TSTP Solution File: SWB011+2 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SWB011+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 : 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 : 300s
% DateTime : Thu Aug 31 20:11:39 EDT 2023
% Result : Unsatisfiable 2.83s 1.53s
% Output : Proof 4.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.16 % Problem : SWB011+2 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.18 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.08/0.37 % Computer : n022.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8042.1875MB
% 0.08/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Sun Aug 27 06:57:54 EDT 2023
% 0.08/0.38 % CPUTime :
% 0.13/0.67 ________ _____
% 0.13/0.67 ___ __ \_________(_)________________________________
% 0.13/0.67 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.13/0.67 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.13/0.67 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.13/0.67
% 0.13/0.67 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.13/0.67 (2023-06-19)
% 0.13/0.67
% 0.13/0.67 (c) Philipp Rümmer, 2009-2023
% 0.13/0.67 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.13/0.67 Amanda Stjerna.
% 0.13/0.67 Free software under BSD-3-Clause.
% 0.13/0.67
% 0.13/0.67 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.13/0.67
% 0.13/0.67 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.13/0.68 Running up to 7 provers in parallel.
% 0.13/0.76 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.13/0.76 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.13/0.76 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.13/0.76 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.13/0.76 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.13/0.76 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 0.13/0.76 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 1.47/1.06 Prover 1: Preprocessing ...
% 1.47/1.06 Prover 4: Preprocessing ...
% 1.68/1.15 Prover 6: Preprocessing ...
% 1.68/1.15 Prover 2: Preprocessing ...
% 1.68/1.15 Prover 5: Preprocessing ...
% 1.68/1.15 Prover 3: Preprocessing ...
% 1.68/1.16 Prover 0: Preprocessing ...
% 2.08/1.34 Prover 5: Constructing countermodel ...
% 2.08/1.36 Prover 2: Constructing countermodel ...
% 2.08/1.37 Prover 1: Constructing countermodel ...
% 2.08/1.40 Prover 3: Constructing countermodel ...
% 2.08/1.40 Prover 6: Proving ...
% 2.08/1.42 Prover 4: Constructing countermodel ...
% 2.83/1.49 Prover 0: Proving ...
% 2.83/1.53 Prover 3: proved (800ms)
% 2.83/1.53
% 2.83/1.53 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.83/1.53
% 2.83/1.55 Prover 5: stopped
% 3.13/1.56 Prover 2: stopped
% 3.21/1.59 Prover 0: stopped
% 3.21/1.59 Prover 6: stopped
% 3.21/1.60 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 3.21/1.60 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 3.21/1.60 Prover 7: Preprocessing ...
% 3.21/1.60 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 3.21/1.60 Prover 8: Preprocessing ...
% 3.21/1.60 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 3.21/1.61 Prover 1: Found proof (size 14)
% 3.21/1.61 Prover 1: proved (912ms)
% 3.21/1.61 Prover 11: Preprocessing ...
% 3.21/1.61 Prover 10: Preprocessing ...
% 3.21/1.61 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 3.37/1.62 Prover 7: Constructing countermodel ...
% 3.37/1.62 Prover 4: stopped
% 3.37/1.62 Prover 7: stopped
% 3.37/1.63 Prover 13: Preprocessing ...
% 3.43/1.65 Prover 10: Constructing countermodel ...
% 3.43/1.66 Prover 10: stopped
% 3.43/1.67 Prover 13: Constructing countermodel ...
% 3.43/1.67 Prover 11: stopped
% 3.43/1.68 Prover 13: stopped
% 3.43/1.69 Prover 8: Warning: ignoring some quantifiers
% 3.43/1.69 Prover 8: Constructing countermodel ...
% 3.43/1.71 Prover 8: stopped
% 3.43/1.71
% 3.43/1.71 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.43/1.71
% 3.43/1.71 % SZS output start Proof for theBenchmark
% 3.66/1.72 Assumptions after simplification:
% 3.66/1.72 ---------------------------------
% 3.66/1.72
% 3.66/1.72 (owl_eqdis_disjointwith)
% 3.80/1.78 $i(uri_owl_disjointWith) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0
% 3.80/1.78 | ~ (iext(uri_owl_disjointWith, v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ?
% 3.80/1.78 [v3: any] : ? [v4: any] : (ic(v1) = v4 & ic(v0) = v3 & ( ~ (v4 = 0) | ~
% 3.80/1.78 (v3 = 0))) | ? [v3: $i] : (icext(v1, v3) = 0 & icext(v0, v3) = 0 &
% 3.80/1.78 $i(v3))) & ! [v0: $i] : ! [v1: $i] : ( ~ (iext(uri_owl_disjointWith, v0,
% 3.80/1.78 v1) = 0) | ~ $i(v1) | ~ $i(v0) | (ic(v1) = 0 & ic(v0) = 0 & ! [v2:
% 3.80/1.78 $i] : ( ~ (icext(v0, v2) = 0) | ~ $i(v2) | ? [v3: int] : ( ~ (v3 = 0)
% 3.80/1.78 & icext(v1, v2) = v3))))
% 3.80/1.78
% 3.80/1.78 (rdfs_cext_def)
% 3.80/1.78 $i(uri_rdf_type) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 3.80/1.78 (iext(uri_rdf_type, v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : (
% 3.80/1.78 ~ (v3 = 0) & icext(v1, v0) = v3)) & ! [v0: $i] : ! [v1: $i] : ( ~
% 3.80/1.78 (iext(uri_rdf_type, v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | icext(v1, v0) =
% 3.80/1.78 0)
% 3.80/1.78
% 3.80/1.78 (testcase_premise_fullish_011_Entity_Types_as_Classes)
% 3.80/1.78 iext(uri_owl_disjointWith, uri_owl_Class, uri_owl_ObjectProperty) = 0 &
% 3.80/1.78 iext(uri_rdf_type, uri_ex_x, uri_owl_ObjectProperty) = 0 & iext(uri_rdf_type,
% 3.80/1.78 uri_ex_x, uri_owl_Class) = 0 & $i(uri_ex_x) & $i(uri_owl_ObjectProperty) &
% 3.80/1.79 $i(uri_owl_Class) & $i(uri_owl_disjointWith) & $i(uri_rdf_type)
% 3.80/1.79
% 3.80/1.79 (function-axioms)
% 3.80/1.80 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 3.80/1.80 [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (iext(v4, v3, v2) = v1) | ~ (iext(v4,
% 3.80/1.80 v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool]
% 3.80/1.80 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (icext(v3, v2) = v1) | ~
% 3.80/1.80 (icext(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 3.80/1.80 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (ic(v2) = v1) | ~ (ic(v2)
% 3.80/1.80 = v0))
% 3.80/1.80
% 3.80/1.80 Those formulas are unsatisfiable:
% 3.80/1.80 ---------------------------------
% 3.80/1.80
% 3.80/1.80 Begin of proof
% 3.80/1.80 |
% 3.80/1.80 | ALPHA: (rdfs_cext_def) implies:
% 3.80/1.81 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ (iext(uri_rdf_type, v0, v1) = 0) | ~
% 3.80/1.82 | $i(v1) | ~ $i(v0) | icext(v1, v0) = 0)
% 3.80/1.82 |
% 3.80/1.82 | ALPHA: (owl_eqdis_disjointwith) implies:
% 3.80/1.83 | (2) ! [v0: $i] : ! [v1: $i] : ( ~ (iext(uri_owl_disjointWith, v0, v1) =
% 3.80/1.83 | 0) | ~ $i(v1) | ~ $i(v0) | (ic(v1) = 0 & ic(v0) = 0 & ! [v2: $i]
% 3.80/1.83 | : ( ~ (icext(v0, v2) = 0) | ~ $i(v2) | ? [v3: int] : ( ~ (v3 = 0)
% 3.80/1.83 | & icext(v1, v2) = v3))))
% 3.80/1.83 |
% 3.80/1.83 | ALPHA: (testcase_premise_fullish_011_Entity_Types_as_Classes) implies:
% 3.80/1.83 | (3) $i(uri_owl_Class)
% 3.80/1.84 | (4) $i(uri_owl_ObjectProperty)
% 3.80/1.84 | (5) $i(uri_ex_x)
% 3.80/1.84 | (6) iext(uri_rdf_type, uri_ex_x, uri_owl_Class) = 0
% 3.80/1.84 | (7) iext(uri_rdf_type, uri_ex_x, uri_owl_ObjectProperty) = 0
% 3.80/1.84 | (8) iext(uri_owl_disjointWith, uri_owl_Class, uri_owl_ObjectProperty) = 0
% 3.80/1.84 |
% 3.80/1.84 | ALPHA: (function-axioms) implies:
% 3.80/1.84 | (9) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 3.80/1.84 | ! [v3: $i] : (v1 = v0 | ~ (icext(v3, v2) = v1) | ~ (icext(v3, v2) =
% 3.80/1.84 | v0))
% 3.80/1.84 |
% 3.80/1.85 | GROUND_INST: instantiating (1) with uri_ex_x, uri_owl_Class, simplifying with
% 3.80/1.85 | (3), (5), (6) gives:
% 3.97/1.86 | (10) icext(uri_owl_Class, uri_ex_x) = 0
% 3.97/1.86 |
% 3.97/1.86 | GROUND_INST: instantiating (1) with uri_ex_x, uri_owl_ObjectProperty,
% 3.97/1.86 | simplifying with (4), (5), (7) gives:
% 3.97/1.86 | (11) icext(uri_owl_ObjectProperty, uri_ex_x) = 0
% 3.97/1.86 |
% 3.97/1.86 | GROUND_INST: instantiating (2) with uri_owl_Class, uri_owl_ObjectProperty,
% 3.97/1.86 | simplifying with (3), (4), (8) gives:
% 3.97/1.86 | (12) ic(uri_owl_ObjectProperty) = 0 & ic(uri_owl_Class) = 0 & ! [v0: $i] :
% 3.97/1.86 | ( ~ (icext(uri_owl_Class, v0) = 0) | ~ $i(v0) | ? [v1: int] : ( ~
% 3.97/1.86 | (v1 = 0) & icext(uri_owl_ObjectProperty, v0) = v1))
% 3.97/1.86 |
% 3.97/1.86 | ALPHA: (12) implies:
% 3.97/1.86 | (13) ! [v0: $i] : ( ~ (icext(uri_owl_Class, v0) = 0) | ~ $i(v0) | ? [v1:
% 3.97/1.86 | int] : ( ~ (v1 = 0) & icext(uri_owl_ObjectProperty, v0) = v1))
% 3.97/1.86 |
% 3.97/1.86 | GROUND_INST: instantiating (13) with uri_ex_x, simplifying with (5), (10)
% 3.97/1.86 | gives:
% 3.97/1.88 | (14) ? [v0: int] : ( ~ (v0 = 0) & icext(uri_owl_ObjectProperty, uri_ex_x)
% 3.97/1.88 | = v0)
% 3.97/1.88 |
% 3.97/1.88 | DELTA: instantiating (14) with fresh symbol all_18_0 gives:
% 3.97/1.88 | (15) ~ (all_18_0 = 0) & icext(uri_owl_ObjectProperty, uri_ex_x) = all_18_0
% 3.97/1.88 |
% 3.97/1.88 | ALPHA: (15) implies:
% 4.00/1.89 | (16) ~ (all_18_0 = 0)
% 4.00/1.89 | (17) icext(uri_owl_ObjectProperty, uri_ex_x) = all_18_0
% 4.00/1.89 |
% 4.00/1.89 | GROUND_INST: instantiating (9) with 0, all_18_0, uri_ex_x,
% 4.00/1.89 | uri_owl_ObjectProperty, simplifying with (11), (17) gives:
% 4.00/1.89 | (18) all_18_0 = 0
% 4.00/1.89 |
% 4.00/1.89 | REDUCE: (16), (18) imply:
% 4.00/1.89 | (19) $false
% 4.00/1.89 |
% 4.00/1.89 | CLOSE: (19) is inconsistent.
% 4.00/1.89 |
% 4.00/1.89 End of proof
% 4.00/1.90 % SZS output end Proof for theBenchmark
% 4.00/1.90
% 4.00/1.90 1228ms
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