TSTP Solution File: SWB014+2 by Princess---230619

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : SWB014+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp
% Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s

% Computer : n021.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 20:11:42 EDT 2023

% Result   : Theorem 9.84s 2.08s
% Output   : Proof 10.91s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWB014+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.34  % Computer : n021.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Sun Aug 27 07:05:42 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.20/0.60  ________       _____
% 0.20/0.60  ___  __ \_________(_)________________________________
% 0.20/0.60  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.20/0.60  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.20/0.60  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.20/0.60  
% 0.20/0.60  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.60  (2023-06-19)
% 0.20/0.60  
% 0.20/0.60  (c) Philipp Rümmer, 2009-2023
% 0.20/0.60  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.60                Amanda Stjerna.
% 0.20/0.60  Free software under BSD-3-Clause.
% 0.20/0.60  
% 0.20/0.60  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.60  
% 0.20/0.60  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.20/0.61  Running up to 7 provers in parallel.
% 0.20/0.63  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.63  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.63  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.63  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.63  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.63  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.63  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 1.83/0.96  Prover 1: Preprocessing ...
% 1.83/0.96  Prover 4: Preprocessing ...
% 2.39/1.00  Prover 5: Preprocessing ...
% 2.39/1.00  Prover 0: Preprocessing ...
% 2.39/1.00  Prover 2: Preprocessing ...
% 2.39/1.00  Prover 6: Preprocessing ...
% 2.39/1.00  Prover 3: Preprocessing ...
% 3.67/1.19  Prover 2: Constructing countermodel ...
% 3.67/1.19  Prover 5: Proving ...
% 3.89/1.21  Prover 6: Proving ...
% 3.89/1.22  Prover 3: Constructing countermodel ...
% 3.89/1.22  Prover 1: Constructing countermodel ...
% 4.55/1.42  Prover 3: gave up
% 4.55/1.42  Prover 1: gave up
% 4.55/1.42  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 4.55/1.42  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 4.55/1.43  Prover 7: Preprocessing ...
% 4.55/1.44  Prover 8: Preprocessing ...
% 4.55/1.49  Prover 7: Constructing countermodel ...
% 4.55/1.55  Prover 8: Warning: ignoring some quantifiers
% 4.55/1.55  Prover 8: Constructing countermodel ...
% 6.92/1.65  Prover 8: gave up
% 6.92/1.66  Prover 9: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889
% 6.92/1.67  Prover 9: Preprocessing ...
% 7.68/1.75  Prover 4: Constructing countermodel ...
% 8.50/1.88  Prover 0: Proving ...
% 9.59/2.03  Prover 9: Constructing countermodel ...
% 9.84/2.07  Prover 2: proved (1450ms)
% 9.84/2.08  
% 9.84/2.08  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.84/2.08  
% 9.84/2.08  Prover 9: stopped
% 9.84/2.09  Prover 6: stopped
% 9.84/2.09  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 9.84/2.09  Prover 5: stopped
% 9.84/2.10  Prover 0: stopped
% 9.84/2.14  Prover 10: Preprocessing ...
% 9.84/2.14  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 9.84/2.14  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 9.84/2.14  Prover 16: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 9.84/2.14  Prover 13: Preprocessing ...
% 9.84/2.14  Prover 10: Constructing countermodel ...
% 9.84/2.14  Prover 16: Preprocessing ...
% 9.84/2.14  Prover 11: Preprocessing ...
% 10.56/2.14  Prover 13: Constructing countermodel ...
% 10.56/2.14  Prover 19: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 10.56/2.14  Prover 7: Found proof (size 16)
% 10.56/2.14  Prover 7: proved (727ms)
% 10.56/2.15  Prover 13: stopped
% 10.56/2.15  Prover 10: stopped
% 10.56/2.15  Prover 16: stopped
% 10.56/2.15  Prover 19: Preprocessing ...
% 10.56/2.16  Prover 4: stopped
% 10.56/2.18  Prover 11: stopped
% 10.91/2.20  Prover 19: Warning: ignoring some quantifiers
% 10.91/2.20  Prover 19: Constructing countermodel ...
% 10.91/2.20  Prover 19: stopped
% 10.91/2.20  
% 10.91/2.20  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.91/2.20  
% 10.91/2.21  % SZS output start Proof for theBenchmark
% 10.91/2.21  Assumptions after simplification:
% 10.91/2.21  ---------------------------------
% 10.91/2.21  
% 10.91/2.21    (owl_bool_unionof_class_002)
% 10.91/2.23    $i(uri_owl_unionOf) & $i(uri_rdf_nil) & $i(uri_rdf_rest) & $i(uri_rdf_first) &
% 10.91/2.23     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] :  ! [v5:
% 10.91/2.23      $i] : ( ~ $i(v5) |  ~ $i(v4) |  ~ $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0)
% 10.91/2.23      |  ~ icext(v4, v5) |  ~ iext(uri_owl_unionOf, v0, v1) |  ~
% 10.91/2.23      iext(uri_rdf_rest, v3, uri_rdf_nil) |  ~ iext(uri_rdf_rest, v1, v3) |  ~
% 10.91/2.23      iext(uri_rdf_first, v3, v4) |  ~ iext(uri_rdf_first, v1, v2) | icext(v0,
% 10.91/2.23        v5)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i]
% 10.91/2.23    :  ! [v5: $i] : ( ~ $i(v5) |  ~ $i(v4) |  ~ $i(v3) |  ~ $i(v2) |  ~ $i(v1) | 
% 10.91/2.23      ~ $i(v0) |  ~ icext(v2, v5) |  ~ iext(uri_owl_unionOf, v0, v1) |  ~
% 10.91/2.23      iext(uri_rdf_rest, v3, uri_rdf_nil) |  ~ iext(uri_rdf_rest, v1, v3) |  ~
% 10.91/2.23      iext(uri_rdf_first, v3, v4) |  ~ iext(uri_rdf_first, v1, v2) | icext(v0,
% 10.91/2.23        v5)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i]
% 10.91/2.23    :  ! [v5: $i] : ( ~ $i(v5) |  ~ $i(v4) |  ~ $i(v3) |  ~ $i(v2) |  ~ $i(v1) | 
% 10.91/2.23      ~ $i(v0) |  ~ icext(v0, v5) |  ~ iext(uri_owl_unionOf, v0, v1) |  ~
% 10.91/2.23      iext(uri_rdf_rest, v3, uri_rdf_nil) |  ~ iext(uri_rdf_rest, v1, v3) |  ~
% 10.91/2.23      iext(uri_rdf_first, v3, v4) |  ~ iext(uri_rdf_first, v1, v2) | icext(v4, v5)
% 10.91/2.23      | icext(v2, v5)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : 
% 10.91/2.23    ! [v4: $i] : ( ~ $i(v4) |  ~ $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ~
% 10.91/2.23      ic(v4) |  ~ ic(v2) |  ~ ic(v0) |  ~ iext(uri_rdf_rest, v3, uri_rdf_nil) |  ~
% 10.91/2.23      iext(uri_rdf_rest, v1, v3) |  ~ iext(uri_rdf_first, v3, v4) |  ~
% 10.91/2.23      iext(uri_rdf_first, v1, v2) | iext(uri_owl_unionOf, v0, v1) |  ? [v5: $i] :
% 10.91/2.23      ($i(v5) & ( ~ icext(v0, v5) | ( ~ icext(v4, v5) &  ~ icext(v2, v5))) &
% 10.91/2.23        (icext(v4, v5) | icext(v2, v5) | icext(v0, v5)))) &  ! [v0: $i] :  ! [v1:
% 10.91/2.23      $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] : ( ~ $i(v4) |  ~ $i(v3) |  ~
% 10.91/2.23      $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ~ iext(uri_owl_unionOf, v0, v1) |  ~
% 10.91/2.23      iext(uri_rdf_rest, v3, uri_rdf_nil) |  ~ iext(uri_rdf_rest, v1, v3) |  ~
% 10.91/2.23      iext(uri_rdf_first, v3, v4) |  ~ iext(uri_rdf_first, v1, v2) | ic(v4)) &  !
% 10.91/2.23    [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] : ( ~ $i(v4)
% 10.91/2.23      |  ~ $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ~ iext(uri_owl_unionOf,
% 10.91/2.23        v0, v1) |  ~ iext(uri_rdf_rest, v3, uri_rdf_nil) |  ~ iext(uri_rdf_rest,
% 10.91/2.23        v1, v3) |  ~ iext(uri_rdf_first, v3, v4) |  ~ iext(uri_rdf_first, v1, v2)
% 10.91/2.23      | ic(v2)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4:
% 10.91/2.23      $i] : ( ~ $i(v4) |  ~ $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ~
% 10.91/2.23      iext(uri_owl_unionOf, v0, v1) |  ~ iext(uri_rdf_rest, v3, uri_rdf_nil) |  ~
% 10.91/2.23      iext(uri_rdf_rest, v1, v3) |  ~ iext(uri_rdf_first, v3, v4) |  ~
% 10.91/2.23      iext(uri_rdf_first, v1, v2) | ic(v0))
% 10.91/2.23  
% 10.91/2.23    (rdfs_cext_def)
% 10.91/2.23    $i(uri_rdf_type) &  ! [v0: $i] :  ! [v1: $i] : ( ~ $i(v1) |  ~ $i(v0) |  ~
% 10.91/2.23      icext(v1, v0) | iext(uri_rdf_type, v0, v1)) &  ! [v0: $i] :  ! [v1: $i] : (
% 10.91/2.23      ~ $i(v1) |  ~ $i(v0) |  ~ iext(uri_rdf_type, v0, v1) | icext(v1, v0))
% 10.91/2.23  
% 10.91/2.23    (testcase_conclusion_fullish_014_Harry_belongs_to_some_Species)
% 10.91/2.23    $i(uri_ex_Species) & $i(uri_ex_harry) & $i(uri_rdf_type) &  ! [v0: $i] : ( ~
% 10.91/2.23      $i(v0) |  ~ iext(uri_rdf_type, v0, uri_ex_Species) |  ~ iext(uri_rdf_type,
% 10.91/2.23        uri_ex_harry, v0))
% 10.91/2.23  
% 10.91/2.23    (testcase_premise_fullish_014_Harry_belongs_to_some_Species)
% 10.91/2.24    $i(uri_ex_Falcon) & $i(uri_ex_Eagle) & $i(uri_ex_Species) & $i(uri_ex_harry) &
% 10.91/2.24    $i(uri_owl_unionOf) & $i(uri_rdf_nil) & $i(uri_rdf_rest) & $i(uri_rdf_first) &
% 10.91/2.24    $i(uri_rdf_type) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : ($i(v2) & $i(v1)
% 10.91/2.24      & $i(v0) & iext(uri_owl_unionOf, v0, v1) & iext(uri_rdf_rest, v2,
% 10.91/2.24        uri_rdf_nil) & iext(uri_rdf_rest, v1, v2) & iext(uri_rdf_first, v2,
% 10.91/2.24        uri_ex_Falcon) & iext(uri_rdf_first, v1, uri_ex_Eagle) &
% 10.91/2.24      iext(uri_rdf_type, uri_ex_Falcon, uri_ex_Species) & iext(uri_rdf_type,
% 10.91/2.24        uri_ex_Eagle, uri_ex_Species) & iext(uri_rdf_type, uri_ex_harry, v0))
% 10.91/2.24  
% 10.91/2.24  Those formulas are unsatisfiable:
% 10.91/2.24  ---------------------------------
% 10.91/2.24  
% 10.91/2.24  Begin of proof
% 10.91/2.24  | 
% 10.91/2.24  | ALPHA: (testcase_conclusion_fullish_014_Harry_belongs_to_some_Species)
% 10.91/2.24  |        implies:
% 10.91/2.24  |   (1)   ! [v0: $i] : ( ~ $i(v0) |  ~ iext(uri_rdf_type, v0, uri_ex_Species) | 
% 10.91/2.24  |          ~ iext(uri_rdf_type, uri_ex_harry, v0))
% 10.91/2.24  | 
% 10.91/2.24  | ALPHA: (testcase_premise_fullish_014_Harry_belongs_to_some_Species) implies:
% 10.91/2.24  |   (2)  $i(uri_ex_harry)
% 10.91/2.24  |   (3)  $i(uri_ex_Eagle)
% 10.91/2.24  |   (4)  $i(uri_ex_Falcon)
% 10.91/2.24  |   (5)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : ($i(v2) & $i(v1) & $i(v0) &
% 10.91/2.24  |          iext(uri_owl_unionOf, v0, v1) & iext(uri_rdf_rest, v2, uri_rdf_nil) &
% 10.91/2.24  |          iext(uri_rdf_rest, v1, v2) & iext(uri_rdf_first, v2, uri_ex_Falcon) &
% 10.91/2.24  |          iext(uri_rdf_first, v1, uri_ex_Eagle) & iext(uri_rdf_type,
% 10.91/2.24  |            uri_ex_Falcon, uri_ex_Species) & iext(uri_rdf_type, uri_ex_Eagle,
% 10.91/2.24  |            uri_ex_Species) & iext(uri_rdf_type, uri_ex_harry, v0))
% 10.91/2.24  | 
% 10.91/2.24  | ALPHA: (owl_bool_unionof_class_002) implies:
% 10.91/2.24  |   (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] : 
% 10.91/2.24  |        ! [v5: $i] : ( ~ $i(v5) |  ~ $i(v4) |  ~ $i(v3) |  ~ $i(v2) |  ~ $i(v1)
% 10.91/2.24  |          |  ~ $i(v0) |  ~ icext(v0, v5) |  ~ iext(uri_owl_unionOf, v0, v1) | 
% 10.91/2.24  |          ~ iext(uri_rdf_rest, v3, uri_rdf_nil) |  ~ iext(uri_rdf_rest, v1, v3)
% 10.91/2.24  |          |  ~ iext(uri_rdf_first, v3, v4) |  ~ iext(uri_rdf_first, v1, v2) |
% 10.91/2.24  |          icext(v4, v5) | icext(v2, v5))
% 10.91/2.24  | 
% 10.91/2.24  | ALPHA: (rdfs_cext_def) implies:
% 10.91/2.24  |   (7)   ! [v0: $i] :  ! [v1: $i] : ( ~ $i(v1) |  ~ $i(v0) |  ~
% 10.91/2.24  |          iext(uri_rdf_type, v0, v1) | icext(v1, v0))
% 10.91/2.24  |   (8)   ! [v0: $i] :  ! [v1: $i] : ( ~ $i(v1) |  ~ $i(v0) |  ~ icext(v1, v0) |
% 10.91/2.24  |          iext(uri_rdf_type, v0, v1))
% 10.91/2.24  | 
% 10.91/2.24  | DELTA: instantiating (5) with fresh symbols all_6_0, all_6_1, all_6_2 gives:
% 10.91/2.24  |   (9)  $i(all_6_0) & $i(all_6_1) & $i(all_6_2) & iext(uri_owl_unionOf,
% 10.91/2.24  |          all_6_2, all_6_1) & iext(uri_rdf_rest, all_6_0, uri_rdf_nil) &
% 10.91/2.24  |        iext(uri_rdf_rest, all_6_1, all_6_0) & iext(uri_rdf_first, all_6_0,
% 10.91/2.24  |          uri_ex_Falcon) & iext(uri_rdf_first, all_6_1, uri_ex_Eagle) &
% 10.91/2.24  |        iext(uri_rdf_type, uri_ex_Falcon, uri_ex_Species) & iext(uri_rdf_type,
% 10.91/2.24  |          uri_ex_Eagle, uri_ex_Species) & iext(uri_rdf_type, uri_ex_harry,
% 10.91/2.24  |          all_6_2)
% 10.91/2.24  | 
% 10.91/2.24  | ALPHA: (9) implies:
% 10.91/2.24  |   (10)  iext(uri_rdf_type, uri_ex_harry, all_6_2)
% 10.91/2.25  |   (11)  iext(uri_rdf_type, uri_ex_Eagle, uri_ex_Species)
% 10.91/2.25  |   (12)  iext(uri_rdf_type, uri_ex_Falcon, uri_ex_Species)
% 10.91/2.25  |   (13)  iext(uri_rdf_first, all_6_1, uri_ex_Eagle)
% 10.91/2.25  |   (14)  iext(uri_rdf_first, all_6_0, uri_ex_Falcon)
% 10.91/2.25  |   (15)  iext(uri_rdf_rest, all_6_1, all_6_0)
% 10.91/2.25  |   (16)  iext(uri_rdf_rest, all_6_0, uri_rdf_nil)
% 10.91/2.25  |   (17)  iext(uri_owl_unionOf, all_6_2, all_6_1)
% 10.91/2.25  |   (18)  $i(all_6_2)
% 10.91/2.25  |   (19)  $i(all_6_1)
% 10.91/2.25  |   (20)  $i(all_6_0)
% 10.91/2.25  | 
% 10.91/2.25  | GROUND_INST: instantiating (7) with uri_ex_harry, all_6_2, simplifying with
% 10.91/2.25  |              (2), (10), (18) gives:
% 10.91/2.25  |   (21)  icext(all_6_2, uri_ex_harry)
% 10.91/2.25  | 
% 10.91/2.25  | GROUND_INST: instantiating (1) with uri_ex_Eagle, simplifying with (3), (11)
% 10.91/2.25  |              gives:
% 10.91/2.25  |   (22)   ~ iext(uri_rdf_type, uri_ex_harry, uri_ex_Eagle)
% 10.91/2.25  | 
% 10.91/2.25  | GROUND_INST: instantiating (1) with uri_ex_Falcon, simplifying with (4), (12)
% 10.91/2.25  |              gives:
% 10.91/2.25  |   (23)   ~ iext(uri_rdf_type, uri_ex_harry, uri_ex_Falcon)
% 10.91/2.25  | 
% 10.91/2.25  | GROUND_INST: instantiating (6) with all_6_2, all_6_1, uri_ex_Eagle, all_6_0,
% 10.91/2.25  |              uri_ex_Falcon, uri_ex_harry, simplifying with (2), (3), (4),
% 10.91/2.25  |              (13), (14), (15), (16), (17), (18), (19), (20), (21) gives:
% 10.91/2.25  |   (24)  icext(uri_ex_Falcon, uri_ex_harry) | icext(uri_ex_Eagle, uri_ex_harry)
% 10.91/2.25  | 
% 10.91/2.25  | BETA: splitting (24) gives:
% 10.91/2.25  | 
% 10.91/2.25  | Case 1:
% 10.91/2.25  | | 
% 10.91/2.25  | |   (25)  icext(uri_ex_Falcon, uri_ex_harry)
% 10.91/2.25  | | 
% 10.91/2.25  | | GROUND_INST: instantiating (8) with uri_ex_harry, uri_ex_Falcon, simplifying
% 10.91/2.25  | |              with (2), (4), (23), (25) gives:
% 10.91/2.25  | |   (26)  $false
% 10.91/2.25  | | 
% 10.91/2.25  | | CLOSE: (26) is inconsistent.
% 10.91/2.25  | | 
% 10.91/2.25  | Case 2:
% 10.91/2.25  | | 
% 10.91/2.25  | |   (27)  icext(uri_ex_Eagle, uri_ex_harry)
% 10.91/2.25  | | 
% 10.91/2.25  | | GROUND_INST: instantiating (8) with uri_ex_harry, uri_ex_Eagle, simplifying
% 10.91/2.25  | |              with (2), (3), (22), (27) gives:
% 10.91/2.25  | |   (28)  $false
% 10.91/2.25  | | 
% 10.91/2.25  | | CLOSE: (28) is inconsistent.
% 10.91/2.25  | | 
% 10.91/2.25  | End of split
% 10.91/2.25  | 
% 10.91/2.25  End of proof
% 10.91/2.25  % SZS output end Proof for theBenchmark
% 10.91/2.25  
% 10.91/2.25  1652ms
%------------------------------------------------------------------------------