TSTP Solution File: SWB025+2 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWB025+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n025.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 18:59:42 EDT 2022
% Result : Theorem 2.42s 1.23s
% Output : Proof 3.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWB025+2 : TPTP v8.1.0. Released v5.2.0.
% 0.06/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 1 08:35:43 EDT 2022
% 0.12/0.33 % 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 ...
% 0.53/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.46/0.89 Prover 0: Preprocessing ...
% 1.74/1.02 Prover 0: Constructing countermodel ...
% 2.42/1.23 Prover 0: proved (602ms)
% 2.42/1.23
% 2.42/1.23 No countermodel exists, formula is valid
% 2.42/1.23 % SZS status Theorem for theBenchmark
% 2.42/1.23
% 2.42/1.23 Generating proof ... found it (size 9)
% 3.76/1.48
% 3.76/1.48 % SZS output start Proof for theBenchmark
% 3.76/1.48 Assumed formulas after preprocessing and simplification:
% 3.76/1.48 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (iext(uri_ex_hasFather, uri_ex_bob, uri_ex_charly) & iext(uri_ex_hasFather, uri_ex_alice, uri_ex_dave) & iext(uri_ex_hasCousin, uri_ex_alice, uri_ex_bob) & iext(uri_ex_hasUncle, uri_ex_bob, uri_ex_dave) & iext(uri_owl_inverseOf, v4, uri_ex_hasFather) & iext(uri_owl_propertyChainAxiom, uri_ex_hasCousin, v2) & iext(uri_owl_propertyChainAxiom, uri_ex_hasUncle, v0) & iext(uri_rdf_rest, v3, uri_rdf_nil) & iext(uri_rdf_rest, v2, v3) & iext(uri_rdf_rest, v1, uri_rdf_nil) & iext(uri_rdf_rest, v0, v1) & iext(uri_rdf_first, v3, v4) & iext(uri_rdf_first, v2, uri_ex_hasUncle) & iext(uri_rdf_first, v1, uri_ex_hasFather) & iext(uri_rdf_first, v0, uri_ex_hasCousin) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ iext(v9, v11, v12) | ~ iext(v7, v10, v11) | ~ iext(uri_owl_propertyChainAxiom, v5, v6) | ~ iext(uri_rdf_rest, v8, uri_rdf_nil) | ~ iext(uri_rdf_rest, v6, v8) | ~ iext(uri_rdf_first, v8, v9) | ~ iext(uri_rdf_first, v6, v7) | iext(v5, v10, v12)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ ip(v9) | ~ ip(v7) | ~ ip(v5) | ~ iext(uri_rdf_rest, v8, uri_rdf_nil) | ~ iext(uri_rdf_rest, v6, v8) | ~ iext(uri_rdf_first, v8, v9) | ~ iext(uri_rdf_first, v6, v7) | iext(uri_owl_propertyChainAxiom, v5, v6) | ? [v10] : ? [v11] : ? [v12] : (iext(v9, v11, v12) & iext(v7, v10, v11) & ~ iext(v5, v10, v12))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ iext(uri_owl_propertyChainAxiom, v5, v6) | ~ iext(uri_rdf_rest, v8, uri_rdf_nil) | ~ iext(uri_rdf_rest, v6, v8) | ~ iext(uri_rdf_first, v8, v9) | ~ iext(uri_rdf_first, v6, v7) | ip(v9)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ iext(uri_owl_propertyChainAxiom, v5, v6) | ~ iext(uri_rdf_rest, v8, uri_rdf_nil) | ~ iext(uri_rdf_rest, v6, v8) | ~ iext(uri_rdf_first, v8, v9) | ~ iext(uri_rdf_first, v6, v7) | ip(v7)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ iext(uri_owl_propertyChainAxiom, v5, v6) | ~ iext(uri_rdf_rest, v8, uri_rdf_nil) | ~ iext(uri_rdf_rest, v6, v8) | ~ iext(uri_rdf_first, v8, v9) | ~ iext(uri_rdf_first, v6, v7) | ip(v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ iext(v6, v8, v7) | ~ iext(uri_owl_inverseOf, v5, v6) | iext(v5, v7, v8)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ iext(v5, v7, v8) | ~ iext(uri_owl_inverseOf, v5, v6) | iext(v6, v8, v7)) & ! [v5] : ! [v6] : ( ~ ip(v6) | ~ ip(v5) | iext(uri_owl_inverseOf, v5, v6) | ? [v7] : ? [v8] : (( ~ iext(v6, v8, v7) | ~ iext(v5, v7, v8)) & (iext(v6, v8, v7) | iext(v5, v7, v8)))) & ! [v5] : ! [v6] : ( ~ iext(uri_owl_inverseOf, v5, v6) | ip(v6)) & ! [v5] : ! [v6] : ( ~ iext(uri_owl_inverseOf, v5, v6) | ip(v5)) & ( ~ iext(uri_ex_hasCousin, uri_ex_bob, uri_ex_alice) | ~ iext(uri_ex_hasUncle, uri_ex_alice, uri_ex_charly)))
% 3.76/1.49 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4 yields:
% 3.76/1.49 | (1) iext(uri_ex_hasFather, uri_ex_bob, uri_ex_charly) & iext(uri_ex_hasFather, uri_ex_alice, uri_ex_dave) & iext(uri_ex_hasCousin, uri_ex_alice, uri_ex_bob) & iext(uri_ex_hasUncle, uri_ex_bob, uri_ex_dave) & iext(uri_owl_inverseOf, all_0_0_0, uri_ex_hasFather) & iext(uri_owl_propertyChainAxiom, uri_ex_hasCousin, all_0_2_2) & iext(uri_owl_propertyChainAxiom, uri_ex_hasUncle, all_0_4_4) & iext(uri_rdf_rest, all_0_1_1, uri_rdf_nil) & iext(uri_rdf_rest, all_0_2_2, all_0_1_1) & iext(uri_rdf_rest, all_0_3_3, uri_rdf_nil) & iext(uri_rdf_rest, all_0_4_4, all_0_3_3) & iext(uri_rdf_first, all_0_1_1, all_0_0_0) & iext(uri_rdf_first, all_0_2_2, uri_ex_hasUncle) & iext(uri_rdf_first, all_0_3_3, uri_ex_hasFather) & iext(uri_rdf_first, all_0_4_4, uri_ex_hasCousin) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ iext(v4, v6, v7) | ~ iext(v2, v5, v6) | ~ iext(uri_owl_propertyChainAxiom, 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) | iext(v0, v5, v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ ip(v4) | ~ ip(v2) | ~ ip(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_propertyChainAxiom, v0, v1) | ? [v5] : ? [v6] : ? [v7] : (iext(v4, v6, v7) & iext(v2, v5, v6) & ~ iext(v0, v5, v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ iext(uri_owl_propertyChainAxiom, 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) | ip(v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ iext(uri_owl_propertyChainAxiom, 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) | ip(v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ iext(uri_owl_propertyChainAxiom, 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) | ip(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ iext(v1, v3, v2) | ~ iext(uri_owl_inverseOf, v0, v1) | iext(v0, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ iext(v0, v2, v3) | ~ iext(uri_owl_inverseOf, v0, v1) | iext(v1, v3, v2)) & ! [v0] : ! [v1] : ( ~ ip(v1) | ~ ip(v0) | iext(uri_owl_inverseOf, v0, v1) | ? [v2] : ? [v3] : (( ~ iext(v1, v3, v2) | ~ iext(v0, v2, v3)) & (iext(v1, v3, v2) | iext(v0, v2, v3)))) & ! [v0] : ! [v1] : ( ~ iext(uri_owl_inverseOf, v0, v1) | ip(v1)) & ! [v0] : ! [v1] : ( ~ iext(uri_owl_inverseOf, v0, v1) | ip(v0)) & ( ~ iext(uri_ex_hasCousin, uri_ex_bob, uri_ex_alice) | ~ iext(uri_ex_hasUncle, uri_ex_alice, uri_ex_charly))
% 3.76/1.50 |
% 3.76/1.50 | Applying alpha-rule on (1) yields:
% 3.76/1.50 | (2) iext(uri_rdf_rest, all_0_4_4, all_0_3_3)
% 3.76/1.50 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ iext(v1, v3, v2) | ~ iext(uri_owl_inverseOf, v0, v1) | iext(v0, v2, v3))
% 3.76/1.50 | (4) iext(uri_rdf_first, all_0_3_3, uri_ex_hasFather)
% 3.76/1.50 | (5) ! [v0] : ! [v1] : ( ~ iext(uri_owl_inverseOf, v0, v1) | ip(v1))
% 3.76/1.50 | (6) iext(uri_rdf_rest, all_0_3_3, uri_rdf_nil)
% 3.76/1.50 | (7) iext(uri_owl_propertyChainAxiom, uri_ex_hasUncle, all_0_4_4)
% 3.76/1.50 | (8) ! [v0] : ! [v1] : ( ~ iext(uri_owl_inverseOf, v0, v1) | ip(v0))
% 3.76/1.50 | (9) iext(uri_ex_hasFather, uri_ex_alice, uri_ex_dave)
% 3.76/1.50 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ iext(uri_owl_propertyChainAxiom, 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) | ip(v4))
% 3.76/1.50 | (11) iext(uri_owl_propertyChainAxiom, uri_ex_hasCousin, all_0_2_2)
% 3.76/1.50 | (12) iext(uri_owl_inverseOf, all_0_0_0, uri_ex_hasFather)
% 3.76/1.50 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ ip(v4) | ~ ip(v2) | ~ ip(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_propertyChainAxiom, v0, v1) | ? [v5] : ? [v6] : ? [v7] : (iext(v4, v6, v7) & iext(v2, v5, v6) & ~ iext(v0, v5, v7)))
% 3.76/1.51 | (14) iext(uri_ex_hasFather, uri_ex_bob, uri_ex_charly)
% 3.76/1.51 | (15) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ iext(uri_owl_propertyChainAxiom, 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) | ip(v2))
% 3.76/1.51 | (16) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ iext(v4, v6, v7) | ~ iext(v2, v5, v6) | ~ iext(uri_owl_propertyChainAxiom, 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) | iext(v0, v5, v7))
% 3.76/1.51 | (17) iext(uri_rdf_first, all_0_4_4, uri_ex_hasCousin)
% 3.76/1.51 | (18) iext(uri_ex_hasCousin, uri_ex_alice, uri_ex_bob)
% 3.76/1.51 | (19) iext(uri_rdf_rest, all_0_1_1, uri_rdf_nil)
% 3.76/1.51 | (20) ! [v0] : ! [v1] : ( ~ ip(v1) | ~ ip(v0) | iext(uri_owl_inverseOf, v0, v1) | ? [v2] : ? [v3] : (( ~ iext(v1, v3, v2) | ~ iext(v0, v2, v3)) & (iext(v1, v3, v2) | iext(v0, v2, v3))))
% 3.76/1.51 | (21) ~ iext(uri_ex_hasCousin, uri_ex_bob, uri_ex_alice) | ~ iext(uri_ex_hasUncle, uri_ex_alice, uri_ex_charly)
% 3.76/1.51 | (22) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ iext(v0, v2, v3) | ~ iext(uri_owl_inverseOf, v0, v1) | iext(v1, v3, v2))
% 3.76/1.51 | (23) iext(uri_rdf_first, all_0_2_2, uri_ex_hasUncle)
% 3.76/1.51 | (24) iext(uri_rdf_first, all_0_1_1, all_0_0_0)
% 3.76/1.51 | (25) iext(uri_rdf_rest, all_0_2_2, all_0_1_1)
% 3.76/1.51 | (26) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ iext(uri_owl_propertyChainAxiom, 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) | ip(v0))
% 3.76/1.51 | (27) iext(uri_ex_hasUncle, uri_ex_bob, uri_ex_dave)
% 3.76/1.51 |
% 3.76/1.51 | Instantiating formula (3) with uri_ex_alice, uri_ex_dave, uri_ex_hasFather, all_0_0_0 and discharging atoms iext(uri_ex_hasFather, uri_ex_alice, uri_ex_dave), iext(uri_owl_inverseOf, all_0_0_0, uri_ex_hasFather), yields:
% 3.76/1.51 | (28) iext(all_0_0_0, uri_ex_dave, uri_ex_alice)
% 3.76/1.51 |
% 3.76/1.51 | Instantiating formula (16) with uri_ex_charly, uri_ex_bob, uri_ex_alice, uri_ex_hasFather, all_0_3_3, uri_ex_hasCousin, all_0_4_4, uri_ex_hasUncle and discharging atoms iext(uri_ex_hasFather, uri_ex_bob, uri_ex_charly), iext(uri_ex_hasCousin, uri_ex_alice, uri_ex_bob), iext(uri_owl_propertyChainAxiom, uri_ex_hasUncle, all_0_4_4), iext(uri_rdf_rest, all_0_3_3, uri_rdf_nil), iext(uri_rdf_rest, all_0_4_4, all_0_3_3), iext(uri_rdf_first, all_0_3_3, uri_ex_hasFather), iext(uri_rdf_first, all_0_4_4, uri_ex_hasCousin), yields:
% 3.76/1.51 | (29) iext(uri_ex_hasUncle, uri_ex_alice, uri_ex_charly)
% 3.76/1.51 |
% 3.76/1.51 +-Applying beta-rule and splitting (21), into two cases.
% 3.76/1.51 |-Branch one:
% 3.76/1.51 | (30) ~ iext(uri_ex_hasCousin, uri_ex_bob, uri_ex_alice)
% 3.76/1.51 |
% 3.76/1.51 | Instantiating formula (16) with uri_ex_alice, uri_ex_dave, uri_ex_bob, all_0_0_0, all_0_1_1, uri_ex_hasUncle, all_0_2_2, uri_ex_hasCousin and discharging atoms iext(all_0_0_0, uri_ex_dave, uri_ex_alice), iext(uri_ex_hasUncle, uri_ex_bob, uri_ex_dave), iext(uri_owl_propertyChainAxiom, uri_ex_hasCousin, all_0_2_2), iext(uri_rdf_rest, all_0_1_1, uri_rdf_nil), iext(uri_rdf_rest, all_0_2_2, all_0_1_1), iext(uri_rdf_first, all_0_1_1, all_0_0_0), iext(uri_rdf_first, all_0_2_2, uri_ex_hasUncle), ~ iext(uri_ex_hasCousin, uri_ex_bob, uri_ex_alice), yields:
% 3.76/1.51 | (31) $false
% 3.76/1.51 |
% 3.76/1.51 |-The branch is then unsatisfiable
% 3.76/1.51 |-Branch two:
% 3.76/1.51 | (32) iext(uri_ex_hasCousin, uri_ex_bob, uri_ex_alice)
% 3.76/1.51 | (33) ~ iext(uri_ex_hasUncle, uri_ex_alice, uri_ex_charly)
% 3.76/1.51 |
% 3.76/1.52 | Using (29) and (33) yields:
% 3.76/1.52 | (31) $false
% 3.76/1.52 |
% 3.76/1.52 |-The branch is then unsatisfiable
% 3.76/1.52 % SZS output end Proof for theBenchmark
% 3.76/1.52
% 3.76/1.52 927ms
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