TSTP Solution File: SWB026+2 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWB026+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 12:38:39 EDT 2023
% Result : Theorem 0.08s 0.30s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 75 ( 15 unt; 0 def)
% Number of atoms : 254 ( 33 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 278 ( 99 ~; 107 |; 56 &)
% ( 13 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 6 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 16 con; 0-3 aty)
% Number of variables : 110 (; 94 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [P] :
( iext(uri_rdf_type,P,uri_rdf_Property)
<=> ip(P) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [P,C,X,Y] :
( ( iext(uri_rdfs_domain,P,C)
& iext(P,X,Y) )
=> icext(C,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [Z,S1,A1] :
( ( iext(uri_rdf_first,S1,A1)
& iext(uri_rdf_rest,S1,uri_rdf_nil) )
=> ( iext(uri_owl_oneOf,Z,S1)
<=> ( ic(Z)
& ! [X] :
( icext(Z,X)
<=> X = A1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [P] :
( icext(uri_owl_InverseFunctionalProperty,P)
<=> ( ip(P)
& ! [X1,X2,Y] :
( ( iext(P,X1,Y)
& iext(P,X2,Y) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,conjecture,
iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,axiom,
? [BNODE_x1,BNODE_x2,BNODE_l1,BNODE_l2] :
( iext(uri_rdfs_domain,uri_ex_p,BNODE_x1)
& iext(uri_owl_oneOf,BNODE_x1,BNODE_l1)
& iext(uri_rdf_first,BNODE_l1,uri_ex_w)
& iext(uri_rdf_rest,BNODE_l1,uri_rdf_nil)
& iext(uri_rdfs_range,uri_ex_p,BNODE_x2)
& iext(uri_owl_oneOf,BNODE_x2,BNODE_l2)
& iext(uri_rdf_first,BNODE_l2,uri_ex_u)
& iext(uri_rdf_rest,BNODE_l2,uri_rdf_nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,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)],[f1]) ).
fof(f11,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)],[f10]) ).
fof(f12,plain,
! [X0] :
( ~ iext(uri_rdf_type,X0,uri_rdf_Property)
| ip(X0) ),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f14,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)],[f2]) ).
fof(f15,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)],[f14]) ).
fof(f17,plain,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f18,plain,
! [P,C,X,Y] :
( ~ iext(uri_rdfs_domain,P,C)
| ~ iext(P,X,Y)
| icext(C,X) ),
inference(pre_NNF_transformation,[status(esa)],[f3]) ).
fof(f19,plain,
! [C,X] :
( ! [P] :
( ~ iext(uri_rdfs_domain,P,C)
| ! [Y] : ~ iext(P,X,Y) )
| icext(C,X) ),
inference(miniscoping,[status(esa)],[f18]) ).
fof(f20,plain,
! [X0,X1,X2,X3] :
( ~ iext(uri_rdfs_domain,X0,X1)
| ~ iext(X0,X2,X3)
| icext(X1,X2) ),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f21,plain,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f22,plain,
! [Z,S1,A1] :
( ~ iext(uri_rdf_first,S1,A1)
| ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
| ( iext(uri_owl_oneOf,Z,S1)
<=> ( ic(Z)
& ! [X] :
( icext(Z,X)
<=> X = A1 ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f5]) ).
fof(f23,plain,
! [Z,S1,A1] :
( ~ iext(uri_rdf_first,S1,A1)
| ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
| ( ( ~ iext(uri_owl_oneOf,Z,S1)
| ( ic(Z)
& ! [X] :
( ( ~ icext(Z,X)
| X = A1 )
& ( icext(Z,X)
| X != A1 ) ) ) )
& ( iext(uri_owl_oneOf,Z,S1)
| ~ ic(Z)
| ? [X] :
( ( ~ icext(Z,X)
| X != A1 )
& ( icext(Z,X)
| X = A1 ) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f22]) ).
fof(f24,plain,
! [S1,A1] :
( ~ iext(uri_rdf_first,S1,A1)
| ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
| ( ! [Z] :
( ~ iext(uri_owl_oneOf,Z,S1)
| ( ic(Z)
& ! [X] :
( ~ icext(Z,X)
| X = A1 )
& ! [X] :
( icext(Z,X)
| X != A1 ) ) )
& ! [Z] :
( iext(uri_owl_oneOf,Z,S1)
| ~ ic(Z)
| ? [X] :
( ( ~ icext(Z,X)
| X != A1 )
& ( icext(Z,X)
| X = A1 ) ) ) ) ),
inference(miniscoping,[status(esa)],[f23]) ).
fof(f25,plain,
! [S1,A1] :
( ~ iext(uri_rdf_first,S1,A1)
| ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
| ( ! [Z] :
( ~ iext(uri_owl_oneOf,Z,S1)
| ( ic(Z)
& ! [X] :
( ~ icext(Z,X)
| X = A1 )
& ! [X] :
( icext(Z,X)
| X != A1 ) ) )
& ! [Z] :
( iext(uri_owl_oneOf,Z,S1)
| ~ ic(Z)
| ( ( ~ icext(Z,sk0_0(Z,A1,S1))
| sk0_0(Z,A1,S1) != A1 )
& ( icext(Z,sk0_0(Z,A1,S1))
| sk0_0(Z,A1,S1) = A1 ) ) ) ) ),
inference(skolemization,[status(esa)],[f24]) ).
fof(f27,plain,
! [X0,X1,X2,X3] :
( ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,X2,X0)
| ~ icext(X2,X3)
| X3 = X1 ),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f31,plain,
! [P] :
( icext(uri_owl_InverseFunctionalProperty,P)
<=> ( ip(P)
& ! [X1,X2,Y] :
( ~ iext(P,X1,Y)
| ~ iext(P,X2,Y)
| X1 = X2 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f6]) ).
fof(f32,plain,
! [P] :
( ( ~ icext(uri_owl_InverseFunctionalProperty,P)
| ( ip(P)
& ! [X1,X2,Y] :
( ~ iext(P,X1,Y)
| ~ iext(P,X2,Y)
| X1 = X2 ) ) )
& ( icext(uri_owl_InverseFunctionalProperty,P)
| ~ ip(P)
| ? [X1,X2,Y] :
( iext(P,X1,Y)
& iext(P,X2,Y)
& X1 != X2 ) ) ),
inference(NNF_transformation,[status(esa)],[f31]) ).
fof(f33,plain,
( ! [P] :
( ~ icext(uri_owl_InverseFunctionalProperty,P)
| ( ip(P)
& ! [X1,X2] :
( ! [Y] :
( ~ iext(P,X1,Y)
| ~ iext(P,X2,Y) )
| X1 = X2 ) ) )
& ! [P] :
( icext(uri_owl_InverseFunctionalProperty,P)
| ~ ip(P)
| ? [X1,X2] :
( ? [Y] :
( iext(P,X1,Y)
& iext(P,X2,Y) )
& X1 != X2 ) ) ),
inference(miniscoping,[status(esa)],[f32]) ).
fof(f34,plain,
( ! [P] :
( ~ icext(uri_owl_InverseFunctionalProperty,P)
| ( ip(P)
& ! [X1,X2] :
( ! [Y] :
( ~ iext(P,X1,Y)
| ~ iext(P,X2,Y) )
| X1 = X2 ) ) )
& ! [P] :
( icext(uri_owl_InverseFunctionalProperty,P)
| ~ ip(P)
| ( iext(P,sk0_1(P),sk0_3(P))
& iext(P,sk0_2(P),sk0_3(P))
& sk0_1(P) != sk0_2(P) ) ) ),
inference(skolemization,[status(esa)],[f33]) ).
fof(f37,plain,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
| ~ ip(X0)
| iext(X0,sk0_1(X0),sk0_3(X0)) ),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f38,plain,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
| ~ ip(X0)
| iext(X0,sk0_2(X0),sk0_3(X0)) ),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f39,plain,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
| ~ ip(X0)
| sk0_1(X0) != sk0_2(X0) ),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f40,plain,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f41,plain,
? [BNODE_l2] :
( ? [BNODE_x2] :
( ? [BNODE_l1] :
( ? [BNODE_x1] :
( iext(uri_rdfs_domain,uri_ex_p,BNODE_x1)
& iext(uri_owl_oneOf,BNODE_x1,BNODE_l1) )
& iext(uri_rdf_first,BNODE_l1,uri_ex_w)
& iext(uri_rdf_rest,BNODE_l1,uri_rdf_nil) )
& iext(uri_rdfs_range,uri_ex_p,BNODE_x2)
& iext(uri_owl_oneOf,BNODE_x2,BNODE_l2) )
& iext(uri_rdf_first,BNODE_l2,uri_ex_u)
& iext(uri_rdf_rest,BNODE_l2,uri_rdf_nil) ),
inference(miniscoping,[status(esa)],[f9]) ).
fof(f42,plain,
( iext(uri_rdfs_domain,uri_ex_p,sk0_7)
& iext(uri_owl_oneOf,sk0_7,sk0_6)
& iext(uri_rdf_first,sk0_6,uri_ex_w)
& iext(uri_rdf_rest,sk0_6,uri_rdf_nil)
& iext(uri_rdfs_range,uri_ex_p,sk0_5)
& iext(uri_owl_oneOf,sk0_5,sk0_4)
& iext(uri_rdf_first,sk0_4,uri_ex_u)
& iext(uri_rdf_rest,sk0_4,uri_rdf_nil) ),
inference(skolemization,[status(esa)],[f41]) ).
fof(f43,plain,
iext(uri_rdfs_domain,uri_ex_p,sk0_7),
inference(cnf_transformation,[status(esa)],[f42]) ).
fof(f44,plain,
iext(uri_owl_oneOf,sk0_7,sk0_6),
inference(cnf_transformation,[status(esa)],[f42]) ).
fof(f45,plain,
iext(uri_rdf_first,sk0_6,uri_ex_w),
inference(cnf_transformation,[status(esa)],[f42]) ).
fof(f46,plain,
iext(uri_rdf_rest,sk0_6,uri_rdf_nil),
inference(cnf_transformation,[status(esa)],[f42]) ).
fof(f52,plain,
! [X0,X1] :
( ~ iext(uri_ex_p,X0,X1)
| icext(sk0_7,X0) ),
inference(resolution,[status(thm)],[f20,f43]) ).
fof(f53,plain,
! [X0,X1] :
( ~ iext(uri_rdfs_domain,X0,X1)
| icext(uri_rdf_Property,X0) ),
inference(resolution,[status(thm)],[f20,f21]) ).
fof(f70,plain,
icext(uri_rdf_Property,uri_ex_p),
inference(resolution,[status(thm)],[f53,f43]) ).
fof(f72,plain,
iext(uri_rdf_type,uri_ex_p,uri_rdf_Property),
inference(resolution,[status(thm)],[f70,f17]) ).
fof(f74,plain,
ip(uri_ex_p),
inference(resolution,[status(thm)],[f72,f12]) ).
fof(f88,plain,
( spl0_6
<=> icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
introduced(split_symbol_definition) ).
fof(f89,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f88]) ).
fof(f91,plain,
( spl0_7
<=> iext(uri_ex_p,sk0_1(uri_ex_p),sk0_3(uri_ex_p)) ),
introduced(split_symbol_definition) ).
fof(f92,plain,
( iext(uri_ex_p,sk0_1(uri_ex_p),sk0_3(uri_ex_p))
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f91]) ).
fof(f94,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| iext(uri_ex_p,sk0_1(uri_ex_p),sk0_3(uri_ex_p)) ),
inference(resolution,[status(thm)],[f37,f74]) ).
fof(f95,plain,
( spl0_6
| spl0_7 ),
inference(split_clause,[status(thm)],[f94,f88,f91]) ).
fof(f101,plain,
( spl0_9
<=> iext(uri_ex_p,sk0_2(uri_ex_p),sk0_3(uri_ex_p)) ),
introduced(split_symbol_definition) ).
fof(f102,plain,
( iext(uri_ex_p,sk0_2(uri_ex_p),sk0_3(uri_ex_p))
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f101]) ).
fof(f104,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| iext(uri_ex_p,sk0_2(uri_ex_p),sk0_3(uri_ex_p)) ),
inference(resolution,[status(thm)],[f38,f74]) ).
fof(f105,plain,
( spl0_6
| spl0_9 ),
inference(split_clause,[status(thm)],[f104,f88,f101]) ).
fof(f112,plain,
! [X0,X1,X2] :
( ~ iext(uri_rdf_first,sk0_6,X0)
| ~ iext(uri_owl_oneOf,X1,sk0_6)
| ~ icext(X1,X2)
| X2 = X0 ),
inference(resolution,[status(thm)],[f27,f46]) ).
fof(f115,plain,
( iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty)
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f89,f17]) ).
fof(f116,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f115,f40]) ).
fof(f117,plain,
~ spl0_6,
inference(contradiction_clause,[status(thm)],[f116]) ).
fof(f122,plain,
( icext(sk0_7,sk0_1(uri_ex_p))
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f92,f52]) ).
fof(f123,plain,
( icext(sk0_7,sk0_2(uri_ex_p))
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f102,f52]) ).
fof(f248,plain,
! [X0,X1] :
( ~ iext(uri_rdf_first,sk0_6,X0)
| ~ icext(sk0_7,X1)
| X1 = X0 ),
inference(resolution,[status(thm)],[f112,f44]) ).
fof(f249,plain,
! [X0] :
( ~ icext(sk0_7,X0)
| X0 = uri_ex_w ),
inference(resolution,[status(thm)],[f248,f45]) ).
fof(f250,plain,
( sk0_2(uri_ex_p) = uri_ex_w
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f249,f123]) ).
fof(f251,plain,
( sk0_1(uri_ex_p) = uri_ex_w
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f249,f122]) ).
fof(f255,plain,
( spl0_30
<=> ip(uri_ex_p) ),
introduced(split_symbol_definition) ).
fof(f257,plain,
( ~ ip(uri_ex_p)
| spl0_30 ),
inference(component_clause,[status(thm)],[f255]) ).
fof(f258,plain,
( spl0_31
<=> sk0_1(uri_ex_p) = uri_ex_w ),
introduced(split_symbol_definition) ).
fof(f260,plain,
( sk0_1(uri_ex_p) != uri_ex_w
| spl0_31 ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f261,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| ~ ip(uri_ex_p)
| sk0_1(uri_ex_p) != uri_ex_w
| ~ spl0_9 ),
inference(paramodulation,[status(thm)],[f250,f39]) ).
fof(f262,plain,
( spl0_6
| ~ spl0_30
| ~ spl0_31
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f261,f88,f255,f258,f101]) ).
fof(f263,plain,
( $false
| spl0_30 ),
inference(forward_subsumption_resolution,[status(thm)],[f257,f74]) ).
fof(f264,plain,
spl0_30,
inference(contradiction_clause,[status(thm)],[f263]) ).
fof(f268,plain,
( uri_ex_w != uri_ex_w
| ~ spl0_7
| spl0_31 ),
inference(forward_demodulation,[status(thm)],[f251,f260]) ).
fof(f269,plain,
( $false
| ~ spl0_7
| spl0_31 ),
inference(trivial_equality_resolution,[status(esa)],[f268]) ).
fof(f270,plain,
( ~ spl0_7
| spl0_31 ),
inference(contradiction_clause,[status(thm)],[f269]) ).
fof(f271,plain,
$false,
inference(sat_refutation,[status(thm)],[f95,f105,f117,f262,f264,f270]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SWB026+2 : TPTP v8.1.2. Released v5.2.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.29 % Computer : n008.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Tue May 30 10:43:23 EDT 2023
% 0.08/0.29 % CPUTime :
% 0.08/0.30 % Drodi V3.5.1
% 0.08/0.30 % Refutation found
% 0.08/0.30 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.30 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.52 % Elapsed time: 0.010403 seconds
% 0.13/0.52 % CPU time: 0.013177 seconds
% 0.13/0.52 % Memory used: 3.005 MB
%------------------------------------------------------------------------------