%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWB018+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %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 : 600s
% DateTime : Tue Jul 19 19:15:24 EDT 2022
% Result : Theorem 0.18s 0.34s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 39 ( 15 unt; 0 def)
% Number of atoms : 73 ( 9 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 67 ( 33 ~; 22 |; 5 &)
% ( 6 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 57 ( 6 sgn 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(rdfs_cext_def,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ) ).
fof(rdfs_domain_main,axiom,
! [P,C,X,Y] :
( ( iext(uri_rdfs_domain,P,C)
& iext(P,X,Y) )
=> icext(C,X) ) ).
fof(owl_eqdis_sameas,axiom,
! [X,Y] :
( iext(uri_owl_sameAs,X,Y)
<=> X = Y ) ).
fof(testcase_conclusion_fullish_018_Modified_Logical_Vocabulary_Semantics,conjecture,
iext(uri_rdf_type,uri_ex_u,uri_ex_Person) ).
fof(testcase_premise_fullish_018_Modified_Logical_Vocabulary_Semantics,axiom,
( iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person)
& iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ) ).
fof(subgoal_0,plain,
iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
inference(strip,[],[testcase_conclusion_fullish_018_Modified_Logical_Vocabulary_Semantics]) ).
fof(negate_0_0,plain,
~ iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
~ iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
! [C,X] :
( ~ icext(C,X)
<=> ~ iext(uri_rdf_type,X,C) ),
inference(canonicalize,[],[rdfs_cext_def]) ).
fof(normalize_0_2,plain,
! [C,X] :
( ~ icext(C,X)
<=> ~ iext(uri_rdf_type,X,C) ),
inference(specialize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [C,X] :
( ( ~ icext(C,X)
| iext(uri_rdf_type,X,C) )
& ( ~ iext(uri_rdf_type,X,C)
| icext(C,X) ) ),
inference(clausify,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [C,X] :
( ~ icext(C,X)
| iext(uri_rdf_type,X,C) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
( iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
& iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person) ),
inference(canonicalize,[],[testcase_premise_fullish_018_Modified_Logical_Vocabulary_Semantics]) ).
fof(normalize_0_6,plain,
iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [X,Y] :
( X != Y
<=> ~ iext(uri_owl_sameAs,X,Y) ),
inference(canonicalize,[],[owl_eqdis_sameas]) ).
fof(normalize_0_8,plain,
! [X,Y] :
( X != Y
<=> ~ iext(uri_owl_sameAs,X,Y) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [X,Y] :
( ( X != Y
| iext(uri_owl_sameAs,X,Y) )
& ( ~ iext(uri_owl_sameAs,X,Y)
| X = Y ) ),
inference(clausify,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [X,Y] :
( X != Y
| iext(uri_owl_sameAs,X,Y) ),
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [C,P,X] :
( ~ iext(uri_rdfs_domain,P,C)
| icext(C,X)
| ! [Y] : ~ iext(P,X,Y) ),
inference(canonicalize,[],[rdfs_domain_main]) ).
fof(normalize_0_12,plain,
! [C,P,X] :
( ~ iext(uri_rdfs_domain,P,C)
| icext(C,X)
| ! [Y] : ~ iext(P,X,Y) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [C,P,X,Y] :
( ~ iext(P,X,Y)
| ~ iext(uri_rdfs_domain,P,C)
| icext(C,X) ),
inference(clausify,[],[normalize_0_12]) ).
cnf(refute_0_0,plain,
~ iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
inference(canonicalize,[],[normalize_0_0]) ).
cnf(refute_0_1,plain,
( ~ icext(C,X)
| iext(uri_rdf_type,X,C) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
( ~ icext(uri_ex_Person,X_14)
| iext(uri_rdf_type,X_14,uri_ex_Person) ),
inference(subst,[],[refute_0_1:[bind(C,$fot(uri_ex_Person)),bind(X,$fot(X_14))]]) ).
cnf(refute_0_3,plain,
iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_4,plain,
( X != Y
| iext(uri_owl_sameAs,X,Y) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_5,plain,
( Y != Y
| iext(uri_owl_sameAs,Y,Y) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(Y))]]) ).
cnf(refute_0_6,plain,
Y = Y,
introduced(tautology,[refl,[$fot(Y)]]) ).
cnf(refute_0_7,plain,
iext(uri_owl_sameAs,Y,Y),
inference(resolve,[$cnf( $equal(Y,Y) )],[refute_0_6,refute_0_5]) ).
cnf(refute_0_8,plain,
iext(uri_owl_sameAs,X_11,X_11),
inference(subst,[],[refute_0_7:[bind(Y,$fot(X_11))]]) ).
cnf(refute_0_9,plain,
( ~ iext(P,X,Y)
| ~ iext(uri_rdfs_domain,P,C)
| icext(C,X) ),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_10,plain,
( ~ iext(uri_owl_sameAs,X_11,X_11)
| ~ iext(uri_rdfs_domain,uri_owl_sameAs,X_8)
| icext(X_8,X_11) ),
inference(subst,[],[refute_0_9:[bind(C,$fot(X_8)),bind(P,$fot(uri_owl_sameAs)),bind(X,$fot(X_11)),bind(Y,$fot(X_11))]]) ).
cnf(refute_0_11,plain,
( ~ iext(uri_rdfs_domain,uri_owl_sameAs,X_8)
| icext(X_8,X_11) ),
inference(resolve,[$cnf( iext(uri_owl_sameAs,X_11,X_11) )],[refute_0_8,refute_0_10]) ).
cnf(refute_0_12,plain,
( ~ iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person)
| icext(uri_ex_Person,X_12) ),
inference(subst,[],[refute_0_11:[bind(X_11,$fot(X_12)),bind(X_8,$fot(uri_ex_Person))]]) ).
cnf(refute_0_13,plain,
icext(uri_ex_Person,X_12),
inference(resolve,[$cnf( iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person) )],[refute_0_3,refute_0_12]) ).
cnf(refute_0_14,plain,
icext(uri_ex_Person,X_14),
inference(subst,[],[refute_0_13:[bind(X_12,$fot(X_14))]]) ).
cnf(refute_0_15,plain,
iext(uri_rdf_type,X_14,uri_ex_Person),
inference(resolve,[$cnf( icext(uri_ex_Person,X_14) )],[refute_0_14,refute_0_2]) ).
cnf(refute_0_16,plain,
iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
inference(subst,[],[refute_0_15:[bind(X_14,$fot(uri_ex_u))]]) ).
cnf(refute_0_17,plain,
$false,
inference(resolve,[$cnf( iext(uri_rdf_type,uri_ex_u,uri_ex_Person) )],[refute_0_16,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB018+2 : TPTP v8.1.0. Released v5.2.0.
% 0.12/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 1 09:14:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.34 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.34
% 0.18/0.34 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.18/0.35
%------------------------------------------------------------------------------