TSTP Solution File: SWB005+2 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWB005+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n027.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 19:15:16 EDT 2022
% Result : Theorem 0.17s 0.36s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 184 ( 85 unt; 0 def)
% Number of atoms : 372 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 326 ( 138 ~; 55 |; 87 &)
% ( 31 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 161 ( 20 sgn 117 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(simple_ir,axiom,
! [X] : ir(X) ).
fof(simple_iext_property,axiom,
! [S,P,O] :
( iext(P,S,O)
=> ip(P) ) ).
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_ir_def,axiom,
! [X] :
( ir(X)
<=> icext(uri_rdfs_Resource,X) ) ).
fof(owl_class_thing_ext,axiom,
! [X] :
( icext(uri_owl_Thing,X)
<=> ir(X) ) ).
fof(owl_class_objectproperty_ext,axiom,
! [X] :
( icext(uri_owl_ObjectProperty,X)
<=> ip(X) ) ).
fof(testcase_conclusion_fullish_005_Everything_is_a_Resource,conjecture,
( iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
& iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ) ).
fof(testcase_premise_fullish_005_Everything_is_a_Resource,axiom,
iext(uri_ex_p,uri_ex_s,uri_ex_o) ).
fof(subgoal_0,plain,
iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource),
inference(strip,[],[testcase_conclusion_fullish_005_Everything_is_a_Resource]) ).
fof(subgoal_1,plain,
( iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
=> iext(uri_rdf_type,uri_ex_s,uri_owl_Thing) ),
inference(strip,[],[testcase_conclusion_fullish_005_Everything_is_a_Resource]) ).
fof(subgoal_2,plain,
( ( iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_s,uri_owl_Thing) )
=> iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource) ),
inference(strip,[],[testcase_conclusion_fullish_005_Everything_is_a_Resource]) ).
fof(subgoal_3,plain,
( ( iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource) )
=> iext(uri_rdf_type,uri_ex_p,uri_owl_Thing) ),
inference(strip,[],[testcase_conclusion_fullish_005_Everything_is_a_Resource]) ).
fof(subgoal_4,plain,
( ( iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_p,uri_owl_Thing) )
=> iext(uri_rdf_type,uri_ex_p,uri_rdf_Property) ),
inference(strip,[],[testcase_conclusion_fullish_005_Everything_is_a_Resource]) ).
fof(subgoal_5,plain,
( ( iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdf_Property) )
=> iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
inference(strip,[],[testcase_conclusion_fullish_005_Everything_is_a_Resource]) ).
fof(subgoal_6,plain,
( ( iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) )
=> iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource) ),
inference(strip,[],[testcase_conclusion_fullish_005_Everything_is_a_Resource]) ).
fof(subgoal_7,plain,
( ( iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
& iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource) )
=> iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ),
inference(strip,[],[testcase_conclusion_fullish_005_Everything_is_a_Resource]) ).
fof(negate_0_0,plain,
~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
! [X] :
( ~ icext(uri_rdfs_Resource,X)
<=> ~ ir(X) ),
inference(canonicalize,[],[rdfs_ir_def]) ).
fof(normalize_0_2,plain,
! [X] : ir(X),
inference(canonicalize,[],[simple_ir]) ).
fof(normalize_0_3,plain,
! [X] : ir(X),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X] : icext(uri_rdfs_Resource,X),
inference(simplify,[],[normalize_0_1,normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X] : icext(uri_rdfs_Resource,X),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [C,X] :
( ~ icext(C,X)
<=> ~ iext(uri_rdf_type,X,C) ),
inference(canonicalize,[],[rdfs_cext_def]) ).
fof(normalize_0_7,plain,
! [C,X] :
( ~ icext(C,X)
<=> ~ iext(uri_rdf_type,X,C) ),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,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_7]) ).
fof(normalize_0_9,plain,
! [C,X] :
( ~ icext(C,X)
| iext(uri_rdf_type,X,C) ),
inference(conjunct,[],[normalize_0_8]) ).
cnf(refute_0_0,plain,
~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource),
inference(canonicalize,[],[normalize_0_0]) ).
cnf(refute_0_1,plain,
icext(uri_rdfs_Resource,X),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_2,plain,
icext(uri_rdfs_Resource,X_8),
inference(subst,[],[refute_0_1:[bind(X,$fot(X_8))]]) ).
cnf(refute_0_3,plain,
( ~ icext(C,X)
| iext(uri_rdf_type,X,C) ),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_4,plain,
( ~ icext(uri_rdfs_Resource,X_8)
| iext(uri_rdf_type,X_8,uri_rdfs_Resource) ),
inference(subst,[],[refute_0_3:[bind(C,$fot(uri_rdfs_Resource)),bind(X,$fot(X_8))]]) ).
cnf(refute_0_5,plain,
iext(uri_rdf_type,X_8,uri_rdfs_Resource),
inference(resolve,[$cnf( icext(uri_rdfs_Resource,X_8) )],[refute_0_2,refute_0_4]) ).
cnf(refute_0_6,plain,
iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource),
inference(subst,[],[refute_0_5:[bind(X_8,$fot(uri_ex_s))]]) ).
cnf(refute_0_7,plain,
$false,
inference(resolve,[$cnf( iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) )],[refute_0_6,refute_0_0]) ).
fof(negate_1_0,plain,
~ ( iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
=> iext(uri_rdf_type,uri_ex_s,uri_owl_Thing) ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
( ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_1,plain,
~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
! [X] :
( ~ icext(uri_owl_Thing,X)
<=> ~ ir(X) ),
inference(canonicalize,[],[owl_class_thing_ext]) ).
fof(normalize_1_3,plain,
! [X] : ir(X),
inference(canonicalize,[],[simple_ir]) ).
fof(normalize_1_4,plain,
! [X] : ir(X),
inference(specialize,[],[normalize_1_3]) ).
fof(normalize_1_5,plain,
! [X] : icext(uri_owl_Thing,X),
inference(simplify,[],[normalize_1_2,normalize_1_4]) ).
fof(normalize_1_6,plain,
! [X] : icext(uri_owl_Thing,X),
inference(specialize,[],[normalize_1_5]) ).
fof(normalize_1_7,plain,
! [C,X] :
( ~ icext(C,X)
<=> ~ iext(uri_rdf_type,X,C) ),
inference(canonicalize,[],[rdfs_cext_def]) ).
fof(normalize_1_8,plain,
! [C,X] :
( ~ icext(C,X)
<=> ~ iext(uri_rdf_type,X,C) ),
inference(specialize,[],[normalize_1_7]) ).
fof(normalize_1_9,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_8]) ).
fof(normalize_1_10,plain,
! [C,X] :
( ~ icext(C,X)
| iext(uri_rdf_type,X,C) ),
inference(conjunct,[],[normalize_1_9]) ).
cnf(refute_1_0,plain,
~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing),
inference(canonicalize,[],[normalize_1_1]) ).
cnf(refute_1_1,plain,
icext(uri_owl_Thing,X),
inference(canonicalize,[],[normalize_1_6]) ).
cnf(refute_1_2,plain,
icext(uri_owl_Thing,X_18),
inference(subst,[],[refute_1_1:[bind(X,$fot(X_18))]]) ).
cnf(refute_1_3,plain,
( ~ icext(C,X)
| iext(uri_rdf_type,X,C) ),
inference(canonicalize,[],[normalize_1_10]) ).
cnf(refute_1_4,plain,
( ~ icext(uri_owl_Thing,X_18)
| iext(uri_rdf_type,X_18,uri_owl_Thing) ),
inference(subst,[],[refute_1_3:[bind(C,$fot(uri_owl_Thing)),bind(X,$fot(X_18))]]) ).
cnf(refute_1_5,plain,
iext(uri_rdf_type,X_18,uri_owl_Thing),
inference(resolve,[$cnf( icext(uri_owl_Thing,X_18) )],[refute_1_2,refute_1_4]) ).
cnf(refute_1_6,plain,
iext(uri_rdf_type,uri_ex_s,uri_owl_Thing),
inference(subst,[],[refute_1_5:[bind(X_18,$fot(uri_ex_s))]]) ).
cnf(refute_1_7,plain,
$false,
inference(resolve,[$cnf( iext(uri_rdf_type,uri_ex_s,uri_owl_Thing) )],[refute_1_6,refute_1_0]) ).
fof(negate_2_0,plain,
~ ( ( iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_s,uri_owl_Thing) )
=> iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource) ),
inference(negate,[],[subgoal_2]) ).
fof(normalize_2_0,plain,
( ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
inference(canonicalize,[],[negate_2_0]) ).
fof(normalize_2_1,plain,
~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_2,plain,
! [X] :
( ~ icext(uri_rdfs_Resource,X)
<=> ~ ir(X) ),
inference(canonicalize,[],[rdfs_ir_def]) ).
fof(normalize_2_3,plain,
! [X] : ir(X),
inference(canonicalize,[],[simple_ir]) ).
fof(normalize_2_4,plain,
! [X] : ir(X),
inference(specialize,[],[normalize_2_3]) ).
fof(normalize_2_5,plain,
! [X] : icext(uri_rdfs_Resource,X),
inference(simplify,[],[normalize_2_2,normalize_2_4]) ).
fof(normalize_2_6,plain,
! [X] : icext(uri_rdfs_Resource,X),
inference(specialize,[],[normalize_2_5]) ).
fof(normalize_2_7,plain,
! [C,X] :
( ~ icext(C,X)
<=> ~ iext(uri_rdf_type,X,C) ),
inference(canonicalize,[],[rdfs_cext_def]) ).
fof(normalize_2_8,plain,
! [C,X] :
( ~ icext(C,X)
<=> ~ iext(uri_rdf_type,X,C) ),
inference(specialize,[],[normalize_2_7]) ).
fof(normalize_2_9,plain,
! [C,X] :
( ( ~ icext(C,X)
| iext(uri_rdf_type,X,C) )
& ( ~ iext(uri_rdf_type,X,C)
| icext(C,X) ) ),
inference(clausify,[],[normalize_2_8]) ).
fof(normalize_2_10,plain,
! [C,X] :
( ~ icext(C,X)
| iext(uri_rdf_type,X,C) ),
inference(conjunct,[],[normalize_2_9]) ).
cnf(refute_2_0,plain,
~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource),
inference(canonicalize,[],[normalize_2_1]) ).
cnf(refute_2_1,plain,
icext(uri_rdfs_Resource,X),
inference(canonicalize,[],[normalize_2_6]) ).
cnf(refute_2_2,plain,
icext(uri_rdfs_Resource,X_28),
inference(subst,[],[refute_2_1:[bind(X,$fot(X_28))]]) ).
cnf(refute_2_3,plain,
( ~ icext(C,X)
| iext(uri_rdf_type,X,C) ),
inference(canonicalize,[],[normalize_2_10]) ).
cnf(refute_2_4,plain,
( ~ icext(uri_rdfs_Resource,X_28)
| iext(uri_rdf_type,X_28,uri_rdfs_Resource) ),
inference(subst,[],[refute_2_3:[bind(C,$fot(uri_rdfs_Resource)),bind(X,$fot(X_28))]]) ).
cnf(refute_2_5,plain,
iext(uri_rdf_type,X_28,uri_rdfs_Resource),
inference(resolve,[$cnf( icext(uri_rdfs_Resource,X_28) )],[refute_2_2,refute_2_4]) ).
cnf(refute_2_6,plain,
iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource),
inference(subst,[],[refute_2_5:[bind(X_28,$fot(uri_ex_p))]]) ).
cnf(refute_2_7,plain,
$false,
inference(resolve,[$cnf( iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource) )],[refute_2_6,refute_2_0]) ).
fof(negate_3_0,plain,
~ ( ( iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource) )
=> iext(uri_rdf_type,uri_ex_p,uri_owl_Thing) ),
inference(negate,[],[subgoal_3]) ).
fof(normalize_3_0,plain,
( ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
inference(canonicalize,[],[negate_3_0]) ).
fof(normalize_3_1,plain,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_2,plain,
! [X] :
( ~ icext(uri_owl_Thing,X)
<=> ~ ir(X) ),
inference(canonicalize,[],[owl_class_thing_ext]) ).
fof(normalize_3_3,plain,
! [X] : ir(X),
inference(canonicalize,[],[simple_ir]) ).
fof(normalize_3_4,plain,
! [X] : ir(X),
inference(specialize,[],[normalize_3_3]) ).
fof(normalize_3_5,plain,
! [X] : icext(uri_owl_Thing,X),
inference(simplify,[],[normalize_3_2,normalize_3_4]) ).
fof(normalize_3_6,plain,
! [X] : icext(uri_owl_Thing,X),
inference(specialize,[],[normalize_3_5]) ).
fof(normalize_3_7,plain,
! [C,X] :
( ~ icext(C,X)
<=> ~ iext(uri_rdf_type,X,C) ),
inference(canonicalize,[],[rdfs_cext_def]) ).
fof(normalize_3_8,plain,
! [C,X] :
( ~ icext(C,X)
<=> ~ iext(uri_rdf_type,X,C) ),
inference(specialize,[],[normalize_3_7]) ).
fof(normalize_3_9,plain,
! [C,X] :
( ( ~ icext(C,X)
| iext(uri_rdf_type,X,C) )
& ( ~ iext(uri_rdf_type,X,C)
| icext(C,X) ) ),
inference(clausify,[],[normalize_3_8]) ).
fof(normalize_3_10,plain,
! [C,X] :
( ~ icext(C,X)
| iext(uri_rdf_type,X,C) ),
inference(conjunct,[],[normalize_3_9]) ).
cnf(refute_3_0,plain,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing),
inference(canonicalize,[],[normalize_3_1]) ).
cnf(refute_3_1,plain,
icext(uri_owl_Thing,X),
inference(canonicalize,[],[normalize_3_6]) ).
cnf(refute_3_2,plain,
icext(uri_owl_Thing,X_38),
inference(subst,[],[refute_3_1:[bind(X,$fot(X_38))]]) ).
cnf(refute_3_3,plain,
( ~ icext(C,X)
| iext(uri_rdf_type,X,C) ),
inference(canonicalize,[],[normalize_3_10]) ).
cnf(refute_3_4,plain,
( ~ icext(uri_owl_Thing,X_38)
| iext(uri_rdf_type,X_38,uri_owl_Thing) ),
inference(subst,[],[refute_3_3:[bind(C,$fot(uri_owl_Thing)),bind(X,$fot(X_38))]]) ).
cnf(refute_3_5,plain,
iext(uri_rdf_type,X_38,uri_owl_Thing),
inference(resolve,[$cnf( icext(uri_owl_Thing,X_38) )],[refute_3_2,refute_3_4]) ).
cnf(refute_3_6,plain,
iext(uri_rdf_type,uri_ex_p,uri_owl_Thing),
inference(subst,[],[refute_3_5:[bind(X_38,$fot(uri_ex_p))]]) ).
cnf(refute_3_7,plain,
$false,
inference(resolve,[$cnf( iext(uri_rdf_type,uri_ex_p,uri_owl_Thing) )],[refute_3_6,refute_3_0]) ).
fof(negate_4_0,plain,
~ ( ( iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_p,uri_owl_Thing) )
=> iext(uri_rdf_type,uri_ex_p,uri_rdf_Property) ),
inference(negate,[],[subgoal_4]) ).
fof(normalize_4_0,plain,
! [P] :
( ~ iext(uri_rdf_type,P,uri_rdf_Property)
<=> ~ ip(P) ),
inference(canonicalize,[],[rdf_type_ip]) ).
fof(normalize_4_1,plain,
! [P] :
( ~ iext(uri_rdf_type,P,uri_rdf_Property)
<=> ~ ip(P) ),
inference(specialize,[],[normalize_4_0]) ).
fof(normalize_4_2,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_4_1]) ).
fof(normalize_4_3,plain,
! [P] :
( ~ ip(P)
| iext(uri_rdf_type,P,uri_rdf_Property) ),
inference(conjunct,[],[normalize_4_2]) ).
fof(normalize_4_4,plain,
iext(uri_ex_p,uri_ex_s,uri_ex_o),
inference(canonicalize,[],[testcase_premise_fullish_005_Everything_is_a_Resource]) ).
fof(normalize_4_5,plain,
! [P,S] :
( ip(P)
| ! [O] : ~ iext(P,S,O) ),
inference(canonicalize,[],[simple_iext_property]) ).
fof(normalize_4_6,plain,
! [P,S] :
( ip(P)
| ! [O] : ~ iext(P,S,O) ),
inference(specialize,[],[normalize_4_5]) ).
fof(normalize_4_7,plain,
! [O,P,S] :
( ~ iext(P,S,O)
| ip(P) ),
inference(clausify,[],[normalize_4_6]) ).
fof(normalize_4_8,plain,
( ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
& iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
inference(canonicalize,[],[negate_4_0]) ).
fof(normalize_4_9,plain,
~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property),
inference(conjunct,[],[normalize_4_8]) ).
cnf(refute_4_0,plain,
( ~ ip(P)
| iext(uri_rdf_type,P,uri_rdf_Property) ),
inference(canonicalize,[],[normalize_4_3]) ).
cnf(refute_4_1,plain,
( ~ ip(uri_ex_p)
| iext(uri_rdf_type,uri_ex_p,uri_rdf_Property) ),
inference(subst,[],[refute_4_0:[bind(P,$fot(uri_ex_p))]]) ).
cnf(refute_4_2,plain,
iext(uri_ex_p,uri_ex_s,uri_ex_o),
inference(canonicalize,[],[normalize_4_4]) ).
cnf(refute_4_3,plain,
( ~ iext(P,S,O)
| ip(P) ),
inference(canonicalize,[],[normalize_4_7]) ).
cnf(refute_4_4,plain,
( ~ iext(uri_ex_p,uri_ex_s,uri_ex_o)
| ip(uri_ex_p) ),
inference(subst,[],[refute_4_3:[bind(O,$fot(uri_ex_o)),bind(P,$fot(uri_ex_p)),bind(S,$fot(uri_ex_s))]]) ).
cnf(refute_4_5,plain,
ip(uri_ex_p),
inference(resolve,[$cnf( iext(uri_ex_p,uri_ex_s,uri_ex_o) )],[refute_4_2,refute_4_4]) ).
cnf(refute_4_6,plain,
iext(uri_rdf_type,uri_ex_p,uri_rdf_Property),
inference(resolve,[$cnf( ip(uri_ex_p) )],[refute_4_5,refute_4_1]) ).
cnf(refute_4_7,plain,
~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property),
inference(canonicalize,[],[normalize_4_9]) ).
cnf(refute_4_8,plain,
$false,
inference(resolve,[$cnf( iext(uri_rdf_type,uri_ex_p,uri_rdf_Property) )],[refute_4_6,refute_4_7]) ).
fof(negate_5_0,plain,
~ ( ( iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdf_Property) )
=> iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
inference(negate,[],[subgoal_5]) ).
fof(normalize_5_0,plain,
! [X] :
( ~ icext(uri_owl_ObjectProperty,X)
<=> ~ ip(X) ),
inference(canonicalize,[],[owl_class_objectproperty_ext]) ).
fof(normalize_5_1,plain,
! [X] :
( ~ icext(uri_owl_ObjectProperty,X)
<=> ~ ip(X) ),
inference(specialize,[],[normalize_5_0]) ).
fof(normalize_5_2,plain,
! [X] :
( ( ~ icext(uri_owl_ObjectProperty,X)
| ip(X) )
& ( ~ ip(X)
| icext(uri_owl_ObjectProperty,X) ) ),
inference(clausify,[],[normalize_5_1]) ).
fof(normalize_5_3,plain,
! [X] :
( ~ ip(X)
| icext(uri_owl_ObjectProperty,X) ),
inference(conjunct,[],[normalize_5_2]) ).
fof(normalize_5_4,plain,
( ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
& iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
& iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
inference(canonicalize,[],[negate_5_0]) ).
fof(normalize_5_5,plain,
iext(uri_rdf_type,uri_ex_p,uri_rdf_Property),
inference(conjunct,[],[normalize_5_4]) ).
fof(normalize_5_6,plain,
! [P] :
( ~ iext(uri_rdf_type,P,uri_rdf_Property)
<=> ~ ip(P) ),
inference(canonicalize,[],[rdf_type_ip]) ).
fof(normalize_5_7,plain,
! [P] :
( ~ iext(uri_rdf_type,P,uri_rdf_Property)
<=> ~ ip(P) ),
inference(specialize,[],[normalize_5_6]) ).
fof(normalize_5_8,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_5_7]) ).
fof(normalize_5_9,plain,
! [P] :
( ~ iext(uri_rdf_type,P,uri_rdf_Property)
| ip(P) ),
inference(conjunct,[],[normalize_5_8]) ).
fof(normalize_5_10,plain,
! [C,X] :
( ~ icext(C,X)
<=> ~ iext(uri_rdf_type,X,C) ),
inference(canonicalize,[],[rdfs_cext_def]) ).
fof(normalize_5_11,plain,
! [C,X] :
( ~ icext(C,X)
<=> ~ iext(uri_rdf_type,X,C) ),
inference(specialize,[],[normalize_5_10]) ).
fof(normalize_5_12,plain,
! [C,X] :
( ( ~ icext(C,X)
| iext(uri_rdf_type,X,C) )
& ( ~ iext(uri_rdf_type,X,C)
| icext(C,X) ) ),
inference(clausify,[],[normalize_5_11]) ).
fof(normalize_5_13,plain,
! [C,X] :
( ~ icext(C,X)
| iext(uri_rdf_type,X,C) ),
inference(conjunct,[],[normalize_5_12]) ).
fof(normalize_5_14,plain,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty),
inference(conjunct,[],[normalize_5_4]) ).
cnf(refute_5_0,plain,
( ~ ip(X)
| icext(uri_owl_ObjectProperty,X) ),
inference(canonicalize,[],[normalize_5_3]) ).
cnf(refute_5_1,plain,
( ~ ip(uri_ex_p)
| icext(uri_owl_ObjectProperty,uri_ex_p) ),
inference(subst,[],[refute_5_0:[bind(X,$fot(uri_ex_p))]]) ).
cnf(refute_5_2,plain,
iext(uri_rdf_type,uri_ex_p,uri_rdf_Property),
inference(canonicalize,[],[normalize_5_5]) ).
cnf(refute_5_3,plain,
( ~ iext(uri_rdf_type,P,uri_rdf_Property)
| ip(P) ),
inference(canonicalize,[],[normalize_5_9]) ).
cnf(refute_5_4,plain,
( ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
| ip(uri_ex_p) ),
inference(subst,[],[refute_5_3:[bind(P,$fot(uri_ex_p))]]) ).
cnf(refute_5_5,plain,
ip(uri_ex_p),
inference(resolve,[$cnf( iext(uri_rdf_type,uri_ex_p,uri_rdf_Property) )],[refute_5_2,refute_5_4]) ).
cnf(refute_5_6,plain,
icext(uri_owl_ObjectProperty,uri_ex_p),
inference(resolve,[$cnf( ip(uri_ex_p) )],[refute_5_5,refute_5_1]) ).
cnf(refute_5_7,plain,
( ~ icext(C,X)
| iext(uri_rdf_type,X,C) ),
inference(canonicalize,[],[normalize_5_13]) ).
cnf(refute_5_8,plain,
( ~ icext(uri_owl_ObjectProperty,uri_ex_p)
| iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
inference(subst,[],[refute_5_7:[bind(C,$fot(uri_owl_ObjectProperty)),bind(X,$fot(uri_ex_p))]]) ).
cnf(refute_5_9,plain,
iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty),
inference(resolve,[$cnf( icext(uri_owl_ObjectProperty,uri_ex_p) )],[refute_5_6,refute_5_8]) ).
cnf(refute_5_10,plain,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty),
inference(canonicalize,[],[normalize_5_14]) ).
cnf(refute_5_11,plain,
$false,
inference(resolve,[$cnf( iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) )],[refute_5_9,refute_5_10]) ).
fof(negate_6_0,plain,
~ ( ( iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) )
=> iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource) ),
inference(negate,[],[subgoal_6]) ).
fof(normalize_6_0,plain,
( ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
& iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
& iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
inference(canonicalize,[],[negate_6_0]) ).
fof(normalize_6_1,plain,
~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_2,plain,
! [X] :
( ~ icext(uri_rdfs_Resource,X)
<=> ~ ir(X) ),
inference(canonicalize,[],[rdfs_ir_def]) ).
fof(normalize_6_3,plain,
! [X] : ir(X),
inference(canonicalize,[],[simple_ir]) ).
fof(normalize_6_4,plain,
! [X] : ir(X),
inference(specialize,[],[normalize_6_3]) ).
fof(normalize_6_5,plain,
! [X] : icext(uri_rdfs_Resource,X),
inference(simplify,[],[normalize_6_2,normalize_6_4]) ).
fof(normalize_6_6,plain,
! [X] : icext(uri_rdfs_Resource,X),
inference(specialize,[],[normalize_6_5]) ).
fof(normalize_6_7,plain,
! [C,X] :
( ~ icext(C,X)
<=> ~ iext(uri_rdf_type,X,C) ),
inference(canonicalize,[],[rdfs_cext_def]) ).
fof(normalize_6_8,plain,
! [C,X] :
( ~ icext(C,X)
<=> ~ iext(uri_rdf_type,X,C) ),
inference(specialize,[],[normalize_6_7]) ).
fof(normalize_6_9,plain,
! [C,X] :
( ( ~ icext(C,X)
| iext(uri_rdf_type,X,C) )
& ( ~ iext(uri_rdf_type,X,C)
| icext(C,X) ) ),
inference(clausify,[],[normalize_6_8]) ).
fof(normalize_6_10,plain,
! [C,X] :
( ~ icext(C,X)
| iext(uri_rdf_type,X,C) ),
inference(conjunct,[],[normalize_6_9]) ).
cnf(refute_6_0,plain,
~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource),
inference(canonicalize,[],[normalize_6_1]) ).
cnf(refute_6_1,plain,
icext(uri_rdfs_Resource,X),
inference(canonicalize,[],[normalize_6_6]) ).
cnf(refute_6_2,plain,
icext(uri_rdfs_Resource,X_79),
inference(subst,[],[refute_6_1:[bind(X,$fot(X_79))]]) ).
cnf(refute_6_3,plain,
( ~ icext(C,X)
| iext(uri_rdf_type,X,C) ),
inference(canonicalize,[],[normalize_6_10]) ).
cnf(refute_6_4,plain,
( ~ icext(uri_rdfs_Resource,X_79)
| iext(uri_rdf_type,X_79,uri_rdfs_Resource) ),
inference(subst,[],[refute_6_3:[bind(C,$fot(uri_rdfs_Resource)),bind(X,$fot(X_79))]]) ).
cnf(refute_6_5,plain,
iext(uri_rdf_type,X_79,uri_rdfs_Resource),
inference(resolve,[$cnf( icext(uri_rdfs_Resource,X_79) )],[refute_6_2,refute_6_4]) ).
cnf(refute_6_6,plain,
iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource),
inference(subst,[],[refute_6_5:[bind(X_79,$fot(uri_ex_o))]]) ).
cnf(refute_6_7,plain,
$false,
inference(resolve,[$cnf( iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource) )],[refute_6_6,refute_6_0]) ).
fof(negate_7_0,plain,
~ ( ( iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
& iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource) )
=> iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ),
inference(negate,[],[subgoal_7]) ).
fof(normalize_7_0,plain,
( ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
& iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
& iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
inference(canonicalize,[],[negate_7_0]) ).
fof(normalize_7_1,plain,
~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing),
inference(conjunct,[],[normalize_7_0]) ).
fof(normalize_7_2,plain,
! [X] :
( ~ icext(uri_owl_Thing,X)
<=> ~ ir(X) ),
inference(canonicalize,[],[owl_class_thing_ext]) ).
fof(normalize_7_3,plain,
! [X] : ir(X),
inference(canonicalize,[],[simple_ir]) ).
fof(normalize_7_4,plain,
! [X] : ir(X),
inference(specialize,[],[normalize_7_3]) ).
fof(normalize_7_5,plain,
! [X] : icext(uri_owl_Thing,X),
inference(simplify,[],[normalize_7_2,normalize_7_4]) ).
fof(normalize_7_6,plain,
! [X] : icext(uri_owl_Thing,X),
inference(specialize,[],[normalize_7_5]) ).
fof(normalize_7_7,plain,
! [C,X] :
( ~ icext(C,X)
<=> ~ iext(uri_rdf_type,X,C) ),
inference(canonicalize,[],[rdfs_cext_def]) ).
fof(normalize_7_8,plain,
! [C,X] :
( ~ icext(C,X)
<=> ~ iext(uri_rdf_type,X,C) ),
inference(specialize,[],[normalize_7_7]) ).
fof(normalize_7_9,plain,
! [C,X] :
( ( ~ icext(C,X)
| iext(uri_rdf_type,X,C) )
& ( ~ iext(uri_rdf_type,X,C)
| icext(C,X) ) ),
inference(clausify,[],[normalize_7_8]) ).
fof(normalize_7_10,plain,
! [C,X] :
( ~ icext(C,X)
| iext(uri_rdf_type,X,C) ),
inference(conjunct,[],[normalize_7_9]) ).
cnf(refute_7_0,plain,
~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing),
inference(canonicalize,[],[normalize_7_1]) ).
cnf(refute_7_1,plain,
icext(uri_owl_Thing,X),
inference(canonicalize,[],[normalize_7_6]) ).
cnf(refute_7_2,plain,
icext(uri_owl_Thing,X_90),
inference(subst,[],[refute_7_1:[bind(X,$fot(X_90))]]) ).
cnf(refute_7_3,plain,
( ~ icext(C,X)
| iext(uri_rdf_type,X,C) ),
inference(canonicalize,[],[normalize_7_10]) ).
cnf(refute_7_4,plain,
( ~ icext(uri_owl_Thing,X_90)
| iext(uri_rdf_type,X_90,uri_owl_Thing) ),
inference(subst,[],[refute_7_3:[bind(C,$fot(uri_owl_Thing)),bind(X,$fot(X_90))]]) ).
cnf(refute_7_5,plain,
iext(uri_rdf_type,X_90,uri_owl_Thing),
inference(resolve,[$cnf( icext(uri_owl_Thing,X_90) )],[refute_7_2,refute_7_4]) ).
cnf(refute_7_6,plain,
iext(uri_rdf_type,uri_ex_o,uri_owl_Thing),
inference(subst,[],[refute_7_5:[bind(X_90,$fot(uri_ex_o))]]) ).
cnf(refute_7_7,plain,
$false,
inference(resolve,[$cnf( iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) )],[refute_7_6,refute_7_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWB005+2 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.32 % Computer : n027.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Wed Jun 1 06:12:48 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.17/0.36 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.36
% 0.17/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.17/0.37
%------------------------------------------------------------------------------