TSTP Solution File: SWB008+2 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWB008+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n019.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 18:59:36 EDT 2022
% Result : Theorem 2.77s 1.43s
% Output : Proof 3.50s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWB008+2 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.34 % Computer : n019.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 : 600
% 0.12/0.34 % DateTime : Wed Jun 1 02:36:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.59 ____ _
% 0.19/0.59 ___ / __ \_____(_)___ ________ __________
% 0.19/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.19/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.19/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.19/0.59
% 0.19/0.59 A Theorem Prover for First-Order Logic
% 0.19/0.59 (ePrincess v.1.0)
% 0.19/0.59
% 0.19/0.59 (c) Philipp Rümmer, 2009-2015
% 0.19/0.59 (c) Peter Backeman, 2014-2015
% 0.19/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.19/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.19/0.59 Bug reports to peter@backeman.se
% 0.19/0.59
% 0.19/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.19/0.59
% 0.19/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.70/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.29/0.90 Prover 0: Preprocessing ...
% 1.36/1.00 Prover 0: Warning: ignoring some quantifiers
% 1.52/1.01 Prover 0: Constructing countermodel ...
% 2.27/1.31 Prover 0: gave up
% 2.27/1.31 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 2.27/1.32 Prover 1: Preprocessing ...
% 2.55/1.39 Prover 1: Constructing countermodel ...
% 2.77/1.43 Prover 1: proved (121ms)
% 2.77/1.43
% 2.77/1.43 No countermodel exists, formula is valid
% 2.77/1.43 % SZS status Theorem for theBenchmark
% 2.77/1.43
% 2.77/1.43 Generating proof ... found it (size 11)
% 3.21/1.60
% 3.21/1.60 % SZS output start Proof for theBenchmark
% 3.21/1.60 Assumed formulas after preprocessing and simplification:
% 3.21/1.60 | (0) ? [v0] : ? [v1] : ( ~ (v1 = 0) & literal_plain(dat_str_xyz) = v0 & iext(uri_foaf_mbox_sha1sum, uri_ex_robert, v0) = 0 & iext(uri_foaf_mbox_sha1sum, uri_ex_bob, v0) = 0 & iext(uri_owl_sameAs, uri_ex_bob, uri_ex_robert) = v1 & iext(uri_rdf_type, uri_foaf_mbox_sha1sum, uri_owl_DatatypeProperty) = 0 & iext(uri_rdf_type, uri_foaf_mbox_sha1sum, uri_owl_InverseFunctionalProperty) = 0 & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v3 = v2 | ~ (iext(v6, v5, v4) = v3) | ~ (iext(v6, v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = v3 | ~ (iext(v2, v4, v5) = 0) | ~ (iext(v2, v3, v5) = 0) | ~ (icext(uri_owl_InverseFunctionalProperty, v2) = 0)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ (icext(v5, v4) = v3) | ~ (icext(v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (iext(uri_rdf_type, v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & icext(v3, v2) = v5)) & ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (literal_plain(v4) = v3) | ~ (literal_plain(v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (ip(v4) = v3) | ~ (ip(v4) = v2)) & ! [v2] : ! [v3] : (v3 = v2 | ~ (iext(uri_owl_sameAs, v2, v3) = 0)) & ! [v2] : ! [v3] : (v3 = 0 | ~ (iext(uri_owl_sameAs, v2, v2) = v3)) & ! [v2] : ! [v3] : (v3 = 0 | ~ (icext(uri_owl_InverseFunctionalProperty, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ((v8 = 0 & v7 = 0 & ~ (v5 = v4) & iext(v2, v5, v6) = 0 & iext(v2, v4, v6) = 0) | ( ~ (v4 = 0) & ip(v2) = v4))) & ! [v2] : ! [v3] : ( ~ (iext(uri_rdf_type, v2, v3) = 0) | icext(v3, v2) = 0) & ! [v2] : ( ~ (icext(uri_owl_InverseFunctionalProperty, v2) = 0) | ip(v2) = 0))
% 3.21/1.63 | Instantiating (0) with all_0_0_0, all_0_1_1 yields:
% 3.21/1.63 | (1) ~ (all_0_0_0 = 0) & literal_plain(dat_str_xyz) = all_0_1_1 & iext(uri_foaf_mbox_sha1sum, uri_ex_robert, all_0_1_1) = 0 & iext(uri_foaf_mbox_sha1sum, uri_ex_bob, all_0_1_1) = 0 & iext(uri_owl_sameAs, uri_ex_bob, uri_ex_robert) = all_0_0_0 & iext(uri_rdf_type, uri_foaf_mbox_sha1sum, uri_owl_DatatypeProperty) = 0 & iext(uri_rdf_type, uri_foaf_mbox_sha1sum, uri_owl_InverseFunctionalProperty) = 0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (iext(v4, v3, v2) = v1) | ~ (iext(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (iext(v0, v2, v3) = 0) | ~ (iext(v0, v1, v3) = 0) | ~ (icext(uri_owl_InverseFunctionalProperty, v0) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (icext(v3, v2) = v1) | ~ (icext(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (iext(uri_rdf_type, v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & icext(v1, v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (literal_plain(v2) = v1) | ~ (literal_plain(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ip(v2) = v1) | ~ (ip(v2) = v0)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (iext(uri_owl_sameAs, v0, v1) = 0)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (iext(uri_owl_sameAs, v0, v0) = v1)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (icext(uri_owl_InverseFunctionalProperty, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ((v6 = 0 & v5 = 0 & ~ (v3 = v2) & iext(v0, v3, v4) = 0 & iext(v0, v2, v4) = 0) | ( ~ (v2 = 0) & ip(v0) = v2))) & ! [v0] : ! [v1] : ( ~ (iext(uri_rdf_type, v0, v1) = 0) | icext(v1, v0) = 0) & ! [v0] : ( ~ (icext(uri_owl_InverseFunctionalProperty, v0) = 0) | ip(v0) = 0)
% 3.50/1.63 |
% 3.50/1.63 | Applying alpha-rule on (1) yields:
% 3.50/1.63 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (iext(v0, v2, v3) = 0) | ~ (iext(v0, v1, v3) = 0) | ~ (icext(uri_owl_InverseFunctionalProperty, v0) = 0))
% 3.50/1.63 | (3) iext(uri_foaf_mbox_sha1sum, uri_ex_robert, all_0_1_1) = 0
% 3.50/1.63 | (4) ! [v0] : ! [v1] : (v1 = v0 | ~ (iext(uri_owl_sameAs, v0, v1) = 0))
% 3.50/1.63 | (5) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (icext(v3, v2) = v1) | ~ (icext(v3, v2) = v0))
% 3.50/1.63 | (6) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (iext(uri_rdf_type, v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & icext(v1, v0) = v3))
% 3.50/1.64 | (7) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ip(v2) = v1) | ~ (ip(v2) = v0))
% 3.50/1.64 | (8) iext(uri_rdf_type, uri_foaf_mbox_sha1sum, uri_owl_DatatypeProperty) = 0
% 3.50/1.64 | (9) iext(uri_owl_sameAs, uri_ex_bob, uri_ex_robert) = all_0_0_0
% 3.50/1.64 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (iext(v4, v3, v2) = v1) | ~ (iext(v4, v3, v2) = v0))
% 3.50/1.64 | (11) literal_plain(dat_str_xyz) = all_0_1_1
% 3.50/1.64 | (12) iext(uri_rdf_type, uri_foaf_mbox_sha1sum, uri_owl_InverseFunctionalProperty) = 0
% 3.50/1.64 | (13) ~ (all_0_0_0 = 0)
% 3.50/1.64 | (14) ! [v0] : ( ~ (icext(uri_owl_InverseFunctionalProperty, v0) = 0) | ip(v0) = 0)
% 3.50/1.64 | (15) iext(uri_foaf_mbox_sha1sum, uri_ex_bob, all_0_1_1) = 0
% 3.50/1.64 | (16) ! [v0] : ! [v1] : (v1 = 0 | ~ (icext(uri_owl_InverseFunctionalProperty, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ((v6 = 0 & v5 = 0 & ~ (v3 = v2) & iext(v0, v3, v4) = 0 & iext(v0, v2, v4) = 0) | ( ~ (v2 = 0) & ip(v0) = v2)))
% 3.50/1.64 | (17) ! [v0] : ! [v1] : ( ~ (iext(uri_rdf_type, v0, v1) = 0) | icext(v1, v0) = 0)
% 3.50/1.64 | (18) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (literal_plain(v2) = v1) | ~ (literal_plain(v2) = v0))
% 3.50/1.64 | (19) ! [v0] : ! [v1] : (v1 = 0 | ~ (iext(uri_owl_sameAs, v0, v0) = v1))
% 3.50/1.64 |
% 3.50/1.64 | Instantiating formula (19) with all_0_0_0, uri_ex_bob yields:
% 3.50/1.64 | (20) all_0_0_0 = 0 | ~ (iext(uri_owl_sameAs, uri_ex_bob, uri_ex_bob) = all_0_0_0)
% 3.50/1.64 |
% 3.50/1.64 | Instantiating formula (17) with uri_owl_InverseFunctionalProperty, uri_foaf_mbox_sha1sum and discharging atoms iext(uri_rdf_type, uri_foaf_mbox_sha1sum, uri_owl_InverseFunctionalProperty) = 0, yields:
% 3.50/1.64 | (21) icext(uri_owl_InverseFunctionalProperty, uri_foaf_mbox_sha1sum) = 0
% 3.50/1.64 |
% 3.50/1.64 +-Applying beta-rule and splitting (20), into two cases.
% 3.50/1.64 |-Branch one:
% 3.50/1.64 | (22) ~ (iext(uri_owl_sameAs, uri_ex_bob, uri_ex_bob) = all_0_0_0)
% 3.50/1.64 |
% 3.50/1.64 | Instantiating formula (2) with all_0_1_1, uri_ex_robert, uri_ex_bob, uri_foaf_mbox_sha1sum and discharging atoms iext(uri_foaf_mbox_sha1sum, uri_ex_robert, all_0_1_1) = 0, iext(uri_foaf_mbox_sha1sum, uri_ex_bob, all_0_1_1) = 0, icext(uri_owl_InverseFunctionalProperty, uri_foaf_mbox_sha1sum) = 0, yields:
% 3.50/1.64 | (23) uri_ex_robert = uri_ex_bob
% 3.50/1.64 |
% 3.50/1.64 | Using (9) and (22) yields:
% 3.50/1.64 | (24) ~ (uri_ex_robert = uri_ex_bob)
% 3.50/1.64 |
% 3.50/1.64 | Equations (23) can reduce 24 to:
% 3.50/1.64 | (25) $false
% 3.50/1.64 |
% 3.50/1.64 |-The branch is then unsatisfiable
% 3.50/1.64 |-Branch two:
% 3.50/1.64 | (26) iext(uri_owl_sameAs, uri_ex_bob, uri_ex_bob) = all_0_0_0
% 3.50/1.64 | (27) all_0_0_0 = 0
% 3.50/1.64 |
% 3.50/1.64 | Equations (27) can reduce 13 to:
% 3.50/1.64 | (25) $false
% 3.50/1.64 |
% 3.50/1.64 |-The branch is then unsatisfiable
% 3.50/1.64 % SZS output end Proof for theBenchmark
% 3.50/1.64
% 3.50/1.64 1042ms
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