TSTP Solution File: SWB016+2 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWB016+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n029.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 19:15:23 EDT 2022
% Result : Theorem 0.18s 0.45s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 11
% Syntax : Number of formulae : 95 ( 23 unt; 0 def)
% Number of atoms : 286 ( 0 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 336 ( 145 ~; 139 |; 30 &)
% ( 18 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 124 ( 3 sgn 86 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(rdf_type_ip,axiom,
! [P] :
( iext(uri_rdf_type,P,uri_rdf_Property)
<=> ip(P) ) ).
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(rdfs_domain_domain,axiom,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property) ).
fof(rdfs_subclassof_domain,axiom,
iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class) ).
fof(owl_prop_equivalentclass_type,axiom,
ip(uri_owl_equivalentClass) ).
fof(owl_prop_equivalentclass_ext,axiom,
! [X,Y] :
( iext(uri_owl_equivalentClass,X,Y)
=> ( ic(X)
& ic(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_rdfsext_subpropertyof,axiom,
! [P1,P2] :
( iext(uri_rdfs_subPropertyOf,P1,P2)
<=> ( ip(P1)
& ip(P2)
& ! [X,Y] :
( iext(P1,X,Y)
=> iext(P2,X,Y) ) ) ) ).
fof(owl_eqdis_equivalentclass,axiom,
! [C1,C2] :
( iext(uri_owl_equivalentClass,C1,C2)
<=> ( ic(C1)
& ic(C2)
& ! [X] :
( icext(C1,X)
<=> icext(C2,X) ) ) ) ).
fof(testcase_conclusion_fullish_016_Reflective_Tautologies_II,conjecture,
iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf) ).
fof(subgoal_0,plain,
iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
inference(strip,[],[testcase_conclusion_fullish_016_Reflective_Tautologies_II]) ).
fof(negate_0_0,plain,
~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [P1,P2] :
( ~ iext(uri_rdfs_subPropertyOf,P1,P2)
<=> ( ~ ip(P1)
| ~ ip(P2)
| ? [X,Y] :
( ~ iext(P2,X,Y)
& iext(P1,X,Y) ) ) ),
inference(canonicalize,[],[owl_rdfsext_subpropertyof]) ).
fof(normalize_0_1,plain,
! [P1,P2] :
( ~ iext(uri_rdfs_subPropertyOf,P1,P2)
<=> ( ~ ip(P1)
| ~ ip(P2)
| ? [X,Y] :
( ~ iext(P2,X,Y)
& iext(P1,X,Y) ) ) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [P1,P2,X,Y] :
( ( ~ iext(uri_rdfs_subPropertyOf,P1,P2)
| ip(P1) )
& ( ~ iext(uri_rdfs_subPropertyOf,P1,P2)
| ip(P2) )
& ( ~ iext(P1,X,Y)
| ~ iext(uri_rdfs_subPropertyOf,P1,P2)
| iext(P2,X,Y) )
& ( ~ iext(P2,skolemFOFtoCNF_X_1(P1,P2),skolemFOFtoCNF_Y(P1,P2))
| ~ ip(P1)
| ~ ip(P2)
| iext(uri_rdfs_subPropertyOf,P1,P2) )
& ( ~ ip(P1)
| ~ ip(P2)
| iext(P1,skolemFOFtoCNF_X_1(P1,P2),skolemFOFtoCNF_Y(P1,P2))
| iext(uri_rdfs_subPropertyOf,P1,P2) ) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [P1,P2] :
( ~ iext(P2,skolemFOFtoCNF_X_1(P1,P2),skolemFOFtoCNF_Y(P1,P2))
| ~ ip(P1)
| ~ ip(P2)
| iext(uri_rdfs_subPropertyOf,P1,P2) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,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_5,plain,
! [C1,C2] :
( ~ iext(uri_rdfs_subClassOf,C1,C2)
<=> ( ~ ic(C1)
| ~ ic(C2)
| ? [X] :
( ~ icext(C2,X)
& icext(C1,X) ) ) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,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_5]) ).
fof(normalize_0_7,plain,
! [C1,C2] :
( ~ ic(C1)
| ~ ic(C2)
| ~ icext(C2,skolemFOFtoCNF_X(C1,C2))
| iext(uri_rdfs_subClassOf,C1,C2) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [C1,C2] :
( ~ iext(uri_owl_equivalentClass,C1,C2)
<=> ( ~ ic(C1)
| ~ ic(C2)
| ? [X] :
( ~ icext(C1,X)
<=> icext(C2,X) ) ) ),
inference(canonicalize,[],[owl_eqdis_equivalentclass]) ).
fof(normalize_0_9,plain,
! [C1,C2] :
( ~ iext(uri_owl_equivalentClass,C1,C2)
<=> ( ~ ic(C1)
| ~ ic(C2)
| ? [X] :
( ~ icext(C1,X)
<=> icext(C2,X) ) ) ),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [C1,C2,X] :
( ( ~ iext(uri_owl_equivalentClass,C1,C2)
| ic(C1) )
& ( ~ iext(uri_owl_equivalentClass,C1,C2)
| ic(C2) )
& ( ~ icext(C1,X)
| ~ iext(uri_owl_equivalentClass,C1,C2)
| icext(C2,X) )
& ( ~ icext(C2,X)
| ~ iext(uri_owl_equivalentClass,C1,C2)
| icext(C1,X) )
& ( ~ ic(C1)
| ~ ic(C2)
| ~ icext(C1,skolemFOFtoCNF_X_2(C1,C2))
| ~ icext(C2,skolemFOFtoCNF_X_2(C1,C2))
| iext(uri_owl_equivalentClass,C1,C2) )
& ( ~ ic(C1)
| ~ ic(C2)
| icext(C1,skolemFOFtoCNF_X_2(C1,C2))
| icext(C2,skolemFOFtoCNF_X_2(C1,C2))
| iext(uri_owl_equivalentClass,C1,C2) ) ),
inference(clausify,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [C1,C2,X] :
( ~ icext(C1,X)
| ~ iext(uri_owl_equivalentClass,C1,C2)
| icext(C2,X) ),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
ip(uri_owl_equivalentClass),
inference(canonicalize,[],[owl_prop_equivalentclass_type]) ).
fof(normalize_0_13,plain,
! [P] :
( ~ iext(uri_rdf_type,P,uri_rdf_Property)
<=> ~ ip(P) ),
inference(canonicalize,[],[rdf_type_ip]) ).
fof(normalize_0_14,plain,
! [P] :
( ~ iext(uri_rdf_type,P,uri_rdf_Property)
<=> ~ ip(P) ),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [P] :
( ( ~ iext(uri_rdf_type,P,uri_rdf_Property)
| ip(P) )
& ( ~ ip(P)
| iext(uri_rdf_type,P,uri_rdf_Property) ) ),
inference(clausify,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [P] :
( ~ iext(uri_rdf_type,P,uri_rdf_Property)
| ip(P) ),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [C,X] :
( ~ icext(C,X)
<=> ~ iext(uri_rdf_type,X,C) ),
inference(canonicalize,[],[rdfs_cext_def]) ).
fof(normalize_0_18,plain,
! [C,X] :
( ~ icext(C,X)
<=> ~ iext(uri_rdf_type,X,C) ),
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,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_18]) ).
fof(normalize_0_20,plain,
! [C,X] :
( ~ icext(C,X)
| iext(uri_rdf_type,X,C) ),
inference(conjunct,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
inference(canonicalize,[],[rdfs_domain_domain]) ).
fof(normalize_0_22,plain,
iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class),
inference(canonicalize,[],[rdfs_subclassof_domain]) ).
fof(normalize_0_23,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_24,plain,
! [C,P,X] :
( ~ iext(uri_rdfs_domain,P,C)
| icext(C,X)
| ! [Y] : ~ iext(P,X,Y) ),
inference(specialize,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
! [C,P,X,Y] :
( ~ iext(P,X,Y)
| ~ iext(uri_rdfs_domain,P,C)
| icext(C,X) ),
inference(clausify,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
! [P1,P2] :
( ~ ip(P1)
| ~ ip(P2)
| iext(P1,skolemFOFtoCNF_X_1(P1,P2),skolemFOFtoCNF_Y(P1,P2))
| iext(uri_rdfs_subPropertyOf,P1,P2) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_27,plain,
~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_28,plain,
! [X,Y] :
( ~ iext(uri_owl_equivalentClass,X,Y)
| ( ic(X)
& ic(Y) ) ),
inference(canonicalize,[],[owl_prop_equivalentclass_ext]) ).
fof(normalize_0_29,plain,
! [X,Y] :
( ~ iext(uri_owl_equivalentClass,X,Y)
| ( ic(X)
& ic(Y) ) ),
inference(specialize,[],[normalize_0_28]) ).
fof(normalize_0_30,plain,
! [X,Y] :
( ( ~ iext(uri_owl_equivalentClass,X,Y)
| ic(X) )
& ( ~ iext(uri_owl_equivalentClass,X,Y)
| ic(Y) ) ),
inference(clausify,[],[normalize_0_29]) ).
fof(normalize_0_31,plain,
! [X,Y] :
( ~ iext(uri_owl_equivalentClass,X,Y)
| ic(X) ),
inference(conjunct,[],[normalize_0_30]) ).
fof(normalize_0_32,plain,
! [C1,C2] :
( ~ ic(C1)
| ~ ic(C2)
| icext(C1,skolemFOFtoCNF_X(C1,C2))
| iext(uri_rdfs_subClassOf,C1,C2) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_33,plain,
! [X,Y] :
( ~ iext(uri_owl_equivalentClass,X,Y)
| ic(Y) ),
inference(conjunct,[],[normalize_0_30]) ).
cnf(refute_0_0,plain,
( ~ iext(P2,skolemFOFtoCNF_X_1(P1,P2),skolemFOFtoCNF_Y(P1,P2))
| ~ ip(P1)
| ~ ip(P2)
| iext(uri_rdfs_subPropertyOf,P1,P2) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( ~ iext(uri_rdfs_subClassOf,skolemFOFtoCNF_X_1(uri_owl_equivalentClass,uri_rdfs_subClassOf),skolemFOFtoCNF_Y(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ~ ip(uri_owl_equivalentClass)
| ~ ip(uri_rdfs_subClassOf)
| iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf) ),
inference(subst,[],[refute_0_0:[bind(P1,$fot(uri_owl_equivalentClass)),bind(P2,$fot(uri_rdfs_subClassOf))]]) ).
cnf(refute_0_2,plain,
( ~ ic(C1)
| ~ ic(C2)
| ~ icext(C2,skolemFOFtoCNF_X(C1,C2))
| iext(uri_rdfs_subClassOf,C1,C2) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_3,plain,
( ~ ic(skolemFOFtoCNF_X_1(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ~ ic(skolemFOFtoCNF_Y(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ~ icext(skolemFOFtoCNF_Y(uri_owl_equivalentClass,uri_rdfs_subClassOf),skolemFOFtoCNF_X(skolemFOFtoCNF_X_1(uri_owl_equivalentClass,uri_rdfs_subClassOf),skolemFOFtoCNF_Y(uri_owl_equivalentClass,uri_rdfs_subClassOf)))
| iext(uri_rdfs_subClassOf,skolemFOFtoCNF_X_1(uri_owl_equivalentClass,uri_rdfs_subClassOf),skolemFOFtoCNF_Y(uri_owl_equivalentClass,uri_rdfs_subClassOf)) ),
inference(subst,[],[refute_0_2:[bind(C1,$fot(skolemFOFtoCNF_X_1(uri_owl_equivalentClass,uri_rdfs_subClassOf))),bind(C2,$fot(skolemFOFtoCNF_Y(uri_owl_equivalentClass,uri_rdfs_subClassOf)))]]) ).
cnf(refute_0_4,plain,
( ~ icext(C1,X)
| ~ iext(uri_owl_equivalentClass,C1,C2)
| icext(C2,X) ),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_5,plain,
( ~ icext(skolemFOFtoCNF_X_1(uri_owl_equivalentClass,uri_rdfs_subClassOf),X)
| ~ iext(uri_owl_equivalentClass,skolemFOFtoCNF_X_1(uri_owl_equivalentClass,uri_rdfs_subClassOf),skolemFOFtoCNF_Y(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| icext(skolemFOFtoCNF_Y(uri_owl_equivalentClass,uri_rdfs_subClassOf),X) ),
inference(subst,[],[refute_0_4:[bind(C1,$fot(skolemFOFtoCNF_X_1(uri_owl_equivalentClass,uri_rdfs_subClassOf))),bind(C2,$fot(skolemFOFtoCNF_Y(uri_owl_equivalentClass,uri_rdfs_subClassOf)))]]) ).
cnf(refute_0_6,plain,
ip(uri_owl_equivalentClass),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_7,plain,
( ~ iext(uri_rdf_type,P,uri_rdf_Property)
| ip(P) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_8,plain,
( ~ iext(uri_rdf_type,uri_rdfs_subClassOf,uri_rdf_Property)
| ip(uri_rdfs_subClassOf) ),
inference(subst,[],[refute_0_7:[bind(P,$fot(uri_rdfs_subClassOf))]]) ).
cnf(refute_0_9,plain,
( ~ icext(C,X)
| iext(uri_rdf_type,X,C) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_10,plain,
( ~ icext(uri_rdf_Property,uri_rdfs_subClassOf)
| iext(uri_rdf_type,uri_rdfs_subClassOf,uri_rdf_Property) ),
inference(subst,[],[refute_0_9:[bind(C,$fot(uri_rdf_Property)),bind(X,$fot(uri_rdfs_subClassOf))]]) ).
cnf(refute_0_11,plain,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_12,plain,
iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_13,plain,
( ~ iext(P,X,Y)
| ~ iext(uri_rdfs_domain,P,C)
| icext(C,X) ),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_14,plain,
( ~ iext(uri_rdfs_domain,uri_rdfs_domain,X_39)
| ~ iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class)
| icext(X_39,uri_rdfs_subClassOf) ),
inference(subst,[],[refute_0_13:[bind(C,$fot(X_39)),bind(P,$fot(uri_rdfs_domain)),bind(X,$fot(uri_rdfs_subClassOf)),bind(Y,$fot(uri_rdfs_Class))]]) ).
cnf(refute_0_15,plain,
( ~ iext(uri_rdfs_domain,uri_rdfs_domain,X_39)
| icext(X_39,uri_rdfs_subClassOf) ),
inference(resolve,[$cnf( iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class) )],[refute_0_12,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property)
| icext(uri_rdf_Property,uri_rdfs_subClassOf) ),
inference(subst,[],[refute_0_15:[bind(X_39,$fot(uri_rdf_Property))]]) ).
cnf(refute_0_17,plain,
icext(uri_rdf_Property,uri_rdfs_subClassOf),
inference(resolve,[$cnf( iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property) )],[refute_0_11,refute_0_16]) ).
cnf(refute_0_18,plain,
iext(uri_rdf_type,uri_rdfs_subClassOf,uri_rdf_Property),
inference(resolve,[$cnf( icext(uri_rdf_Property,uri_rdfs_subClassOf) )],[refute_0_17,refute_0_10]) ).
cnf(refute_0_19,plain,
ip(uri_rdfs_subClassOf),
inference(resolve,[$cnf( iext(uri_rdf_type,uri_rdfs_subClassOf,uri_rdf_Property) )],[refute_0_18,refute_0_8]) ).
cnf(refute_0_20,plain,
( ~ ip(P1)
| ~ ip(P2)
| iext(P1,skolemFOFtoCNF_X_1(P1,P2),skolemFOFtoCNF_Y(P1,P2))
| iext(uri_rdfs_subPropertyOf,P1,P2) ),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_21,plain,
( ~ ip(X_77)
| ~ ip(uri_rdfs_subClassOf)
| iext(X_77,skolemFOFtoCNF_X_1(X_77,uri_rdfs_subClassOf),skolemFOFtoCNF_Y(X_77,uri_rdfs_subClassOf))
| iext(uri_rdfs_subPropertyOf,X_77,uri_rdfs_subClassOf) ),
inference(subst,[],[refute_0_20:[bind(P1,$fot(X_77)),bind(P2,$fot(uri_rdfs_subClassOf))]]) ).
cnf(refute_0_22,plain,
( ~ ip(X_77)
| iext(X_77,skolemFOFtoCNF_X_1(X_77,uri_rdfs_subClassOf),skolemFOFtoCNF_Y(X_77,uri_rdfs_subClassOf))
| iext(uri_rdfs_subPropertyOf,X_77,uri_rdfs_subClassOf) ),
inference(resolve,[$cnf( ip(uri_rdfs_subClassOf) )],[refute_0_19,refute_0_21]) ).
cnf(refute_0_23,plain,
( ~ ip(uri_owl_equivalentClass)
| iext(uri_owl_equivalentClass,skolemFOFtoCNF_X_1(uri_owl_equivalentClass,uri_rdfs_subClassOf),skolemFOFtoCNF_Y(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf) ),
inference(subst,[],[refute_0_22:[bind(X_77,$fot(uri_owl_equivalentClass))]]) ).
cnf(refute_0_24,plain,
( iext(uri_owl_equivalentClass,skolemFOFtoCNF_X_1(uri_owl_equivalentClass,uri_rdfs_subClassOf),skolemFOFtoCNF_Y(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf) ),
inference(resolve,[$cnf( ip(uri_owl_equivalentClass) )],[refute_0_6,refute_0_23]) ).
cnf(refute_0_25,plain,
~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_26,plain,
iext(uri_owl_equivalentClass,skolemFOFtoCNF_X_1(uri_owl_equivalentClass,uri_rdfs_subClassOf),skolemFOFtoCNF_Y(uri_owl_equivalentClass,uri_rdfs_subClassOf)),
inference(resolve,[$cnf( iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
( ~ icext(skolemFOFtoCNF_X_1(uri_owl_equivalentClass,uri_rdfs_subClassOf),X)
| icext(skolemFOFtoCNF_Y(uri_owl_equivalentClass,uri_rdfs_subClassOf),X) ),
inference(resolve,[$cnf( iext(uri_owl_equivalentClass,skolemFOFtoCNF_X_1(uri_owl_equivalentClass,uri_rdfs_subClassOf),skolemFOFtoCNF_Y(uri_owl_equivalentClass,uri_rdfs_subClassOf)) )],[refute_0_26,refute_0_5]) ).
cnf(refute_0_28,plain,
( ~ icext(skolemFOFtoCNF_X_1(uri_owl_equivalentClass,uri_rdfs_subClassOf),skolemFOFtoCNF_X(skolemFOFtoCNF_X_1(uri_owl_equivalentClass,uri_rdfs_subClassOf),skolemFOFtoCNF_Y(uri_owl_equivalentClass,uri_rdfs_subClassOf)))
| icext(skolemFOFtoCNF_Y(uri_owl_equivalentClass,uri_rdfs_subClassOf),skolemFOFtoCNF_X(skolemFOFtoCNF_X_1(uri_owl_equivalentClass,uri_rdfs_subClassOf),skolemFOFtoCNF_Y(uri_owl_equivalentClass,uri_rdfs_subClassOf))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(skolemFOFtoCNF_X(skolemFOFtoCNF_X_1(uri_owl_equivalentClass,uri_rdfs_subClassOf),skolemFOFtoCNF_Y(uri_owl_equivalentClass,uri_rdfs_subClassOf))))]]) ).
cnf(refute_0_29,plain,
( ~ iext(uri_owl_equivalentClass,X,Y)
| ic(X) ),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_30,plain,
( ~ iext(uri_owl_equivalentClass,skolemFOFtoCNF_X_1(uri_owl_equivalentClass,uri_rdfs_subClassOf),skolemFOFtoCNF_Y(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ic(skolemFOFtoCNF_X_1(uri_owl_equivalentClass,uri_rdfs_subClassOf)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(skolemFOFtoCNF_X_1(uri_owl_equivalentClass,uri_rdfs_subClassOf))),bind(Y,$fot(skolemFOFtoCNF_Y(uri_owl_equivalentClass,uri_rdfs_subClassOf)))]]) ).
cnf(refute_0_31,plain,
ic(skolemFOFtoCNF_X_1(uri_owl_equivalentClass,uri_rdfs_subClassOf)),
inference(resolve,[$cnf( iext(uri_owl_equivalentClass,skolemFOFtoCNF_X_1(uri_owl_equivalentClass,uri_rdfs_subClassOf),skolemFOFtoCNF_Y(uri_owl_equivalentClass,uri_rdfs_subClassOf)) )],[refute_0_26,refute_0_30]) ).
cnf(refute_0_32,plain,
( ~ ic(C1)
| ~ ic(C2)
| icext(C1,skolemFOFtoCNF_X(C1,C2))
| iext(uri_rdfs_subClassOf,C1,C2) ),
inference(canonicalize,[],[normalize_0_32]) ).
cnf(refute_0_33,plain,
( ~ ic(C1)
| ~ ic(skolemFOFtoCNF_Y(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| icext(C1,skolemFOFtoCNF_X(C1,skolemFOFtoCNF_Y(uri_owl_equivalentClass,uri_rdfs_subClassOf)))
| iext(uri_rdfs_subClassOf,C1,skolemFOFtoCNF_Y(uri_owl_equivalentClass,uri_rdfs_subClassOf)) ),
inference(subst,[],[refute_0_32:[bind(C2,$fot(skolemFOFtoCNF_Y(uri_owl_equivalentClass,uri_rdfs_subClassOf)))]]) ).
cnf(refute_0_34,plain,
( ~ iext(uri_owl_equivalentClass,X,Y)
| ic(Y) ),
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_35,plain,
( ~ iext(uri_owl_equivalentClass,skolemFOFtoCNF_X_1(uri_owl_equivalentClass,uri_rdfs_subClassOf),skolemFOFtoCNF_Y(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ic(skolemFOFtoCNF_Y(uri_owl_equivalentClass,uri_rdfs_subClassOf)) ),
inference(subst,[],[refute_0_34:[bind(X,$fot(skolemFOFtoCNF_X_1(uri_owl_equivalentClass,uri_rdfs_subClassOf))),bind(Y,$fot(skolemFOFtoCNF_Y(uri_owl_equivalentClass,uri_rdfs_subClassOf)))]]) ).
cnf(refute_0_36,plain,
ic(skolemFOFtoCNF_Y(uri_owl_equivalentClass,uri_rdfs_subClassOf)),
inference(resolve,[$cnf( iext(uri_owl_equivalentClass,skolemFOFtoCNF_X_1(uri_owl_equivalentClass,uri_rdfs_subClassOf),skolemFOFtoCNF_Y(uri_owl_equivalentClass,uri_rdfs_subClassOf)) )],[refute_0_26,refute_0_35]) ).
cnf(refute_0_37,plain,
( ~ ic(C1)
| icext(C1,skolemFOFtoCNF_X(C1,skolemFOFtoCNF_Y(uri_owl_equivalentClass,uri_rdfs_subClassOf)))
| iext(uri_rdfs_subClassOf,C1,skolemFOFtoCNF_Y(uri_owl_equivalentClass,uri_rdfs_subClassOf)) ),
inference(resolve,[$cnf( ic(skolemFOFtoCNF_Y(uri_owl_equivalentClass,uri_rdfs_subClassOf)) )],[refute_0_36,refute_0_33]) ).
cnf(refute_0_38,plain,
( ~ ic(skolemFOFtoCNF_X_1(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| icext(skolemFOFtoCNF_X_1(uri_owl_equivalentClass,uri_rdfs_subClassOf),skolemFOFtoCNF_X(skolemFOFtoCNF_X_1(uri_owl_equivalentClass,uri_rdfs_subClassOf),skolemFOFtoCNF_Y(uri_owl_equivalentClass,uri_rdfs_subClassOf)))
| iext(uri_rdfs_subClassOf,skolemFOFtoCNF_X_1(uri_owl_equivalentClass,uri_rdfs_subClassOf),skolemFOFtoCNF_Y(uri_owl_equivalentClass,uri_rdfs_subClassOf)) ),
inference(subst,[],[refute_0_37:[bind(C1,$fot(skolemFOFtoCNF_X_1(uri_owl_equivalentClass,uri_rdfs_subClassOf)))]]) ).
cnf(refute_0_39,plain,
( icext(skolemFOFtoCNF_X_1(uri_owl_equivalentClass,uri_rdfs_subClassOf),skolemFOFtoCNF_X(skolemFOFtoCNF_X_1(uri_owl_equivalentClass,uri_rdfs_subClassOf),skolemFOFtoCNF_Y(uri_owl_equivalentClass,uri_rdfs_subClassOf)))
| iext(uri_rdfs_subClassOf,skolemFOFtoCNF_X_1(uri_owl_equivalentClass,uri_rdfs_subClassOf),skolemFOFtoCNF_Y(uri_owl_equivalentClass,uri_rdfs_subClassOf)) ),
inference(resolve,[$cnf( ic(skolemFOFtoCNF_X_1(uri_owl_equivalentClass,uri_rdfs_subClassOf)) )],[refute_0_31,refute_0_38]) ).
cnf(refute_0_40,plain,
( icext(skolemFOFtoCNF_Y(uri_owl_equivalentClass,uri_rdfs_subClassOf),skolemFOFtoCNF_X(skolemFOFtoCNF_X_1(uri_owl_equivalentClass,uri_rdfs_subClassOf),skolemFOFtoCNF_Y(uri_owl_equivalentClass,uri_rdfs_subClassOf)))
| iext(uri_rdfs_subClassOf,skolemFOFtoCNF_X_1(uri_owl_equivalentClass,uri_rdfs_subClassOf),skolemFOFtoCNF_Y(uri_owl_equivalentClass,uri_rdfs_subClassOf)) ),
inference(resolve,[$cnf( icext(skolemFOFtoCNF_X_1(uri_owl_equivalentClass,uri_rdfs_subClassOf),skolemFOFtoCNF_X(skolemFOFtoCNF_X_1(uri_owl_equivalentClass,uri_rdfs_subClassOf),skolemFOFtoCNF_Y(uri_owl_equivalentClass,uri_rdfs_subClassOf))) )],[refute_0_39,refute_0_28]) ).
cnf(refute_0_41,plain,
( ~ ic(skolemFOFtoCNF_X_1(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ~ ic(skolemFOFtoCNF_Y(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| iext(uri_rdfs_subClassOf,skolemFOFtoCNF_X_1(uri_owl_equivalentClass,uri_rdfs_subClassOf),skolemFOFtoCNF_Y(uri_owl_equivalentClass,uri_rdfs_subClassOf)) ),
inference(resolve,[$cnf( icext(skolemFOFtoCNF_Y(uri_owl_equivalentClass,uri_rdfs_subClassOf),skolemFOFtoCNF_X(skolemFOFtoCNF_X_1(uri_owl_equivalentClass,uri_rdfs_subClassOf),skolemFOFtoCNF_Y(uri_owl_equivalentClass,uri_rdfs_subClassOf))) )],[refute_0_40,refute_0_3]) ).
cnf(refute_0_42,plain,
( ~ ic(skolemFOFtoCNF_Y(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| iext(uri_rdfs_subClassOf,skolemFOFtoCNF_X_1(uri_owl_equivalentClass,uri_rdfs_subClassOf),skolemFOFtoCNF_Y(uri_owl_equivalentClass,uri_rdfs_subClassOf)) ),
inference(resolve,[$cnf( ic(skolemFOFtoCNF_X_1(uri_owl_equivalentClass,uri_rdfs_subClassOf)) )],[refute_0_31,refute_0_41]) ).
cnf(refute_0_43,plain,
iext(uri_rdfs_subClassOf,skolemFOFtoCNF_X_1(uri_owl_equivalentClass,uri_rdfs_subClassOf),skolemFOFtoCNF_Y(uri_owl_equivalentClass,uri_rdfs_subClassOf)),
inference(resolve,[$cnf( ic(skolemFOFtoCNF_Y(uri_owl_equivalentClass,uri_rdfs_subClassOf)) )],[refute_0_36,refute_0_42]) ).
cnf(refute_0_44,plain,
( ~ ip(uri_owl_equivalentClass)
| ~ ip(uri_rdfs_subClassOf)
| iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf) ),
inference(resolve,[$cnf( iext(uri_rdfs_subClassOf,skolemFOFtoCNF_X_1(uri_owl_equivalentClass,uri_rdfs_subClassOf),skolemFOFtoCNF_Y(uri_owl_equivalentClass,uri_rdfs_subClassOf)) )],[refute_0_43,refute_0_1]) ).
cnf(refute_0_45,plain,
( ~ ip(uri_rdfs_subClassOf)
| iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf) ),
inference(resolve,[$cnf( ip(uri_owl_equivalentClass) )],[refute_0_6,refute_0_44]) ).
cnf(refute_0_46,plain,
iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
inference(resolve,[$cnf( ip(uri_rdfs_subClassOf) )],[refute_0_19,refute_0_45]) ).
cnf(refute_0_47,plain,
$false,
inference(resolve,[$cnf( iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf) )],[refute_0_46,refute_0_25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWB016+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 : n029.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 03:41:30 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.45 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45
% 0.18/0.45 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.18/0.46
%------------------------------------------------------------------------------