%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWB032+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 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 : Fri Sep 25 03:03:54 PM UTC 2026
% Result : Theorem 4.02s 1.27s
% Output : Proof 4.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 12
% Syntax : Number of formulae : 79 ( 17 unt; 0 def)
% Number of atoms : 194 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 190 ( 75 ~; 83 |; 24 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 62 ( 0 sgn 36 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [C1,C2] :
( iext(uri_owl_disjointWith,C1,C2)
<=> ( ! [X] :
~ ( icext(C2,X)
& icext(C1,X) )
& ic(C2)
& ic(C1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_disjointwith) ).
fof(f10_nnf,plain,
! [C1,C2] :
( ( ? [X] :
( icext(C2,X)
& icext(C1,X) )
| ~ ic(C2)
| ~ ic(C1)
| iext(uri_owl_disjointWith,C1,C2) )
& ( ( ! [X] :
( ~ icext(C2,X)
| ~ icext(C1,X) )
& ic(C2)
& ic(C1) )
| ~ iext(uri_owl_disjointWith,C1,C2) ) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [C1,C2,X] :
( ( ( icext(C2,sk1(C1,C2))
& icext(C1,sk1(C1,C2)) )
| ~ ic(C2)
| ~ ic(C1)
| iext(uri_owl_disjointWith,C1,C2) )
& ( ( ( ~ icext(C2,X)
| ~ icext(C1,X) )
& ic(C2)
& ic(C1) )
| ~ iext(uri_owl_disjointWith,C1,C2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk1])],[f10_nnf]) ).
cnf(c18,plain,
( icext(X1,sk1(X0,X1))
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_owl_disjointWith,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
fof(f8,axiom,
! [X] :
( idc(X)
=> ic(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_idc_cond_set) ).
fof(f8_nnf,plain,
! [X] :
( ic(X)
| ~ idc(X) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [X] :
( ic(X)
| ~ idc(X) ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
( ic(X0)
| ~ idc(X0) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
fof(f1,axiom,
idc(uri_xsd_decimal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_decimal_type) ).
fof(f1_nnf,plain,
idc(uri_xsd_decimal),
inference(nnf_transformation,[status(thm)],[f1]) ).
cnf(c1,plain,
idc(uri_xsd_decimal),
inference(cnf_transformation,[status(esa)],[f1_nnf]) ).
cnf(p21,plain,
ic(uri_xsd_decimal),
inference(resolution,[status(thm)],[c8,c1]) ).
cnf(p114,plain,
( icext(X0,sk1(uri_xsd_decimal,X0))
| ~ ic(X0)
| iext(uri_owl_disjointWith,uri_xsd_decimal,X0) ),
inference(resolution,[status(thm)],[c18,p21]) ).
fof(f0,axiom,
idc(uri_xsd_string),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_string_type) ).
fof(f0_nnf,plain,
idc(uri_xsd_string),
inference(nnf_transformation,[status(thm)],[f0]) ).
cnf(c0,plain,
idc(uri_xsd_string),
inference(cnf_transformation,[status(esa)],[f0_nnf]) ).
cnf(p20,plain,
ic(uri_xsd_string),
inference(resolution,[status(thm)],[c8,c0]) ).
cnf(p134,plain,
( icext(uri_xsd_string,sk1(uri_xsd_decimal,uri_xsd_string))
| iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string) ),
inference(resolution,[status(thm)],[p114,p20]) ).
cnf(p113,plain,
( icext(X0,sk1(uri_xsd_string,X0))
| ~ ic(X0)
| iext(uri_owl_disjointWith,uri_xsd_string,X0) ),
inference(resolution,[status(thm)],[c18,p20]) ).
cnf(p116,plain,
( icext(uri_xsd_decimal,sk1(uri_xsd_string,uri_xsd_decimal))
| iext(uri_owl_disjointWith,uri_xsd_string,uri_xsd_decimal) ),
inference(resolution,[status(thm)],[p113,p21]) ).
fof(f6,axiom,
! [X] :
( icext(uri_xsd_decimal,X)
=> icext(uri_owl_rational,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_decimal_rational) ).
fof(f6_nnf,plain,
! [X] :
( icext(uri_owl_rational,X)
| ~ icext(uri_xsd_decimal,X) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [X] :
( icext(uri_owl_rational,X)
| ~ icext(uri_xsd_decimal,X) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( icext(uri_owl_rational,X0)
| ~ icext(uri_xsd_decimal,X0) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p118,plain,
( icext(uri_owl_rational,sk1(uri_xsd_string,uri_xsd_decimal))
| iext(uri_owl_disjointWith,uri_xsd_string,uri_xsd_decimal) ),
inference(resolution,[status(thm)],[p116,c6]) ).
fof(f5,axiom,
! [X] :
( icext(uri_owl_rational,X)
=> icext(uri_owl_real,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_rational_real) ).
fof(f5_nnf,plain,
! [X] :
( icext(uri_owl_real,X)
| ~ icext(uri_owl_rational,X) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [X] :
( icext(uri_owl_real,X)
| ~ icext(uri_owl_rational,X) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( icext(uri_owl_real,X0)
| ~ icext(uri_owl_rational,X0) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p120,plain,
( icext(uri_owl_real,sk1(uri_xsd_string,uri_xsd_decimal))
| iext(uri_owl_disjointWith,uri_xsd_string,uri_xsd_decimal) ),
inference(resolution,[status(thm)],[p118,c5]) ).
cnf(c17,plain,
( icext(X0,sk1(X0,X1))
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_owl_disjointWith,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p80,plain,
( icext(uri_xsd_string,sk1(uri_xsd_string,X0))
| ~ ic(X0)
| iext(uri_owl_disjointWith,uri_xsd_string,X0) ),
inference(resolution,[status(thm)],[c17,p20]) ).
cnf(p93,plain,
( icext(uri_xsd_string,sk1(uri_xsd_string,uri_xsd_decimal))
| iext(uri_owl_disjointWith,uri_xsd_string,uri_xsd_decimal) ),
inference(resolution,[status(thm)],[p80,p21]) ).
fof(f4,axiom,
! [X] :
( icext(uri_xsd_string,X)
=> icext(uri_rdf_PlainLiteral,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_string_plainliteral) ).
fof(f4_nnf,plain,
! [X] :
( icext(uri_rdf_PlainLiteral,X)
| ~ icext(uri_xsd_string,X) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X] :
( icext(uri_rdf_PlainLiteral,X)
| ~ icext(uri_xsd_string,X) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( icext(uri_rdf_PlainLiteral,X0)
| ~ icext(uri_xsd_string,X0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p95,plain,
( icext(uri_rdf_PlainLiteral,sk1(uri_xsd_string,uri_xsd_decimal))
| iext(uri_owl_disjointWith,uri_xsd_string,uri_xsd_decimal) ),
inference(resolution,[status(thm)],[p93,c4]) ).
fof(f3,axiom,
! [X] :
~ ( icext(uri_owl_real,X)
& icext(uri_rdf_PlainLiteral,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_plainliteral_real) ).
fof(f3_nnf,plain,
! [X] :
( ~ icext(uri_owl_real,X)
| ~ icext(uri_rdf_PlainLiteral,X) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X] :
( ~ icext(uri_owl_real,X)
| ~ icext(uri_rdf_PlainLiteral,X) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( ~ icext(uri_owl_real,X0)
| ~ icext(uri_rdf_PlainLiteral,X0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p97,plain,
( ~ icext(uri_owl_real,sk1(uri_xsd_string,uri_xsd_decimal))
| iext(uri_owl_disjointWith,uri_xsd_string,uri_xsd_decimal) ),
inference(resolution,[status(thm)],[p95,c3]) ).
cnf(p122,plain,
( iext(uri_owl_disjointWith,uri_xsd_string,uri_xsd_decimal)
| iext(uri_owl_disjointWith,uri_xsd_string,uri_xsd_decimal) ),
inference(resolution,[status(thm)],[p120,p97]) ).
cnf(p123,plain,
iext(uri_owl_disjointWith,uri_xsd_string,uri_xsd_decimal),
inference(factoring,[status(thm)],[p122]) ).
cnf(c16,plain,
( ~ icext(X1,X2)
| ~ icext(X0,X2)
| ~ iext(uri_owl_disjointWith,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p124,plain,
( ~ icext(uri_xsd_decimal,X0)
| ~ icext(uri_xsd_string,X0) ),
inference(resolution,[status(thm)],[p123,c16]) ).
cnf(p137,plain,
( ~ icext(uri_xsd_decimal,sk1(uri_xsd_decimal,uri_xsd_string))
| iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string) ),
inference(resolution,[status(thm)],[p134,p124]) ).
cnf(p81,plain,
( icext(uri_xsd_decimal,sk1(uri_xsd_decimal,X0))
| ~ ic(X0)
| iext(uri_owl_disjointWith,uri_xsd_decimal,X0) ),
inference(resolution,[status(thm)],[c17,p21]) ).
cnf(p99,plain,
( icext(uri_xsd_decimal,sk1(uri_xsd_decimal,uri_xsd_string))
| iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string) ),
inference(resolution,[status(thm)],[p81,p20]) ).
cnf(p140,plain,
( iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)
| iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string) ),
inference(resolution,[status(thm)],[p137,p99]) ).
cnf(p141,plain,
iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string),
inference(factoring,[status(thm)],[p140]) ).
fof(f11,conjecture,
( iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal)
& iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_032_Datatype_Relationships) ).
fof(f11_neg,negated_conjecture,
~ ( iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal)
& iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string) ),
inference(negated_conjecture,[status(cth)],[f11]) ).
fof(f11_nnf,plain,
( ~ iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal)
| ~ iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string) ),
inference(nnf_transformation,[status(thm)],[f11_neg]) ).
fof(f11_sk,plain,
( ~ iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal)
| ~ iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string) ),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c19,plain,
( ~ iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal)
| ~ iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p142,plain,
~ iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal),
inference(resolution,[status(thm)],[p141,c19]) ).
fof(f9,axiom,
! [C1,C2] :
( iext(uri_rdfs_subClassOf,C1,C2)
<=> ( ! [X] :
( icext(C1,X)
=> icext(C2,X) )
& ic(C2)
& ic(C1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).
fof(f9_nnf,plain,
! [C1,C2] :
( ( ? [X] :
( ~ icext(C2,X)
& icext(C1,X) )
| ~ ic(C2)
| ~ ic(C1)
| iext(uri_rdfs_subClassOf,C1,C2) )
& ( ( ! [X] :
( icext(C2,X)
| ~ icext(C1,X) )
& ic(C2)
& ic(C1) )
| ~ iext(uri_rdfs_subClassOf,C1,C2) ) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [C1,C2,X] :
( ( ( ~ icext(C2,sk0(C1,C2))
& icext(C1,sk0(C1,C2)) )
| ~ ic(C2)
| ~ ic(C1)
| iext(uri_rdfs_subClassOf,C1,C2) )
& ( ( ( icext(C2,X)
| ~ icext(C1,X) )
& ic(C2)
& ic(C1) )
| ~ iext(uri_rdfs_subClassOf,C1,C2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f9_nnf]) ).
cnf(c13,plain,
( ~ icext(X1,sk0(X0,X1))
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
fof(f2,axiom,
idc(uri_xsd_integer),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_integer_type) ).
fof(f2_nnf,plain,
idc(uri_xsd_integer),
inference(nnf_transformation,[status(thm)],[f2]) ).
cnf(c2,plain,
idc(uri_xsd_integer),
inference(cnf_transformation,[status(esa)],[f2_nnf]) ).
cnf(p22,plain,
ic(uri_xsd_integer),
inference(resolution,[status(thm)],[c8,c2]) ).
cnf(p61,plain,
( ~ icext(X0,sk0(uri_xsd_integer,X0))
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,uri_xsd_integer,X0) ),
inference(resolution,[status(thm)],[c13,p22]) ).
cnf(p76,plain,
( ~ icext(uri_xsd_decimal,sk0(uri_xsd_integer,uri_xsd_decimal))
| iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
inference(resolution,[status(thm)],[p61,p21]) ).
cnf(c12,plain,
( icext(X0,sk0(X0,X1))
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p27,plain,
( icext(uri_xsd_integer,sk0(uri_xsd_integer,X0))
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,uri_xsd_integer,X0) ),
inference(resolution,[status(thm)],[c12,p22]) ).
cnf(p51,plain,
( icext(uri_xsd_integer,sk0(uri_xsd_integer,uri_xsd_decimal))
| iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
inference(resolution,[status(thm)],[p27,p21]) ).
fof(f7,axiom,
! [X] :
( icext(uri_xsd_integer,X)
=> icext(uri_xsd_decimal,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_integer_decimal) ).
fof(f7_nnf,plain,
! [X] :
( icext(uri_xsd_decimal,X)
| ~ icext(uri_xsd_integer,X) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [X] :
( icext(uri_xsd_decimal,X)
| ~ icext(uri_xsd_integer,X) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
( icext(uri_xsd_decimal,X0)
| ~ icext(uri_xsd_integer,X0) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p53,plain,
( icext(uri_xsd_decimal,sk0(uri_xsd_integer,uri_xsd_decimal))
| iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
inference(resolution,[status(thm)],[p51,c7]) ).
cnf(p77,plain,
( iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal)
| iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
inference(resolution,[status(thm)],[p76,p53]) ).
cnf(p78,plain,
iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal),
inference(factoring,[status(thm)],[p77]) ).
cnf(p143,plain,
$false,
inference(resolution,[status(thm)],[p142,p78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB032+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n014.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 15:38:03 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.02/1.27 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.02/1.27 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------