%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWB031+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 : n014.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 08:50:40 AM UTC 2026
% Result : Unsatisfiable 3.19s 7.75s
% Output : Refutation 3.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of formulae : 13 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 58 ( 5 equ; 0 cnn)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 155 ( 2 ~; 0 |; 24 &; 108 @)
% ( 5 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 9 con; 0-3 aty)
% Number of variables : 26 ( 0 ^; 22 !; 4 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
thf(ir_decl,type,
ir: $i > $o ).
thf(icext_decl,type,
icext: $i > $i > $o ).
thf(uri_owl_Thing_decl,type,
uri_owl_Thing: $i ).
thf(uri_owl_Nothing_decl,type,
uri_owl_Nothing: $i ).
thf(iext_decl,type,
iext: $i > $i > $i > $o ).
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_oneOf_decl,type,
uri_owl_oneOf: $i ).
thf(ic_decl,type,
ic: $i > $o ).
thf(uri_owl_equivalentClass_decl,type,
uri_owl_equivalentClass: $i ).
thf(uri_ex_w_decl,type,
uri_ex_w: $i ).
thf(2,axiom,
! [A: $i] :
( ( A @ ( uri_owl_Thing @ icext ) )
<=> ( A @ ir ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_thing_ext) ).
thf(9,plain,
! [A: $i] :
( ( ( A @ ir )
=> ( A @ ( uri_owl_Thing @ icext ) ) )
& ( ( A @ ( uri_owl_Thing @ icext ) )
=> ( A @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_equivalentClass @ iext ) ) )
<=> ( ! [C: $i] :
( ( C @ ( A @ icext ) )
<=> ( C @ ( B @ icext ) ) )
& ( B @ ic )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).
thf(34,plain,
! [A: $i,B: $i] :
( ( ( ! [C: $i] :
( ( ( C @ ( B @ icext ) )
=> ( C @ ( A @ icext ) ) )
& ( ( C @ ( A @ icext ) )
=> ( C @ ( B @ icext ) ) ) )
& ( B @ ic )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_owl_equivalentClass @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_equivalentClass @ iext ) ) )
=> ( ! [C: $i] :
( ( ( C @ ( B @ icext ) )
=> ( C @ ( A @ icext ) ) )
& ( ( C @ ( A @ icext ) )
=> ( C @ ( B @ icext ) ) ) )
& ( B @ ic )
& ( A @ ic ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(1,axiom,
! [A: $i] : ( A @ ir ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',simple_ir) ).
thf(7,plain,
! [A: $i] : ( A @ ir ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(4,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( B @ ( A @ ( uri_owl_oneOf @ iext ) ) )
<=> ( ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ( D = C ) )
& ( A @ ic ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_enum_class_001) ).
thf(18,plain,
! [A: $i,B: $i,C: $i] :
( ( ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( ( ! [D: $i] :
( ( ( D = C )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ( D = C ) ) )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_owl_oneOf @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_oneOf @ iext ) ) )
=> ( ! [D: $i] :
( ( ( D = C )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ( D = C ) ) )
& ( A @ ic ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(6,axiom,
? [A: $i,B: $i] :
( ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( uri_ex_w @ ( B @ ( uri_rdf_first @ iext ) ) )
& ( B @ ( A @ ( uri_owl_oneOf @ iext ) ) )
& ( A @ ( uri_owl_Thing @ ( uri_owl_equivalentClass @ iext ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_031_Large_Universe) ).
thf(50,plain,
? [A: $i,B: $i] :
( ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( uri_ex_w @ ( B @ ( uri_rdf_first @ iext ) ) )
& ( B @ ( A @ ( uri_owl_oneOf @ iext ) ) )
& ( A @ ( uri_owl_Thing @ ( uri_owl_equivalentClass @ iext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(3,axiom,
! [A: $i] :
~ ( A @ ( uri_owl_Nothing @ icext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_nothing_ext) ).
thf(15,plain,
! [A: $i] :
~ ( A @ ( uri_owl_Nothing @ icext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(57,plain,
$false,
inference(e,[status(thm)],[9,34,7,18,50,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB031+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % 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
% 0.10/5.42 % Computer : n014.cluster.edu
% 0.10/5.42 % Model : x86_64 x86_64
% 0.10/5.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.42 % Memory : 8046.5625MB
% 0.10/5.42 % OS : Linux 6.8.0-71-generic
% 0.10/5.42 % CPULimit : 300
% 0.10/5.42 % WCLimit : 300
% 0.10/5.42 % DateTime : Sat Sep 26 11:53:07 UTC 2026
% 0.10/5.42 % CPUTime :
% 0.10/5.42 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
% 0.93/6.20 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.09/6.35 % [INFO] Parsing done (150ms).
% 1.09/6.37 % [INFO] Running in sequential loop mode.
% 1.47/6.65 % [INFO] eprover registered as external prover.
% 1.47/6.66 % [INFO] Scanning for conjecture ...
% 1.47/6.70 % [INFO] 6 axioms and no conjecture found.
% 1.66/6.80 % [INFO] Problem is first-order (TPTP FOF).
% 1.80/6.80 % [INFO] Type checking passed.
% 1.80/6.81 % [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 ...
% 3.19/7.75 % External prover 'e' found a proof!
% 3.19/7.75 % [INFO] Killing All external provers ...
% 3.19/7.75 % Time passed: 2102ms (effective reasoning time: 1382ms)
% 3.19/7.75 % Axioms used in derivation (6): testcase_premise_fullish_031_Large_Universe, simple_ir, owl_class_nothing_ext, owl_class_thing_ext, owl_enum_class_001, owl_eqdis_equivalentclass
% 3.19/7.75 % No. of inferences in proof: 13
% 3.19/7.75 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 2102 ms resp. 1382 ms w/o parsing
% 3.19/7.79 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.19/7.80 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------