TSTP Solution File: NLP117+1 by Princess---230619

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : NLP117+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s

% Computer : n004.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 10:04:01 EDT 2023

% Result   : Theorem 5.93s 1.60s
% Output   : Proof 8.93s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : NLP117+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.14/0.35  % Computer : n004.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu Aug 24 12:46:53 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.21/0.63  ________       _____
% 0.21/0.63  ___  __ \_________(_)________________________________
% 0.21/0.63  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.21/0.63  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.21/0.63  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.21/0.63  
% 0.21/0.63  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.21/0.63  (2023-06-19)
% 0.21/0.63  
% 0.21/0.63  (c) Philipp Rümmer, 2009-2023
% 0.21/0.63  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.21/0.63                Amanda Stjerna.
% 0.21/0.63  Free software under BSD-3-Clause.
% 0.21/0.63  
% 0.21/0.63  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.21/0.63  
% 0.21/0.63  Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.21/0.64  Running up to 7 provers in parallel.
% 0.21/0.65  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.21/0.65  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.21/0.65  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.21/0.65  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.21/0.65  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.21/0.65  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.21/0.65  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.56/1.09  Prover 1: Preprocessing ...
% 2.56/1.09  Prover 4: Preprocessing ...
% 2.56/1.13  Prover 2: Preprocessing ...
% 2.56/1.13  Prover 3: Preprocessing ...
% 2.56/1.13  Prover 5: Preprocessing ...
% 2.56/1.13  Prover 6: Preprocessing ...
% 2.56/1.13  Prover 0: Preprocessing ...
% 4.25/1.34  Prover 2: Constructing countermodel ...
% 4.25/1.34  Prover 5: Constructing countermodel ...
% 4.85/1.51  Prover 3: Constructing countermodel ...
% 4.85/1.52  Prover 6: Proving ...
% 5.73/1.58  Prover 1: Constructing countermodel ...
% 5.73/1.58  Prover 2: proved (932ms)
% 5.93/1.60  
% 5.93/1.60  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.93/1.60  
% 5.93/1.60  Prover 5: proved (943ms)
% 5.93/1.60  
% 5.93/1.60  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.93/1.60  
% 5.93/1.61  Prover 3: stopped
% 5.93/1.62  Prover 6: stopped
% 5.93/1.62  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 5.93/1.62  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 5.93/1.62  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 5.93/1.62  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 6.22/1.66  Prover 8: Preprocessing ...
% 6.22/1.67  Prover 7: Preprocessing ...
% 6.22/1.67  Prover 11: Preprocessing ...
% 6.22/1.67  Prover 10: Preprocessing ...
% 6.72/1.74  Prover 7: Constructing countermodel ...
% 6.72/1.74  Prover 10: Constructing countermodel ...
% 7.17/1.80  Prover 7: Found proof (size 9)
% 7.17/1.81  Prover 7: proved (204ms)
% 7.17/1.81  Prover 1: stopped
% 7.17/1.81  Prover 10: stopped
% 7.86/1.88  Prover 8: Warning: ignoring some quantifiers
% 7.86/1.88  Prover 8: Constructing countermodel ...
% 8.12/1.89  Prover 8: stopped
% 8.41/1.95  Prover 4: stopped
% 8.41/1.96  Prover 0: stopped
% 8.41/2.04  Prover 11: stopped
% 8.41/2.04  
% 8.41/2.04  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.41/2.04  
% 8.41/2.04  % SZS output start Proof for theBenchmark
% 8.41/2.04  Assumptions after simplification:
% 8.41/2.04  ---------------------------------
% 8.41/2.04  
% 8.41/2.05    (co1)
% 8.41/2.06     ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] :  ? [v5:
% 8.41/2.06      $i] : ($i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ((in(v0, v5,
% 8.41/2.06            v1) & down(v0, v5, v4) & barrel(v0, v5) & present(v0, v5) & agent(v0,
% 8.41/2.06            v5, v3) & event(v0, v5) & lonely(v0, v4) & street(v0, v4) & old(v0,
% 8.41/2.06            v3) & dirty(v0, v3) & white(v0, v3) & chevy(v0, v3) & placename(v0,
% 8.41/2.06            v2) & hollywood_placename(v0, v2) & city(v0, v1) & of(v0, v2, v1) &
% 8.41/2.06          actual_world(v0) &  ! [v6: $i] :  ! [v7: $i] :  ! [v8: $i] :  ! [v9: $i]
% 8.41/2.06          :  ! [v10: $i] :  ! [v11: $i] : ( ~ $i(v11) |  ~ $i(v10) |  ~ $i(v9) | 
% 8.41/2.06            ~ $i(v8) |  ~ $i(v7) |  ~ $i(v6) |  ~ in(v6, v11, v7) |  ~ down(v6,
% 8.41/2.06              v11, v9) |  ~ barrel(v6, v11) |  ~ present(v6, v11) |  ~ agent(v6,
% 8.41/2.06              v11, v10) |  ~ event(v6, v11) |  ~ lonely(v6, v9) |  ~ street(v6,
% 8.41/2.06              v9) |  ~ old(v6, v10) |  ~ dirty(v6, v10) |  ~ white(v6, v10) |  ~
% 8.41/2.06            chevy(v6, v10) |  ~ placename(v6, v8) |  ~ hollywood_placename(v6, v8)
% 8.41/2.06            |  ~ city(v6, v7) |  ~ of(v6, v8, v7) |  ~ actual_world(v6))) |
% 8.41/2.06        (in(v0, v5, v1) & down(v0, v5, v3) & barrel(v0, v5) & present(v0, v5) &
% 8.41/2.06          agent(v0, v5, v4) & event(v0, v5) & lonely(v0, v3) & street(v0, v3) &
% 8.41/2.06          old(v0, v4) & dirty(v0, v4) & white(v0, v4) & chevy(v0, v4) &
% 8.41/2.06          placename(v0, v2) & hollywood_placename(v0, v2) & city(v0, v1) & of(v0,
% 8.41/2.06            v2, v1) & actual_world(v0) &  ! [v6: $i] :  ! [v7: $i] :  ! [v8: $i] :
% 8.41/2.06           ! [v9: $i] :  ! [v10: $i] :  ! [v11: $i] : ( ~ $i(v11) |  ~ $i(v10) | 
% 8.41/2.06            ~ $i(v9) |  ~ $i(v8) |  ~ $i(v7) |  ~ $i(v6) |  ~ in(v6, v11, v7) |  ~
% 8.41/2.06            down(v6, v11, v10) |  ~ barrel(v6, v11) |  ~ present(v6, v11) |  ~
% 8.41/2.06            agent(v6, v11, v9) |  ~ event(v6, v11) |  ~ lonely(v6, v10) |  ~
% 8.41/2.06            street(v6, v10) |  ~ old(v6, v9) |  ~ dirty(v6, v9) |  ~ white(v6, v9)
% 8.41/2.06            |  ~ chevy(v6, v9) |  ~ placename(v6, v8) |  ~ hollywood_placename(v6,
% 8.41/2.06              v8) |  ~ city(v6, v7) |  ~ of(v6, v8, v7) |  ~ actual_world(v6)))))
% 8.41/2.06  
% 8.41/2.06  Those formulas are unsatisfiable:
% 8.41/2.06  ---------------------------------
% 8.41/2.06  
% 8.41/2.06  Begin of proof
% 8.41/2.06  | 
% 8.41/2.06  | DELTA: instantiating (co1) with fresh symbols all_2_0, all_2_1, all_2_2,
% 8.41/2.06  |        all_2_3, all_2_4, all_2_5 gives:
% 8.41/2.07  |   (1)  $i(all_2_0) & $i(all_2_1) & $i(all_2_2) & $i(all_2_3) & $i(all_2_4) &
% 8.41/2.07  |        $i(all_2_5) & ((in(all_2_5, all_2_0, all_2_4) & down(all_2_5, all_2_0,
% 8.41/2.07  |              all_2_1) & barrel(all_2_5, all_2_0) & present(all_2_5, all_2_0) &
% 8.41/2.07  |            agent(all_2_5, all_2_0, all_2_2) & event(all_2_5, all_2_0) &
% 8.41/2.07  |            lonely(all_2_5, all_2_1) & street(all_2_5, all_2_1) & old(all_2_5,
% 8.41/2.07  |              all_2_2) & dirty(all_2_5, all_2_2) & white(all_2_5, all_2_2) &
% 8.41/2.07  |            chevy(all_2_5, all_2_2) & placename(all_2_5, all_2_3) &
% 8.41/2.07  |            hollywood_placename(all_2_5, all_2_3) & city(all_2_5, all_2_4) &
% 8.41/2.07  |            of(all_2_5, all_2_3, all_2_4) & actual_world(all_2_5) &  ! [v0: $i]
% 8.41/2.07  |            :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] :  ! [v5:
% 8.41/2.07  |              $i] : ( ~ $i(v5) |  ~ $i(v4) |  ~ $i(v3) |  ~ $i(v2) |  ~ $i(v1)
% 8.41/2.07  |              |  ~ $i(v0) |  ~ in(v0, v5, v1) |  ~ down(v0, v5, v3) |  ~
% 8.41/2.07  |              barrel(v0, v5) |  ~ present(v0, v5) |  ~ agent(v0, v5, v4) |  ~
% 8.41/2.07  |              event(v0, v5) |  ~ lonely(v0, v3) |  ~ street(v0, v3) |  ~
% 8.41/2.07  |              old(v0, v4) |  ~ dirty(v0, v4) |  ~ white(v0, v4) |  ~ chevy(v0,
% 8.41/2.07  |                v4) |  ~ placename(v0, v2) |  ~ hollywood_placename(v0, v2) | 
% 8.41/2.07  |              ~ city(v0, v1) |  ~ of(v0, v2, v1) |  ~ actual_world(v0))) |
% 8.41/2.07  |          (in(all_2_5, all_2_0, all_2_4) & down(all_2_5, all_2_0, all_2_2) &
% 8.41/2.07  |            barrel(all_2_5, all_2_0) & present(all_2_5, all_2_0) &
% 8.41/2.07  |            agent(all_2_5, all_2_0, all_2_1) & event(all_2_5, all_2_0) &
% 8.41/2.07  |            lonely(all_2_5, all_2_2) & street(all_2_5, all_2_2) & old(all_2_5,
% 8.41/2.07  |              all_2_1) & dirty(all_2_5, all_2_1) & white(all_2_5, all_2_1) &
% 8.41/2.07  |            chevy(all_2_5, all_2_1) & placename(all_2_5, all_2_3) &
% 8.41/2.07  |            hollywood_placename(all_2_5, all_2_3) & city(all_2_5, all_2_4) &
% 8.41/2.07  |            of(all_2_5, all_2_3, all_2_4) & actual_world(all_2_5) &  ! [v0: $i]
% 8.41/2.07  |            :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] :  ! [v5:
% 8.41/2.07  |              $i] : ( ~ $i(v5) |  ~ $i(v4) |  ~ $i(v3) |  ~ $i(v2) |  ~ $i(v1)
% 8.41/2.07  |              |  ~ $i(v0) |  ~ in(v0, v5, v1) |  ~ down(v0, v5, v4) |  ~
% 8.41/2.07  |              barrel(v0, v5) |  ~ present(v0, v5) |  ~ agent(v0, v5, v3) |  ~
% 8.41/2.07  |              event(v0, v5) |  ~ lonely(v0, v4) |  ~ street(v0, v4) |  ~
% 8.41/2.07  |              old(v0, v3) |  ~ dirty(v0, v3) |  ~ white(v0, v3) |  ~ chevy(v0,
% 8.41/2.07  |                v3) |  ~ placename(v0, v2) |  ~ hollywood_placename(v0, v2) | 
% 8.41/2.07  |              ~ city(v0, v1) |  ~ of(v0, v2, v1) |  ~ actual_world(v0))))
% 8.41/2.07  | 
% 8.41/2.07  | ALPHA: (1) implies:
% 8.41/2.08  |   (2)  $i(all_2_5)
% 8.41/2.08  |   (3)  $i(all_2_4)
% 8.41/2.08  |   (4)  $i(all_2_3)
% 8.41/2.08  |   (5)  $i(all_2_2)
% 8.41/2.08  |   (6)  $i(all_2_1)
% 8.41/2.08  |   (7)  $i(all_2_0)
% 8.41/2.08  |   (8)  (in(all_2_5, all_2_0, all_2_4) & down(all_2_5, all_2_0, all_2_1) &
% 8.41/2.08  |          barrel(all_2_5, all_2_0) & present(all_2_5, all_2_0) & agent(all_2_5,
% 8.41/2.08  |            all_2_0, all_2_2) & event(all_2_5, all_2_0) & lonely(all_2_5,
% 8.41/2.08  |            all_2_1) & street(all_2_5, all_2_1) & old(all_2_5, all_2_2) &
% 8.41/2.08  |          dirty(all_2_5, all_2_2) & white(all_2_5, all_2_2) & chevy(all_2_5,
% 8.41/2.08  |            all_2_2) & placename(all_2_5, all_2_3) &
% 8.41/2.08  |          hollywood_placename(all_2_5, all_2_3) & city(all_2_5, all_2_4) &
% 8.41/2.08  |          of(all_2_5, all_2_3, all_2_4) & actual_world(all_2_5) &  ! [v0: $i] :
% 8.41/2.08  |           ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] :  ! [v5: $i] :
% 8.41/2.08  |          ( ~ $i(v5) |  ~ $i(v4) |  ~ $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~
% 8.41/2.08  |            $i(v0) |  ~ in(v0, v5, v1) |  ~ down(v0, v5, v3) |  ~ barrel(v0,
% 8.41/2.08  |              v5) |  ~ present(v0, v5) |  ~ agent(v0, v5, v4) |  ~ event(v0,
% 8.41/2.08  |              v5) |  ~ lonely(v0, v3) |  ~ street(v0, v3) |  ~ old(v0, v4) |  ~
% 8.41/2.08  |            dirty(v0, v4) |  ~ white(v0, v4) |  ~ chevy(v0, v4) |  ~
% 8.41/2.08  |            placename(v0, v2) |  ~ hollywood_placename(v0, v2) |  ~ city(v0,
% 8.41/2.08  |              v1) |  ~ of(v0, v2, v1) |  ~ actual_world(v0))) | (in(all_2_5,
% 8.41/2.08  |            all_2_0, all_2_4) & down(all_2_5, all_2_0, all_2_2) &
% 8.41/2.08  |          barrel(all_2_5, all_2_0) & present(all_2_5, all_2_0) & agent(all_2_5,
% 8.41/2.08  |            all_2_0, all_2_1) & event(all_2_5, all_2_0) & lonely(all_2_5,
% 8.41/2.08  |            all_2_2) & street(all_2_5, all_2_2) & old(all_2_5, all_2_1) &
% 8.41/2.08  |          dirty(all_2_5, all_2_1) & white(all_2_5, all_2_1) & chevy(all_2_5,
% 8.41/2.08  |            all_2_1) & placename(all_2_5, all_2_3) &
% 8.41/2.08  |          hollywood_placename(all_2_5, all_2_3) & city(all_2_5, all_2_4) &
% 8.41/2.08  |          of(all_2_5, all_2_3, all_2_4) & actual_world(all_2_5) &  ! [v0: $i] :
% 8.41/2.08  |           ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] :  ! [v5: $i] :
% 8.41/2.08  |          ( ~ $i(v5) |  ~ $i(v4) |  ~ $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~
% 8.41/2.08  |            $i(v0) |  ~ in(v0, v5, v1) |  ~ down(v0, v5, v4) |  ~ barrel(v0,
% 8.41/2.08  |              v5) |  ~ present(v0, v5) |  ~ agent(v0, v5, v3) |  ~ event(v0,
% 8.41/2.08  |              v5) |  ~ lonely(v0, v4) |  ~ street(v0, v4) |  ~ old(v0, v3) |  ~
% 8.41/2.08  |            dirty(v0, v3) |  ~ white(v0, v3) |  ~ chevy(v0, v3) |  ~
% 8.41/2.08  |            placename(v0, v2) |  ~ hollywood_placename(v0, v2) |  ~ city(v0,
% 8.41/2.08  |              v1) |  ~ of(v0, v2, v1) |  ~ actual_world(v0)))
% 8.41/2.08  | 
% 8.41/2.08  | BETA: splitting (8) gives:
% 8.41/2.08  | 
% 8.41/2.08  | Case 1:
% 8.41/2.08  | | 
% 8.41/2.08  | |   (9)  in(all_2_5, all_2_0, all_2_4) & down(all_2_5, all_2_0, all_2_1) &
% 8.41/2.08  | |        barrel(all_2_5, all_2_0) & present(all_2_5, all_2_0) & agent(all_2_5,
% 8.41/2.08  | |          all_2_0, all_2_2) & event(all_2_5, all_2_0) & lonely(all_2_5,
% 8.41/2.08  | |          all_2_1) & street(all_2_5, all_2_1) & old(all_2_5, all_2_2) &
% 8.41/2.08  | |        dirty(all_2_5, all_2_2) & white(all_2_5, all_2_2) & chevy(all_2_5,
% 8.41/2.08  | |          all_2_2) & placename(all_2_5, all_2_3) &
% 8.41/2.08  | |        hollywood_placename(all_2_5, all_2_3) & city(all_2_5, all_2_4) &
% 8.41/2.08  | |        of(all_2_5, all_2_3, all_2_4) & actual_world(all_2_5) &  ! [v0: $i] :
% 8.41/2.08  | |         ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] :  ! [v5: $i] :
% 8.41/2.08  | |        ( ~ $i(v5) |  ~ $i(v4) |  ~ $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~
% 8.41/2.08  | |          $i(v0) |  ~ in(v0, v5, v1) |  ~ down(v0, v5, v3) |  ~ barrel(v0,
% 8.41/2.08  | |            v5) |  ~ present(v0, v5) |  ~ agent(v0, v5, v4) |  ~ event(v0,
% 8.41/2.08  | |            v5) |  ~ lonely(v0, v3) |  ~ street(v0, v3) |  ~ old(v0, v4) |  ~
% 8.41/2.08  | |          dirty(v0, v4) |  ~ white(v0, v4) |  ~ chevy(v0, v4) |  ~
% 8.41/2.08  | |          placename(v0, v2) |  ~ hollywood_placename(v0, v2) |  ~ city(v0,
% 8.41/2.08  | |            v1) |  ~ of(v0, v2, v1) |  ~ actual_world(v0))
% 8.41/2.08  | | 
% 8.41/2.08  | | ALPHA: (9) implies:
% 8.41/2.09  | |   (10)  actual_world(all_2_5)
% 8.41/2.09  | |   (11)  of(all_2_5, all_2_3, all_2_4)
% 8.41/2.09  | |   (12)  city(all_2_5, all_2_4)
% 8.41/2.09  | |   (13)  hollywood_placename(all_2_5, all_2_3)
% 8.41/2.09  | |   (14)  placename(all_2_5, all_2_3)
% 8.41/2.09  | |   (15)  chevy(all_2_5, all_2_2)
% 8.41/2.09  | |   (16)  white(all_2_5, all_2_2)
% 8.41/2.09  | |   (17)  dirty(all_2_5, all_2_2)
% 8.41/2.09  | |   (18)  old(all_2_5, all_2_2)
% 8.41/2.09  | |   (19)  street(all_2_5, all_2_1)
% 8.41/2.09  | |   (20)  lonely(all_2_5, all_2_1)
% 8.41/2.09  | |   (21)  event(all_2_5, all_2_0)
% 8.41/2.09  | |   (22)  agent(all_2_5, all_2_0, all_2_2)
% 8.41/2.09  | |   (23)  present(all_2_5, all_2_0)
% 8.41/2.09  | |   (24)  barrel(all_2_5, all_2_0)
% 8.41/2.09  | |   (25)  down(all_2_5, all_2_0, all_2_1)
% 8.41/2.09  | |   (26)  in(all_2_5, all_2_0, all_2_4)
% 8.41/2.09  | |   (27)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i]
% 8.41/2.09  | |         :  ! [v5: $i] : ( ~ $i(v5) |  ~ $i(v4) |  ~ $i(v3) |  ~ $i(v2) |  ~
% 8.41/2.09  | |           $i(v1) |  ~ $i(v0) |  ~ in(v0, v5, v1) |  ~ down(v0, v5, v3) |  ~
% 8.41/2.09  | |           barrel(v0, v5) |  ~ present(v0, v5) |  ~ agent(v0, v5, v4) |  ~
% 8.41/2.09  | |           event(v0, v5) |  ~ lonely(v0, v3) |  ~ street(v0, v3) |  ~ old(v0,
% 8.41/2.09  | |             v4) |  ~ dirty(v0, v4) |  ~ white(v0, v4) |  ~ chevy(v0, v4) | 
% 8.41/2.09  | |           ~ placename(v0, v2) |  ~ hollywood_placename(v0, v2) |  ~ city(v0,
% 8.41/2.09  | |             v1) |  ~ of(v0, v2, v1) |  ~ actual_world(v0))
% 8.41/2.09  | | 
% 8.41/2.09  | | GROUND_INST: instantiating (27) with all_2_5, all_2_4, all_2_3, all_2_1,
% 8.41/2.09  | |              all_2_2, all_2_0, simplifying with (2), (3), (4), (5), (6),
% 8.41/2.09  | |              (7), (10), (11), (12), (13), (14), (15), (16), (17), (18),
% 8.41/2.09  | |              (19), (20), (21), (22), (23), (24), (25), (26) gives:
% 8.41/2.09  | |   (28)  $false
% 8.41/2.09  | | 
% 8.41/2.09  | | CLOSE: (28) is inconsistent.
% 8.41/2.09  | | 
% 8.41/2.09  | Case 2:
% 8.41/2.09  | | 
% 8.41/2.10  | |   (29)  in(all_2_5, all_2_0, all_2_4) & down(all_2_5, all_2_0, all_2_2) &
% 8.41/2.10  | |         barrel(all_2_5, all_2_0) & present(all_2_5, all_2_0) &
% 8.41/2.10  | |         agent(all_2_5, all_2_0, all_2_1) & event(all_2_5, all_2_0) &
% 8.41/2.10  | |         lonely(all_2_5, all_2_2) & street(all_2_5, all_2_2) & old(all_2_5,
% 8.41/2.10  | |           all_2_1) & dirty(all_2_5, all_2_1) & white(all_2_5, all_2_1) &
% 8.41/2.10  | |         chevy(all_2_5, all_2_1) & placename(all_2_5, all_2_3) &
% 8.41/2.10  | |         hollywood_placename(all_2_5, all_2_3) & city(all_2_5, all_2_4) &
% 8.41/2.10  | |         of(all_2_5, all_2_3, all_2_4) & actual_world(all_2_5) &  ! [v0: $i]
% 8.41/2.10  | |         :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] :  ! [v5:
% 8.41/2.10  | |           $i] : ( ~ $i(v5) |  ~ $i(v4) |  ~ $i(v3) |  ~ $i(v2) |  ~ $i(v1) |
% 8.41/2.10  | |            ~ $i(v0) |  ~ in(v0, v5, v1) |  ~ down(v0, v5, v4) |  ~
% 8.41/2.10  | |           barrel(v0, v5) |  ~ present(v0, v5) |  ~ agent(v0, v5, v3) |  ~
% 8.41/2.10  | |           event(v0, v5) |  ~ lonely(v0, v4) |  ~ street(v0, v4) |  ~ old(v0,
% 8.41/2.10  | |             v3) |  ~ dirty(v0, v3) |  ~ white(v0, v3) |  ~ chevy(v0, v3) | 
% 8.41/2.10  | |           ~ placename(v0, v2) |  ~ hollywood_placename(v0, v2) |  ~ city(v0,
% 8.41/2.10  | |             v1) |  ~ of(v0, v2, v1) |  ~ actual_world(v0))
% 8.41/2.10  | | 
% 8.41/2.10  | | ALPHA: (29) implies:
% 8.41/2.10  | |   (30)  actual_world(all_2_5)
% 8.41/2.10  | |   (31)  of(all_2_5, all_2_3, all_2_4)
% 8.41/2.10  | |   (32)  city(all_2_5, all_2_4)
% 8.41/2.10  | |   (33)  hollywood_placename(all_2_5, all_2_3)
% 8.41/2.10  | |   (34)  placename(all_2_5, all_2_3)
% 8.41/2.10  | |   (35)  chevy(all_2_5, all_2_1)
% 8.41/2.10  | |   (36)  white(all_2_5, all_2_1)
% 8.41/2.10  | |   (37)  dirty(all_2_5, all_2_1)
% 8.41/2.10  | |   (38)  old(all_2_5, all_2_1)
% 8.41/2.10  | |   (39)  street(all_2_5, all_2_2)
% 8.41/2.10  | |   (40)  lonely(all_2_5, all_2_2)
% 8.41/2.10  | |   (41)  event(all_2_5, all_2_0)
% 8.41/2.10  | |   (42)  agent(all_2_5, all_2_0, all_2_1)
% 8.41/2.10  | |   (43)  present(all_2_5, all_2_0)
% 8.41/2.10  | |   (44)  barrel(all_2_5, all_2_0)
% 8.41/2.10  | |   (45)  down(all_2_5, all_2_0, all_2_2)
% 8.41/2.10  | |   (46)  in(all_2_5, all_2_0, all_2_4)
% 8.41/2.10  | |   (47)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i]
% 8.41/2.10  | |         :  ! [v5: $i] : ( ~ $i(v5) |  ~ $i(v4) |  ~ $i(v3) |  ~ $i(v2) |  ~
% 8.41/2.10  | |           $i(v1) |  ~ $i(v0) |  ~ in(v0, v5, v1) |  ~ down(v0, v5, v4) |  ~
% 8.41/2.10  | |           barrel(v0, v5) |  ~ present(v0, v5) |  ~ agent(v0, v5, v3) |  ~
% 8.41/2.10  | |           event(v0, v5) |  ~ lonely(v0, v4) |  ~ street(v0, v4) |  ~ old(v0,
% 8.41/2.10  | |             v3) |  ~ dirty(v0, v3) |  ~ white(v0, v3) |  ~ chevy(v0, v3) | 
% 8.41/2.10  | |           ~ placename(v0, v2) |  ~ hollywood_placename(v0, v2) |  ~ city(v0,
% 8.41/2.10  | |             v1) |  ~ of(v0, v2, v1) |  ~ actual_world(v0))
% 8.41/2.10  | | 
% 8.93/2.10  | | GROUND_INST: instantiating (47) with all_2_5, all_2_4, all_2_3, all_2_1,
% 8.93/2.10  | |              all_2_2, all_2_0, simplifying with (2), (3), (4), (5), (6),
% 8.93/2.10  | |              (7), (30), (31), (32), (33), (34), (35), (36), (37), (38),
% 8.93/2.10  | |              (39), (40), (41), (42), (43), (44), (45), (46) gives:
% 8.93/2.10  | |   (48)  $false
% 8.93/2.10  | | 
% 8.93/2.10  | | CLOSE: (48) is inconsistent.
% 8.93/2.10  | | 
% 8.93/2.10  | End of split
% 8.93/2.10  | 
% 8.93/2.10  End of proof
% 8.93/2.10  % SZS output end Proof for theBenchmark
% 8.93/2.10  
% 8.93/2.10  1478ms
%------------------------------------------------------------------------------