TSTP Solution File: SWB014+2 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWB014+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 12:38:34 EDT 2023
% Result : Theorem 0.15s 0.32s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 6
% Syntax : Number of formulae : 47 ( 11 unt; 0 def)
% Number of atoms : 216 ( 0 equ)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 263 ( 94 ~; 103 |; 58 &)
% ( 7 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 12 con; 0-4 aty)
% Number of variables : 85 (; 75 !; 10 ?)
% 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,S1,C1,S2,C2] :
( ( iext(uri_rdf_first,S1,C1)
& iext(uri_rdf_rest,S1,S2)
& iext(uri_rdf_first,S2,C2)
& iext(uri_rdf_rest,S2,uri_rdf_nil) )
=> ( iext(uri_owl_unionOf,Z,S1)
<=> ( ic(Z)
& ic(C1)
& ic(C2)
& ! [X] :
( icext(Z,X)
<=> ( icext(C1,X)
| icext(C2,X) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,conjecture,
? [BNODE_x] :
( iext(uri_rdf_type,uri_ex_harry,BNODE_x)
& iext(uri_rdf_type,BNODE_x,uri_ex_Species) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
~ ? [BNODE_x] :
( iext(uri_rdf_type,uri_ex_harry,BNODE_x)
& iext(uri_rdf_type,BNODE_x,uri_ex_Species) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,axiom,
? [BNODE_u,BNODE_l1,BNODE_l2] :
( iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species)
& iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species)
& iext(uri_rdf_type,uri_ex_harry,BNODE_u)
& iext(uri_owl_unionOf,BNODE_u,BNODE_l1)
& iext(uri_rdf_first,BNODE_l1,uri_ex_Eagle)
& iext(uri_rdf_rest,BNODE_l1,BNODE_l2)
& iext(uri_rdf_first,BNODE_l2,uri_ex_Falcon)
& iext(uri_rdf_rest,BNODE_l2,uri_rdf_nil) ),
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,S1,C1,S2,C2] :
( ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ( iext(uri_owl_unionOf,Z,S1)
<=> ( ic(Z)
& ic(C1)
& ic(C2)
& ! [X] :
( icext(Z,X)
<=> ( icext(C1,X)
| icext(C2,X) ) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f11,plain,
! [Z,S1,C1,S2,C2] :
( ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ( ( ~ iext(uri_owl_unionOf,Z,S1)
| ( ic(Z)
& ic(C1)
& ic(C2)
& ! [X] :
( ( ~ icext(Z,X)
| icext(C1,X)
| icext(C2,X) )
& ( icext(Z,X)
| ( ~ icext(C1,X)
& ~ icext(C2,X) ) ) ) ) )
& ( iext(uri_owl_unionOf,Z,S1)
| ~ ic(Z)
| ~ ic(C1)
| ~ ic(C2)
| ? [X] :
( ( ~ icext(Z,X)
| ( ~ icext(C1,X)
& ~ icext(C2,X) ) )
& ( icext(Z,X)
| icext(C1,X)
| icext(C2,X) ) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f10]) ).
fof(f12,plain,
! [S1,C1,C2] :
( ! [S2] :
( ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil) )
| ( ! [Z] :
( ~ iext(uri_owl_unionOf,Z,S1)
| ( ic(Z)
& ic(C1)
& ic(C2)
& ! [X] :
( ~ icext(Z,X)
| icext(C1,X)
| icext(C2,X) )
& ! [X] :
( icext(Z,X)
| ( ~ icext(C1,X)
& ~ icext(C2,X) ) ) ) )
& ! [Z] :
( iext(uri_owl_unionOf,Z,S1)
| ~ ic(Z)
| ~ ic(C1)
| ~ ic(C2)
| ? [X] :
( ( ~ icext(Z,X)
| ( ~ icext(C1,X)
& ~ icext(C2,X) ) )
& ( icext(Z,X)
| icext(C1,X)
| icext(C2,X) ) ) ) ) ),
inference(miniscoping,[status(esa)],[f11]) ).
fof(f13,plain,
! [S1,C1,C2] :
( ! [S2] :
( ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil) )
| ( ! [Z] :
( ~ iext(uri_owl_unionOf,Z,S1)
| ( ic(Z)
& ic(C1)
& ic(C2)
& ! [X] :
( ~ icext(Z,X)
| icext(C1,X)
| icext(C2,X) )
& ! [X] :
( icext(Z,X)
| ( ~ icext(C1,X)
& ~ icext(C2,X) ) ) ) )
& ! [Z] :
( iext(uri_owl_unionOf,Z,S1)
| ~ ic(Z)
| ~ ic(C1)
| ~ ic(C2)
| ( ( ~ icext(Z,sk0_0(Z,C2,C1,S1))
| ( ~ icext(C1,sk0_0(Z,C2,C1,S1))
& ~ icext(C2,sk0_0(Z,C2,C1,S1)) ) )
& ( icext(Z,sk0_0(Z,C2,C1,S1))
| icext(C1,sk0_0(Z,C2,C1,S1))
| icext(C2,sk0_0(Z,C2,C1,S1)) ) ) ) ) ),
inference(skolemization,[status(esa)],[f12]) ).
fof(f17,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_owl_unionOf,X4,X0)
| ~ icext(X4,X5)
| icext(X1,X5)
| icext(X3,X5) ),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f23,plain,
! [BNODE_x] :
( ~ iext(uri_rdf_type,uri_ex_harry,BNODE_x)
| ~ iext(uri_rdf_type,BNODE_x,uri_ex_Species) ),
inference(pre_NNF_transformation,[status(esa)],[f4]) ).
fof(f24,plain,
! [X0] :
( ~ iext(uri_rdf_type,uri_ex_harry,X0)
| ~ iext(uri_rdf_type,X0,uri_ex_Species) ),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f25,plain,
? [BNODE_l2] :
( ? [BNODE_l1] :
( ? [BNODE_u] :
( iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species)
& iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species)
& iext(uri_rdf_type,uri_ex_harry,BNODE_u)
& iext(uri_owl_unionOf,BNODE_u,BNODE_l1) )
& iext(uri_rdf_first,BNODE_l1,uri_ex_Eagle)
& iext(uri_rdf_rest,BNODE_l1,BNODE_l2) )
& iext(uri_rdf_first,BNODE_l2,uri_ex_Falcon)
& iext(uri_rdf_rest,BNODE_l2,uri_rdf_nil) ),
inference(miniscoping,[status(esa)],[f5]) ).
fof(f26,plain,
( iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species)
& iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species)
& iext(uri_rdf_type,uri_ex_harry,sk0_3)
& iext(uri_owl_unionOf,sk0_3,sk0_2)
& iext(uri_rdf_first,sk0_2,uri_ex_Eagle)
& iext(uri_rdf_rest,sk0_2,sk0_1)
& iext(uri_rdf_first,sk0_1,uri_ex_Falcon)
& iext(uri_rdf_rest,sk0_1,uri_rdf_nil) ),
inference(skolemization,[status(esa)],[f25]) ).
fof(f27,plain,
iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f28,plain,
iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f29,plain,
iext(uri_rdf_type,uri_ex_harry,sk0_3),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f30,plain,
iext(uri_owl_unionOf,sk0_3,sk0_2),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f31,plain,
iext(uri_rdf_first,sk0_2,uri_ex_Eagle),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f32,plain,
iext(uri_rdf_rest,sk0_2,sk0_1),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f33,plain,
iext(uri_rdf_first,sk0_1,uri_ex_Falcon),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f34,plain,
iext(uri_rdf_rest,sk0_1,uri_rdf_nil),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f44,plain,
! [X0,X1,X2,X3,X4] :
( ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,X0,sk0_1)
| ~ iext(uri_rdf_first,sk0_1,X2)
| ~ iext(uri_owl_unionOf,X3,X0)
| ~ icext(X3,X4)
| icext(X1,X4)
| icext(X2,X4) ),
inference(resolution,[status(thm)],[f17,f34]) ).
fof(f56,plain,
! [X0,X1,X2,X3] :
( ~ iext(uri_rdf_first,sk0_2,X0)
| ~ iext(uri_rdf_first,sk0_1,X1)
| ~ iext(uri_owl_unionOf,X2,sk0_2)
| ~ icext(X2,X3)
| icext(X0,X3)
| icext(X1,X3) ),
inference(resolution,[status(thm)],[f44,f32]) ).
fof(f57,plain,
! [X0,X1,X2] :
( ~ iext(uri_rdf_first,sk0_2,X0)
| ~ iext(uri_rdf_first,sk0_1,X1)
| ~ icext(sk0_3,X2)
| icext(X0,X2)
| icext(X1,X2) ),
inference(resolution,[status(thm)],[f56,f30]) ).
fof(f58,plain,
! [X0,X1,X2] :
( ~ iext(uri_rdf_first,sk0_2,X0)
| ~ iext(uri_rdf_first,sk0_1,X1)
| icext(X0,X2)
| icext(X1,X2)
| ~ iext(uri_rdf_type,X2,sk0_3) ),
inference(resolution,[status(thm)],[f57,f8]) ).
fof(f59,plain,
! [X0,X1] :
( ~ iext(uri_rdf_first,sk0_1,X0)
| icext(uri_ex_Eagle,X1)
| icext(X0,X1)
| ~ iext(uri_rdf_type,X1,sk0_3) ),
inference(resolution,[status(thm)],[f58,f31]) ).
fof(f60,plain,
! [X0,X1] :
( ~ iext(uri_rdf_first,sk0_1,X0)
| icext(X0,X1)
| ~ iext(uri_rdf_type,X1,sk0_3)
| iext(uri_rdf_type,X1,uri_ex_Eagle) ),
inference(resolution,[status(thm)],[f59,f9]) ).
fof(f61,plain,
! [X0] :
( icext(uri_ex_Falcon,X0)
| ~ iext(uri_rdf_type,X0,sk0_3)
| iext(uri_rdf_type,X0,uri_ex_Eagle) ),
inference(resolution,[status(thm)],[f60,f33]) ).
fof(f62,plain,
! [X0] :
( ~ iext(uri_rdf_type,X0,sk0_3)
| iext(uri_rdf_type,X0,uri_ex_Eagle)
| iext(uri_rdf_type,X0,uri_ex_Falcon) ),
inference(resolution,[status(thm)],[f61,f9]) ).
fof(f63,plain,
( spl0_4
<=> iext(uri_rdf_type,uri_ex_harry,uri_ex_Eagle) ),
introduced(split_symbol_definition) ).
fof(f64,plain,
( iext(uri_rdf_type,uri_ex_harry,uri_ex_Eagle)
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f63]) ).
fof(f66,plain,
( spl0_5
<=> iext(uri_rdf_type,uri_ex_harry,uri_ex_Falcon) ),
introduced(split_symbol_definition) ).
fof(f67,plain,
( iext(uri_rdf_type,uri_ex_harry,uri_ex_Falcon)
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f66]) ).
fof(f69,plain,
( iext(uri_rdf_type,uri_ex_harry,uri_ex_Eagle)
| iext(uri_rdf_type,uri_ex_harry,uri_ex_Falcon) ),
inference(resolution,[status(thm)],[f62,f29]) ).
fof(f70,plain,
( spl0_4
| spl0_5 ),
inference(split_clause,[status(thm)],[f69,f63,f66]) ).
fof(f79,plain,
( ~ iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species)
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f64,f24]) ).
fof(f80,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f79,f27]) ).
fof(f81,plain,
~ spl0_4,
inference(contradiction_clause,[status(thm)],[f80]) ).
fof(f82,plain,
( ~ iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species)
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f67,f24]) ).
fof(f83,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f82,f28]) ).
fof(f84,plain,
~ spl0_5,
inference(contradiction_clause,[status(thm)],[f83]) ).
fof(f85,plain,
$false,
inference(sat_refutation,[status(thm)],[f70,f81,f84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWB014+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n002.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 10:56:28 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.09/0.31 % Drodi V3.5.1
% 0.15/0.32 % Refutation found
% 0.15/0.32 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.55 % Elapsed time: 0.030248 seconds
% 0.15/0.55 % CPU time: 0.014074 seconds
% 0.15/0.55 % Memory used: 591.255 KB
%------------------------------------------------------------------------------