%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SWB008+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 : n029.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 20:11:37 EDT 2023 % Result : Theorem 4.14s 1.27s % Output : Proof 5.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWB008+2 : TPTP v8.1.2. Released v5.2.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.33 % Computer : n029.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Sun Aug 27 06:45:25 EDT 2023 % 0.13/0.34 % 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 modulo Linear Integer Arithmetic % 0.19/0.59 (2023-06-19) % 0.19/0.59 % 0.19/0.59 (c) Philipp Rümmer, 2009-2023 % 0.19/0.59 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.19/0.59 Amanda Stjerna. % 0.19/0.59 Free software under BSD-3-Clause. % 0.19/0.59 % 0.19/0.59 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.19/0.59 % 0.19/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.19/0.60 Running up to 7 provers in parallel. % 0.19/0.62 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.19/0.62 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.19/0.62 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.19/0.62 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.19/0.62 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.19/0.62 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.19/0.62 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.02/0.93 Prover 1: Preprocessing ... % 2.02/0.94 Prover 4: Preprocessing ... % 2.36/0.98 Prover 0: Preprocessing ... % 2.36/0.98 Prover 6: Preprocessing ... % 2.36/0.98 Prover 3: Preprocessing ... % 2.36/0.98 Prover 2: Preprocessing ... % 2.36/0.98 Prover 5: Preprocessing ... % 3.33/1.13 Prover 2: Proving ... % 3.33/1.13 Prover 6: Proving ... % 3.33/1.14 Prover 5: Proving ... % 3.52/1.14 Prover 1: Constructing countermodel ... % 3.52/1.14 Prover 3: Constructing countermodel ... % 3.52/1.18 Prover 4: Constructing countermodel ... % 3.52/1.19 Prover 0: Proving ... % 4.14/1.27 Prover 3: proved (657ms) % 4.14/1.27 % 4.14/1.27 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 4.14/1.27 % 4.14/1.27 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 4.14/1.27 Prover 5: stopped % 4.14/1.27 Prover 2: stopped % 4.14/1.27 Prover 6: stopped % 4.14/1.28 Prover 0: stopped % 4.58/1.29 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 4.58/1.29 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 4.58/1.29 Prover 1: Found proof (size 18) % 4.58/1.29 Prover 1: proved (669ms) % 4.58/1.29 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 4.58/1.29 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 4.58/1.29 Prover 4: stopped % 4.58/1.30 Prover 7: Preprocessing ... % 4.58/1.30 Prover 8: Preprocessing ... % 4.58/1.30 Prover 11: Preprocessing ... % 4.58/1.30 Prover 10: Preprocessing ... % 4.58/1.31 Prover 13: Preprocessing ... % 4.58/1.32 Prover 7: Warning: ignoring some quantifiers % 4.58/1.33 Prover 10: Warning: ignoring some quantifiers % 4.58/1.34 Prover 10: Constructing countermodel ... % 4.58/1.34 Prover 11: stopped % 4.58/1.34 Prover 7: Constructing countermodel ... % 4.58/1.34 Prover 10: stopped % 4.58/1.35 Prover 7: stopped % 4.58/1.35 Prover 13: Warning: ignoring some quantifiers % 4.58/1.35 Prover 13: Constructing countermodel ... % 5.11/1.36 Prover 13: stopped % 5.11/1.36 Prover 8: Warning: ignoring some quantifiers % 5.11/1.37 Prover 8: Constructing countermodel ... % 5.11/1.37 Prover 8: stopped % 5.11/1.37 % 5.11/1.37 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 5.11/1.37 % 5.11/1.38 % SZS output start Proof for theBenchmark % 5.11/1.38 Assumptions after simplification: % 5.11/1.38 --------------------------------- % 5.11/1.38 % 5.11/1.38 (owl_char_inversefunctional) % 5.11/1.42 $i(uri_owl_InverseFunctionalProperty) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | % 5.11/1.42 ~ (icext(uri_owl_InverseFunctionalProperty, v0) = v1) | ~ $i(v0) | ? [v2: % 5.11/1.42 $i] : ? [v3: $i] : ? [v4: $i] : ( ~ (v3 = v2) & iext(v0, v3, v4) = 0 & % 5.11/1.42 iext(v0, v2, v4) = 0 & $i(v4) & $i(v3) & $i(v2)) | ? [v2: int] : ( ~ (v2 % 5.11/1.42 = 0) & ip(v0) = v2)) & ! [v0: $i] : ( ~ % 5.11/1.42 (icext(uri_owl_InverseFunctionalProperty, v0) = 0) | ~ $i(v0) | (ip(v0) = 0 % 5.11/1.42 & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v2 = v1 | ~ (iext(v0, v2, % 5.11/1.42 v3) = 0) | ~ (iext(v0, v1, v3) = 0) | ~ $i(v3) | ~ $i(v2) | ~ % 5.11/1.42 $i(v1)))) % 5.11/1.42 % 5.11/1.42 (owl_eqdis_sameas) % 5.11/1.42 $i(uri_owl_sameAs) & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ % 5.11/1.42 (iext(uri_owl_sameAs, v0, v1) = 0) | ~ $i(v1) | ~ $i(v0)) & ! [v0: $i] : % 5.11/1.42 ! [v1: int] : (v1 = 0 | ~ (iext(uri_owl_sameAs, v0, v0) = v1) | ~ $i(v0)) % 5.11/1.42 % 5.11/1.42 (rdfs_cext_def) % 5.11/1.42 $i(uri_rdf_type) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ % 5.11/1.42 (iext(uri_rdf_type, v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( % 5.11/1.42 ~ (v3 = 0) & icext(v1, v0) = v3)) & ! [v0: $i] : ! [v1: $i] : ( ~ % 5.11/1.42 (iext(uri_rdf_type, v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | icext(v1, v0) = % 5.11/1.42 0) % 5.11/1.42 % 5.11/1.42 (testcase_conclusion_fullish_008_Inverse_Functional_Data_Properties) % 5.11/1.42 $i(uri_ex_robert) & $i(uri_ex_bob) & $i(uri_owl_sameAs) & ? [v0: int] : ( ~ % 5.11/1.43 (v0 = 0) & iext(uri_owl_sameAs, uri_ex_bob, uri_ex_robert) = v0) % 5.11/1.43 % 5.11/1.43 (testcase_premise_fullish_008_Inverse_Functional_Data_Properties) % 5.11/1.43 $i(dat_str_xyz) & $i(uri_owl_DatatypeProperty) & $i(uri_foaf_mbox_sha1sum) & % 5.11/1.43 $i(uri_ex_robert) & $i(uri_ex_bob) & $i(uri_owl_InverseFunctionalProperty) & % 5.11/1.43 $i(uri_rdf_type) & ? [v0: $i] : (literal_plain(dat_str_xyz) = v0 & % 5.11/1.43 iext(uri_foaf_mbox_sha1sum, uri_ex_robert, v0) = 0 & % 5.11/1.43 iext(uri_foaf_mbox_sha1sum, uri_ex_bob, v0) = 0 & iext(uri_rdf_type, % 5.11/1.43 uri_foaf_mbox_sha1sum, uri_owl_DatatypeProperty) = 0 & iext(uri_rdf_type, % 5.11/1.43 uri_foaf_mbox_sha1sum, uri_owl_InverseFunctionalProperty) = 0 & $i(v0)) % 5.11/1.43 % 5.11/1.43 Those formulas are unsatisfiable: % 5.11/1.43 --------------------------------- % 5.11/1.43 % 5.11/1.43 Begin of proof % 5.11/1.43 | % 5.11/1.43 | ALPHA: (rdfs_cext_def) implies: % 5.11/1.43 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ (iext(uri_rdf_type, v0, v1) = 0) | ~ % 5.11/1.43 | $i(v1) | ~ $i(v0) | icext(v1, v0) = 0) % 5.11/1.43 | % 5.11/1.43 | ALPHA: (owl_eqdis_sameas) implies: % 5.11/1.43 | (2) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (iext(uri_owl_sameAs, v0, v0) % 5.11/1.43 | = v1) | ~ $i(v0)) % 5.11/1.43 | % 5.11/1.44 | ALPHA: (owl_char_inversefunctional) implies: % 5.11/1.44 | (3) ! [v0: $i] : ( ~ (icext(uri_owl_InverseFunctionalProperty, v0) = 0) | % 5.11/1.44 | ~ $i(v0) | (ip(v0) = 0 & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : % 5.11/1.44 | (v2 = v1 | ~ (iext(v0, v2, v3) = 0) | ~ (iext(v0, v1, v3) = 0) | % 5.11/1.44 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1)))) % 5.11/1.44 | % 5.11/1.44 | ALPHA: (testcase_premise_fullish_008_Inverse_Functional_Data_Properties) % 5.11/1.44 | implies: % 5.11/1.44 | (4) $i(uri_owl_InverseFunctionalProperty) % 5.11/1.44 | (5) $i(uri_foaf_mbox_sha1sum) % 5.11/1.44 | (6) ? [v0: $i] : (literal_plain(dat_str_xyz) = v0 & % 5.11/1.44 | iext(uri_foaf_mbox_sha1sum, uri_ex_robert, v0) = 0 & % 5.11/1.44 | iext(uri_foaf_mbox_sha1sum, uri_ex_bob, v0) = 0 & iext(uri_rdf_type, % 5.11/1.44 | uri_foaf_mbox_sha1sum, uri_owl_DatatypeProperty) = 0 & % 5.11/1.44 | iext(uri_rdf_type, uri_foaf_mbox_sha1sum, % 5.11/1.44 | uri_owl_InverseFunctionalProperty) = 0 & $i(v0)) % 5.11/1.44 | % 5.11/1.44 | ALPHA: (testcase_conclusion_fullish_008_Inverse_Functional_Data_Properties) % 5.11/1.44 | implies: % 5.11/1.44 | (7) $i(uri_ex_bob) % 5.11/1.44 | (8) $i(uri_ex_robert) % 5.11/1.44 | (9) ? [v0: int] : ( ~ (v0 = 0) & iext(uri_owl_sameAs, uri_ex_bob, % 5.11/1.44 | uri_ex_robert) = v0) % 5.11/1.44 | % 5.11/1.45 | DELTA: instantiating (9) with fresh symbol all_7_0 gives: % 5.11/1.45 | (10) ~ (all_7_0 = 0) & iext(uri_owl_sameAs, uri_ex_bob, uri_ex_robert) = % 5.11/1.45 | all_7_0 % 5.11/1.45 | % 5.11/1.45 | ALPHA: (10) implies: % 5.11/1.45 | (11) ~ (all_7_0 = 0) % 5.11/1.45 | (12) iext(uri_owl_sameAs, uri_ex_bob, uri_ex_robert) = all_7_0 % 5.11/1.45 | % 5.11/1.45 | DELTA: instantiating (6) with fresh symbol all_9_0 gives: % 5.11/1.45 | (13) literal_plain(dat_str_xyz) = all_9_0 & iext(uri_foaf_mbox_sha1sum, % 5.11/1.45 | uri_ex_robert, all_9_0) = 0 & iext(uri_foaf_mbox_sha1sum, % 5.11/1.45 | uri_ex_bob, all_9_0) = 0 & iext(uri_rdf_type, uri_foaf_mbox_sha1sum, % 5.11/1.45 | uri_owl_DatatypeProperty) = 0 & iext(uri_rdf_type, % 5.11/1.45 | uri_foaf_mbox_sha1sum, uri_owl_InverseFunctionalProperty) = 0 & % 5.11/1.45 | $i(all_9_0) % 5.11/1.45 | % 5.11/1.45 | ALPHA: (13) implies: % 5.11/1.45 | (14) $i(all_9_0) % 5.11/1.45 | (15) iext(uri_rdf_type, uri_foaf_mbox_sha1sum, % 5.11/1.45 | uri_owl_InverseFunctionalProperty) = 0 % 5.11/1.45 | (16) iext(uri_foaf_mbox_sha1sum, uri_ex_bob, all_9_0) = 0 % 5.11/1.45 | (17) iext(uri_foaf_mbox_sha1sum, uri_ex_robert, all_9_0) = 0 % 5.11/1.45 | % 5.11/1.45 | GROUND_INST: instantiating (1) with uri_foaf_mbox_sha1sum, % 5.11/1.45 | uri_owl_InverseFunctionalProperty, simplifying with (4), (5), % 5.11/1.45 | (15) gives: % 5.11/1.45 | (18) icext(uri_owl_InverseFunctionalProperty, uri_foaf_mbox_sha1sum) = 0 % 5.11/1.45 | % 5.11/1.45 | GROUND_INST: instantiating (3) with uri_foaf_mbox_sha1sum, simplifying with % 5.11/1.45 | (5), (18) gives: % 5.11/1.45 | (19) ip(uri_foaf_mbox_sha1sum) = 0 & ! [v0: $i] : ! [v1: $i] : ! [v2: % 5.11/1.45 | $i] : (v1 = v0 | ~ (iext(uri_foaf_mbox_sha1sum, v1, v2) = 0) | ~ % 5.11/1.45 | (iext(uri_foaf_mbox_sha1sum, v0, v2) = 0) | ~ $i(v2) | ~ $i(v1) | % 5.11/1.45 | ~ $i(v0)) % 5.11/1.45 | % 5.11/1.45 | ALPHA: (19) implies: % 5.11/1.46 | (20) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 5.11/1.46 | (iext(uri_foaf_mbox_sha1sum, v1, v2) = 0) | ~ % 5.11/1.46 | (iext(uri_foaf_mbox_sha1sum, v0, v2) = 0) | ~ $i(v2) | ~ $i(v1) | % 5.11/1.46 | ~ $i(v0)) % 5.11/1.46 | % 5.11/1.46 | GROUND_INST: instantiating (20) with uri_ex_bob, uri_ex_robert, all_9_0, % 5.11/1.46 | simplifying with (7), (8), (14), (16), (17) gives: % 5.11/1.46 | (21) uri_ex_robert = uri_ex_bob % 5.11/1.46 | % 5.11/1.46 | REDUCE: (12), (21) imply: % 5.11/1.46 | (22) iext(uri_owl_sameAs, uri_ex_bob, uri_ex_bob) = all_7_0 % 5.11/1.46 | % 5.11/1.46 | GROUND_INST: instantiating (2) with uri_ex_bob, all_7_0, simplifying with (7), % 5.11/1.46 | (22) gives: % 5.11/1.46 | (23) all_7_0 = 0 % 5.11/1.46 | % 5.11/1.46 | REDUCE: (11), (23) imply: % 5.11/1.46 | (24) $false % 5.11/1.46 | % 5.11/1.46 | CLOSE: (24) is inconsistent. % 5.11/1.46 | % 5.11/1.46 End of proof % 5.11/1.46 % SZS output end Proof for theBenchmark % 5.11/1.46 % 5.11/1.46 867ms %------------------------------------------------------------------------------