TSTP Solution File: SWB027+2 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SWB027+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n005.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 12:08:07 EDT 2023
% Result : Theorem 3.13s 1.77s
% Output : Refutation 3.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 19
% Syntax : Number of formulae : 28 ( 4 unt; 12 typ; 0 def)
% Number of atoms : 91 ( 6 equ; 0 cnn)
% Maximal formula atoms : 18 ( 5 avg)
% Number of connectives : 287 ( 2 ~; 0 |; 47 &; 210 @)
% ( 6 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 10 con; 0-3 aty)
% Number of variables : 54 ( 0 ^; 48 !; 6 ?; 54 :)
% 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(icext_type,type,
icext: $i > $i > $o ).
thf(uri_owl_sameAs_type,type,
uri_owl_sameAs: $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_propertyChainAxiom_type,type,
uri_owl_propertyChainAxiom: $i ).
thf(ip_type,type,
ip: $i > $o ).
thf(uri_owl_inverseOf_type,type,
uri_owl_inverseOf: $i ).
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(10,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(7,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_inverseOf @ A @ B )
<=> ( ( ip @ A )
& ( ip @ B )
& ! [C: $i,D: $i] :
( ( iext @ A @ C @ D )
<=> ( iext @ B @ D @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_inv) ).
thf(42,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_owl_inverseOf @ A @ B )
=> ( ( ip @ A )
& ( ip @ B )
& ! [C: $i,D: $i] :
( ( ( iext @ A @ C @ D )
=> ( iext @ B @ D @ C ) )
& ( ( iext @ B @ D @ C )
=> ( iext @ A @ C @ D ) ) ) ) )
& ( ( ( ip @ A )
& ( ip @ B )
& ! [C: $i,D: $i] :
( ( ( iext @ A @ C @ D )
=> ( iext @ B @ D @ C ) )
& ( ( iext @ B @ D @ C )
=> ( iext @ A @ C @ D ) ) ) )
=> ( iext @ uri_owl_inverseOf @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(8,axiom,
? [A: $i,B: $i,C: $i] :
( ( iext @ uri_owl_propertyChainAxiom @ uri_owl_sameAs @ A )
& ( iext @ uri_rdf_first @ A @ uri_ex_p )
& ( iext @ uri_rdf_rest @ A @ B )
& ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ uri_rdf_nil )
& ( iext @ uri_owl_inverseOf @ C @ uri_ex_p ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_027_Inferred_Property_Characteristics_II) ).
thf(57,plain,
? [A: $i,B: $i,C: $i] :
( ( iext @ uri_owl_propertyChainAxiom @ uri_owl_sameAs @ A )
& ( iext @ uri_rdf_first @ A @ uri_ex_p )
& ( iext @ uri_rdf_rest @ A @ B )
& ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ uri_rdf_nil )
& ( iext @ uri_owl_inverseOf @ C @ uri_ex_p ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(1,conjecture,
iext @ uri_rdf_type @ uri_ex_p @ uri_owl_InverseFunctionalProperty,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_027_Inferred_Property_Characteristics_II) ).
thf(2,negated_conjecture,
~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_InverseFunctionalProperty ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(9,plain,
~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_InverseFunctionalProperty ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_propertyChainAxiom @ A @ B )
<=> ( ( ip @ A )
& ( ip @ C )
& ( ip @ E )
& ! [F: $i,G: $i,H: $i] :
( ( ( iext @ C @ F @ G )
& ( iext @ E @ G @ H ) )
=> ( iext @ A @ F @ H ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_chain_002) ).
thf(22,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ uri_rdf_nil ) )
=> ( ( ( iext @ uri_owl_propertyChainAxiom @ A @ B )
=> ( ( ip @ A )
& ( ip @ C )
& ( ip @ E )
& ! [F: $i,G: $i,H: $i] :
( ( ( iext @ C @ F @ G )
& ( iext @ E @ G @ H ) )
=> ( iext @ A @ F @ H ) ) ) )
& ( ( ( ip @ A )
& ( ip @ C )
& ( ip @ E )
& ! [F: $i,G: $i,H: $i] :
( ( ( iext @ C @ F @ G )
& ( iext @ E @ G @ H ) )
=> ( iext @ A @ F @ H ) ) )
=> ( iext @ uri_owl_propertyChainAxiom @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(6,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(30,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)],[6]) ).
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(15,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(67,plain,
$false,
inference(e,[status(thm)],[10,42,57,9,22,30,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWB027+2 : TPTP v8.1.2. Released v5.2.0.
% 0.10/0.15 % Command : run_Leo-III %s %d
% 0.15/0.35 % Computer : n005.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
% 0.15/0.36 % DateTime : Thu May 18 20:58:39 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.85/0.83 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.21/0.95 % [INFO] Parsing done (120ms).
% 1.21/0.96 % [INFO] Running in sequential loop mode.
% 1.52/1.15 % [INFO] eprover registered as external prover.
% 1.52/1.15 % [INFO] cvc4 registered as external prover.
% 1.52/1.15 % [INFO] Scanning for conjecture ...
% 1.81/1.20 % [INFO] Found a conjecture and 6 axioms. Running axiom selection ...
% 1.81/1.22 % [INFO] Axiom selection finished. Selected 6 axioms (removed 0 axioms).
% 1.91/1.25 % [INFO] Problem is first-order (TPTP FOF).
% 1.91/1.26 % [INFO] Type checking passed.
% 1.91/1.26 % [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 ...
% 3.13/1.76 % External prover 'e' found a proof!
% 3.13/1.76 % [INFO] Killing All external provers ...
% 3.13/1.77 % Time passed: 1256ms (effective reasoning time: 806ms)
% 3.13/1.77 % 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)>
% 3.13/1.77 % Axioms used in derivation (6): owl_inv, owl_chain_002, owl_eqdis_sameas, owl_char_inversefunctional, testcase_premise_fullish_027_Inferred_Property_Characteristics_II, rdfs_cext_def
% 3.13/1.77 % No. of inferences in proof: 16
% 3.13/1.77 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1256 ms resp. 806 ms w/o parsing
% 3.42/1.80 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.42/1.80 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------