TSTP Solution File: SWB001+2 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SWB001+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 : n032.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 20:11:31 EDT 2023
% Result : Theorem 2.08s 0.92s
% Output : Proof 2.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWB001+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.11 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Sun Aug 27 07:00:59 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.16/0.53 ________ _____
% 0.16/0.53 ___ __ \_________(_)________________________________
% 0.16/0.53 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.16/0.53 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.16/0.53 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.16/0.53
% 0.16/0.53 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.16/0.53 (2023-06-19)
% 0.16/0.53
% 0.16/0.53 (c) Philipp Rümmer, 2009-2023
% 0.16/0.53 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.16/0.53 Amanda Stjerna.
% 0.16/0.53 Free software under BSD-3-Clause.
% 0.16/0.53
% 0.16/0.53 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.16/0.53
% 0.16/0.53 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.16/0.54 Running up to 7 provers in parallel.
% 0.16/0.55 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.16/0.55 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.16/0.55 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.16/0.55 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.16/0.55 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.16/0.55 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.16/0.55 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 0.80/0.81 Prover 1: Preprocessing ...
% 0.80/0.82 Prover 4: Preprocessing ...
% 1.62/0.86 Prover 3: Preprocessing ...
% 1.62/0.86 Prover 0: Preprocessing ...
% 1.62/0.86 Prover 2: Preprocessing ...
% 1.62/0.86 Prover 6: Preprocessing ...
% 1.62/0.86 Prover 5: Preprocessing ...
% 1.62/0.89 Prover 5: Constructing countermodel ...
% 1.62/0.89 Prover 6: Constructing countermodel ...
% 1.62/0.89 Prover 0: Constructing countermodel ...
% 1.62/0.89 Prover 3: Constructing countermodel ...
% 1.62/0.89 Prover 2: Constructing countermodel ...
% 1.62/0.89 Prover 4: Constructing countermodel ...
% 1.62/0.89 Prover 1: Constructing countermodel ...
% 2.08/0.92 Prover 3: proved (369ms)
% 2.08/0.92 Prover 0: proved (373ms)
% 2.08/0.92 Prover 6: proved (367ms)
% 2.08/0.92
% 2.08/0.92 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.08/0.92
% 2.08/0.92
% 2.08/0.92 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.08/0.92
% 2.08/0.92
% 2.08/0.92 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.08/0.92
% 2.08/0.92 Prover 2: proved (372ms)
% 2.08/0.92
% 2.08/0.92 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.08/0.92
% 2.08/0.94 Prover 5: proved (369ms)
% 2.08/0.94
% 2.08/0.94 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.08/0.94
% 2.08/0.95 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 2.08/0.95 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 2.08/0.95 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 2.08/0.95 Prover 8: Preprocessing ...
% 2.08/0.95 Prover 7: Preprocessing ...
% 2.08/0.95 Prover 10: Preprocessing ...
% 2.08/0.95 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 2.08/0.95 Prover 10: Constructing countermodel ...
% 2.08/0.95 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 2.08/0.95 Prover 7: Constructing countermodel ...
% 2.08/0.96 Prover 13: Preprocessing ...
% 2.08/0.96 Prover 11: Preprocessing ...
% 2.08/0.97 Prover 8: Constructing countermodel ...
% 2.08/0.97 Prover 13: Constructing countermodel ...
% 2.08/0.98 Prover 11: Constructing countermodel ...
% 2.61/1.01 Prover 7: Found proof (size 7)
% 2.61/1.01 Prover 13: Found proof (size 7)
% 2.61/1.01 Prover 13: proved (59ms)
% 2.61/1.01 Prover 7: proved (83ms)
% 2.61/1.01 Prover 11: stopped
% 2.61/1.01 Prover 8: stopped
% 2.61/1.01 Prover 1: stopped
% 2.61/1.01 Prover 4: stopped
% 2.61/1.01 Prover 10: Found proof (size 7)
% 2.61/1.01 Prover 10: proved (82ms)
% 2.61/1.01
% 2.61/1.01 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.61/1.01
% 2.61/1.01 % SZS output start Proof for theBenchmark
% 2.61/1.01 Assumptions after simplification:
% 2.61/1.01 ---------------------------------
% 2.61/1.01
% 2.61/1.01 (testcase_conclusion_fullish_001_Subgraph_Entailment)
% 2.61/1.02 $i(uri_ex_p) & $i(uri_owl_onProperty) & $i(uri_owl_Restriction) & $i(uri_ex_r)
% 2.61/1.02 & $i(uri_rdf_type) & ( ~ iext(uri_owl_onProperty, uri_ex_r, uri_ex_p) | ~
% 2.61/1.02 iext(uri_rdf_type, uri_ex_r, uri_owl_Restriction))
% 2.61/1.02
% 2.61/1.02 (testcase_premise_fullish_001_Subgraph_Entailment)
% 2.61/1.02 $i(uri_ex_d) & $i(uri_owl_someValuesFrom) & $i(uri_ex_c) &
% 2.61/1.02 $i(uri_rdfs_subClassOf) & $i(uri_ex_p) & $i(uri_owl_onProperty) &
% 2.61/1.02 $i(uri_owl_Restriction) & $i(uri_ex_r) & $i(uri_rdf_type) &
% 2.61/1.02 iext(uri_owl_someValuesFrom, uri_ex_r, uri_ex_d) & iext(uri_rdfs_subClassOf,
% 2.61/1.02 uri_ex_c, uri_ex_r) & iext(uri_owl_onProperty, uri_ex_r, uri_ex_p) &
% 2.61/1.02 iext(uri_rdf_type, uri_ex_r, uri_owl_Restriction)
% 2.61/1.03
% 2.61/1.03 Those formulas are unsatisfiable:
% 2.61/1.03 ---------------------------------
% 2.61/1.03
% 2.61/1.03 Begin of proof
% 2.61/1.03 |
% 2.61/1.03 | ALPHA: (testcase_conclusion_fullish_001_Subgraph_Entailment) implies:
% 2.61/1.03 | (1) ~ iext(uri_owl_onProperty, uri_ex_r, uri_ex_p) | ~ iext(uri_rdf_type,
% 2.61/1.03 | uri_ex_r, uri_owl_Restriction)
% 2.61/1.03 |
% 2.61/1.03 | ALPHA: (testcase_premise_fullish_001_Subgraph_Entailment) implies:
% 2.61/1.03 | (2) iext(uri_rdf_type, uri_ex_r, uri_owl_Restriction)
% 2.61/1.03 | (3) iext(uri_owl_onProperty, uri_ex_r, uri_ex_p)
% 2.61/1.03 |
% 2.61/1.03 | BETA: splitting (1) gives:
% 2.61/1.03 |
% 2.61/1.03 | Case 1:
% 2.61/1.03 | |
% 2.61/1.03 | | (4) ~ iext(uri_owl_onProperty, uri_ex_r, uri_ex_p)
% 2.61/1.03 | |
% 2.61/1.03 | | PRED_UNIFY: (3), (4) imply:
% 2.61/1.03 | | (5) $false
% 2.61/1.03 | |
% 2.61/1.03 | | CLOSE: (5) is inconsistent.
% 2.61/1.03 | |
% 2.61/1.03 | Case 2:
% 2.61/1.03 | |
% 2.61/1.03 | | (6) ~ iext(uri_rdf_type, uri_ex_r, uri_owl_Restriction)
% 2.61/1.03 | |
% 2.61/1.03 | | PRED_UNIFY: (2), (6) imply:
% 2.61/1.03 | | (7) $false
% 2.61/1.03 | |
% 2.61/1.03 | | CLOSE: (7) is inconsistent.
% 2.61/1.03 | |
% 2.61/1.03 | End of split
% 2.61/1.03 |
% 2.61/1.03 End of proof
% 2.61/1.04 % SZS output end Proof for theBenchmark
% 2.61/1.04
% 2.61/1.04 506ms
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