%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWB023+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 3.64s 12.42s
% Output : Refutation 3.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of formulae : 14 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 68 ( 11 equ; 0 cnn)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 201 ( 2 ~; 0 |; 32 &; 145 @)
% ( 5 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 12 con; 0-3 aty)
% Number of variables : 32 ( 0 ^; 28 !; 4 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
thf(iext_decl,type,
iext: $i > $i > $i > $o ).
thf(uri_owl_sameAs_decl,type,
uri_owl_sameAs: $i ).
thf(uri_ex_w_decl,type,
uri_ex_w: $i ).
thf(uri_ex_u_decl,type,
uri_ex_u: $i ).
thf(uri_ex_v_decl,type,
uri_ex_v: $i ).
thf(uri_rdf_type_decl,type,
uri_rdf_type: $i ).
thf(icext_decl,type,
icext: $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_FunctionalProperty_decl,type,
uri_owl_FunctionalProperty: $i ).
thf(ip_decl,type,
ip: $i > $o ).
thf(uri_owl_Class_decl,type,
uri_owl_Class: $i ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdf_type @ iext ) ) )
<=> ( A @ ( B @ icext ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).
thf(10,plain,
! [A: $i,B: $i] :
( ( ( A @ ( B @ icext ) )
=> ( B @ ( A @ ( uri_rdf_type @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_rdf_type @ iext ) ) )
=> ( A @ ( B @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(7,axiom,
? [A: $i,B: $i] :
( ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( uri_ex_v @ ( B @ ( uri_rdf_first @ iext ) ) )
& ( uri_ex_u @ ( B @ ( uri_rdf_first @ iext ) ) )
& ( B @ ( A @ ( uri_owl_oneOf @ iext ) ) )
& ( uri_owl_Class @ ( A @ ( uri_rdf_type @ iext ) ) )
& ( A @ ( uri_ex_w @ ( uri_rdf_type @ iext ) ) )
& ( uri_owl_FunctionalProperty @ ( uri_rdf_first @ ( uri_rdf_type @ iext ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_023_Unique_List_Components) ).
thf(53,plain,
? [A: $i,B: $i] :
( ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( uri_ex_v @ ( B @ ( uri_rdf_first @ iext ) ) )
& ( uri_ex_u @ ( B @ ( uri_rdf_first @ iext ) ) )
& ( B @ ( A @ ( uri_owl_oneOf @ iext ) ) )
& ( uri_owl_Class @ ( A @ ( uri_rdf_type @ iext ) ) )
& ( A @ ( uri_ex_w @ ( uri_rdf_type @ iext ) ) )
& ( uri_owl_FunctionalProperty @ ( uri_rdf_first @ ( uri_rdf_type @ iext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
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(16,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(1,conjecture,
( ( uri_ex_v @ ( uri_ex_w @ ( uri_owl_sameAs @ iext ) ) )
& ( uri_ex_u @ ( uri_ex_w @ ( uri_owl_sameAs @ iext ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_023_Unique_List_Components) ).
thf(2,negated_conjecture,
~ ( ( uri_ex_v @ ( uri_ex_w @ ( uri_owl_sameAs @ iext ) ) )
& ( uri_ex_u @ ( uri_ex_w @ ( uri_owl_sameAs @ iext ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(8,plain,
~ ( ( uri_ex_v @ ( uri_ex_w @ ( uri_owl_sameAs @ iext ) ) )
& ( uri_ex_u @ ( uri_ex_w @ ( uri_owl_sameAs @ iext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,axiom,
! [A: $i] :
( ( A @ ( uri_owl_FunctionalProperty @ icext ) )
<=> ( ! [B: $i,C: $i,D: $i] :
( ( ( D @ ( B @ ( A @ iext ) ) )
& ( C @ ( B @ ( A @ iext ) ) ) )
=> ( C = D ) )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_char_functional) ).
thf(32,plain,
! [A: $i] :
( ( ( ! [B: $i,C: $i,D: $i] :
( ( ( D @ ( B @ ( A @ iext ) ) )
& ( C @ ( B @ ( A @ iext ) ) ) )
=> ( C = D ) )
& ( A @ ip ) )
=> ( A @ ( uri_owl_FunctionalProperty @ icext ) ) )
& ( ( A @ ( uri_owl_FunctionalProperty @ icext ) )
=> ( ! [B: $i,C: $i,D: $i] :
( ( ( D @ ( B @ ( A @ iext ) ) )
& ( C @ ( B @ ( A @ iext ) ) ) )
=> ( C = D ) )
& ( A @ ip ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(6,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_sameAs @ iext ) ) )
<=> ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
thf(45,plain,
! [A: $i,B: $i] :
( ( ( A = B )
=> ( B @ ( A @ ( uri_owl_sameAs @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_sameAs @ iext ) ) )
=> ( A = B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(63,plain,
$false,
inference(e,[status(thm)],[10,53,16,8,32,45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWB023+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % 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
% 0.09/10.36 % Computer : n006.cluster.edu
% 0.09/10.36 % Model : x86_64 x86_64
% 0.09/10.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.36 % Memory : 8046.5625MB
% 0.09/10.36 % OS : Linux 6.8.0-71-generic
% 0.09/10.36 % CPULimit : 300
% 0.09/10.36 % WCLimit : 300
% 0.09/10.36 % DateTime : Sat Sep 26 11:49:21 UTC 2026
% 0.09/10.36 % CPUTime :
% 0.09/10.36 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
% 0.11/10.96 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.20/11.14 % [INFO] Parsing done (181ms).
% 1.20/11.15 % [INFO] Running in sequential loop mode.
% 1.70/11.56 % [INFO] eprover registered as external prover.
% 1.70/11.57 % [INFO] Scanning for conjecture ...
% 1.88/11.66 % [INFO] Found a conjecture (or negated_conjecture) and 5 axioms. Running axiom selection ...
% 1.88/11.69 % [INFO] Axiom selection finished. Selected 5 axioms (removed 0 axioms).
% 2.03/11.72 % [INFO] Problem is first-order (TPTP FOF).
% 2.03/11.73 % [INFO] Type checking passed.
% 2.03/11.74 % [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 ...
% 3.64/12.41 % External prover 'e' found a proof!
% 3.64/12.41 % [INFO] Killing All external provers ...
% 3.64/12.41 % Time passed: 1908ms (effective reasoning time: 1253ms)
% 3.64/12.41 % 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)>
% 3.64/12.41 % Axioms used in derivation (5): owl_eqdis_sameas, owl_char_functional, testcase_premise_fullish_023_Unique_List_Components, owl_enum_class_001, rdfs_cext_def
% 3.64/12.41 % No. of inferences in proof: 14
% 3.64/12.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1908 ms resp. 1253 ms w/o parsing
% 3.64/12.46 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.64/12.47 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------