%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWB025+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 08:50:37 AM UTC 2026
% Result : Theorem 5.75s 8.49s
% Output : Refutation 6.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 10 ( 1 unt; 0 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 : 0 ( 0 >; 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_decl,type,
iext: $i > $i > $i > $o ).
thf(uri_ex_hasUncle_decl,type,
uri_ex_hasUncle: $i ).
thf(uri_ex_alice_decl,type,
uri_ex_alice: $i ).
thf(uri_ex_charly_decl,type,
uri_ex_charly: $i ).
thf(uri_ex_hasCousin_decl,type,
uri_ex_hasCousin: $i ).
thf(uri_ex_bob_decl,type,
uri_ex_bob: $i ).
thf(uri_rdf_first_decl,type,
uri_rdf_first: $i ).
thf(uri_rdf_rest_decl,type,
uri_rdf_rest: $i ).
thf(uri_rdf_nil_decl,type,
uri_rdf_nil: $i ).
thf(uri_owl_propertyChainAxiom_decl,type,
uri_owl_propertyChainAxiom: $i ).
thf(ip_decl,type,
ip: $i > $o ).
thf(uri_owl_inverseOf_decl,type,
uri_owl_inverseOf: $i ).
thf(uri_ex_hasFather_decl,type,
uri_ex_hasFather: $i ).
thf(uri_ex_dave_decl,type,
uri_ex_dave: $i ).
thf(1,conjecture,
( ( uri_ex_alice @ ( uri_ex_bob @ ( uri_ex_hasCousin @ iext ) ) )
& ( uri_ex_charly @ ( uri_ex_alice @ ( uri_ex_hasUncle @ iext ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_025_Cyclic_Dependencies_between_Complex_Properties) ).
thf(2,negated_conjecture,
~ ( ( uri_ex_alice @ ( uri_ex_bob @ ( uri_ex_hasCousin @ iext ) ) )
& ( uri_ex_charly @ ( uri_ex_alice @ ( uri_ex_hasUncle @ iext ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(6,plain,
~ ( ( uri_ex_alice @ ( uri_ex_bob @ ( uri_ex_hasCousin @ iext ) ) )
& ( uri_ex_charly @ ( uri_ex_alice @ ( uri_ex_hasUncle @ iext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( B @ ( A @ ( uri_owl_propertyChainAxiom @ iext ) ) )
<=> ( ! [F: $i,G: $i,H: $i] :
( ( ( H @ ( G @ ( E @ iext ) ) )
& ( G @ ( F @ ( C @ iext ) ) ) )
=> ( H @ ( F @ ( A @ iext ) ) ) )
& ( E @ ip )
& ( C @ ip )
& ( A @ ip ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_chain_002) ).
thf(8,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( ( ! [F: $i,G: $i,H: $i] :
( ( ( H @ ( G @ ( E @ iext ) ) )
& ( G @ ( F @ ( C @ iext ) ) ) )
=> ( H @ ( F @ ( A @ iext ) ) ) )
& ( E @ ip )
& ( C @ ip )
& ( A @ ip ) )
=> ( B @ ( A @ ( uri_owl_propertyChainAxiom @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_propertyChainAxiom @ iext ) ) )
=> ( ! [F: $i,G: $i,H: $i] :
( ( ( H @ ( G @ ( E @ iext ) ) )
& ( G @ ( F @ ( C @ iext ) ) ) )
=> ( H @ ( F @ ( A @ iext ) ) ) )
& ( E @ ip )
& ( C @ ip )
& ( A @ ip ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_inverseOf @ iext ) ) )
<=> ( ! [C: $i,D: $i] :
( ( D @ ( C @ ( A @ iext ) ) )
<=> ( C @ ( D @ ( B @ iext ) ) ) )
& ( B @ ip )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_inv) ).
thf(17,plain,
! [A: $i,B: $i] :
( ( ( ! [C: $i,D: $i] :
( ( ( C @ ( D @ ( B @ iext ) ) )
=> ( D @ ( C @ ( A @ iext ) ) ) )
& ( ( D @ ( C @ ( A @ iext ) ) )
=> ( C @ ( D @ ( B @ iext ) ) ) ) )
& ( B @ ip )
& ( A @ ip ) )
=> ( B @ ( A @ ( uri_owl_inverseOf @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_inverseOf @ iext ) ) )
=> ( ! [C: $i,D: $i] :
( ( ( C @ ( D @ ( B @ iext ) ) )
=> ( D @ ( C @ ( A @ iext ) ) ) )
& ( ( D @ ( C @ ( A @ iext ) ) )
=> ( C @ ( D @ ( B @ iext ) ) ) ) )
& ( B @ ip )
& ( A @ ip ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(5,axiom,
? [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( uri_ex_dave @ ( uri_ex_bob @ ( uri_ex_hasUncle @ iext ) ) )
& ( uri_ex_charly @ ( uri_ex_bob @ ( uri_ex_hasFather @ iext ) ) )
& ( uri_ex_bob @ ( uri_ex_alice @ ( uri_ex_hasCousin @ iext ) ) )
& ( uri_ex_dave @ ( uri_ex_alice @ ( uri_ex_hasFather @ iext ) ) )
& ( uri_ex_hasFather @ ( E @ ( uri_owl_inverseOf @ iext ) ) )
& ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( C @ ( uri_rdf_rest @ iext ) ) )
& ( uri_ex_hasUncle @ ( C @ ( uri_rdf_first @ iext ) ) )
& ( C @ ( uri_ex_hasCousin @ ( uri_owl_propertyChainAxiom @ iext ) ) )
& ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( uri_ex_hasFather @ ( B @ ( uri_rdf_first @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( uri_ex_hasCousin @ ( A @ ( uri_rdf_first @ iext ) ) )
& ( A @ ( uri_ex_hasUncle @ ( uri_owl_propertyChainAxiom @ iext ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties) ).
thf(33,plain,
? [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( uri_ex_dave @ ( uri_ex_bob @ ( uri_ex_hasUncle @ iext ) ) )
& ( uri_ex_charly @ ( uri_ex_bob @ ( uri_ex_hasFather @ iext ) ) )
& ( uri_ex_bob @ ( uri_ex_alice @ ( uri_ex_hasCousin @ iext ) ) )
& ( uri_ex_dave @ ( uri_ex_alice @ ( uri_ex_hasFather @ iext ) ) )
& ( uri_ex_hasFather @ ( E @ ( uri_owl_inverseOf @ iext ) ) )
& ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( C @ ( uri_rdf_rest @ iext ) ) )
& ( uri_ex_hasUncle @ ( C @ ( uri_rdf_first @ iext ) ) )
& ( C @ ( uri_ex_hasCousin @ ( uri_owl_propertyChainAxiom @ iext ) ) )
& ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( uri_ex_hasFather @ ( B @ ( uri_rdf_first @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( uri_ex_hasCousin @ ( A @ ( uri_rdf_first @ iext ) ) )
& ( A @ ( uri_ex_hasUncle @ ( uri_owl_propertyChainAxiom @ iext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(51,plain,
$false,
inference(e,[status(thm)],[6,8,17,33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWB025+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.11 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.22/5.48 % Computer : n006.cluster.edu
% 0.22/5.48 % Model : x86_64 x86_64
% 0.22/5.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/5.48 % Memory : 8046.5625MB
% 0.22/5.48 % OS : Linux 6.8.0-71-generic
% 0.22/5.48 % CPULimit : 300
% 0.22/5.48 % WCLimit : 300
% 0.22/5.48 % DateTime : Sat Sep 26 11:50:01 UTC 2026
% 0.22/5.49 % CPUTime :
% 0.22/5.49 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 1.24/6.26 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.73/6.52 % [INFO] Parsing done (259ms).
% 1.73/6.54 % [INFO] Running in sequential loop mode.
% 2.61/7.10 % [INFO] eprover registered as external prover.
% 2.61/7.11 % [INFO] Scanning for conjecture ...
% 2.94/7.20 % [INFO] Found a conjecture (or negated_conjecture) and 3 axioms. Running axiom selection ...
% 2.94/7.23 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 2.94/7.28 % [INFO] Problem is first-order (TPTP FOF).
% 2.94/7.29 % [INFO] Type checking passed.
% 3.14/7.30 % [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 ...
% 5.75/8.49 % External prover 'e' found a proof!
% 5.75/8.49 % [INFO] Killing All external provers ...
% 5.75/8.49 % Time passed: 2797ms (effective reasoning time: 1940ms)
% 5.75/8.49 % 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)>
% 5.75/8.49 % Axioms used in derivation (3): owl_chain_002, owl_inv, testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties
% 5.75/8.49 % No. of inferences in proof: 10
% 5.75/8.49 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2797 ms resp. 1940 ms w/o parsing
% 6.08/8.57 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.08/8.58 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------