TSTP Solution File: SWB009+2 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWB009+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 12:38:32 EDT 2023
% Result : Theorem 0.13s 0.35s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 37 ( 7 unt; 0 def)
% Number of atoms : 116 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 136 ( 57 ~; 50 |; 23 &)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-4 aty)
% Number of variables : 60 (; 53 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [Z,P,C] :
( ( iext(uri_owl_someValuesFrom,Z,C)
& iext(uri_owl_onProperty,Z,P) )
=> ! [X] :
( icext(Z,X)
<=> ? [Y] :
( iext(P,X,Y)
& icext(C,Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,conjecture,
? [BNODE_x] :
( iext(uri_ex_p,uri_ex_s,BNODE_x)
& iext(uri_rdf_type,BNODE_x,uri_ex_c) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
~ ? [BNODE_x] :
( iext(uri_ex_p,uri_ex_s,BNODE_x)
& iext(uri_rdf_type,BNODE_x,uri_ex_c) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,axiom,
? [BNODE_z] :
( iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_s,BNODE_z)
& iext(uri_rdf_type,BNODE_z,uri_owl_Restriction)
& iext(uri_owl_onProperty,BNODE_z,uri_ex_p)
& iext(uri_owl_someValuesFrom,BNODE_z,uri_ex_c) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,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)],[f1]) ).
fof(f7,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)],[f6]) ).
fof(f8,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f9,plain,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f10,plain,
! [Z,P,C] :
( ~ iext(uri_owl_someValuesFrom,Z,C)
| ~ iext(uri_owl_onProperty,Z,P)
| ! [X] :
( icext(Z,X)
<=> ? [Y] :
( iext(P,X,Y)
& icext(C,Y) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f11,plain,
! [Z,P,C] :
( ~ iext(uri_owl_someValuesFrom,Z,C)
| ~ iext(uri_owl_onProperty,Z,P)
| ! [X] :
( ( ~ icext(Z,X)
| ? [Y] :
( iext(P,X,Y)
& icext(C,Y) ) )
& ( icext(Z,X)
| ! [Y] :
( ~ iext(P,X,Y)
| ~ icext(C,Y) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f10]) ).
fof(f12,plain,
! [Z,P,C] :
( ~ iext(uri_owl_someValuesFrom,Z,C)
| ~ iext(uri_owl_onProperty,Z,P)
| ( ! [X] :
( ~ icext(Z,X)
| ? [Y] :
( iext(P,X,Y)
& icext(C,Y) ) )
& ! [X] :
( icext(Z,X)
| ! [Y] :
( ~ iext(P,X,Y)
| ~ icext(C,Y) ) ) ) ),
inference(miniscoping,[status(esa)],[f11]) ).
fof(f13,plain,
! [Z,P,C] :
( ~ iext(uri_owl_someValuesFrom,Z,C)
| ~ iext(uri_owl_onProperty,Z,P)
| ( ! [X] :
( ~ icext(Z,X)
| ( iext(P,X,sk0_0(X,C,P,Z))
& icext(C,sk0_0(X,C,P,Z)) ) )
& ! [X] :
( icext(Z,X)
| ! [Y] :
( ~ iext(P,X,Y)
| ~ icext(C,Y) ) ) ) ),
inference(skolemization,[status(esa)],[f12]) ).
fof(f14,plain,
! [X0,X1,X2,X3] :
( ~ iext(uri_owl_someValuesFrom,X0,X1)
| ~ iext(uri_owl_onProperty,X0,X2)
| ~ icext(X0,X3)
| iext(X2,X3,sk0_0(X3,X1,X2,X0)) ),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f15,plain,
! [X0,X1,X2,X3] :
( ~ iext(uri_owl_someValuesFrom,X0,X1)
| ~ iext(uri_owl_onProperty,X0,X2)
| ~ icext(X0,X3)
| icext(X1,sk0_0(X3,X1,X2,X0)) ),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f17,plain,
! [BNODE_x] :
( ~ iext(uri_ex_p,uri_ex_s,BNODE_x)
| ~ iext(uri_rdf_type,BNODE_x,uri_ex_c) ),
inference(pre_NNF_transformation,[status(esa)],[f4]) ).
fof(f18,plain,
! [X0] :
( ~ iext(uri_ex_p,uri_ex_s,X0)
| ~ iext(uri_rdf_type,X0,uri_ex_c) ),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f19,plain,
( iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_s,sk0_1)
& iext(uri_rdf_type,sk0_1,uri_owl_Restriction)
& iext(uri_owl_onProperty,sk0_1,uri_ex_p)
& iext(uri_owl_someValuesFrom,sk0_1,uri_ex_c) ),
inference(skolemization,[status(esa)],[f5]) ).
fof(f22,plain,
iext(uri_rdf_type,uri_ex_s,sk0_1),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f24,plain,
iext(uri_owl_onProperty,sk0_1,uri_ex_p),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f25,plain,
iext(uri_owl_someValuesFrom,sk0_1,uri_ex_c),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f26,plain,
icext(sk0_1,uri_ex_s),
inference(resolution,[status(thm)],[f8,f22]) ).
fof(f33,plain,
! [X0,X1] :
( ~ iext(uri_owl_someValuesFrom,X0,X1)
| ~ iext(uri_owl_onProperty,X0,uri_ex_p)
| ~ icext(X0,uri_ex_s)
| ~ iext(uri_rdf_type,sk0_0(uri_ex_s,X1,uri_ex_p,X0),uri_ex_c) ),
inference(resolution,[status(thm)],[f14,f18]) ).
fof(f35,plain,
! [X0,X1] :
( ~ iext(uri_owl_someValuesFrom,X0,X1)
| ~ iext(uri_owl_onProperty,X0,uri_ex_p)
| ~ icext(X0,uri_ex_s)
| ~ icext(uri_ex_c,sk0_0(uri_ex_s,X1,uri_ex_p,X0)) ),
inference(resolution,[status(thm)],[f33,f9]) ).
fof(f36,plain,
! [X0] :
( ~ iext(uri_owl_someValuesFrom,X0,uri_ex_c)
| ~ iext(uri_owl_onProperty,X0,uri_ex_p)
| ~ icext(X0,uri_ex_s)
| ~ iext(uri_owl_someValuesFrom,X0,uri_ex_c)
| ~ iext(uri_owl_onProperty,X0,uri_ex_p)
| ~ icext(X0,uri_ex_s) ),
inference(resolution,[status(thm)],[f35,f15]) ).
fof(f37,plain,
! [X0] :
( ~ iext(uri_owl_someValuesFrom,X0,uri_ex_c)
| ~ iext(uri_owl_onProperty,X0,uri_ex_p)
| ~ icext(X0,uri_ex_s) ),
inference(duplicate_literals_removal,[status(esa)],[f36]) ).
fof(f38,plain,
( spl0_0
<=> iext(uri_owl_someValuesFrom,sk0_1,uri_ex_c) ),
introduced(split_symbol_definition) ).
fof(f40,plain,
( ~ iext(uri_owl_someValuesFrom,sk0_1,uri_ex_c)
| spl0_0 ),
inference(component_clause,[status(thm)],[f38]) ).
fof(f41,plain,
( spl0_1
<=> icext(sk0_1,uri_ex_s) ),
introduced(split_symbol_definition) ).
fof(f43,plain,
( ~ icext(sk0_1,uri_ex_s)
| spl0_1 ),
inference(component_clause,[status(thm)],[f41]) ).
fof(f44,plain,
( ~ iext(uri_owl_someValuesFrom,sk0_1,uri_ex_c)
| ~ icext(sk0_1,uri_ex_s) ),
inference(resolution,[status(thm)],[f37,f24]) ).
fof(f45,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f44,f38,f41]) ).
fof(f46,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f40,f25]) ).
fof(f47,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f46]) ).
fof(f48,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f43,f26]) ).
fof(f49,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f48]) ).
fof(f50,plain,
$false,
inference(sat_refutation,[status(thm)],[f45,f47,f49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWB009+2 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue May 30 10:58:13 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % Drodi V3.5.1
% 0.13/0.35 % Refutation found
% 0.13/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.58 % Elapsed time: 0.017470 seconds
% 0.20/0.58 % CPU time: 0.021121 seconds
% 0.20/0.58 % Memory used: 1.820 MB
%------------------------------------------------------------------------------