TSTP Solution File: SWB026+2 by Leo-III---1.7.7
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SWB026+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n026.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 12:08:06 EDT 2023
% Result : Theorem 3.37s 1.88s
% Output : Refutation 3.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 24
% Syntax : Number of formulae : 34 ( 6 unt; 16 typ; 0 def)
% Number of atoms : 75 ( 8 equ; 0 cnn)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 226 ( 2 ~; 0 |; 33 &; 167 @)
% ( 5 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 13 con; 0-3 aty)
% Number of variables : 42 ( 0 ^; 34 !; 8 ?; 42 :)
% Comments :
%------------------------------------------------------------------------------
thf(iext_type,type,
iext: $i > $i > $i > $o ).
thf(uri_rdf_type_type,type,
uri_rdf_type: $i ).
thf(uri_ex_p_type,type,
uri_ex_p: $i ).
thf(uri_owl_InverseFunctionalProperty_type,type,
uri_owl_InverseFunctionalProperty: $i ).
thf(uri_rdf_Property_type,type,
uri_rdf_Property: $i ).
thf(ip_type,type,
ip: $i > $o ).
thf(icext_type,type,
icext: $i > $i > $o ).
thf(uri_rdfs_domain_type,type,
uri_rdfs_domain: $i ).
thf(uri_rdf_first_type,type,
uri_rdf_first: $i ).
thf(uri_rdf_rest_type,type,
uri_rdf_rest: $i ).
thf(uri_rdf_nil_type,type,
uri_rdf_nil: $i ).
thf(uri_owl_oneOf_type,type,
uri_owl_oneOf: $i ).
thf(ic_type,type,
ic: $i > $o ).
thf(uri_ex_w_type,type,
uri_ex_w: $i ).
thf(uri_rdfs_range_type,type,
uri_rdfs_range: $i ).
thf(uri_ex_u_type,type,
uri_ex_u: $i ).
thf(1,conjecture,
iext @ uri_rdf_type @ uri_ex_p @ uri_owl_InverseFunctionalProperty,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_026_Inferred_Property_Characteristics_I) ).
thf(2,negated_conjecture,
~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_InverseFunctionalProperty ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(10,plain,
~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_InverseFunctionalProperty ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(9,axiom,
? [A: $i,B: $i,C: $i,D: $i] :
( ( iext @ uri_rdfs_domain @ uri_ex_p @ A )
& ( iext @ uri_owl_oneOf @ A @ C )
& ( iext @ uri_rdf_first @ C @ uri_ex_w )
& ( iext @ uri_rdf_rest @ C @ uri_rdf_nil )
& ( iext @ uri_rdfs_range @ uri_ex_p @ B )
& ( iext @ uri_owl_oneOf @ B @ D )
& ( iext @ uri_rdf_first @ D @ uri_ex_u )
& ( iext @ uri_rdf_rest @ D @ uri_rdf_nil ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_026_Inferred_Property_Characteristics_I) ).
thf(52,plain,
? [A: $i,B: $i,C: $i,D: $i] :
( ( iext @ uri_rdfs_domain @ uri_ex_p @ A )
& ( iext @ uri_owl_oneOf @ A @ C )
& ( iext @ uri_rdf_first @ C @ uri_ex_w )
& ( iext @ uri_rdf_rest @ C @ uri_rdf_nil )
& ( iext @ uri_rdfs_range @ uri_ex_p @ B )
& ( iext @ uri_owl_oneOf @ B @ D )
& ( iext @ uri_rdf_first @ D @ uri_ex_u )
& ( iext @ uri_rdf_rest @ D @ uri_rdf_nil ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(5,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( iext @ uri_rdfs_domain @ A @ B )
& ( iext @ A @ C @ D ) )
=> ( icext @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_domain_main) ).
thf(21,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( iext @ uri_rdfs_domain @ A @ B )
& ( iext @ A @ C @ D ) )
=> ( icext @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
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(16,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(3,axiom,
! [A: $i] :
( ( iext @ uri_rdf_type @ A @ uri_rdf_Property )
<=> ( ip @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_type_ip) ).
thf(11,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)],[3]) ).
thf(8,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(40,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)],[8]) ).
thf(6,axiom,
iext @ uri_rdfs_domain @ uri_rdfs_domain @ uri_rdf_Property,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_domain_domain) ).
thf(24,plain,
iext @ uri_rdfs_domain @ uri_rdfs_domain @ uri_rdf_Property,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(7,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_oneOf @ A @ B )
<=> ( ( ic @ A )
& ! [D: $i] :
( ( icext @ A @ D )
<=> ( D = C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_class_001) ).
thf(25,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ uri_rdf_nil ) )
=> ( ( ( iext @ uri_owl_oneOf @ A @ B )
=> ( ( ic @ A )
& ! [D: $i] :
( ( ( icext @ A @ D )
=> ( D = C ) )
& ( ( D = C )
=> ( icext @ A @ D ) ) ) ) )
& ( ( ( ic @ A )
& ! [D: $i] :
( ( ( icext @ A @ D )
=> ( D = C ) )
& ( ( D = C )
=> ( icext @ A @ D ) ) ) )
=> ( iext @ uri_owl_oneOf @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(64,plain,
$false,
inference(e,[status(thm)],[10,52,21,16,11,40,24,25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWB026+2 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n026.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Thu May 18 21:06:36 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.98/0.87 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.09/0.99 % [INFO] Parsing done (117ms).
% 1.09/1.00 % [INFO] Running in sequential loop mode.
% 1.67/1.22 % [INFO] eprover registered as external prover.
% 1.77/1.22 % [INFO] cvc4 registered as external prover.
% 1.77/1.23 % [INFO] Scanning for conjecture ...
% 1.80/1.28 % [INFO] Found a conjecture and 7 axioms. Running axiom selection ...
% 1.80/1.31 % [INFO] Axiom selection finished. Selected 7 axioms (removed 0 axioms).
% 1.99/1.34 % [INFO] Problem is first-order (TPTP FOF).
% 1.99/1.35 % [INFO] Type checking passed.
% 1.99/1.35 % [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 ...
% 3.37/1.88 % External prover 'e' found a proof!
% 3.37/1.88 % [INFO] Killing All external provers ...
% 3.37/1.88 % Time passed: 1358ms (effective reasoning time: 876ms)
% 3.37/1.88 % 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)>
% 3.37/1.88 % Axioms used in derivation (7): testcase_premise_fullish_026_Inferred_Property_Characteristics_I, rdfs_domain_main, rdfs_domain_domain, owl_char_inversefunctional, rdf_type_ip, owl_enum_class_001, rdfs_cext_def
% 3.37/1.88 % No. of inferences in proof: 18
% 3.37/1.88 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1358 ms resp. 876 ms w/o parsing
% 3.68/1.92 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.68/1.92 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------