%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWB032+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/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 08:50:40 AM UTC 2026
% Result : Theorem 5.08s 3.35s
% Output : Refutation 5.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 12
% Syntax : Number of formulae : 26 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 67 ( 0 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 170 ( 7 ~; 0 |; 22 &; 122 @)
% ( 2 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 12 usr; 9 con; 0-3 aty)
% Number of variables : 26 ( 0 ^; 26 !; 0 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
thf(iext_decl,type,
iext: $i > $i > $i > $o ).
thf(uri_owl_disjointWith_decl,type,
uri_owl_disjointWith: $i ).
thf(uri_xsd_decimal_decl,type,
uri_xsd_decimal: $i ).
thf(uri_xsd_string_decl,type,
uri_xsd_string: $i ).
thf(uri_rdfs_subClassOf_decl,type,
uri_rdfs_subClassOf: $i ).
thf(uri_xsd_integer_decl,type,
uri_xsd_integer: $i ).
thf(idc_decl,type,
idc: $i > $o ).
thf(icext_decl,type,
icext: $i > $i > $o ).
thf(uri_rdf_PlainLiteral_decl,type,
uri_rdf_PlainLiteral: $i ).
thf(uri_owl_real_decl,type,
uri_owl_real: $i ).
thf(uri_owl_rational_decl,type,
uri_owl_rational: $i ).
thf(ic_decl,type,
ic: $i > $o ).
thf(1,conjecture,
( ( uri_xsd_decimal @ ( uri_xsd_integer @ ( uri_rdfs_subClassOf @ iext ) ) )
& ( uri_xsd_string @ ( uri_xsd_decimal @ ( uri_owl_disjointWith @ iext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_032_Datatype_Relationships) ).
thf(2,negated_conjecture,
~ ( ( uri_xsd_decimal @ ( uri_xsd_integer @ ( uri_rdfs_subClassOf @ iext ) ) )
& ( uri_xsd_string @ ( uri_xsd_decimal @ ( uri_owl_disjointWith @ iext ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(14,plain,
~ ( ( uri_xsd_decimal @ ( uri_xsd_integer @ ( uri_rdfs_subClassOf @ iext ) ) )
& ( uri_xsd_string @ ( uri_xsd_decimal @ ( uri_owl_disjointWith @ iext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(10,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_integer @ icext ) )
=> ( A @ ( uri_xsd_decimal @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_integer_decimal) ).
thf(28,plain,
! [A: $i] :
( ( A @ ( uri_xsd_integer @ icext ) )
=> ( A @ ( uri_xsd_decimal @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(7,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_string @ icext ) )
=> ( A @ ( uri_rdf_PlainLiteral @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_string_plainliteral) ).
thf(22,plain,
! [A: $i] :
( ( A @ ( uri_xsd_string @ icext ) )
=> ( A @ ( uri_rdf_PlainLiteral @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(5,axiom,
uri_xsd_integer @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_integer_type) ).
thf(18,plain,
uri_xsd_integer @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(3,axiom,
uri_xsd_string @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_string_type) ).
thf(16,plain,
uri_xsd_string @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(9,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_decimal @ icext ) )
=> ( A @ ( uri_owl_rational @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_decimal_rational) ).
thf(26,plain,
! [A: $i] :
( ( A @ ( uri_xsd_decimal @ icext ) )
=> ( A @ ( uri_owl_rational @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(13,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_disjointWith @ iext ) ) )
<=> ( ! [C: $i] :
~ ( ( C @ ( B @ icext ) )
& ( C @ ( A @ icext ) ) )
& ( B @ ic )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_disjointwith) ).
thf(42,plain,
! [A: $i,B: $i] :
( ( ( ! [C: $i] :
~ ( ( C @ ( B @ icext ) )
& ( C @ ( A @ icext ) ) )
& ( B @ ic )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_owl_disjointWith @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_disjointWith @ iext ) ) )
=> ( ! [C: $i] :
~ ( ( C @ ( B @ icext ) )
& ( C @ ( A @ icext ) ) )
& ( B @ ic )
& ( A @ ic ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(8,axiom,
! [A: $i] :
( ( A @ ( uri_owl_rational @ icext ) )
=> ( A @ ( uri_owl_real @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_rational_real) ).
thf(24,plain,
! [A: $i] :
( ( A @ ( uri_owl_rational @ icext ) )
=> ( A @ ( uri_owl_real @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(12,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) )
<=> ( ! [C: $i] :
( ( C @ ( A @ icext ) )
=> ( C @ ( B @ icext ) ) )
& ( B @ ic )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).
thf(32,plain,
! [A: $i,B: $i] :
( ( ( ! [C: $i] :
( ( C @ ( A @ icext ) )
=> ( C @ ( B @ icext ) ) )
& ( B @ ic )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) )
=> ( ! [C: $i] :
( ( C @ ( A @ icext ) )
=> ( C @ ( B @ icext ) ) )
& ( B @ ic )
& ( A @ ic ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(4,axiom,
uri_xsd_decimal @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_decimal_type) ).
thf(17,plain,
uri_xsd_decimal @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(11,axiom,
! [A: $i] :
( ( A @ idc )
=> ( A @ ic ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_idc_cond_set) ).
thf(30,plain,
! [A: $i] :
( ( A @ idc )
=> ( A @ ic ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(6,axiom,
! [A: $i] :
~ ( ( A @ ( uri_owl_real @ icext ) )
& ( A @ ( uri_rdf_PlainLiteral @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_plainliteral_real) ).
thf(19,plain,
! [A: $i] :
~ ( ( A @ ( uri_owl_real @ icext ) )
& ( A @ ( uri_rdf_PlainLiteral @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(55,plain,
$false,
inference(e,[status(thm)],[14,28,22,18,16,26,42,24,32,17,30,19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWB032+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.12 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.26/0.50 % Computer : n006.cluster.edu
% 0.26/0.50 % Model : x86_64 x86_64
% 0.26/0.50 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.26/0.50 % Memory : 8046.5625MB
% 0.26/0.50 % OS : Linux 6.8.0-71-generic
% 0.26/0.50 % CPULimit : 300
% 0.26/0.50 % WCLimit : 300
% 0.26/0.50 % DateTime : Sat Sep 26 11:53:11 UTC 2026
% 0.25/0.51 % CPUTime :
% 0.25/0.51 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 1.38/1.31 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.69/1.58 % [INFO] Parsing done (257ms).
% 1.69/1.60 % [INFO] Running in sequential loop mode.
% 2.72/2.17 % [INFO] eprover registered as external prover.
% 2.72/2.18 % [INFO] Scanning for conjecture ...
% 2.95/2.30 % [INFO] Found a conjecture (or negated_conjecture) and 11 axioms. Running axiom selection ...
% 2.95/2.34 % [INFO] Axiom selection finished. Selected 11 axioms (removed 0 axioms).
% 2.95/2.39 % [INFO] Problem is first-order (TPTP FOF).
% 2.95/2.40 % [INFO] Type checking passed.
% 3.13/2.40 % [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 ...
% 5.08/3.34 % External prover 'e' found a proof!
% 5.08/3.34 % [INFO] Killing All external provers ...
% 5.08/3.34 % Time passed: 2639ms (effective reasoning time: 1738ms)
% 5.08/3.34 % 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)>
% 5.08/3.35 % Axioms used in derivation (11): owl_dat_dtype_decimal_type, owl_dat_dtype_relation_subtype_string_plainliteral, owl_dat_dtype_integer_type, owl_dat_dtype_relation_disjoint_plainliteral_real, owl_dat_dtype_string_type, owl_eqdis_disjointwith, owl_dat_dtype_relation_subtype_rational_real, owl_rdfsext_subclassof, owl_dat_dtype_relation_subtype_decimal_rational, owl_dat_dtype_relation_subtype_integer_decimal, owl_parts_idc_cond_set
% 5.08/3.35 % No. of inferences in proof: 26
% 5.08/3.35 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2639 ms resp. 1738 ms w/o parsing
% 5.08/3.40 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.08/3.40 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------