TSTP Solution File: SWB024+2 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWB024+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n017.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 19:15:27 EDT 2022
% Result : Theorem 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 6
% Syntax : Number of formulae : 67 ( 19 unt; 0 def)
% Number of atoms : 209 ( 0 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 243 ( 101 ~; 82 |; 45 &)
% ( 12 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 13 con; 0-2 aty)
% Number of variables : 95 ( 0 sgn 57 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(rdfs_cext_def,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ) ).
fof(owl_restrict_mincard_001,axiom,
! [Z,P] :
( ( iext(uri_owl_minCardinality,Z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
& iext(uri_owl_onProperty,Z,P) )
=> ! [X] :
( icext(Z,X)
<=> ? [Y] : iext(P,X,Y) ) ) ).
fof(owl_rdfsext_subclassof,axiom,
! [C1,C2] :
( iext(uri_rdfs_subClassOf,C1,C2)
<=> ( ic(C1)
& ic(C2)
& ! [X] :
( icext(C1,X)
=> icext(C2,X) ) ) ) ).
fof(owl_char_transitive,axiom,
! [P] :
( icext(uri_owl_TransitiveProperty,P)
<=> ( ip(P)
& ! [X,Y,Z] :
( ( iext(P,X,Y)
& iext(P,Y,Z) )
=> iext(P,X,Z) ) ) ) ).
fof(testcase_conclusion_fullish_024_Cardinality_Restrictions_on_Complex_Properties,conjecture,
? [BNODE_x] :
( iext(uri_ex_hasAncestor,uri_ex_bob,BNODE_x)
& iext(uri_ex_hasAncestor,uri_ex_alice,BNODE_x) ) ).
fof(testcase_premise_fullish_024_Cardinality_Restrictions_on_Complex_Properties,axiom,
? [BNODE_z] :
( iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty)
& iext(uri_rdfs_subClassOf,uri_ex_Person,BNODE_z)
& iext(uri_rdf_type,BNODE_z,uri_owl_Restriction)
& iext(uri_owl_onProperty,BNODE_z,uri_ex_hasAncestor)
& iext(uri_owl_minCardinality,BNODE_z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
& iext(uri_rdf_type,uri_ex_alice,uri_ex_Person)
& iext(uri_rdf_type,uri_ex_bob,uri_ex_Person)
& iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob) ) ).
fof(subgoal_0,plain,
? [BNODE_x] :
( iext(uri_ex_hasAncestor,uri_ex_bob,BNODE_x)
& iext(uri_ex_hasAncestor,uri_ex_alice,BNODE_x) ),
inference(strip,[],[testcase_conclusion_fullish_024_Cardinality_Restrictions_on_Complex_Properties]) ).
fof(negate_0_0,plain,
~ ? [BNODE_x] :
( iext(uri_ex_hasAncestor,uri_ex_bob,BNODE_x)
& iext(uri_ex_hasAncestor,uri_ex_alice,BNODE_x) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [BNODE_z] :
( iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob)
& iext(uri_owl_minCardinality,BNODE_z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
& iext(uri_owl_onProperty,BNODE_z,uri_ex_hasAncestor)
& iext(uri_rdf_type,BNODE_z,uri_owl_Restriction)
& iext(uri_rdf_type,uri_ex_alice,uri_ex_Person)
& iext(uri_rdf_type,uri_ex_bob,uri_ex_Person)
& iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty)
& iext(uri_rdfs_subClassOf,uri_ex_Person,BNODE_z) ),
inference(canonicalize,[],[testcase_premise_fullish_024_Cardinality_Restrictions_on_Complex_Properties]) ).
fof(normalize_0_1,plain,
( iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob)
& iext(uri_owl_minCardinality,skolemFOFtoCNF_BNODE_z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
& iext(uri_owl_onProperty,skolemFOFtoCNF_BNODE_z,uri_ex_hasAncestor)
& iext(uri_rdf_type,skolemFOFtoCNF_BNODE_z,uri_owl_Restriction)
& iext(uri_rdf_type,uri_ex_alice,uri_ex_Person)
& iext(uri_rdf_type,uri_ex_bob,uri_ex_Person)
& iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty)
& iext(uri_rdfs_subClassOf,uri_ex_Person,skolemFOFtoCNF_BNODE_z) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [P] :
( ~ icext(uri_owl_TransitiveProperty,P)
<=> ( ~ ip(P)
| ? [X,Y,Z] :
( ~ iext(P,X,Z)
& iext(P,X,Y)
& iext(P,Y,Z) ) ) ),
inference(canonicalize,[],[owl_char_transitive]) ).
fof(normalize_0_4,plain,
! [P] :
( ~ icext(uri_owl_TransitiveProperty,P)
<=> ( ~ ip(P)
| ? [X,Y,Z] :
( ~ iext(P,X,Z)
& iext(P,X,Y)
& iext(P,Y,Z) ) ) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [P,X,Y,Z] :
( ( ~ icext(uri_owl_TransitiveProperty,P)
| ip(P) )
& ( ~ iext(P,skolemFOFtoCNF_X_1(P),skolemFOFtoCNF_Z(P))
| ~ ip(P)
| icext(uri_owl_TransitiveProperty,P) )
& ( ~ ip(P)
| icext(uri_owl_TransitiveProperty,P)
| iext(P,skolemFOFtoCNF_X_1(P),skolemFOFtoCNF_Y_1(P)) )
& ( ~ ip(P)
| icext(uri_owl_TransitiveProperty,P)
| iext(P,skolemFOFtoCNF_Y_1(P),skolemFOFtoCNF_Z(P)) )
& ( ~ icext(uri_owl_TransitiveProperty,P)
| ~ iext(P,X,Y)
| ~ iext(P,Y,Z)
| iext(P,X,Z) ) ),
inference(clausify,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [P,X,Y,Z] :
( ~ icext(uri_owl_TransitiveProperty,P)
| ~ iext(P,X,Y)
| ~ iext(P,Y,Z)
| iext(P,X,Z) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
iext(uri_rdf_type,uri_ex_bob,uri_ex_Person),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_8,plain,
! [C,X] :
( ~ icext(C,X)
<=> ~ iext(uri_rdf_type,X,C) ),
inference(canonicalize,[],[rdfs_cext_def]) ).
fof(normalize_0_9,plain,
! [C,X] :
( ~ icext(C,X)
<=> ~ iext(uri_rdf_type,X,C) ),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,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_9]) ).
fof(normalize_0_11,plain,
! [C,X] :
( ~ iext(uri_rdf_type,X,C)
| icext(C,X) ),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
iext(uri_rdfs_subClassOf,uri_ex_Person,skolemFOFtoCNF_BNODE_z),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_13,plain,
! [C1,C2] :
( ~ iext(uri_rdfs_subClassOf,C1,C2)
<=> ( ~ ic(C1)
| ~ ic(C2)
| ? [X] :
( ~ icext(C2,X)
& icext(C1,X) ) ) ),
inference(canonicalize,[],[owl_rdfsext_subclassof]) ).
fof(normalize_0_14,plain,
! [C1,C2] :
( ~ iext(uri_rdfs_subClassOf,C1,C2)
<=> ( ~ ic(C1)
| ~ ic(C2)
| ? [X] :
( ~ icext(C2,X)
& icext(C1,X) ) ) ),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [C1,C2,X] :
( ( ~ iext(uri_rdfs_subClassOf,C1,C2)
| ic(C1) )
& ( ~ iext(uri_rdfs_subClassOf,C1,C2)
| ic(C2) )
& ( ~ icext(C1,X)
| ~ iext(uri_rdfs_subClassOf,C1,C2)
| icext(C2,X) )
& ( ~ ic(C1)
| ~ ic(C2)
| ~ icext(C2,skolemFOFtoCNF_X(C1,C2))
| iext(uri_rdfs_subClassOf,C1,C2) )
& ( ~ ic(C1)
| ~ ic(C2)
| icext(C1,skolemFOFtoCNF_X(C1,C2))
| iext(uri_rdfs_subClassOf,C1,C2) ) ),
inference(clausify,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [C1,C2,X] :
( ~ icext(C1,X)
| ~ iext(uri_rdfs_subClassOf,C1,C2)
| icext(C2,X) ),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
iext(uri_owl_onProperty,skolemFOFtoCNF_BNODE_z,uri_ex_hasAncestor),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_18,plain,
iext(uri_owl_minCardinality,skolemFOFtoCNF_BNODE_z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_19,plain,
! [P,Z] :
( ~ iext(uri_owl_minCardinality,Z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,Z,P)
| ! [X] :
( ~ icext(Z,X)
<=> ! [Y] : ~ iext(P,X,Y) ) ),
inference(canonicalize,[],[owl_restrict_mincard_001]) ).
fof(normalize_0_20,plain,
! [P,Z] :
( ~ iext(uri_owl_minCardinality,Z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,Z,P)
| ! [X] :
( ~ icext(Z,X)
<=> ! [Y] : ~ iext(P,X,Y) ) ),
inference(specialize,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [P,X,Y,Z] :
( ( ~ icext(Z,X)
| ~ iext(uri_owl_minCardinality,Z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,Z,P)
| iext(P,X,skolemFOFtoCNF_Y(P,X)) )
& ( ~ iext(P,X,Y)
| ~ iext(uri_owl_minCardinality,Z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,Z,P)
| icext(Z,X) ) ),
inference(clausify,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [P,X,Z] :
( ~ icext(Z,X)
| ~ iext(uri_owl_minCardinality,Z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,Z,P)
| iext(P,X,skolemFOFtoCNF_Y(P,X)) ),
inference(conjunct,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_24,plain,
! [BNODE_x] :
( ~ iext(uri_ex_hasAncestor,uri_ex_alice,BNODE_x)
| ~ iext(uri_ex_hasAncestor,uri_ex_bob,BNODE_x) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_25,plain,
! [BNODE_x] :
( ~ iext(uri_ex_hasAncestor,uri_ex_alice,BNODE_x)
| ~ iext(uri_ex_hasAncestor,uri_ex_bob,BNODE_x) ),
inference(specialize,[],[normalize_0_24]) ).
cnf(refute_0_0,plain,
iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ icext(uri_owl_TransitiveProperty,P)
| ~ iext(P,X,Y)
| ~ iext(P,Y,Z)
| iext(P,X,Z) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_2,plain,
( ~ icext(uri_owl_TransitiveProperty,uri_ex_hasAncestor)
| ~ iext(uri_ex_hasAncestor,X,uri_ex_bob)
| ~ iext(uri_ex_hasAncestor,uri_ex_bob,skolemFOFtoCNF_Y(uri_ex_hasAncestor,uri_ex_bob))
| iext(uri_ex_hasAncestor,X,skolemFOFtoCNF_Y(uri_ex_hasAncestor,uri_ex_bob)) ),
inference(subst,[],[refute_0_1:[bind(P,$fot(uri_ex_hasAncestor)),bind(Y,$fot(uri_ex_bob)),bind(Z,$fot(skolemFOFtoCNF_Y(uri_ex_hasAncestor,uri_ex_bob)))]]) ).
cnf(refute_0_3,plain,
iext(uri_rdf_type,uri_ex_bob,uri_ex_Person),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_4,plain,
( ~ iext(uri_rdf_type,X,C)
| icext(C,X) ),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_5,plain,
( ~ iext(uri_rdf_type,uri_ex_bob,uri_ex_Person)
| icext(uri_ex_Person,uri_ex_bob) ),
inference(subst,[],[refute_0_4:[bind(C,$fot(uri_ex_Person)),bind(X,$fot(uri_ex_bob))]]) ).
cnf(refute_0_6,plain,
icext(uri_ex_Person,uri_ex_bob),
inference(resolve,[$cnf( iext(uri_rdf_type,uri_ex_bob,uri_ex_Person) )],[refute_0_3,refute_0_5]) ).
cnf(refute_0_7,plain,
iext(uri_rdfs_subClassOf,uri_ex_Person,skolemFOFtoCNF_BNODE_z),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_8,plain,
( ~ icext(C1,X)
| ~ iext(uri_rdfs_subClassOf,C1,C2)
| icext(C2,X) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_9,plain,
( ~ icext(uri_ex_Person,X_18)
| ~ iext(uri_rdfs_subClassOf,uri_ex_Person,skolemFOFtoCNF_BNODE_z)
| icext(skolemFOFtoCNF_BNODE_z,X_18) ),
inference(subst,[],[refute_0_8:[bind(C1,$fot(uri_ex_Person)),bind(C2,$fot(skolemFOFtoCNF_BNODE_z)),bind(X,$fot(X_18))]]) ).
cnf(refute_0_10,plain,
( ~ icext(uri_ex_Person,X_18)
| icext(skolemFOFtoCNF_BNODE_z,X_18) ),
inference(resolve,[$cnf( iext(uri_rdfs_subClassOf,uri_ex_Person,skolemFOFtoCNF_BNODE_z) )],[refute_0_7,refute_0_9]) ).
cnf(refute_0_11,plain,
( ~ icext(uri_ex_Person,uri_ex_bob)
| icext(skolemFOFtoCNF_BNODE_z,uri_ex_bob) ),
inference(subst,[],[refute_0_10:[bind(X_18,$fot(uri_ex_bob))]]) ).
cnf(refute_0_12,plain,
icext(skolemFOFtoCNF_BNODE_z,uri_ex_bob),
inference(resolve,[$cnf( icext(uri_ex_Person,uri_ex_bob) )],[refute_0_6,refute_0_11]) ).
cnf(refute_0_13,plain,
iext(uri_owl_onProperty,skolemFOFtoCNF_BNODE_z,uri_ex_hasAncestor),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_14,plain,
iext(uri_owl_minCardinality,skolemFOFtoCNF_BNODE_z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_15,plain,
( ~ icext(Z,X)
| ~ iext(uri_owl_minCardinality,Z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,Z,P)
| iext(P,X,skolemFOFtoCNF_Y(P,X)) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_16,plain,
( ~ icext(skolemFOFtoCNF_BNODE_z,X_54)
| ~ iext(uri_owl_minCardinality,skolemFOFtoCNF_BNODE_z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,skolemFOFtoCNF_BNODE_z,X_53)
| iext(X_53,X_54,skolemFOFtoCNF_Y(X_53,X_54)) ),
inference(subst,[],[refute_0_15:[bind(P,$fot(X_53)),bind(X,$fot(X_54)),bind(Z,$fot(skolemFOFtoCNF_BNODE_z))]]) ).
cnf(refute_0_17,plain,
( ~ icext(skolemFOFtoCNF_BNODE_z,X_54)
| ~ iext(uri_owl_onProperty,skolemFOFtoCNF_BNODE_z,X_53)
| iext(X_53,X_54,skolemFOFtoCNF_Y(X_53,X_54)) ),
inference(resolve,[$cnf( iext(uri_owl_minCardinality,skolemFOFtoCNF_BNODE_z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) )],[refute_0_14,refute_0_16]) ).
cnf(refute_0_18,plain,
( ~ icext(skolemFOFtoCNF_BNODE_z,X_57)
| ~ iext(uri_owl_onProperty,skolemFOFtoCNF_BNODE_z,uri_ex_hasAncestor)
| iext(uri_ex_hasAncestor,X_57,skolemFOFtoCNF_Y(uri_ex_hasAncestor,X_57)) ),
inference(subst,[],[refute_0_17:[bind(X_53,$fot(uri_ex_hasAncestor)),bind(X_54,$fot(X_57))]]) ).
cnf(refute_0_19,plain,
( ~ icext(skolemFOFtoCNF_BNODE_z,X_57)
| iext(uri_ex_hasAncestor,X_57,skolemFOFtoCNF_Y(uri_ex_hasAncestor,X_57)) ),
inference(resolve,[$cnf( iext(uri_owl_onProperty,skolemFOFtoCNF_BNODE_z,uri_ex_hasAncestor) )],[refute_0_13,refute_0_18]) ).
cnf(refute_0_20,plain,
( ~ icext(skolemFOFtoCNF_BNODE_z,uri_ex_bob)
| iext(uri_ex_hasAncestor,uri_ex_bob,skolemFOFtoCNF_Y(uri_ex_hasAncestor,uri_ex_bob)) ),
inference(subst,[],[refute_0_19:[bind(X_57,$fot(uri_ex_bob))]]) ).
cnf(refute_0_21,plain,
iext(uri_ex_hasAncestor,uri_ex_bob,skolemFOFtoCNF_Y(uri_ex_hasAncestor,uri_ex_bob)),
inference(resolve,[$cnf( icext(skolemFOFtoCNF_BNODE_z,uri_ex_bob) )],[refute_0_12,refute_0_20]) ).
cnf(refute_0_22,plain,
( ~ icext(uri_owl_TransitiveProperty,uri_ex_hasAncestor)
| ~ iext(uri_ex_hasAncestor,X,uri_ex_bob)
| iext(uri_ex_hasAncestor,X,skolemFOFtoCNF_Y(uri_ex_hasAncestor,uri_ex_bob)) ),
inference(resolve,[$cnf( iext(uri_ex_hasAncestor,uri_ex_bob,skolemFOFtoCNF_Y(uri_ex_hasAncestor,uri_ex_bob)) )],[refute_0_21,refute_0_2]) ).
cnf(refute_0_23,plain,
iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_24,plain,
( ~ iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty)
| icext(uri_owl_TransitiveProperty,uri_ex_hasAncestor) ),
inference(subst,[],[refute_0_4:[bind(C,$fot(uri_owl_TransitiveProperty)),bind(X,$fot(uri_ex_hasAncestor))]]) ).
cnf(refute_0_25,plain,
icext(uri_owl_TransitiveProperty,uri_ex_hasAncestor),
inference(resolve,[$cnf( iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
( ~ iext(uri_ex_hasAncestor,X,uri_ex_bob)
| iext(uri_ex_hasAncestor,X,skolemFOFtoCNF_Y(uri_ex_hasAncestor,uri_ex_bob)) ),
inference(resolve,[$cnf( icext(uri_owl_TransitiveProperty,uri_ex_hasAncestor) )],[refute_0_25,refute_0_22]) ).
cnf(refute_0_27,plain,
( ~ iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob)
| iext(uri_ex_hasAncestor,uri_ex_alice,skolemFOFtoCNF_Y(uri_ex_hasAncestor,uri_ex_bob)) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(uri_ex_alice))]]) ).
cnf(refute_0_28,plain,
iext(uri_ex_hasAncestor,uri_ex_alice,skolemFOFtoCNF_Y(uri_ex_hasAncestor,uri_ex_bob)),
inference(resolve,[$cnf( iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob) )],[refute_0_0,refute_0_27]) ).
cnf(refute_0_29,plain,
( ~ iext(uri_ex_hasAncestor,uri_ex_alice,BNODE_x)
| ~ iext(uri_ex_hasAncestor,uri_ex_bob,BNODE_x) ),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_30,plain,
( ~ iext(uri_ex_hasAncestor,uri_ex_alice,skolemFOFtoCNF_Y(uri_ex_hasAncestor,uri_ex_bob))
| ~ iext(uri_ex_hasAncestor,uri_ex_bob,skolemFOFtoCNF_Y(uri_ex_hasAncestor,uri_ex_bob)) ),
inference(subst,[],[refute_0_29:[bind(BNODE_x,$fot(skolemFOFtoCNF_Y(uri_ex_hasAncestor,uri_ex_bob)))]]) ).
cnf(refute_0_31,plain,
~ iext(uri_ex_hasAncestor,uri_ex_alice,skolemFOFtoCNF_Y(uri_ex_hasAncestor,uri_ex_bob)),
inference(resolve,[$cnf( iext(uri_ex_hasAncestor,uri_ex_bob,skolemFOFtoCNF_Y(uri_ex_hasAncestor,uri_ex_bob)) )],[refute_0_21,refute_0_30]) ).
cnf(refute_0_32,plain,
$false,
inference(resolve,[$cnf( iext(uri_ex_hasAncestor,uri_ex_alice,skolemFOFtoCNF_Y(uri_ex_hasAncestor,uri_ex_bob)) )],[refute_0_28,refute_0_31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SWB024+2 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Wed Jun 1 00:20:26 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.38 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38
% 0.13/0.38 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.13/0.38
%------------------------------------------------------------------------------