TSTP Solution File: SWB025+2 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SWB025+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 12:08:05 EDT 2023
% Result : Theorem 3.11s 1.77s
% Output : Refutation 3.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 18
% Syntax : Number of formulae : 24 ( 1 unt; 14 typ; 0 def)
% Number of atoms : 85 ( 0 equ; 0 cnn)
% Maximal formula atoms : 18 ( 8 avg)
% Number of connectives : 299 ( 2 ~; 0 |; 59 &; 222 @)
% ( 3 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 13 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 14 usr; 13 con; 0-3 aty)
% Number of variables : 39 ( 0 ^; 29 !; 10 ?; 39 :)
% Comments :
%------------------------------------------------------------------------------
thf(iext_type,type,
iext: $i > $i > $i > $o ).
thf(uri_ex_hasUncle_type,type,
uri_ex_hasUncle: $i ).
thf(uri_ex_alice_type,type,
uri_ex_alice: $i ).
thf(uri_ex_charly_type,type,
uri_ex_charly: $i ).
thf(uri_ex_hasCousin_type,type,
uri_ex_hasCousin: $i ).
thf(uri_ex_bob_type,type,
uri_ex_bob: $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(uri_ex_hasFather_type,type,
uri_ex_hasFather: $i ).
thf(uri_ex_dave_type,type,
uri_ex_dave: $i ).
thf(1,conjecture,
( ( iext @ uri_ex_hasUncle @ uri_ex_alice @ uri_ex_charly )
& ( iext @ uri_ex_hasCousin @ uri_ex_bob @ uri_ex_alice ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_025_Cyclic_Dependencies_between_Complex_Properties) ).
thf(2,negated_conjecture,
~ ( ( iext @ uri_ex_hasUncle @ uri_ex_alice @ uri_ex_charly )
& ( iext @ uri_ex_hasCousin @ uri_ex_bob @ uri_ex_alice ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(6,plain,
~ ( ( iext @ uri_ex_hasUncle @ uri_ex_alice @ uri_ex_charly )
& ( iext @ uri_ex_hasCousin @ uri_ex_bob @ uri_ex_alice ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,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(8,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)],[3]) ).
thf(4,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(16,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)],[4]) ).
thf(5,axiom,
? [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ A )
& ( iext @ uri_rdf_first @ A @ uri_ex_hasCousin )
& ( iext @ uri_rdf_rest @ A @ B )
& ( iext @ uri_rdf_first @ B @ uri_ex_hasFather )
& ( iext @ uri_rdf_rest @ B @ uri_rdf_nil )
& ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ C )
& ( iext @ uri_rdf_first @ C @ uri_ex_hasUncle )
& ( iext @ uri_rdf_rest @ C @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ uri_rdf_nil )
& ( iext @ uri_owl_inverseOf @ E @ uri_ex_hasFather )
& ( iext @ uri_ex_hasFather @ uri_ex_alice @ uri_ex_dave )
& ( iext @ uri_ex_hasCousin @ uri_ex_alice @ uri_ex_bob )
& ( iext @ uri_ex_hasFather @ uri_ex_bob @ uri_ex_charly )
& ( iext @ uri_ex_hasUncle @ uri_ex_bob @ uri_ex_dave ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties) ).
thf(31,plain,
? [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasUncle @ A )
& ( iext @ uri_rdf_first @ A @ uri_ex_hasCousin )
& ( iext @ uri_rdf_rest @ A @ B )
& ( iext @ uri_rdf_first @ B @ uri_ex_hasFather )
& ( iext @ uri_rdf_rest @ B @ uri_rdf_nil )
& ( iext @ uri_owl_propertyChainAxiom @ uri_ex_hasCousin @ C )
& ( iext @ uri_rdf_first @ C @ uri_ex_hasUncle )
& ( iext @ uri_rdf_rest @ C @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ uri_rdf_nil )
& ( iext @ uri_owl_inverseOf @ E @ uri_ex_hasFather )
& ( iext @ uri_ex_hasFather @ uri_ex_alice @ uri_ex_dave )
& ( iext @ uri_ex_hasCousin @ uri_ex_alice @ uri_ex_bob )
& ( iext @ uri_ex_hasFather @ uri_ex_bob @ uri_ex_charly )
& ( iext @ uri_ex_hasUncle @ uri_ex_bob @ uri_ex_dave ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(48,plain,
$false,
inference(e,[status(thm)],[6,8,16,31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWB025+2 : TPTP v8.1.2. Released v5.2.0.
% 0.13/0.14 % Command : run_Leo-III %s %d
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 18 21:07:05 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.82/0.84 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.26/0.96 % [INFO] Parsing done (120ms).
% 1.26/0.97 % [INFO] Running in sequential loop mode.
% 1.65/1.16 % [INFO] eprover registered as external prover.
% 1.65/1.17 % [INFO] cvc4 registered as external prover.
% 1.65/1.17 % [INFO] Scanning for conjecture ...
% 1.74/1.22 % [INFO] Found a conjecture and 3 axioms. Running axiom selection ...
% 1.85/1.24 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 1.87/1.27 % [INFO] Problem is first-order (TPTP FOF).
% 1.87/1.27 % [INFO] Type checking passed.
% 1.87/1.28 % [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 ...
% 3.11/1.72 % External prover 'e' found a proof!
% 3.11/1.72 % [INFO] Killing All external provers ...
% 3.11/1.72 % Time passed: 1201ms (effective reasoning time: 747ms)
% 3.11/1.72 % 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)>
% 3.11/1.72 % Axioms used in derivation (3): owl_chain_002, owl_inv, testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties
% 3.11/1.72 % No. of inferences in proof: 10
% 3.11/1.77 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1201 ms resp. 747 ms w/o parsing
% 3.55/1.80 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.55/1.80 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------