TSTP Solution File: SWB005+2 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SWB005+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n024.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 12:07:50 EDT 2023
% Result : Theorem 2.68s 1.58s
% Output : Refutation 3.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 21
% Syntax : Number of formulae : 32 ( 5 unt; 12 typ; 0 def)
% Number of atoms : 63 ( 0 equ; 0 cnn)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 187 ( 2 ~; 0 |; 26 &; 142 @)
% ( 5 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 12 usr; 9 con; 0-3 aty)
% Number of variables : 20 ( 0 ^; 20 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(iext_type,type,
iext: $i > $i > $i > $o ).
thf(uri_rdf_type_type,type,
uri_rdf_type: $i ).
thf(uri_ex_s_type,type,
uri_ex_s: $i ).
thf(uri_rdfs_Resource_type,type,
uri_rdfs_Resource: $i ).
thf(uri_owl_Thing_type,type,
uri_owl_Thing: $i ).
thf(uri_ex_p_type,type,
uri_ex_p: $i ).
thf(uri_rdf_Property_type,type,
uri_rdf_Property: $i ).
thf(uri_owl_ObjectProperty_type,type,
uri_owl_ObjectProperty: $i ).
thf(uri_ex_o_type,type,
uri_ex_o: $i ).
thf(ir_type,type,
ir: $i > $o ).
thf(ip_type,type,
ip: $i > $o ).
thf(icext_type,type,
icext: $i > $i > $o ).
thf(3,axiom,
! [A: $i] : ( ir @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',simple_ir) ).
thf(13,plain,
! [A: $i] : ( ir @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,axiom,
! [A: $i] :
( ( iext @ uri_rdf_type @ A @ uri_rdf_Property )
<=> ( ip @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_type_ip) ).
thf(18,plain,
! [A: $i] :
( ( ( iext @ uri_rdf_type @ A @ uri_rdf_Property )
=> ( ip @ A ) )
& ( ( ip @ A )
=> ( iext @ uri_rdf_type @ A @ uri_rdf_Property ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(6,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(23,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)],[6]) ).
thf(4,axiom,
! [A: $i,B: $i,C: $i] :
( ( iext @ B @ A @ C )
=> ( ip @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',simple_iext_property) ).
thf(15,plain,
! [A: $i,B: $i,C: $i] :
( ( iext @ B @ A @ C )
=> ( ip @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(8,axiom,
! [A: $i] :
( ( icext @ uri_owl_Thing @ A )
<=> ( ir @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_thing_ext) ).
thf(33,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)],[8]) ).
thf(7,axiom,
! [A: $i] :
( ( ir @ A )
<=> ( icext @ uri_rdfs_Resource @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_ir_def) ).
thf(28,plain,
! [A: $i] :
( ( ( ir @ A )
=> ( icext @ uri_rdfs_Resource @ A ) )
& ( ( icext @ uri_rdfs_Resource @ A )
=> ( ir @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(9,axiom,
! [A: $i] :
( ( icext @ uri_owl_ObjectProperty @ A )
<=> ( ip @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_objectproperty_ext) ).
thf(38,plain,
! [A: $i] :
( ( ( icext @ uri_owl_ObjectProperty @ A )
=> ( ip @ A ) )
& ( ( ip @ A )
=> ( icext @ uri_owl_ObjectProperty @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(1,conjecture,
( ( iext @ uri_rdf_type @ uri_ex_s @ uri_rdfs_Resource )
& ( iext @ uri_rdf_type @ uri_ex_s @ uri_owl_Thing )
& ( iext @ uri_rdf_type @ uri_ex_p @ uri_rdfs_Resource )
& ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_Thing )
& ( iext @ uri_rdf_type @ uri_ex_p @ uri_rdf_Property )
& ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
& ( iext @ uri_rdf_type @ uri_ex_o @ uri_rdfs_Resource )
& ( iext @ uri_rdf_type @ uri_ex_o @ uri_owl_Thing ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_005_Everything_is_a_Resource) ).
thf(2,negated_conjecture,
~ ( ( iext @ uri_rdf_type @ uri_ex_s @ uri_rdfs_Resource )
& ( iext @ uri_rdf_type @ uri_ex_s @ uri_owl_Thing )
& ( iext @ uri_rdf_type @ uri_ex_p @ uri_rdfs_Resource )
& ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_Thing )
& ( iext @ uri_rdf_type @ uri_ex_p @ uri_rdf_Property )
& ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
& ( iext @ uri_rdf_type @ uri_ex_o @ uri_rdfs_Resource )
& ( iext @ uri_rdf_type @ uri_ex_o @ uri_owl_Thing ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(11,plain,
~ ( ( iext @ uri_rdf_type @ uri_ex_s @ uri_rdfs_Resource )
& ( iext @ uri_rdf_type @ uri_ex_s @ uri_owl_Thing )
& ( iext @ uri_rdf_type @ uri_ex_p @ uri_rdfs_Resource )
& ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_Thing )
& ( iext @ uri_rdf_type @ uri_ex_p @ uri_rdf_Property )
& ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty )
& ( iext @ uri_rdf_type @ uri_ex_o @ uri_rdfs_Resource )
& ( iext @ uri_rdf_type @ uri_ex_o @ uri_owl_Thing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(10,axiom,
iext @ uri_ex_p @ uri_ex_s @ uri_ex_o,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_005_Everything_is_a_Resource) ).
thf(43,plain,
iext @ uri_ex_p @ uri_ex_s @ uri_ex_o,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(46,plain,
$false,
inference(e,[status(thm)],[13,18,23,15,33,28,38,11,43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWB005+2 : TPTP v8.1.2. Released v5.2.0.
% 0.11/0.15 % Command : run_Leo-III %s %d
% 0.15/0.35 % Computer : n024.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu May 18 20:52:52 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.84/0.83 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.26/0.94 % [INFO] Parsing done (116ms).
% 1.26/0.95 % [INFO] Running in sequential loop mode.
% 1.50/1.14 % [INFO] eprover registered as external prover.
% 1.50/1.15 % [INFO] cvc4 registered as external prover.
% 1.50/1.15 % [INFO] Scanning for conjecture ...
% 1.74/1.20 % [INFO] Found a conjecture and 8 axioms. Running axiom selection ...
% 1.82/1.22 % [INFO] Axiom selection finished. Selected 8 axioms (removed 0 axioms).
% 1.90/1.24 % [INFO] Problem is first-order (TPTP FOF).
% 1.90/1.24 % [INFO] Type checking passed.
% 1.90/1.24 % [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 ...
% 2.68/1.58 % External prover 'e' found a proof!
% 2.68/1.58 % [INFO] Killing All external provers ...
% 2.68/1.58 % Time passed: 1071ms (effective reasoning time: 623ms)
% 2.68/1.58 % 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)>
% 2.68/1.58 % Axioms used in derivation (8): testcase_premise_fullish_005_Everything_is_a_Resource, simple_ir, owl_class_objectproperty_ext, rdf_type_ip, rdfs_ir_def, owl_class_thing_ext, rdfs_cext_def, simple_iext_property
% 2.68/1.58 % No. of inferences in proof: 20
% 2.68/1.58 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1071 ms resp. 623 ms w/o parsing
% 3.02/1.65 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.02/1.65 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------