TSTP Solution File: SWB030+2 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SWB030+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n002.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 12:08:08 EDT 2023
% Result : Unsatisfiable 2.58s 1.56s
% Output : Refutation 2.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 17
% Syntax : Number of formulae : 22 ( 1 unt; 13 typ; 0 def)
% Number of atoms : 39 ( 0 equ; 0 cnn)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 131 ( 3 ~; 0 |; 17 &; 98 @)
% ( 3 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 13 usr; 10 con; 0-3 aty)
% Number of variables : 20 ( 0 ^; 18 !; 2 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(iext_type,type,
iext: $i > $i > $i > $o ).
thf(uri_rdf_type_type,type,
uri_rdf_type: $i ).
thf(icext_type,type,
icext: $i > $i > $o ).
thf(uri_owl_hasSelf_type,type,
uri_owl_hasSelf: $i ).
thf(uri_owl_onProperty_type,type,
uri_owl_onProperty: $i ).
thf(uri_owl_complementOf_type,type,
uri_owl_complementOf: $i ).
thf(ic_type,type,
ic: $i > $o ).
thf(uri_ex_c_type,type,
uri_ex_c: $i ).
thf(uri_owl_Class_type,type,
uri_owl_Class: $i ).
thf(uri_owl_Restriction_type,type,
uri_owl_Restriction: $i ).
thf(literal_typed_type,type,
literal_typed: $i > $i > $i ).
thf(dat_str_true_type,type,
dat_str_true: $i ).
thf(uri_xsd_boolean_type,type,
uri_xsd_boolean: $i ).
thf(1,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(5,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)],[1]) ).
thf(2,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_hasSelf @ A @ C )
& ( iext @ uri_owl_onProperty @ A @ B ) )
=> ! [D: $i] :
( ( icext @ A @ D )
<=> ( iext @ B @ D @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_hasself) ).
thf(10,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_hasSelf @ A @ C )
& ( iext @ uri_owl_onProperty @ A @ B ) )
=> ! [D: $i] :
( ( ( icext @ A @ D )
=> ( iext @ B @ D @ D ) )
& ( ( iext @ B @ D @ D )
=> ( icext @ A @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_complementOf @ A @ B )
=> ( ( ic @ A )
& ( ic @ B )
& ! [C: $i] :
( ( icext @ A @ C )
<=> ~ ( icext @ B @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_complementof_class) ).
thf(15,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_complementOf @ A @ B )
=> ( ( ic @ A )
& ( ic @ B )
& ! [C: $i] :
( ( ( icext @ A @ C )
=> ~ ( icext @ B @ C ) )
& ( ~ ( icext @ B @ C )
=> ( icext @ A @ C ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,axiom,
? [A: $i] :
( ( iext @ uri_rdf_type @ uri_ex_c @ uri_owl_Class )
& ( iext @ uri_owl_complementOf @ uri_ex_c @ A )
& ( iext @ uri_rdf_type @ A @ uri_owl_Restriction )
& ( iext @ uri_owl_onProperty @ A @ uri_rdf_type )
& ( iext @ uri_owl_hasSelf @ A @ ( literal_typed @ dat_str_true @ uri_xsd_boolean ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_030_Bad_Class) ).
thf(22,plain,
? [A: $i] :
( ( iext @ uri_rdf_type @ uri_ex_c @ uri_owl_Class )
& ( iext @ uri_owl_complementOf @ uri_ex_c @ A )
& ( iext @ uri_rdf_type @ A @ uri_owl_Restriction )
& ( iext @ uri_owl_onProperty @ A @ uri_rdf_type )
& ( iext @ uri_owl_hasSelf @ A @ ( literal_typed @ dat_str_true @ uri_xsd_boolean ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(29,plain,
$false,
inference(e,[status(thm)],[5,10,15,22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWB030+2 : TPTP v8.1.2. Released v5.2.0.
% 0.06/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n002.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu May 18 21:05:35 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.91/0.84 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.20/0.94 % [INFO] Parsing done (107ms).
% 1.20/0.95 % [INFO] Running in sequential loop mode.
% 1.55/1.15 % [INFO] eprover registered as external prover.
% 1.55/1.15 % [INFO] cvc4 registered as external prover.
% 1.64/1.16 % [INFO] Scanning for conjecture ...
% 1.64/1.18 % [INFO] 4 axioms and no conjecture found.
% 1.64/1.22 % [INFO] Problem is first-order (TPTP FOF).
% 1.64/1.22 % [INFO] Type checking passed.
% 1.64/1.23 % [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 ...
% 2.58/1.55 % External prover 'e' found a proof!
% 2.58/1.55 % [INFO] Killing All external provers ...
% 2.58/1.55 % Time passed: 1042ms (effective reasoning time: 600ms)
% 2.58/1.56 % Axioms used in derivation (4): rdfs_cext_def, owl_restrict_hasself, owl_bool_complementof_class, testcase_premise_fullish_030_Bad_Class
% 2.58/1.56 % No. of inferences in proof: 9
% 2.58/1.56 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1042 ms resp. 600 ms w/o parsing
% 2.73/1.58 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.73/1.58 % [INFO] Killing All external provers ...
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