TSTP Solution File: SWB004+2 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SWB004+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n012.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 : Fri May 19 12:07:49 EDT 2023
% Result : Theorem 3.04s 1.76s
% Output : Refutation 3.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 26
% Syntax : Number of formulae : 42 ( 11 unt; 12 typ; 0 def)
% Number of atoms : 94 ( 0 equ; 0 cnn)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 238 ( 2 ~; 0 |; 33 &; 172 @)
% ( 8 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 12 usr; 8 con; 0-3 aty)
% Number of variables : 30 ( 0 ^; 30 !; 0 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
thf(iext_type,type,
iext: $i > $i > $i > $o ).
thf(uri_rdf_type_type,type,
uri_rdf_type: $i ).
thf(uri_owl_Class_type,type,
uri_owl_Class: $i ).
thf(uri_owl_Thing_type,type,
uri_owl_Thing: $i ).
thf(uri_rdfs_subClassOf_type,type,
uri_rdfs_subClassOf: $i ).
thf(uri_owl_equivalentClass_type,type,
uri_owl_equivalentClass: $i ).
thf(uri_rdfs_Class_type,type,
uri_rdfs_Class: $i ).
thf(uri_rdfs_Datatype_type,type,
uri_rdfs_Datatype: $i ).
thf(ir_type,type,
ir: $i > $o ).
thf(icext_type,type,
icext: $i > $i > $o ).
thf(idc_type,type,
idc: $i > $o ).
thf(ic_type,type,
ic: $i > $o ).
thf(5,axiom,
! [A: $i] :
( ( idc @ A )
=> ( ic @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_idc_cond_set) ).
thf(25,plain,
! [A: $i] :
( ( idc @ A )
=> ( ic @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(15,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_equivalentClass @ A @ B )
<=> ( ( ic @ A )
& ( ic @ B )
& ! [C: $i] :
( ( icext @ A @ C )
<=> ( icext @ B @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).
thf(60,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_owl_equivalentClass @ A @ B )
=> ( ( ic @ A )
& ( ic @ B )
& ! [C: $i] :
( ( ( icext @ A @ C )
=> ( icext @ B @ C ) )
& ( ( icext @ B @ C )
=> ( icext @ A @ C ) ) ) ) )
& ( ( ( ic @ A )
& ( ic @ B )
& ! [C: $i] :
( ( ( icext @ A @ C )
=> ( icext @ B @ C ) )
& ( ( icext @ B @ C )
=> ( icext @ A @ C ) ) ) )
=> ( iext @ uri_owl_equivalentClass @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(6,axiom,
ic @ uri_owl_Class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_classowl_type) ).
thf(27,plain,
ic @ uri_owl_Class,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(10,axiom,
ic @ uri_rdfs_Datatype,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_datatype_type) ).
thf(39,plain,
ic @ uri_rdfs_Datatype,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(3,axiom,
! [A: $i] : ( ir @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',simple_ir) ).
thf(18,plain,
! [A: $i] : ( ir @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(1,conjecture,
( ( iext @ uri_rdf_type @ uri_owl_Class @ uri_owl_Thing )
& ( iext @ uri_rdf_type @ uri_owl_Class @ uri_owl_Class )
& ( iext @ uri_rdfs_subClassOf @ uri_owl_Class @ uri_owl_Thing )
& ( iext @ uri_owl_equivalentClass @ uri_owl_Class @ uri_rdfs_Class )
& ( iext @ uri_rdfs_subClassOf @ uri_rdfs_Datatype @ uri_owl_Class ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_004_Axiomatic_Triples) ).
thf(2,negated_conjecture,
~ ( ( iext @ uri_rdf_type @ uri_owl_Class @ uri_owl_Thing )
& ( iext @ uri_rdf_type @ uri_owl_Class @ uri_owl_Class )
& ( iext @ uri_rdfs_subClassOf @ uri_owl_Class @ uri_owl_Thing )
& ( iext @ uri_owl_equivalentClass @ uri_owl_Class @ uri_rdfs_Class )
& ( iext @ uri_rdfs_subClassOf @ uri_rdfs_Datatype @ uri_owl_Class ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(16,plain,
~ ( ( iext @ uri_rdf_type @ uri_owl_Class @ uri_owl_Thing )
& ( iext @ uri_rdf_type @ uri_owl_Class @ uri_owl_Class )
& ( iext @ uri_rdfs_subClassOf @ uri_owl_Class @ uri_owl_Thing )
& ( iext @ uri_owl_equivalentClass @ uri_owl_Class @ uri_rdfs_Class )
& ( iext @ uri_rdfs_subClassOf @ uri_rdfs_Datatype @ uri_owl_Class ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(11,axiom,
! [A: $i] :
( ( icext @ uri_rdfs_Datatype @ A )
<=> ( idc @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_datatype_ext) ).
thf(40,plain,
! [A: $i] :
( ( ( icext @ uri_rdfs_Datatype @ A )
=> ( idc @ A ) )
& ( ( idc @ A )
=> ( icext @ uri_rdfs_Datatype @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(14,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_rdfs_subClassOf @ A @ B )
<=> ( ( ic @ A )
& ( ic @ B )
& ! [C: $i] :
( ( icext @ A @ C )
=> ( icext @ B @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).
thf(51,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_rdfs_subClassOf @ A @ B )
=> ( ( ic @ A )
& ( ic @ B )
& ! [C: $i] :
( ( icext @ A @ C )
=> ( icext @ B @ C ) ) ) )
& ( ( ( ic @ A )
& ( ic @ B )
& ! [C: $i] :
( ( icext @ A @ C )
=> ( icext @ B @ C ) ) )
=> ( iext @ uri_rdfs_subClassOf @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_rdf_type @ A @ B )
<=> ( icext @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).
thf(20,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_rdf_type @ A @ B )
=> ( icext @ B @ A ) )
& ( ( icext @ B @ A )
=> ( iext @ uri_rdf_type @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(13,axiom,
! [A: $i] :
( ( icext @ uri_owl_Thing @ A )
<=> ( ir @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_thing_ext) ).
thf(46,plain,
! [A: $i] :
( ( ( icext @ uri_owl_Thing @ A )
=> ( ir @ A ) )
& ( ( ir @ A )
=> ( icext @ uri_owl_Thing @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(7,axiom,
! [A: $i] :
( ( icext @ uri_owl_Class @ A )
<=> ( ic @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_classowl_ext) ).
thf(28,plain,
! [A: $i] :
( ( ( icext @ uri_owl_Class @ A )
=> ( ic @ A ) )
& ( ( ic @ A )
=> ( icext @ uri_owl_Class @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(8,axiom,
ic @ uri_rdfs_Class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_classrdfs_type) ).
thf(33,plain,
ic @ uri_rdfs_Class,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(9,axiom,
! [A: $i] :
( ( icext @ uri_rdfs_Class @ A )
<=> ( ic @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_classrdfs_ext) ).
thf(34,plain,
! [A: $i] :
( ( ( icext @ uri_rdfs_Class @ A )
=> ( ic @ A ) )
& ( ( ic @ A )
=> ( icext @ uri_rdfs_Class @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(12,axiom,
ic @ uri_owl_Thing,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_thing_type) ).
thf(45,plain,
ic @ uri_owl_Thing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(75,plain,
$false,
inference(e,[status(thm)],[25,60,27,39,18,16,40,51,20,46,28,33,34,45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWB004+2 : TPTP v8.1.2. Released v5.2.0.
% 0.11/0.15 % Command : run_Leo-III %s %d
% 0.14/0.36 % Computer : n012.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu May 18 20:54:02 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.96/0.88 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.32/1.01 % [INFO] Parsing done (129ms).
% 1.32/1.02 % [INFO] Running in sequential loop mode.
% 1.74/1.23 % [INFO] eprover registered as external prover.
% 1.74/1.24 % [INFO] cvc4 registered as external prover.
% 1.74/1.24 % [INFO] Scanning for conjecture ...
% 1.74/1.30 % [INFO] Found a conjecture and 13 axioms. Running axiom selection ...
% 1.97/1.32 % [INFO] Axiom selection finished. Selected 13 axioms (removed 0 axioms).
% 1.97/1.34 % [INFO] Problem is first-order (TPTP FOF).
% 1.97/1.34 % [INFO] Type checking passed.
% 1.97/1.35 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 3.04/1.76 % External prover 'e' found a proof!
% 3.04/1.76 % [INFO] Killing All external provers ...
% 3.04/1.76 % Time passed: 1242ms (effective reasoning time: 740ms)
% 3.04/1.76 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 3.04/1.76 % Axioms used in derivation (13): owl_class_classowl_ext, owl_class_classrdfs_type, owl_class_thing_type, owl_class_datatype_type, simple_ir, owl_parts_idc_cond_set, owl_class_classrdfs_ext, owl_class_classowl_type, owl_class_thing_ext, owl_rdfsext_subclassof, rdfs_cext_def, owl_eqdis_equivalentclass, owl_class_datatype_ext
% 3.04/1.76 % No. of inferences in proof: 30
% 3.04/1.76 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1242 ms resp. 740 ms w/o parsing
% 3.34/1.86 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.34/1.86 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------