TSTP Solution File: SWB012+2 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWB012+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n021.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 19:15:20 EDT 2022
% Result : Theorem 0.67s 0.84s
% Output : CNFRefutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 6
% Syntax : Number of formulae : 142 ( 54 unt; 0 def)
% Number of atoms : 750 ( 0 equ)
% Maximal formula atoms : 124 ( 5 avg)
% Number of connectives : 1100 ( 492 ~; 477 |; 108 &)
% ( 18 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 35 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 21 con; 0-4 aty)
% Number of variables : 294 ( 39 sgn 126 !; 16 ?)
% 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_bool_intersectionof_class_003,axiom,
! [Z,S1,C1,S2,C2,S3,C3] :
( ( iext(uri_rdf_first,S1,C1)
& iext(uri_rdf_rest,S1,S2)
& iext(uri_rdf_first,S2,C2)
& iext(uri_rdf_rest,S2,S3)
& iext(uri_rdf_first,S3,C3)
& iext(uri_rdf_rest,S3,uri_rdf_nil) )
=> ( iext(uri_owl_intersectionOf,Z,S1)
<=> ( ic(Z)
& ic(C1)
& ic(C2)
& ic(C3)
& ! [X] :
( icext(Z,X)
<=> ( icext(C1,X)
& icext(C2,X)
& icext(C3,X) ) ) ) ) ) ).
fof(owl_restrict_hasvalue,axiom,
! [Z,P,A] :
( ( iext(uri_owl_hasValue,Z,A)
& iext(uri_owl_onProperty,Z,P) )
=> ! [X] :
( icext(Z,X)
<=> iext(P,X,A) ) ) ).
fof(testcase_conclusion_fullish_012_Template_Class,conjecture,
( iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty)
& iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person) ) ).
fof(testcase_premise_fullish_012_Template_Class,axiom,
? [BNODE_l1,BNODE_l2,BNODE_l3,BNODE_r] :
( iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class)
& iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,BNODE_l1)
& iext(uri_rdf_first,BNODE_l1,uri_owl_DatatypeProperty)
& iext(uri_rdf_rest,BNODE_l1,BNODE_l2)
& iext(uri_rdf_first,BNODE_l2,uri_owl_FunctionalProperty)
& iext(uri_rdf_rest,BNODE_l2,BNODE_l3)
& iext(uri_rdf_first,BNODE_l3,BNODE_r)
& iext(uri_rdf_rest,BNODE_l3,uri_rdf_nil)
& iext(uri_rdf_type,BNODE_r,uri_owl_Restriction)
& iext(uri_owl_onProperty,BNODE_r,uri_rdfs_domain)
& iext(uri_owl_hasValue,BNODE_r,uri_foaf_Person)
& iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute)
& iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice)) ) ).
fof(subgoal_0,plain,
iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty),
inference(strip,[],[testcase_conclusion_fullish_012_Template_Class]) ).
fof(subgoal_1,plain,
( iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty)
=> iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person) ),
inference(strip,[],[testcase_conclusion_fullish_012_Template_Class]) ).
fof(negate_0_0,plain,
~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty),
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,
? [BNODE_l1,BNODE_l2,BNODE_l3,BNODE_r] :
( iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice))
& iext(uri_owl_hasValue,BNODE_r,uri_foaf_Person)
& iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,BNODE_l1)
& iext(uri_owl_onProperty,BNODE_r,uri_rdfs_domain)
& iext(uri_rdf_first,BNODE_l1,uri_owl_DatatypeProperty)
& iext(uri_rdf_first,BNODE_l2,uri_owl_FunctionalProperty)
& iext(uri_rdf_first,BNODE_l3,BNODE_r)
& iext(uri_rdf_rest,BNODE_l1,BNODE_l2)
& iext(uri_rdf_rest,BNODE_l2,BNODE_l3)
& iext(uri_rdf_rest,BNODE_l3,uri_rdf_nil)
& iext(uri_rdf_type,BNODE_r,uri_owl_Restriction)
& iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute)
& iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class) ),
inference(canonicalize,[],[testcase_premise_fullish_012_Template_Class]) ).
fof(normalize_0_5,plain,
( iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice))
& iext(uri_owl_hasValue,skolemFOFtoCNF_BNODE_r,uri_foaf_Person)
& iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,skolemFOFtoCNF_BNODE_l1)
& iext(uri_owl_onProperty,skolemFOFtoCNF_BNODE_r,uri_rdfs_domain)
& iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l1,uri_owl_DatatypeProperty)
& iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l2,uri_owl_FunctionalProperty)
& iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l3,skolemFOFtoCNF_BNODE_r)
& iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l1,skolemFOFtoCNF_BNODE_l2)
& iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l2,skolemFOFtoCNF_BNODE_l3)
& iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l3,uri_rdf_nil)
& iext(uri_rdf_type,skolemFOFtoCNF_BNODE_r,uri_owl_Restriction)
& iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute)
& iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class) ),
inference(skolemize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [C,X] :
( ~ iext(uri_rdf_type,X,C)
| icext(C,X) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_8,plain,
iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,skolemFOFtoCNF_BNODE_l1),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_9,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l1,uri_owl_DatatypeProperty),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_10,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l2,uri_owl_FunctionalProperty),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_11,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l3,skolemFOFtoCNF_BNODE_r),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_12,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l1,skolemFOFtoCNF_BNODE_l2),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_13,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l2,skolemFOFtoCNF_BNODE_l3),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_14,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l3,uri_rdf_nil),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_15,plain,
! [C1,C2,C3,S1,S2,S3,Z] :
( ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_first,S3,C3)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| ( ~ iext(uri_owl_intersectionOf,Z,S1)
<=> ( ~ ic(C1)
| ~ ic(C2)
| ~ ic(C3)
| ~ ic(Z)
| ? [X] :
( ~ icext(Z,X)
<=> ( icext(C1,X)
& icext(C2,X)
& icext(C3,X) ) ) ) ) ),
inference(canonicalize,[],[owl_bool_intersectionof_class_003]) ).
fof(normalize_0_16,plain,
! [C1,C2,C3,S1,S2,S3,Z] :
( ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_first,S3,C3)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| ( ~ iext(uri_owl_intersectionOf,Z,S1)
<=> ( ~ ic(C1)
| ~ ic(C2)
| ~ ic(C3)
| ~ ic(Z)
| ? [X] :
( ~ icext(Z,X)
<=> ( icext(C1,X)
& icext(C2,X)
& icext(C3,X) ) ) ) ) ),
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [C1,C2,C3,S1,S2,S3,X,Z] :
( ( ~ iext(uri_owl_intersectionOf,Z,S1)
| ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_first,S3,C3)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| ic(C1) )
& ( ~ iext(uri_owl_intersectionOf,Z,S1)
| ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_first,S3,C3)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| ic(C2) )
& ( ~ iext(uri_owl_intersectionOf,Z,S1)
| ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_first,S3,C3)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| ic(C3) )
& ( ~ iext(uri_owl_intersectionOf,Z,S1)
| ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_first,S3,C3)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| ic(Z) )
& ( ~ icext(Z,X)
| ~ iext(uri_owl_intersectionOf,Z,S1)
| ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_first,S3,C3)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| icext(C1,X) )
& ( ~ icext(Z,X)
| ~ iext(uri_owl_intersectionOf,Z,S1)
| ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_first,S3,C3)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| icext(C2,X) )
& ( ~ icext(Z,X)
| ~ iext(uri_owl_intersectionOf,Z,S1)
| ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_first,S3,C3)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| icext(C3,X) )
& ( ~ icext(C1,X)
| ~ icext(C2,X)
| ~ icext(C3,X)
| ~ iext(uri_owl_intersectionOf,Z,S1)
| ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_first,S3,C3)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| icext(Z,X) )
& ( ~ ic(C1)
| ~ ic(C2)
| ~ ic(C3)
| ~ ic(Z)
| ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_first,S3,C3)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| icext(C1,skolemFOFtoCNF_X(C1,C2,C3,Z))
| icext(Z,skolemFOFtoCNF_X(C1,C2,C3,Z))
| iext(uri_owl_intersectionOf,Z,S1) )
& ( ~ ic(C1)
| ~ ic(C2)
| ~ ic(C3)
| ~ ic(Z)
| ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_first,S3,C3)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| icext(C2,skolemFOFtoCNF_X(C1,C2,C3,Z))
| icext(Z,skolemFOFtoCNF_X(C1,C2,C3,Z))
| iext(uri_owl_intersectionOf,Z,S1) )
& ( ~ ic(C1)
| ~ ic(C2)
| ~ ic(C3)
| ~ ic(Z)
| ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_first,S3,C3)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| icext(C3,skolemFOFtoCNF_X(C1,C2,C3,Z))
| icext(Z,skolemFOFtoCNF_X(C1,C2,C3,Z))
| iext(uri_owl_intersectionOf,Z,S1) )
& ( ~ ic(C1)
| ~ ic(C2)
| ~ ic(C3)
| ~ ic(Z)
| ~ icext(C1,skolemFOFtoCNF_X(C1,C2,C3,Z))
| ~ icext(C2,skolemFOFtoCNF_X(C1,C2,C3,Z))
| ~ icext(C3,skolemFOFtoCNF_X(C1,C2,C3,Z))
| ~ icext(Z,skolemFOFtoCNF_X(C1,C2,C3,Z))
| ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_first,S3,C3)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| iext(uri_owl_intersectionOf,Z,S1) ) ),
inference(clausify,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [C1,C2,C3,S1,S2,S3,X,Z] :
( ~ icext(Z,X)
| ~ iext(uri_owl_intersectionOf,Z,S1)
| ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_first,S3,C3)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| icext(C2,X) ),
inference(conjunct,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty),
inference(canonicalize,[],[negate_0_0]) ).
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_FunctionalProperty,uri_ex_name)
| iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) ),
inference(subst,[],[refute_0_0:[bind(C,$fot(uri_owl_FunctionalProperty)),bind(X,$fot(uri_ex_name))]]) ).
cnf(refute_0_2,plain,
iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_3,plain,
( ~ iext(uri_rdf_type,X,C)
| icext(C,X) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_4,plain,
( ~ iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute)
| icext(uri_ex_PersonAttribute,uri_ex_name) ),
inference(subst,[],[refute_0_3:[bind(C,$fot(uri_ex_PersonAttribute)),bind(X,$fot(uri_ex_name))]]) ).
cnf(refute_0_5,plain,
icext(uri_ex_PersonAttribute,uri_ex_name),
inference(resolve,[$cnf( iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute) )],[refute_0_2,refute_0_4]) ).
cnf(refute_0_6,plain,
iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,skolemFOFtoCNF_BNODE_l1),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_7,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l1,uri_owl_DatatypeProperty),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_8,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l2,uri_owl_FunctionalProperty),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_9,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l3,skolemFOFtoCNF_BNODE_r),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_10,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l1,skolemFOFtoCNF_BNODE_l2),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_11,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l2,skolemFOFtoCNF_BNODE_l3),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_12,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l3,uri_rdf_nil),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_13,plain,
( ~ icext(Z,X)
| ~ iext(uri_owl_intersectionOf,Z,S1)
| ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_first,S3,C3)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| icext(C2,X) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_14,plain,
( ~ icext(X_778,X_777)
| ~ iext(uri_owl_intersectionOf,X_778,X_774)
| ~ iext(uri_rdf_first,X_774,X_771)
| ~ iext(uri_rdf_first,X_775,X_772)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l3,X_773)
| ~ iext(uri_rdf_rest,X_774,X_775)
| ~ iext(uri_rdf_rest,X_775,skolemFOFtoCNF_BNODE_l3)
| ~ iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l3,uri_rdf_nil)
| icext(X_772,X_777) ),
inference(subst,[],[refute_0_13:[bind(C1,$fot(X_771)),bind(C2,$fot(X_772)),bind(C3,$fot(X_773)),bind(S1,$fot(X_774)),bind(S2,$fot(X_775)),bind(S3,$fot(skolemFOFtoCNF_BNODE_l3)),bind(X,$fot(X_777)),bind(Z,$fot(X_778))]]) ).
cnf(refute_0_15,plain,
( ~ icext(X_778,X_777)
| ~ iext(uri_owl_intersectionOf,X_778,X_774)
| ~ iext(uri_rdf_first,X_774,X_771)
| ~ iext(uri_rdf_first,X_775,X_772)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l3,X_773)
| ~ iext(uri_rdf_rest,X_774,X_775)
| ~ iext(uri_rdf_rest,X_775,skolemFOFtoCNF_BNODE_l3)
| icext(X_772,X_777) ),
inference(resolve,[$cnf( iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l3,uri_rdf_nil) )],[refute_0_12,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ icext(X_785,X_784)
| ~ iext(uri_owl_intersectionOf,X_785,X_782)
| ~ iext(uri_rdf_first,X_782,X_779)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l2,X_780)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l3,X_781)
| ~ iext(uri_rdf_rest,X_782,skolemFOFtoCNF_BNODE_l2)
| ~ iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l2,skolemFOFtoCNF_BNODE_l3)
| icext(X_780,X_784) ),
inference(subst,[],[refute_0_15:[bind(X_771,$fot(X_779)),bind(X_772,$fot(X_780)),bind(X_773,$fot(X_781)),bind(X_774,$fot(X_782)),bind(X_775,$fot(skolemFOFtoCNF_BNODE_l2)),bind(X_777,$fot(X_784)),bind(X_778,$fot(X_785))]]) ).
cnf(refute_0_17,plain,
( ~ icext(X_785,X_784)
| ~ iext(uri_owl_intersectionOf,X_785,X_782)
| ~ iext(uri_rdf_first,X_782,X_779)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l2,X_780)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l3,X_781)
| ~ iext(uri_rdf_rest,X_782,skolemFOFtoCNF_BNODE_l2)
| icext(X_780,X_784) ),
inference(resolve,[$cnf( iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l2,skolemFOFtoCNF_BNODE_l3) )],[refute_0_11,refute_0_16]) ).
cnf(refute_0_18,plain,
( ~ icext(X_795,X_794)
| ~ iext(uri_owl_intersectionOf,X_795,skolemFOFtoCNF_BNODE_l1)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l1,X_790)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l2,X_791)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l3,X_792)
| ~ iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l1,skolemFOFtoCNF_BNODE_l2)
| icext(X_791,X_794) ),
inference(subst,[],[refute_0_17:[bind(X_779,$fot(X_790)),bind(X_780,$fot(X_791)),bind(X_781,$fot(X_792)),bind(X_782,$fot(skolemFOFtoCNF_BNODE_l1)),bind(X_784,$fot(X_794)),bind(X_785,$fot(X_795))]]) ).
cnf(refute_0_19,plain,
( ~ icext(X_795,X_794)
| ~ iext(uri_owl_intersectionOf,X_795,skolemFOFtoCNF_BNODE_l1)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l1,X_790)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l2,X_791)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l3,X_792)
| icext(X_791,X_794) ),
inference(resolve,[$cnf( iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l1,skolemFOFtoCNF_BNODE_l2) )],[refute_0_10,refute_0_18]) ).
cnf(refute_0_20,plain,
( ~ icext(X_800,X_799)
| ~ iext(uri_owl_intersectionOf,X_800,skolemFOFtoCNF_BNODE_l1)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l1,X_796)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l2,X_797)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l3,skolemFOFtoCNF_BNODE_r)
| icext(X_797,X_799) ),
inference(subst,[],[refute_0_19:[bind(X_790,$fot(X_796)),bind(X_791,$fot(X_797)),bind(X_792,$fot(skolemFOFtoCNF_BNODE_r)),bind(X_794,$fot(X_799)),bind(X_795,$fot(X_800))]]) ).
cnf(refute_0_21,plain,
( ~ icext(X_800,X_799)
| ~ iext(uri_owl_intersectionOf,X_800,skolemFOFtoCNF_BNODE_l1)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l1,X_796)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l2,X_797)
| icext(X_797,X_799) ),
inference(resolve,[$cnf( iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l3,skolemFOFtoCNF_BNODE_r) )],[refute_0_9,refute_0_20]) ).
cnf(refute_0_22,plain,
( ~ icext(X_804,X_803)
| ~ iext(uri_owl_intersectionOf,X_804,skolemFOFtoCNF_BNODE_l1)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l1,X_801)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l2,uri_owl_FunctionalProperty)
| icext(uri_owl_FunctionalProperty,X_803) ),
inference(subst,[],[refute_0_21:[bind(X_796,$fot(X_801)),bind(X_797,$fot(uri_owl_FunctionalProperty)),bind(X_799,$fot(X_803)),bind(X_800,$fot(X_804))]]) ).
cnf(refute_0_23,plain,
( ~ icext(X_804,X_803)
| ~ iext(uri_owl_intersectionOf,X_804,skolemFOFtoCNF_BNODE_l1)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l1,X_801)
| icext(uri_owl_FunctionalProperty,X_803) ),
inference(resolve,[$cnf( iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l2,uri_owl_FunctionalProperty) )],[refute_0_8,refute_0_22]) ).
cnf(refute_0_24,plain,
( ~ icext(X_807,X_806)
| ~ iext(uri_owl_intersectionOf,X_807,skolemFOFtoCNF_BNODE_l1)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l1,uri_owl_DatatypeProperty)
| icext(uri_owl_FunctionalProperty,X_806) ),
inference(subst,[],[refute_0_23:[bind(X_801,$fot(uri_owl_DatatypeProperty)),bind(X_803,$fot(X_806)),bind(X_804,$fot(X_807))]]) ).
cnf(refute_0_25,plain,
( ~ icext(X_807,X_806)
| ~ iext(uri_owl_intersectionOf,X_807,skolemFOFtoCNF_BNODE_l1)
| icext(uri_owl_FunctionalProperty,X_806) ),
inference(resolve,[$cnf( iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l1,uri_owl_DatatypeProperty) )],[refute_0_7,refute_0_24]) ).
cnf(refute_0_26,plain,
( ~ icext(uri_ex_PersonAttribute,X_808)
| ~ iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,skolemFOFtoCNF_BNODE_l1)
| icext(uri_owl_FunctionalProperty,X_808) ),
inference(subst,[],[refute_0_25:[bind(X_806,$fot(X_808)),bind(X_807,$fot(uri_ex_PersonAttribute))]]) ).
cnf(refute_0_27,plain,
( ~ icext(uri_ex_PersonAttribute,X_808)
| icext(uri_owl_FunctionalProperty,X_808) ),
inference(resolve,[$cnf( iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,skolemFOFtoCNF_BNODE_l1) )],[refute_0_6,refute_0_26]) ).
cnf(refute_0_28,plain,
( ~ icext(uri_ex_PersonAttribute,uri_ex_name)
| icext(uri_owl_FunctionalProperty,uri_ex_name) ),
inference(subst,[],[refute_0_27:[bind(X_808,$fot(uri_ex_name))]]) ).
cnf(refute_0_29,plain,
icext(uri_owl_FunctionalProperty,uri_ex_name),
inference(resolve,[$cnf( icext(uri_ex_PersonAttribute,uri_ex_name) )],[refute_0_5,refute_0_28]) ).
cnf(refute_0_30,plain,
iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty),
inference(resolve,[$cnf( icext(uri_owl_FunctionalProperty,uri_ex_name) )],[refute_0_29,refute_0_1]) ).
cnf(refute_0_31,plain,
~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_32,plain,
$false,
inference(resolve,[$cnf( iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) )],[refute_0_30,refute_0_31]) ).
fof(negate_1_0,plain,
~ ( iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty)
=> iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person) ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
! [C,X] :
( ~ icext(C,X)
<=> ~ iext(uri_rdf_type,X,C) ),
inference(canonicalize,[],[rdfs_cext_def]) ).
fof(normalize_1_1,plain,
! [C,X] :
( ~ icext(C,X)
<=> ~ iext(uri_rdf_type,X,C) ),
inference(specialize,[],[normalize_1_0]) ).
fof(normalize_1_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_1_1]) ).
fof(normalize_1_3,plain,
! [C,X] :
( ~ icext(C,X)
| iext(uri_rdf_type,X,C) ),
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_4,plain,
? [BNODE_l1,BNODE_l2,BNODE_l3,BNODE_r] :
( iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice))
& iext(uri_owl_hasValue,BNODE_r,uri_foaf_Person)
& iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,BNODE_l1)
& iext(uri_owl_onProperty,BNODE_r,uri_rdfs_domain)
& iext(uri_rdf_first,BNODE_l1,uri_owl_DatatypeProperty)
& iext(uri_rdf_first,BNODE_l2,uri_owl_FunctionalProperty)
& iext(uri_rdf_first,BNODE_l3,BNODE_r)
& iext(uri_rdf_rest,BNODE_l1,BNODE_l2)
& iext(uri_rdf_rest,BNODE_l2,BNODE_l3)
& iext(uri_rdf_rest,BNODE_l3,uri_rdf_nil)
& iext(uri_rdf_type,BNODE_r,uri_owl_Restriction)
& iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute)
& iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class) ),
inference(canonicalize,[],[testcase_premise_fullish_012_Template_Class]) ).
fof(normalize_1_5,plain,
( iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice))
& iext(uri_owl_hasValue,skolemFOFtoCNF_BNODE_r,uri_foaf_Person)
& iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,skolemFOFtoCNF_BNODE_l1)
& iext(uri_owl_onProperty,skolemFOFtoCNF_BNODE_r,uri_rdfs_domain)
& iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l1,uri_owl_DatatypeProperty)
& iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l2,uri_owl_FunctionalProperty)
& iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l3,skolemFOFtoCNF_BNODE_r)
& iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l1,skolemFOFtoCNF_BNODE_l2)
& iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l2,skolemFOFtoCNF_BNODE_l3)
& iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l3,uri_rdf_nil)
& iext(uri_rdf_type,skolemFOFtoCNF_BNODE_r,uri_owl_Restriction)
& iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute)
& iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class) ),
inference(skolemize,[],[normalize_1_4]) ).
fof(normalize_1_6,plain,
iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice)),
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_7,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_1_8,plain,
! [C,P,X] :
( ~ iext(uri_rdfs_domain,P,C)
| icext(C,X)
| ! [Y] : ~ iext(P,X,Y) ),
inference(specialize,[],[normalize_1_7]) ).
fof(normalize_1_9,plain,
! [C,P,X,Y] :
( ~ iext(P,X,Y)
| ~ iext(uri_rdfs_domain,P,C)
| icext(C,X) ),
inference(clausify,[],[normalize_1_8]) ).
fof(normalize_1_10,plain,
iext(uri_owl_hasValue,skolemFOFtoCNF_BNODE_r,uri_foaf_Person),
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_11,plain,
iext(uri_owl_onProperty,skolemFOFtoCNF_BNODE_r,uri_rdfs_domain),
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_12,plain,
! [A,P,Z] :
( ~ iext(uri_owl_hasValue,Z,A)
| ~ iext(uri_owl_onProperty,Z,P)
| ! [X] :
( ~ icext(Z,X)
<=> ~ iext(P,X,A) ) ),
inference(canonicalize,[],[owl_restrict_hasvalue]) ).
fof(normalize_1_13,plain,
! [A,P,Z] :
( ~ iext(uri_owl_hasValue,Z,A)
| ~ iext(uri_owl_onProperty,Z,P)
| ! [X] :
( ~ icext(Z,X)
<=> ~ iext(P,X,A) ) ),
inference(specialize,[],[normalize_1_12]) ).
fof(normalize_1_14,plain,
! [A,P,X,Z] :
( ( ~ icext(Z,X)
| ~ iext(uri_owl_hasValue,Z,A)
| ~ iext(uri_owl_onProperty,Z,P)
| iext(P,X,A) )
& ( ~ iext(P,X,A)
| ~ iext(uri_owl_hasValue,Z,A)
| ~ iext(uri_owl_onProperty,Z,P)
| icext(Z,X) ) ),
inference(clausify,[],[normalize_1_13]) ).
fof(normalize_1_15,plain,
! [A,P,X,Z] :
( ~ icext(Z,X)
| ~ iext(uri_owl_hasValue,Z,A)
| ~ iext(uri_owl_onProperty,Z,P)
| iext(P,X,A) ),
inference(conjunct,[],[normalize_1_14]) ).
fof(normalize_1_16,plain,
iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute),
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_17,plain,
! [C,X] :
( ~ iext(uri_rdf_type,X,C)
| icext(C,X) ),
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_18,plain,
iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,skolemFOFtoCNF_BNODE_l1),
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_19,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l1,uri_owl_DatatypeProperty),
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_20,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l2,uri_owl_FunctionalProperty),
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_21,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l3,skolemFOFtoCNF_BNODE_r),
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_22,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l1,skolemFOFtoCNF_BNODE_l2),
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_23,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l2,skolemFOFtoCNF_BNODE_l3),
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_24,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l3,uri_rdf_nil),
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_25,plain,
! [C1,C2,C3,S1,S2,S3,Z] :
( ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_first,S3,C3)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| ( ~ iext(uri_owl_intersectionOf,Z,S1)
<=> ( ~ ic(C1)
| ~ ic(C2)
| ~ ic(C3)
| ~ ic(Z)
| ? [X] :
( ~ icext(Z,X)
<=> ( icext(C1,X)
& icext(C2,X)
& icext(C3,X) ) ) ) ) ),
inference(canonicalize,[],[owl_bool_intersectionof_class_003]) ).
fof(normalize_1_26,plain,
! [C1,C2,C3,S1,S2,S3,Z] :
( ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_first,S3,C3)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| ( ~ iext(uri_owl_intersectionOf,Z,S1)
<=> ( ~ ic(C1)
| ~ ic(C2)
| ~ ic(C3)
| ~ ic(Z)
| ? [X] :
( ~ icext(Z,X)
<=> ( icext(C1,X)
& icext(C2,X)
& icext(C3,X) ) ) ) ) ),
inference(specialize,[],[normalize_1_25]) ).
fof(normalize_1_27,plain,
! [C1,C2,C3,S1,S2,S3,X,Z] :
( ( ~ iext(uri_owl_intersectionOf,Z,S1)
| ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_first,S3,C3)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| ic(C1) )
& ( ~ iext(uri_owl_intersectionOf,Z,S1)
| ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_first,S3,C3)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| ic(C2) )
& ( ~ iext(uri_owl_intersectionOf,Z,S1)
| ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_first,S3,C3)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| ic(C3) )
& ( ~ iext(uri_owl_intersectionOf,Z,S1)
| ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_first,S3,C3)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| ic(Z) )
& ( ~ icext(Z,X)
| ~ iext(uri_owl_intersectionOf,Z,S1)
| ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_first,S3,C3)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| icext(C1,X) )
& ( ~ icext(Z,X)
| ~ iext(uri_owl_intersectionOf,Z,S1)
| ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_first,S3,C3)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| icext(C2,X) )
& ( ~ icext(Z,X)
| ~ iext(uri_owl_intersectionOf,Z,S1)
| ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_first,S3,C3)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| icext(C3,X) )
& ( ~ icext(C1,X)
| ~ icext(C2,X)
| ~ icext(C3,X)
| ~ iext(uri_owl_intersectionOf,Z,S1)
| ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_first,S3,C3)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| icext(Z,X) )
& ( ~ ic(C1)
| ~ ic(C2)
| ~ ic(C3)
| ~ ic(Z)
| ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_first,S3,C3)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| icext(C1,skolemFOFtoCNF_X(C1,C2,C3,Z))
| icext(Z,skolemFOFtoCNF_X(C1,C2,C3,Z))
| iext(uri_owl_intersectionOf,Z,S1) )
& ( ~ ic(C1)
| ~ ic(C2)
| ~ ic(C3)
| ~ ic(Z)
| ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_first,S3,C3)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| icext(C2,skolemFOFtoCNF_X(C1,C2,C3,Z))
| icext(Z,skolemFOFtoCNF_X(C1,C2,C3,Z))
| iext(uri_owl_intersectionOf,Z,S1) )
& ( ~ ic(C1)
| ~ ic(C2)
| ~ ic(C3)
| ~ ic(Z)
| ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_first,S3,C3)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| icext(C3,skolemFOFtoCNF_X(C1,C2,C3,Z))
| icext(Z,skolemFOFtoCNF_X(C1,C2,C3,Z))
| iext(uri_owl_intersectionOf,Z,S1) )
& ( ~ ic(C1)
| ~ ic(C2)
| ~ ic(C3)
| ~ ic(Z)
| ~ icext(C1,skolemFOFtoCNF_X(C1,C2,C3,Z))
| ~ icext(C2,skolemFOFtoCNF_X(C1,C2,C3,Z))
| ~ icext(C3,skolemFOFtoCNF_X(C1,C2,C3,Z))
| ~ icext(Z,skolemFOFtoCNF_X(C1,C2,C3,Z))
| ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_first,S3,C3)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| iext(uri_owl_intersectionOf,Z,S1) ) ),
inference(clausify,[],[normalize_1_26]) ).
fof(normalize_1_28,plain,
! [C1,C2,C3,S1,S2,S3,X,Z] :
( ~ icext(Z,X)
| ~ iext(uri_owl_intersectionOf,Z,S1)
| ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_first,S3,C3)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| icext(C3,X) ),
inference(conjunct,[],[normalize_1_27]) ).
fof(normalize_1_29,plain,
( ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person)
& iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_30,plain,
~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person),
inference(conjunct,[],[normalize_1_29]) ).
cnf(refute_1_0,plain,
( ~ icext(C,X)
| iext(uri_rdf_type,X,C) ),
inference(canonicalize,[],[normalize_1_3]) ).
cnf(refute_1_1,plain,
( ~ icext(uri_foaf_Person,uri_ex_alice)
| iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person) ),
inference(subst,[],[refute_1_0:[bind(C,$fot(uri_foaf_Person)),bind(X,$fot(uri_ex_alice))]]) ).
cnf(refute_1_2,plain,
iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice)),
inference(canonicalize,[],[normalize_1_6]) ).
cnf(refute_1_3,plain,
( ~ iext(P,X,Y)
| ~ iext(uri_rdfs_domain,P,C)
| icext(C,X) ),
inference(canonicalize,[],[normalize_1_9]) ).
cnf(refute_1_4,plain,
( ~ iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice))
| ~ iext(uri_rdfs_domain,uri_ex_name,X_819)
| icext(X_819,uri_ex_alice) ),
inference(subst,[],[refute_1_3:[bind(C,$fot(X_819)),bind(P,$fot(uri_ex_name)),bind(X,$fot(uri_ex_alice)),bind(Y,$fot(literal_plain(dat_str_alice)))]]) ).
cnf(refute_1_5,plain,
( ~ iext(uri_rdfs_domain,uri_ex_name,X_819)
| icext(X_819,uri_ex_alice) ),
inference(resolve,[$cnf( iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice)) )],[refute_1_2,refute_1_4]) ).
cnf(refute_1_6,plain,
( ~ iext(uri_rdfs_domain,uri_ex_name,uri_foaf_Person)
| icext(uri_foaf_Person,uri_ex_alice) ),
inference(subst,[],[refute_1_5:[bind(X_819,$fot(uri_foaf_Person))]]) ).
cnf(refute_1_7,plain,
iext(uri_owl_hasValue,skolemFOFtoCNF_BNODE_r,uri_foaf_Person),
inference(canonicalize,[],[normalize_1_10]) ).
cnf(refute_1_8,plain,
iext(uri_owl_onProperty,skolemFOFtoCNF_BNODE_r,uri_rdfs_domain),
inference(canonicalize,[],[normalize_1_11]) ).
cnf(refute_1_9,plain,
( ~ icext(Z,X)
| ~ iext(uri_owl_hasValue,Z,A)
| ~ iext(uri_owl_onProperty,Z,P)
| iext(P,X,A) ),
inference(canonicalize,[],[normalize_1_15]) ).
cnf(refute_1_10,plain,
( ~ icext(skolemFOFtoCNF_BNODE_r,X_831)
| ~ iext(uri_owl_hasValue,skolemFOFtoCNF_BNODE_r,X_829)
| ~ iext(uri_owl_onProperty,skolemFOFtoCNF_BNODE_r,uri_rdfs_domain)
| iext(uri_rdfs_domain,X_831,X_829) ),
inference(subst,[],[refute_1_9:[bind(A,$fot(X_829)),bind(P,$fot(uri_rdfs_domain)),bind(X,$fot(X_831)),bind(Z,$fot(skolemFOFtoCNF_BNODE_r))]]) ).
cnf(refute_1_11,plain,
( ~ icext(skolemFOFtoCNF_BNODE_r,X_831)
| ~ iext(uri_owl_hasValue,skolemFOFtoCNF_BNODE_r,X_829)
| iext(uri_rdfs_domain,X_831,X_829) ),
inference(resolve,[$cnf( iext(uri_owl_onProperty,skolemFOFtoCNF_BNODE_r,uri_rdfs_domain) )],[refute_1_8,refute_1_10]) ).
cnf(refute_1_12,plain,
( ~ icext(skolemFOFtoCNF_BNODE_r,X_834)
| ~ iext(uri_owl_hasValue,skolemFOFtoCNF_BNODE_r,uri_foaf_Person)
| iext(uri_rdfs_domain,X_834,uri_foaf_Person) ),
inference(subst,[],[refute_1_11:[bind(X_829,$fot(uri_foaf_Person)),bind(X_831,$fot(X_834))]]) ).
cnf(refute_1_13,plain,
( ~ icext(skolemFOFtoCNF_BNODE_r,X_834)
| iext(uri_rdfs_domain,X_834,uri_foaf_Person) ),
inference(resolve,[$cnf( iext(uri_owl_hasValue,skolemFOFtoCNF_BNODE_r,uri_foaf_Person) )],[refute_1_7,refute_1_12]) ).
cnf(refute_1_14,plain,
( ~ icext(skolemFOFtoCNF_BNODE_r,uri_ex_name)
| iext(uri_rdfs_domain,uri_ex_name,uri_foaf_Person) ),
inference(subst,[],[refute_1_13:[bind(X_834,$fot(uri_ex_name))]]) ).
cnf(refute_1_15,plain,
iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute),
inference(canonicalize,[],[normalize_1_16]) ).
cnf(refute_1_16,plain,
( ~ iext(uri_rdf_type,X,C)
| icext(C,X) ),
inference(canonicalize,[],[normalize_1_17]) ).
cnf(refute_1_17,plain,
( ~ iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute)
| icext(uri_ex_PersonAttribute,uri_ex_name) ),
inference(subst,[],[refute_1_16:[bind(C,$fot(uri_ex_PersonAttribute)),bind(X,$fot(uri_ex_name))]]) ).
cnf(refute_1_18,plain,
icext(uri_ex_PersonAttribute,uri_ex_name),
inference(resolve,[$cnf( iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute) )],[refute_1_15,refute_1_17]) ).
cnf(refute_1_19,plain,
iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,skolemFOFtoCNF_BNODE_l1),
inference(canonicalize,[],[normalize_1_18]) ).
cnf(refute_1_20,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l1,uri_owl_DatatypeProperty),
inference(canonicalize,[],[normalize_1_19]) ).
cnf(refute_1_21,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l2,uri_owl_FunctionalProperty),
inference(canonicalize,[],[normalize_1_20]) ).
cnf(refute_1_22,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l3,skolemFOFtoCNF_BNODE_r),
inference(canonicalize,[],[normalize_1_21]) ).
cnf(refute_1_23,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l1,skolemFOFtoCNF_BNODE_l2),
inference(canonicalize,[],[normalize_1_22]) ).
cnf(refute_1_24,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l2,skolemFOFtoCNF_BNODE_l3),
inference(canonicalize,[],[normalize_1_23]) ).
cnf(refute_1_25,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l3,uri_rdf_nil),
inference(canonicalize,[],[normalize_1_24]) ).
cnf(refute_1_26,plain,
( ~ icext(Z,X)
| ~ iext(uri_owl_intersectionOf,Z,S1)
| ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_first,S3,C3)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| icext(C3,X) ),
inference(canonicalize,[],[normalize_1_28]) ).
cnf(refute_1_27,plain,
( ~ icext(X_1631,X_1630)
| ~ iext(uri_owl_intersectionOf,X_1631,X_1627)
| ~ iext(uri_rdf_first,X_1627,X_1624)
| ~ iext(uri_rdf_first,X_1628,X_1625)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l3,X_1626)
| ~ iext(uri_rdf_rest,X_1627,X_1628)
| ~ iext(uri_rdf_rest,X_1628,skolemFOFtoCNF_BNODE_l3)
| ~ iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l3,uri_rdf_nil)
| icext(X_1626,X_1630) ),
inference(subst,[],[refute_1_26:[bind(C1,$fot(X_1624)),bind(C2,$fot(X_1625)),bind(C3,$fot(X_1626)),bind(S1,$fot(X_1627)),bind(S2,$fot(X_1628)),bind(S3,$fot(skolemFOFtoCNF_BNODE_l3)),bind(X,$fot(X_1630)),bind(Z,$fot(X_1631))]]) ).
cnf(refute_1_28,plain,
( ~ icext(X_1631,X_1630)
| ~ iext(uri_owl_intersectionOf,X_1631,X_1627)
| ~ iext(uri_rdf_first,X_1627,X_1624)
| ~ iext(uri_rdf_first,X_1628,X_1625)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l3,X_1626)
| ~ iext(uri_rdf_rest,X_1627,X_1628)
| ~ iext(uri_rdf_rest,X_1628,skolemFOFtoCNF_BNODE_l3)
| icext(X_1626,X_1630) ),
inference(resolve,[$cnf( iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l3,uri_rdf_nil) )],[refute_1_25,refute_1_27]) ).
cnf(refute_1_29,plain,
( ~ icext(X_1638,X_1637)
| ~ iext(uri_owl_intersectionOf,X_1638,X_1635)
| ~ iext(uri_rdf_first,X_1635,X_1632)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l2,X_1633)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l3,X_1634)
| ~ iext(uri_rdf_rest,X_1635,skolemFOFtoCNF_BNODE_l2)
| ~ iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l2,skolemFOFtoCNF_BNODE_l3)
| icext(X_1634,X_1637) ),
inference(subst,[],[refute_1_28:[bind(X_1624,$fot(X_1632)),bind(X_1625,$fot(X_1633)),bind(X_1626,$fot(X_1634)),bind(X_1627,$fot(X_1635)),bind(X_1628,$fot(skolemFOFtoCNF_BNODE_l2)),bind(X_1630,$fot(X_1637)),bind(X_1631,$fot(X_1638))]]) ).
cnf(refute_1_30,plain,
( ~ icext(X_1638,X_1637)
| ~ iext(uri_owl_intersectionOf,X_1638,X_1635)
| ~ iext(uri_rdf_first,X_1635,X_1632)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l2,X_1633)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l3,X_1634)
| ~ iext(uri_rdf_rest,X_1635,skolemFOFtoCNF_BNODE_l2)
| icext(X_1634,X_1637) ),
inference(resolve,[$cnf( iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l2,skolemFOFtoCNF_BNODE_l3) )],[refute_1_24,refute_1_29]) ).
cnf(refute_1_31,plain,
( ~ icext(X_1644,X_1643)
| ~ iext(uri_owl_intersectionOf,X_1644,skolemFOFtoCNF_BNODE_l1)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l1,X_1639)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l2,X_1640)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l3,X_1641)
| ~ iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l1,skolemFOFtoCNF_BNODE_l2)
| icext(X_1641,X_1643) ),
inference(subst,[],[refute_1_30:[bind(X_1632,$fot(X_1639)),bind(X_1633,$fot(X_1640)),bind(X_1634,$fot(X_1641)),bind(X_1635,$fot(skolemFOFtoCNF_BNODE_l1)),bind(X_1637,$fot(X_1643)),bind(X_1638,$fot(X_1644))]]) ).
cnf(refute_1_32,plain,
( ~ icext(X_1644,X_1643)
| ~ iext(uri_owl_intersectionOf,X_1644,skolemFOFtoCNF_BNODE_l1)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l1,X_1639)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l2,X_1640)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l3,X_1641)
| icext(X_1641,X_1643) ),
inference(resolve,[$cnf( iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l1,skolemFOFtoCNF_BNODE_l2) )],[refute_1_23,refute_1_31]) ).
cnf(refute_1_33,plain,
( ~ icext(X_1649,X_1648)
| ~ iext(uri_owl_intersectionOf,X_1649,skolemFOFtoCNF_BNODE_l1)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l1,X_1645)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l2,X_1646)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l3,skolemFOFtoCNF_BNODE_r)
| icext(skolemFOFtoCNF_BNODE_r,X_1648) ),
inference(subst,[],[refute_1_32:[bind(X_1639,$fot(X_1645)),bind(X_1640,$fot(X_1646)),bind(X_1641,$fot(skolemFOFtoCNF_BNODE_r)),bind(X_1643,$fot(X_1648)),bind(X_1644,$fot(X_1649))]]) ).
cnf(refute_1_34,plain,
( ~ icext(X_1649,X_1648)
| ~ iext(uri_owl_intersectionOf,X_1649,skolemFOFtoCNF_BNODE_l1)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l1,X_1645)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l2,X_1646)
| icext(skolemFOFtoCNF_BNODE_r,X_1648) ),
inference(resolve,[$cnf( iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l3,skolemFOFtoCNF_BNODE_r) )],[refute_1_22,refute_1_33]) ).
cnf(refute_1_35,plain,
( ~ icext(X_1653,X_1652)
| ~ iext(uri_owl_intersectionOf,X_1653,skolemFOFtoCNF_BNODE_l1)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l1,X_1650)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l2,uri_owl_FunctionalProperty)
| icext(skolemFOFtoCNF_BNODE_r,X_1652) ),
inference(subst,[],[refute_1_34:[bind(X_1645,$fot(X_1650)),bind(X_1646,$fot(uri_owl_FunctionalProperty)),bind(X_1648,$fot(X_1652)),bind(X_1649,$fot(X_1653))]]) ).
cnf(refute_1_36,plain,
( ~ icext(X_1653,X_1652)
| ~ iext(uri_owl_intersectionOf,X_1653,skolemFOFtoCNF_BNODE_l1)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l1,X_1650)
| icext(skolemFOFtoCNF_BNODE_r,X_1652) ),
inference(resolve,[$cnf( iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l2,uri_owl_FunctionalProperty) )],[refute_1_21,refute_1_35]) ).
cnf(refute_1_37,plain,
( ~ icext(X_1656,X_1655)
| ~ iext(uri_owl_intersectionOf,X_1656,skolemFOFtoCNF_BNODE_l1)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l1,uri_owl_DatatypeProperty)
| icext(skolemFOFtoCNF_BNODE_r,X_1655) ),
inference(subst,[],[refute_1_36:[bind(X_1650,$fot(uri_owl_DatatypeProperty)),bind(X_1652,$fot(X_1655)),bind(X_1653,$fot(X_1656))]]) ).
cnf(refute_1_38,plain,
( ~ icext(X_1656,X_1655)
| ~ iext(uri_owl_intersectionOf,X_1656,skolemFOFtoCNF_BNODE_l1)
| icext(skolemFOFtoCNF_BNODE_r,X_1655) ),
inference(resolve,[$cnf( iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l1,uri_owl_DatatypeProperty) )],[refute_1_20,refute_1_37]) ).
cnf(refute_1_39,plain,
( ~ icext(uri_ex_PersonAttribute,X_1657)
| ~ iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,skolemFOFtoCNF_BNODE_l1)
| icext(skolemFOFtoCNF_BNODE_r,X_1657) ),
inference(subst,[],[refute_1_38:[bind(X_1655,$fot(X_1657)),bind(X_1656,$fot(uri_ex_PersonAttribute))]]) ).
cnf(refute_1_40,plain,
( ~ icext(uri_ex_PersonAttribute,X_1657)
| icext(skolemFOFtoCNF_BNODE_r,X_1657) ),
inference(resolve,[$cnf( iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,skolemFOFtoCNF_BNODE_l1) )],[refute_1_19,refute_1_39]) ).
cnf(refute_1_41,plain,
( ~ icext(uri_ex_PersonAttribute,uri_ex_name)
| icext(skolemFOFtoCNF_BNODE_r,uri_ex_name) ),
inference(subst,[],[refute_1_40:[bind(X_1657,$fot(uri_ex_name))]]) ).
cnf(refute_1_42,plain,
icext(skolemFOFtoCNF_BNODE_r,uri_ex_name),
inference(resolve,[$cnf( icext(uri_ex_PersonAttribute,uri_ex_name) )],[refute_1_18,refute_1_41]) ).
cnf(refute_1_43,plain,
iext(uri_rdfs_domain,uri_ex_name,uri_foaf_Person),
inference(resolve,[$cnf( icext(skolemFOFtoCNF_BNODE_r,uri_ex_name) )],[refute_1_42,refute_1_14]) ).
cnf(refute_1_44,plain,
icext(uri_foaf_Person,uri_ex_alice),
inference(resolve,[$cnf( iext(uri_rdfs_domain,uri_ex_name,uri_foaf_Person) )],[refute_1_43,refute_1_6]) ).
cnf(refute_1_45,plain,
iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person),
inference(resolve,[$cnf( icext(uri_foaf_Person,uri_ex_alice) )],[refute_1_44,refute_1_1]) ).
cnf(refute_1_46,plain,
~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person),
inference(canonicalize,[],[normalize_1_30]) ).
cnf(refute_1_47,plain,
$false,
inference(resolve,[$cnf( iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person) )],[refute_1_45,refute_1_46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWB012+2 : TPTP v8.1.0. Released v5.2.0.
% 0.06/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n021.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 05:35:45 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.67/0.84 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.67/0.84
% 0.67/0.84 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.67/0.85
%------------------------------------------------------------------------------