TSTP Solution File: SWB032+2 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWB032+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n021.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 : Wed May 31 12:38:41 EDT 2023
% Result : Theorem 0.07s 0.28s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 20
% Syntax : Number of formulae : 84 ( 10 unt; 0 def)
% Number of atoms : 243 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 264 ( 105 ~; 105 |; 36 &)
% ( 12 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 9 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 68 (; 64 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
idc(uri_xsd_string),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
idc(uri_xsd_decimal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
idc(uri_xsd_integer),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] :
~ ( icext(uri_rdf_PlainLiteral,X)
& icext(uri_owl_real,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X] :
( icext(uri_xsd_string,X)
=> icext(uri_rdf_PlainLiteral,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X] :
( icext(uri_owl_rational,X)
=> icext(uri_owl_real,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] :
( icext(uri_xsd_decimal,X)
=> icext(uri_owl_rational,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X] :
( icext(uri_xsd_integer,X)
=> icext(uri_xsd_decimal,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X] :
( idc(X)
=> ic(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [C1,C2] :
( iext(uri_rdfs_subClassOf,C1,C2)
<=> ( ic(C1)
& ic(C2)
& ! [X] :
( icext(C1,X)
=> icext(C2,X) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [C1,C2] :
( iext(uri_owl_disjointWith,C1,C2)
<=> ( ic(C1)
& ic(C2)
& ! [X] :
~ ( icext(C1,X)
& icext(C2,X) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,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') ).
fof(f13,negated_conjecture,
~ ( iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)
& iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
inference(negated_conjecture,[status(cth)],[f12]) ).
fof(f14,plain,
idc(uri_xsd_string),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f15,plain,
idc(uri_xsd_decimal),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f16,plain,
idc(uri_xsd_integer),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f17,plain,
! [X] :
( ~ icext(uri_rdf_PlainLiteral,X)
| ~ icext(uri_owl_real,X) ),
inference(pre_NNF_transformation,[status(esa)],[f4]) ).
fof(f18,plain,
! [X0] :
( ~ icext(uri_rdf_PlainLiteral,X0)
| ~ icext(uri_owl_real,X0) ),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f19,plain,
! [X] :
( ~ icext(uri_xsd_string,X)
| icext(uri_rdf_PlainLiteral,X) ),
inference(pre_NNF_transformation,[status(esa)],[f5]) ).
fof(f20,plain,
! [X0] :
( ~ icext(uri_xsd_string,X0)
| icext(uri_rdf_PlainLiteral,X0) ),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f21,plain,
! [X] :
( ~ icext(uri_owl_rational,X)
| icext(uri_owl_real,X) ),
inference(pre_NNF_transformation,[status(esa)],[f6]) ).
fof(f22,plain,
! [X0] :
( ~ icext(uri_owl_rational,X0)
| icext(uri_owl_real,X0) ),
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f23,plain,
! [X] :
( ~ icext(uri_xsd_decimal,X)
| icext(uri_owl_rational,X) ),
inference(pre_NNF_transformation,[status(esa)],[f7]) ).
fof(f24,plain,
! [X0] :
( ~ icext(uri_xsd_decimal,X0)
| icext(uri_owl_rational,X0) ),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f25,plain,
! [X] :
( ~ icext(uri_xsd_integer,X)
| icext(uri_xsd_decimal,X) ),
inference(pre_NNF_transformation,[status(esa)],[f8]) ).
fof(f26,plain,
! [X0] :
( ~ icext(uri_xsd_integer,X0)
| icext(uri_xsd_decimal,X0) ),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f27,plain,
! [X] :
( ~ idc(X)
| ic(X) ),
inference(pre_NNF_transformation,[status(esa)],[f9]) ).
fof(f28,plain,
! [X0] :
( ~ idc(X0)
| ic(X0) ),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f29,plain,
! [C1,C2] :
( iext(uri_rdfs_subClassOf,C1,C2)
<=> ( ic(C1)
& ic(C2)
& ! [X] :
( ~ icext(C1,X)
| icext(C2,X) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f10]) ).
fof(f30,plain,
! [C1,C2] :
( ( ~ iext(uri_rdfs_subClassOf,C1,C2)
| ( ic(C1)
& ic(C2)
& ! [X] :
( ~ icext(C1,X)
| icext(C2,X) ) ) )
& ( iext(uri_rdfs_subClassOf,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ? [X] :
( icext(C1,X)
& ~ icext(C2,X) ) ) ),
inference(NNF_transformation,[status(esa)],[f29]) ).
fof(f31,plain,
( ! [C1,C2] :
( ~ iext(uri_rdfs_subClassOf,C1,C2)
| ( ic(C1)
& ic(C2)
& ! [X] :
( ~ icext(C1,X)
| icext(C2,X) ) ) )
& ! [C1,C2] :
( iext(uri_rdfs_subClassOf,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ? [X] :
( icext(C1,X)
& ~ icext(C2,X) ) ) ),
inference(miniscoping,[status(esa)],[f30]) ).
fof(f32,plain,
( ! [C1,C2] :
( ~ iext(uri_rdfs_subClassOf,C1,C2)
| ( ic(C1)
& ic(C2)
& ! [X] :
( ~ icext(C1,X)
| icext(C2,X) ) ) )
& ! [C1,C2] :
( iext(uri_rdfs_subClassOf,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ( icext(C1,sk0_0(C2,C1))
& ~ icext(C2,sk0_0(C2,C1)) ) ) ),
inference(skolemization,[status(esa)],[f31]) ).
fof(f36,plain,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| icext(X0,sk0_0(X1,X0)) ),
inference(cnf_transformation,[status(esa)],[f32]) ).
fof(f37,plain,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ~ icext(X1,sk0_0(X1,X0)) ),
inference(cnf_transformation,[status(esa)],[f32]) ).
fof(f38,plain,
! [C1,C2] :
( iext(uri_owl_disjointWith,C1,C2)
<=> ( ic(C1)
& ic(C2)
& ! [X] :
( ~ icext(C1,X)
| ~ icext(C2,X) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f11]) ).
fof(f39,plain,
! [C1,C2] :
( ( ~ iext(uri_owl_disjointWith,C1,C2)
| ( ic(C1)
& ic(C2)
& ! [X] :
( ~ icext(C1,X)
| ~ icext(C2,X) ) ) )
& ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ? [X] :
( icext(C1,X)
& icext(C2,X) ) ) ),
inference(NNF_transformation,[status(esa)],[f38]) ).
fof(f40,plain,
( ! [C1,C2] :
( ~ iext(uri_owl_disjointWith,C1,C2)
| ( ic(C1)
& ic(C2)
& ! [X] :
( ~ icext(C1,X)
| ~ icext(C2,X) ) ) )
& ! [C1,C2] :
( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ? [X] :
( icext(C1,X)
& icext(C2,X) ) ) ),
inference(miniscoping,[status(esa)],[f39]) ).
fof(f41,plain,
( ! [C1,C2] :
( ~ iext(uri_owl_disjointWith,C1,C2)
| ( ic(C1)
& ic(C2)
& ! [X] :
( ~ icext(C1,X)
| ~ icext(C2,X) ) ) )
& ! [C1,C2] :
( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ( icext(C1,sk0_1(C2,C1))
& icext(C2,sk0_1(C2,C1)) ) ) ),
inference(skolemization,[status(esa)],[f40]) ).
fof(f45,plain,
! [X0,X1] :
( iext(uri_owl_disjointWith,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| icext(X0,sk0_1(X1,X0)) ),
inference(cnf_transformation,[status(esa)],[f41]) ).
fof(f46,plain,
! [X0,X1] :
( iext(uri_owl_disjointWith,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| icext(X1,sk0_1(X1,X0)) ),
inference(cnf_transformation,[status(esa)],[f41]) ).
fof(f47,plain,
( ~ iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)
| ~ iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
inference(pre_NNF_transformation,[status(esa)],[f13]) ).
fof(f48,plain,
( ~ iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)
| ~ iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
inference(cnf_transformation,[status(esa)],[f47]) ).
fof(f49,plain,
( spl0_0
<=> iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string) ),
introduced(split_symbol_definition) ).
fof(f51,plain,
( ~ iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)
| spl0_0 ),
inference(component_clause,[status(thm)],[f49]) ).
fof(f52,plain,
( spl0_1
<=> iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
introduced(split_symbol_definition) ).
fof(f54,plain,
( ~ iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal)
| spl0_1 ),
inference(component_clause,[status(thm)],[f52]) ).
fof(f55,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f48,f49,f52]) ).
fof(f82,plain,
( spl0_7
<=> ic(uri_xsd_decimal) ),
introduced(split_symbol_definition) ).
fof(f84,plain,
( ~ ic(uri_xsd_decimal)
| spl0_7 ),
inference(component_clause,[status(thm)],[f82]) ).
fof(f85,plain,
( spl0_8
<=> ic(uri_xsd_string) ),
introduced(split_symbol_definition) ).
fof(f87,plain,
( ~ ic(uri_xsd_string)
| spl0_8 ),
inference(component_clause,[status(thm)],[f85]) ).
fof(f88,plain,
( spl0_9
<=> icext(uri_xsd_string,sk0_1(uri_xsd_string,uri_xsd_decimal)) ),
introduced(split_symbol_definition) ).
fof(f89,plain,
( icext(uri_xsd_string,sk0_1(uri_xsd_string,uri_xsd_decimal))
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f88]) ).
fof(f91,plain,
( ~ ic(uri_xsd_decimal)
| ~ ic(uri_xsd_string)
| icext(uri_xsd_string,sk0_1(uri_xsd_string,uri_xsd_decimal))
| spl0_0 ),
inference(resolution,[status(thm)],[f51,f46]) ).
fof(f92,plain,
( ~ spl0_7
| ~ spl0_8
| spl0_9
| spl0_0 ),
inference(split_clause,[status(thm)],[f91,f82,f85,f88,f49]) ).
fof(f93,plain,
( spl0_10
<=> icext(uri_xsd_decimal,sk0_1(uri_xsd_string,uri_xsd_decimal)) ),
introduced(split_symbol_definition) ).
fof(f94,plain,
( icext(uri_xsd_decimal,sk0_1(uri_xsd_string,uri_xsd_decimal))
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f93]) ).
fof(f96,plain,
( ~ ic(uri_xsd_decimal)
| ~ ic(uri_xsd_string)
| icext(uri_xsd_decimal,sk0_1(uri_xsd_string,uri_xsd_decimal))
| spl0_0 ),
inference(resolution,[status(thm)],[f51,f45]) ).
fof(f97,plain,
( ~ spl0_7
| ~ spl0_8
| spl0_10
| spl0_0 ),
inference(split_clause,[status(thm)],[f96,f82,f85,f93,f49]) ).
fof(f98,plain,
( ~ idc(uri_xsd_string)
| spl0_8 ),
inference(resolution,[status(thm)],[f87,f28]) ).
fof(f99,plain,
( $false
| spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f98,f14]) ).
fof(f100,plain,
spl0_8,
inference(contradiction_clause,[status(thm)],[f99]) ).
fof(f101,plain,
( ~ idc(uri_xsd_decimal)
| spl0_7 ),
inference(resolution,[status(thm)],[f84,f28]) ).
fof(f102,plain,
( $false
| spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f101,f15]) ).
fof(f103,plain,
spl0_7,
inference(contradiction_clause,[status(thm)],[f102]) ).
fof(f104,plain,
( spl0_11
<=> ic(uri_xsd_integer) ),
introduced(split_symbol_definition) ).
fof(f106,plain,
( ~ ic(uri_xsd_integer)
| spl0_11 ),
inference(component_clause,[status(thm)],[f104]) ).
fof(f107,plain,
( spl0_12
<=> icext(uri_xsd_integer,sk0_0(uri_xsd_decimal,uri_xsd_integer)) ),
introduced(split_symbol_definition) ).
fof(f108,plain,
( icext(uri_xsd_integer,sk0_0(uri_xsd_decimal,uri_xsd_integer))
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f107]) ).
fof(f110,plain,
( ~ ic(uri_xsd_integer)
| ~ ic(uri_xsd_decimal)
| icext(uri_xsd_integer,sk0_0(uri_xsd_decimal,uri_xsd_integer))
| spl0_1 ),
inference(resolution,[status(thm)],[f54,f36]) ).
fof(f111,plain,
( ~ spl0_11
| ~ spl0_7
| spl0_12
| spl0_1 ),
inference(split_clause,[status(thm)],[f110,f104,f82,f107,f52]) ).
fof(f112,plain,
( ~ idc(uri_xsd_integer)
| spl0_11 ),
inference(resolution,[status(thm)],[f106,f28]) ).
fof(f113,plain,
( $false
| spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f112,f16]) ).
fof(f114,plain,
spl0_11,
inference(contradiction_clause,[status(thm)],[f113]) ).
fof(f134,plain,
( icext(uri_owl_rational,sk0_1(uri_xsd_string,uri_xsd_decimal))
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f94,f24]) ).
fof(f150,plain,
( icext(uri_xsd_decimal,sk0_0(uri_xsd_decimal,uri_xsd_integer))
| ~ spl0_12 ),
inference(resolution,[status(thm)],[f108,f26]) ).
fof(f195,plain,
( icext(uri_owl_real,sk0_1(uri_xsd_string,uri_xsd_decimal))
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f134,f22]) ).
fof(f310,plain,
( iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal)
| ~ ic(uri_xsd_integer)
| ~ ic(uri_xsd_decimal)
| ~ spl0_12 ),
inference(resolution,[status(thm)],[f150,f37]) ).
fof(f311,plain,
( spl0_1
| ~ spl0_11
| ~ spl0_7
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f310,f52,f104,f82,f107]) ).
fof(f381,plain,
( ~ icext(uri_rdf_PlainLiteral,sk0_1(uri_xsd_string,uri_xsd_decimal))
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f195,f18]) ).
fof(f492,plain,
( ~ icext(uri_xsd_string,sk0_1(uri_xsd_string,uri_xsd_decimal))
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f381,f20]) ).
fof(f493,plain,
( $false
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f492,f89]) ).
fof(f494,plain,
( ~ spl0_9
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f493]) ).
fof(f495,plain,
$false,
inference(sat_refutation,[status(thm)],[f55,f92,f97,f100,f103,f111,f114,f311,f494]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07 % Problem : SWB032+2 : TPTP v8.1.2. Released v5.2.0.
% 0.02/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.27 % Computer : n021.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 300
% 0.07/0.27 % DateTime : Tue May 30 10:40:37 EDT 2023
% 0.07/0.27 % CPUTime :
% 0.07/0.27 % Drodi V3.5.1
% 0.07/0.28 % Refutation found
% 0.07/0.28 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.07/0.28 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.49 % Elapsed time: 0.009366 seconds
% 0.11/0.49 % CPU time: 0.035721 seconds
% 0.11/0.49 % Memory used: 2.322 MB
%------------------------------------------------------------------------------