TSTP Solution File: SWB014+2 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWB014+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n018.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 : 600s
% DateTime : Tue Jul 19 18:59:38 EDT 2022
% Result : Theorem 2.55s 1.31s
% Output : Proof 3.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWB014+2 : TPTP v8.1.0. Released v5.2.0.
% 0.04/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 1 08:42:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.52/0.60 ____ _
% 0.52/0.60 ___ / __ \_____(_)___ ________ __________
% 0.52/0.60 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.52/0.60 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.52/0.60 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.52/0.60
% 0.52/0.60 A Theorem Prover for First-Order Logic
% 0.52/0.60 (ePrincess v.1.0)
% 0.52/0.60
% 0.52/0.60 (c) Philipp Rümmer, 2009-2015
% 0.52/0.60 (c) Peter Backeman, 2014-2015
% 0.52/0.60 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.52/0.60 Free software under GNU Lesser General Public License (LGPL).
% 0.52/0.60 Bug reports to peter@backeman.se
% 0.52/0.60
% 0.52/0.60 For more information, visit http://user.uu.se/~petba168/breu/
% 0.52/0.60
% 0.52/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.73/0.65 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.31/0.91 Prover 0: Preprocessing ...
% 1.68/1.04 Prover 0: Constructing countermodel ...
% 2.55/1.31 Prover 0: proved (661ms)
% 2.55/1.31
% 2.55/1.31 No countermodel exists, formula is valid
% 2.55/1.31 % SZS status Theorem for theBenchmark
% 2.55/1.31
% 2.55/1.31 Generating proof ... found it (size 11)
% 3.25/1.52
% 3.25/1.52 % SZS output start Proof for theBenchmark
% 3.25/1.52 Assumed formulas after preprocessing and simplification:
% 3.25/1.52 | (0) ? [v0] : ? [v1] : ? [v2] : (iext(uri_owl_unionOf, v0, v1) & iext(uri_rdf_rest, v2, uri_rdf_nil) & iext(uri_rdf_rest, v1, v2) & iext(uri_rdf_first, v2, uri_ex_Falcon) & iext(uri_rdf_first, v1, uri_ex_Eagle) & iext(uri_rdf_type, uri_ex_Falcon, uri_ex_Species) & iext(uri_rdf_type, uri_ex_Eagle, uri_ex_Species) & iext(uri_rdf_type, uri_ex_harry, v0) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ icext(v7, v8) | ~ iext(uri_owl_unionOf, v3, v4) | ~ iext(uri_rdf_rest, v6, uri_rdf_nil) | ~ iext(uri_rdf_rest, v4, v6) | ~ iext(uri_rdf_first, v6, v7) | ~ iext(uri_rdf_first, v4, v5) | icext(v3, v8)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ icext(v5, v8) | ~ iext(uri_owl_unionOf, v3, v4) | ~ iext(uri_rdf_rest, v6, uri_rdf_nil) | ~ iext(uri_rdf_rest, v4, v6) | ~ iext(uri_rdf_first, v6, v7) | ~ iext(uri_rdf_first, v4, v5) | icext(v3, v8)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ icext(v3, v8) | ~ iext(uri_owl_unionOf, v3, v4) | ~ iext(uri_rdf_rest, v6, uri_rdf_nil) | ~ iext(uri_rdf_rest, v4, v6) | ~ iext(uri_rdf_first, v6, v7) | ~ iext(uri_rdf_first, v4, v5) | icext(v7, v8) | icext(v5, v8)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ ic(v7) | ~ ic(v5) | ~ ic(v3) | ~ iext(uri_rdf_rest, v6, uri_rdf_nil) | ~ iext(uri_rdf_rest, v4, v6) | ~ iext(uri_rdf_first, v6, v7) | ~ iext(uri_rdf_first, v4, v5) | iext(uri_owl_unionOf, v3, v4) | ? [v8] : (( ~ icext(v3, v8) | ( ~ icext(v7, v8) & ~ icext(v5, v8))) & (icext(v7, v8) | icext(v5, v8) | icext(v3, v8)))) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ iext(uri_owl_unionOf, v3, v4) | ~ iext(uri_rdf_rest, v6, uri_rdf_nil) | ~ iext(uri_rdf_rest, v4, v6) | ~ iext(uri_rdf_first, v6, v7) | ~ iext(uri_rdf_first, v4, v5) | ic(v7)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ iext(uri_owl_unionOf, v3, v4) | ~ iext(uri_rdf_rest, v6, uri_rdf_nil) | ~ iext(uri_rdf_rest, v4, v6) | ~ iext(uri_rdf_first, v6, v7) | ~ iext(uri_rdf_first, v4, v5) | ic(v5)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ iext(uri_owl_unionOf, v3, v4) | ~ iext(uri_rdf_rest, v6, uri_rdf_nil) | ~ iext(uri_rdf_rest, v4, v6) | ~ iext(uri_rdf_first, v6, v7) | ~ iext(uri_rdf_first, v4, v5) | ic(v3)) & ! [v3] : ! [v4] : ( ~ icext(v4, v3) | iext(uri_rdf_type, v3, v4)) & ! [v3] : ! [v4] : ( ~ iext(uri_rdf_type, v3, v4) | icext(v4, v3)) & ! [v3] : ( ~ iext(uri_rdf_type, v3, uri_ex_Species) | ~ iext(uri_rdf_type, uri_ex_harry, v3)))
% 3.25/1.53 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2 yields:
% 3.25/1.53 | (1) iext(uri_owl_unionOf, all_0_2_2, all_0_1_1) & iext(uri_rdf_rest, all_0_0_0, uri_rdf_nil) & iext(uri_rdf_rest, all_0_1_1, all_0_0_0) & iext(uri_rdf_first, all_0_0_0, uri_ex_Falcon) & iext(uri_rdf_first, all_0_1_1, uri_ex_Eagle) & iext(uri_rdf_type, uri_ex_Falcon, uri_ex_Species) & iext(uri_rdf_type, uri_ex_Eagle, uri_ex_Species) & iext(uri_rdf_type, uri_ex_harry, all_0_2_2) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ icext(v4, v5) | ~ iext(uri_owl_unionOf, v0, v1) | ~ iext(uri_rdf_rest, v3, uri_rdf_nil) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | icext(v0, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ icext(v2, v5) | ~ iext(uri_owl_unionOf, v0, v1) | ~ iext(uri_rdf_rest, v3, uri_rdf_nil) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | icext(v0, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ icext(v0, v5) | ~ iext(uri_owl_unionOf, v0, v1) | ~ iext(uri_rdf_rest, v3, uri_rdf_nil) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | icext(v4, v5) | icext(v2, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ ic(v4) | ~ ic(v2) | ~ ic(v0) | ~ iext(uri_rdf_rest, v3, uri_rdf_nil) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | iext(uri_owl_unionOf, v0, v1) | ? [v5] : (( ~ icext(v0, v5) | ( ~ icext(v4, v5) & ~ icext(v2, v5))) & (icext(v4, v5) | icext(v2, v5) | icext(v0, v5)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ iext(uri_owl_unionOf, v0, v1) | ~ iext(uri_rdf_rest, v3, uri_rdf_nil) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | ic(v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ iext(uri_owl_unionOf, v0, v1) | ~ iext(uri_rdf_rest, v3, uri_rdf_nil) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | ic(v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ iext(uri_owl_unionOf, v0, v1) | ~ iext(uri_rdf_rest, v3, uri_rdf_nil) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | ic(v0)) & ! [v0] : ! [v1] : ( ~ icext(v1, v0) | iext(uri_rdf_type, v0, v1)) & ! [v0] : ! [v1] : ( ~ iext(uri_rdf_type, v0, v1) | icext(v1, v0)) & ! [v0] : ( ~ iext(uri_rdf_type, v0, uri_ex_Species) | ~ iext(uri_rdf_type, uri_ex_harry, v0))
% 3.52/1.54 |
% 3.52/1.54 | Applying alpha-rule on (1) yields:
% 3.52/1.54 | (2) iext(uri_rdf_first, all_0_0_0, uri_ex_Falcon)
% 3.52/1.54 | (3) iext(uri_rdf_type, uri_ex_Eagle, uri_ex_Species)
% 3.52/1.54 | (4) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ iext(uri_owl_unionOf, v0, v1) | ~ iext(uri_rdf_rest, v3, uri_rdf_nil) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | ic(v0))
% 3.52/1.54 | (5) iext(uri_owl_unionOf, all_0_2_2, all_0_1_1)
% 3.52/1.54 | (6) iext(uri_rdf_rest, all_0_1_1, all_0_0_0)
% 3.52/1.54 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ icext(v0, v5) | ~ iext(uri_owl_unionOf, v0, v1) | ~ iext(uri_rdf_rest, v3, uri_rdf_nil) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | icext(v4, v5) | icext(v2, v5))
% 3.52/1.54 | (8) iext(uri_rdf_rest, all_0_0_0, uri_rdf_nil)
% 3.52/1.54 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ iext(uri_owl_unionOf, v0, v1) | ~ iext(uri_rdf_rest, v3, uri_rdf_nil) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | ic(v4))
% 3.52/1.54 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ ic(v4) | ~ ic(v2) | ~ ic(v0) | ~ iext(uri_rdf_rest, v3, uri_rdf_nil) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | iext(uri_owl_unionOf, v0, v1) | ? [v5] : (( ~ icext(v0, v5) | ( ~ icext(v4, v5) & ~ icext(v2, v5))) & (icext(v4, v5) | icext(v2, v5) | icext(v0, v5))))
% 3.52/1.54 | (11) iext(uri_rdf_type, uri_ex_Falcon, uri_ex_Species)
% 3.52/1.54 | (12) iext(uri_rdf_type, uri_ex_harry, all_0_2_2)
% 3.52/1.54 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ icext(v2, v5) | ~ iext(uri_owl_unionOf, v0, v1) | ~ iext(uri_rdf_rest, v3, uri_rdf_nil) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | icext(v0, v5))
% 3.52/1.54 | (14) ! [v0] : ! [v1] : ( ~ iext(uri_rdf_type, v0, v1) | icext(v1, v0))
% 3.52/1.54 | (15) ! [v0] : ! [v1] : ( ~ icext(v1, v0) | iext(uri_rdf_type, v0, v1))
% 3.52/1.54 | (16) ! [v0] : ( ~ iext(uri_rdf_type, v0, uri_ex_Species) | ~ iext(uri_rdf_type, uri_ex_harry, v0))
% 3.52/1.54 | (17) iext(uri_rdf_first, all_0_1_1, uri_ex_Eagle)
% 3.52/1.54 | (18) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ iext(uri_owl_unionOf, v0, v1) | ~ iext(uri_rdf_rest, v3, uri_rdf_nil) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | ic(v2))
% 3.52/1.54 | (19) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ icext(v4, v5) | ~ iext(uri_owl_unionOf, v0, v1) | ~ iext(uri_rdf_rest, v3, uri_rdf_nil) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | icext(v0, v5))
% 3.52/1.55 |
% 3.52/1.55 | Instantiating formula (14) with all_0_2_2, uri_ex_harry and discharging atoms iext(uri_rdf_type, uri_ex_harry, all_0_2_2), yields:
% 3.52/1.55 | (20) icext(all_0_2_2, uri_ex_harry)
% 3.52/1.55 |
% 3.52/1.55 | Instantiating formula (7) with uri_ex_harry, uri_ex_Falcon, all_0_0_0, uri_ex_Eagle, all_0_1_1, all_0_2_2 and discharging atoms icext(all_0_2_2, uri_ex_harry), iext(uri_owl_unionOf, all_0_2_2, all_0_1_1), iext(uri_rdf_rest, all_0_0_0, uri_rdf_nil), iext(uri_rdf_rest, all_0_1_1, all_0_0_0), iext(uri_rdf_first, all_0_0_0, uri_ex_Falcon), iext(uri_rdf_first, all_0_1_1, uri_ex_Eagle), yields:
% 3.52/1.55 | (21) icext(uri_ex_Falcon, uri_ex_harry) | icext(uri_ex_Eagle, uri_ex_harry)
% 3.52/1.55 |
% 3.52/1.55 +-Applying beta-rule and splitting (21), into two cases.
% 3.52/1.55 |-Branch one:
% 3.52/1.55 | (22) icext(uri_ex_Falcon, uri_ex_harry)
% 3.52/1.55 |
% 3.52/1.55 | Instantiating formula (15) with uri_ex_Falcon, uri_ex_harry and discharging atoms icext(uri_ex_Falcon, uri_ex_harry), yields:
% 3.52/1.55 | (23) iext(uri_rdf_type, uri_ex_harry, uri_ex_Falcon)
% 3.52/1.55 |
% 3.52/1.55 | Instantiating formula (16) with uri_ex_Falcon and discharging atoms iext(uri_rdf_type, uri_ex_Falcon, uri_ex_Species), iext(uri_rdf_type, uri_ex_harry, uri_ex_Falcon), yields:
% 3.52/1.55 | (24) $false
% 3.52/1.55 |
% 3.52/1.55 |-The branch is then unsatisfiable
% 3.52/1.55 |-Branch two:
% 3.52/1.55 | (25) ~ icext(uri_ex_Falcon, uri_ex_harry)
% 3.52/1.55 | (26) icext(uri_ex_Eagle, uri_ex_harry)
% 3.52/1.55 |
% 3.52/1.55 | Instantiating formula (15) with uri_ex_Eagle, uri_ex_harry and discharging atoms icext(uri_ex_Eagle, uri_ex_harry), yields:
% 3.52/1.55 | (27) iext(uri_rdf_type, uri_ex_harry, uri_ex_Eagle)
% 3.52/1.55 |
% 3.52/1.55 | Instantiating formula (16) with uri_ex_Eagle and discharging atoms iext(uri_rdf_type, uri_ex_Eagle, uri_ex_Species), iext(uri_rdf_type, uri_ex_harry, uri_ex_Eagle), yields:
% 3.52/1.55 | (24) $false
% 3.52/1.55 |
% 3.52/1.55 |-The branch is then unsatisfiable
% 3.52/1.55 % SZS output end Proof for theBenchmark
% 3.52/1.55
% 3.52/1.55 943ms
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