TSTP Solution File: SWB031+2 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWB031+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 19:15:32 EDT 2022
% Result : Unsatisfiable 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 8
% Syntax : Number of formulae : 56 ( 27 unt; 0 def)
% Number of atoms : 173 ( 20 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 208 ( 91 ~; 80 |; 22 &)
% ( 14 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 83 ( 11 sgn 41 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(simple_ir,axiom,
! [X] : ir(X) ).
fof(owl_class_thing_ext,axiom,
! [X] :
( icext(uri_owl_Thing,X)
<=> ir(X) ) ).
fof(owl_class_nothing_ext,axiom,
! [X] : ~ icext(uri_owl_Nothing,X) ).
fof(owl_enum_class_001,axiom,
! [Z,S1,A1] :
( ( iext(uri_rdf_first,S1,A1)
& iext(uri_rdf_rest,S1,uri_rdf_nil) )
=> ( iext(uri_owl_oneOf,Z,S1)
<=> ( ic(Z)
& ! [X] :
( icext(Z,X)
<=> X = A1 ) ) ) ) ).
fof(owl_eqdis_equivalentclass,axiom,
! [C1,C2] :
( iext(uri_owl_equivalentClass,C1,C2)
<=> ( ic(C1)
& ic(C2)
& ! [X] :
( icext(C1,X)
<=> icext(C2,X) ) ) ) ).
fof(testcase_premise_fullish_031_Large_Universe,axiom,
? [BNODE_x,BNODE_l] :
( iext(uri_owl_equivalentClass,uri_owl_Thing,BNODE_x)
& iext(uri_owl_oneOf,BNODE_x,BNODE_l)
& iext(uri_rdf_first,BNODE_l,uri_ex_w)
& iext(uri_rdf_rest,BNODE_l,uri_rdf_nil) ) ).
fof(normalize_0_0,plain,
! [X] : ~ icext(uri_owl_Nothing,X),
inference(canonicalize,[],[owl_class_nothing_ext]) ).
fof(normalize_0_1,plain,
! [X] : ~ icext(uri_owl_Nothing,X),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
? [BNODE_l,BNODE_x] :
( iext(uri_owl_equivalentClass,uri_owl_Thing,BNODE_x)
& iext(uri_owl_oneOf,BNODE_x,BNODE_l)
& iext(uri_rdf_first,BNODE_l,uri_ex_w)
& iext(uri_rdf_rest,BNODE_l,uri_rdf_nil) ),
inference(canonicalize,[],[testcase_premise_fullish_031_Large_Universe]) ).
fof(normalize_0_3,plain,
( iext(uri_owl_equivalentClass,uri_owl_Thing,skolemFOFtoCNF_BNODE_x)
& iext(uri_owl_oneOf,skolemFOFtoCNF_BNODE_x,skolemFOFtoCNF_BNODE_l)
& iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l,uri_ex_w)
& iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l,uri_rdf_nil) ),
inference(skolemize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l,uri_ex_w),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
iext(uri_owl_equivalentClass,uri_owl_Thing,skolemFOFtoCNF_BNODE_x),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_6,plain,
! [C1,C2] :
( ~ iext(uri_owl_equivalentClass,C1,C2)
<=> ( ~ ic(C1)
| ~ ic(C2)
| ? [X] :
( ~ icext(C1,X)
<=> icext(C2,X) ) ) ),
inference(canonicalize,[],[owl_eqdis_equivalentclass]) ).
fof(normalize_0_7,plain,
! [C1,C2] :
( ~ iext(uri_owl_equivalentClass,C1,C2)
<=> ( ~ ic(C1)
| ~ ic(C2)
| ? [X] :
( ~ icext(C1,X)
<=> icext(C2,X) ) ) ),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [C1,C2,X] :
( ( ~ iext(uri_owl_equivalentClass,C1,C2)
| ic(C1) )
& ( ~ iext(uri_owl_equivalentClass,C1,C2)
| ic(C2) )
& ( ~ icext(C1,X)
| ~ iext(uri_owl_equivalentClass,C1,C2)
| icext(C2,X) )
& ( ~ icext(C2,X)
| ~ iext(uri_owl_equivalentClass,C1,C2)
| icext(C1,X) )
& ( ~ ic(C1)
| ~ ic(C2)
| ~ icext(C1,skolemFOFtoCNF_X_1(C1,C2))
| ~ icext(C2,skolemFOFtoCNF_X_1(C1,C2))
| iext(uri_owl_equivalentClass,C1,C2) )
& ( ~ ic(C1)
| ~ ic(C2)
| icext(C1,skolemFOFtoCNF_X_1(C1,C2))
| icext(C2,skolemFOFtoCNF_X_1(C1,C2))
| iext(uri_owl_equivalentClass,C1,C2) ) ),
inference(clausify,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [C1,C2,X] :
( ~ icext(C1,X)
| ~ iext(uri_owl_equivalentClass,C1,C2)
| icext(C2,X) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [X] :
( ~ icext(uri_owl_Thing,X)
<=> ~ ir(X) ),
inference(canonicalize,[],[owl_class_thing_ext]) ).
fof(normalize_0_11,plain,
! [X] : ir(X),
inference(canonicalize,[],[simple_ir]) ).
fof(normalize_0_12,plain,
! [X] : ir(X),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [X] : icext(uri_owl_Thing,X),
inference(simplify,[],[normalize_0_10,normalize_0_12]) ).
fof(normalize_0_14,plain,
! [X] : icext(uri_owl_Thing,X),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l,uri_rdf_nil),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_16,plain,
! [A1,S1,Z] :
( ~ iext(uri_rdf_first,S1,A1)
| ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
| ( ~ iext(uri_owl_oneOf,Z,S1)
<=> ( ~ ic(Z)
| ? [X] :
( X != A1
<=> icext(Z,X) ) ) ) ),
inference(canonicalize,[],[owl_enum_class_001]) ).
fof(normalize_0_17,plain,
! [A1,S1,Z] :
( ~ iext(uri_rdf_first,S1,A1)
| ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
| ( ~ iext(uri_owl_oneOf,Z,S1)
<=> ( ~ ic(Z)
| ? [X] :
( X != A1
<=> icext(Z,X) ) ) ) ),
inference(specialize,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [A1,S1,X,Z] :
( ( ~ iext(uri_owl_oneOf,Z,S1)
| ~ iext(uri_rdf_first,S1,A1)
| ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
| ic(Z) )
& ( X != A1
| ~ iext(uri_owl_oneOf,Z,S1)
| ~ iext(uri_rdf_first,S1,A1)
| ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
| icext(Z,X) )
& ( ~ icext(Z,X)
| ~ iext(uri_owl_oneOf,Z,S1)
| ~ iext(uri_rdf_first,S1,A1)
| ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
| X = A1 )
& ( skolemFOFtoCNF_X(A1,Z) != A1
| ~ ic(Z)
| ~ icext(Z,skolemFOFtoCNF_X(A1,Z))
| ~ iext(uri_rdf_first,S1,A1)
| ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
| iext(uri_owl_oneOf,Z,S1) )
& ( ~ ic(Z)
| ~ iext(uri_rdf_first,S1,A1)
| ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
| skolemFOFtoCNF_X(A1,Z) = A1
| icext(Z,skolemFOFtoCNF_X(A1,Z))
| iext(uri_owl_oneOf,Z,S1) ) ),
inference(clausify,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [A1,S1,X,Z] :
( ~ icext(Z,X)
| ~ iext(uri_owl_oneOf,Z,S1)
| ~ iext(uri_rdf_first,S1,A1)
| ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
| X = A1 ),
inference(conjunct,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
iext(uri_owl_oneOf,skolemFOFtoCNF_BNODE_x,skolemFOFtoCNF_BNODE_l),
inference(conjunct,[],[normalize_0_3]) ).
cnf(refute_0_0,plain,
~ icext(uri_owl_Nothing,X),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l,uri_ex_w),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
iext(uri_owl_equivalentClass,uri_owl_Thing,skolemFOFtoCNF_BNODE_x),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_3,plain,
( ~ icext(C1,X)
| ~ iext(uri_owl_equivalentClass,C1,C2)
| icext(C2,X) ),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_4,plain,
( ~ icext(uri_owl_Thing,X_11)
| ~ iext(uri_owl_equivalentClass,uri_owl_Thing,skolemFOFtoCNF_BNODE_x)
| icext(skolemFOFtoCNF_BNODE_x,X_11) ),
inference(subst,[],[refute_0_3:[bind(C1,$fot(uri_owl_Thing)),bind(C2,$fot(skolemFOFtoCNF_BNODE_x)),bind(X,$fot(X_11))]]) ).
cnf(refute_0_5,plain,
( ~ icext(uri_owl_Thing,X_11)
| icext(skolemFOFtoCNF_BNODE_x,X_11) ),
inference(resolve,[$cnf( iext(uri_owl_equivalentClass,uri_owl_Thing,skolemFOFtoCNF_BNODE_x) )],[refute_0_2,refute_0_4]) ).
cnf(refute_0_6,plain,
icext(uri_owl_Thing,X),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_7,plain,
icext(uri_owl_Thing,X_11),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_11))]]) ).
cnf(refute_0_8,plain,
icext(skolemFOFtoCNF_BNODE_x,X_11),
inference(resolve,[$cnf( icext(uri_owl_Thing,X_11) )],[refute_0_7,refute_0_5]) ).
cnf(refute_0_9,plain,
icext(skolemFOFtoCNF_BNODE_x,X_55),
inference(subst,[],[refute_0_8:[bind(X_11,$fot(X_55))]]) ).
cnf(refute_0_10,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l,uri_rdf_nil),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_11,plain,
( ~ icext(Z,X)
| ~ iext(uri_owl_oneOf,Z,S1)
| ~ iext(uri_rdf_first,S1,A1)
| ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
| X = A1 ),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_12,plain,
( ~ icext(X_47,X_46)
| ~ iext(uri_owl_oneOf,X_47,skolemFOFtoCNF_BNODE_l)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l,X_44)
| ~ iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l,uri_rdf_nil)
| X_46 = X_44 ),
inference(subst,[],[refute_0_11:[bind(A1,$fot(X_44)),bind(S1,$fot(skolemFOFtoCNF_BNODE_l)),bind(X,$fot(X_46)),bind(Z,$fot(X_47))]]) ).
cnf(refute_0_13,plain,
( ~ icext(X_47,X_46)
| ~ iext(uri_owl_oneOf,X_47,skolemFOFtoCNF_BNODE_l)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l,X_44)
| X_46 = X_44 ),
inference(resolve,[$cnf( iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l,uri_rdf_nil) )],[refute_0_10,refute_0_12]) ).
cnf(refute_0_14,plain,
( ~ icext(skolemFOFtoCNF_BNODE_x,X_55)
| ~ iext(uri_owl_oneOf,skolemFOFtoCNF_BNODE_x,skolemFOFtoCNF_BNODE_l)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l,X_54)
| X_55 = X_54 ),
inference(subst,[],[refute_0_13:[bind(X_44,$fot(X_54)),bind(X_46,$fot(X_55)),bind(X_47,$fot(skolemFOFtoCNF_BNODE_x))]]) ).
cnf(refute_0_15,plain,
( ~ iext(uri_owl_oneOf,skolemFOFtoCNF_BNODE_x,skolemFOFtoCNF_BNODE_l)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l,X_54)
| X_55 = X_54 ),
inference(resolve,[$cnf( icext(skolemFOFtoCNF_BNODE_x,X_55) )],[refute_0_9,refute_0_14]) ).
cnf(refute_0_16,plain,
iext(uri_owl_oneOf,skolemFOFtoCNF_BNODE_x,skolemFOFtoCNF_BNODE_l),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_17,plain,
( ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l,X_54)
| X_55 = X_54 ),
inference(resolve,[$cnf( iext(uri_owl_oneOf,skolemFOFtoCNF_BNODE_x,skolemFOFtoCNF_BNODE_l) )],[refute_0_16,refute_0_15]) ).
cnf(refute_0_18,plain,
( ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l,uri_ex_w)
| X_58 = uri_ex_w ),
inference(subst,[],[refute_0_17:[bind(X_54,$fot(uri_ex_w)),bind(X_55,$fot(X_58))]]) ).
cnf(refute_0_19,plain,
X_58 = uri_ex_w,
inference(resolve,[$cnf( iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l,uri_ex_w) )],[refute_0_1,refute_0_18]) ).
cnf(refute_0_20,plain,
uri_owl_Nothing = uri_ex_w,
inference(subst,[],[refute_0_19:[bind(X_58,$fot(uri_owl_Nothing))]]) ).
cnf(refute_0_21,plain,
( uri_owl_Nothing != uri_ex_w
| ~ icext(uri_ex_w,X)
| icext(uri_owl_Nothing,X) ),
introduced(tautology,[equality,[$cnf( ~ icext(uri_owl_Nothing,X) ),[0],$fot(uri_ex_w)]]) ).
cnf(refute_0_22,plain,
( ~ icext(uri_ex_w,X)
| icext(uri_owl_Nothing,X) ),
inference(resolve,[$cnf( $equal(uri_owl_Nothing,uri_ex_w) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
~ icext(uri_ex_w,X),
inference(resolve,[$cnf( icext(uri_owl_Nothing,X) )],[refute_0_22,refute_0_0]) ).
cnf(refute_0_24,plain,
uri_owl_Thing = uri_ex_w,
inference(subst,[],[refute_0_19:[bind(X_58,$fot(uri_owl_Thing))]]) ).
cnf(refute_0_25,plain,
( uri_owl_Thing != uri_ex_w
| ~ icext(uri_owl_Thing,X)
| icext(uri_ex_w,X) ),
introduced(tautology,[equality,[$cnf( icext(uri_owl_Thing,X) ),[0],$fot(uri_ex_w)]]) ).
cnf(refute_0_26,plain,
( ~ icext(uri_owl_Thing,X)
| icext(uri_ex_w,X) ),
inference(resolve,[$cnf( $equal(uri_owl_Thing,uri_ex_w) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
icext(uri_ex_w,X),
inference(resolve,[$cnf( icext(uri_owl_Thing,X) )],[refute_0_6,refute_0_26]) ).
cnf(refute_0_28,plain,
$false,
inference(resolve,[$cnf( icext(uri_ex_w,X) )],[refute_0_27,refute_0_23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : SWB031+2 : TPTP v8.1.0. Released v5.2.0.
% 0.09/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n027.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 00:46:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.35 % SZS status Unsatisfiable 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
% 0.12/0.36
%------------------------------------------------------------------------------