TSTP Solution File: SWB023+2 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SWB023+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 20:11:49 EDT 2023
% Result : Theorem 5.09s 1.44s
% Output : Proof 7.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWB023+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.10 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Sun Aug 27 06:37:14 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.15/0.52 ________ _____
% 0.15/0.52 ___ __ \_________(_)________________________________
% 0.15/0.52 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.15/0.52 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.15/0.52 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.15/0.52
% 0.15/0.52 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.15/0.52 (2023-06-19)
% 0.15/0.52
% 0.15/0.52 (c) Philipp Rümmer, 2009-2023
% 0.15/0.52 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.15/0.52 Amanda Stjerna.
% 0.15/0.52 Free software under BSD-3-Clause.
% 0.15/0.52
% 0.15/0.52 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.15/0.52
% 0.15/0.52 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.15/0.53 Running up to 7 provers in parallel.
% 0.15/0.54 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.15/0.54 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.15/0.54 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.15/0.54 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.15/0.54 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.15/0.54 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.15/0.54 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 0.86/0.89 Prover 4: Preprocessing ...
% 0.86/0.89 Prover 1: Preprocessing ...
% 2.01/0.93 Prover 3: Preprocessing ...
% 2.01/0.93 Prover 6: Preprocessing ...
% 2.01/0.93 Prover 0: Preprocessing ...
% 2.01/0.93 Prover 5: Preprocessing ...
% 2.01/0.93 Prover 2: Preprocessing ...
% 3.13/1.13 Prover 5: Proving ...
% 3.13/1.14 Prover 2: Proving ...
% 3.64/1.18 Prover 6: Proving ...
% 3.64/1.19 Prover 1: Constructing countermodel ...
% 3.64/1.20 Prover 3: Constructing countermodel ...
% 3.98/1.23 Prover 0: Proving ...
% 3.98/1.23 Prover 4: Constructing countermodel ...
% 5.09/1.44 Prover 3: proved (897ms)
% 5.09/1.44
% 5.09/1.44 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.09/1.44
% 5.09/1.44 Prover 5: stopped
% 5.09/1.45 Prover 0: stopped
% 5.09/1.45 Prover 6: stopped
% 5.09/1.46 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 5.09/1.46 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 5.09/1.46 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 5.09/1.46 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 5.09/1.47 Prover 2: proved (929ms)
% 5.09/1.47
% 5.09/1.47 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.09/1.47
% 5.09/1.50 Prover 8: Preprocessing ...
% 5.09/1.51 Prover 7: Preprocessing ...
% 5.09/1.51 Prover 10: Preprocessing ...
% 5.09/1.51 Prover 11: Preprocessing ...
% 5.09/1.52 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 5.09/1.54 Prover 13: Preprocessing ...
% 5.09/1.54 Prover 7: Warning: ignoring some quantifiers
% 5.09/1.55 Prover 10: Warning: ignoring some quantifiers
% 5.09/1.55 Prover 7: Constructing countermodel ...
% 5.09/1.58 Prover 10: Constructing countermodel ...
% 5.09/1.59 Prover 13: Warning: ignoring some quantifiers
% 5.09/1.59 Prover 13: Constructing countermodel ...
% 5.09/1.60 Prover 1: Found proof (size 46)
% 5.09/1.60 Prover 1: proved (1067ms)
% 5.09/1.60 Prover 10: stopped
% 5.09/1.60 Prover 7: stopped
% 5.09/1.60 Prover 4: stopped
% 5.09/1.60 Prover 13: stopped
% 5.68/1.62 Prover 8: Warning: ignoring some quantifiers
% 5.68/1.62 Prover 8: Constructing countermodel ...
% 6.63/1.63 Prover 8: stopped
% 6.63/1.66 Prover 11: Constructing countermodel ...
% 6.63/1.67 Prover 11: stopped
% 6.63/1.67
% 6.63/1.67 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.63/1.67
% 6.85/1.69 % SZS output start Proof for theBenchmark
% 6.85/1.69 Assumptions after simplification:
% 6.85/1.69 ---------------------------------
% 6.85/1.69
% 6.85/1.69 (owl_enum_class_001)
% 6.85/1.73 $i(uri_owl_oneOf) & $i(uri_rdf_nil) & $i(uri_rdf_rest) & $i(uri_rdf_first) &
% 6.85/1.73 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~
% 6.85/1.73 (iext(uri_owl_oneOf, v0, v1) = v3) | ~ (iext(uri_rdf_first, v1, v2) = 0) |
% 6.85/1.73 ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : (ic(v0) =
% 6.85/1.73 v5 & iext(uri_rdf_rest, v1, uri_rdf_nil) = v4 & ( ~ (v4 = 0) | (( ~ (v5 =
% 6.85/1.73 0) | v3 = 0 | ? [v6: $i] : ? [v7: any] : (icext(v0, v6) = v7 &
% 6.85/1.73 $i(v6) & ( ~ (v7 = 0) | ~ (v6 = v2)) & (v7 = 0 | v6 = v2))) & ( ~
% 6.85/1.73 (v3 = 0) | (v5 = 0 & ! [v6: $i] : (v6 = v2 | ~ (icext(v0, v6) = 0)
% 6.85/1.73 | ~ $i(v6)) & ! [v6: int] : (v6 = 0 | ~ (icext(v0, v2) =
% 6.85/1.73 v6))))))))
% 6.85/1.73
% 6.85/1.73 (owl_eqdis_sameas)
% 6.85/1.74 $i(uri_owl_sameAs) & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~
% 6.85/1.74 (iext(uri_owl_sameAs, v0, v1) = 0) | ~ $i(v1) | ~ $i(v0)) & ! [v0: $i] :
% 6.85/1.74 ! [v1: int] : (v1 = 0 | ~ (iext(uri_owl_sameAs, v0, v0) = v1) | ~ $i(v0))
% 6.85/1.74
% 6.85/1.74 (rdfs_cext_def)
% 6.85/1.74 $i(uri_rdf_type) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 6.85/1.74 (iext(uri_rdf_type, v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : (
% 6.85/1.74 ~ (v3 = 0) & icext(v1, v0) = v3)) & ! [v0: $i] : ! [v1: $i] : ( ~
% 6.85/1.74 (iext(uri_rdf_type, v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | icext(v1, v0) =
% 6.85/1.74 0)
% 6.85/1.74
% 6.85/1.74 (testcase_conclusion_fullish_023_Unique_List_Components)
% 6.85/1.74 $i(uri_ex_v) & $i(uri_ex_u) & $i(uri_ex_w) & $i(uri_owl_sameAs) & ? [v0: any]
% 6.85/1.74 : ? [v1: any] : (iext(uri_owl_sameAs, uri_ex_w, uri_ex_v) = v1 &
% 6.85/1.74 iext(uri_owl_sameAs, uri_ex_w, uri_ex_u) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 6.85/1.74
% 6.85/1.74 (testcase_premise_fullish_023_Unique_List_Components)
% 7.17/1.74 $i(uri_owl_Class) & $i(uri_ex_v) & $i(uri_ex_u) & $i(uri_ex_w) &
% 7.17/1.74 $i(uri_owl_FunctionalProperty) & $i(uri_owl_oneOf) & $i(uri_rdf_nil) &
% 7.17/1.74 $i(uri_rdf_rest) & $i(uri_rdf_first) & $i(uri_rdf_type) & ? [v0: any] :
% 7.17/1.74 (iext(uri_rdf_type, uri_rdf_first, uri_owl_FunctionalProperty) = v0 & ? [v1:
% 7.17/1.74 $i] : ? [v2: $i] : (v0 = 0 & iext(uri_owl_oneOf, v1, v2) = 0 &
% 7.17/1.74 iext(uri_rdf_rest, v2, uri_rdf_nil) = 0 & iext(uri_rdf_first, v2,
% 7.17/1.74 uri_ex_v) = 0 & iext(uri_rdf_first, v2, uri_ex_u) = 0 &
% 7.17/1.74 iext(uri_rdf_type, v1, uri_owl_Class) = 0 & iext(uri_rdf_type, uri_ex_w,
% 7.17/1.74 v1) = 0 & $i(v2) & $i(v1)))
% 7.17/1.74
% 7.17/1.74 (function-axioms)
% 7.17/1.75 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 7.17/1.75 [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (iext(v4, v3, v2) = v1) | ~ (iext(v4,
% 7.17/1.75 v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool]
% 7.17/1.75 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (icext(v3, v2) = v1) | ~
% 7.17/1.75 (icext(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 7.17/1.75 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (ip(v2) = v1) | ~ (ip(v2)
% 7.17/1.75 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 7.17/1.75 $i] : (v1 = v0 | ~ (ic(v2) = v1) | ~ (ic(v2) = v0))
% 7.17/1.75
% 7.17/1.75 Further assumptions not needed in the proof:
% 7.17/1.75 --------------------------------------------
% 7.17/1.75 owl_char_functional
% 7.17/1.75
% 7.17/1.75 Those formulas are unsatisfiable:
% 7.17/1.75 ---------------------------------
% 7.17/1.75
% 7.17/1.75 Begin of proof
% 7.17/1.75 |
% 7.17/1.75 | ALPHA: (rdfs_cext_def) implies:
% 7.17/1.75 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ (iext(uri_rdf_type, v0, v1) = 0) | ~
% 7.17/1.75 | $i(v1) | ~ $i(v0) | icext(v1, v0) = 0)
% 7.17/1.75 |
% 7.17/1.75 | ALPHA: (owl_enum_class_001) implies:
% 7.17/1.76 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~
% 7.17/1.76 | (iext(uri_owl_oneOf, v0, v1) = v3) | ~ (iext(uri_rdf_first, v1, v2)
% 7.17/1.76 | = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5:
% 7.17/1.76 | any] : (ic(v0) = v5 & iext(uri_rdf_rest, v1, uri_rdf_nil) = v4 & (
% 7.17/1.76 | ~ (v4 = 0) | (( ~ (v5 = 0) | v3 = 0 | ? [v6: $i] : ? [v7: any]
% 7.17/1.76 | : (icext(v0, v6) = v7 & $i(v6) & ( ~ (v7 = 0) | ~ (v6 = v2))
% 7.17/1.76 | & (v7 = 0 | v6 = v2))) & ( ~ (v3 = 0) | (v5 = 0 & ! [v6:
% 7.17/1.76 | $i] : (v6 = v2 | ~ (icext(v0, v6) = 0) | ~ $i(v6)) & !
% 7.17/1.76 | [v6: int] : (v6 = 0 | ~ (icext(v0, v2) = v6))))))))
% 7.17/1.76 |
% 7.17/1.76 | ALPHA: (owl_eqdis_sameas) implies:
% 7.17/1.76 | (3) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (iext(uri_owl_sameAs, v0, v0)
% 7.17/1.76 | = v1) | ~ $i(v0))
% 7.17/1.76 |
% 7.17/1.76 | ALPHA: (testcase_premise_fullish_023_Unique_List_Components) implies:
% 7.17/1.76 | (4) ? [v0: any] : (iext(uri_rdf_type, uri_rdf_first,
% 7.17/1.76 | uri_owl_FunctionalProperty) = v0 & ? [v1: $i] : ? [v2: $i] : (v0
% 7.17/1.76 | = 0 & iext(uri_owl_oneOf, v1, v2) = 0 & iext(uri_rdf_rest, v2,
% 7.17/1.76 | uri_rdf_nil) = 0 & iext(uri_rdf_first, v2, uri_ex_v) = 0 &
% 7.17/1.76 | iext(uri_rdf_first, v2, uri_ex_u) = 0 & iext(uri_rdf_type, v1,
% 7.17/1.76 | uri_owl_Class) = 0 & iext(uri_rdf_type, uri_ex_w, v1) = 0 &
% 7.17/1.76 | $i(v2) & $i(v1)))
% 7.17/1.76 |
% 7.17/1.76 | ALPHA: (testcase_conclusion_fullish_023_Unique_List_Components) implies:
% 7.17/1.76 | (5) $i(uri_ex_w)
% 7.17/1.76 | (6) $i(uri_ex_u)
% 7.17/1.76 | (7) $i(uri_ex_v)
% 7.17/1.76 | (8) ? [v0: any] : ? [v1: any] : (iext(uri_owl_sameAs, uri_ex_w, uri_ex_v)
% 7.17/1.76 | = v1 & iext(uri_owl_sameAs, uri_ex_w, uri_ex_u) = v0 & ( ~ (v1 = 0) |
% 7.17/1.76 | ~ (v0 = 0)))
% 7.17/1.76 |
% 7.17/1.76 | ALPHA: (function-axioms) implies:
% 7.17/1.76 | (9) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 7.17/1.76 | ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (iext(v4, v3, v2) = v1) | ~
% 7.17/1.76 | (iext(v4, v3, v2) = v0))
% 7.17/1.76 |
% 7.17/1.76 | DELTA: instantiating (8) with fresh symbols all_8_0, all_8_1 gives:
% 7.17/1.76 | (10) iext(uri_owl_sameAs, uri_ex_w, uri_ex_v) = all_8_0 &
% 7.17/1.76 | iext(uri_owl_sameAs, uri_ex_w, uri_ex_u) = all_8_1 & ( ~ (all_8_0 = 0)
% 7.17/1.76 | | ~ (all_8_1 = 0))
% 7.17/1.76 |
% 7.17/1.76 | ALPHA: (10) implies:
% 7.17/1.77 | (11) iext(uri_owl_sameAs, uri_ex_w, uri_ex_u) = all_8_1
% 7.17/1.77 | (12) iext(uri_owl_sameAs, uri_ex_w, uri_ex_v) = all_8_0
% 7.17/1.77 | (13) ~ (all_8_0 = 0) | ~ (all_8_1 = 0)
% 7.17/1.77 |
% 7.17/1.77 | DELTA: instantiating (4) with fresh symbol all_10_0 gives:
% 7.17/1.77 | (14) iext(uri_rdf_type, uri_rdf_first, uri_owl_FunctionalProperty) =
% 7.17/1.77 | all_10_0 & ? [v0: $i] : ? [v1: $i] : (all_10_0 = 0 &
% 7.17/1.77 | iext(uri_owl_oneOf, v0, v1) = 0 & iext(uri_rdf_rest, v1,
% 7.17/1.77 | uri_rdf_nil) = 0 & iext(uri_rdf_first, v1, uri_ex_v) = 0 &
% 7.17/1.77 | iext(uri_rdf_first, v1, uri_ex_u) = 0 & iext(uri_rdf_type, v0,
% 7.17/1.77 | uri_owl_Class) = 0 & iext(uri_rdf_type, uri_ex_w, v0) = 0 & $i(v1)
% 7.17/1.77 | & $i(v0))
% 7.17/1.77 |
% 7.17/1.77 | ALPHA: (14) implies:
% 7.17/1.77 | (15) ? [v0: $i] : ? [v1: $i] : (all_10_0 = 0 & iext(uri_owl_oneOf, v0,
% 7.17/1.77 | v1) = 0 & iext(uri_rdf_rest, v1, uri_rdf_nil) = 0 &
% 7.17/1.77 | iext(uri_rdf_first, v1, uri_ex_v) = 0 & iext(uri_rdf_first, v1,
% 7.17/1.77 | uri_ex_u) = 0 & iext(uri_rdf_type, v0, uri_owl_Class) = 0 &
% 7.17/1.77 | iext(uri_rdf_type, uri_ex_w, v0) = 0 & $i(v1) & $i(v0))
% 7.17/1.77 |
% 7.17/1.77 | DELTA: instantiating (15) with fresh symbols all_12_0, all_12_1 gives:
% 7.17/1.77 | (16) all_10_0 = 0 & iext(uri_owl_oneOf, all_12_1, all_12_0) = 0 &
% 7.17/1.77 | iext(uri_rdf_rest, all_12_0, uri_rdf_nil) = 0 & iext(uri_rdf_first,
% 7.17/1.77 | all_12_0, uri_ex_v) = 0 & iext(uri_rdf_first, all_12_0, uri_ex_u) =
% 7.17/1.77 | 0 & iext(uri_rdf_type, all_12_1, uri_owl_Class) = 0 &
% 7.17/1.77 | iext(uri_rdf_type, uri_ex_w, all_12_1) = 0 & $i(all_12_0) &
% 7.17/1.77 | $i(all_12_1)
% 7.17/1.77 |
% 7.17/1.77 | ALPHA: (16) implies:
% 7.17/1.77 | (17) $i(all_12_1)
% 7.17/1.77 | (18) $i(all_12_0)
% 7.17/1.77 | (19) iext(uri_rdf_type, uri_ex_w, all_12_1) = 0
% 7.30/1.77 | (20) iext(uri_rdf_first, all_12_0, uri_ex_u) = 0
% 7.30/1.77 | (21) iext(uri_rdf_first, all_12_0, uri_ex_v) = 0
% 7.30/1.77 | (22) iext(uri_rdf_rest, all_12_0, uri_rdf_nil) = 0
% 7.30/1.77 | (23) iext(uri_owl_oneOf, all_12_1, all_12_0) = 0
% 7.30/1.77 |
% 7.30/1.77 | GROUND_INST: instantiating (1) with uri_ex_w, all_12_1, simplifying with (5),
% 7.30/1.77 | (17), (19) gives:
% 7.30/1.77 | (24) icext(all_12_1, uri_ex_w) = 0
% 7.30/1.77 |
% 7.30/1.77 | GROUND_INST: instantiating (2) with all_12_1, all_12_0, uri_ex_v, 0,
% 7.30/1.77 | simplifying with (7), (17), (18), (21), (23) gives:
% 7.30/1.77 | (25) ? [v0: any] : ? [v1: any] : (ic(all_12_1) = v1 & iext(uri_rdf_rest,
% 7.30/1.77 | all_12_0, uri_rdf_nil) = v0 & ( ~ (v0 = 0) | (v1 = 0 & ! [v2: $i]
% 7.30/1.77 | : (v2 = uri_ex_v | ~ (icext(all_12_1, v2) = 0) | ~ $i(v2)) &
% 7.30/1.77 | ! [v2: int] : (v2 = 0 | ~ (icext(all_12_1, uri_ex_v) = v2)))))
% 7.30/1.77 |
% 7.30/1.78 | GROUND_INST: instantiating (2) with all_12_1, all_12_0, uri_ex_u, 0,
% 7.30/1.78 | simplifying with (6), (17), (18), (20), (23) gives:
% 7.30/1.78 | (26) ? [v0: any] : ? [v1: any] : (ic(all_12_1) = v1 & iext(uri_rdf_rest,
% 7.30/1.78 | all_12_0, uri_rdf_nil) = v0 & ( ~ (v0 = 0) | (v1 = 0 & ! [v2: $i]
% 7.30/1.78 | : (v2 = uri_ex_u | ~ (icext(all_12_1, v2) = 0) | ~ $i(v2)) &
% 7.30/1.78 | ! [v2: int] : (v2 = 0 | ~ (icext(all_12_1, uri_ex_u) = v2)))))
% 7.30/1.78 |
% 7.30/1.78 | DELTA: instantiating (26) with fresh symbols all_20_0, all_20_1 gives:
% 7.30/1.78 | (27) ic(all_12_1) = all_20_0 & iext(uri_rdf_rest, all_12_0, uri_rdf_nil) =
% 7.30/1.78 | all_20_1 & ( ~ (all_20_1 = 0) | (all_20_0 = 0 & ! [v0: $i] : (v0 =
% 7.30/1.78 | uri_ex_u | ~ (icext(all_12_1, v0) = 0) | ~ $i(v0)) & ! [v0:
% 7.30/1.78 | int] : (v0 = 0 | ~ (icext(all_12_1, uri_ex_u) = v0))))
% 7.30/1.78 |
% 7.30/1.78 | ALPHA: (27) implies:
% 7.30/1.78 | (28) iext(uri_rdf_rest, all_12_0, uri_rdf_nil) = all_20_1
% 7.30/1.78 | (29) ~ (all_20_1 = 0) | (all_20_0 = 0 & ! [v0: $i] : (v0 = uri_ex_u | ~
% 7.30/1.78 | (icext(all_12_1, v0) = 0) | ~ $i(v0)) & ! [v0: int] : (v0 = 0 |
% 7.30/1.78 | ~ (icext(all_12_1, uri_ex_u) = v0)))
% 7.30/1.78 |
% 7.30/1.78 | DELTA: instantiating (25) with fresh symbols all_22_0, all_22_1 gives:
% 7.30/1.78 | (30) ic(all_12_1) = all_22_0 & iext(uri_rdf_rest, all_12_0, uri_rdf_nil) =
% 7.30/1.78 | all_22_1 & ( ~ (all_22_1 = 0) | (all_22_0 = 0 & ! [v0: $i] : (v0 =
% 7.30/1.78 | uri_ex_v | ~ (icext(all_12_1, v0) = 0) | ~ $i(v0)) & ! [v0:
% 7.30/1.78 | int] : (v0 = 0 | ~ (icext(all_12_1, uri_ex_v) = v0))))
% 7.30/1.78 |
% 7.30/1.78 | ALPHA: (30) implies:
% 7.30/1.78 | (31) iext(uri_rdf_rest, all_12_0, uri_rdf_nil) = all_22_1
% 7.30/1.78 | (32) ~ (all_22_1 = 0) | (all_22_0 = 0 & ! [v0: $i] : (v0 = uri_ex_v | ~
% 7.30/1.78 | (icext(all_12_1, v0) = 0) | ~ $i(v0)) & ! [v0: int] : (v0 = 0 |
% 7.30/1.78 | ~ (icext(all_12_1, uri_ex_v) = v0)))
% 7.30/1.78 |
% 7.30/1.78 | GROUND_INST: instantiating (9) with 0, all_22_1, uri_rdf_nil, all_12_0,
% 7.30/1.78 | uri_rdf_rest, simplifying with (22), (31) gives:
% 7.30/1.78 | (33) all_22_1 = 0
% 7.30/1.78 |
% 7.30/1.78 | GROUND_INST: instantiating (9) with all_20_1, all_22_1, uri_rdf_nil, all_12_0,
% 7.30/1.78 | uri_rdf_rest, simplifying with (28), (31) gives:
% 7.30/1.78 | (34) all_22_1 = all_20_1
% 7.30/1.78 |
% 7.30/1.78 | COMBINE_EQS: (33), (34) imply:
% 7.30/1.78 | (35) all_20_1 = 0
% 7.30/1.78 |
% 7.30/1.78 | BETA: splitting (29) gives:
% 7.30/1.78 |
% 7.30/1.78 | Case 1:
% 7.30/1.78 | |
% 7.30/1.78 | | (36) ~ (all_20_1 = 0)
% 7.30/1.78 | |
% 7.30/1.78 | | REDUCE: (35), (36) imply:
% 7.30/1.78 | | (37) $false
% 7.30/1.79 | |
% 7.30/1.79 | | CLOSE: (37) is inconsistent.
% 7.30/1.79 | |
% 7.30/1.79 | Case 2:
% 7.30/1.79 | |
% 7.30/1.79 | | (38) all_20_0 = 0 & ! [v0: $i] : (v0 = uri_ex_u | ~ (icext(all_12_1,
% 7.30/1.79 | | v0) = 0) | ~ $i(v0)) & ! [v0: int] : (v0 = 0 | ~
% 7.30/1.79 | | (icext(all_12_1, uri_ex_u) = v0))
% 7.30/1.79 | |
% 7.30/1.79 | | ALPHA: (38) implies:
% 7.30/1.79 | | (39) ! [v0: $i] : (v0 = uri_ex_u | ~ (icext(all_12_1, v0) = 0) | ~
% 7.30/1.79 | | $i(v0))
% 7.30/1.79 | |
% 7.30/1.79 | | BETA: splitting (32) gives:
% 7.30/1.79 | |
% 7.30/1.79 | | Case 1:
% 7.30/1.79 | | |
% 7.30/1.79 | | | (40) ~ (all_22_1 = 0)
% 7.30/1.79 | | |
% 7.30/1.79 | | | REDUCE: (33), (40) imply:
% 7.30/1.79 | | | (41) $false
% 7.30/1.79 | | |
% 7.30/1.79 | | | CLOSE: (41) is inconsistent.
% 7.30/1.79 | | |
% 7.30/1.79 | | Case 2:
% 7.30/1.79 | | |
% 7.30/1.79 | | | (42) all_22_0 = 0 & ! [v0: $i] : (v0 = uri_ex_v | ~ (icext(all_12_1,
% 7.30/1.79 | | | v0) = 0) | ~ $i(v0)) & ! [v0: int] : (v0 = 0 | ~
% 7.30/1.79 | | | (icext(all_12_1, uri_ex_v) = v0))
% 7.30/1.79 | | |
% 7.30/1.79 | | | ALPHA: (42) implies:
% 7.30/1.79 | | | (43) ! [v0: $i] : (v0 = uri_ex_v | ~ (icext(all_12_1, v0) = 0) | ~
% 7.30/1.79 | | | $i(v0))
% 7.30/1.79 | | |
% 7.30/1.79 | | | GROUND_INST: instantiating (43) with uri_ex_w, simplifying with (5), (24)
% 7.30/1.79 | | | gives:
% 7.30/1.79 | | | (44) uri_ex_v = uri_ex_w
% 7.30/1.79 | | |
% 7.30/1.79 | | | GROUND_INST: instantiating (39) with uri_ex_w, simplifying with (5), (24)
% 7.30/1.79 | | | gives:
% 7.30/1.79 | | | (45) uri_ex_u = uri_ex_w
% 7.30/1.79 | | |
% 7.30/1.79 | | | REDUCE: (12), (44) imply:
% 7.30/1.79 | | | (46) iext(uri_owl_sameAs, uri_ex_w, uri_ex_w) = all_8_0
% 7.30/1.79 | | |
% 7.30/1.79 | | | REDUCE: (11), (45) imply:
% 7.30/1.79 | | | (47) iext(uri_owl_sameAs, uri_ex_w, uri_ex_w) = all_8_1
% 7.30/1.79 | | |
% 7.30/1.79 | | | GROUND_INST: instantiating (9) with all_8_1, all_8_0, uri_ex_w, uri_ex_w,
% 7.30/1.79 | | | uri_owl_sameAs, simplifying with (46), (47) gives:
% 7.30/1.79 | | | (48) all_8_0 = all_8_1
% 7.30/1.79 | | |
% 7.30/1.79 | | | BETA: splitting (13) gives:
% 7.30/1.79 | | |
% 7.30/1.79 | | | Case 1:
% 7.30/1.79 | | | |
% 7.30/1.79 | | | | (49) ~ (all_8_0 = 0)
% 7.30/1.79 | | | |
% 7.30/1.79 | | | | REDUCE: (48), (49) imply:
% 7.30/1.79 | | | | (50) ~ (all_8_1 = 0)
% 7.30/1.79 | | | |
% 7.30/1.79 | | | | GROUND_INST: instantiating (3) with uri_ex_w, all_8_1, simplifying with
% 7.30/1.79 | | | | (5), (47) gives:
% 7.30/1.79 | | | | (51) all_8_1 = 0
% 7.30/1.79 | | | |
% 7.30/1.79 | | | | REDUCE: (50), (51) imply:
% 7.30/1.79 | | | | (52) $false
% 7.30/1.79 | | | |
% 7.30/1.79 | | | | CLOSE: (52) is inconsistent.
% 7.30/1.79 | | | |
% 7.30/1.79 | | | Case 2:
% 7.30/1.79 | | | |
% 7.30/1.79 | | | | (53) all_8_0 = 0
% 7.30/1.79 | | | | (54) ~ (all_8_1 = 0)
% 7.30/1.79 | | | |
% 7.30/1.79 | | | | COMBINE_EQS: (48), (53) imply:
% 7.30/1.79 | | | | (55) all_8_1 = 0
% 7.30/1.79 | | | |
% 7.30/1.79 | | | | REDUCE: (54), (55) imply:
% 7.30/1.79 | | | | (56) $false
% 7.30/1.79 | | | |
% 7.30/1.79 | | | | CLOSE: (56) is inconsistent.
% 7.30/1.79 | | | |
% 7.30/1.79 | | | End of split
% 7.30/1.79 | | |
% 7.30/1.79 | | End of split
% 7.30/1.79 | |
% 7.30/1.79 | End of split
% 7.30/1.79 |
% 7.30/1.79 End of proof
% 7.30/1.79 % SZS output end Proof for theBenchmark
% 7.30/1.79
% 7.30/1.79 1274ms
%------------------------------------------------------------------------------