TSTP Solution File: SWB009+2 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWB009+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 19:15:19 EDT 2022
% Result : Theorem 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of formulae : 50 ( 12 unt; 0 def)
% Number of atoms : 138 ( 0 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 160 ( 72 ~; 58 |; 23 &)
% ( 6 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-3 aty)
% Number of variables : 72 ( 0 sgn 41 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(rdfs_cext_def,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ) ).
fof(owl_restrict_somevaluesfrom,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) ) ) ) ).
fof(testcase_conclusion_fullish_009_Existential_Restriction_Entailments,conjecture,
? [BNODE_x] :
( iext(uri_ex_p,uri_ex_s,BNODE_x)
& iext(uri_rdf_type,BNODE_x,uri_ex_c) ) ).
fof(testcase_premise_fullish_009_Existential_Restriction_Entailments,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) ) ).
fof(subgoal_0,plain,
? [BNODE_x] :
( iext(uri_ex_p,uri_ex_s,BNODE_x)
& iext(uri_rdf_type,BNODE_x,uri_ex_c) ),
inference(strip,[],[testcase_conclusion_fullish_009_Existential_Restriction_Entailments]) ).
fof(negate_0_0,plain,
~ ? [BNODE_x] :
( iext(uri_ex_p,uri_ex_s,BNODE_x)
& iext(uri_rdf_type,BNODE_x,uri_ex_c) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [BNODE_z] :
( iext(uri_owl_onProperty,BNODE_z,uri_ex_p)
& iext(uri_owl_someValuesFrom,BNODE_z,uri_ex_c)
& iext(uri_rdf_type,BNODE_z,uri_owl_Restriction)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
& iext(uri_rdf_type,uri_ex_s,BNODE_z) ),
inference(canonicalize,[],[testcase_premise_fullish_009_Existential_Restriction_Entailments]) ).
fof(normalize_0_1,plain,
( iext(uri_owl_onProperty,skolemFOFtoCNF_BNODE_z,uri_ex_p)
& iext(uri_owl_someValuesFrom,skolemFOFtoCNF_BNODE_z,uri_ex_c)
& iext(uri_rdf_type,skolemFOFtoCNF_BNODE_z,uri_owl_Restriction)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
& iext(uri_rdf_type,uri_ex_s,skolemFOFtoCNF_BNODE_z) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
iext(uri_rdf_type,uri_ex_s,skolemFOFtoCNF_BNODE_z),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [C,X] :
( ~ icext(C,X)
<=> ~ iext(uri_rdf_type,X,C) ),
inference(canonicalize,[],[rdfs_cext_def]) ).
fof(normalize_0_4,plain,
! [C,X] :
( ~ icext(C,X)
<=> ~ iext(uri_rdf_type,X,C) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,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_4]) ).
fof(normalize_0_6,plain,
! [C,X] :
( ~ iext(uri_rdf_type,X,C)
| icext(C,X) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
iext(uri_owl_onProperty,skolemFOFtoCNF_BNODE_z,uri_ex_p),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_8,plain,
iext(uri_owl_someValuesFrom,skolemFOFtoCNF_BNODE_z,uri_ex_c),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_9,plain,
! [C,P,Z] :
( ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_someValuesFrom,Z,C)
| ! [X] :
( ~ icext(Z,X)
<=> ! [Y] :
( ~ icext(C,Y)
| ~ iext(P,X,Y) ) ) ),
inference(canonicalize,[],[owl_restrict_somevaluesfrom]) ).
fof(normalize_0_10,plain,
! [C,P,Z] :
( ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_someValuesFrom,Z,C)
| ! [X] :
( ~ icext(Z,X)
<=> ! [Y] :
( ~ icext(C,Y)
| ~ iext(P,X,Y) ) ) ),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [C,P,X,Y,Z] :
( ( ~ icext(Z,X)
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_someValuesFrom,Z,C)
| icext(C,skolemFOFtoCNF_Y(C,P,X)) )
& ( ~ icext(Z,X)
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_someValuesFrom,Z,C)
| iext(P,X,skolemFOFtoCNF_Y(C,P,X)) )
& ( ~ icext(C,Y)
| ~ iext(P,X,Y)
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_someValuesFrom,Z,C)
| icext(Z,X) ) ),
inference(clausify,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [C,P,X,Z] :
( ~ icext(Z,X)
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_someValuesFrom,Z,C)
| iext(P,X,skolemFOFtoCNF_Y(C,P,X)) ),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [BNODE_x] :
( ~ iext(uri_ex_p,uri_ex_s,BNODE_x)
| ~ iext(uri_rdf_type,BNODE_x,uri_ex_c) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_14,plain,
! [BNODE_x] :
( ~ iext(uri_ex_p,uri_ex_s,BNODE_x)
| ~ iext(uri_rdf_type,BNODE_x,uri_ex_c) ),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [C,X] :
( ~ icext(C,X)
| iext(uri_rdf_type,X,C) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_16,plain,
! [C,P,X,Z] :
( ~ icext(Z,X)
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_someValuesFrom,Z,C)
| icext(C,skolemFOFtoCNF_Y(C,P,X)) ),
inference(conjunct,[],[normalize_0_11]) ).
cnf(refute_0_0,plain,
iext(uri_rdf_type,uri_ex_s,skolemFOFtoCNF_BNODE_z),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ iext(uri_rdf_type,X,C)
| icext(C,X) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_2,plain,
( ~ iext(uri_rdf_type,uri_ex_s,skolemFOFtoCNF_BNODE_z)
| icext(skolemFOFtoCNF_BNODE_z,uri_ex_s) ),
inference(subst,[],[refute_0_1:[bind(C,$fot(skolemFOFtoCNF_BNODE_z)),bind(X,$fot(uri_ex_s))]]) ).
cnf(refute_0_3,plain,
icext(skolemFOFtoCNF_BNODE_z,uri_ex_s),
inference(resolve,[$cnf( iext(uri_rdf_type,uri_ex_s,skolemFOFtoCNF_BNODE_z) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
iext(uri_owl_onProperty,skolemFOFtoCNF_BNODE_z,uri_ex_p),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_5,plain,
iext(uri_owl_someValuesFrom,skolemFOFtoCNF_BNODE_z,uri_ex_c),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_6,plain,
( ~ icext(Z,X)
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_someValuesFrom,Z,C)
| iext(P,X,skolemFOFtoCNF_Y(C,P,X)) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_7,plain,
( ~ icext(skolemFOFtoCNF_BNODE_z,X_20)
| ~ iext(uri_owl_onProperty,skolemFOFtoCNF_BNODE_z,X_19)
| ~ iext(uri_owl_someValuesFrom,skolemFOFtoCNF_BNODE_z,uri_ex_c)
| iext(X_19,X_20,skolemFOFtoCNF_Y(uri_ex_c,X_19,X_20)) ),
inference(subst,[],[refute_0_6:[bind(C,$fot(uri_ex_c)),bind(P,$fot(X_19)),bind(X,$fot(X_20)),bind(Z,$fot(skolemFOFtoCNF_BNODE_z))]]) ).
cnf(refute_0_8,plain,
( ~ icext(skolemFOFtoCNF_BNODE_z,X_20)
| ~ iext(uri_owl_onProperty,skolemFOFtoCNF_BNODE_z,X_19)
| iext(X_19,X_20,skolemFOFtoCNF_Y(uri_ex_c,X_19,X_20)) ),
inference(resolve,[$cnf( iext(uri_owl_someValuesFrom,skolemFOFtoCNF_BNODE_z,uri_ex_c) )],[refute_0_5,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ icext(skolemFOFtoCNF_BNODE_z,X_23)
| ~ iext(uri_owl_onProperty,skolemFOFtoCNF_BNODE_z,uri_ex_p)
| iext(uri_ex_p,X_23,skolemFOFtoCNF_Y(uri_ex_c,uri_ex_p,X_23)) ),
inference(subst,[],[refute_0_8:[bind(X_19,$fot(uri_ex_p)),bind(X_20,$fot(X_23))]]) ).
cnf(refute_0_10,plain,
( ~ icext(skolemFOFtoCNF_BNODE_z,X_23)
| iext(uri_ex_p,X_23,skolemFOFtoCNF_Y(uri_ex_c,uri_ex_p,X_23)) ),
inference(resolve,[$cnf( iext(uri_owl_onProperty,skolemFOFtoCNF_BNODE_z,uri_ex_p) )],[refute_0_4,refute_0_9]) ).
cnf(refute_0_11,plain,
( ~ icext(skolemFOFtoCNF_BNODE_z,uri_ex_s)
| iext(uri_ex_p,uri_ex_s,skolemFOFtoCNF_Y(uri_ex_c,uri_ex_p,uri_ex_s)) ),
inference(subst,[],[refute_0_10:[bind(X_23,$fot(uri_ex_s))]]) ).
cnf(refute_0_12,plain,
iext(uri_ex_p,uri_ex_s,skolemFOFtoCNF_Y(uri_ex_c,uri_ex_p,uri_ex_s)),
inference(resolve,[$cnf( icext(skolemFOFtoCNF_BNODE_z,uri_ex_s) )],[refute_0_3,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ iext(uri_ex_p,uri_ex_s,BNODE_x)
| ~ iext(uri_rdf_type,BNODE_x,uri_ex_c) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_14,plain,
( ~ iext(uri_ex_p,uri_ex_s,skolemFOFtoCNF_Y(uri_ex_c,uri_ex_p,uri_ex_s))
| ~ iext(uri_rdf_type,skolemFOFtoCNF_Y(uri_ex_c,uri_ex_p,uri_ex_s),uri_ex_c) ),
inference(subst,[],[refute_0_13:[bind(BNODE_x,$fot(skolemFOFtoCNF_Y(uri_ex_c,uri_ex_p,uri_ex_s)))]]) ).
cnf(refute_0_15,plain,
( ~ icext(C,X)
| iext(uri_rdf_type,X,C) ),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_16,plain,
( ~ icext(uri_ex_c,skolemFOFtoCNF_Y(uri_ex_c,uri_ex_p,uri_ex_s))
| iext(uri_rdf_type,skolemFOFtoCNF_Y(uri_ex_c,uri_ex_p,uri_ex_s),uri_ex_c) ),
inference(subst,[],[refute_0_15:[bind(C,$fot(uri_ex_c)),bind(X,$fot(skolemFOFtoCNF_Y(uri_ex_c,uri_ex_p,uri_ex_s)))]]) ).
cnf(refute_0_17,plain,
( ~ icext(Z,X)
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_someValuesFrom,Z,C)
| icext(C,skolemFOFtoCNF_Y(C,P,X)) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_18,plain,
( ~ icext(skolemFOFtoCNF_BNODE_z,X_11)
| ~ iext(uri_owl_onProperty,skolemFOFtoCNF_BNODE_z,X_10)
| ~ iext(uri_owl_someValuesFrom,skolemFOFtoCNF_BNODE_z,uri_ex_c)
| icext(uri_ex_c,skolemFOFtoCNF_Y(uri_ex_c,X_10,X_11)) ),
inference(subst,[],[refute_0_17:[bind(C,$fot(uri_ex_c)),bind(P,$fot(X_10)),bind(X,$fot(X_11)),bind(Z,$fot(skolemFOFtoCNF_BNODE_z))]]) ).
cnf(refute_0_19,plain,
( ~ icext(skolemFOFtoCNF_BNODE_z,X_11)
| ~ iext(uri_owl_onProperty,skolemFOFtoCNF_BNODE_z,X_10)
| icext(uri_ex_c,skolemFOFtoCNF_Y(uri_ex_c,X_10,X_11)) ),
inference(resolve,[$cnf( iext(uri_owl_someValuesFrom,skolemFOFtoCNF_BNODE_z,uri_ex_c) )],[refute_0_5,refute_0_18]) ).
cnf(refute_0_20,plain,
( ~ icext(skolemFOFtoCNF_BNODE_z,X_14)
| ~ iext(uri_owl_onProperty,skolemFOFtoCNF_BNODE_z,uri_ex_p)
| icext(uri_ex_c,skolemFOFtoCNF_Y(uri_ex_c,uri_ex_p,X_14)) ),
inference(subst,[],[refute_0_19:[bind(X_10,$fot(uri_ex_p)),bind(X_11,$fot(X_14))]]) ).
cnf(refute_0_21,plain,
( ~ icext(skolemFOFtoCNF_BNODE_z,X_14)
| icext(uri_ex_c,skolemFOFtoCNF_Y(uri_ex_c,uri_ex_p,X_14)) ),
inference(resolve,[$cnf( iext(uri_owl_onProperty,skolemFOFtoCNF_BNODE_z,uri_ex_p) )],[refute_0_4,refute_0_20]) ).
cnf(refute_0_22,plain,
( ~ icext(skolemFOFtoCNF_BNODE_z,uri_ex_s)
| icext(uri_ex_c,skolemFOFtoCNF_Y(uri_ex_c,uri_ex_p,uri_ex_s)) ),
inference(subst,[],[refute_0_21:[bind(X_14,$fot(uri_ex_s))]]) ).
cnf(refute_0_23,plain,
icext(uri_ex_c,skolemFOFtoCNF_Y(uri_ex_c,uri_ex_p,uri_ex_s)),
inference(resolve,[$cnf( icext(skolemFOFtoCNF_BNODE_z,uri_ex_s) )],[refute_0_3,refute_0_22]) ).
cnf(refute_0_24,plain,
iext(uri_rdf_type,skolemFOFtoCNF_Y(uri_ex_c,uri_ex_p,uri_ex_s),uri_ex_c),
inference(resolve,[$cnf( icext(uri_ex_c,skolemFOFtoCNF_Y(uri_ex_c,uri_ex_p,uri_ex_s)) )],[refute_0_23,refute_0_16]) ).
cnf(refute_0_25,plain,
~ iext(uri_ex_p,uri_ex_s,skolemFOFtoCNF_Y(uri_ex_c,uri_ex_p,uri_ex_s)),
inference(resolve,[$cnf( iext(uri_rdf_type,skolemFOFtoCNF_Y(uri_ex_c,uri_ex_p,uri_ex_s),uri_ex_c) )],[refute_0_24,refute_0_14]) ).
cnf(refute_0_26,plain,
$false,
inference(resolve,[$cnf( iext(uri_ex_p,uri_ex_s,skolemFOFtoCNF_Y(uri_ex_c,uri_ex_p,uri_ex_s)) )],[refute_0_12,refute_0_25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWB009+2 : TPTP v8.1.0. Released v5.2.0.
% 0.06/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 1 08:46:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35
% 0.13/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.36
%------------------------------------------------------------------------------