TSTP Solution File: SWB032+2 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SWB032+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n009.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 12:08:09 EDT 2023
% Result : Theorem 2.97s 1.87s
% Output : Refutation 3.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 24
% Syntax : Number of formulae : 38 ( 7 unt; 12 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 : 7 ( 7 >; 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_type,type,
iext: $i > $i > $i > $o ).
thf(uri_owl_disjointWith_type,type,
uri_owl_disjointWith: $i ).
thf(uri_xsd_decimal_type,type,
uri_xsd_decimal: $i ).
thf(uri_xsd_string_type,type,
uri_xsd_string: $i ).
thf(uri_rdfs_subClassOf_type,type,
uri_rdfs_subClassOf: $i ).
thf(uri_xsd_integer_type,type,
uri_xsd_integer: $i ).
thf(idc_type,type,
idc: $i > $o ).
thf(icext_type,type,
icext: $i > $i > $o ).
thf(uri_rdf_PlainLiteral_type,type,
uri_rdf_PlainLiteral: $i ).
thf(uri_owl_real_type,type,
uri_owl_real: $i ).
thf(uri_owl_rational_type,type,
uri_owl_rational: $i ).
thf(ic_type,type,
ic: $i > $o ).
thf(8,axiom,
! [A: $i] :
( ( icext @ uri_owl_rational @ A )
=> ( icext @ uri_owl_real @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_rational_real) ).
thf(24,plain,
! [A: $i] :
( ( icext @ uri_owl_rational @ A )
=> ( icext @ uri_owl_real @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(1,conjecture,
( ( iext @ uri_owl_disjointWith @ uri_xsd_decimal @ uri_xsd_string )
& ( iext @ uri_rdfs_subClassOf @ uri_xsd_integer @ uri_xsd_decimal ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_032_Datatype_Relationships) ).
thf(2,negated_conjecture,
~ ( ( iext @ uri_owl_disjointWith @ uri_xsd_decimal @ uri_xsd_string )
& ( iext @ uri_rdfs_subClassOf @ uri_xsd_integer @ uri_xsd_decimal ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(14,plain,
~ ( ( iext @ uri_owl_disjointWith @ uri_xsd_decimal @ uri_xsd_string )
& ( iext @ uri_rdfs_subClassOf @ uri_xsd_integer @ uri_xsd_decimal ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(10,axiom,
! [A: $i] :
( ( icext @ uri_xsd_integer @ A )
=> ( icext @ uri_xsd_decimal @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_integer_decimal) ).
thf(28,plain,
! [A: $i] :
( ( icext @ uri_xsd_integer @ A )
=> ( icext @ uri_xsd_decimal @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(13,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_disjointWith @ A @ B )
<=> ( ( ic @ A )
& ( ic @ B )
& ! [C: $i] :
~ ( ( icext @ A @ C )
& ( icext @ B @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_disjointwith) ).
thf(41,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_owl_disjointWith @ A @ B )
=> ( ( ic @ A )
& ( ic @ B )
& ! [C: $i] :
~ ( ( icext @ A @ C )
& ( icext @ B @ C ) ) ) )
& ( ( ( ic @ A )
& ( ic @ B )
& ! [C: $i] :
~ ( ( icext @ A @ C )
& ( icext @ B @ C ) ) )
=> ( iext @ uri_owl_disjointWith @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(7,axiom,
! [A: $i] :
( ( icext @ uri_xsd_string @ A )
=> ( icext @ uri_rdf_PlainLiteral @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_string_plainliteral) ).
thf(22,plain,
! [A: $i] :
( ( icext @ uri_xsd_string @ A )
=> ( icext @ uri_rdf_PlainLiteral @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(5,axiom,
idc @ uri_xsd_integer,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_dat_dtype_integer_type) ).
thf(18,plain,
idc @ uri_xsd_integer,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(3,axiom,
idc @ uri_xsd_string,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_dat_dtype_string_type) ).
thf(16,plain,
idc @ uri_xsd_string,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(9,axiom,
! [A: $i] :
( ( icext @ uri_xsd_decimal @ A )
=> ( icext @ uri_owl_rational @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_decimal_rational) ).
thf(26,plain,
! [A: $i] :
( ( icext @ uri_xsd_decimal @ A )
=> ( icext @ uri_owl_rational @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(12,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_rdfs_subClassOf @ A @ B )
<=> ( ( ic @ A )
& ( ic @ B )
& ! [C: $i] :
( ( icext @ A @ C )
=> ( icext @ B @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).
thf(32,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_rdfs_subClassOf @ A @ B )
=> ( ( ic @ A )
& ( ic @ B )
& ! [C: $i] :
( ( icext @ A @ C )
=> ( icext @ B @ C ) ) ) )
& ( ( ( ic @ A )
& ( ic @ B )
& ! [C: $i] :
( ( icext @ A @ C )
=> ( icext @ B @ C ) ) )
=> ( iext @ uri_rdfs_subClassOf @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(4,axiom,
idc @ uri_xsd_decimal,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_dat_dtype_decimal_type) ).
thf(17,plain,
idc @ uri_xsd_decimal,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(11,axiom,
! [A: $i] :
( ( idc @ A )
=> ( ic @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_idc_cond_set) ).
thf(30,plain,
! [A: $i] :
( ( idc @ A )
=> ( ic @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(6,axiom,
! [A: $i] :
~ ( ( icext @ uri_rdf_PlainLiteral @ A )
& ( icext @ uri_owl_real @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_plainliteral_real) ).
thf(19,plain,
! [A: $i] :
~ ( ( icext @ uri_rdf_PlainLiteral @ A )
& ( icext @ uri_owl_real @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(50,plain,
$false,
inference(e,[status(thm)],[24,14,28,41,22,18,16,26,32,17,30,19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWB032+2 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.16 % Command : run_Leo-III %s %d
% 0.14/0.38 % Computer : n009.cluster.edu
% 0.14/0.38 % Model : x86_64 x86_64
% 0.14/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38 % Memory : 8042.1875MB
% 0.14/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.38 % CPULimit : 300
% 0.14/0.38 % WCLimit : 300
% 0.14/0.38 % DateTime : Thu May 18 20:48:18 EDT 2023
% 0.14/0.38 % CPUTime :
% 0.99/0.96 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.26/1.08 % [INFO] Parsing done (120ms).
% 1.26/1.09 % [INFO] Running in sequential loop mode.
% 1.58/1.33 % [INFO] eprover registered as external prover.
% 1.58/1.34 % [INFO] cvc4 registered as external prover.
% 1.75/1.34 % [INFO] Scanning for conjecture ...
% 1.85/1.39 % [INFO] Found a conjecture and 11 axioms. Running axiom selection ...
% 1.85/1.42 % [INFO] Axiom selection finished. Selected 11 axioms (removed 0 axioms).
% 2.01/1.44 % [INFO] Problem is first-order (TPTP FOF).
% 2.01/1.44 % [INFO] Type checking passed.
% 2.01/1.45 % [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 ...
% 2.97/1.87 % External prover 'e' found a proof!
% 2.97/1.87 % [INFO] Killing All external provers ...
% 2.97/1.87 % Time passed: 1315ms (effective reasoning time: 777ms)
% 2.97/1.87 % 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)>
% 2.97/1.87 % 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
% 2.97/1.87 % No. of inferences in proof: 26
% 2.97/1.87 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1315 ms resp. 777 ms w/o parsing
% 3.13/1.95 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.13/1.95 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------