.99  | | | | | | | |                 closed(v1, d) = v4 & combo(v1, d, all_78_0) = v5
% 43.89/8.99  | | | | | | | |                 & ( ~ (v6 = 0) |  ~ (v4 = 0) | v5 = 0)))) &  !
% 43.89/8.99  | | | | | | | |           [v1: $ki_world] :  ! [v2: $ki_world] :  ! [v3: int] :
% 43.89/8.99  | | | | | | | |           (v3 = 0 |  ~ (closed(v1, d) = 0) |  ~ (open(v2, d) =
% 43.89/8.99  | | | | | | | |               v3) |  ~ $ki_world(v2) |  ~ $ki_world(v1) |  ?
% 43.89/8.99  | | | | | | | |             [v4: int] :  ? [v5: any] :  ? [v6: any] : (( ~ (v4 =
% 43.89/8.99  | | | | | | | |                   0) & $ki_accessible(v1, v2) = v4) | (h(v1, v0)
% 43.89/8.99  | | | | | | | |                 = v6 & combo(v1, d, all_78_0) = v5 &
% 43.89/8.99  | | | | | | | |                 $ki_accessible(all_17_0, v1) = v4 & ( ~ (v6 = 0)
% 43.89/8.99  | | | | | | | |                   |  ~ (v5 = 0) |  ~ (v4 = 0))))) &  ! [v1:
% 43.89/8.99  | | | | | | | |             $ki_world] :  ! [v2: $ki_world] :  ! [v3: int] : (v3
% 43.89/8.99  | | | | | | | |             = 0 |  ~ (combo(v1, d, all_78_0) = 0) |  ~ (open(v2,
% 43.89/8.99  | | | | | | | |                 d) = v3) |  ~ $ki_world(v2) |  ~ $ki_world(v1) |
% 43.89/8.99  | | | | | | | |              ? [v4: int] :  ? [v5: any] :  ? [v6: any] : (( ~
% 43.89/8.99  | | | | | | | |                 (v4 = 0) & $ki_accessible(v1, v2) = v4) | (h(v1,
% 43.89/8.99  | | | | | | | |                   v0) = v6 & closed(v1, d) = v5 &
% 43.89/8.99  | | | | | | | |                 $ki_accessible(all_17_0, v1) = v4 & ( ~ (v6 = 0)
% 43.89/8.99  | | | | | | | |                   |  ~ (v5 = 0) |  ~ (v4 = 0))))) &  ! [v1:
% 43.89/8.99  | | | | | | | |             $ki_world] :  ! [v2: $ki_world] :  ! [v3: int] : (v3
% 43.89/8.99  | | | | | | | |             = 0 |  ~ (open(v2, d) = v3) |  ~
% 43.89/8.99  | | | | | | | |             ($ki_accessible(all_17_0, v1) = 0) |  ~
% 43.89/8.99  | | | | | | | |             $ki_world(v2) |  ~ $ki_world(v1) |  ? [v4: int] :  ?
% 43.89/8.99  | | | | | | | |             [v5: any] :  ? [v6: any] : (( ~ (v4 = 0) &
% 43.89/8.99  | | | | | | | |                 $ki_accessible(v1, v2) = v4) | (h(v1, v0) = v6 &
% 43.89/8.99  | | | | | | | |                 closed(v1, d) = v4 & combo(v1, d, all_78_0) = v5
% 43.89/8.99  | | | | | | | |                 & ( ~ (v6 = 0) |  ~ (v5 = 0) |  ~ (v4 = 0))))) &
% 43.89/8.99  | | | | | | | |            ! [v1: $ki_world] :  ! [v2: int] :  ! [v3: $ki_world]
% 43.89/8.99  | | | | | | | |           : (v2 = 0 |  ~ (combo(v1, d, all_78_0) = v2) |  ~
% 43.89/8.99  | | | | | | | |             ($ki_accessible(v1, v3) = 0) |  ~ $ki_world(v3) |  ~
% 43.89/8.99  | | | | | | | |             $ki_world(v1) |  ? [v4: int] :  ? [v5: any] :  ?
% 43.89/8.99  | | | | | | | |             [v6: any] : ((v4 = 0 & closed(v3, d) = 0) | (h(v1,
% 43.89/8.99  | | | | | | | |                   o) = v6 & closed(v1, d) = v5 &
% 43.89/8.99  | | | | | | | |                 $ki_accessible(all_17_0, v1) = v4 & ( ~ (v6 = 0)
% 43.89/8.99  | | | | | | | |                   |  ~ (v5 = 0) |  ~ (v4 = 0))))) &  ! [v1:
% 43.89/8.99  | | | | | | | |             $ki_world] :  ! [v2: $ki_world] : ( ~ (h(v1, v0) =
% 43.89/8.99  | | | | | | | |               0) |  ~ ($ki_accessible(v1, v2) = 0) |  ~
% 43.89/8.99  | | | | | | | |             $ki_world(v2) |  ~ $ki_world(v1) |  ? [v3: int] :  ?
% 43.89/8.99  | | | | | | | |             [v4: any] :  ? [v5: any] : ((v3 = 0 & open(v2, d) =
% 43.89/8.99  | | | | | | | |                 0) | (closed(v1, d) = v4 & combo(v1, d,
% 43.89/8.99  | | | | | | | |                   all_78_0) = v5 & $ki_accessible(all_17_0, v1)
% 43.89/8.99  | | | | | | | |                 = v3 & ( ~ (v5 = 0) |  ~ (v4 = 0) |  ~ (v3 =
% 43.89/8.99  | | | | | | | |                     0))))) &  ! [v1: $ki_world] :  ! [v2:
% 43.89/8.99  | | | | | | | |             $ki_world] : ( ~ (h(v1, o) = 0) |  ~
% 43.89/8.99  | | | | | | | |             ($ki_accessible(v1, v2) = 0) |  ~ $ki_world(v2) |  ~
% 43.89/8.99  | | | | | | | |             $ki_world(v1) |  ? [v3: int] :  ? [v4: any] :  ?
% 43.89/8.99  | | | | | | | |             [v5: any] : ((v3 = 0 & closed(v2, d) = 0) |
% 43.89/8.99  | | | | | | | |               (closed(v1, d) = v4 & combo(v1, d, all_78_0) = v5
% 43.89/8.99  | | | | | | | |                 & $ki_accessible(all_17_0, v1) = v3 & ( ~ (v4 =
% 43.89/8.99  | | | | | | | |                     0) |  ~ (v3 = 0) | v5 = 0)))) &  ! [v1:
% 43.89/8.99  | | | | | | | |             $ki_world] :  ! [v2: $ki_world] : ( ~ (closed(v1, d)
% 43.89/8.99  | | | | | | | |               = 0) |  ~ ($ki_accessible(v1, v2) = 0) |  ~
% 43.89/8.99  | | | | | | | |             $ki_world(v2) |  ~ $ki_world(v1) |  ? [v3: int] :  ?
% 43.89/8.99  | | | | | | | |             [v4: any] :  ? [v5: any] : ((v3 = 0 & closed(v2, d)
% 43.89/8.99  | | | | | | | |                 = 0) | (h(v1, o) = v5 & combo(v1, d, all_78_0) =
% 43.89/8.99  | | | | | | | |                 v4 & $ki_accessible(all_17_0, v1) = v3 & ( ~ (v5
% 43.89/8.99  | | | | | | | |                     = 0) |  ~ (v3 = 0) | v4 = 0)))) &  ! [v1:
% 43.89/8.99  | | | | | | | |             $ki_world] :  ! [v2: $ki_world] : ( ~ (closed(v1, d)
% 43.89/8.99  | | | | | | | |               = 0) |  ~ ($ki_accessible(v1, v2) = 0) |  ~
% 43.89/8.99  | | | | | | | |             $ki_world(v2) |  ~ $ki_world(v1) |  ? [v3: int] :  ?
% 43.89/8.99  | | | | | | | |             [v4: any] :  ? [v5: any] : ((v3 = 0 & open(v2, d) =
% 43.89/8.99  | | | | | | | |                 0) | (h(v1, v0) = v5 & combo(v1, d, all_78_0) =
% 43.89/8.99  | | | | | | | |                 v4 & $ki_accessible(all_17_0, v1) = v3 & ( ~ (v5
% 43.89/8.99  | | | | | | | |                     = 0) |  ~ (v4 = 0) |  ~ (v3 = 0))))) &  !
% 43.89/8.99  | | | | | | | |           [v1: $ki_world] :  ! [v2: $ki_world] : ( ~ (combo(v1,
% 43.89/8.99  | | | | | | | |                 d, all_78_0) = 0) |  ~ ($ki_accessible(v1, v2) =
% 43.89/8.99  | | | | | | | |               0) |  ~ $ki_world(v2) |  ~ $ki_world(v1) |  ? [v3:
% 43.89/8.99  | | | | | | | |               int] :  ? [v4: any] :  ? [v5: any] : ((v3 = 0 &
% 43.89/8.99  | | | | | | | |                 open(v2, d) = 0) | (h(v1, v0) = v5 & closed(v1,
% 43.89/8.99  | | | | | | | |                   d) = v4 & $ki_accessible(all_17_0, v1) = v3 &
% 43.89/8.99  | | | | | | | |                 ( ~ (v5 = 0) |  ~ (v4 = 0) |  ~ (v3 = 0))))) & 
% 43.89/8.99  | | | | | | | |           ! [v1: $ki_world] :  ! [v2: $ki_world] : ( ~
% 43.89/8.99  | | | | | | | |             ($ki_accessible(v1, v2) = 0) |  ~
% 43.89/8.99  | | | | | | | |             ($ki_accessible(all_17_0, v1) = 0) |  ~
% 43.89/8.99  | | | | | | | |             $ki_world(v2) |  ~ $ki_world(v1) |  ? [v3: int] :  ?
% 43.89/8.99  | | | | | | | |             [v4: any] :  ? [v5: any] : ((v3 = 0 & closed(v2, d)
% 43.89/8.99  | | | | | | | |                 = 0) | (h(v1, o) = v5 & closed(v1, d) = v3 &
% 43.89/8.99  | | | | | | | |                 combo(v1, d, all_78_0) = v4 & ( ~ (v5 = 0) |  ~
% 43.89/8.99  | | | | | | | |                   (v3 = 0) | v4 = 0)))) &  ! [v1: $ki_world] : 
% 43.89/8.99  | | | | | | | |           ! [v2: $ki_world] : ( ~ ($ki_accessible(v1, v2) = 0) |
% 43.89/8.99  | | | | | | | |              ~ ($ki_accessible(all_17_0, v1) = 0) |  ~
% 43.89/8.99  | | | | | | | |             $ki_world(v2) |  ~ $ki_world(v1) |  ? [v3: int] :  ?
% 43.89/8.99  | | | | | | | |             [v4: any] :  ? [v5: any] : ((v3 = 0 & open(v2, d) =
% 43.89/8.99  | | | | | | | |                 0) | (h(v1, v0) = v5 & closed(v1, d) = v3 &
% 43.89/8.99  | | | | | | | |                 combo(v1, d, all_78_0) = v4 & ( ~ (v5 = 0) |  ~
% 43.89/8.99  | | | | | | | |                   (v4 = 0) |  ~ (v3 = 0))))))
% 43.89/8.99  | | | | | | | | 
% 43.89/8.99  | | | | | | | | GROUND_INST: instantiating (14) with d, all_52_0, all_17_0,
% 43.89/8.99  | | | | | | | |              all_71_1, simplifying with (4), (11), (23), (33),
% 43.89/8.99  | | | | | | | |              (34), (66) gives:
% 43.89/8.99  | | | | | | | |   (100)   ? [v0: any] :  ? [v1: any] : (h(all_17_0, all_52_0) =
% 43.89/8.99  | | | | | | | |            v1 & $ki_accessible(all_17_0, all_17_0) = v0 & ( ~
% 43.89/8.99  | | | | | | | |              (v0 = 0) | (v1 = 0 & all_71_1 = 0)))
% 43.89/8.99  | | | | | | | | 
% 43.89/8.99  | | | | | | | | GROUND_INST: instantiating (14) with d, d, all_17_0, all_71_1,
% 43.89/8.99  | | | | | | | |              simplifying with (4), (11), (23), (66) gives:
% 43.89/8.99  | | | | | | | |   (101)   ? [v0: any] :  ? [v1: any] : (h(all_17_0, d) = v1 &
% 43.89/8.99  | | | | | | | |            $ki_accessible(all_17_0, all_17_0) = v0 & ( ~ (v0 =
% 43.89/8.99  | | | | | | | |                0) | (v1 = 0 & all_71_1 = 0)))
% 43.89/8.99  | | | | | | | | 
% 43.89/8.99  | | | | | | | | GROUND_INST: instantiating (14) with d, all_78_0, all_17_0,
% 43.89/8.99  | | | | | | | |              all_71_1, simplifying with (4), (11), (23), (54),
% 43.89/8.99  | | | | | | | |              (55), (66) gives:
% 43.89/8.99  | | | | | | | |   (102)   ? [v0: any] :  ? [v1: any] : (h(all_17_0, all_78_0) =
% 43.89/8.99  | | | | | | | |            v1 & $ki_accessible(all_17_0, all_17_0) = v0 & ( ~
% 43.89/8.99  | | | | | | | |              (v0 = 0) | (v1 = 0 & all_71_1 = 0)))
% 43.89/8.99  | | | | | | | | 
% 43.89/8.99  | | | | | | | | GROUND_INST: instantiating (14) with d, all_75_0, all_17_0,
% 43.89/8.99  | | | | | | | |              all_71_1, simplifying with (4), (11), (23), (51),
% 43.89/8.99  | | | | | | | |              (52), (66) gives:
% 43.89/9.00  | | | | | | | |   (103)   ? [v0: any] :  ? [v1: any] : (h(all_17_0, all_75_0) =
% 43.89/9.00  | | | | | | | |            v1 & $ki_accessible(all_17_0, all_17_0) = v0 & ( ~
% 43.89/9.00  | | | | | | | |              (v0 = 0) | (v1 = 0 & all_71_1 = 0)))
% 43.89/9.00  | | | | | | | | 
% 43.89/9.00  | | | | | | | | GROUND_INST: instantiating (14) with d, all_72_0, all_17_0,
% 43.89/9.00  | | | | | | | |              all_71_1, simplifying with (4), (11), (23), (48),
% 43.89/9.00  | | | | | | | |              (49), (66) gives:
% 43.89/9.00  | | | | | | | |   (104)   ? [v0: any] :  ? [v1: any] : (h(all_17_0, all_72_0) =
% 43.89/9.00  | | | | | | | |            v1 & $ki_accessible(all_17_0, all_17_0) = v0 & ( ~
% 43.89/9.00  | | | | | | | |              (v0 = 0) | (v1 = 0 & all_71_1 = 0)))
% 43.89/9.00  | | | | | | | | 
% 43.89/9.00  | | | | | | | | GROUND_INST: instantiating (14) with all_52_0, all_52_0,
% 43.89/9.00  | | | | | | | |              all_17_0, all_81_1, simplifying with (11), (33),
% 43.89/9.00  | | | | | | | |              (34), (72) gives:
% 43.89/9.00  | | | | | | | |   (105)   ? [v0: any] :  ? [v1: any] : (h(all_17_0, all_52_0) =
% 43.89/9.00  | | | | | | | |            v1 & $ki_accessible(all_17_0, all_17_0) = v0 & ( ~
% 43.89/9.00  | | | | | | | |              (v0 = 0) | (v1 = 0 & all_81_1 = 0)))
% 43.89/9.00  | | | | | | | | 
% 43.89/9.00  | | | | | | | | GROUND_INST: instantiating (14) with all_52_0, d, all_17_0,
% 43.89/9.00  | | | | | | | |              all_81_1, simplifying with (4), (11), (23), (33),
% 43.89/9.00  | | | | | | | |              (34), (72) gives:
% 43.89/9.00  | | | | | | | |   (106)   ? [v0: any] :  ? [v1: any] : (h(all_17_0, d) = v1 &
% 43.89/9.00  | | | | | | | |            $ki_accessible(all_17_0, all_17_0) = v0 & ( ~ (v0 =
% 43.89/9.00  | | | | | | | |                0) | (v1 = 0 & all_81_1 = 0)))
% 43.89/9.00  | | | | | | | | 
% 43.89/9.00  | | | | | | | | GROUND_INST: instantiating (14) with all_52_0, all_78_0,
% 43.89/9.00  | | | | | | | |              all_17_0, all_81_1, simplifying with (11), (33),
% 43.89/9.00  | | | | | | | |              (34), (54), (55), (72) gives:
% 43.89/9.00  | | | | | | | |   (107)   ? [v0: any] :  ? [v1: any] : (h(all_17_0, all_78_0) =
% 43.89/9.00  | | | | | | | |            v1 & $ki_accessible(all_17_0, all_17_0) = v0 & ( ~
% 43.89/9.00  | | | | | | | |              (v0 = 0) | (v1 = 0 & all_81_1 = 0)))
% 43.89/9.00  | | | | | | | | 
% 43.89/9.00  | | | | | | | | GROUND_INST: instantiating (14) with all_52_0, all_75_0,
% 43.89/9.00  | | | | | | | |              all_17_0, all_81_1, simplifying with (11), (33),
% 43.89/9.00  | | | | | | | |              (34), (51), (52), (72) gives:
% 43.89/9.00  | | | | | | | |   (108)   ? [v0: any] :  ? [v1: any] : (h(all_17_0, all_75_0) =
% 43.89/9.00  | | | | | | | |            v1 & $ki_accessible(all_17_0, all_17_0) = v0 & ( ~
% 43.89/9.00  | | | | | | | |              (v0 = 0) | (v1 = 0 & all_81_1 = 0)))
% 43.89/9.00  | | | | | | | | 
% 43.89/9.00  | | | | | | | | GROUND_INST: instantiating (14) with all_52_0, all_72_0,
% 43.89/9.00  | | | | | | | |              all_17_0, all_81_1, simplifying with (11), (33),
% 43.89/9.00  | | | | | | | |              (34), (48), (49), (72) gives:
% 43.89/9.00  | | | | | | | |   (109)   ? [v0: any] :  ? [v1: any] : (h(all_17_0, all_72_0) =
% 43.89/9.00  | | | | | | | |            v1 & $ki_accessible(all_17_0, all_17_0) = v0 & ( ~
% 43.89/9.00  | | | | | | | |              (v0 = 0) | (v1 = 0 & all_81_1 = 0)))
% 43.89/9.00  | | | | | | | | 
% 43.89/9.00  | | | | | | | | GROUND_INST: instantiating (15) with all_52_0, all_52_0,
% 43.89/9.00  | | | | | | | |              all_17_0, all_71_0, simplifying with (11), (33),
% 43.89/9.00  | | | | | | | |              (34), (67) gives:
% 43.89/9.00  | | | | | | | |   (110)   ? [v0: any] :  ? [v1: any] : (combo(all_17_0, d,
% 43.89/9.00  | | | | | | | |              all_52_0) = v1 & $ki_accessible(all_17_0, all_17_0)
% 43.89/9.00  | | | | | | | |            = v0 & ( ~ (v0 = 0) | (v1 = 0 & all_71_0 = 0)))
% 43.89/9.00  | | | | | | | | 
% 43.89/9.00  | | | | | | | | GROUND_INST: instantiating (15) with d, all_52_0, all_17_0,
% 43.89/9.00  | | | | | | | |              all_71_0, simplifying with (4), (11), (23), (33),
% 43.89/9.00  | | | | | | | |              (34), (67) gives:
% 43.89/9.00  | | | | | | | |   (111)   ? [v0: any] :  ? [v1: any] : (combo(all_17_0, d, d) =
% 43.89/9.00  | | | | | | | |            v1 & $ki_accessible(all_17_0, all_17_0) = v0 & ( ~
% 43.89/9.00  | | | | | | | |              (v0 = 0) | (v1 = 0 & all_71_0 = 0)))
% 43.89/9.00  | | | | | | | | 
% 43.89/9.00  | | | | | | | | GROUND_INST: instantiating (15) with all_78_0, all_52_0,
% 43.89/9.00  | | | | | | | |              all_17_0, all_71_0, simplifying with (11), (33),
% 43.89/9.00  | | | | | | | |              (34), (54), (55), (67) gives:
% 43.89/9.00  | | | | | | | |   (112)   ? [v0: any] :  ? [v1: any] : (combo(all_17_0, d,
% 43.89/9.00  | | | | | | | |              all_78_0) = v1 & $ki_accessible(all_17_0, all_17_0)
% 43.89/9.00  | | | | | | | |            = v0 & ( ~ (v0 = 0) | (v1 = 0 & all_71_0 = 0)))
% 43.89/9.00  | | | | | | | | 
% 43.89/9.00  | | | | | | | | GROUND_INST: instantiating (15) with all_75_0, all_52_0,
% 43.89/9.00  | | | | | | | |              all_17_0, all_71_0, simplifying with (11), (33),
% 43.89/9.00  | | | | | | | |              (34), (51), (52), (67) gives:
% 43.89/9.00  | | | | | | | |   (113)   ? [v0: any] :  ? [v1: any] : (combo(all_17_0, d,
% 43.89/9.00  | | | | | | | |              all_75_0) = v1 & $ki_accessible(all_17_0, all_17_0)
% 43.89/9.00  | | | | | | | |            = v0 & ( ~ (v0 = 0) | (v1 = 0 & all_71_0 = 0)))
% 43.89/9.00  | | | | | | | | 
% 43.89/9.00  | | | | | | | | GROUND_INST: instantiating (15) with all_72_0, all_52_0,
% 43.89/9.00  | | | | | | | |              all_17_0, all_71_0, simplifying with (11), (33),
% 43.89/9.00  | | | | | | | |              (34), (48), (49), (67) gives:
% 43.89/9.00  | | | | | | | |   (114)   ? [v0: any] :  ? [v1: any] : (combo(all_17_0, d,
% 43.89/9.00  | | | | | | | |              all_72_0) = v1 & $ki_accessible(all_17_0, all_17_0)
% 43.89/9.00  | | | | | | | |            = v0 & ( ~ (v0 = 0) | (v1 = 0 & all_71_0 = 0)))
% 43.89/9.00  | | | | | | | | 
% 43.89/9.00  | | | | | | | | GROUND_INST: instantiating (15) with all_52_0, all_78_0,
% 43.89/9.00  | | | | | | | |              all_17_0, all_81_0, simplifying with (11), (33),
% 43.89/9.00  | | | | | | | |              (34), (54), (55), (73) gives:
% 43.89/9.00  | | | | | | | |   (115)   ? [v0: any] :  ? [v1: any] : (combo(all_17_0, d,
% 43.89/9.00  | | | | | | | |              all_52_0) = v1 & $ki_accessible(all_17_0, all_17_0)
% 43.89/9.00  | | | | | | | |            = v0 & ( ~ (v0 = 0) | (v1 = 0 & all_81_0 = 0)))
% 43.89/9.00  | | | | | | | | 
% 43.89/9.00  | | | | | | | | GROUND_INST: instantiating (15) with d, all_78_0, all_17_0,
% 43.89/9.00  | | | | | | | |              all_81_0, simplifying with (4), (11), (23), (54),
% 43.89/9.00  | | | | | | | |              (55), (73) gives:
% 43.89/9.00  | | | | | | | |   (116)   ? [v0: any] :  ? [v1: any] : (combo(all_17_0, d, d) =
% 43.89/9.00  | | | | | | | |            v1 & $ki_accessible(all_17_0, all_17_0) = v0 & ( ~
% 43.89/9.00  | | | | | | | |              (v0 = 0) | (v1 = 0 & all_81_0 = 0)))
% 43.89/9.00  | | | | | | | | 
% 43.89/9.00  | | | | | | | | GROUND_INST: instantiating (15) with all_78_0, all_78_0,
% 43.89/9.00  | | | | | | | |              all_17_0, all_81_0, simplifying with (11), (54),
% 43.89/9.00  | | | | | | | |              (55), (73) gives:
% 43.89/9.00  | | | | | | | |   (117)   ? [v0: any] :  ? [v1: any] : (combo(all_17_0, d,
% 43.89/9.00  | | | | | | | |              all_78_0) = v1 & $ki_accessible(all_17_0, all_17_0)
% 43.89/9.00  | | | | | | | |            = v0 & ( ~ (v0 = 0) | (v1 = 0 & all_81_0 = 0)))
% 43.89/9.00  | | | | | | | | 
% 43.89/9.00  | | | | | | | | GROUND_INST: instantiating (15) with all_75_0, all_78_0,
% 43.89/9.00  | | | | | | | |              all_17_0, all_81_0, simplifying with (11), (51),
% 43.89/9.00  | | | | | | | |              (52), (54), (55), (73) gives:
% 43.89/9.00  | | | | | | | |   (118)   ? [v0: any] :  ? [v1: any] : (combo(all_17_0, d,
% 43.89/9.00  | | | | | | | |              all_75_0) = v1 & $ki_accessible(all_17_0, all_17_0)
% 43.89/9.00  | | | | | | | |            = v0 & ( ~ (v0 = 0) | (v1 = 0 & all_81_0 = 0)))
% 43.89/9.00  | | | | | | | | 
% 43.89/9.00  | | | | | | | | GROUND_INST: instantiating (15) with all_72_0, all_78_0,
% 43.89/9.00  | | | | | | | |              all_17_0, all_81_0, simplifying with (11), (48),
% 43.89/9.00  | | | | | | | |              (49), (54), (55), (73) gives:
% 43.89/9.00  | | | | | | | |   (119)   ? [v0: any] :  ? [v1: any] : (combo(all_17_0, d,
% 43.89/9.00  | | | | | | | |              all_72_0) = v1 & $ki_accessible(all_17_0, all_17_0)
% 43.89/9.00  | | | | | | | |            = v0 & ( ~ (v0 = 0) | (v1 = 0 & all_81_0 = 0)))
% 43.89/9.00  | | | | | | | | 
% 43.89/9.00  | | | | | | | | DELTA: instantiating (109) with fresh symbols all_152_0,
% 43.89/9.00  | | | | | | | |        all_152_1 gives:
% 43.89/9.01  | | | | | | | |   (120)  h(all_17_0, all_72_0) = all_152_0 &
% 43.89/9.01  | | | | | | | |          $ki_accessible(all_17_0, all_17_0) = all_152_1 & ( ~
% 43.89/9.01  | | | | | | | |            (all_152_1 = 0) | (all_152_0 = 0 & all_81_1 = 0))
% 43.89/9.01  | | | | | | | | 
% 43.89/9.01  | | | | | | | | ALPHA: (120) implies:
% 43.89/9.01  | | | | | | | |   (121)  $ki_accessible(all_17_0, all_17_0) = all_152_1
% 43.89/9.01  | | | | | | | | 
% 43.89/9.01  | | | | | | | | DELTA: instantiating (104) with fresh symbols all_154_0,
% 43.89/9.01  | | | | | | | |        all_154_1 gives:
% 43.89/9.01  | | | | | | | |   (122)  h(all_17_0, all_72_0) = all_154_0 &
% 43.89/9.01  | | | | | | | |          $ki_accessible(all_17_0, all_17_0) = all_154_1 & ( ~
% 43.89/9.01  | | | | | | | |            (all_154_1 = 0) | (all_154_0 = 0 & all_71_1 = 0))
% 43.89/9.01  | | | | | | | | 
% 43.89/9.01  | | | | | | | | ALPHA: (122) implies:
% 43.89/9.01  | | | | | | | |   (123)  $ki_accessible(all_17_0, all_17_0) = all_154_1
% 43.89/9.01  | | | | | | | | 
% 43.89/9.01  | | | | | | | | DELTA: instantiating (119) with fresh symbols all_156_0,
% 43.89/9.01  | | | | | | | |        all_156_1 gives:
% 43.89/9.01  | | | | | | | |   (124)  combo(all_17_0, d, all_72_0) = all_156_0 &
% 43.89/9.01  | | | | | | | |          $ki_accessible(all_17_0, all_17_0) = all_156_1 & ( ~
% 43.89/9.01  | | | | | | | |            (all_156_1 = 0) | (all_156_0 = 0 & all_81_0 = 0))
% 43.89/9.01  | | | | | | | | 
% 43.89/9.01  | | | | | | | | ALPHA: (124) implies:
% 43.89/9.01  | | | | | | | |   (125)  $ki_accessible(all_17_0, all_17_0) = all_156_1
% 43.89/9.01  | | | | | | | | 
% 43.89/9.01  | | | | | | | | DELTA: instantiating (118) with fresh symbols all_158_0,
% 43.89/9.01  | | | | | | | |        all_158_1 gives:
% 43.89/9.01  | | | | | | | |   (126)  combo(all_17_0, d, all_75_0) = all_158_0 &
% 43.89/9.01  | | | | | | | |          $ki_accessible(all_17_0, all_17_0) = all_158_1 & ( ~
% 43.89/9.01  | | | | | | | |            (all_158_1 = 0) | (all_158_0 = 0 & all_81_0 = 0))
% 43.89/9.01  | | | | | | | | 
% 43.89/9.01  | | | | | | | | ALPHA: (126) implies:
% 43.89/9.01  | | | | | | | |   (127)  $ki_accessible(all_17_0, all_17_0) = all_158_1
% 43.89/9.01  | | | | | | | | 
% 44.27/9.01  | | | | | | | | DELTA: instantiating (108) with fresh symbols all_160_0,
% 44.27/9.01  | | | | | | | |        all_160_1 gives:
% 44.27/9.01  | | | | | | | |   (128)  h(all_17_0, all_75_0) = all_160_0 &
% 44.27/9.01  | | | | | | | |          $ki_accessible(all_17_0, all_17_0) = all_160_1 & ( ~
% 44.27/9.01  | | | | | | | |            (all_160_1 = 0) | (all_160_0 = 0 & all_81_1 = 0))
% 44.27/9.01  | | | | | | | | 
% 44.27/9.01  | | | | | | | | ALPHA: (128) implies:
% 44.27/9.01  | | | | | | | |   (129)  $ki_accessible(all_17_0, all_17_0) = all_160_1
% 44.27/9.01  | | | | | | | | 
% 44.27/9.01  | | | | | | | | DELTA: instantiating (107) with fresh symbols all_162_0,
% 44.27/9.01  | | | | | | | |        all_162_1 gives:
% 44.27/9.01  | | | | | | | |   (130)  h(all_17_0, all_78_0) = all_162_0 &
% 44.27/9.01  | | | | | | | |          $ki_accessible(all_17_0, all_17_0) = all_162_1 & ( ~
% 44.27/9.01  | | | | | | | |            (all_162_1 = 0) | (all_162_0 = 0 & all_81_1 = 0))
% 44.27/9.01  | | | | | | | | 
% 44.27/9.01  | | | | | | | | ALPHA: (130) implies:
% 44.27/9.01  | | | | | | | |   (131)  $ki_accessible(all_17_0, all_17_0) = all_162_1
% 44.27/9.01  | | | | | | | | 
% 44.27/9.01  | | | | | | | | DELTA: instantiating (103) with fresh symbols all_164_0,
% 44.27/9.01  | | | | | | | |        all_164_1 gives:
% 44.27/9.01  | | | | | | | |   (132)  h(all_17_0, all_75_0) = all_164_0 &
% 44.27/9.01  | | | | | | | |          $ki_accessible(all_17_0, all_17_0) = all_164_1 & ( ~
% 44.27/9.01  | | | | | | | |            (all_164_1 = 0) | (all_164_0 = 0 & all_71_1 = 0))
% 44.27/9.01  | | | | | | | | 
% 44.27/9.01  | | | | | | | | ALPHA: (132) implies:
% 44.27/9.01  | | | | | | | |   (133)  $ki_accessible(all_17_0, all_17_0) = all_164_1
% 44.27/9.01  | | | | | | | |   (134)   ~ (all_164_1 = 0) | (all_164_0 = 0 & all_71_1 = 0)
% 44.27/9.01  | | | | | | | | 
% 44.27/9.01  | | | | | | | | DELTA: instantiating (113) with fresh symbols all_166_0,
% 44.27/9.01  | | | | | | | |        all_166_1 gives:
% 44.27/9.01  | | | | | | | |   (135)  combo(all_17_0, d, all_75_0) = all_166_0 &
% 44.27/9.01  | | | | | | | |          $ki_accessible(all_17_0, all_17_0) = all_166_1 & ( ~
% 44.27/9.01  | | | | | | | |            (all_166_1 = 0) | (all_166_0 = 0 & all_71_0 = 0))
% 44.27/9.01  | | | | | | | | 
% 44.27/9.01  | | | | | | | | ALPHA: (135) implies:
% 44.27/9.01  | | | | | | | |   (136)  $ki_accessible(all_17_0, all_17_0) = all_166_1
% 44.27/9.01  | | | | | | | | 
% 44.27/9.01  | | | | | | | | DELTA: instantiating (111) with fresh symbols all_168_0,
% 44.27/9.01  | | | | | | | |        all_168_1 gives:
% 44.27/9.01  | | | | | | | |   (137)  combo(all_17_0, d, d) = all_168_0 &
% 44.27/9.01  | | | | | | | |          $ki_accessible(all_17_0, all_17_0) = all_168_1 & ( ~
% 44.27/9.01  | | | | | | | |            (all_168_1 = 0) | (all_168_0 = 0 & all_71_0 = 0))
% 44.27/9.01  | | | | | | | | 
% 44.27/9.01  | | | | | | | | ALPHA: (137) implies:
% 44.27/9.01  | | | | | | | |   (138)  $ki_accessible(all_17_0, all_17_0) = all_168_1
% 44.27/9.01  | | | | | | | | 
% 44.27/9.01  | | | | | | | | DELTA: instantiating (110) with fresh symbols all_170_0,
% 44.27/9.01  | | | | | | | |        all_170_1 gives:
% 44.27/9.01  | | | | | | | |   (139)  combo(all_17_0, d, all_52_0) = all_170_0 &
% 44.27/9.01  | | | | | | | |          $ki_accessible(all_17_0, all_17_0) = all_170_1 & ( ~
% 44.27/9.01  | | | | | | | |            (all_170_1 = 0) | (all_170_0 = 0 & all_71_0 = 0))
% 44.27/9.01  | | | | | | | | 
% 44.27/9.01  | | | | | | | | ALPHA: (139) implies:
% 44.27/9.01  | | | | | | | |   (140)  $ki_accessible(all_17_0, all_17_0) = all_170_1
% 44.27/9.01  | | | | | | | | 
% 44.27/9.01  | | | | | | | | DELTA: instantiating (112) with fresh symbols all_172_0,
% 44.27/9.01  | | | | | | | |        all_172_1 gives:
% 44.27/9.01  | | | | | | | |   (141)  combo(all_17_0, d, all_78_0) = all_172_0 &
% 44.27/9.01  | | | | | | | |          $ki_accessible(all_17_0, all_17_0) = all_172_1 & ( ~
% 44.27/9.01  | | | | | | | |            (all_172_1 = 0) | (all_172_0 = 0 & all_71_0 = 0))
% 44.27/9.01  | | | | | | | | 
% 44.27/9.01  | | | | | | | | ALPHA: (141) implies:
% 44.27/9.01  | | | | | | | |   (142)  $ki_accessible(all_17_0, all_17_0) = all_172_1
% 44.27/9.01  | | | | | | | | 
% 44.27/9.01  | | | | | | | | DELTA: instantiating (102) with fresh symbols all_174_0,
% 44.27/9.01  | | | | | | | |        all_174_1 gives:
% 44.27/9.01  | | | | | | | |   (143)  h(all_17_0, all_78_0) = all_174_0 &
% 44.27/9.01  | | | | | | | |          $ki_accessible(all_17_0, all_17_0) = all_174_1 & ( ~
% 44.27/9.01  | | | | | | | |            (all_174_1 = 0) | (all_174_0 = 0 & all_71_1 = 0))
% 44.27/9.01  | | | | | | | | 
% 44.27/9.01  | | | | | | | | ALPHA: (143) implies:
% 44.27/9.01  | | | | | | | |   (144)  $ki_accessible(all_17_0, all_17_0) = all_174_1
% 44.27/9.01  | | | | | | | | 
% 44.27/9.01  | | | | | | | | DELTA: instantiating (100) with fresh symbols all_176_0,
% 44.27/9.01  | | | | | | | |        all_176_1 gives:
% 44.27/9.01  | | | | | | | |   (145)  h(all_17_0, all_52_0) = all_176_0 &
% 44.27/9.01  | | | | | | | |          $ki_accessible(all_17_0, all_17_0) = all_176_1 & ( ~
% 44.27/9.01  | | | | | | | |            (all_176_1 = 0) | (all_176_0 = 0 & all_71_1 = 0))
% 44.27/9.01  | | | | | | | | 
% 44.27/9.01  | | | | | | | | ALPHA: (145) implies:
% 44.27/9.01  | | | | | | | |   (146)  $ki_accessible(all_17_0, all_17_0) = all_176_1
% 44.27/9.01  | | | | | | | | 
% 44.27/9.01  | | | | | | | | DELTA: instantiating (117) with fresh symbols all_178_0,
% 44.27/9.01  | | | | | | | |        all_178_1 gives:
% 44.27/9.01  | | | | | | | |   (147)  combo(all_17_0, d, all_78_0) = all_178_0 &
% 44.27/9.01  | | | | | | | |          $ki_accessible(all_17_0, all_17_0) = all_178_1 & ( ~
% 44.27/9.01  | | | | | | | |            (all_178_1 = 0) | (all_178_0 = 0 & all_81_0 = 0))
% 44.27/9.01  | | | | | | | | 
% 44.27/9.01  | | | | | | | | ALPHA: (147) implies:
% 44.27/9.01  | | | | | | | |   (148)  $ki_accessible(all_17_0, all_17_0) = all_178_1
% 44.27/9.01  | | | | | | | | 
% 44.27/9.01  | | | | | | | | DELTA: instantiating (116) with fresh symbols all_180_0,
% 44.27/9.01  | | | | | | | |        all_180_1 gives:
% 44.27/9.01  | | | | | | | |   (149)  combo(all_17_0, d, d) = all_180_0 &
% 44.27/9.01  | | | | | | | |          $ki_accessible(all_17_0, all_17_0) = all_180_1 & ( ~
% 44.27/9.01  | | | | | | | |            (all_180_1 = 0) | (all_180_0 = 0 & all_81_0 = 0))
% 44.27/9.01  | | | | | | | | 
% 44.27/9.01  | | | | | | | | ALPHA: (149) implies:
% 44.27/9.01  | | | | | | | |   (150)  $ki_accessible(all_17_0, all_17_0) = all_180_1
% 44.27/9.01  | | | | | | | | 
% 44.27/9.01  | | | | | | | | DELTA: instantiating (115) with fresh symbols all_182_0,
% 44.27/9.01  | | | | | | | |        all_182_1 gives:
% 44.27/9.01  | | | | | | | |   (151)  combo(all_17_0, d, all_52_0) = all_182_0 &
% 44.27/9.01  | | | | | | | |          $ki_accessible(all_17_0, all_17_0) = all_182_1 & ( ~
% 44.27/9.01  | | | | | | | |            (all_182_1 = 0) | (all_182_0 = 0 & all_81_0 = 0))
% 44.27/9.01  | | | | | | | | 
% 44.27/9.01  | | | | | | | | ALPHA: (151) implies:
% 44.27/9.01  | | | | | | | |   (152)  $ki_accessible(all_17_0, all_17_0) = all_182_1
% 44.27/9.01  | | | | | | | | 
% 44.27/9.01  | | | | | | | | DELTA: instantiating (106) with fresh symbols all_184_0,
% 44.27/9.01  | | | | | | | |        all_184_1 gives:
% 44.27/9.01  | | | | | | | |   (153)  h(all_17_0, d) = all_184_0 & $ki_accessible(all_17_0,
% 44.27/9.01  | | | | | | | |            all_17_0) = all_184_1 & ( ~ (all_184_1 = 0) |
% 44.27/9.01  | | | | | | | |            (all_184_0 = 0 & all_81_1 = 0))
% 44.27/9.01  | | | | | | | | 
% 44.27/9.01  | | | | | | | | ALPHA: (153) implies:
% 44.27/9.01  | | | | | | | |   (154)  $ki_accessible(all_17_0, all_17_0) = all_184_1
% 44.27/9.01  | | | | | | | | 
% 44.27/9.01  | | | | | | | | DELTA: instantiating (105) with fresh symbols all_186_0,
% 44.27/9.01  | | | | | | | |        all_186_1 gives:
% 44.27/9.01  | | | | | | | |   (155)  h(all_17_0, all_52_0) = all_186_0 &
% 44.27/9.01  | | | | | | | |          $ki_accessible(all_17_0, all_17_0) = all_186_1 & ( ~
% 44.27/9.01  | | | | | | | |            (all_186_1 = 0) | (all_186_0 = 0 & all_81_1 = 0))
% 44.27/9.01  | | | | | | | | 
% 44.27/9.01  | | | | | | | | ALPHA: (155) implies:
% 44.27/9.01  | | | | | | | |   (156)  $ki_accessible(all_17_0, all_17_0) = all_186_1
% 44.27/9.01  | | | | | | | |   (157)  h(all_17_0, all_52_0) = all_186_0
% 44.27/9.01  | | | | | | | |   (158)   ~ (all_186_1 = 0) | (all_186_0 = 0 & all_81_1 = 0)
% 44.27/9.01  | | | | | | | | 
% 44.27/9.01  | | | | | | | | DELTA: instantiating (101) with fresh symbols all_188_0,
% 44.27/9.01  | | | | | | | |        all_188_1 gives:
% 44.27/9.01  | | | | | | | |   (159)  h(all_17_0, d) = all_188_0 & $ki_accessible(all_17_0,
% 44.27/9.01  | | | | | | | |            all_17_0) = all_188_1 & ( ~ (all_188_1 = 0) |
% 44.27/9.01  | | | | | | | |            (all_188_0 = 0 & all_71_1 = 0))
% 44.27/9.01  | | | | | | | | 
% 44.27/9.01  | | | | | | | | ALPHA: (159) implies:
% 44.27/9.01  | | | | | | | |   (160)  $ki_accessible(all_17_0, all_17_0) = all_188_1
% 44.27/9.01  | | | | | | | | 
% 44.27/9.01  | | | | | | | | DELTA: instantiating (114) with fresh symbols all_190_0,
% 44.27/9.01  | | | | | | | |        all_190_1 gives:
% 44.27/9.01  | | | | | | | |   (161)  combo(all_17_0, d, all_72_0) = all_190_0 &
% 44.27/9.01  | | | | | | | |          $ki_accessible(all_17_0, all_17_0) = all_190_1 & ( ~
% 44.27/9.01  | | | | | | | |            (all_190_1 = 0) | (all_190_0 = 0 & all_71_0 = 0))
% 44.27/9.01  | | | | | | | | 
% 44.27/9.01  | | | | | | | | ALPHA: (161) implies:
% 44.27/9.01  | | | | | | | |   (162)  $ki_accessible(all_17_0, all_17_0) = all_190_1
% 44.27/9.01  | | | | | | | | 
% 44.27/9.01  | | | | | | | | DELTA: instantiating (98) with fresh symbol all_205_0 gives:
% 44.27/9.02  | | | | | | | |   (163)  $ki_exists_in_world_$i(all_17_0, all_205_0) = 0 &
% 44.27/9.02  | | | | | | | |          $i(all_205_0) &  ! [v0: $ki_world] :  ! [v1: int] :  !
% 44.27/9.02  | | | | | | | |          [v2: $ki_world] :  ! [v3: int] : (v3 = 0 | v1 = 0 |  ~
% 44.27/9.02  | | | | | | | |            (closed(v2, d) = v3) |  ~ (combo(v0, d, all_75_0) =
% 44.27/9.02  | | | | | | | |              v1) |  ~ $ki_world(v2) |  ~ $ki_world(v0) |  ? [v4:
% 44.27/9.02  | | | | | | | |              int] :  ? [v5: any] :  ? [v6: any] : (( ~ (v4 = 0)
% 44.27/9.02  | | | | | | | |                & $ki_accessible(v0, v2) = v4) | (h(v0, o) = v6 &
% 44.27/9.02  | | | | | | | |                closed(v0, d) = v5 & $ki_accessible(all_17_0, v0)
% 44.27/9.02  | | | | | | | |                = v4 & ( ~ (v6 = 0) |  ~ (v5 = 0) |  ~ (v4 =
% 44.27/9.02  | | | | | | | |                    0))))) &  ! [v0: $ki_world] :  ! [v1:
% 44.27/9.02  | | | | | | | |            $ki_world] :  ! [v2: int] : (v2 = 0 |  ~ (h(v0,
% 44.27/9.02  | | | | | | | |                all_205_0) = 0) |  ~ (open(v1, d) = v2) |  ~
% 44.27/9.02  | | | | | | | |            $ki_world(v1) |  ~ $ki_world(v0) |  ? [v3: int] :  ?
% 44.27/9.02  | | | | | | | |            [v4: any] :  ? [v5: any] : (( ~ (v3 = 0) &
% 44.27/9.02  | | | | | | | |                $ki_accessible(v0, v1) = v3) | (closed(v0, d) =
% 44.27/9.02  | | | | | | | |                v4 & combo(v0, d, all_75_0) = v5 &
% 44.27/9.02  | | | | | | | |                $ki_accessible(all_17_0, v0) = v3 & ( ~ (v5 = 0)
% 44.27/9.02  | | | | | | | |                  |  ~ (v4 = 0) |  ~ (v3 = 0))))) &  ! [v0:
% 44.27/9.02  | | | | | | | |            $ki_world] :  ! [v1: $ki_world] :  ! [v2: int] : (v2
% 44.27/9.02  | | | | | | | |            = 0 |  ~ (h(v0, o) = 0) |  ~ (closed(v1, d) = v2) | 
% 44.27/9.02  | | | | | | | |            ~ $ki_world(v1) |  ~ $ki_world(v0) |  ? [v3: int] : 
% 44.27/9.02  | | | | | | | |            ? [v4: any] :  ? [v5: any] : (( ~ (v3 = 0) &
% 44.27/9.02  | | | | | | | |                $ki_accessible(v0, v1) = v3) | (closed(v0, d) =
% 44.27/9.02  | | | | | | | |                v4 & combo(v0, d, all_75_0) = v5 &
% 44.27/9.02  | | | | | | | |                $ki_accessible(all_17_0, v0) = v3 & ( ~ (v4 = 0)
% 44.27/9.02  | | | | | | | |                  |  ~ (v3 = 0) | v5 = 0)))) &  ! [v0: $ki_world]
% 44.27/9.02  | | | | | | | |          :  ! [v1: $ki_world] :  ! [v2: int] : (v2 = 0 |  ~
% 44.27/9.02  | | | | | | | |            (closed(v1, d) = v2) |  ~ (closed(v0, d) = 0) |  ~
% 44.27/9.02  | | | | | | | |            $ki_world(v1) |  ~ $ki_world(v0) |  ? [v3: int] :  ?
% 44.27/9.02  | | | | | | | |            [v4: any] :  ? [v5: any] : (( ~ (v3 = 0) &
% 44.27/9.02  | | | | | | | |                $ki_accessible(v0, v1) = v3) | (h(v0, o) = v5 &
% 44.27/9.02  | | | | | | | |                combo(v0, d, all_75_0) = v4 &
% 44.27/9.02  | | | | | | | |                $ki_accessible(all_17_0, v0) = v3 & ( ~ (v5 = 0)
% 44.27/9.02  | | | | | | | |                  |  ~ (v3 = 0) | v4 = 0)))) &  ! [v0: $ki_world]
% 44.27/9.02  | | | | | | | |          :  ! [v1: $ki_world] :  ! [v2: int] : (v2 = 0 |  ~
% 44.27/9.02  | | | | | | | |            (closed(v1, d) = v2) |  ~ ($ki_accessible(all_17_0,
% 44.27/9.02  | | | | | | | |                v0) = 0) |  ~ $ki_world(v1) |  ~ $ki_world(v0) | 
% 44.27/9.02  | | | | | | | |            ? [v3: int] :  ? [v4: any] :  ? [v5: any] : (( ~ (v3
% 44.27/9.02  | | | | | | | |                  = 0) & $ki_accessible(v0, v1) = v3) | (h(v0, o)
% 44.27/9.02  | | | | | | | |                = v5 & closed(v0, d) = v3 & combo(v0, d,
% 44.27/9.02  | | | | | | | |                  all_75_0) = v4 & ( ~ (v5 = 0) |  ~ (v3 = 0) |
% 44.27/9.02  | | | | | | | |                  v4 = 0)))) &  ! [v0: $ki_world] :  ! [v1:
% 44.27/9.02  | | | | | | | |            $ki_world] :  ! [v2: int] : (v2 = 0 |  ~ (closed(v0,
% 44.27/9.02  | | | | | | | |                d) = 0) |  ~ (open(v1, d) = v2) |  ~
% 44.27/9.02  | | | | | | | |            $ki_world(v1) |  ~ $ki_world(v0) |  ? [v3: int] :  ?
% 44.27/9.02  | | | | | | | |            [v4: any] :  ? [v5: any] : (( ~ (v3 = 0) &
% 44.27/9.02  | | | | | | | |                $ki_accessible(v0, v1) = v3) | (h(v0, all_205_0)
% 44.27/9.02  | | | | | | | |                = v5 & combo(v0, d, all_75_0) = v4 &
% 44.27/9.02  | | | | | | | |                $ki_accessible(all_17_0, v0) = v3 & ( ~ (v5 = 0)
% 44.27/9.02  | | | | | | | |                  |  ~ (v4 = 0) |  ~ (v3 = 0))))) &  ! [v0:
% 44.27/9.02  | | | | | | | |            $ki_world] :  ! [v1: $ki_world] :  ! [v2: int] : (v2
% 44.27/9.02  | | | | | | | |            = 0 |  ~ (combo(v0, d, all_75_0) = 0) |  ~ (open(v1,
% 44.27/9.02  | | | | | | | |                d) = v2) |  ~ $ki_world(v1) |  ~ $ki_world(v0) | 
% 44.27/9.02  | | | | | | | |            ? [v3: int] :  ? [v4: any] :  ? [v5: any] : (( ~ (v3
% 44.27/9.02  | | | | | | | |                  = 0) & $ki_accessible(v0, v1) = v3) | (h(v0,
% 44.27/9.02  | | | | | | | |                  all_205_0) = v5 & closed(v0, d) = v4 &
% 44.27/9.02  | | | | | | | |                $ki_accessible(all_17_0, v0) = v3 & ( ~ (v5 = 0)
% 44.27/9.02  | | | | | | | |                  |  ~ (v4 = 0) |  ~ (v3 = 0))))) &  ! [v0:
% 44.27/9.02  | | | | | | | |            $ki_world] :  ! [v1: $ki_world] :  ! [v2: int] : (v2
% 44.27/9.02  | | | | | | | |            = 0 |  ~ (open(v1, d) = v2) |  ~
% 44.27/9.02  | | | | | | | |            ($ki_accessible(all_17_0, v0) = 0) |  ~ $ki_world(v1)
% 44.27/9.02  | | | | | | | |            |  ~ $ki_world(v0) |  ? [v3: int] :  ? [v4: any] :  ?
% 44.27/9.02  | | | | | | | |            [v5: any] : (( ~ (v3 = 0) & $ki_accessible(v0, v1) =
% 44.27/9.02  | | | | | | | |                v3) | (h(v0, all_205_0) = v5 & closed(v0, d) = v3
% 44.27/9.02  | | | | | | | |                & combo(v0, d, all_75_0) = v4 & ( ~ (v5 = 0) |  ~
% 44.27/9.02  | | | | | | | |                  (v4 = 0) |  ~ (v3 = 0))))) &  ! [v0: $ki_world]
% 44.27/9.02  | | | | | | | |          :  ! [v1: int] :  ! [v2: $ki_world] : (v1 = 0 |  ~
% 44.27/9.02  | | | | | | | |            (combo(v0, d, all_75_0) = v1) |  ~
% 44.27/9.02  | | | | | | | |            ($ki_accessible(v0, v2) = 0) |  ~ $ki_world(v2) |  ~
% 44.27/9.02  | | | | | | | |            $ki_world(v0) |  ? [v3: int] :  ? [v4: any] :  ? [v5:
% 44.27/9.02  | | | | | | | |              any] : ((v3 = 0 & closed(v2, d) = 0) | (h(v0, o) =
% 44.27/9.02  | | | | | | | |                v5 & closed(v0, d) = v4 &
% 44.27/9.02  | | | | | | | |                $ki_accessible(all_17_0, v0) = v3 & ( ~ (v5 = 0)
% 44.27/9.02  | | | | | | | |                  |  ~ (v4 = 0) |  ~ (v3 = 0))))) &  ! [v0:
% 44.27/9.02  | | | | | | | |            $ki_world] :  ! [v1: $ki_world] : ( ~ (h(v0,
% 44.27/9.02  | | | | | | | |                all_205_0) = 0) |  ~ ($ki_accessible(v0, v1) = 0)
% 44.27/9.02  | | | | | | | |            |  ~ $ki_world(v1) |  ~ $ki_world(v0) |  ? [v2: int]
% 44.27/9.02  | | | | | | | |            :  ? [v3: any] :  ? [v4: any] : ((v2 = 0 & open(v1,
% 44.27/9.02  | | | | | | | |                  d) = 0) | (closed(v0, d) = v3 & combo(v0, d,
% 44.27/9.02  | | | | | | | |                  all_75_0) = v4 & $ki_accessible(all_17_0, v0) =
% 44.27/9.02  | | | | | | | |                v2 & ( ~ (v4 = 0) |  ~ (v3 = 0) |  ~ (v2 = 0)))))
% 44.27/9.02  | | | | | | | |          &  ! [v0: $ki_world] :  ! [v1: $ki_world] : ( ~ (h(v0,
% 44.27/9.02  | | | | | | | |                o) = 0) |  ~ ($ki_accessible(v0, v1) = 0) |  ~
% 44.27/9.02  | | | | | | | |            $ki_world(v1) |  ~ $ki_world(v0) |  ? [v2: int] :  ?
% 44.27/9.02  | | | | | | | |            [v3: any] :  ? [v4: any] : ((v2 = 0 & closed(v1, d) =
% 44.27/9.02  | | | | | | | |                0) | (closed(v0, d) = v3 & combo(v0, d, all_75_0)
% 44.27/9.02  | | | | | | | |                = v4 & $ki_accessible(all_17_0, v0) = v2 & ( ~
% 44.27/9.02  | | | | | | | |                  (v3 = 0) |  ~ (v2 = 0) | v4 = 0)))) &  ! [v0:
% 44.27/9.02  | | | | | | | |            $ki_world] :  ! [v1: $ki_world] : ( ~ (closed(v0, d)
% 44.27/9.02  | | | | | | | |              = 0) |  ~ ($ki_accessible(v0, v1) = 0) |  ~
% 44.27/9.02  | | | | | | | |            $ki_world(v1) |  ~ $ki_world(v0) |  ? [v2: int] :  ?
% 44.27/9.02  | | | | | | | |            [v3: any] :  ? [v4: any] : ((v2 = 0 & closed(v1, d) =
% 44.27/9.02  | | | | | | | |                0) | (h(v0, o) = v4 & combo(v0, d, all_75_0) = v3
% 44.27/9.02  | | | | | | | |                & $ki_accessible(all_17_0, v0) = v2 & ( ~ (v4 =
% 44.27/9.02  | | | | | | | |                    0) |  ~ (v2 = 0) | v3 = 0)))) &  ! [v0:
% 44.27/9.02  | | | | | | | |            $ki_world] :  ! [v1: $ki_world] : ( ~ (closed(v0, d)
% 44.27/9.02  | | | | | | | |              = 0) |  ~ ($ki_accessible(v0, v1) = 0) |  ~
% 44.27/9.02  | | | | | | | |            $ki_world(v1) |  ~ $ki_world(v0) |  ? [v2: int] :  ?
% 44.27/9.02  | | | | | | | |            [v3: any] :  ? [v4: any] : ((v2 = 0 & open(v1, d) =
% 44.27/9.02  | | | | | | | |                0) | (h(v0, all_205_0) = v4 & combo(v0, d,
% 44.27/9.02  | | | | | | | |                  all_75_0) = v3 & $ki_accessible(all_17_0, v0) =
% 44.27/9.02  | | | | | | | |                v2 & ( ~ (v4 = 0) |  ~ (v3 = 0) |  ~ (v2 = 0)))))
% 44.27/9.02  | | | | | | | |          &  ! [v0: $ki_world] :  ! [v1: $ki_world] : ( ~
% 44.27/9.02  | | | | | | | |            (combo(v0, d, all_75_0) = 0) |  ~ ($ki_accessible(v0,
% 44.27/9.02  | | | | | | | |                v1) = 0) |  ~ $ki_world(v1) |  ~ $ki_world(v0) | 
% 44.27/9.02  | | | | | | | |            ? [v2: int] :  ? [v3: any] :  ? [v4: any] : ((v2 = 0
% 44.27/9.02  | | | | | | | |                & open(v1, d) = 0) | (h(v0, all_205_0) = v4 &
% 44.27/9.02  | | | | | | | |                closed(v0, d) = v3 & $ki_accessible(all_17_0, v0)
% 44.27/9.02  | | | | | | | |                = v2 & ( ~ (v4 = 0) |  ~ (v3 = 0) |  ~ (v2 =
% 44.27/9.02  | | | | | | | |                    0))))) &  ! [v0: $ki_world] :  ! [v1:
% 44.27/9.02  | | | | | | | |            $ki_world] : ( ~ ($ki_accessible(v0, v1) = 0) |  ~
% 44.27/9.02  | | | | | | | |            ($ki_accessible(all_17_0, v0) = 0) |  ~ $ki_world(v1)
% 44.27/9.02  | | | | | | | |            |  ~ $ki_world(v0) |  ? [v2: int] :  ? [v3: any] :  ?
% 44.27/9.02  | | | | | | | |            [v4: any] : ((v2 = 0 & closed(v1, d) = 0) | (h(v0, o)
% 44.27/9.02  | | | | | | | |                = v4 & closed(v0, d) = v2 & combo(v0, d,
% 44.27/9.02  | | | | | | | |                  all_75_0) = v3 & ( ~ (v4 = 0) |  ~ (v2 = 0) |
% 44.27/9.02  | | | | | | | |                  v3 = 0)))) &  ! [v0: $ki_world] :  ! [v1:
% 44.27/9.02  | | | | | | | |            $ki_world] : ( ~ ($ki_accessible(v0, v1) = 0) |  ~
% 44.27/9.02  | | | | | | | |            ($ki_accessible(all_17_0, v0) = 0) |  ~ $ki_world(v1)
% 44.27/9.02  | | | | | | | |            |  ~ $ki_world(v0) |  ? [v2: int] :  ? [v3: any] :  ?
% 44.27/9.02  | | | | | | | |            [v4: any] : ((v2 = 0 & open(v1, d) = 0) | (h(v0,
% 44.27/9.02  | | | | | | | |                  all_205_0) = v4 & closed(v0, d) = v2 &
% 44.27/9.02  | | | | | | | |                combo(v0, d, all_75_0) = v3 & ( ~ (v4 = 0) |  ~
% 44.27/9.02  | | | | | | | |                  (v3 = 0) |  ~ (v2 = 0)))))
% 44.27/9.02  | | | | | | | | 
% 44.27/9.02  | | | | | | | | ALPHA: (163) implies:
% 44.27/9.02  | | | | | | | |   (164)   ! [v0: $ki_world] :  ! [v1: $ki_world] : ( ~
% 44.27/9.02  | | | | | | | |            (closed(v0, d) = 0) |  ~ ($ki_accessible(v0, v1) = 0)
% 44.27/9.02  | | | | | | | |            |  ~ $ki_world(v1) |  ~ $ki_world(v0) |  ? [v2: int]
% 44.27/9.02  | | | | | | | |            :  ? [v3: any] :  ? [v4: any] : ((v2 = 0 & open(v1,
% 44.27/9.02  | | | | | | | |                  d) = 0) | (h(v0, all_205_0) = v4 & combo(v0, d,
% 44.27/9.02  | | | | | | | |                  all_75_0) = v3 & $ki_accessible(all_17_0, v0) =
% 44.27/9.02  | | | | | | | |                v2 & ( ~ (v4 = 0) |  ~ (v3 = 0) |  ~ (v2 = 0)))))
% 44.27/9.02  | | | | | | | | 
% 44.27/9.02  | | | | | | | | GROUND_INST: instantiating (164) with all_17_0, all_50_1,
% 44.27/9.02  | | | | | | | |              simplifying with (11), (16), (29), (30) gives:
% 44.27/9.02  | | | | | | | |   (165)   ? [v0: int] :  ? [v1: any] :  ? [v2: any] : ((v0 = 0 &
% 44.27/9.02  | | | | | | | |              open(all_50_1, d) = 0) | (h(all_17_0, all_205_0) =
% 44.27/9.02  | | | | | | | |              v2 & combo(all_17_0, d, all_75_0) = v1 &
% 44.27/9.02  | | | | | | | |              $ki_accessible(all_17_0, all_17_0) = v0 & ( ~ (v2 =
% 44.27/9.02  | | | | | | | |                  0) |  ~ (v1 = 0) |  ~ (v0 = 0))))
% 44.27/9.02  | | | | | | | | 
% 44.27/9.02  | | | | | | | | DELTA: instantiating (165) with fresh symbols all_208_0,
% 44.27/9.02  | | | | | | | |        all_208_1, all_208_2 gives:
% 44.27/9.03  | | | | | | | |   (166)  (all_208_2 = 0 & open(all_50_1, d) = 0) | (h(all_17_0,
% 44.27/9.03  | | | | | | | |              all_205_0) = all_208_0 & combo(all_17_0, d,
% 44.27/9.03  | | | | | | | |              all_75_0) = all_208_1 & $ki_accessible(all_17_0,
% 44.27/9.03  | | | | | | | |              all_17_0) = all_208_2 & ( ~ (all_208_0 = 0) |  ~
% 44.27/9.03  | | | | | | | |              (all_208_1 = 0) |  ~ (all_208_2 = 0)))
% 44.27/9.03  | | | | | | | | 
% 44.27/9.03  | | | | | | | | DELTA: instantiating (99) with fresh symbol all_236_0 gives:
% 44.27/9.03  | | | | | | | |   (167)  $ki_exists_in_world_$i(all_17_0, all_236_0) = 0 &
% 44.27/9.03  | | | | | | | |          $i(all_236_0) &  ! [v0: $ki_world] :  ! [v1: int] :  !
% 44.27/9.03  | | | | | | | |          [v2: $ki_world] :  ! [v3: int] : (v3 = 0 | v1 = 0 |  ~
% 44.27/9.03  | | | | | | | |            (closed(v2, d) = v3) |  ~ (combo(v0, d, all_78_0) =
% 44.27/9.03  | | | | | | | |              v1) |  ~ $ki_world(v2) |  ~ $ki_world(v0) |  ? [v4:
% 44.27/9.03  | | | | | | | |              int] :  ? [v5: any] :  ? [v6: any] : (( ~ (v4 = 0)
% 44.27/9.03  | | | | | | | |                & $ki_accessible(v0, v2) = v4) | (h(v0, o) = v6 &
% 44.27/9.03  | | | | | | | |                closed(v0, d) = v5 & $ki_accessible(all_17_0, v0)
% 44.27/9.03  | | | | | | | |                = v4 & ( ~ (v6 = 0) |  ~ (v5 = 0) |  ~ (v4 =
% 44.27/9.03  | | | | | | | |                    0))))) &  ! [v0: $ki_world] :  ! [v1:
% 44.27/9.03  | | | | | | | |            $ki_world] :  ! [v2: int] : (v2 = 0 |  ~ (h(v0,
% 44.27/9.03  | | | | | | | |                all_236_0) = 0) |  ~ (open(v1, d) = v2) |  ~
% 44.27/9.03  | | | | | | | |            $ki_world(v1) |  ~ $ki_world(v0) |  ? [v3: int] :  ?
% 44.27/9.03  | | | | | | | |            [v4: any] :  ? [v5: any] : (( ~ (v3 = 0) &
% 44.27/9.03  | | | | | | | |                $ki_accessible(v0, v1) = v3) | (closed(v0, d) =
% 44.27/9.03  | | | | | | | |                v4 & combo(v0, d, all_78_0) = v5 &
% 44.27/9.03  | | | | | | | |                $ki_accessible(all_17_0, v0) = v3 & ( ~ (v5 = 0)
% 44.27/9.03  | | | | | | | |                  |  ~ (v4 = 0) |  ~ (v3 = 0))))) &  ! [v0:
% 44.27/9.03  | | | | | | | |            $ki_world] :  ! [v1: $ki_world] :  ! [v2: int] : (v2
% 44.27/9.03  | | | | | | | |            = 0 |  ~ (h(v0, o) = 0) |  ~ (closed(v1, d) = v2) | 
% 44.27/9.03  | | | | | | | |            ~ $ki_world(v1) |  ~ $ki_world(v0) |  ? [v3: int] : 
% 44.27/9.03  | | | | | | | |            ? [v4: any] :  ? [v5: any] : (( ~ (v3 = 0) &
% 44.27/9.03  | | | | | | | |                $ki_accessible(v0, v1) = v3) | (closed(v0, d) =
% 44.27/9.03  | | | | | | | |                v4 & combo(v0, d, all_78_0) = v5 &
% 44.27/9.03  | | | | | | | |                $ki_accessible(all_17_0, v0) = v3 & ( ~ (v4 = 0)
% 44.27/9.03  | | | | | | | |                  |  ~ (v3 = 0) | v5 = 0)))) &  ! [v0: $ki_world]
% 44.27/9.03  | | | | | | | |          :  ! [v1: $ki_world] :  ! [v2: int] : (v2 = 0 |  ~
% 44.27/9.03  | | | | | | | |            (closed(v1, d) = v2) |  ~ (closed(v0, d) = 0) |  ~
% 44.27/9.03  | | | | | | | |            $ki_world(v1) |  ~ $ki_world(v0) |  ? [v3: int] :  ?
% 44.27/9.03  | | | | | | | |            [v4: any] :  ? [v5: any] : (( ~ (v3 = 0) &
% 44.27/9.03  | | | | | | | |                $ki_accessible(v0, v1) = v3) | (h(v0, o) = v5 &
% 44.27/9.03  | | | | | | | |                combo(v0, d, all_78_0) = v4 &
% 44.27/9.03  | | | | | | | |                $ki_accessible(all_17_0, v0) = v3 & ( ~ (v5 = 0)
% 44.27/9.03  | | | | | | | |                  |  ~ (v3 = 0) | v4 = 0)))) &  ! [v0: $ki_world]
% 44.27/9.03  | | | | | | | |          :  ! [v1: $ki_world] :  ! [v2: int] : (v2 = 0 |  ~
% 44.27/9.03  | | | | | | | |            (closed(v1, d) = v2) |  ~ ($ki_accessible(all_17_0,
% 44.27/9.03  | | | | | | | |                v0) = 0) |  ~ $ki_world(v1) |  ~ $ki_world(v0) | 
% 44.27/9.03  | | | | | | | |            ? [v3: int] :  ? [v4: any] :  ? [v5: any] : (( ~ (v3
% 44.27/9.03  | | | | | | | |                  = 0) & $ki_accessible(v0, v1) = v3) | (h(v0, o)
% 44.27/9.03  | | | | | | | |                = v5 & closed(v0, d) = v3 & combo(v0, d,
% 44.27/9.03  | | | | | | | |                  all_78_0) = v4 & ( ~ (v5 = 0) |  ~ (v3 = 0) |
% 44.27/9.03  | | | | | | | |                  v4 = 0)))) &  ! [v0: $ki_world] :  ! [v1:
% 44.27/9.03  | | | | | | | |            $ki_world] :  ! [v2: int] : (v2 = 0 |  ~ (closed(v0,
% 44.27/9.03  | | | | | | | |                d) = 0) |  ~ (open(v1, d) = v2) |  ~
% 44.27/9.03  | | | | | | | |            $ki_world(v1) |  ~ $ki_world(v0) |  ? [v3: int] :  ?
% 44.27/9.03  | | | | | | | |            [v4: any] :  ? [v5: any] : (( ~ (v3 = 0) &
% 44.27/9.03  | | | | | | | |                $ki_accessible(v0, v1) = v3) | (h(v0, all_236_0)
% 44.27/9.03  | | | | | | | |                = v5 & combo(v0, d, all_78_0) = v4 &
% 44.27/9.03  | | | | | | | |                $ki_accessible(all_17_0, v0) = v3 & ( ~ (v5 = 0)
% 44.27/9.03  | | | | | | | |                  |  ~ (v4 = 0) |  ~ (v3 = 0))))) &  ! [v0:
% 44.27/9.03  | | | | | | | |            $ki_world] :  ! [v1: $ki_world] :  ! [v2: int] : (v2
% 44.27/9.03  | | | | | | | |            = 0 |  ~ (combo(v0, d, all_78_0) = 0) |  ~ (open(v1,
% 44.27/9.03  | | | | | | | |                d) = v2) |  ~ $ki_world(v1) |  ~ $ki_world(v0) | 
% 44.27/9.03  | | | | | | | |            ? [v3: int] :  ? [v4: any] :  ? [v5: any] : (( ~ (v3
% 44.27/9.03  | | | | | | | |                  = 0) & $ki_accessible(v0, v1) = v3) | (h(v0,
% 44.27/9.03  | | | | | | | |                  all_236_0) = v5 & closed(v0, d) = v4 &
% 44.27/9.03  | | | | | | | |                $ki_accessible(all_17_0, v0) = v3 & ( ~ (v5 = 0)
% 44.27/9.03  | | | | | | | |                  |  ~ (v4 = 0) |  ~ (v3 = 0))))) &  ! [v0:
% 44.27/9.03  | | | | | | | |            $ki_world] :  ! [v1: $ki_world] :  ! [v2: int] : (v2
% 44.27/9.03  | | | | | | | |            = 0 |  ~ (open(v1, d) = v2) |  ~
% 44.27/9.03  | | | | | | | |            ($ki_accessible(all_17_0, v0) = 0) |  ~ $ki_world(v1)
% 44.27/9.03  | | | | | | | |            |  ~ $ki_world(v0) |  ? [v3: int] :  ? [v4: any] :  ?
% 44.27/9.03  | | | | | | | |            [v5: any] : (( ~ (v3 = 0) & $ki_accessible(v0, v1) =
% 44.27/9.03  | | | | | | | |                v3) | (h(v0, all_236_0) = v5 & closed(v0, d) = v3
% 44.27/9.03  | | | | | | | |                & combo(v0, d, all_78_0) = v4 & ( ~ (v5 = 0) |  ~
% 44.27/9.03  | | | | | | | |                  (v4 = 0) |  ~ (v3 = 0))))) &  ! [v0: $ki_world]
% 44.27/9.03  | | | | | | | |          :  ! [v1: int] :  ! [v2: $ki_world] : (v1 = 0 |  ~
% 44.27/9.03  | | | | | | | |            (combo(v0, d, all_78_0) = v1) |  ~
% 44.27/9.03  | | | | | | | |            ($ki_accessible(v0, v2) = 0) |  ~ $ki_world(v2) |  ~
% 44.27/9.03  | | | | | | | |            $ki_world(v0) |  ? [v3: int] :  ? [v4: any] :  ? [v5:
% 44.27/9.03  | | | | | | | |              any] : ((v3 = 0 & closed(v2, d) = 0) | (h(v0, o) =
% 44.27/9.03  | | | | | | | |                v5 & closed(v0, d) = v4 &
% 44.27/9.03  | | | | | | | |                $ki_accessible(all_17_0, v0) = v3 & ( ~ (v5 = 0)
% 44.27/9.03  | | | | | | | |                  |  ~ (v4 = 0) |  ~ (v3 = 0))))) &  ! [v0:
% 44.27/9.03  | | | | | | | |            $ki_world] :  ! [v1: $ki_world] : ( ~ (h(v0,
% 44.27/9.03  | | | | | | | |                all_236_0) = 0) |  ~ ($ki_accessible(v0, v1) = 0)
% 44.27/9.03  | | | | | | | |            |  ~ $ki_world(v1) |  ~ $ki_world(v0) |  ? [v2: int]
% 44.27/9.03  | | | | | | | |            :  ? [v3: any] :  ? [v4: any] : ((v2 = 0 & open(v1,
% 44.27/9.03  | | | | | | | |                  d) = 0) | (closed(v0, d) = v3 & combo(v0, d,
% 44.27/9.03  | | | | | | | |                  all_78_0) = v4 & $ki_accessible(all_17_0, v0) =
% 44.27/9.03  | | | | | | | |                v2 & ( ~ (v4 = 0) |  ~ (v3 = 0) |  ~ (v2 = 0)))))
% 44.27/9.03  | | | | | | | |          &  ! [v0: $ki_world] :  ! [v1: $ki_world] : ( ~ (h(v0,
% 44.27/9.03  | | | | | | | |                o) = 0) |  ~ ($ki_accessible(v0, v1) = 0) |  ~
% 44.27/9.03  | | | | | | | |            $ki_world(v1) |  ~ $ki_world(v0) |  ? [v2: int] :  ?
% 44.27/9.03  | | | | | | | |            [v3: any] :  ? [v4: any] : ((v2 = 0 & closed(v1, d) =
% 44.27/9.03  | | | | | | | |                0) | (closed(v0, d) = v3 & combo(v0, d, all_78_0)
% 44.27/9.03  | | | | | | | |                = v4 & $ki_accessible(all_17_0, v0) = v2 & ( ~
% 44.27/9.03  | | | | | | | |                  (v3 = 0) |  ~ (v2 = 0) | v4 = 0)))) &  ! [v0:
% 44.27/9.03  | | | | | | | |            $ki_world] :  ! [v1: $ki_world] : ( ~ (closed(v0, d)
% 44.27/9.03  | | | | | | | |              = 0) |  ~ ($ki_accessible(v0, v1) = 0) |  ~
% 44.27/9.03  | | | | | | | |            $ki_world(v1) |  ~ $ki_world(v0) |  ? [v2: int] :  ?
% 44.27/9.03  | | | | | | | |            [v3: any] :  ? [v4: any] : ((v2 = 0 & closed(v1, d) =
% 44.27/9.03  | | | | | | | |                0) | (h(v0, o) = v4 & combo(v0, d, all_78_0) = v3
% 44.27/9.03  | | | | | | | |                & $ki_accessible(all_17_0, v0) = v2 & ( ~ (v4 =
% 44.27/9.03  | | | | | | | |                    0) |  ~ (v2 = 0) | v3 = 0)))) &  ! [v0:
% 44.27/9.03  | | | | | | | |            $ki_world] :  ! [v1: $ki_world] : ( ~ (closed(v0, d)
% 44.27/9.03  | | | | | | | |              = 0) |  ~ ($ki_accessible(v0, v1) = 0) |  ~
% 44.27/9.03  | | | | | | | |            $ki_world(v1) |  ~ $ki_world(v0) |  ? [v2: int] :  ?
% 44.27/9.03  | | | | | | | |            [v3: any] :  ? [v4: any] : ((v2 = 0 & open(v1, d) =
% 44.27/9.03  | | | | | | | |                0) | (h(v0, all_236_0) = v4 & combo(v0, d,
% 44.27/9.03  | | | | | | | |                  all_78_0) = v3 & $ki_accessible(all_17_0, v0) =
% 44.27/9.03  | | | | | | | |                v2 & ( ~ (v4 = 0) |  ~ (v3 = 0) |  ~ (v2 = 0)))))
% 44.27/9.03  | | | | | | | |          &  ! [v0: $ki_world] :  ! [v1: $ki_world] : ( ~
% 44.27/9.03  | | | | | | | |            (combo(v0, d, all_78_0) = 0) |  ~ ($ki_accessible(v0,
% 44.27/9.03  | | | | | | | |                v1) = 0) |  ~ $ki_world(v1) |  ~ $ki_world(v0) | 
% 44.27/9.03  | | | | | | | |            ? [v2: int] :  ? [v3: any] :  ? [v4: any] : ((v2 = 0
% 44.27/9.03  | | | | | | | |                & open(v1, d) = 0) | (h(v0, all_236_0) = v4 &
% 44.27/9.03  | | | | | | | |                closed(v0, d) = v3 & $ki_accessible(all_17_0, v0)
% 44.27/9.03  | | | | | | | |                = v2 & ( ~ (v4 = 0) |  ~ (v3 = 0) |  ~ (v2 =
% 44.27/9.03  | | | | | | | |                    0))))) &  ! [v0: $ki_world] :  ! [v1:
% 44.27/9.03  | | | | | | | |            $ki_world] : ( ~ ($ki_accessible(v0, v1) = 0) |  ~
% 44.27/9.03  | | | | | | | |            ($ki_accessible(all_17_0, v0) = 0) |  ~ $ki_world(v1)
% 44.27/9.03  | | | | | | | |            |  ~ $ki_world(v0) |  ? [v2: int] :  ? [v3: any] :  ?
% 44.27/9.03  | | | | | | | |            [v4: any] : ((v2 = 0 & closed(v1, d) = 0) | (h(v0, o)
% 44.27/9.03  | | | | | | | |                = v4 & closed(v0, d) = v2 & combo(v0, d,
% 44.27/9.03  | | | | | | | |                  all_78_0) = v3 & ( ~ (v4 = 0) |  ~ (v2 = 0) |
% 44.27/9.03  | | | | | | | |                  v3 = 0)))) &  ! [v0: $ki_world] :  ! [v1:
% 44.27/9.03  | | | | | | | |            $ki_world] : ( ~ ($ki_accessible(v0, v1) = 0) |  ~
% 44.27/9.03  | | | | | | | |            ($ki_accessible(all_17_0, v0) = 0) |  ~ $ki_world(v1)
% 44.27/9.03  | | | | | | | |            |  ~ $ki_world(v0) |  ? [v2: int] :  ? [v3: any] :  ?
% 44.27/9.03  | | | | | | | |            [v4: any] : ((v2 = 0 & open(v1, d) = 0) | (h(v0,
% 44.27/9.03  | | | | | | | |                  all_236_0) = v4 & closed(v0, d) = v2 &
% 44.27/9.03  | | | | | | | |                combo(v0, d, all_78_0) = v3 & ( ~ (v4 = 0) |  ~
% 44.27/9.03  | | | | | | | |                  (v3 = 0) |  ~ (v2 = 0)))))
% 44.27/9.03  | | | | | | | | 
% 44.27/9.03  | | | | | | | | ALPHA: (167) implies:
% 44.27/9.04  | | | | | | | |   (168)   ! [v0: $ki_world] :  ! [v1: $ki_world] : ( ~
% 44.27/9.04  | | | | | | | |            (closed(v0, d) = 0) |  ~ ($ki_accessible(v0, v1) = 0)
% 44.27/9.04  | | | | | | | |            |  ~ $ki_world(v1) |  ~ $ki_world(v0) |  ? [v2: int]
% 44.27/9.04  | | | | | | | |            :  ? [v3: any] :  ? [v4: any] : ((v2 = 0 & open(v1,
% 44.27/9.04  | | | | | | | |                  d) = 0) | (h(v0, all_236_0) = v4 & combo(v0, d,
% 44.27/9.04  | | | | | | | |                  all_78_0) = v3 & $ki_accessible(all_17_0, v0) =
% 44.27/9.04  | | | | | | | |                v2 & ( ~ (v4 = 0) |  ~ (v3 = 0) |  ~ (v2 = 0)))))
% 44.27/9.04  | | | | | | | | 
% 44.27/9.04  | | | | | | | | GROUND_INST: instantiating (168) with all_17_0, all_50_1,
% 44.27/9.04  | | | | | | | |              simplifying with (11), (16), (29), (30) gives:
% 44.27/9.04  | | | | | | | |   (169)   ? [v0: int] :  ? [v1: any] :  ? [v2: any] : ((v0 = 0 &
% 44.27/9.04  | | | | | | | |              open(all_50_1, d) = 0) | (h(all_17_0, all_236_0) =
% 44.27/9.04  | | | | | | | |              v2 & combo(all_17_0, d, all_78_0) = v1 &
% 44.27/9.04  | | | | | | | |              $ki_accessible(all_17_0, all_17_0) = v0 & ( ~ (v2 =
% 44.27/9.04  | | | | | | | |                  0) |  ~ (v1 = 0) |  ~ (v0 = 0))))
% 44.27/9.04  | | | | | | | | 
% 44.27/9.04  | | | | | | | | DELTA: instantiating (169) with fresh symbols all_239_0,
% 44.27/9.04  | | | | | | | |        all_239_1, all_239_2 gives:
% 44.27/9.04  | | | | | | | |   (170)  (all_239_2 = 0 & open(all_50_1, d) = 0) | (h(all_17_0,
% 44.27/9.04  | | | | | | | |              all_236_0) = all_239_0 & combo(all_17_0, d,
% 44.27/9.04  | | | | | | | |              all_78_0) = all_239_1 & $ki_accessible(all_17_0,
% 44.27/9.04  | | | | | | | |              all_17_0) = all_239_2 & ( ~ (all_239_0 = 0) |  ~
% 44.27/9.04  | | | | | | | |              (all_239_1 = 0) |  ~ (all_239_2 = 0)))
% 44.27/9.04  | | | | | | | | 
% 44.27/9.04  | | | | | | | | DELTA: instantiating (97) with fresh symbol all_261_0 gives:
% 44.27/9.05  | | | | | | | |   (171)  $ki_exists_in_world_$i(all_17_0, all_261_0) = 0 &
% 44.27/9.05  | | | | | | | |          $i(all_261_0) &  ! [v0: $ki_world] :  ! [v1: int] :  !
% 44.27/9.05  | | | | | | | |          [v2: $ki_world] :  ! [v3: int] : (v3 = 0 | v1 = 0 |  ~
% 44.27/9.05  | | | | | | | |            (closed(v2, d) = v3) |  ~ (combo(v0, d, all_72_0) =
% 44.27/9.05  | | | | | | | |              v1) |  ~ $ki_world(v2) |  ~ $ki_world(v0) |  ? [v4:
% 44.27/9.05  | | | | | | | |              int] :  ? [v5: any] :  ? [v6: any] : (( ~ (v4 = 0)
% 44.27/9.05  | | | | | | | |                & $ki_accessible(v0, v2) = v4) | (h(v0, o) = v6 &
% 44.27/9.05  | | | | | | | |                closed(v0, d) = v5 & $ki_accessible(all_17_0, v0)
% 44.27/9.05  | | | | | | | |                = v4 & ( ~ (v6 = 0) |  ~ (v5 = 0) |  ~ (v4 =
% 44.27/9.05  | | | | | | | |                    0))))) &  ! [v0: $ki_world] :  ! [v1:
% 44.27/9.05  | | | | | | | |            $ki_world] :  ! [v2: int] : (v2 = 0 |  ~ (h(v0,
% 44.27/9.05  | | | | | | | |                all_261_0) = 0) |  ~ (open(v1, d) = v2) |  ~
% 44.27/9.05  | | | | | | | |            $ki_world(v1) |  ~ $ki_world(v0) |  ? [v3: int] :  ?
% 44.27/9.05  | | | | | | | |            [v4: any] :  ? [v5: any] : (( ~ (v3 = 0) &
% 44.27/9.05  | | | | | | | |                $ki_accessible(v0, v1) = v3) | (closed(v0, d) =
% 44.27/9.05  | | | | | | | |                v4 & combo(v0, d, all_72_0) = v5 &
% 44.27/9.05  | | | | | | | |                $ki_accessible(all_17_0, v0) = v3 & ( ~ (v5 = 0)
% 44.27/9.05  | | | | | | | |                  |  ~ (v4 = 0) |  ~ (v3 = 0))))) &  ! [v0:
% 44.27/9.05  | | | | | | | |            $ki_world] :  ! [v1: $ki_world] :  ! [v2: int] : (v2
% 44.27/9.05  | | | | | | | |            = 0 |  ~ (h(v0, o) = 0) |  ~ (closed(v1, d) = v2) | 
% 44.27/9.05  | | | | | | | |            ~ $ki_world(v1) |  ~ $ki_world(v0) |  ? [v3: int] : 
% 44.27/9.05  | | | | | | | |            ? [v4: any] :  ? [v5: any] : (( ~ (v3 = 0) &
% 44.27/9.05  | | | | | | | |                $ki_accessible(v0, v1) = v3) | (closed(v0, d) =
% 44.27/9.05  | | | | | | | |                v4 & combo(v0, d, all_72_0) = v5 &
% 44.27/9.05  | | | | | | | |                $ki_accessible(all_17_0, v0) = v3 & ( ~ (v4 = 0)
% 44.27/9.05  | | | | | | | |                  |  ~ (v3 = 0) | v5 = 0)))) &  ! [v0: $ki_world]
% 44.27/9.05  | | | | | | | |          :  ! [v1: $ki_world] :  ! [v2: int] : (v2 = 0 |  ~
% 44.27/9.05  | | | | | | | |            (closed(v1, d) = v2) |  ~ (closed(v0, d) = 0) |  ~
% 44.27/9.05  | | | | | | | |            $ki_world(v1) |  ~ $ki_world(v0) |  ? [v3: int] :  ?
% 44.27/9.05  | | | | | | | |            [v4: any] :  ? [v5: any] : (( ~ (v3 = 0) &
% 44.27/9.05  | | | | | | | |                $ki_accessible(v0, v1) = v3) | (h(v0, o) = v5 &
% 44.27/9.05  | | | | | | | |                combo(v0, d, all_72_0) = v4 &
% 44.27/9.05  | | | | | | | |                $ki_accessible(all_17_0, v0) = v3 & ( ~ (v5 = 0)
% 44.27/9.05  | | | | | | | |                  |  ~ (v3 = 0) | v4 = 0)))) &  ! [v0: $ki_world]
% 44.27/9.05  | | | | | | | |          :  ! [v1: $ki_world] :  ! [v2: int] : (v2 = 0 |  ~
% 44.27/9.05  | | | | | | | |            (closed(v1, d) = v2) |  ~ ($ki_accessible(all_17_0,
% 44.27/9.05  | | | | | | | |                v0) = 0) |  ~ $ki_world(v1) |  ~ $ki_world(v0) | 
% 44.27/9.05  | | | | | | | |            ? [v3: int] :  ? [v4: any] :  ? [v5: any] : (( ~ (v3
% 44.27/9.05  | | | | | | | |                  = 0) & $ki_accessible(v0, v1) = v3) | (h(v0, o)
% 44.27/9.05  | | | | | | | |                = v5 & closed(v0, d) = v3 & combo(v0, d,
% 44.27/9.05  | | | | | | | |                  all_72_0) = v4 & ( ~ (v5 = 0) |  ~ (v3 = 0) |
% 44.27/9.05  | | | | | | | |                  v4 = 0)))) &  ! [v0: $ki_world] :  ! [v1:
% 44.27/9.05  | | | | | | | |            $ki_world] :  ! [v2: int] : (v2 = 0 |  ~ (closed(v0,
% 44.27/9.05  | | | | | | | |                d) = 0) |  ~ (open(v1, d) = v2) |  ~
% 44.27/9.05  | | | | | | | |            $ki_world(v1) |  ~ $ki_world(v0) |  ? [v3: int] :  ?
% 44.27/9.05  | | | | | | | |            [v4: any] :  ? [v5: any] : (( ~ (v3 = 0) &
% 44.27/9.05  | | | | | | | |                $ki_accessible(v0, v1) = v3) | (h(v0, all_261_0)
% 44.27/9.05  | | | | | | | |                = v5 & combo(v0, d, all_72_0) = v4 &
% 44.27/9.05  | | | | | | | |                $ki_accessible(all_17_0, v0) = v3 & ( ~ (v5 = 0)
% 44.27/9.05  | | | | | | | |                  |  ~ (v4 = 0) |  ~ (v3 = 0))))) &  ! [v0:
% 44.27/9.05  | | | | | | | |            $ki_world] :  ! [v1: $ki_world] :  ! [v2: int] : (v2
% 44.27/9.05  | | | | | | | |            = 0 |  ~ (combo(v0, d, all_72_0) = 0) |  ~ (open(v1,
% 44.27/9.05  | | | | | | | |                d) = v2) |  ~ $ki_world(v1) |  ~ $ki_world(v0) | 
% 44.27/9.05  | | | | | | | |            ? [v3: int] :  ? [v4: any] :  ? [v5: any] : (( ~ (v3
% 44.27/9.05  | | | | | | | |                  = 0) & $ki_accessible(v0, v1) = v3) | (h(v0,
% 44.27/9.05  | | | | | | | |                  all_261_0) = v5 & closed(v0, d) = v4 &
% 44.27/9.05  | | | | | | | |                $ki_accessible(all_17_0, v0) = v3 & ( ~ (v5 = 0)
% 44.27/9.05  | | | | | | | |                  |  ~ (v4 = 0) |  ~ (v3 = 0))))) &  ! [v0:
% 44.27/9.05  | | | | | | | |            $ki_world] :  ! [v1: $ki_world] :  ! [v2: int] : (v2
% 44.27/9.05  | | | | | | | |            = 0 |  ~ (open(v1, d) = v2) |  ~
% 44.27/9.05  | | | | | | | |            ($ki_accessible(all_17_0, v0) = 0) |  ~ $ki_world(v1)
% 44.27/9.05  | | | | | | | |            |  ~ $ki_world(v0) |  ? [v3: int] :  ? [v4: any] :  ?
% 44.27/9.05  | | | | | | | |            [v5: any] : (( ~ (v3 = 0) & $ki_accessible(v0, v1) =
% 44.27/9.05  | | | | | | | |                v3) | (h(v0, all_261_0) = v5 & closed(v0, d) = v3
% 44.27/9.05  | | | | | | | |                & combo(v0, d, all_72_0) = v4 & ( ~ (v5 = 0) |  ~
% 44.27/9.05  | | | | | | | |                  (v4 = 0) |  ~ (v3 = 0))))) &  ! [v0: $ki_world]
% 44.27/9.05  | | | | | | | |          :  ! [v1: int] :  ! [v2: $ki_world] : (v1 = 0 |  ~
% 44.27/9.05  | | | | | | | |            (combo(v0, d, all_72_0) = v1) |  ~
% 44.27/9.05  | | | | | | | |            ($ki_accessible(v0, v2) = 0) |  ~ $ki_world(v2) |  ~
% 44.27/9.05  | | | | | | | |            $ki_world(v0) |  ? [v3: int] :  ? [v4: any] :  ? [v5:
% 44.27/9.05  | | | | | | | |              any] : ((v3 = 0 & closed(v2, d) = 0) | (h(v0, o) =
% 44.27/9.05  | | | | | | | |                v5 & closed(v0, d) = v4 &
% 44.27/9.05  | | | | | | | |                $ki_accessible(all_17_0, v0) = v3 & ( ~ (v5 = 0)
% 44.27/9.05  | | | | | | | |                  |  ~ (v4 = 0) |  ~ (v3 = 0))))) &  ! [v0:
% 44.27/9.05  | | | | | | | |            $ki_world] :  ! [v1: $ki_world] : ( ~ (h(v0,
% 44.27/9.05  | | | | | | | |                all_261_0) = 0) |  ~ ($ki_accessible(v0, v1) = 0)
% 44.27/9.05  | | | | | | | |            |  ~ $ki_world(v1) |  ~ $ki_world(v0) |  ? [v2: int]
% 44.27/9.05  | | | | | | | |            :  ? [v3: any] :  ? [v4: any] : ((v2 = 0 & open(v1,
% 44.27/9.05  | | | | | | | |                  d) = 0) | (closed(v0, d) = v3 & combo(v0, d,
% 44.27/9.05  | | | | | | | |                  all_72_0) = v4 & $ki_accessible(all_17_0, v0) =
% 44.27/9.05  | | | | | | | |                v2 & ( ~ (v4 = 0) |  ~ (v3 = 0) |  ~ (v2 = 0)))))
% 44.27/9.05  | | | | | | | |          &  ! [v0: $ki_world] :  ! [v1: $ki_world] : ( ~ (h(v0,
% 44.27/9.05  | | | | | | | |                o) = 0) |  ~ ($ki_accessible(v0, v1) = 0) |  ~
% 44.27/9.05  | | | | | | | |            $ki_world(v1) |  ~ $ki_world(v0) |  ? [v2: int] :  ?
% 44.27/9.05  | | | | | | | |            [v3: any] :  ? [v4: any] : ((v2 = 0 & closed(v1, d) =
% 44.27/9.05  | | | | | | | |                0) | (closed(v0, d) = v3 & combo(v0, d, all_72_0)
% 44.27/9.05  | | | | | | | |                = v4 & $ki_accessible(all_17_0, v0) = v2 & ( ~
% 44.27/9.05  | | | | | | | |                  (v3 = 0) |  ~ (v2 = 0) | v4 = 0)))) &  ! [v0:
% 44.27/9.05  | | | | | | | |            $ki_world] :  ! [v1: $ki_world] : ( ~ (closed(v0, d)
% 44.27/9.05  | | | | | | | |              = 0) |  ~ ($ki_accessible(v0, v1) = 0) |  ~
% 44.27/9.05  | | | | | | | |            $ki_world(v1) |  ~ $ki_world(v0) |  ? [v2: int] :  ?
% 44.27/9.05  | | | | | | | |            [v3: any] :  ? [v4: any] : ((v2 = 0 & closed(v1, d) =
% 44.27/9.05  | | | | | | | |                0) | (h(v0, o) = v4 & combo(v0, d, all_72_0) = v3
% 44.27/9.05  | | | | | | | |                & $ki_accessible(all_17_0, v0) = v2 & ( ~ (v4 =
% 44.27/9.05  | | | | | | | |                    0) |  ~ (v2 = 0) | v3 = 0)))) &  ! [v0:
% 44.27/9.05  | | | | | | | |            $ki_world] :  ! [v1: $ki_world] : ( ~ (closed(v0, d)
% 44.27/9.05  | | | | | | | |              = 0) |  ~ ($ki_accessible(v0, v1) = 0) |  ~
% 44.27/9.05  | | | | | | | |            $ki_world(v1) |  ~ $ki_world(v0) |  ? [v2: int] :  ?
% 44.27/9.05  | | | | | | | |            [v3: any] :  ? [v4: any] : ((v2 = 0 & open(v1, d) =
% 44.27/9.05  | | | | | | | |                0) | (h(v0, all_261_0) = v4 & combo(v0, d,
% 44.27/9.05  | | | | | | | |                  all_72_0) = v3 & $ki_accessible(all_17_0, v0) =
% 44.27/9.05  | | | | | | | |                v2 & ( ~ (v4 = 0) |  ~ (v3 = 0) |  ~ (v2 = 0)))))
% 44.27/9.05  | | | | | | | |          &  ! [v0: $ki_world] :  ! [v1: $ki_world] : ( ~
% 44.27/9.05  | | | | | | | |            (combo(v0, d, all_72_0) = 0) |  ~ ($ki_accessible(v0,
% 44.27/9.05  | | | | | | | |                v1) = 0) |  ~ $ki_world(v1) |  ~ $ki_world(v0) | 
% 44.27/9.05  | | | | | | | |            ? [v2: int] :  ? [v3: any] :  ? [v4: any] : ((v2 = 0
% 44.27/9.05  | | | | | | | |                & open(v1, d) = 0) | (h(v0, all_261_0) = v4 &
% 44.27/9.05  | | | | | | | |                closed(v0, d) = v3 & $ki_accessible(all_17_0, v0)
% 44.27/9.05  | | | | | | | |                = v2 & ( ~ (v4 = 0) |  ~ (v3 = 0) |  ~ (v2 =
% 44.27/9.05  | | | | | | | |                    0))))) &  ! [v0: $ki_world] :  ! [v1:
% 44.27/9.05  | | | | | | | |            $ki_world] : ( ~ ($ki_accessible(v0, v1) = 0) |  ~
% 44.27/9.05  | | | | | | | |            ($ki_accessible(all_17_0, v0) = 0) |  ~ $ki_world(v1)
% 44.27/9.05  | | | | | | | |            |  ~ $ki_world(v0) |  ? [v2: int] :  ? [v3: any] :  ?
% 44.27/9.05  | | | | | | | |            [v4: any] : ((v2 = 0 & closed(v1, d) = 0) | (h(v0, o)
% 44.27/9.05  | | | | | | | |                = v4 & closed(v0, d) = v2 & combo(v0, d,
% 44.27/9.05  | | | | | | | |                  all_72_0) = v3 & ( ~ (v4 = 0) |  ~ (v2 = 0) |
% 44.27/9.05  | | | | | | | |                  v3 = 0)))) &  ! [v0: $ki_world] :  ! [v1:
% 44.27/9.05  | | | | | | | |            $ki_world] : ( ~ ($ki_accessible(v0, v1) = 0) |  ~
% 44.27/9.05  | | | | | | | |            ($ki_accessible(all_17_0, v0) = 0) |  ~ $ki_world(v1)
% 44.27/9.05  | | | | | | | |            |  ~ $ki_world(v0) |  ? [v2: int] :  ? [v3: any] :  ?
% 44.27/9.05  | | | | | | | |            [v4: any] : ((v2 = 0 & open(v1, d) = 0) | (h(v0,
% 44.27/9.05  | | | | | | | |                  all_261_0) = v4 & closed(v0, d) = v2 &
% 44.27/9.05  | | | | | | | |                combo(v0, d, all_72_0) = v3 & ( ~ (v4 = 0) |  ~
% 44.27/9.05  | | | | | | | |                  (v3 = 0) |  ~ (v2 = 0)))))
% 44.27/9.05  | | | | | | | | 
% 44.27/9.05  | | | | | | | | ALPHA: (171) implies:
% 44.27/9.05  | | | | | | | |   (172)   ! [v0: $ki_world] :  ! [v1: $ki_world] : ( ~
% 44.27/9.05  | | | | | | | |            (closed(v0, d) = 0) |  ~ ($ki_accessible(v0, v1) = 0)
% 44.27/9.05  | | | | | | | |            |  ~ $ki_world(v1) |  ~ $ki_world(v0) |  ? [v2: int]
% 44.27/9.05  | | | | | | | |            :  ? [v3: any] :  ? [v4: any] : ((v2 = 0 & open(v1,
% 44.27/9.05  | | | | | | | |                  d) = 0) | (h(v0, all_261_0) = v4 & combo(v0, d,
% 44.27/9.05  | | | | | | | |                  all_72_0) = v3 & $ki_accessible(all_17_0, v0) =
% 44.27/9.05  | | | | | | | |                v2 & ( ~ (v4 = 0) |  ~ (v3 = 0) |  ~ (v2 = 0)))))
% 44.27/9.05  | | | | | | | |   (173)   ! [v0: $ki_world] :  ! [v1: $ki_world] :  ! [v2: int]
% 44.27/9.05  | | | | | | | |          : (v2 = 0 |  ~ (open(v1, d) = v2) |  ~
% 44.27/9.05  | | | | | | | |            ($ki_accessible(all_17_0, v0) = 0) |  ~ $ki_world(v1)
% 44.27/9.05  | | | | | | | |            |  ~ $ki_world(v0) |  ? [v3: int] :  ? [v4: any] :  ?
% 44.27/9.05  | | | | | | | |            [v5: any] : (( ~ (v3 = 0) & $ki_accessible(v0, v1) =
% 44.27/9.05  | | | | | | | |                v3) | (h(v0, all_261_0) = v5 & closed(v0, d) = v3
% 44.27/9.05  | | | | | | | |                & combo(v0, d, all_72_0) = v4 & ( ~ (v5 = 0) |  ~
% 44.27/9.05  | | | | | | | |                  (v4 = 0) |  ~ (v3 = 0)))))
% 44.27/9.05  | | | | | | | | 
% 44.27/9.05  | | | | | | | | GROUND_INST: instantiating (173) with all_50_1, all_50_1,
% 44.27/9.05  | | | | | | | |              all_50_0, simplifying with (29), (30), (31) gives:
% 44.27/9.05  | | | | | | | |   (174)  all_50_0 = 0 |  ? [v0: int] :  ? [v1: any] :  ? [v2:
% 44.27/9.05  | | | | | | | |            any] : (( ~ (v0 = 0) & $ki_accessible(all_50_1,
% 44.27/9.05  | | | | | | | |                all_50_1) = v0) | (h(all_50_1, all_261_0) = v2 &
% 44.27/9.05  | | | | | | | |              closed(all_50_1, d) = v0 & combo(all_50_1, d,
% 44.27/9.05  | | | | | | | |                all_72_0) = v1 & ( ~ (v2 = 0) |  ~ (v1 = 0) |  ~
% 44.27/9.05  | | | | | | | |                (v0 = 0))))
% 44.27/9.05  | | | | | | | | 
% 44.27/9.05  | | | | | | | | GROUND_INST: instantiating (172) with all_17_0, all_50_1,
% 44.27/9.05  | | | | | | | |              simplifying with (11), (16), (29), (30) gives:
% 44.27/9.05  | | | | | | | |   (175)   ? [v0: int] :  ? [v1: any] :  ? [v2: any] : ((v0 = 0 &
% 44.27/9.05  | | | | | | | |              open(all_50_1, d) = 0) | (h(all_17_0, all_261_0) =
% 44.27/9.05  | | | | | | | |              v2 & combo(all_17_0, d, all_72_0) = v1 &
% 44.27/9.05  | | | | | | | |              $ki_accessible(all_17_0, all_17_0) = v0 & ( ~ (v2 =
% 44.27/9.05  | | | | | | | |                  0) |  ~ (v1 = 0) |  ~ (v0 = 0))))
% 44.27/9.05  | | | | | | | | 
% 44.27/9.05  | | | | | | | | DELTA: instantiating (175) with fresh symbols all_264_0,
% 44.27/9.05  | | | | | | | |        all_264_1, all_264_2 gives:
% 44.27/9.05  | | | | | | | |   (176)  (all_264_2 = 0 & open(all_50_1, d) = 0) | (h(all_17_0,
% 44.27/9.05  | | | | | | | |              all_261_0) = all_264_0 & combo(all_17_0, d,
% 44.27/9.05  | | | | | | | |              all_72_0) = all_264_1 & $ki_accessible(all_17_0,
% 44.27/9.05  | | | | | | | |              all_17_0) = all_264_2 & ( ~ (all_264_0 = 0) |  ~
% 44.27/9.05  | | | | | | | |              (all_264_1 = 0) |  ~ (all_264_2 = 0)))
% 44.27/9.05  | | | | | | | | 
% 44.27/9.05  | | | | | | | | REDUCE: (65), (96) imply:
% 44.27/9.05  | | | | | | | |   (177)  $ki_accessible(all_17_0, all_17_0) = 0
% 44.27/9.05  | | | | | | | | 
% 44.27/9.05  | | | | | | | | BETA: splitting (41) gives:
% 44.27/9.05  | | | | | | | | 
% 44.27/9.05  | | | | | | | | Case 1:
% 44.27/9.05  | | | | | | | | | 
% 44.27/9.05  | | | | | | | | |   (178)   ~ (all_59_2 = 0) & $ki_accessible(all_17_0,
% 44.27/9.05  | | | | | | | | |            all_17_0) = all_59_2
% 44.27/9.05  | | | | | | | | | 
% 44.27/9.05  | | | | | | | | | ALPHA: (178) implies:
% 44.27/9.05  | | | | | | | | |   (179)   ~ (all_59_2 = 0)
% 44.27/9.05  | | | | | | | | |   (180)  $ki_accessible(all_17_0, all_17_0) = all_59_2
% 44.27/9.05  | | | | | | | | | 
% 44.27/9.05  | | | | | | | | | BETA: splitting (176) gives:
% 44.27/9.05  | | | | | | | | | 
% 44.27/9.05  | | | | | | | | | Case 1:
% 44.27/9.05  | | | | | | | | | | 
% 44.27/9.05  | | | | | | | | | |   (181)  all_264_2 = 0 & open(all_50_1, d) = 0
% 44.27/9.05  | | | | | | | | | | 
% 44.27/9.05  | | | | | | | | | | ALPHA: (181) implies:
% 44.27/9.05  | | | | | | | | | |   (182)  open(all_50_1, d) = 0
% 44.27/9.05  | | | | | | | | | | 
% 44.27/9.05  | | | | | | | | | | REF_CLOSE: (7), (28), (31), (182) are inconsistent by
% 44.27/9.05  | | | | | | | | | |            sub-proof #4.
% 44.27/9.05  | | | | | | | | | | 
% 44.27/9.05  | | | | | | | | | Case 2:
% 44.27/9.05  | | | | | | | | | | 
% 44.27/9.05  | | | | | | | | | |   (183)  h(all_17_0, all_261_0) = all_264_0 &
% 44.27/9.05  | | | | | | | | | |          combo(all_17_0, d, all_72_0) = all_264_1 &
% 44.27/9.05  | | | | | | | | | |          $ki_accessible(all_17_0, all_17_0) = all_264_2 & (
% 44.27/9.05  | | | | | | | | | |            ~ (all_264_0 = 0) |  ~ (all_264_1 = 0) |  ~
% 44.27/9.05  | | | | | | | | | |            (all_264_2 = 0))
% 44.27/9.05  | | | | | | | | | | 
% 44.27/9.05  | | | | | | | | | | ALPHA: (183) implies:
% 44.27/9.05  | | | | | | | | | |   (184)  $ki_accessible(all_17_0, all_17_0) = all_264_2
% 44.27/9.05  | | | | | | | | | | 
% 44.27/9.05  | | | | | | | | | | BETA: splitting (170) gives:
% 44.27/9.05  | | | | | | | | | | 
% 44.27/9.05  | | | | | | | | | | Case 1:
% 44.27/9.05  | | | | | | | | | | | 
% 44.27/9.05  | | | | | | | | | | |   (185)  all_239_2 = 0 & open(all_50_1, d) = 0
% 44.27/9.05  | | | | | | | | | | | 
% 44.27/9.05  | | | | | | | | | | | ALPHA: (185) implies:
% 44.27/9.05  | | | | | | | | | | |   (186)  open(all_50_1, d) = 0
% 44.27/9.05  | | | | | | | | | | | 
% 44.27/9.05  | | | | | | | | | | | REF_CLOSE: (7), (28), (31), (186) are inconsistent by
% 44.27/9.05  | | | | | | | | | | |            sub-proof #4.
% 44.27/9.05  | | | | | | | | | | | 
% 44.27/9.05  | | | | | | | | | | Case 2:
% 44.27/9.05  | | | | | | | | | | | 
% 44.27/9.05  | | | | | | | | | | |   (187)  h(all_17_0, all_236_0) = all_239_0 &
% 44.27/9.05  | | | | | | | | | | |          combo(all_17_0, d, all_78_0) = all_239_1 &
% 44.27/9.05  | | | | | | | | | | |          $ki_accessible(all_17_0, all_17_0) = all_239_2 & (
% 44.27/9.05  | | | | | | | | | | |            ~ (all_239_0 = 0) |  ~ (all_239_1 = 0) |  ~
% 44.27/9.05  | | | | | | | | | | |            (all_239_2 = 0))
% 44.27/9.05  | | | | | | | | | | | 
% 44.27/9.05  | | | | | | | | | | | ALPHA: (187) implies:
% 44.27/9.05  | | | | | | | | | | |   (188)  $ki_accessible(all_17_0, all_17_0) = all_239_2
% 44.27/9.05  | | | | | | | | | | | 
% 44.27/9.05  | | | | | | | | | | | BETA: splitting (81) gives:
% 44.27/9.05  | | | | | | | | | | | 
% 44.27/9.05  | | | | | | | | | | | Case 1:
% 44.27/9.05  | | | | | | | | | | | | 
% 44.27/9.05  | | | | | | | | | | | |   (189)   ~ (all_106_2 = 0) & $ki_accessible(all_17_0,
% 44.27/9.05  | | | | | | | | | | | |            all_17_0) = all_106_2
% 44.27/9.05  | | | | | | | | | | | | 
% 44.27/9.05  | | | | | | | | | | | | ALPHA: (189) implies:
% 44.27/9.05  | | | | | | | | | | | |   (190)  $ki_accessible(all_17_0, all_17_0) = all_106_2
% 44.27/9.05  | | | | | | | | | | | | 
% 44.27/9.05  | | | | | | | | | | | | REF_CLOSE: (6), (7), (28), (31), (121), (123), (125), (127),
% 44.27/9.05  | | | | | | | | | | | |            (129), (131), (133), (136), (138), (140), (142),
% 44.27/9.05  | | | | | | | | | | | |            (144), (146), (148), (150), (152), (154), (156),
% 44.27/9.05  | | | | | | | | | | | |            (160), (162), (166), (177), (179), (180), (184),
% 44.27/9.05  | | | | | | | | | | | |            (188), (190) are inconsistent by sub-proof #2.
% 44.27/9.05  | | | | | | | | | | | | 
% 44.27/9.05  | | | | | | | | | | | Case 2:
% 44.27/9.05  | | | | | | | | | | | | 
% 44.27/9.05  | | | | | | | | | | | |   (191)  h(all_17_0, all_78_0) = all_106_0 &
% 44.27/9.05  | | | | | | | | | | | |          combo(all_17_0, d, all_52_0) = all_106_1 &
% 44.27/9.05  | | | | | | | | | | | |          $ki_accessible(all_17_0, all_17_0) = all_106_2 & (
% 44.27/9.05  | | | | | | | | | | | |            ~ (all_106_0 = 0) |  ~ (all_106_1 = 0) |  ~
% 44.27/9.05  | | | | | | | | | | | |            (all_106_2 = 0))
% 44.27/9.05  | | | | | | | | | | | | 
% 44.27/9.05  | | | | | | | | | | | | ALPHA: (191) implies:
% 44.27/9.05  | | | | | | | | | | | |   (192)  $ki_accessible(all_17_0, all_17_0) = all_106_2
% 44.27/9.05  | | | | | | | | | | | | 
% 44.27/9.05  | | | | | | | | | | | | REF_CLOSE: (6), (7), (28), (31), (121), (123), (125), (127),
% 44.27/9.05  | | | | | | | | | | | |            (129), (131), (133), (136), (138), (140), (142),
% 44.27/9.05  | | | | | | | | | | | |            (144), (146), (148), (150), (152), (154), (156),
% 44.27/9.05  | | | | | | | | | | | |            (160), (162), (166), (177), (179), (180), (184),
% 44.27/9.05  | | | | | | | | | | | |            (188), (192) are inconsistent by sub-proof #2.
% 44.27/9.05  | | | | | | | | | | | | 
% 44.27/9.05  | | | | | | | | | | | End of split
% 44.27/9.05  | | | | | | | | | | | 
% 44.27/9.05  | | | | | | | | | | End of split
% 44.27/9.05  | | | | | | | | | | 
% 44.27/9.05  | | | | | | | | | End of split
% 44.27/9.05  | | | | | | | | | 
% 44.27/9.05  | | | | | | | | Case 2:
% 44.27/9.05  | | | | | | | | | 
% 44.27/9.05  | | | | | | | | |   (193)  h(all_17_0, all_52_0) = all_59_0 & combo(all_17_0, d,
% 44.27/9.05  | | | | | | | | |            d) = all_59_1 & $ki_accessible(all_17_0, all_17_0)
% 44.27/9.05  | | | | | | | | |          = all_59_2 & ( ~ (all_59_0 = 0) |  ~ (all_59_1 = 0) |
% 44.27/9.05  | | | | | | | | |             ~ (all_59_2 = 0))
% 44.27/9.05  | | | | | | | | | 
% 44.27/9.05  | | | | | | | | | ALPHA: (193) implies:
% 44.27/9.05  | | | | | | | | |   (194)  $ki_accessible(all_17_0, all_17_0) = all_59_2
% 44.27/9.05  | | | | | | | | |   (195)  combo(all_17_0, d, d) = all_59_1
% 44.27/9.05  | | | | | | | | |   (196)  h(all_17_0, all_52_0) = all_59_0
% 44.27/9.05  | | | | | | | | |   (197)   ~ (all_59_0 = 0) |  ~ (all_59_1 = 0) |  ~ (all_59_2
% 44.27/9.05  | | | | | | | | |            = 0)
% 44.27/9.05  | | | | | | | | | 
% 44.27/9.05  | | | | | | | | | BETA: splitting (81) gives:
% 44.27/9.05  | | | | | | | | | 
% 44.27/9.05  | | | | | | | | | Case 1:
% 44.27/9.05  | | | | | | | | | | 
% 44.27/9.05  | | | | | | | | | |   (198)   ~ (all_106_2 = 0) & $ki_accessible(all_17_0,
% 44.27/9.05  | | | | | | | | | |            all_17_0) = all_106_2
% 44.27/9.05  | | | | | | | | | | 
% 44.27/9.05  | | | | | | | | | | ALPHA: (198) implies:
% 44.27/9.05  | | | | | | | | | |   (199)  $ki_accessible(all_17_0, all_17_0) = all_106_2
% 44.27/9.05  | | | | | | | | | | 
% 44.27/9.06  | | | | | | | | | | REF_CLOSE: (6), (7), (8), (9), (28), (31), (66), (121),
% 44.27/9.06  | | | | | | | | | |            (123), (125), (127), (129), (131), (133), (134),
% 44.27/9.06  | | | | | | | | | |            (136), (138), (140), (142), (144), (146), (148),
% 44.27/9.06  | | | | | | | | | |            (150), (152), (154), (156), (157), (158), (160),
% 44.27/9.06  | | | | | | | | | |            (162), (166), (170), (174), (176), (177), (194),
% 44.27/9.06  | | | | | | | | | |            (195), (196), (197), (199) are inconsistent by
% 44.27/9.06  | | | | | | | | | |            sub-proof #1.
% 44.27/9.06  | | | | | | | | | | 
% 44.27/9.06  | | | | | | | | | Case 2:
% 44.27/9.06  | | | | | | | | | | 
% 44.27/9.06  | | | | | | | | | |   (200)  h(all_17_0, all_78_0) = all_106_0 & combo(all_17_0,
% 44.27/9.06  | | | | | | | | | |            d, all_52_0) = all_106_1 &
% 44.27/9.06  | | | | | | | | | |          $ki_accessible(all_17_0, all_17_0) = all_106_2 & (
% 44.27/9.06  | | | | | | | | | |            ~ (all_106_0 = 0) |  ~ (all_106_1 = 0) |  ~
% 44.27/9.06  | | | | | | | | | |            (all_106_2 = 0))
% 44.27/9.06  | | | | | | | | | | 
% 44.27/9.06  | | | | | | | | | | ALPHA: (200) implies:
% 44.27/9.06  | | | | | | | | | |   (201)  $ki_accessible(all_17_0, all_17_0) = all_106_2
% 44.27/9.06  | | | | | | | | | | 
% 44.27/9.06  | | | | | | | | | | REF_CLOSE: (6), (7), (8), (9), (28), (31), (66), (121),
% 44.27/9.06  | | | | | | | | | |            (123), (125), (127), (129), (131), (133), (134),
% 44.27/9.06  | | | | | | | | | |            (136), (138), (140), (142), (144), (146), (148),
% 44.27/9.06  | | | | | | | | | |            (150), (152), (154), (156), (157), (158), (160),
% 44.27/9.06  | | | | | | | | | |            (162), (166), (170), (174), (176), (177), (194),
% 44.27/9.06  | | | | | | | | | |            (195), (196), (197), (201) are inconsistent by
% 44.27/9.06  | | | | | | | | | |            sub-proof #1.
% 44.27/9.06  | | | | | | | | | | 
% 44.27/9.06  | | | | | | | | | End of split
% 44.27/9.06  | | | | | | | | | 
% 44.27/9.06  | | | | | | | | End of split
% 44.27/9.06  | | | | | | | | 
% 44.27/9.06  | | | | | | | End of split
% 44.27/9.06  | | | | | | | 
% 44.27/9.06  | | | | | | End of split
% 44.27/9.06  | | | | | | 
% 44.27/9.06  | | | | | End of split
% 44.27/9.06  | | | | | 
% 44.27/9.06  | | | | End of split
% 44.27/9.06  | | | | 
% 44.27/9.06  | | | End of split
% 44.27/9.06  | | | 
% 44.27/9.06  | | End of split
% 44.27/9.06  | | 
% 44.27/9.06  | Case 2:
% 44.27/9.06  | | 
% 44.27/9.06  | |   (202)   ~ (all_33_1 = 0)
% 44.27/9.06  | | 
% 44.27/9.06  | | REDUCE: (22), (202) imply:
% 44.27/9.06  | |   (203)  $false
% 44.27/9.06  | | 
% 44.27/9.06  | | CLOSE: (203) is inconsistent.
% 44.27/9.06  | | 
% 44.27/9.06  | End of split
% 44.27/9.06  | 
% 44.27/9.06  End of proof
% 44.27/9.06  
% 44.27/9.06  Sub-proof #1 shows that the following formulas are inconsistent:
% 44.27/9.06  ----------------------------------------------------------------
% 44.27/9.06    (1)   ~ (all_59_0 = 0) |  ~ (all_59_1 = 0) |  ~ (all_59_2 = 0)
% 44.27/9.06    (2)  open(all_50_1, d) = all_50_0
% 44.27/9.06    (3)  $ki_accessible(all_17_0, all_17_0) = all_174_1
% 44.27/9.06    (4)   ~ (all_50_0 = 0)
% 44.27/9.06    (5)  $ki_accessible(all_17_0, all_17_0) = all_59_2
% 44.27/9.06    (6)  $ki_accessible(all_17_0, all_17_0) = all_158_1
% 44.27/9.06    (7)  combo(all_17_0, d, d) = all_71_1
% 44.27/9.06    (8)  $ki_accessible(all_17_0, all_17_0) = all_182_1
% 44.27/9.06    (9)  (all_208_2 = 0 & open(all_50_1, d) = 0) | (h(all_17_0, all_205_0) =
% 44.27/9.06           all_208_0 & combo(all_17_0, d, all_75_0) = all_208_1 &
% 44.27/9.06           $ki_accessible(all_17_0, all_17_0) = all_208_2 & ( ~ (all_208_0 = 0) | 
% 44.27/9.06             ~ (all_208_1 = 0) |  ~ (all_208_2 = 0)))
% 44.27/9.06    (10)  $ki_accessible(all_17_0, all_17_0) = all_168_1
% 44.27/9.06    (11)  $ki_accessible(all_17_0, all_17_0) = all_172_1
% 44.27/9.06    (12)  $ki_accessible(all_17_0, all_17_0) = 0
% 44.27/9.06    (13)  $ki_accessible(all_17_0, all_17_0) = all_164_1
% 44.27/9.06    (14)  $ki_accessible(all_17_0, all_17_0) = all_156_1
% 44.27/9.06    (15)  $ki_accessible(all_17_0, all_17_0) = all_184_1
% 44.27/9.06    (16)   ~ (all_164_1 = 0) | (all_164_0 = 0 & all_71_1 = 0)
% 44.27/9.06    (17)  $ki_accessible(all_17_0, all_17_0) = all_188_1
% 44.27/9.06    (18)  $ki_accessible(all_17_0, all_17_0) = all_166_1
% 44.27/9.06    (19)   ~ (all_186_1 = 0) | (all_186_0 = 0 & all_81_1 = 0)
% 44.27/9.06    (20)  $ki_accessible(all_17_0, all_17_0) = all_190_1
% 44.27/9.06    (21)  $ki_accessible(all_17_0, all_17_0) = all_176_1
% 44.27/9.06    (22)  $ki_accessible(all_17_0, all_17_0) = all_186_1
% 44.27/9.06    (23)  $ki_accessible(all_17_0, all_17_0) = all_154_1
% 44.27/9.06    (24)  (all_239_2 = 0 & open(all_50_1, d) = 0) | (h(all_17_0, all_236_0) =
% 44.27/9.06            all_239_0 & combo(all_17_0, d, all_78_0) = all_239_1 &
% 44.27/9.06            $ki_accessible(all_17_0, all_17_0) = all_239_2 & ( ~ (all_239_0 = 0) |
% 44.27/9.06               ~ (all_239_1 = 0) |  ~ (all_239_2 = 0)))
% 44.27/9.06    (25)  $ki_accessible(all_17_0, all_17_0) = all_170_1
% 44.27/9.06    (26)  all_50_0 = 0 |  ? [v0: int] :  ? [v1: any] :  ? [v2: any] : (( ~ (v0 =
% 44.27/9.06                0) & $ki_accessible(all_50_1, all_50_1) = v0) | (h(all_50_1,
% 44.27/9.06                all_261_0) = v2 & closed(all_50_1, d) = v0 & combo(all_50_1, d,
% 44.27/9.06                all_72_0) = v1 & ( ~ (v2 = 0) |  ~ (v1 = 0) |  ~ (v0 = 0))))
% 44.27/9.06    (27)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 44.27/9.06            $ki_world] :  ! [v3: $ki_world] : (v1 = v0 |  ~ ($ki_accessible(v3,
% 44.27/9.06                v2) = v1) |  ~ ($ki_accessible(v3, v2) = v0))
% 44.27/9.06    (28)  $ki_accessible(all_17_0, all_17_0) = all_106_2
% 44.27/9.06    (29)  $ki_accessible(all_17_0, all_17_0) = all_160_1
% 44.27/9.06    (30)  $ki_accessible(all_17_0, all_17_0) = all_180_1
% 44.27/9.06    (31)  h(all_17_0, all_52_0) = all_59_0
% 44.27/9.06    (32)  $ki_accessible(all_17_0, all_17_0) = all_152_1
% 44.27/9.06    (33)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : 
% 44.27/9.06          ! [v3: $i] :  ! [v4: $ki_world] : (v1 = v0 |  ~ (combo(v4, v3, v2) = v1)
% 44.27/9.06            |  ~ (combo(v4, v3, v2) = v0))
% 44.27/9.06    (34)  h(all_17_0, all_52_0) = all_186_0
% 44.27/9.06    (35)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : 
% 44.27/9.06          ! [v3: $ki_world] : (v1 = v0 |  ~ (h(v3, v2) = v1) |  ~ (h(v3, v2) =
% 44.27/9.06              v0))
% 44.27/9.06    (36)  $ki_accessible(all_17_0, all_17_0) = all_162_1
% 44.27/9.06    (37)  combo(all_17_0, d, d) = all_59_1
% 44.27/9.06    (38)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : 
% 44.27/9.06          ! [v3: $ki_world] : (v1 = v0 |  ~ (open(v3, v2) = v1) |  ~ (open(v3, v2)
% 44.27/9.06              = v0))
% 44.27/9.06    (39)  $ki_accessible(all_17_0, all_17_0) = all_178_1
% 44.27/9.06    (40)  (all_264_2 = 0 & open(all_50_1, d) = 0) | (h(all_17_0, all_261_0) =
% 44.27/9.06            all_264_0 & combo(all_17_0, d, all_72_0) = all_264_1 &
% 44.27/9.06            $ki_accessible(all_17_0, all_17_0) = all_264_2 & ( ~ (all_264_0 = 0) |
% 44.27/9.06               ~ (all_264_1 = 0) |  ~ (all_264_2 = 0)))
% 44.27/9.06  
% 44.27/9.06  Begin of proof
% 44.27/9.06  | 
% 44.27/9.06  | BETA: splitting (24) gives:
% 44.27/9.06  | 
% 44.27/9.06  | Case 1:
% 44.27/9.06  | | 
% 44.27/9.06  | |   (41)  all_239_2 = 0 & open(all_50_1, d) = 0
% 44.27/9.06  | | 
% 44.27/9.06  | | ALPHA: (41) implies:
% 44.27/9.06  | |   (42)  open(all_50_1, d) = 0
% 44.27/9.06  | | 
% 44.27/9.06  | | REF_CLOSE: (2), (4), (38), (42) are inconsistent by sub-proof #4.
% 44.27/9.06  | | 
% 44.27/9.06  | Case 2:
% 44.27/9.06  | | 
% 44.27/9.06  | |   (43)  h(all_17_0, all_236_0) = all_239_0 & combo(all_17_0, d, all_78_0) =
% 44.27/9.06  | |         all_239_1 & $ki_accessible(all_17_0, all_17_0) = all_239_2 & ( ~
% 44.27/9.06  | |           (all_239_0 = 0) |  ~ (all_239_1 = 0) |  ~ (all_239_2 = 0))
% 44.27/9.06  | | 
% 44.27/9.06  | | ALPHA: (43) implies:
% 44.27/9.06  | |   (44)  $ki_accessible(all_17_0, all_17_0) = all_239_2
% 44.27/9.06  | | 
% 44.27/9.06  | | BETA: splitting (40) gives:
% 44.27/9.06  | | 
% 44.27/9.06  | | Case 1:
% 44.27/9.06  | | | 
% 44.27/9.06  | | |   (45)  all_264_2 = 0 & open(all_50_1, d) = 0
% 44.27/9.06  | | | 
% 44.27/9.06  | | | ALPHA: (45) implies:
% 44.27/9.06  | | |   (46)  open(all_50_1, d) = 0
% 44.27/9.06  | | | 
% 44.27/9.07  | | | REF_CLOSE: (2), (4), (38), (46) are inconsistent by sub-proof #4.
% 44.27/9.07  | | | 
% 44.27/9.07  | | Case 2:
% 44.27/9.07  | | | 
% 44.27/9.07  | | |   (47)  h(all_17_0, all_261_0) = all_264_0 & combo(all_17_0, d, all_72_0)
% 44.27/9.07  | | |         = all_264_1 & $ki_accessible(all_17_0, all_17_0) = all_264_2 & ( ~
% 44.27/9.07  | | |           (all_264_0 = 0) |  ~ (all_264_1 = 0) |  ~ (all_264_2 = 0))
% 44.27/9.07  | | | 
% 44.27/9.07  | | | ALPHA: (47) implies:
% 44.27/9.07  | | |   (48)  $ki_accessible(all_17_0, all_17_0) = all_264_2
% 44.27/9.07  | | | 
% 44.27/9.07  | | | BETA: splitting (9) gives:
% 44.27/9.07  | | | 
% 44.27/9.07  | | | Case 1:
% 44.27/9.07  | | | | 
% 44.27/9.07  | | | |   (49)  all_208_2 = 0 & open(all_50_1, d) = 0
% 44.27/9.07  | | | | 
% 44.27/9.07  | | | | ALPHA: (49) implies:
% 44.27/9.07  | | | |   (50)  open(all_50_1, d) = 0
% 44.27/9.07  | | | | 
% 44.27/9.07  | | | | REF_CLOSE: (2), (4), (38), (50) are inconsistent by sub-proof #4.
% 44.27/9.07  | | | | 
% 44.27/9.07  | | | Case 2:
% 44.27/9.07  | | | | 
% 44.27/9.07  | | | |   (51)  h(all_17_0, all_205_0) = all_208_0 & combo(all_17_0, d,
% 44.27/9.07  | | | |           all_75_0) = all_208_1 & $ki_accessible(all_17_0, all_17_0) =
% 44.27/9.07  | | | |         all_208_2 & ( ~ (all_208_0 = 0) |  ~ (all_208_1 = 0) |  ~
% 44.27/9.07  | | | |           (all_208_2 = 0))
% 44.27/9.07  | | | | 
% 44.27/9.07  | | | | ALPHA: (51) implies:
% 44.27/9.07  | | | |   (52)  $ki_accessible(all_17_0, all_17_0) = all_208_2
% 44.27/9.07  | | | | 
% 44.27/9.07  | | | | BETA: splitting (26) gives:
% 44.27/9.07  | | | | 
% 44.27/9.07  | | | | Case 1:
% 44.27/9.07  | | | | | 
% 44.27/9.07  | | | | |   (53)  all_50_0 = 0
% 44.27/9.07  | | | | | 
% 44.27/9.07  | | | | | REDUCE: (4), (53) imply:
% 44.27/9.07  | | | | |   (54)  $false
% 44.27/9.07  | | | | | 
% 44.27/9.07  | | | | | CLOSE: (54) is inconsistent.
% 44.27/9.07  | | | | | 
% 44.27/9.07  | | | | Case 2:
% 44.27/9.07  | | | | | 
% 44.27/9.07  | | | | | 
% 44.27/9.07  | | | | | GROUND_INST: instantiating (27) with 0, all_164_1, all_17_0, all_17_0,
% 44.27/9.07  | | | | |              simplifying with (12), (13) gives:
% 44.27/9.07  | | | | |   (55)  all_164_1 = 0
% 44.27/9.07  | | | | | 
% 44.27/9.07  | | | | | GROUND_INST: instantiating (27) with 0, all_186_1, all_17_0, all_17_0,
% 44.27/9.07  | | | | |              simplifying with (12), (22) gives:
% 44.27/9.07  | | | | |   (56)  all_186_1 = 0
% 44.27/9.07  | | | | | 
% 44.27/9.07  | | | | | GROUND_INST: instantiating (33) with all_71_1, all_59_1, d, d,
% 44.27/9.07  | | | | |              all_17_0, simplifying with (7), (37) gives:
% 44.27/9.07  | | | | |   (57)  all_71_1 = all_59_1
% 44.27/9.07  | | | | | 
% 44.27/9.07  | | | | | GROUND_INST: instantiating (35) with all_59_0, all_186_0, all_52_0,
% 44.27/9.07  | | | | |              all_17_0, simplifying with (31), (34) gives:
% 44.27/9.07  | | | | |   (58)  all_186_0 = all_59_0
% 44.27/9.07  | | | | | 
% 44.27/9.07  | | | | | BETA: splitting (16) gives:
% 44.27/9.07  | | | | | 
% 44.27/9.07  | | | | | Case 1:
% 44.27/9.07  | | | | | | 
% 44.27/9.07  | | | | | |   (59)   ~ (all_164_1 = 0)
% 44.27/9.07  | | | | | | 
% 44.27/9.07  | | | | | | REDUCE: (55), (59) imply:
% 44.27/9.07  | | | | | |   (60)  $false
% 44.27/9.07  | | | | | | 
% 44.27/9.07  | | | | | | CLOSE: (60) is inconsistent.
% 44.27/9.07  | | | | | | 
% 44.27/9.07  | | | | | Case 2:
% 44.27/9.07  | | | | | | 
% 44.27/9.07  | | | | | |   (61)  all_164_0 = 0 & all_71_1 = 0
% 44.27/9.07  | | | | | | 
% 44.27/9.07  | | | | | | ALPHA: (61) implies:
% 44.27/9.07  | | | | | |   (62)  all_71_1 = 0
% 44.27/9.07  | | | | | | 
% 44.27/9.07  | | | | | | COMBINE_EQS: (57), (62) imply:
% 44.27/9.07  | | | | | |   (63)  all_59_1 = 0
% 44.27/9.07  | | | | | | 
% 44.27/9.07  | | | | | | SIMP: (63) implies:
% 44.27/9.07  | | | | | |   (64)  all_59_1 = 0
% 44.27/9.07  | | | | | | 
% 44.27/9.07  | | | | | | BETA: splitting (1) gives:
% 44.27/9.07  | | | | | | 
% 44.27/9.07  | | | | | | Case 1:
% 44.27/9.07  | | | | | | | 
% 44.27/9.07  | | | | | | |   (65)   ~ (all_59_0 = 0)
% 44.27/9.07  | | | | | | | 
% 44.27/9.07  | | | | | | | BETA: splitting (19) gives:
% 44.27/9.07  | | | | | | | 
% 44.27/9.07  | | | | | | | Case 1:
% 44.27/9.07  | | | | | | | | 
% 44.27/9.07  | | | | | | | |   (66)   ~ (all_186_1 = 0)
% 44.27/9.07  | | | | | | | | 
% 44.27/9.07  | | | | | | | | REDUCE: (56), (66) imply:
% 44.27/9.07  | | | | | | | |   (67)  $false
% 44.27/9.07  | | | | | | | | 
% 44.27/9.07  | | | | | | | | CLOSE: (67) is inconsistent.
% 44.27/9.07  | | | | | | | | 
% 44.27/9.07  | | | | | | | Case 2:
% 44.27/9.07  | | | | | | | | 
% 44.27/9.07  | | | | | | | |   (68)  all_186_0 = 0 & all_81_1 = 0
% 44.27/9.07  | | | | | | | | 
% 44.27/9.07  | | | | | | | | ALPHA: (68) implies:
% 44.27/9.07  | | | | | | | |   (69)  all_186_0 = 0
% 44.27/9.07  | | | | | | | | 
% 44.27/9.07  | | | | | | | | COMBINE_EQS: (58), (69) imply:
% 44.27/9.07  | | | | | | | |   (70)  all_59_0 = 0
% 44.27/9.07  | | | | | | | | 
% 44.27/9.07  | | | | | | | | REDUCE: (65), (70) imply:
% 44.27/9.07  | | | | | | | |   (71)  $false
% 44.27/9.07  | | | | | | | | 
% 44.27/9.07  | | | | | | | | CLOSE: (71) is inconsistent.
% 44.27/9.07  | | | | | | | | 
% 44.27/9.07  | | | | | | | End of split
% 44.27/9.07  | | | | | | | 
% 44.27/9.07  | | | | | | Case 2:
% 44.27/9.07  | | | | | | | 
% 44.27/9.07  | | | | | | |   (72)   ~ (all_59_1 = 0) |  ~ (all_59_2 = 0)
% 44.27/9.07  | | | | | | | 
% 44.27/9.07  | | | | | | | BETA: splitting (72) gives:
% 44.27/9.07  | | | | | | | 
% 44.27/9.07  | | | | | | | Case 1:
% 44.27/9.07  | | | | | | | | 
% 44.27/9.07  | | | | | | | |   (73)   ~ (all_59_1 = 0)
% 44.27/9.07  | | | | | | | | 
% 44.27/9.07  | | | | | | | | REDUCE: (64), (73) imply:
% 44.27/9.07  | | | | | | | |   (74)  $false
% 44.27/9.07  | | | | | | | | 
% 44.27/9.07  | | | | | | | | CLOSE: (74) is inconsistent.
% 44.27/9.07  | | | | | | | | 
% 44.27/9.07  | | | | | | | Case 2:
% 44.27/9.07  | | | | | | | | 
% 44.27/9.07  | | | | | | | |   (75)   ~ (all_59_2 = 0)
% 44.27/9.07  | | | | | | | | 
% 44.27/9.07  | | | | | | | | REF_CLOSE: (3), (5), (6), (8), (10), (11), (12), (13), (14),
% 44.27/9.07  | | | | | | | |            (15), (17), (18), (20), (21), (22), (23), (25), (27),
% 44.27/9.07  | | | | | | | |            (28), (29), (30), (32), (36), (39), (44), (48), (52),
% 44.27/9.07  | | | | | | | |            (75) are inconsistent by sub-proof #3.
% 44.27/9.07  | | | | | | | | 
% 44.27/9.07  | | | | | | | End of split
% 44.27/9.07  | | | | | | | 
% 44.27/9.07  | | | | | | End of split
% 44.27/9.07  | | | | | | 
% 44.27/9.07  | | | | | End of split
% 44.27/9.07  | | | | | 
% 44.27/9.07  | | | | End of split
% 44.27/9.07  | | | | 
% 44.27/9.07  | | | End of split
% 44.27/9.07  | | | 
% 44.27/9.07  | | End of split
% 44.27/9.07  | | 
% 44.27/9.07  | End of split
% 44.27/9.07  | 
% 44.27/9.07  End of proof
% 44.27/9.07  
% 44.27/9.07  Sub-proof #2 shows that the following formulas are inconsistent:
% 44.27/9.07  ----------------------------------------------------------------
% 44.27/9.07    (1)  $ki_accessible(all_17_0, all_17_0) = all_239_2
% 44.27/9.07    (2)  open(all_50_1, d) = all_50_0
% 44.27/9.07    (3)  $ki_accessible(all_17_0, all_17_0) = all_174_1
% 44.27/9.07    (4)   ~ (all_50_0 = 0)
% 44.27/9.07    (5)  $ki_accessible(all_17_0, all_17_0) = all_59_2
% 44.27/9.07    (6)  $ki_accessible(all_17_0, all_17_0) = all_158_1
% 44.27/9.07    (7)  $ki_accessible(all_17_0, all_17_0) = all_182_1
% 44.27/9.07    (8)  (all_208_2 = 0 & open(all_50_1, d) = 0) | (h(all_17_0, all_205_0) =
% 44.27/9.07           all_208_0 & combo(all_17_0, d, all_75_0) = all_208_1 &
% 44.27/9.07           $ki_accessible(all_17_0, all_17_0) = all_208_2 & ( ~ (all_208_0 = 0) | 
% 44.27/9.07             ~ (all_208_1 = 0) |  ~ (all_208_2 = 0)))
% 44.27/9.07    (9)  $ki_accessible(all_17_0, all_17_0) = all_168_1
% 44.27/9.07    (10)  $ki_accessible(all_17_0, all_17_0) = all_172_1
% 44.27/9.07    (11)  $ki_accessible(all_17_0, all_17_0) = 0
% 44.27/9.07    (12)  $ki_accessible(all_17_0, all_17_0) = all_164_1
% 44.27/9.07    (13)  $ki_accessible(all_17_0, all_17_0) = all_264_2
% 44.27/9.07    (14)  $ki_accessible(all_17_0, all_17_0) = all_156_1
% 44.27/9.07    (15)  $ki_accessible(all_17_0, all_17_0) = all_184_1
% 44.27/9.07    (16)  $ki_accessible(all_17_0, all_17_0) = all_188_1
% 44.27/9.07    (17)  $ki_accessible(all_17_0, all_17_0) = all_166_1
% 44.27/9.07    (18)  $ki_accessible(all_17_0, all_17_0) = all_190_1
% 44.27/9.07    (19)  $ki_accessible(all_17_0, all_17_0) = all_176_1
% 44.27/9.07    (20)  $ki_accessible(all_17_0, all_17_0) = all_186_1
% 44.27/9.07    (21)  $ki_accessible(all_17_0, all_17_0) = all_154_1
% 44.27/9.07    (22)  $ki_accessible(all_17_0, all_17_0) = all_170_1
% 44.27/9.07    (23)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 44.27/9.07            $ki_world] :  ! [v3: $ki_world] : (v1 = v0 |  ~ ($ki_accessible(v3,
% 44.27/9.07                v2) = v1) |  ~ ($ki_accessible(v3, v2) = v0))
% 44.27/9.07    (24)  $ki_accessible(all_17_0, all_17_0) = all_106_2
% 44.27/9.07    (25)  $ki_accessible(all_17_0, all_17_0) = all_160_1
% 44.27/9.07    (26)   ~ (all_59_2 = 0)
% 44.27/9.07    (27)  $ki_accessible(all_17_0, all_17_0) = all_180_1
% 44.27/9.07    (28)  $ki_accessible(all_17_0, all_17_0) = all_152_1
% 44.27/9.07    (29)  $ki_accessible(all_17_0, all_17_0) = all_162_1
% 44.27/9.07    (30)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : 
% 44.27/9.07          ! [v3: $ki_world] : (v1 = v0 |  ~ (open(v3, v2) = v1) |  ~ (open(v3, v2)
% 44.27/9.07              = v0))
% 44.27/9.07    (31)  $ki_accessible(all_17_0, all_17_0) = all_178_1
% 44.27/9.07  
% 44.27/9.07  Begin of proof
% 44.27/9.07  | 
% 44.27/9.07  | BETA: splitting (8) gives:
% 44.27/9.07  | 
% 44.27/9.07  | Case 1:
% 44.27/9.07  | | 
% 44.27/9.07  | |   (32)  all_208_2 = 0 & open(all_50_1, d) = 0
% 44.27/9.07  | | 
% 44.27/9.07  | | ALPHA: (32) implies:
% 44.27/9.07  | |   (33)  open(all_50_1, d) = 0
% 44.27/9.07  | | 
% 44.27/9.07  | | REF_CLOSE: (2), (4), (30), (33) are inconsistent by sub-proof #4.
% 44.27/9.07  | | 
% 44.27/9.07  | Case 2:
% 44.27/9.07  | | 
% 44.27/9.07  | |   (34)  h(all_17_0, all_205_0) = all_208_0 & combo(all_17_0, d, all_75_0) =
% 44.27/9.07  | |         all_208_1 & $ki_accessible(all_17_0, all_17_0) = all_208_2 & ( ~
% 44.27/9.07  | |           (all_208_0 = 0) |  ~ (all_208_1 = 0) |  ~ (all_208_2 = 0))
% 44.27/9.07  | | 
% 44.27/9.07  | | ALPHA: (34) implies:
% 44.27/9.07  | |   (35)  $ki_accessible(all_17_0, all_17_0) = all_208_2
% 44.27/9.07  | | 
% 44.27/9.07  | | REF_CLOSE: (1), (3), (5), (6), (7), (9), (10), (11), (12), (13), (14), (15),
% 44.27/9.07  | |            (16), (17), (18), (19), (20), (21), (22), (23), (24), (25), (26),
% 44.27/9.07  | |            (27), (28), (29), (31), (35) are inconsistent by sub-proof #3.
% 44.27/9.07  | | 
% 44.27/9.07  | End of split
% 44.27/9.07  | 
% 44.27/9.07  End of proof
% 44.27/9.07  
% 44.27/9.07  Sub-proof #3 shows that the following formulas are inconsistent:
% 44.27/9.07  ----------------------------------------------------------------
% 44.27/9.07    (1)  $ki_accessible(all_17_0, all_17_0) = all_239_2
% 44.27/9.07    (2)  $ki_accessible(all_17_0, all_17_0) = all_174_1
% 44.27/9.07    (3)  $ki_accessible(all_17_0, all_17_0) = all_59_2
% 44.27/9.07    (4)  $ki_accessible(all_17_0, all_17_0) = all_158_1
% 44.27/9.07    (5)  $ki_accessible(all_17_0, all_17_0) = all_182_1
% 44.27/9.07    (6)  $ki_accessible(all_17_0, all_17_0) = all_168_1
% 44.27/9.07    (7)  $ki_accessible(all_17_0, all_17_0) = all_172_1
% 44.27/9.07    (8)  $ki_accessible(all_17_0, all_17_0) = 0
% 44.27/9.07    (9)  $ki_accessible(all_17_0, all_17_0) = all_164_1
% 44.27/9.07    (10)  $ki_accessible(all_17_0, all_17_0) = all_208_2
% 44.27/9.07    (11)  $ki_accessible(all_17_0, all_17_0) = all_264_2
% 44.27/9.07    (12)  $ki_accessible(all_17_0, all_17_0) = all_156_1
% 44.27/9.07    (13)  $ki_accessible(all_17_0, all_17_0) = all_184_1
% 44.27/9.07    (14)  $ki_accessible(all_17_0, all_17_0) = all_188_1
% 44.27/9.07    (15)  $ki_accessible(all_17_0, all_17_0) = all_166_1
% 44.27/9.07    (16)  $ki_accessible(all_17_0, all_17_0) = all_190_1
% 44.27/9.07    (17)  $ki_accessible(all_17_0, all_17_0) = all_176_1
% 44.27/9.07    (18)  $ki_accessible(all_17_0, all_17_0) = all_186_1
% 44.27/9.07    (19)  $ki_accessible(all_17_0, all_17_0) = all_154_1
% 44.27/9.08    (20)  $ki_accessible(all_17_0, all_17_0) = all_170_1
% 44.27/9.08    (21)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 44.27/9.08            $ki_world] :  ! [v3: $ki_world] : (v1 = v0 |  ~ ($ki_accessible(v3,
% 44.27/9.08                v2) = v1) |  ~ ($ki_accessible(v3, v2) = v0))
% 44.27/9.08    (22)  $ki_accessible(all_17_0, all_17_0) = all_106_2
% 44.27/9.08    (23)  $ki_accessible(all_17_0, all_17_0) = all_160_1
% 44.27/9.08    (24)   ~ (all_59_2 = 0)
% 44.27/9.08    (25)  $ki_accessible(all_17_0, all_17_0) = all_180_1
% 44.27/9.08    (26)  $ki_accessible(all_17_0, all_17_0) = all_152_1
% 44.27/9.08    (27)  $ki_accessible(all_17_0, all_17_0) = all_162_1
% 44.27/9.08    (28)  $ki_accessible(all_17_0, all_17_0) = all_178_1
% 44.27/9.08  
% 44.27/9.08  Begin of proof
% 44.27/9.08  | 
% 44.27/9.08  | GROUND_INST: instantiating (21) with all_156_1, all_170_1, all_17_0, all_17_0,
% 44.27/9.08  |              simplifying with (12), (20) gives:
% 44.27/9.08  |   (29)  all_170_1 = all_156_1
% 44.27/9.08  | 
% 44.27/9.08  | GROUND_INST: instantiating (21) with all_152_1, all_170_1, all_17_0, all_17_0,
% 44.27/9.08  |              simplifying with (20), (26) gives:
% 44.27/9.08  |   (30)  all_170_1 = all_152_1
% 44.27/9.08  | 
% 44.27/9.08  | GROUND_INST: instantiating (21) with all_106_2, all_170_1, all_17_0, all_17_0,
% 44.27/9.08  |              simplifying with (20), (22) gives:
% 44.27/9.08  |   (31)  all_170_1 = all_106_2
% 44.27/9.08  | 
% 44.27/9.08  | GROUND_INST: instantiating (21) with all_164_1, all_178_1, all_17_0, all_17_0,
% 44.27/9.08  |              simplifying with (9), (28) gives:
% 44.27/9.08  |   (32)  all_178_1 = all_164_1
% 44.27/9.08  | 
% 44.27/9.08  | GROUND_INST: instantiating (21) with all_162_1, all_178_1, all_17_0, all_17_0,
% 44.27/9.08  |              simplifying with (27), (28) gives:
% 44.27/9.08  |   (33)  all_178_1 = all_162_1
% 44.27/9.08  | 
% 44.27/9.08  | GROUND_INST: instantiating (21) with all_174_1, all_180_1, all_17_0, all_17_0,
% 44.27/9.08  |              simplifying with (2), (25) gives:
% 44.27/9.08  |   (34)  all_180_1 = all_174_1
% 44.27/9.08  | 
% 44.27/9.08  | GROUND_INST: instantiating (21) with all_170_1, all_180_1, all_17_0, all_17_0,
% 44.27/9.08  |              simplifying with (20), (25) gives:
% 44.27/9.08  |   (35)  all_180_1 = all_170_1
% 44.27/9.08  | 
% 44.27/9.08  | GROUND_INST: instantiating (21) with all_166_1, all_180_1, all_17_0, all_17_0,
% 44.27/9.08  |              simplifying with (15), (25) gives:
% 44.27/9.08  |   (36)  all_180_1 = all_166_1
% 44.27/9.08  | 
% 44.27/9.08  | GROUND_INST: instantiating (21) with all_172_1, all_182_1, all_17_0, all_17_0,
% 44.27/9.08  |              simplifying with (5), (7) gives:
% 44.27/9.08  |   (37)  all_182_1 = all_172_1
% 44.27/9.08  | 
% 44.27/9.08  | GROUND_INST: instantiating (21) with all_170_1, all_182_1, all_17_0, all_17_0,
% 44.27/9.08  |              simplifying with (5), (20) gives:
% 44.27/9.08  |   (38)  all_182_1 = all_170_1
% 44.27/9.08  | 
% 44.27/9.08  | GROUND_INST: instantiating (21) with all_168_1, all_182_1, all_17_0, all_17_0,
% 44.27/9.08  |              simplifying with (5), (6) gives:
% 44.27/9.08  |   (39)  all_182_1 = all_168_1
% 44.27/9.08  | 
% 44.27/9.08  | GROUND_INST: instantiating (21) with all_172_1, all_184_1, all_17_0, all_17_0,
% 44.27/9.08  |              simplifying with (7), (13) gives:
% 44.27/9.08  |   (40)  all_184_1 = all_172_1
% 44.27/9.08  | 
% 44.27/9.08  | GROUND_INST: instantiating (21) with all_178_1, all_186_1, all_17_0, all_17_0,
% 44.27/9.08  |              simplifying with (18), (28) gives:
% 44.27/9.08  |   (41)  all_186_1 = all_178_1
% 44.27/9.08  | 
% 44.27/9.08  | GROUND_INST: instantiating (21) with all_176_1, all_186_1, all_17_0, all_17_0,
% 44.27/9.08  |              simplifying with (17), (18) gives:
% 44.27/9.08  |   (42)  all_186_1 = all_176_1
% 44.27/9.08  | 
% 44.27/9.08  | GROUND_INST: instantiating (21) with all_184_1, all_188_1, all_17_0, all_17_0,
% 44.27/9.08  |              simplifying with (13), (14) gives:
% 44.27/9.08  |   (43)  all_188_1 = all_184_1
% 44.27/9.08  | 
% 44.27/9.08  | GROUND_INST: instantiating (21) with all_160_1, all_188_1, all_17_0, all_17_0,
% 44.27/9.08  |              simplifying with (14), (23) gives:
% 44.27/9.08  |   (44)  all_188_1 = all_160_1
% 44.27/9.08  | 
% 44.27/9.08  | GROUND_INST: instantiating (21) with all_186_1, all_190_1, all_17_0, all_17_0,
% 44.27/9.08  |              simplifying with (16), (18) gives:
% 44.27/9.08  |   (45)  all_190_1 = all_186_1
% 44.27/9.08  | 
% 44.27/9.08  | GROUND_INST: instantiating (21) with 0, all_190_1, all_17_0, all_17_0,
% 44.27/9.08  |              simplifying with (8), (16) gives:
% 44.27/9.08  |   (46)  all_190_1 = 0
% 44.27/9.08  | 
% 44.27/9.08  | GROUND_INST: instantiating (21) with all_178_1, all_208_2, all_17_0, all_17_0,
% 44.27/9.08  |              simplifying with (10), (28) gives:
% 44.27/9.08  |   (47)  all_208_2 = all_178_1
% 44.27/9.08  | 
% 44.27/9.08  | GROUND_INST: instantiating (21) with all_158_1, all_208_2, all_17_0, all_17_0,
% 44.27/9.08  |              simplifying with (4), (10) gives:
% 44.27/9.08  |   (48)  all_208_2 = all_158_1
% 44.27/9.08  | 
% 44.27/9.08  | GROUND_INST: instantiating (21) with all_152_1, all_208_2, all_17_0, all_17_0,
% 44.27/9.08  |              simplifying with (10), (26) gives:
% 44.27/9.08  |   (49)  all_208_2 = all_152_1
% 44.27/9.08  | 
% 44.27/9.08  | GROUND_INST: instantiating (21) with all_170_1, all_239_2, all_17_0, all_17_0,
% 44.27/9.08  |              simplifying with (1), (20) gives:
% 44.27/9.08  |   (50)  all_239_2 = all_170_1
% 44.27/9.08  | 
% 44.27/9.08  | GROUND_INST: instantiating (21) with all_154_1, all_239_2, all_17_0, all_17_0,
% 44.27/9.08  |              simplifying with (1), (19) gives:
% 44.27/9.08  |   (51)  all_239_2 = all_154_1
% 44.27/9.08  | 
% 44.27/9.08  | GROUND_INST: instantiating (21) with all_170_1, all_264_2, all_17_0, all_17_0,
% 44.27/9.08  |              simplifying with (11), (20) gives:
% 44.27/9.08  |   (52)  all_264_2 = all_170_1
% 44.27/9.08  | 
% 44.27/9.08  | GROUND_INST: instantiating (21) with all_59_2, all_264_2, all_17_0, all_17_0,
% 44.27/9.08  |              simplifying with (3), (11) gives:
% 44.27/9.08  |   (53)  all_264_2 = all_59_2
% 44.27/9.08  | 
% 44.27/9.08  | COMBINE_EQS: (52), (53) imply:
% 44.27/9.08  |   (54)  all_170_1 = all_59_2
% 44.27/9.08  | 
% 44.27/9.08  | SIMP: (54) implies:
% 44.27/9.08  |   (55)  all_170_1 = all_59_2
% 44.27/9.08  | 
% 44.27/9.08  | COMBINE_EQS: (50), (51) imply:
% 44.27/9.08  |   (56)  all_170_1 = all_154_1
% 44.27/9.08  | 
% 44.27/9.08  | SIMP: (56) implies:
% 44.27/9.08  |   (57)  all_170_1 = all_154_1
% 44.27/9.08  | 
% 44.27/9.08  | COMBINE_EQS: (47), (48) imply:
% 44.27/9.08  |   (58)  all_178_1 = all_158_1
% 44.27/9.08  | 
% 44.27/9.08  | SIMP: (58) implies:
% 44.27/9.08  |   (59)  all_178_1 = all_158_1
% 44.27/9.08  | 
% 44.27/9.08  | COMBINE_EQS: (48), (49) imply:
% 44.27/9.08  |   (60)  all_158_1 = all_152_1
% 44.27/9.08  | 
% 44.27/9.08  | COMBINE_EQS: (45), (46) imply:
% 44.27/9.08  |   (61)  all_186_1 = 0
% 44.27/9.08  | 
% 44.27/9.08  | SIMP: (61) implies:
% 44.27/9.08  |   (62)  all_186_1 = 0
% 44.27/9.08  | 
% 44.27/9.08  | COMBINE_EQS: (43), (44) imply:
% 44.27/9.08  |   (63)  all_184_1 = all_160_1
% 44.27/9.08  | 
% 44.27/9.08  | SIMP: (63) implies:
% 44.27/9.08  |   (64)  all_184_1 = all_160_1
% 44.27/9.08  | 
% 44.27/9.08  | COMBINE_EQS: (42), (62) imply:
% 44.27/9.08  |   (65)  all_176_1 = 0
% 44.27/9.08  | 
% 44.27/9.08  | COMBINE_EQS: (41), (42) imply:
% 44.27/9.08  |   (66)  all_178_1 = all_176_1
% 44.27/9.08  | 
% 44.27/9.08  | SIMP: (66) implies:
% 44.27/9.08  |   (67)  all_178_1 = all_176_1
% 44.27/9.08  | 
% 44.27/9.08  | COMBINE_EQS: (40), (64) imply:
% 44.27/9.08  |   (68)  all_172_1 = all_160_1
% 44.27/9.08  | 
% 44.27/9.08  | SIMP: (68) implies:
% 44.27/9.08  |   (69)  all_172_1 = all_160_1
% 44.27/9.08  | 
% 44.27/9.08  | COMBINE_EQS: (38), (39) imply:
% 44.27/9.08  |   (70)  all_170_1 = all_168_1
% 44.27/9.08  | 
% 44.27/9.08  | SIMP: (70) implies:
% 44.27/9.08  |   (71)  all_170_1 = all_168_1
% 44.27/9.08  | 
% 44.27/9.08  | COMBINE_EQS: (37), (39) imply:
% 44.27/9.08  |   (72)  all_172_1 = all_168_1
% 44.27/9.08  | 
% 44.27/9.08  | SIMP: (72) implies:
% 44.27/9.08  |   (73)  all_172_1 = all_168_1
% 44.27/9.08  | 
% 44.27/9.08  | COMBINE_EQS: (34), (36) imply:
% 44.98/9.08  |   (74)  all_174_1 = all_166_1
% 44.98/9.08  | 
% 44.98/9.08  | COMBINE_EQS: (34), (35) imply:
% 44.98/9.08  |   (75)  all_174_1 = all_170_1
% 44.98/9.08  | 
% 44.98/9.08  | COMBINE_EQS: (32), (59) imply:
% 44.98/9.08  |   (76)  all_164_1 = all_158_1
% 44.98/9.08  | 
% 44.98/9.08  | COMBINE_EQS: (32), (67) imply:
% 44.98/9.08  |   (77)  all_176_1 = all_164_1
% 44.98/9.08  | 
% 44.98/9.08  | SIMP: (77) implies:
% 44.98/9.08  |   (78)  all_176_1 = all_164_1
% 44.98/9.08  | 
% 44.98/9.08  | COMBINE_EQS: (32), (33) imply:
% 44.98/9.08  |   (79)  all_164_1 = all_162_1
% 44.98/9.08  | 
% 44.98/9.08  | COMBINE_EQS: (65), (78) imply:
% 44.98/9.08  |   (80)  all_164_1 = 0
% 44.98/9.08  | 
% 44.98/9.08  | SIMP: (80) implies:
% 44.98/9.08  |   (81)  all_164_1 = 0
% 44.98/9.08  | 
% 44.98/9.08  | COMBINE_EQS: (74), (75) imply:
% 44.98/9.08  |   (82)  all_170_1 = all_166_1
% 44.98/9.08  | 
% 44.98/9.08  | SIMP: (82) implies:
% 44.98/9.08  |   (83)  all_170_1 = all_166_1
% 44.98/9.08  | 
% 44.98/9.08  | COMBINE_EQS: (69), (73) imply:
% 44.98/9.08  |   (84)  all_168_1 = all_160_1
% 44.98/9.08  | 
% 44.98/9.08  | SIMP: (84) implies:
% 44.98/9.08  |   (85)  all_168_1 = all_160_1
% 44.98/9.08  | 
% 44.98/9.08  | COMBINE_EQS: (31), (83) imply:
% 44.98/9.08  |   (86)  all_166_1 = all_106_2
% 44.98/9.08  | 
% 44.98/9.08  | COMBINE_EQS: (57), (83) imply:
% 44.98/9.08  |   (87)  all_166_1 = all_154_1
% 44.98/9.08  | 
% 44.98/9.08  | COMBINE_EQS: (29), (83) imply:
% 44.98/9.08  |   (88)  all_166_1 = all_156_1
% 44.98/9.08  | 
% 44.98/9.08  | COMBINE_EQS: (30), (83) imply:
% 44.98/9.08  |   (89)  all_166_1 = all_152_1
% 44.98/9.08  | 
% 44.98/9.08  | COMBINE_EQS: (55), (83) imply:
% 44.98/9.08  |   (90)  all_166_1 = all_59_2
% 44.98/9.08  | 
% 44.98/9.08  | COMBINE_EQS: (71), (83) imply:
% 44.98/9.08  |   (91)  all_168_1 = all_166_1
% 44.98/9.08  | 
% 44.98/9.08  | SIMP: (91) implies:
% 44.98/9.08  |   (92)  all_168_1 = all_166_1
% 44.98/9.08  | 
% 44.98/9.08  | COMBINE_EQS: (85), (92) imply:
% 44.98/9.08  |   (93)  all_166_1 = all_160_1
% 44.98/9.08  | 
% 44.98/9.08  | SIMP: (93) implies:
% 44.98/9.08  |   (94)  all_166_1 = all_160_1
% 44.98/9.08  | 
% 44.98/9.08  | COMBINE_EQS: (88), (94) imply:
% 44.98/9.08  |   (95)  all_160_1 = all_156_1
% 44.98/9.08  | 
% 44.98/9.08  | COMBINE_EQS: (87), (94) imply:
% 44.98/9.08  |   (96)  all_160_1 = all_154_1
% 44.98/9.08  | 
% 44.98/9.08  | COMBINE_EQS: (90), (94) imply:
% 44.98/9.08  |   (97)  all_160_1 = all_59_2
% 44.98/9.08  | 
% 44.98/9.08  | COMBINE_EQS: (86), (94) imply:
% 44.98/9.08  |   (98)  all_160_1 = all_106_2
% 44.98/9.08  | 
% 44.98/9.08  | COMBINE_EQS: (89), (94) imply:
% 44.98/9.08  |   (99)  all_160_1 = all_152_1
% 44.98/9.08  | 
% 44.98/9.08  | COMBINE_EQS: (76), (79) imply:
% 44.98/9.08  |   (100)  all_162_1 = all_158_1
% 44.98/9.08  | 
% 44.98/9.08  | COMBINE_EQS: (79), (81) imply:
% 44.98/9.08  |   (101)  all_162_1 = 0
% 44.98/9.08  | 
% 44.98/9.08  | COMBINE_EQS: (100), (101) imply:
% 44.98/9.09  |   (102)  all_158_1 = 0
% 44.98/9.09  | 
% 44.98/9.09  | SIMP: (102) implies:
% 44.98/9.09  |   (103)  all_158_1 = 0
% 44.98/9.09  | 
% 44.98/9.09  | COMBINE_EQS: (95), (98) imply:
% 44.98/9.09  |   (104)  all_156_1 = all_106_2
% 44.98/9.09  | 
% 44.98/9.09  | COMBINE_EQS: (95), (96) imply:
% 44.98/9.09  |   (105)  all_156_1 = all_154_1
% 44.98/9.09  | 
% 44.98/9.09  | COMBINE_EQS: (95), (97) imply:
% 44.98/9.09  |   (106)  all_156_1 = all_59_2
% 44.98/9.09  | 
% 44.98/9.09  | COMBINE_EQS: (95), (99) imply:
% 44.98/9.09  |   (107)  all_156_1 = all_152_1
% 44.98/9.09  | 
% 44.98/9.09  | COMBINE_EQS: (60), (103) imply:
% 44.98/9.09  |   (108)  all_152_1 = 0
% 44.98/9.09  | 
% 44.98/9.09  | SIMP: (108) implies:
% 44.98/9.09  |   (109)  all_152_1 = 0
% 44.98/9.09  | 
% 44.98/9.09  | COMBINE_EQS: (105), (106) imply:
% 44.98/9.09  |   (110)  all_154_1 = all_59_2
% 44.98/9.09  | 
% 44.98/9.09  | COMBINE_EQS: (105), (107) imply:
% 44.98/9.09  |   (111)  all_154_1 = all_152_1
% 44.98/9.09  | 
% 44.98/9.09  | COMBINE_EQS: (104), (105) imply:
% 44.98/9.09  |   (112)  all_154_1 = all_106_2
% 44.98/9.09  | 
% 44.98/9.09  | COMBINE_EQS: (111), (112) imply:
% 44.98/9.09  |   (113)  all_152_1 = all_106_2
% 44.98/9.09  | 
% 44.98/9.09  | SIMP: (113) implies:
% 44.98/9.09  |   (114)  all_152_1 = all_106_2
% 44.98/9.09  | 
% 44.98/9.09  | COMBINE_EQS: (110), (112) imply:
% 44.98/9.09  |   (115)  all_106_2 = all_59_2
% 44.98/9.09  | 
% 44.98/9.09  | COMBINE_EQS: (109), (114) imply:
% 44.98/9.09  |   (116)  all_106_2 = 0
% 44.98/9.09  | 
% 44.98/9.09  | SIMP: (116) implies:
% 44.98/9.09  |   (117)  all_106_2 = 0
% 44.98/9.09  | 
% 44.98/9.09  | COMBINE_EQS: (115), (117) imply:
% 44.98/9.09  |   (118)  all_59_2 = 0
% 44.98/9.09  | 
% 44.98/9.09  | SIMP: (118) implies:
% 44.98/9.09  |   (119)  all_59_2 = 0
% 44.98/9.09  | 
% 44.98/9.09  | REDUCE: (24), (119) imply:
% 44.98/9.09  |   (120)  $false
% 44.98/9.09  | 
% 44.98/9.09  | CLOSE: (120) is inconsistent.
% 44.98/9.09  | 
% 44.98/9.09  End of proof
% 44.98/9.09  
% 44.98/9.09  Sub-proof #4 shows that the following formulas are inconsistent:
% 44.98/9.09  ----------------------------------------------------------------
% 44.98/9.09    (1)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : 
% 44.98/9.09         ! [v3: $ki_world] : (v1 = v0 |  ~ (open(v3, v2) = v1) |  ~ (open(v3, v2)
% 44.98/9.09             = v0))
% 44.98/9.09    (2)  open(all_50_1, d) = all_50_0
% 44.98/9.09    (3)  open(all_50_1, d) = 0
% 44.98/9.09    (4)   ~ (all_50_0 = 0)
% 44.98/9.09  
% 44.98/9.09  Begin of proof
% 44.98/9.09  | 
% 44.98/9.09  | GROUND_INST: instantiating (1) with all_50_0, 0, d, all_50_1, simplifying with
% 44.98/9.09  |              (2), (3) gives:
% 44.98/9.09  |   (5)  all_50_0 = 0
% 44.98/9.09  | 
% 44.98/9.09  | REDUCE: (4), (5) imply:
% 44.98/9.09  |   (6)  $false
% 44.98/9.09  | 
% 44.98/9.09  | CLOSE: (6) is inconsistent.
% 44.98/9.09  | 
% 44.98/9.09  End of proof
% 44.98/9.09  % SZS output end Proof for theBenchmark
% 44.98/9.09  
% 44.98/9.09  8441ms
%------------------------------------------------------------------------------