TSTP Solution File: SWB017+2 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SWB017+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 20:11:44 EDT 2023
% Result : Theorem 3.37s 1.11s
% Output : Proof 4.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWB017+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.10 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Sun Aug 27 07:23:14 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.14/0.50 ________ _____
% 0.14/0.50 ___ __ \_________(_)________________________________
% 0.14/0.50 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.14/0.50 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.14/0.50 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.14/0.50
% 0.14/0.50 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.14/0.50 (2023-06-19)
% 0.14/0.50
% 0.14/0.50 (c) Philipp Rümmer, 2009-2023
% 0.14/0.50 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.14/0.50 Amanda Stjerna.
% 0.14/0.50 Free software under BSD-3-Clause.
% 0.14/0.50
% 0.14/0.50 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.14/0.50
% 0.14/0.50 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.14/0.51 Running up to 7 provers in parallel.
% 0.14/0.52 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.14/0.52 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.14/0.52 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.14/0.52 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.14/0.52 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.14/0.52 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.14/0.52 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 0.14/0.82 Prover 4: Preprocessing ...
% 0.14/0.83 Prover 1: Preprocessing ...
% 1.03/0.86 Prover 6: Preprocessing ...
% 1.03/0.86 Prover 3: Preprocessing ...
% 1.03/0.86 Prover 0: Preprocessing ...
% 1.03/0.86 Prover 2: Preprocessing ...
% 1.03/0.86 Prover 5: Preprocessing ...
% 2.31/0.99 Prover 5: Proving ...
% 2.31/1.00 Prover 2: Proving ...
% 2.31/1.00 Prover 1: Constructing countermodel ...
% 2.31/1.00 Prover 4: Constructing countermodel ...
% 2.31/1.01 Prover 3: Constructing countermodel ...
% 2.31/1.01 Prover 6: Proving ...
% 2.31/1.02 Prover 0: Proving ...
% 3.37/1.11 Prover 3: proved (589ms)
% 3.37/1.11
% 3.37/1.11 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.37/1.11
% 3.37/1.11 Prover 6: stopped
% 3.37/1.12 Prover 5: stopped
% 3.37/1.13 Prover 2: stopped
% 3.37/1.13 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 3.37/1.13 Prover 0: proved (597ms)
% 3.37/1.13
% 3.37/1.13 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.37/1.13
% 3.37/1.13 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 3.37/1.13 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 3.37/1.13 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 3.37/1.13 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 3.37/1.14 Prover 8: Preprocessing ...
% 3.37/1.14 Prover 13: Preprocessing ...
% 3.37/1.14 Prover 7: Preprocessing ...
% 3.37/1.15 Prover 11: Preprocessing ...
% 3.81/1.15 Prover 10: Preprocessing ...
% 3.81/1.16 Prover 1: Found proof (size 20)
% 3.81/1.16 Prover 1: proved (641ms)
% 3.81/1.16 Prover 4: Found proof (size 18)
% 3.81/1.16 Prover 4: proved (639ms)
% 3.88/1.17 Prover 11: stopped
% 3.88/1.17 Prover 13: Warning: ignoring some quantifiers
% 3.88/1.17 Prover 7: Warning: ignoring some quantifiers
% 3.88/1.17 Prover 13: Constructing countermodel ...
% 3.88/1.17 Prover 7: Constructing countermodel ...
% 3.88/1.18 Prover 13: stopped
% 3.88/1.19 Prover 7: stopped
% 3.88/1.19 Prover 10: Warning: ignoring some quantifiers
% 3.88/1.20 Prover 10: Constructing countermodel ...
% 3.88/1.20 Prover 10: stopped
% 3.88/1.20 Prover 8: Warning: ignoring some quantifiers
% 4.11/1.21 Prover 8: Constructing countermodel ...
% 4.11/1.21 Prover 8: stopped
% 4.11/1.21
% 4.11/1.21 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.11/1.21
% 4.11/1.22 % SZS output start Proof for theBenchmark
% 4.11/1.22 Assumptions after simplification:
% 4.11/1.22 ---------------------------------
% 4.11/1.22
% 4.11/1.22 (owl_eqdis_differentfrom)
% 4.28/1.26 $i(uri_owl_differentFrom) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0
% 4.28/1.26 | v1 = v0 | ~ (iext(uri_owl_differentFrom, v0, v1) = v2) | ~ $i(v1) | ~
% 4.28/1.26 $i(v0)) & ! [v0: $i] : ( ~ (iext(uri_owl_differentFrom, v0, v0) = 0) | ~
% 4.28/1.26 $i(v0))
% 4.28/1.26
% 4.28/1.26 (owl_eqdis_propertydisjointwith)
% 4.28/1.26 $i(uri_owl_propertyDisjointWith) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] :
% 4.28/1.26 (v2 = 0 | ~ (iext(uri_owl_propertyDisjointWith, v0, v1) = v2) | ~ $i(v1) |
% 4.28/1.26 ~ $i(v0) | ? [v3: any] : ? [v4: any] : (ip(v1) = v4 & ip(v0) = v3 & ( ~
% 4.28/1.26 (v4 = 0) | ~ (v3 = 0))) | ? [v3: $i] : ? [v4: $i] : (iext(v1, v3, v4)
% 4.28/1.26 = 0 & iext(v0, v3, v4) = 0 & $i(v4) & $i(v3))) & ! [v0: $i] : ! [v1: $i]
% 4.28/1.26 : ( ~ (iext(uri_owl_propertyDisjointWith, v0, v1) = 0) | ~ $i(v1) | ~ $i(v0)
% 4.28/1.26 | (ip(v1) = 0 & ip(v0) = 0 & ! [v2: $i] : ! [v3: $i] : ( ~ (iext(v0, v2,
% 4.28/1.26 v3) = 0) | ~ $i(v3) | ~ $i(v2) | ? [v4: int] : ( ~ (v4 = 0) &
% 4.28/1.26 iext(v1, v2, v3) = v4))))
% 4.28/1.26
% 4.28/1.26 (testcase_conclusion_fullish_017_Built_in_Based_Definitions)
% 4.28/1.26 $i(uri_ex_u) & $i(uri_ex_w) & $i(uri_owl_differentFrom) & ? [v0: int] : ( ~
% 4.28/1.26 (v0 = 0) & iext(uri_owl_differentFrom, uri_ex_w, uri_ex_u) = v0)
% 4.28/1.26
% 4.28/1.26 (testcase_premise_fullish_017_Built_in_Based_Definitions)
% 4.28/1.27 iext(uri_rdf_type, uri_ex_w, uri_ex_c) = 0 & iext(uri_ex_notInstanceOf,
% 4.28/1.27 uri_ex_u, uri_ex_c) = 0 & iext(uri_owl_propertyDisjointWith,
% 4.28/1.27 uri_ex_notInstanceOf, uri_rdf_type) = 0 & $i(uri_ex_c) & $i(uri_rdf_type) &
% 4.28/1.27 $i(uri_ex_notInstanceOf) & $i(uri_ex_u) & $i(uri_ex_w) &
% 4.28/1.27 $i(uri_owl_propertyDisjointWith)
% 4.28/1.27
% 4.28/1.27 (function-axioms)
% 4.28/1.27 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 4.28/1.27 [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (iext(v4, v3, v2) = v1) | ~ (iext(v4,
% 4.28/1.27 v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool]
% 4.28/1.27 : ! [v2: $i] : (v1 = v0 | ~ (ip(v2) = v1) | ~ (ip(v2) = v0))
% 4.28/1.27
% 4.28/1.27 Those formulas are unsatisfiable:
% 4.28/1.27 ---------------------------------
% 4.28/1.27
% 4.28/1.27 Begin of proof
% 4.28/1.27 |
% 4.28/1.27 | ALPHA: (owl_eqdis_differentfrom) implies:
% 4.28/1.27 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | v1 = v0 | ~
% 4.28/1.27 | (iext(uri_owl_differentFrom, v0, v1) = v2) | ~ $i(v1) | ~ $i(v0))
% 4.28/1.27 |
% 4.28/1.27 | ALPHA: (owl_eqdis_propertydisjointwith) implies:
% 4.28/1.28 | (2) ! [v0: $i] : ! [v1: $i] : ( ~ (iext(uri_owl_propertyDisjointWith, v0,
% 4.28/1.28 | v1) = 0) | ~ $i(v1) | ~ $i(v0) | (ip(v1) = 0 & ip(v0) = 0 & !
% 4.28/1.28 | [v2: $i] : ! [v3: $i] : ( ~ (iext(v0, v2, v3) = 0) | ~ $i(v3) |
% 4.28/1.28 | ~ $i(v2) | ? [v4: int] : ( ~ (v4 = 0) & iext(v1, v2, v3) =
% 4.28/1.28 | v4))))
% 4.28/1.28 |
% 4.28/1.28 | ALPHA: (testcase_premise_fullish_017_Built_in_Based_Definitions) implies:
% 4.28/1.28 | (3) $i(uri_ex_notInstanceOf)
% 4.28/1.28 | (4) $i(uri_rdf_type)
% 4.28/1.28 | (5) $i(uri_ex_c)
% 4.28/1.28 | (6) iext(uri_owl_propertyDisjointWith, uri_ex_notInstanceOf, uri_rdf_type)
% 4.28/1.28 | = 0
% 4.28/1.28 | (7) iext(uri_ex_notInstanceOf, uri_ex_u, uri_ex_c) = 0
% 4.28/1.28 | (8) iext(uri_rdf_type, uri_ex_w, uri_ex_c) = 0
% 4.28/1.28 |
% 4.28/1.28 | ALPHA: (testcase_conclusion_fullish_017_Built_in_Based_Definitions) implies:
% 4.28/1.28 | (9) $i(uri_ex_w)
% 4.28/1.28 | (10) $i(uri_ex_u)
% 4.28/1.28 | (11) ? [v0: int] : ( ~ (v0 = 0) & iext(uri_owl_differentFrom, uri_ex_w,
% 4.28/1.28 | uri_ex_u) = v0)
% 4.28/1.28 |
% 4.28/1.28 | ALPHA: (function-axioms) implies:
% 4.28/1.28 | (12) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 4.28/1.28 | : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (iext(v4, v3, v2) = v1) |
% 4.28/1.28 | ~ (iext(v4, v3, v2) = v0))
% 4.28/1.28 |
% 4.28/1.28 | DELTA: instantiating (11) with fresh symbol all_6_0 gives:
% 4.28/1.28 | (13) ~ (all_6_0 = 0) & iext(uri_owl_differentFrom, uri_ex_w, uri_ex_u) =
% 4.28/1.28 | all_6_0
% 4.28/1.28 |
% 4.28/1.28 | ALPHA: (13) implies:
% 4.28/1.28 | (14) ~ (all_6_0 = 0)
% 4.28/1.29 | (15) iext(uri_owl_differentFrom, uri_ex_w, uri_ex_u) = all_6_0
% 4.28/1.29 |
% 4.28/1.29 | GROUND_INST: instantiating (1) with uri_ex_w, uri_ex_u, all_6_0, simplifying
% 4.28/1.29 | with (9), (10), (15) gives:
% 4.28/1.29 | (16) all_6_0 = 0 | uri_ex_u = uri_ex_w
% 4.28/1.29 |
% 4.28/1.29 | GROUND_INST: instantiating (2) with uri_ex_notInstanceOf, uri_rdf_type,
% 4.28/1.29 | simplifying with (3), (4), (6) gives:
% 4.28/1.29 | (17) ip(uri_rdf_type) = 0 & ip(uri_ex_notInstanceOf) = 0 & ! [v0: $i] : !
% 4.28/1.29 | [v1: $i] : ( ~ (iext(uri_ex_notInstanceOf, v0, v1) = 0) | ~ $i(v1) |
% 4.28/1.29 | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & iext(uri_rdf_type, v0, v1)
% 4.28/1.29 | = v2))
% 4.28/1.29 |
% 4.28/1.29 | ALPHA: (17) implies:
% 4.28/1.29 | (18) ! [v0: $i] : ! [v1: $i] : ( ~ (iext(uri_ex_notInstanceOf, v0, v1) =
% 4.28/1.29 | 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) &
% 4.28/1.29 | iext(uri_rdf_type, v0, v1) = v2))
% 4.28/1.29 |
% 4.28/1.29 | GROUND_INST: instantiating (18) with uri_ex_u, uri_ex_c, simplifying with (5),
% 4.28/1.29 | (7), (10) gives:
% 4.28/1.29 | (19) ? [v0: int] : ( ~ (v0 = 0) & iext(uri_rdf_type, uri_ex_u, uri_ex_c) =
% 4.28/1.29 | v0)
% 4.28/1.29 |
% 4.28/1.29 | DELTA: instantiating (19) with fresh symbol all_15_0 gives:
% 4.28/1.29 | (20) ~ (all_15_0 = 0) & iext(uri_rdf_type, uri_ex_u, uri_ex_c) = all_15_0
% 4.28/1.29 |
% 4.28/1.29 | ALPHA: (20) implies:
% 4.28/1.29 | (21) ~ (all_15_0 = 0)
% 4.28/1.29 | (22) iext(uri_rdf_type, uri_ex_u, uri_ex_c) = all_15_0
% 4.28/1.29 |
% 4.28/1.29 | BETA: splitting (16) gives:
% 4.28/1.29 |
% 4.28/1.29 | Case 1:
% 4.28/1.29 | |
% 4.28/1.29 | | (23) uri_ex_u = uri_ex_w
% 4.28/1.29 | |
% 4.28/1.29 | | REDUCE: (22), (23) imply:
% 4.28/1.30 | | (24) iext(uri_rdf_type, uri_ex_w, uri_ex_c) = all_15_0
% 4.28/1.30 | |
% 4.28/1.30 | | GROUND_INST: instantiating (12) with 0, all_15_0, uri_ex_c, uri_ex_w,
% 4.28/1.30 | | uri_rdf_type, simplifying with (8), (24) gives:
% 4.28/1.30 | | (25) all_15_0 = 0
% 4.28/1.30 | |
% 4.28/1.30 | | REDUCE: (21), (25) imply:
% 4.28/1.30 | | (26) $false
% 4.28/1.30 | |
% 4.28/1.30 | | CLOSE: (26) is inconsistent.
% 4.28/1.30 | |
% 4.28/1.30 | Case 2:
% 4.28/1.30 | |
% 4.28/1.30 | | (27) all_6_0 = 0
% 4.28/1.30 | |
% 4.28/1.30 | | REDUCE: (14), (27) imply:
% 4.28/1.30 | | (28) $false
% 4.28/1.30 | |
% 4.28/1.30 | | CLOSE: (28) is inconsistent.
% 4.28/1.30 | |
% 4.28/1.30 | End of split
% 4.28/1.30 |
% 4.28/1.30 End of proof
% 4.28/1.30 % SZS output end Proof for theBenchmark
% 4.28/1.30
% 4.28/1.30 795ms
%------------------------------------------------------------------------------