TSTP Solution File: SWB026+2 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWB026+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n024.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 19:15:29 EDT 2022
% Result : Theorem 0.12s 0.38s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 11
% Syntax : Number of formulae : 97 ( 25 unt; 0 def)
% Number of atoms : 284 ( 44 equ)
% Maximal formula atoms : 26 ( 2 avg)
% Number of connectives : 317 ( 130 ~; 129 |; 40 &)
% ( 15 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 16 con; 0-2 aty)
% Number of variables : 112 ( 5 sgn 62 !; 16 ?)
% 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(owl_enum_class_001,axiom,
! [Z,S1,A1] :
( ( iext(uri_rdf_first,S1,A1)
& iext(uri_rdf_rest,S1,uri_rdf_nil) )
=> ( iext(uri_owl_oneOf,Z,S1)
<=> ( ic(Z)
& ! [X] :
( icext(Z,X)
<=> X = A1 ) ) ) ) ).
fof(owl_char_inversefunctional,axiom,
! [P] :
( icext(uri_owl_InverseFunctionalProperty,P)
<=> ( ip(P)
& ! [X1,X2,Y] :
( ( iext(P,X1,Y)
& iext(P,X2,Y) )
=> X1 = X2 ) ) ) ).
fof(testcase_conclusion_fullish_026_Inferred_Property_Characteristics_I,conjecture,
iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty) ).
fof(testcase_premise_fullish_026_Inferred_Property_Characteristics_I,axiom,
? [BNODE_x1,BNODE_x2,BNODE_l1,BNODE_l2] :
( iext(uri_rdfs_domain,uri_ex_p,BNODE_x1)
& iext(uri_owl_oneOf,BNODE_x1,BNODE_l1)
& iext(uri_rdf_first,BNODE_l1,uri_ex_w)
& iext(uri_rdf_rest,BNODE_l1,uri_rdf_nil)
& iext(uri_rdfs_range,uri_ex_p,BNODE_x2)
& iext(uri_owl_oneOf,BNODE_x2,BNODE_l2)
& iext(uri_rdf_first,BNODE_l2,uri_ex_u)
& iext(uri_rdf_rest,BNODE_l2,uri_rdf_nil) ) ).
fof(subgoal_0,plain,
iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(strip,[],[testcase_conclusion_fullish_026_Inferred_Property_Characteristics_I]) ).
fof(negate_0_0,plain,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [C,X] :
( ~ icext(C,X)
<=> ~ iext(uri_rdf_type,X,C) ),
inference(canonicalize,[],[rdfs_cext_def]) ).
fof(normalize_0_1,plain,
! [C,X] :
( ~ icext(C,X)
<=> ~ iext(uri_rdf_type,X,C) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,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_1]) ).
fof(normalize_0_3,plain,
! [C,X] :
( ~ icext(C,X)
| iext(uri_rdf_type,X,C) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [P] :
( ~ icext(uri_owl_InverseFunctionalProperty,P)
<=> ( ~ ip(P)
| ? [X1,X2,Y] :
( X1 != X2
& iext(P,X1,Y)
& iext(P,X2,Y) ) ) ),
inference(canonicalize,[],[owl_char_inversefunctional]) ).
fof(normalize_0_5,plain,
! [P] :
( ~ icext(uri_owl_InverseFunctionalProperty,P)
<=> ( ~ ip(P)
| ? [X1,X2,Y] :
( X1 != X2
& iext(P,X1,Y)
& iext(P,X2,Y) ) ) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [P,X1,X2,Y] :
( ( ~ icext(uri_owl_InverseFunctionalProperty,P)
| ip(P) )
& ( skolemFOFtoCNF_X1(P) != skolemFOFtoCNF_X2(P)
| ~ ip(P)
| icext(uri_owl_InverseFunctionalProperty,P) )
& ( ~ ip(P)
| icext(uri_owl_InverseFunctionalProperty,P)
| iext(P,skolemFOFtoCNF_X1(P),skolemFOFtoCNF_Y(P)) )
& ( ~ ip(P)
| icext(uri_owl_InverseFunctionalProperty,P)
| iext(P,skolemFOFtoCNF_X2(P),skolemFOFtoCNF_Y(P)) )
& ( ~ icext(uri_owl_InverseFunctionalProperty,P)
| ~ iext(P,X1,Y)
| ~ iext(P,X2,Y)
| X1 = X2 ) ),
inference(clausify,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [P] :
( skolemFOFtoCNF_X1(P) != skolemFOFtoCNF_X2(P)
| ~ ip(P)
| icext(uri_owl_InverseFunctionalProperty,P) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
? [BNODE_l1,BNODE_l2,BNODE_x1,BNODE_x2] :
( iext(uri_owl_oneOf,BNODE_x1,BNODE_l1)
& iext(uri_owl_oneOf,BNODE_x2,BNODE_l2)
& iext(uri_rdf_first,BNODE_l1,uri_ex_w)
& iext(uri_rdf_first,BNODE_l2,uri_ex_u)
& iext(uri_rdf_rest,BNODE_l1,uri_rdf_nil)
& iext(uri_rdf_rest,BNODE_l2,uri_rdf_nil)
& iext(uri_rdfs_domain,uri_ex_p,BNODE_x1)
& iext(uri_rdfs_range,uri_ex_p,BNODE_x2) ),
inference(canonicalize,[],[testcase_premise_fullish_026_Inferred_Property_Characteristics_I]) ).
fof(normalize_0_9,plain,
( iext(uri_owl_oneOf,skolemFOFtoCNF_BNODE_x1,skolemFOFtoCNF_BNODE_l1)
& iext(uri_owl_oneOf,skolemFOFtoCNF_BNODE_x2,skolemFOFtoCNF_BNODE_l2)
& iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l1,uri_ex_w)
& iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l2,uri_ex_u)
& iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l1,uri_rdf_nil)
& iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l2,uri_rdf_nil)
& iext(uri_rdfs_domain,uri_ex_p,skolemFOFtoCNF_BNODE_x1)
& iext(uri_rdfs_range,uri_ex_p,skolemFOFtoCNF_BNODE_x2) ),
inference(skolemize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
iext(uri_rdfs_domain,uri_ex_p,skolemFOFtoCNF_BNODE_x1),
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]) ).
fof(normalize_0_14,plain,
! [P] :
( ~ ip(P)
| icext(uri_owl_InverseFunctionalProperty,P)
| iext(P,skolemFOFtoCNF_X2(P),skolemFOFtoCNF_Y(P)) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_15,plain,
! [P] :
( ~ iext(uri_rdf_type,P,uri_rdf_Property)
<=> ~ ip(P) ),
inference(canonicalize,[],[rdf_type_ip]) ).
fof(normalize_0_16,plain,
! [P] :
( ~ iext(uri_rdf_type,P,uri_rdf_Property)
<=> ~ ip(P) ),
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,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_16]) ).
fof(normalize_0_18,plain,
! [P] :
( ~ iext(uri_rdf_type,P,uri_rdf_Property)
| ip(P) ),
inference(conjunct,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
inference(canonicalize,[],[rdfs_domain_domain]) ).
fof(normalize_0_20,plain,
iext(uri_owl_oneOf,skolemFOFtoCNF_BNODE_x1,skolemFOFtoCNF_BNODE_l1),
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_21,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l1,uri_ex_w),
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_22,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l1,uri_rdf_nil),
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_23,plain,
! [A1,S1,Z] :
( ~ iext(uri_rdf_first,S1,A1)
| ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
| ( ~ iext(uri_owl_oneOf,Z,S1)
<=> ( ~ ic(Z)
| ? [X] :
( X != A1
<=> icext(Z,X) ) ) ) ),
inference(canonicalize,[],[owl_enum_class_001]) ).
fof(normalize_0_24,plain,
! [A1,S1,Z] :
( ~ iext(uri_rdf_first,S1,A1)
| ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
| ( ~ iext(uri_owl_oneOf,Z,S1)
<=> ( ~ ic(Z)
| ? [X] :
( X != A1
<=> icext(Z,X) ) ) ) ),
inference(specialize,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
! [A1,S1,X,Z] :
( ( ~ iext(uri_owl_oneOf,Z,S1)
| ~ iext(uri_rdf_first,S1,A1)
| ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
| ic(Z) )
& ( X != A1
| ~ iext(uri_owl_oneOf,Z,S1)
| ~ iext(uri_rdf_first,S1,A1)
| ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
| icext(Z,X) )
& ( ~ icext(Z,X)
| ~ iext(uri_owl_oneOf,Z,S1)
| ~ iext(uri_rdf_first,S1,A1)
| ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
| X = A1 )
& ( skolemFOFtoCNF_X(A1,Z) != A1
| ~ ic(Z)
| ~ icext(Z,skolemFOFtoCNF_X(A1,Z))
| ~ iext(uri_rdf_first,S1,A1)
| ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
| iext(uri_owl_oneOf,Z,S1) )
& ( ~ ic(Z)
| ~ iext(uri_rdf_first,S1,A1)
| ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
| skolemFOFtoCNF_X(A1,Z) = A1
| icext(Z,skolemFOFtoCNF_X(A1,Z))
| iext(uri_owl_oneOf,Z,S1) ) ),
inference(clausify,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
! [A1,S1,X,Z] :
( ~ icext(Z,X)
| ~ iext(uri_owl_oneOf,Z,S1)
| ~ iext(uri_rdf_first,S1,A1)
| ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
| X = A1 ),
inference(conjunct,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_28,plain,
! [P] :
( ~ ip(P)
| icext(uri_owl_InverseFunctionalProperty,P)
| iext(P,skolemFOFtoCNF_X1(P),skolemFOFtoCNF_Y(P)) ),
inference(conjunct,[],[normalize_0_6]) ).
cnf(refute_0_0,plain,
( ~ icext(C,X)
| iext(uri_rdf_type,X,C) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( ~ icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty) ),
inference(subst,[],[refute_0_0:[bind(C,$fot(uri_owl_InverseFunctionalProperty)),bind(X,$fot(uri_ex_p))]]) ).
cnf(refute_0_2,plain,
( skolemFOFtoCNF_X1(P) != skolemFOFtoCNF_X2(P)
| ~ ip(P)
| icext(uri_owl_InverseFunctionalProperty,P) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_3,plain,
( skolemFOFtoCNF_X1(uri_ex_p) != skolemFOFtoCNF_X2(uri_ex_p)
| ~ ip(uri_ex_p)
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(subst,[],[refute_0_2:[bind(P,$fot(uri_ex_p))]]) ).
cnf(refute_0_4,plain,
iext(uri_rdfs_domain,uri_ex_p,skolemFOFtoCNF_BNODE_x1),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_5,plain,
( ~ iext(P,X,Y)
| ~ iext(uri_rdfs_domain,P,C)
| icext(C,X) ),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_6,plain,
( ~ iext(uri_ex_p,X_13,X_14)
| ~ iext(uri_rdfs_domain,uri_ex_p,skolemFOFtoCNF_BNODE_x1)
| icext(skolemFOFtoCNF_BNODE_x1,X_13) ),
inference(subst,[],[refute_0_5:[bind(C,$fot(skolemFOFtoCNF_BNODE_x1)),bind(P,$fot(uri_ex_p)),bind(X,$fot(X_13)),bind(Y,$fot(X_14))]]) ).
cnf(refute_0_7,plain,
( ~ iext(uri_ex_p,X_13,X_14)
| icext(skolemFOFtoCNF_BNODE_x1,X_13) ),
inference(resolve,[$cnf( iext(uri_rdfs_domain,uri_ex_p,skolemFOFtoCNF_BNODE_x1) )],[refute_0_4,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ iext(uri_ex_p,skolemFOFtoCNF_X2(uri_ex_p),skolemFOFtoCNF_Y(uri_ex_p))
| icext(skolemFOFtoCNF_BNODE_x1,skolemFOFtoCNF_X2(uri_ex_p)) ),
inference(subst,[],[refute_0_7:[bind(X_13,$fot(skolemFOFtoCNF_X2(uri_ex_p))),bind(X_14,$fot(skolemFOFtoCNF_Y(uri_ex_p)))]]) ).
cnf(refute_0_9,plain,
( ~ ip(P)
| icext(uri_owl_InverseFunctionalProperty,P)
| iext(P,skolemFOFtoCNF_X2(P),skolemFOFtoCNF_Y(P)) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_10,plain,
( ~ ip(uri_ex_p)
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| iext(uri_ex_p,skolemFOFtoCNF_X2(uri_ex_p),skolemFOFtoCNF_Y(uri_ex_p)) ),
inference(subst,[],[refute_0_9:[bind(P,$fot(uri_ex_p))]]) ).
cnf(refute_0_11,plain,
( ~ iext(uri_rdf_type,P,uri_rdf_Property)
| ip(P) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_12,plain,
( ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
| ip(uri_ex_p) ),
inference(subst,[],[refute_0_11:[bind(P,$fot(uri_ex_p))]]) ).
cnf(refute_0_13,plain,
( ~ icext(uri_rdf_Property,uri_ex_p)
| iext(uri_rdf_type,uri_ex_p,uri_rdf_Property) ),
inference(subst,[],[refute_0_0:[bind(C,$fot(uri_rdf_Property)),bind(X,$fot(uri_ex_p))]]) ).
cnf(refute_0_14,plain,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_15,plain,
( ~ iext(uri_rdfs_domain,X_13,X_14)
| ~ iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property)
| icext(uri_rdf_Property,X_13) ),
inference(subst,[],[refute_0_5:[bind(C,$fot(uri_rdf_Property)),bind(P,$fot(uri_rdfs_domain)),bind(X,$fot(X_13)),bind(Y,$fot(X_14))]]) ).
cnf(refute_0_16,plain,
( ~ iext(uri_rdfs_domain,X_13,X_14)
| icext(uri_rdf_Property,X_13) ),
inference(resolve,[$cnf( iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
( ~ iext(uri_rdfs_domain,uri_ex_p,skolemFOFtoCNF_BNODE_x1)
| icext(uri_rdf_Property,uri_ex_p) ),
inference(subst,[],[refute_0_16:[bind(X_13,$fot(uri_ex_p)),bind(X_14,$fot(skolemFOFtoCNF_BNODE_x1))]]) ).
cnf(refute_0_18,plain,
icext(uri_rdf_Property,uri_ex_p),
inference(resolve,[$cnf( iext(uri_rdfs_domain,uri_ex_p,skolemFOFtoCNF_BNODE_x1) )],[refute_0_4,refute_0_17]) ).
cnf(refute_0_19,plain,
iext(uri_rdf_type,uri_ex_p,uri_rdf_Property),
inference(resolve,[$cnf( icext(uri_rdf_Property,uri_ex_p) )],[refute_0_18,refute_0_13]) ).
cnf(refute_0_20,plain,
ip(uri_ex_p),
inference(resolve,[$cnf( iext(uri_rdf_type,uri_ex_p,uri_rdf_Property) )],[refute_0_19,refute_0_12]) ).
cnf(refute_0_21,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| iext(uri_ex_p,skolemFOFtoCNF_X2(uri_ex_p),skolemFOFtoCNF_Y(uri_ex_p)) ),
inference(resolve,[$cnf( ip(uri_ex_p) )],[refute_0_20,refute_0_10]) ).
cnf(refute_0_22,plain,
( icext(skolemFOFtoCNF_BNODE_x1,skolemFOFtoCNF_X2(uri_ex_p))
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(resolve,[$cnf( iext(uri_ex_p,skolemFOFtoCNF_X2(uri_ex_p),skolemFOFtoCNF_Y(uri_ex_p)) )],[refute_0_21,refute_0_8]) ).
cnf(refute_0_23,plain,
iext(uri_owl_oneOf,skolemFOFtoCNF_BNODE_x1,skolemFOFtoCNF_BNODE_l1),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_24,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l1,uri_ex_w),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_25,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l1,uri_rdf_nil),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_26,plain,
( ~ icext(Z,X)
| ~ iext(uri_owl_oneOf,Z,S1)
| ~ iext(uri_rdf_first,S1,A1)
| ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
| X = A1 ),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_27,plain,
( ~ icext(X_76,X_75)
| ~ iext(uri_owl_oneOf,X_76,skolemFOFtoCNF_BNODE_l1)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l1,X_73)
| ~ iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l1,uri_rdf_nil)
| X_75 = X_73 ),
inference(subst,[],[refute_0_26:[bind(A1,$fot(X_73)),bind(S1,$fot(skolemFOFtoCNF_BNODE_l1)),bind(X,$fot(X_75)),bind(Z,$fot(X_76))]]) ).
cnf(refute_0_28,plain,
( ~ icext(X_76,X_75)
| ~ iext(uri_owl_oneOf,X_76,skolemFOFtoCNF_BNODE_l1)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l1,X_73)
| X_75 = X_73 ),
inference(resolve,[$cnf( iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l1,uri_rdf_nil) )],[refute_0_25,refute_0_27]) ).
cnf(refute_0_29,plain,
( ~ icext(X_79,X_78)
| ~ iext(uri_owl_oneOf,X_79,skolemFOFtoCNF_BNODE_l1)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l1,uri_ex_w)
| X_78 = uri_ex_w ),
inference(subst,[],[refute_0_28:[bind(X_73,$fot(uri_ex_w)),bind(X_75,$fot(X_78)),bind(X_76,$fot(X_79))]]) ).
cnf(refute_0_30,plain,
( ~ icext(X_79,X_78)
| ~ iext(uri_owl_oneOf,X_79,skolemFOFtoCNF_BNODE_l1)
| X_78 = uri_ex_w ),
inference(resolve,[$cnf( iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l1,uri_ex_w) )],[refute_0_24,refute_0_29]) ).
cnf(refute_0_31,plain,
( ~ icext(skolemFOFtoCNF_BNODE_x1,X_80)
| ~ iext(uri_owl_oneOf,skolemFOFtoCNF_BNODE_x1,skolemFOFtoCNF_BNODE_l1)
| X_80 = uri_ex_w ),
inference(subst,[],[refute_0_30:[bind(X_78,$fot(X_80)),bind(X_79,$fot(skolemFOFtoCNF_BNODE_x1))]]) ).
cnf(refute_0_32,plain,
( ~ icext(skolemFOFtoCNF_BNODE_x1,X_80)
| X_80 = uri_ex_w ),
inference(resolve,[$cnf( iext(uri_owl_oneOf,skolemFOFtoCNF_BNODE_x1,skolemFOFtoCNF_BNODE_l1) )],[refute_0_23,refute_0_31]) ).
cnf(refute_0_33,plain,
( ~ icext(skolemFOFtoCNF_BNODE_x1,skolemFOFtoCNF_X2(uri_ex_p))
| skolemFOFtoCNF_X2(uri_ex_p) = uri_ex_w ),
inference(subst,[],[refute_0_32:[bind(X_80,$fot(skolemFOFtoCNF_X2(uri_ex_p)))]]) ).
cnf(refute_0_34,plain,
( skolemFOFtoCNF_X2(uri_ex_p) = uri_ex_w
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(resolve,[$cnf( icext(skolemFOFtoCNF_BNODE_x1,skolemFOFtoCNF_X2(uri_ex_p)) )],[refute_0_22,refute_0_33]) ).
cnf(refute_0_35,plain,
( skolemFOFtoCNF_X2(uri_ex_p) = uri_ex_w
| iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty) ),
inference(resolve,[$cnf( icext(uri_owl_InverseFunctionalProperty,uri_ex_p) )],[refute_0_34,refute_0_1]) ).
cnf(refute_0_36,plain,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_37,plain,
skolemFOFtoCNF_X2(uri_ex_p) = uri_ex_w,
inference(resolve,[$cnf( iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
( skolemFOFtoCNF_X1(uri_ex_p) != uri_ex_w
| skolemFOFtoCNF_X2(uri_ex_p) != uri_ex_w
| skolemFOFtoCNF_X1(uri_ex_p) = skolemFOFtoCNF_X2(uri_ex_p) ),
introduced(tautology,[equality,[$cnf( ~ $equal(skolemFOFtoCNF_X1(uri_ex_p),skolemFOFtoCNF_X2(uri_ex_p)) ),[1],$fot(uri_ex_w)]]) ).
cnf(refute_0_39,plain,
( skolemFOFtoCNF_X1(uri_ex_p) != uri_ex_w
| skolemFOFtoCNF_X1(uri_ex_p) = skolemFOFtoCNF_X2(uri_ex_p) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X2(uri_ex_p),uri_ex_w) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
( skolemFOFtoCNF_X1(uri_ex_p) != uri_ex_w
| ~ ip(uri_ex_p)
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X1(uri_ex_p),skolemFOFtoCNF_X2(uri_ex_p)) )],[refute_0_39,refute_0_3]) ).
cnf(refute_0_41,plain,
( ~ iext(uri_ex_p,skolemFOFtoCNF_X1(uri_ex_p),skolemFOFtoCNF_Y(uri_ex_p))
| icext(skolemFOFtoCNF_BNODE_x1,skolemFOFtoCNF_X1(uri_ex_p)) ),
inference(subst,[],[refute_0_7:[bind(X_13,$fot(skolemFOFtoCNF_X1(uri_ex_p))),bind(X_14,$fot(skolemFOFtoCNF_Y(uri_ex_p)))]]) ).
cnf(refute_0_42,plain,
( ~ ip(P)
| icext(uri_owl_InverseFunctionalProperty,P)
| iext(P,skolemFOFtoCNF_X1(P),skolemFOFtoCNF_Y(P)) ),
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_43,plain,
( ~ ip(uri_ex_p)
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| iext(uri_ex_p,skolemFOFtoCNF_X1(uri_ex_p),skolemFOFtoCNF_Y(uri_ex_p)) ),
inference(subst,[],[refute_0_42:[bind(P,$fot(uri_ex_p))]]) ).
cnf(refute_0_44,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| iext(uri_ex_p,skolemFOFtoCNF_X1(uri_ex_p),skolemFOFtoCNF_Y(uri_ex_p)) ),
inference(resolve,[$cnf( ip(uri_ex_p) )],[refute_0_20,refute_0_43]) ).
cnf(refute_0_45,plain,
( icext(skolemFOFtoCNF_BNODE_x1,skolemFOFtoCNF_X1(uri_ex_p))
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(resolve,[$cnf( iext(uri_ex_p,skolemFOFtoCNF_X1(uri_ex_p),skolemFOFtoCNF_Y(uri_ex_p)) )],[refute_0_44,refute_0_41]) ).
cnf(refute_0_46,plain,
( ~ icext(skolemFOFtoCNF_BNODE_x1,skolemFOFtoCNF_X1(uri_ex_p))
| skolemFOFtoCNF_X1(uri_ex_p) = uri_ex_w ),
inference(subst,[],[refute_0_32:[bind(X_80,$fot(skolemFOFtoCNF_X1(uri_ex_p)))]]) ).
cnf(refute_0_47,plain,
( skolemFOFtoCNF_X1(uri_ex_p) = uri_ex_w
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(resolve,[$cnf( icext(skolemFOFtoCNF_BNODE_x1,skolemFOFtoCNF_X1(uri_ex_p)) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
( skolemFOFtoCNF_X1(uri_ex_p) = uri_ex_w
| iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty) ),
inference(resolve,[$cnf( icext(uri_owl_InverseFunctionalProperty,uri_ex_p) )],[refute_0_47,refute_0_1]) ).
cnf(refute_0_49,plain,
skolemFOFtoCNF_X1(uri_ex_p) = uri_ex_w,
inference(resolve,[$cnf( iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty) )],[refute_0_48,refute_0_36]) ).
cnf(refute_0_50,plain,
( skolemFOFtoCNF_X1(uri_ex_p) != uri_ex_w
| uri_ex_w != uri_ex_w
| skolemFOFtoCNF_X1(uri_ex_p) = uri_ex_w ),
introduced(tautology,[equality,[$cnf( ~ $equal(skolemFOFtoCNF_X1(uri_ex_p),uri_ex_w) ),[0],$fot(uri_ex_w)]]) ).
cnf(refute_0_51,plain,
( uri_ex_w != uri_ex_w
| skolemFOFtoCNF_X1(uri_ex_p) = uri_ex_w ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X1(uri_ex_p),uri_ex_w) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
( uri_ex_w != uri_ex_w
| ~ ip(uri_ex_p)
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X1(uri_ex_p),uri_ex_w) )],[refute_0_51,refute_0_40]) ).
cnf(refute_0_53,plain,
uri_ex_w = uri_ex_w,
introduced(tautology,[refl,[$fot(uri_ex_w)]]) ).
cnf(refute_0_54,plain,
( ~ ip(uri_ex_p)
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(resolve,[$cnf( $equal(uri_ex_w,uri_ex_w) )],[refute_0_53,refute_0_52]) ).
cnf(refute_0_55,plain,
icext(uri_owl_InverseFunctionalProperty,uri_ex_p),
inference(resolve,[$cnf( ip(uri_ex_p) )],[refute_0_20,refute_0_54]) ).
cnf(refute_0_56,plain,
iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(resolve,[$cnf( icext(uri_owl_InverseFunctionalProperty,uri_ex_p) )],[refute_0_55,refute_0_1]) ).
cnf(refute_0_57,plain,
$false,
inference(resolve,[$cnf( iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty) )],[refute_0_56,refute_0_36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWB026+2 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 1 04:24:06 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.38 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.38
% 0.12/0.38 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.39
%------------------------------------------------------------------------------