TSTP Solution File: SWB008+2 by Leo-III---1.7.7
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SWB008+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n009.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 12:07:53 EDT 2023
% Result : Theorem 2.89s 1.77s
% Output : Refutation 2.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 17
% Syntax : Number of formulae : 24 ( 4 unt; 12 typ; 0 def)
% Number of atoms : 39 ( 6 equ; 0 cnn)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 117 ( 2 ~; 0 |; 15 &; 88 @)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 9 con; 0-3 aty)
% Number of variables : 19 ( 0 ^; 19 !; 0 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
thf(iext_type,type,
iext: $i > $i > $i > $o ).
thf(uri_owl_sameAs_type,type,
uri_owl_sameAs: $i ).
thf(uri_ex_bob_type,type,
uri_ex_bob: $i ).
thf(uri_ex_robert_type,type,
uri_ex_robert: $i ).
thf(uri_rdf_type_type,type,
uri_rdf_type: $i ).
thf(icext_type,type,
icext: $i > $i > $o ).
thf(uri_owl_InverseFunctionalProperty_type,type,
uri_owl_InverseFunctionalProperty: $i ).
thf(ip_type,type,
ip: $i > $o ).
thf(uri_foaf_mbox_sha1sum_type,type,
uri_foaf_mbox_sha1sum: $i ).
thf(uri_owl_DatatypeProperty_type,type,
uri_owl_DatatypeProperty: $i ).
thf(literal_plain_type,type,
literal_plain: $i > $i ).
thf(dat_str_xyz_type,type,
dat_str_xyz: $i ).
thf(5,axiom,
! [A: $i] :
( ( icext @ uri_owl_InverseFunctionalProperty @ A )
<=> ( ( ip @ A )
& ! [B: $i,C: $i,D: $i] :
( ( ( iext @ A @ B @ D )
& ( iext @ A @ C @ D ) )
=> ( B = C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_inversefunctional) ).
thf(20,plain,
! [A: $i] :
( ( ( icext @ uri_owl_InverseFunctionalProperty @ A )
=> ( ( ip @ A )
& ! [B: $i,C: $i,D: $i] :
( ( ( iext @ A @ B @ D )
& ( iext @ A @ C @ D ) )
=> ( B = C ) ) ) )
& ( ( ( ip @ A )
& ! [B: $i,C: $i,D: $i] :
( ( ( iext @ A @ B @ D )
& ( iext @ A @ C @ D ) )
=> ( B = C ) ) )
=> ( icext @ uri_owl_InverseFunctionalProperty @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_sameAs @ A @ B )
<=> ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
thf(13,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_owl_sameAs @ A @ B )
=> ( A = B ) )
& ( ( A = B )
=> ( iext @ uri_owl_sameAs @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(6,axiom,
( ( iext @ uri_rdf_type @ uri_foaf_mbox_sha1sum @ uri_owl_DatatypeProperty )
& ( iext @ uri_rdf_type @ uri_foaf_mbox_sha1sum @ uri_owl_InverseFunctionalProperty )
& ( iext @ uri_foaf_mbox_sha1sum @ uri_ex_bob @ ( literal_plain @ dat_str_xyz ) )
& ( iext @ uri_foaf_mbox_sha1sum @ uri_ex_robert @ ( literal_plain @ dat_str_xyz ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_008_Inverse_Functional_Data_Properties) ).
thf(32,plain,
( ( iext @ uri_rdf_type @ uri_foaf_mbox_sha1sum @ uri_owl_DatatypeProperty )
& ( iext @ uri_rdf_type @ uri_foaf_mbox_sha1sum @ uri_owl_InverseFunctionalProperty )
& ( iext @ uri_foaf_mbox_sha1sum @ uri_ex_bob @ ( literal_plain @ dat_str_xyz ) )
& ( iext @ uri_foaf_mbox_sha1sum @ uri_ex_robert @ ( literal_plain @ dat_str_xyz ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(1,conjecture,
iext @ uri_owl_sameAs @ uri_ex_bob @ uri_ex_robert,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_008_Inverse_Functional_Data_Properties) ).
thf(2,negated_conjecture,
~ ( iext @ uri_owl_sameAs @ uri_ex_bob @ uri_ex_robert ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(7,plain,
~ ( iext @ uri_owl_sameAs @ uri_ex_bob @ uri_ex_robert ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,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(8,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)],[3]) ).
thf(37,plain,
$false,
inference(e,[status(thm)],[20,13,32,7,8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWB008+2 : TPTP v8.1.2. Released v5.2.0.
% 0.08/0.17 % Command : run_Leo-III %s %d
% 0.17/0.39 % Computer : n009.cluster.edu
% 0.17/0.39 % Model : x86_64 x86_64
% 0.17/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.39 % Memory : 8042.1875MB
% 0.17/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.39 % CPULimit : 300
% 0.17/0.39 % WCLimit : 300
% 0.17/0.39 % DateTime : Thu May 18 20:45:18 EDT 2023
% 0.17/0.39 % CPUTime :
% 0.95/0.87 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.25/1.01 % [INFO] Parsing done (133ms).
% 1.25/1.01 % [INFO] Running in sequential loop mode.
% 1.65/1.25 % [INFO] eprover registered as external prover.
% 1.65/1.25 % [INFO] cvc4 registered as external prover.
% 1.65/1.26 % [INFO] Scanning for conjecture ...
% 1.65/1.32 % [INFO] Found a conjecture and 4 axioms. Running axiom selection ...
% 1.81/1.34 % [INFO] Axiom selection finished. Selected 4 axioms (removed 0 axioms).
% 1.81/1.36 % [INFO] Problem is first-order (TPTP FOF).
% 1.81/1.37 % [INFO] Type checking passed.
% 1.81/1.37 % [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 ...
% 2.66/1.77 % External prover 'e' found a proof!
% 2.66/1.77 % [INFO] Killing All external provers ...
% 2.89/1.77 % Time passed: 1219ms (effective reasoning time: 752ms)
% 2.89/1.77 % 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)>
% 2.89/1.77 % Axioms used in derivation (4): owl_char_inversefunctional, owl_eqdis_sameas, testcase_premise_fullish_008_Inverse_Functional_Data_Properties, rdfs_cext_def
% 2.89/1.77 % No. of inferences in proof: 12
% 2.89/1.77 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1219 ms resp. 752 ms w/o parsing
% 2.98/1.81 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.98/1.81 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------