TSTP Solution File: SWB032+2 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWB032+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n032.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 19:15:33 EDT 2022
% Result : Theorem 0.15s 0.36s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 103 ( 32 unt; 0 def)
% Number of atoms : 249 ( 0 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 258 ( 112 ~; 112 |; 20 &)
% ( 6 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 73 ( 0 sgn 48 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(owl_dat_dtype_string_type,axiom,
idc(uri_xsd_string) ).
fof(owl_dat_dtype_decimal_type,axiom,
idc(uri_xsd_decimal) ).
fof(owl_dat_dtype_integer_type,axiom,
idc(uri_xsd_integer) ).
fof(owl_dat_dtype_relation_disjoint_plainliteral_real,axiom,
! [X] :
~ ( icext(uri_rdf_PlainLiteral,X)
& icext(uri_owl_real,X) ) ).
fof(owl_dat_dtype_relation_subtype_string_plainliteral,axiom,
! [X] :
( icext(uri_xsd_string,X)
=> icext(uri_rdf_PlainLiteral,X) ) ).
fof(owl_dat_dtype_relation_subtype_rational_real,axiom,
! [X] :
( icext(uri_owl_rational,X)
=> icext(uri_owl_real,X) ) ).
fof(owl_dat_dtype_relation_subtype_decimal_rational,axiom,
! [X] :
( icext(uri_xsd_decimal,X)
=> icext(uri_owl_rational,X) ) ).
fof(owl_dat_dtype_relation_subtype_integer_decimal,axiom,
! [X] :
( icext(uri_xsd_integer,X)
=> icext(uri_xsd_decimal,X) ) ).
fof(owl_parts_idc_cond_set,axiom,
! [X] :
( idc(X)
=> ic(X) ) ).
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_eqdis_disjointwith,axiom,
! [C1,C2] :
( iext(uri_owl_disjointWith,C1,C2)
<=> ( ic(C1)
& ic(C2)
& ! [X] :
~ ( icext(C1,X)
& icext(C2,X) ) ) ) ).
fof(testcase_conclusion_fullish_032_Datatype_Relationships,conjecture,
( iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)
& iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ) ).
fof(subgoal_0,plain,
iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string),
inference(strip,[],[testcase_conclusion_fullish_032_Datatype_Relationships]) ).
fof(subgoal_1,plain,
( iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)
=> iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
inference(strip,[],[testcase_conclusion_fullish_032_Datatype_Relationships]) ).
fof(negate_0_0,plain,
~ iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [X] :
( ~ icext(uri_owl_rational,X)
| icext(uri_owl_real,X) ),
inference(canonicalize,[],[owl_dat_dtype_relation_subtype_rational_real]) ).
fof(normalize_0_1,plain,
! [X] :
( ~ icext(uri_owl_rational,X)
| icext(uri_owl_real,X) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X] :
( ~ icext(uri_xsd_decimal,X)
| icext(uri_owl_rational,X) ),
inference(canonicalize,[],[owl_dat_dtype_relation_subtype_decimal_rational]) ).
fof(normalize_0_3,plain,
! [X] :
( ~ icext(uri_xsd_decimal,X)
| icext(uri_owl_rational,X) ),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
idc(uri_xsd_string),
inference(canonicalize,[],[owl_dat_dtype_string_type]) ).
fof(normalize_0_5,plain,
! [X] :
( ~ idc(X)
| ic(X) ),
inference(canonicalize,[],[owl_parts_idc_cond_set]) ).
fof(normalize_0_6,plain,
! [X] :
( ~ idc(X)
| ic(X) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
idc(uri_xsd_decimal),
inference(canonicalize,[],[owl_dat_dtype_decimal_type]) ).
fof(normalize_0_8,plain,
! [C1,C2] :
( ~ iext(uri_owl_disjointWith,C1,C2)
<=> ( ~ ic(C1)
| ~ ic(C2)
| ? [X] :
( icext(C1,X)
& icext(C2,X) ) ) ),
inference(canonicalize,[],[owl_eqdis_disjointwith]) ).
fof(normalize_0_9,plain,
! [C1,C2] :
( ~ iext(uri_owl_disjointWith,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_disjointWith,C1,C2)
| ic(C1) )
& ( ~ iext(uri_owl_disjointWith,C1,C2)
| ic(C2) )
& ( ~ icext(C1,X)
| ~ icext(C2,X)
| ~ iext(uri_owl_disjointWith,C1,C2) )
& ( ~ ic(C1)
| ~ ic(C2)
| icext(C1,skolemFOFtoCNF_X_1(C1,C2))
| iext(uri_owl_disjointWith,C1,C2) )
& ( ~ ic(C1)
| ~ ic(C2)
| icext(C2,skolemFOFtoCNF_X_1(C1,C2))
| iext(uri_owl_disjointWith,C1,C2) ) ),
inference(clausify,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [C1,C2] :
( ~ ic(C1)
| ~ ic(C2)
| icext(C1,skolemFOFtoCNF_X_1(C1,C2))
| iext(uri_owl_disjointWith,C1,C2) ),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
~ iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_13,plain,
! [X] :
( ~ icext(uri_owl_real,X)
| ~ icext(uri_rdf_PlainLiteral,X) ),
inference(canonicalize,[],[owl_dat_dtype_relation_disjoint_plainliteral_real]) ).
fof(normalize_0_14,plain,
! [X] :
( ~ icext(uri_owl_real,X)
| ~ icext(uri_rdf_PlainLiteral,X) ),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [X] :
( ~ icext(uri_xsd_string,X)
| icext(uri_rdf_PlainLiteral,X) ),
inference(canonicalize,[],[owl_dat_dtype_relation_subtype_string_plainliteral]) ).
fof(normalize_0_16,plain,
! [X] :
( ~ icext(uri_xsd_string,X)
| icext(uri_rdf_PlainLiteral,X) ),
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [C1,C2] :
( ~ ic(C1)
| ~ ic(C2)
| icext(C2,skolemFOFtoCNF_X_1(C1,C2))
| iext(uri_owl_disjointWith,C1,C2) ),
inference(conjunct,[],[normalize_0_10]) ).
cnf(refute_0_0,plain,
( ~ icext(uri_owl_rational,X)
| icext(uri_owl_real,X) ),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
( ~ icext(uri_owl_rational,skolemFOFtoCNF_X_1(uri_xsd_decimal,uri_xsd_string))
| icext(uri_owl_real,skolemFOFtoCNF_X_1(uri_xsd_decimal,uri_xsd_string)) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(skolemFOFtoCNF_X_1(uri_xsd_decimal,uri_xsd_string)))]]) ).
cnf(refute_0_2,plain,
( ~ icext(uri_xsd_decimal,X)
| icext(uri_owl_rational,X) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_3,plain,
( ~ icext(uri_xsd_decimal,skolemFOFtoCNF_X_1(uri_xsd_decimal,uri_xsd_string))
| icext(uri_owl_rational,skolemFOFtoCNF_X_1(uri_xsd_decimal,uri_xsd_string)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(skolemFOFtoCNF_X_1(uri_xsd_decimal,uri_xsd_string)))]]) ).
cnf(refute_0_4,plain,
idc(uri_xsd_string),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_5,plain,
( ~ idc(X)
| ic(X) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_6,plain,
( ~ idc(uri_xsd_string)
| ic(uri_xsd_string) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(uri_xsd_string))]]) ).
cnf(refute_0_7,plain,
ic(uri_xsd_string),
inference(resolve,[$cnf( idc(uri_xsd_string) )],[refute_0_4,refute_0_6]) ).
cnf(refute_0_8,plain,
idc(uri_xsd_decimal),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_9,plain,
( ~ idc(uri_xsd_decimal)
| ic(uri_xsd_decimal) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(uri_xsd_decimal))]]) ).
cnf(refute_0_10,plain,
ic(uri_xsd_decimal),
inference(resolve,[$cnf( idc(uri_xsd_decimal) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
( ~ ic(C1)
| ~ ic(C2)
| icext(C1,skolemFOFtoCNF_X_1(C1,C2))
| iext(uri_owl_disjointWith,C1,C2) ),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_12,plain,
( ~ ic(X_75)
| ~ ic(uri_xsd_decimal)
| icext(uri_xsd_decimal,skolemFOFtoCNF_X_1(uri_xsd_decimal,X_75))
| iext(uri_owl_disjointWith,uri_xsd_decimal,X_75) ),
inference(subst,[],[refute_0_11:[bind(C1,$fot(uri_xsd_decimal)),bind(C2,$fot(X_75))]]) ).
cnf(refute_0_13,plain,
( ~ ic(X_75)
| icext(uri_xsd_decimal,skolemFOFtoCNF_X_1(uri_xsd_decimal,X_75))
| iext(uri_owl_disjointWith,uri_xsd_decimal,X_75) ),
inference(resolve,[$cnf( ic(uri_xsd_decimal) )],[refute_0_10,refute_0_12]) ).
cnf(refute_0_14,plain,
( ~ ic(uri_xsd_string)
| icext(uri_xsd_decimal,skolemFOFtoCNF_X_1(uri_xsd_decimal,uri_xsd_string))
| iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string) ),
inference(subst,[],[refute_0_13:[bind(X_75,$fot(uri_xsd_string))]]) ).
cnf(refute_0_15,plain,
( icext(uri_xsd_decimal,skolemFOFtoCNF_X_1(uri_xsd_decimal,uri_xsd_string))
| iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string) ),
inference(resolve,[$cnf( ic(uri_xsd_string) )],[refute_0_7,refute_0_14]) ).
cnf(refute_0_16,plain,
~ iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_17,plain,
icext(uri_xsd_decimal,skolemFOFtoCNF_X_1(uri_xsd_decimal,uri_xsd_string)),
inference(resolve,[$cnf( iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
icext(uri_owl_rational,skolemFOFtoCNF_X_1(uri_xsd_decimal,uri_xsd_string)),
inference(resolve,[$cnf( icext(uri_xsd_decimal,skolemFOFtoCNF_X_1(uri_xsd_decimal,uri_xsd_string)) )],[refute_0_17,refute_0_3]) ).
cnf(refute_0_19,plain,
icext(uri_owl_real,skolemFOFtoCNF_X_1(uri_xsd_decimal,uri_xsd_string)),
inference(resolve,[$cnf( icext(uri_owl_rational,skolemFOFtoCNF_X_1(uri_xsd_decimal,uri_xsd_string)) )],[refute_0_18,refute_0_1]) ).
cnf(refute_0_20,plain,
( ~ icext(uri_owl_real,X)
| ~ icext(uri_rdf_PlainLiteral,X) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_21,plain,
( ~ icext(uri_owl_real,skolemFOFtoCNF_X_1(uri_xsd_decimal,uri_xsd_string))
| ~ icext(uri_rdf_PlainLiteral,skolemFOFtoCNF_X_1(uri_xsd_decimal,uri_xsd_string)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(skolemFOFtoCNF_X_1(uri_xsd_decimal,uri_xsd_string)))]]) ).
cnf(refute_0_22,plain,
( ~ icext(uri_xsd_string,X)
| icext(uri_rdf_PlainLiteral,X) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_23,plain,
( ~ icext(uri_xsd_string,skolemFOFtoCNF_X_1(uri_xsd_decimal,uri_xsd_string))
| icext(uri_rdf_PlainLiteral,skolemFOFtoCNF_X_1(uri_xsd_decimal,uri_xsd_string)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(skolemFOFtoCNF_X_1(uri_xsd_decimal,uri_xsd_string)))]]) ).
cnf(refute_0_24,plain,
( ~ ic(C1)
| ~ ic(C2)
| icext(C2,skolemFOFtoCNF_X_1(C1,C2))
| iext(uri_owl_disjointWith,C1,C2) ),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_25,plain,
( ~ ic(X_18)
| ~ ic(uri_xsd_string)
| icext(uri_xsd_string,skolemFOFtoCNF_X_1(X_18,uri_xsd_string))
| iext(uri_owl_disjointWith,X_18,uri_xsd_string) ),
inference(subst,[],[refute_0_24:[bind(C1,$fot(X_18)),bind(C2,$fot(uri_xsd_string))]]) ).
cnf(refute_0_26,plain,
( ~ ic(X_18)
| icext(uri_xsd_string,skolemFOFtoCNF_X_1(X_18,uri_xsd_string))
| iext(uri_owl_disjointWith,X_18,uri_xsd_string) ),
inference(resolve,[$cnf( ic(uri_xsd_string) )],[refute_0_7,refute_0_25]) ).
cnf(refute_0_27,plain,
( ~ ic(uri_xsd_decimal)
| icext(uri_xsd_string,skolemFOFtoCNF_X_1(uri_xsd_decimal,uri_xsd_string))
| iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string) ),
inference(subst,[],[refute_0_26:[bind(X_18,$fot(uri_xsd_decimal))]]) ).
cnf(refute_0_28,plain,
( icext(uri_xsd_string,skolemFOFtoCNF_X_1(uri_xsd_decimal,uri_xsd_string))
| iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string) ),
inference(resolve,[$cnf( ic(uri_xsd_decimal) )],[refute_0_10,refute_0_27]) ).
cnf(refute_0_29,plain,
icext(uri_xsd_string,skolemFOFtoCNF_X_1(uri_xsd_decimal,uri_xsd_string)),
inference(resolve,[$cnf( iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string) )],[refute_0_28,refute_0_16]) ).
cnf(refute_0_30,plain,
icext(uri_rdf_PlainLiteral,skolemFOFtoCNF_X_1(uri_xsd_decimal,uri_xsd_string)),
inference(resolve,[$cnf( icext(uri_xsd_string,skolemFOFtoCNF_X_1(uri_xsd_decimal,uri_xsd_string)) )],[refute_0_29,refute_0_23]) ).
cnf(refute_0_31,plain,
~ icext(uri_owl_real,skolemFOFtoCNF_X_1(uri_xsd_decimal,uri_xsd_string)),
inference(resolve,[$cnf( icext(uri_rdf_PlainLiteral,skolemFOFtoCNF_X_1(uri_xsd_decimal,uri_xsd_string)) )],[refute_0_30,refute_0_21]) ).
cnf(refute_0_32,plain,
$false,
inference(resolve,[$cnf( icext(uri_owl_real,skolemFOFtoCNF_X_1(uri_xsd_decimal,uri_xsd_string)) )],[refute_0_19,refute_0_31]) ).
fof(negate_1_0,plain,
~ ( iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)
=> iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,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_1_1,plain,
! [C1,C2] :
( ~ iext(uri_rdfs_subClassOf,C1,C2)
<=> ( ~ ic(C1)
| ~ ic(C2)
| ? [X] :
( ~ icext(C2,X)
& icext(C1,X) ) ) ),
inference(specialize,[],[normalize_1_0]) ).
fof(normalize_1_2,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_1_1]) ).
fof(normalize_1_3,plain,
! [C1,C2] :
( ~ ic(C1)
| ~ ic(C2)
| ~ icext(C2,skolemFOFtoCNF_X(C1,C2))
| iext(uri_rdfs_subClassOf,C1,C2) ),
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_4,plain,
! [X] :
( ~ icext(uri_xsd_integer,X)
| icext(uri_xsd_decimal,X) ),
inference(canonicalize,[],[owl_dat_dtype_relation_subtype_integer_decimal]) ).
fof(normalize_1_5,plain,
! [X] :
( ~ icext(uri_xsd_integer,X)
| icext(uri_xsd_decimal,X) ),
inference(specialize,[],[normalize_1_4]) ).
fof(normalize_1_6,plain,
idc(uri_xsd_integer),
inference(canonicalize,[],[owl_dat_dtype_integer_type]) ).
fof(normalize_1_7,plain,
! [X] :
( ~ idc(X)
| ic(X) ),
inference(canonicalize,[],[owl_parts_idc_cond_set]) ).
fof(normalize_1_8,plain,
! [X] :
( ~ idc(X)
| ic(X) ),
inference(specialize,[],[normalize_1_7]) ).
fof(normalize_1_9,plain,
idc(uri_xsd_decimal),
inference(canonicalize,[],[owl_dat_dtype_decimal_type]) ).
fof(normalize_1_10,plain,
! [C1,C2] :
( ~ ic(C1)
| ~ ic(C2)
| icext(C1,skolemFOFtoCNF_X(C1,C2))
| iext(uri_rdfs_subClassOf,C1,C2) ),
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_11,plain,
( ~ iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal)
& iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_12,plain,
~ iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal),
inference(conjunct,[],[normalize_1_11]) ).
cnf(refute_1_0,plain,
( ~ ic(C1)
| ~ ic(C2)
| ~ icext(C2,skolemFOFtoCNF_X(C1,C2))
| iext(uri_rdfs_subClassOf,C1,C2) ),
inference(canonicalize,[],[normalize_1_3]) ).
cnf(refute_1_1,plain,
( ~ ic(uri_xsd_decimal)
| ~ ic(uri_xsd_integer)
| ~ icext(uri_xsd_decimal,skolemFOFtoCNF_X(uri_xsd_integer,uri_xsd_decimal))
| iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
inference(subst,[],[refute_1_0:[bind(C1,$fot(uri_xsd_integer)),bind(C2,$fot(uri_xsd_decimal))]]) ).
cnf(refute_1_2,plain,
( ~ icext(uri_xsd_integer,X)
| icext(uri_xsd_decimal,X) ),
inference(canonicalize,[],[normalize_1_5]) ).
cnf(refute_1_3,plain,
( ~ icext(uri_xsd_integer,skolemFOFtoCNF_X(uri_xsd_integer,uri_xsd_decimal))
| icext(uri_xsd_decimal,skolemFOFtoCNF_X(uri_xsd_integer,uri_xsd_decimal)) ),
inference(subst,[],[refute_1_2:[bind(X,$fot(skolemFOFtoCNF_X(uri_xsd_integer,uri_xsd_decimal)))]]) ).
cnf(refute_1_4,plain,
idc(uri_xsd_integer),
inference(canonicalize,[],[normalize_1_6]) ).
cnf(refute_1_5,plain,
( ~ idc(X)
| ic(X) ),
inference(canonicalize,[],[normalize_1_8]) ).
cnf(refute_1_6,plain,
( ~ idc(uri_xsd_integer)
| ic(uri_xsd_integer) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(uri_xsd_integer))]]) ).
cnf(refute_1_7,plain,
ic(uri_xsd_integer),
inference(resolve,[$cnf( idc(uri_xsd_integer) )],[refute_1_4,refute_1_6]) ).
cnf(refute_1_8,plain,
idc(uri_xsd_decimal),
inference(canonicalize,[],[normalize_1_9]) ).
cnf(refute_1_9,plain,
( ~ idc(uri_xsd_decimal)
| ic(uri_xsd_decimal) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(uri_xsd_decimal))]]) ).
cnf(refute_1_10,plain,
ic(uri_xsd_decimal),
inference(resolve,[$cnf( idc(uri_xsd_decimal) )],[refute_1_8,refute_1_9]) ).
cnf(refute_1_11,plain,
( ~ ic(C1)
| ~ ic(C2)
| icext(C1,skolemFOFtoCNF_X(C1,C2))
| iext(uri_rdfs_subClassOf,C1,C2) ),
inference(canonicalize,[],[normalize_1_10]) ).
cnf(refute_1_12,plain,
( ~ ic(X_137)
| ~ ic(uri_xsd_decimal)
| icext(X_137,skolemFOFtoCNF_X(X_137,uri_xsd_decimal))
| iext(uri_rdfs_subClassOf,X_137,uri_xsd_decimal) ),
inference(subst,[],[refute_1_11:[bind(C1,$fot(X_137)),bind(C2,$fot(uri_xsd_decimal))]]) ).
cnf(refute_1_13,plain,
( ~ ic(X_137)
| icext(X_137,skolemFOFtoCNF_X(X_137,uri_xsd_decimal))
| iext(uri_rdfs_subClassOf,X_137,uri_xsd_decimal) ),
inference(resolve,[$cnf( ic(uri_xsd_decimal) )],[refute_1_10,refute_1_12]) ).
cnf(refute_1_14,plain,
( ~ ic(uri_xsd_integer)
| icext(uri_xsd_integer,skolemFOFtoCNF_X(uri_xsd_integer,uri_xsd_decimal))
| iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
inference(subst,[],[refute_1_13:[bind(X_137,$fot(uri_xsd_integer))]]) ).
cnf(refute_1_15,plain,
( icext(uri_xsd_integer,skolemFOFtoCNF_X(uri_xsd_integer,uri_xsd_decimal))
| iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
inference(resolve,[$cnf( ic(uri_xsd_integer) )],[refute_1_7,refute_1_14]) ).
cnf(refute_1_16,plain,
~ iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal),
inference(canonicalize,[],[normalize_1_12]) ).
cnf(refute_1_17,plain,
icext(uri_xsd_integer,skolemFOFtoCNF_X(uri_xsd_integer,uri_xsd_decimal)),
inference(resolve,[$cnf( iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) )],[refute_1_15,refute_1_16]) ).
cnf(refute_1_18,plain,
icext(uri_xsd_decimal,skolemFOFtoCNF_X(uri_xsd_integer,uri_xsd_decimal)),
inference(resolve,[$cnf( icext(uri_xsd_integer,skolemFOFtoCNF_X(uri_xsd_integer,uri_xsd_decimal)) )],[refute_1_17,refute_1_3]) ).
cnf(refute_1_19,plain,
( ~ ic(uri_xsd_decimal)
| ~ ic(uri_xsd_integer)
| iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
inference(resolve,[$cnf( icext(uri_xsd_decimal,skolemFOFtoCNF_X(uri_xsd_integer,uri_xsd_decimal)) )],[refute_1_18,refute_1_1]) ).
cnf(refute_1_20,plain,
( ~ ic(uri_xsd_integer)
| iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
inference(resolve,[$cnf( ic(uri_xsd_decimal) )],[refute_1_10,refute_1_19]) ).
cnf(refute_1_21,plain,
iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal),
inference(resolve,[$cnf( ic(uri_xsd_integer) )],[refute_1_7,refute_1_20]) ).
cnf(refute_1_22,plain,
$false,
inference(resolve,[$cnf( iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) )],[refute_1_21,refute_1_16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : SWB032+2 : TPTP v8.1.0. Released v5.2.0.
% 0.09/0.11 % Command : metis --show proof --show saturation %s
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 600
% 0.11/0.31 % DateTime : Wed Jun 1 05:58:59 EDT 2022
% 0.11/0.31 % CPUTime :
% 0.11/0.31 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.15/0.36 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36
% 0.15/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.15/0.36
%------------------------------------------------------------------------------