TSTP Solution File: SWB032+2 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWB032+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n022.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 18:59:45 EDT 2022
% Result : Theorem 2.16s 1.20s
% Output : Proof 3.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWB032+2 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.34 % Computer : n022.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 06:02:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.53/0.58 ____ _
% 0.53/0.58 ___ / __ \_____(_)___ ________ __________
% 0.53/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.53/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.53/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.53/0.58
% 0.53/0.58 A Theorem Prover for First-Order Logic
% 0.53/0.58 (ePrincess v.1.0)
% 0.53/0.58
% 0.53/0.58 (c) Philipp Rümmer, 2009-2015
% 0.53/0.58 (c) Peter Backeman, 2014-2015
% 0.53/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.53/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.53/0.58 Bug reports to peter@backeman.se
% 0.53/0.58
% 0.53/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.53/0.58
% 0.53/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.76/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.32/0.91 Prover 0: Preprocessing ...
% 1.58/1.02 Prover 0: Constructing countermodel ...
% 2.16/1.20 Prover 0: proved (564ms)
% 2.16/1.20
% 2.16/1.20 No countermodel exists, formula is valid
% 2.16/1.20 % SZS status Theorem for theBenchmark
% 2.16/1.20
% 2.16/1.20 Generating proof ... found it (size 24)
% 2.80/1.42
% 2.80/1.42 % SZS output start Proof for theBenchmark
% 2.80/1.42 Assumed formulas after preprocessing and simplification:
% 2.80/1.42 | (0) idc(uri_xsd_integer) & idc(uri_xsd_decimal) & idc(uri_xsd_string) & ! [v0] : ! [v1] : ! [v2] : ( ~ iext(uri_owl_disjointWith, v0, v1) | ~ icext(v1, v2) | ~ icext(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ iext(uri_rdfs_subClassOf, v0, v1) | ~ icext(v0, v2) | icext(v1, v2)) & ! [v0] : ! [v1] : ( ~ iext(uri_owl_disjointWith, v0, v1) | ic(v1)) & ! [v0] : ! [v1] : ( ~ iext(uri_owl_disjointWith, v0, v1) | ic(v0)) & ! [v0] : ! [v1] : ( ~ iext(uri_rdfs_subClassOf, v0, v1) | ic(v1)) & ! [v0] : ! [v1] : ( ~ iext(uri_rdfs_subClassOf, v0, v1) | ic(v0)) & ! [v0] : ! [v1] : ( ~ ic(v1) | ~ ic(v0) | iext(uri_owl_disjointWith, v0, v1) | ? [v2] : (icext(v1, v2) & icext(v0, v2))) & ! [v0] : ! [v1] : ( ~ ic(v1) | ~ ic(v0) | iext(uri_rdfs_subClassOf, v0, v1) | ? [v2] : (icext(v0, v2) & ~ icext(v1, v2))) & ! [v0] : ( ~ icext(uri_owl_rational, v0) | icext(uri_owl_real, v0)) & ! [v0] : ( ~ icext(uri_owl_real, v0) | ~ icext(uri_rdf_PlainLiteral, v0)) & ! [v0] : ( ~ icext(uri_xsd_integer, v0) | icext(uri_xsd_decimal, v0)) & ! [v0] : ( ~ icext(uri_xsd_decimal, v0) | icext(uri_owl_rational, v0)) & ! [v0] : ( ~ icext(uri_xsd_string, v0) | icext(uri_rdf_PlainLiteral, v0)) & ! [v0] : ( ~ idc(v0) | ic(v0)) & ( ~ iext(uri_owl_disjointWith, uri_xsd_decimal, uri_xsd_string) | ~ iext(uri_rdfs_subClassOf, uri_xsd_integer, uri_xsd_decimal))
% 3.06/1.44 | Applying alpha-rule on (0) yields:
% 3.06/1.44 | (1) ! [v0] : ( ~ icext(uri_xsd_decimal, v0) | icext(uri_owl_rational, v0))
% 3.06/1.44 | (2) ! [v0] : ! [v1] : ( ~ iext(uri_rdfs_subClassOf, v0, v1) | ic(v0))
% 3.06/1.44 | (3) ! [v0] : ( ~ icext(uri_owl_rational, v0) | icext(uri_owl_real, v0))
% 3.06/1.44 | (4) ! [v0] : ( ~ icext(uri_owl_real, v0) | ~ icext(uri_rdf_PlainLiteral, v0))
% 3.06/1.44 | (5) ! [v0] : ! [v1] : ( ~ ic(v1) | ~ ic(v0) | iext(uri_owl_disjointWith, v0, v1) | ? [v2] : (icext(v1, v2) & icext(v0, v2)))
% 3.06/1.44 | (6) ! [v0] : ( ~ icext(uri_xsd_integer, v0) | icext(uri_xsd_decimal, v0))
% 3.06/1.44 | (7) ~ iext(uri_owl_disjointWith, uri_xsd_decimal, uri_xsd_string) | ~ iext(uri_rdfs_subClassOf, uri_xsd_integer, uri_xsd_decimal)
% 3.06/1.44 | (8) idc(uri_xsd_integer)
% 3.06/1.44 | (9) ! [v0] : ! [v1] : ( ~ iext(uri_rdfs_subClassOf, v0, v1) | ic(v1))
% 3.06/1.44 | (10) ! [v0] : ! [v1] : ( ~ ic(v1) | ~ ic(v0) | iext(uri_rdfs_subClassOf, v0, v1) | ? [v2] : (icext(v0, v2) & ~ icext(v1, v2)))
% 3.06/1.44 | (11) ! [v0] : ! [v1] : ! [v2] : ( ~ iext(uri_owl_disjointWith, v0, v1) | ~ icext(v1, v2) | ~ icext(v0, v2))
% 3.06/1.44 | (12) idc(uri_xsd_decimal)
% 3.06/1.44 | (13) ! [v0] : ! [v1] : ( ~ iext(uri_owl_disjointWith, v0, v1) | ic(v0))
% 3.06/1.44 | (14) ! [v0] : ! [v1] : ( ~ iext(uri_owl_disjointWith, v0, v1) | ic(v1))
% 3.06/1.45 | (15) ! [v0] : ( ~ idc(v0) | ic(v0))
% 3.06/1.45 | (16) idc(uri_xsd_string)
% 3.06/1.45 | (17) ! [v0] : ! [v1] : ! [v2] : ( ~ iext(uri_rdfs_subClassOf, v0, v1) | ~ icext(v0, v2) | icext(v1, v2))
% 3.06/1.45 | (18) ! [v0] : ( ~ icext(uri_xsd_string, v0) | icext(uri_rdf_PlainLiteral, v0))
% 3.06/1.45 |
% 3.06/1.45 | Instantiating formula (15) with uri_xsd_integer and discharging atoms idc(uri_xsd_integer), yields:
% 3.06/1.45 | (19) ic(uri_xsd_integer)
% 3.06/1.45 |
% 3.06/1.45 | Instantiating formula (15) with uri_xsd_decimal and discharging atoms idc(uri_xsd_decimal), yields:
% 3.06/1.45 | (20) ic(uri_xsd_decimal)
% 3.06/1.45 |
% 3.06/1.45 | Instantiating formula (15) with uri_xsd_string and discharging atoms idc(uri_xsd_string), yields:
% 3.06/1.45 | (21) ic(uri_xsd_string)
% 3.06/1.45 |
% 3.06/1.45 | Instantiating formula (10) with uri_xsd_decimal, uri_xsd_integer and discharging atoms ic(uri_xsd_integer), ic(uri_xsd_decimal), yields:
% 3.06/1.45 | (22) iext(uri_rdfs_subClassOf, uri_xsd_integer, uri_xsd_decimal) | ? [v0] : (icext(uri_xsd_integer, v0) & ~ icext(uri_xsd_decimal, v0))
% 3.06/1.45 |
% 3.06/1.45 | Instantiating formula (5) with uri_xsd_string, uri_xsd_decimal and discharging atoms ic(uri_xsd_decimal), ic(uri_xsd_string), yields:
% 3.06/1.45 | (23) iext(uri_owl_disjointWith, uri_xsd_decimal, uri_xsd_string) | ? [v0] : (icext(uri_xsd_decimal, v0) & icext(uri_xsd_string, v0))
% 3.06/1.45 |
% 3.06/1.45 +-Applying beta-rule and splitting (7), into two cases.
% 3.06/1.45 |-Branch one:
% 3.06/1.45 | (24) ~ iext(uri_owl_disjointWith, uri_xsd_decimal, uri_xsd_string)
% 3.06/1.45 |
% 3.06/1.45 +-Applying beta-rule and splitting (23), into two cases.
% 3.06/1.45 |-Branch one:
% 3.06/1.45 | (25) iext(uri_owl_disjointWith, uri_xsd_decimal, uri_xsd_string)
% 3.06/1.45 |
% 3.06/1.45 | Using (25) and (24) yields:
% 3.06/1.45 | (26) $false
% 3.06/1.45 |
% 3.06/1.45 |-The branch is then unsatisfiable
% 3.06/1.45 |-Branch two:
% 3.06/1.45 | (24) ~ iext(uri_owl_disjointWith, uri_xsd_decimal, uri_xsd_string)
% 3.06/1.45 | (28) ? [v0] : (icext(uri_xsd_decimal, v0) & icext(uri_xsd_string, v0))
% 3.06/1.45 |
% 3.06/1.45 | Instantiating (28) with all_25_0_0 yields:
% 3.06/1.45 | (29) icext(uri_xsd_decimal, all_25_0_0) & icext(uri_xsd_string, all_25_0_0)
% 3.06/1.45 |
% 3.06/1.45 | Applying alpha-rule on (29) yields:
% 3.06/1.45 | (30) icext(uri_xsd_decimal, all_25_0_0)
% 3.06/1.45 | (31) icext(uri_xsd_string, all_25_0_0)
% 3.06/1.45 |
% 3.06/1.45 | Instantiating formula (1) with all_25_0_0 and discharging atoms icext(uri_xsd_decimal, all_25_0_0), yields:
% 3.06/1.45 | (32) icext(uri_owl_rational, all_25_0_0)
% 3.06/1.45 |
% 3.06/1.45 | Instantiating formula (18) with all_25_0_0 and discharging atoms icext(uri_xsd_string, all_25_0_0), yields:
% 3.06/1.45 | (33) icext(uri_rdf_PlainLiteral, all_25_0_0)
% 3.06/1.45 |
% 3.06/1.45 | Instantiating formula (3) with all_25_0_0 and discharging atoms icext(uri_owl_rational, all_25_0_0), yields:
% 3.06/1.45 | (34) icext(uri_owl_real, all_25_0_0)
% 3.06/1.46 |
% 3.06/1.46 | Instantiating formula (4) with all_25_0_0 and discharging atoms icext(uri_owl_real, all_25_0_0), icext(uri_rdf_PlainLiteral, all_25_0_0), yields:
% 3.06/1.46 | (26) $false
% 3.06/1.46 |
% 3.06/1.46 |-The branch is then unsatisfiable
% 3.06/1.46 |-Branch two:
% 3.06/1.46 | (25) iext(uri_owl_disjointWith, uri_xsd_decimal, uri_xsd_string)
% 3.06/1.46 | (37) ~ iext(uri_rdfs_subClassOf, uri_xsd_integer, uri_xsd_decimal)
% 3.06/1.46 |
% 3.06/1.46 +-Applying beta-rule and splitting (22), into two cases.
% 3.06/1.46 |-Branch one:
% 3.06/1.46 | (38) iext(uri_rdfs_subClassOf, uri_xsd_integer, uri_xsd_decimal)
% 3.06/1.46 |
% 3.06/1.46 | Using (38) and (37) yields:
% 3.06/1.46 | (26) $false
% 3.06/1.46 |
% 3.06/1.46 |-The branch is then unsatisfiable
% 3.06/1.46 |-Branch two:
% 3.06/1.46 | (37) ~ iext(uri_rdfs_subClassOf, uri_xsd_integer, uri_xsd_decimal)
% 3.06/1.46 | (41) ? [v0] : (icext(uri_xsd_integer, v0) & ~ icext(uri_xsd_decimal, v0))
% 3.06/1.46 |
% 3.06/1.46 | Instantiating (41) with all_25_0_1 yields:
% 3.06/1.46 | (42) icext(uri_xsd_integer, all_25_0_1) & ~ icext(uri_xsd_decimal, all_25_0_1)
% 3.06/1.46 |
% 3.06/1.46 | Applying alpha-rule on (42) yields:
% 3.06/1.46 | (43) icext(uri_xsd_integer, all_25_0_1)
% 3.06/1.46 | (44) ~ icext(uri_xsd_decimal, all_25_0_1)
% 3.06/1.46 |
% 3.06/1.46 | Instantiating formula (6) with all_25_0_1 and discharging atoms icext(uri_xsd_integer, all_25_0_1), ~ icext(uri_xsd_decimal, all_25_0_1), yields:
% 3.06/1.46 | (26) $false
% 3.06/1.46 |
% 3.06/1.46 |-The branch is then unsatisfiable
% 3.06/1.46 % SZS output end Proof for theBenchmark
% 3.06/1.46
% 3.06/1.46 866ms
%------------------------------------------------------------------------------