TSTP Solution File: SWB017+2 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWB017+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 19:15:23 EDT 2022
% Result : Theorem 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 35 ( 15 unt; 0 def)
% Number of atoms : 85 ( 10 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 91 ( 41 ~; 30 |; 14 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 38 ( 0 sgn 26 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(owl_eqdis_differentfrom,axiom,
! [X,Y] :
( iext(uri_owl_differentFrom,X,Y)
<=> X != Y ) ).
fof(owl_eqdis_propertydisjointwith,axiom,
! [P1,P2] :
( iext(uri_owl_propertyDisjointWith,P1,P2)
<=> ( ip(P1)
& ip(P2)
& ! [X,Y] :
~ ( iext(P1,X,Y)
& iext(P2,X,Y) ) ) ) ).
fof(testcase_conclusion_fullish_017_Built_in_Based_Definitions,conjecture,
iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u) ).
fof(testcase_premise_fullish_017_Built_in_Based_Definitions,axiom,
( iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,uri_rdf_type)
& iext(uri_rdf_type,uri_ex_w,uri_ex_c)
& iext(uri_ex_notInstanceOf,uri_ex_u,uri_ex_c) ) ).
fof(subgoal_0,plain,
iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
inference(strip,[],[testcase_conclusion_fullish_017_Built_in_Based_Definitions]) ).
fof(negate_0_0,plain,
~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( iext(uri_ex_notInstanceOf,uri_ex_u,uri_ex_c)
& iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,uri_rdf_type)
& iext(uri_rdf_type,uri_ex_w,uri_ex_c) ),
inference(canonicalize,[],[testcase_premise_fullish_017_Built_in_Based_Definitions]) ).
fof(normalize_0_1,plain,
iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,uri_rdf_type),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
iext(uri_rdf_type,uri_ex_w,uri_ex_c),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_3,plain,
~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_4,plain,
! [X,Y] :
( X != Y
<=> iext(uri_owl_differentFrom,X,Y) ),
inference(canonicalize,[],[owl_eqdis_differentfrom]) ).
fof(normalize_0_5,plain,
! [X,Y] :
( X != Y
<=> iext(uri_owl_differentFrom,X,Y) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X,Y] :
( ( X != Y
| ~ iext(uri_owl_differentFrom,X,Y) )
& ( X = Y
| iext(uri_owl_differentFrom,X,Y) ) ),
inference(clausify,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [X,Y] :
( X = Y
| iext(uri_owl_differentFrom,X,Y) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [P1,P2] :
( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
<=> ( ~ ip(P1)
| ~ ip(P2)
| ? [X,Y] :
( iext(P1,X,Y)
& iext(P2,X,Y) ) ) ),
inference(canonicalize,[],[owl_eqdis_propertydisjointwith]) ).
fof(normalize_0_9,plain,
! [P1,P2] :
( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
<=> ( ~ ip(P1)
| ~ ip(P2)
| ? [X,Y] :
( iext(P1,X,Y)
& iext(P2,X,Y) ) ) ),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [P1,P2,X,Y] :
( ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
| ip(P1) )
& ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
| ip(P2) )
& ( ~ iext(P1,X,Y)
| ~ iext(P2,X,Y)
| ~ iext(uri_owl_propertyDisjointWith,P1,P2) )
& ( ~ ip(P1)
| ~ ip(P2)
| iext(P1,skolemFOFtoCNF_X(P1,P2),skolemFOFtoCNF_Y(P1,P2))
| iext(uri_owl_propertyDisjointWith,P1,P2) )
& ( ~ ip(P1)
| ~ ip(P2)
| iext(P2,skolemFOFtoCNF_X(P1,P2),skolemFOFtoCNF_Y(P1,P2))
| iext(uri_owl_propertyDisjointWith,P1,P2) ) ),
inference(clausify,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [P1,P2,X,Y] :
( ~ iext(P1,X,Y)
| ~ iext(P2,X,Y)
| ~ iext(uri_owl_propertyDisjointWith,P1,P2) ),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
iext(uri_ex_notInstanceOf,uri_ex_u,uri_ex_c),
inference(conjunct,[],[normalize_0_0]) ).
cnf(refute_0_0,plain,
iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,uri_rdf_type),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
iext(uri_rdf_type,uri_ex_w,uri_ex_c),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_2,plain,
~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_3,plain,
( X = Y
| iext(uri_owl_differentFrom,X,Y) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_4,plain,
( uri_ex_w = uri_ex_u
| iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(uri_ex_w)),bind(Y,$fot(uri_ex_u))]]) ).
cnf(refute_0_5,plain,
uri_ex_w = uri_ex_u,
inference(resolve,[$cnf( iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u) )],[refute_0_4,refute_0_2]) ).
cnf(refute_0_6,plain,
( uri_ex_w != uri_ex_u
| ~ iext(uri_rdf_type,uri_ex_w,uri_ex_c)
| iext(uri_rdf_type,uri_ex_u,uri_ex_c) ),
introduced(tautology,[equality,[$cnf( iext(uri_rdf_type,uri_ex_w,uri_ex_c) ),[1],$fot(uri_ex_u)]]) ).
cnf(refute_0_7,plain,
( ~ iext(uri_rdf_type,uri_ex_w,uri_ex_c)
| iext(uri_rdf_type,uri_ex_u,uri_ex_c) ),
inference(resolve,[$cnf( $equal(uri_ex_w,uri_ex_u) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
iext(uri_rdf_type,uri_ex_u,uri_ex_c),
inference(resolve,[$cnf( iext(uri_rdf_type,uri_ex_w,uri_ex_c) )],[refute_0_1,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ iext(P1,X,Y)
| ~ iext(P2,X,Y)
| ~ iext(uri_owl_propertyDisjointWith,P1,P2) ),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_10,plain,
( ~ iext(X_15,uri_ex_u,uri_ex_c)
| ~ iext(uri_owl_propertyDisjointWith,X_15,uri_rdf_type)
| ~ iext(uri_rdf_type,uri_ex_u,uri_ex_c) ),
inference(subst,[],[refute_0_9:[bind(P1,$fot(X_15)),bind(P2,$fot(uri_rdf_type)),bind(X,$fot(uri_ex_u)),bind(Y,$fot(uri_ex_c))]]) ).
cnf(refute_0_11,plain,
( ~ iext(X_15,uri_ex_u,uri_ex_c)
| ~ iext(uri_owl_propertyDisjointWith,X_15,uri_rdf_type) ),
inference(resolve,[$cnf( iext(uri_rdf_type,uri_ex_u,uri_ex_c) )],[refute_0_8,refute_0_10]) ).
cnf(refute_0_12,plain,
( ~ iext(uri_ex_notInstanceOf,uri_ex_u,uri_ex_c)
| ~ iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,uri_rdf_type) ),
inference(subst,[],[refute_0_11:[bind(X_15,$fot(uri_ex_notInstanceOf))]]) ).
cnf(refute_0_13,plain,
~ iext(uri_ex_notInstanceOf,uri_ex_u,uri_ex_c),
inference(resolve,[$cnf( iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,uri_rdf_type) )],[refute_0_0,refute_0_12]) ).
cnf(refute_0_14,plain,
iext(uri_ex_notInstanceOf,uri_ex_u,uri_ex_c),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_15,plain,
$false,
inference(resolve,[$cnf( iext(uri_ex_notInstanceOf,uri_ex_u,uri_ex_c) )],[refute_0_14,refute_0_13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWB017+2 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n026.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 11:34:41 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35
% 0.12/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.35
%------------------------------------------------------------------------------