TSTP Solution File: SWB005+2 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWB005+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 12:38:30 EDT 2023
% Result : Theorem 0.11s 0.35s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 17
% Syntax : Number of formulae : 74 ( 21 unt; 0 def)
% Number of atoms : 177 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 164 ( 61 ~; 65 |; 24 &)
% ( 13 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 9 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 48 (; 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : ir(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [S,P,O] :
( iext(P,S,O)
=> ip(P) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [P] :
( iext(uri_rdf_type,P,uri_rdf_Property)
<=> ip(P) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X] :
( ir(X)
<=> icext(uri_rdfs_Resource,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X] :
( icext(uri_owl_Thing,X)
<=> ir(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] :
( icext(uri_owl_ObjectProperty,X)
<=> ip(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,conjecture,
( iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
& iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
~ ( iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
& iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ),
inference(negated_conjecture,[status(cth)],[f8]) ).
fof(f10,axiom,
iext(uri_ex_p,uri_ex_s,uri_ex_o),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,plain,
! [X0] : ir(X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f12,plain,
! [S,P,O] :
( ~ iext(P,S,O)
| ip(P) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f13,plain,
! [P] :
( ! [S,O] : ~ iext(P,S,O)
| ip(P) ),
inference(miniscoping,[status(esa)],[f12]) ).
fof(f14,plain,
! [X0,X1,X2] :
( ~ iext(X0,X1,X2)
| ip(X0) ),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f15,plain,
! [P] :
( ( ~ iext(uri_rdf_type,P,uri_rdf_Property)
| ip(P) )
& ( iext(uri_rdf_type,P,uri_rdf_Property)
| ~ ip(P) ) ),
inference(NNF_transformation,[status(esa)],[f3]) ).
fof(f16,plain,
( ! [P] :
( ~ iext(uri_rdf_type,P,uri_rdf_Property)
| ip(P) )
& ! [P] :
( iext(uri_rdf_type,P,uri_rdf_Property)
| ~ ip(P) ) ),
inference(miniscoping,[status(esa)],[f15]) ).
fof(f18,plain,
! [X0] :
( iext(uri_rdf_type,X0,uri_rdf_Property)
| ~ ip(X0) ),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f19,plain,
! [X,C] :
( ( ~ iext(uri_rdf_type,X,C)
| icext(C,X) )
& ( iext(uri_rdf_type,X,C)
| ~ icext(C,X) ) ),
inference(NNF_transformation,[status(esa)],[f4]) ).
fof(f20,plain,
( ! [X,C] :
( ~ iext(uri_rdf_type,X,C)
| icext(C,X) )
& ! [X,C] :
( iext(uri_rdf_type,X,C)
| ~ icext(C,X) ) ),
inference(miniscoping,[status(esa)],[f19]) ).
fof(f22,plain,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f23,plain,
! [X] :
( ( ~ ir(X)
| icext(uri_rdfs_Resource,X) )
& ( ir(X)
| ~ icext(uri_rdfs_Resource,X) ) ),
inference(NNF_transformation,[status(esa)],[f5]) ).
fof(f24,plain,
( ! [X] :
( ~ ir(X)
| icext(uri_rdfs_Resource,X) )
& ! [X] :
( ir(X)
| ~ icext(uri_rdfs_Resource,X) ) ),
inference(miniscoping,[status(esa)],[f23]) ).
fof(f25,plain,
! [X0] :
( ~ ir(X0)
| icext(uri_rdfs_Resource,X0) ),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f27,plain,
! [X] :
( ( ~ icext(uri_owl_Thing,X)
| ir(X) )
& ( icext(uri_owl_Thing,X)
| ~ ir(X) ) ),
inference(NNF_transformation,[status(esa)],[f6]) ).
fof(f28,plain,
( ! [X] :
( ~ icext(uri_owl_Thing,X)
| ir(X) )
& ! [X] :
( icext(uri_owl_Thing,X)
| ~ ir(X) ) ),
inference(miniscoping,[status(esa)],[f27]) ).
fof(f30,plain,
! [X0] :
( icext(uri_owl_Thing,X0)
| ~ ir(X0) ),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f31,plain,
! [X] :
( ( ~ icext(uri_owl_ObjectProperty,X)
| ip(X) )
& ( icext(uri_owl_ObjectProperty,X)
| ~ ip(X) ) ),
inference(NNF_transformation,[status(esa)],[f7]) ).
fof(f32,plain,
( ! [X] :
( ~ icext(uri_owl_ObjectProperty,X)
| ip(X) )
& ! [X] :
( icext(uri_owl_ObjectProperty,X)
| ~ ip(X) ) ),
inference(miniscoping,[status(esa)],[f31]) ).
fof(f34,plain,
! [X0] :
( icext(uri_owl_ObjectProperty,X0)
| ~ ip(X0) ),
inference(cnf_transformation,[status(esa)],[f32]) ).
fof(f35,plain,
( ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
| ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ),
inference(pre_NNF_transformation,[status(esa)],[f9]) ).
fof(f36,plain,
( ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
| ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ),
inference(cnf_transformation,[status(esa)],[f35]) ).
fof(f37,plain,
iext(uri_ex_p,uri_ex_s,uri_ex_o),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f38,plain,
( spl0_0
<=> iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
introduced(split_symbol_definition) ).
fof(f40,plain,
( ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
| spl0_0 ),
inference(component_clause,[status(thm)],[f38]) ).
fof(f41,plain,
( spl0_1
<=> iext(uri_rdf_type,uri_ex_s,uri_owl_Thing) ),
introduced(split_symbol_definition) ).
fof(f43,plain,
( ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
| spl0_1 ),
inference(component_clause,[status(thm)],[f41]) ).
fof(f44,plain,
( spl0_2
<=> iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource) ),
introduced(split_symbol_definition) ).
fof(f46,plain,
( ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
| spl0_2 ),
inference(component_clause,[status(thm)],[f44]) ).
fof(f47,plain,
( spl0_3
<=> iext(uri_rdf_type,uri_ex_p,uri_owl_Thing) ),
introduced(split_symbol_definition) ).
fof(f49,plain,
( ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
| spl0_3 ),
inference(component_clause,[status(thm)],[f47]) ).
fof(f50,plain,
( spl0_4
<=> iext(uri_rdf_type,uri_ex_p,uri_rdf_Property) ),
introduced(split_symbol_definition) ).
fof(f52,plain,
( ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
| spl0_4 ),
inference(component_clause,[status(thm)],[f50]) ).
fof(f53,plain,
( spl0_5
<=> iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
introduced(split_symbol_definition) ).
fof(f55,plain,
( ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
| spl0_5 ),
inference(component_clause,[status(thm)],[f53]) ).
fof(f56,plain,
( spl0_6
<=> iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource) ),
introduced(split_symbol_definition) ).
fof(f58,plain,
( ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
| spl0_6 ),
inference(component_clause,[status(thm)],[f56]) ).
fof(f59,plain,
( spl0_7
<=> iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ),
introduced(split_symbol_definition) ).
fof(f61,plain,
( ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
| spl0_7 ),
inference(component_clause,[status(thm)],[f59]) ).
fof(f62,plain,
( ~ spl0_0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f36,f38,f41,f44,f47,f50,f53,f56,f59]) ).
fof(f63,plain,
! [X0] : icext(uri_owl_Thing,X0),
inference(backward_subsumption_resolution,[status(thm)],[f30,f11]) ).
fof(f64,plain,
! [X0] : icext(uri_rdfs_Resource,X0),
inference(backward_subsumption_resolution,[status(thm)],[f25,f11]) ).
fof(f65,plain,
ip(uri_ex_p),
inference(resolution,[status(thm)],[f14,f37]) ).
fof(f66,plain,
iext(uri_rdf_type,uri_ex_p,uri_rdf_Property),
inference(resolution,[status(thm)],[f65,f18]) ).
fof(f67,plain,
icext(uri_owl_ObjectProperty,uri_ex_p),
inference(resolution,[status(thm)],[f65,f34]) ).
fof(f81,plain,
iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty),
inference(resolution,[status(thm)],[f22,f67]) ).
fof(f82,plain,
! [X0] : iext(uri_rdf_type,X0,uri_rdfs_Resource),
inference(resolution,[status(thm)],[f22,f64]) ).
fof(f83,plain,
! [X0] : iext(uri_rdf_type,X0,uri_owl_Thing),
inference(resolution,[status(thm)],[f22,f63]) ).
fof(f92,plain,
( $false
| spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f61,f83]) ).
fof(f93,plain,
spl0_7,
inference(contradiction_clause,[status(thm)],[f92]) ).
fof(f94,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f58,f82]) ).
fof(f95,plain,
spl0_6,
inference(contradiction_clause,[status(thm)],[f94]) ).
fof(f96,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f55,f81]) ).
fof(f97,plain,
spl0_5,
inference(contradiction_clause,[status(thm)],[f96]) ).
fof(f98,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f52,f66]) ).
fof(f99,plain,
spl0_4,
inference(contradiction_clause,[status(thm)],[f98]) ).
fof(f100,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f49,f83]) ).
fof(f101,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f100]) ).
fof(f102,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f46,f82]) ).
fof(f103,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f102]) ).
fof(f104,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f40,f82]) ).
fof(f105,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f104]) ).
fof(f106,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f43,f83]) ).
fof(f107,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f106]) ).
fof(f108,plain,
$false,
inference(sat_refutation,[status(thm)],[f62,f93,f95,f97,f99,f101,f103,f105,f107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWB005+2 : TPTP v8.1.2. Released v5.2.0.
% 0.06/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33 % Computer : n019.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue May 30 10:42:40 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.11/0.34 % Drodi V3.5.1
% 0.11/0.35 % Refutation found
% 0.11/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.36 % Elapsed time: 0.021325 seconds
% 0.11/0.36 % CPU time: 0.029300 seconds
% 0.11/0.36 % Memory used: 7.162 MB
%------------------------------------------------------------------------------