TSTP Solution File: SWB074+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWB074+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n022.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 : 600s
% DateTime : Tue Jul 19 19:15:36 EDT 2022
% Result : Theorem 56.71s 56.90s
% Output : CNFRefutation 56.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 31 ( 14 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 47 ( 24 ~; 11 |; 5 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 25 ( 3 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(simple_ir,axiom,
! [X] : ir(X) ).
fof(owl_parts_lv_def,axiom,
! [X] :
( lv(X)
<=> iext(uri_rdf_type,X,uri_rdfs_Literal) ) ).
fof(owl_prop_topdataproperty_ext,axiom,
! [X,Y] :
( iext(uri_owl_topDataProperty,X,Y)
<=> ( ir(X)
& lv(Y) ) ) ).
fof(conclusion_rdfbased_sem_prop_topdataproperty_ext_lo,conjecture,
iext(uri_owl_topDataProperty,uri_ex_x,uri_ex_y) ).
fof(premise_rdfbased_sem_prop_topdataproperty_ext_lo,axiom,
( iext(uri_rdf_type,uri_ex_y,uri_rdfs_Literal)
& iext(uri_rdf_type,uri_ex_x,uri_owl_Thing) ) ).
fof(subgoal_0,plain,
iext(uri_owl_topDataProperty,uri_ex_x,uri_ex_y),
inference(strip,[],[conclusion_rdfbased_sem_prop_topdataproperty_ext_lo]) ).
fof(negate_0_0,plain,
~ iext(uri_owl_topDataProperty,uri_ex_x,uri_ex_y),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
~ iext(uri_owl_topDataProperty,uri_ex_x,uri_ex_y),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
! [X,Y] :
( ~ iext(uri_owl_topDataProperty,X,Y)
<=> ( ~ ir(X)
| ~ lv(Y) ) ),
inference(canonicalize,[],[owl_prop_topdataproperty_ext]) ).
fof(normalize_0_2,plain,
! [X] : ir(X),
inference(canonicalize,[],[simple_ir]) ).
fof(normalize_0_3,plain,
! [X] : ir(X),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X,Y] :
( ~ iext(uri_owl_topDataProperty,X,Y)
<=> ~ lv(Y) ),
inference(simplify,[],[normalize_0_1,normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X,Y] :
( ~ iext(uri_owl_topDataProperty,X,Y)
<=> ~ lv(Y) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X,Y] :
( ( ~ iext(uri_owl_topDataProperty,X,Y)
| lv(Y) )
& ( ~ lv(Y)
| iext(uri_owl_topDataProperty,X,Y) ) ),
inference(clausify,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [X,Y] :
( ~ lv(Y)
| iext(uri_owl_topDataProperty,X,Y) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
( iext(uri_rdf_type,uri_ex_x,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_y,uri_rdfs_Literal) ),
inference(canonicalize,[],[premise_rdfbased_sem_prop_topdataproperty_ext_lo]) ).
fof(normalize_0_9,plain,
iext(uri_rdf_type,uri_ex_y,uri_rdfs_Literal),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [X] :
( ~ iext(uri_rdf_type,X,uri_rdfs_Literal)
<=> ~ lv(X) ),
inference(canonicalize,[],[owl_parts_lv_def]) ).
fof(normalize_0_11,plain,
! [X] :
( ~ iext(uri_rdf_type,X,uri_rdfs_Literal)
<=> ~ lv(X) ),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [X] :
( ( ~ iext(uri_rdf_type,X,uri_rdfs_Literal)
| lv(X) )
& ( ~ lv(X)
| iext(uri_rdf_type,X,uri_rdfs_Literal) ) ),
inference(clausify,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [X] :
( ~ iext(uri_rdf_type,X,uri_rdfs_Literal)
| lv(X) ),
inference(conjunct,[],[normalize_0_12]) ).
cnf(refute_0_0,plain,
~ iext(uri_owl_topDataProperty,uri_ex_x,uri_ex_y),
inference(canonicalize,[],[normalize_0_0]) ).
cnf(refute_0_1,plain,
( ~ lv(Y)
| iext(uri_owl_topDataProperty,X,Y) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_2,plain,
( ~ lv(uri_ex_y)
| iext(uri_owl_topDataProperty,X,uri_ex_y) ),
inference(subst,[],[refute_0_1:[bind(Y,$fot(uri_ex_y))]]) ).
cnf(refute_0_3,plain,
iext(uri_rdf_type,uri_ex_y,uri_rdfs_Literal),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_4,plain,
( ~ iext(uri_rdf_type,X,uri_rdfs_Literal)
| lv(X) ),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_5,plain,
( ~ iext(uri_rdf_type,uri_ex_y,uri_rdfs_Literal)
| lv(uri_ex_y) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(uri_ex_y))]]) ).
cnf(refute_0_6,plain,
lv(uri_ex_y),
inference(resolve,[$cnf( iext(uri_rdf_type,uri_ex_y,uri_rdfs_Literal) )],[refute_0_3,refute_0_5]) ).
cnf(refute_0_7,plain,
iext(uri_owl_topDataProperty,X,uri_ex_y),
inference(resolve,[$cnf( lv(uri_ex_y) )],[refute_0_6,refute_0_2]) ).
cnf(refute_0_8,plain,
iext(uri_owl_topDataProperty,uri_ex_x,uri_ex_y),
inference(subst,[],[refute_0_7:[bind(X,$fot(uri_ex_x))]]) ).
cnf(refute_0_9,plain,
$false,
inference(resolve,[$cnf( iext(uri_owl_topDataProperty,uri_ex_x,uri_ex_y) )],[refute_0_8,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWB074+1 : TPTP v8.1.0. Released v5.2.0.
% 0.04/0.13 % Command : metis --show proof --show saturation %s
% 0.15/0.35 % Computer : n022.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Wed Jun 1 05:30:52 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.15/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 56.71/56.90 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 56.71/56.90
% 56.71/56.90 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 56.71/56.90
%------------------------------------------------------------------------------