TSTP Solution File: SWB030+2 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWB030+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 19:15:32 EDT 2022
% Result : Unsatisfiable 0.16s 0.31s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 4
% Syntax : Number of formulae : 57 ( 11 unt; 0 def)
% Number of atoms : 165 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 191 ( 83 ~; 73 |; 24 &)
% ( 9 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-2 aty)
% Number of variables : 91 ( 2 sgn 54 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(rdfs_cext_def,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ) ).
fof(owl_restrict_hasself,axiom,
! [Z,P,V] :
( ( iext(uri_owl_hasSelf,Z,V)
& iext(uri_owl_onProperty,Z,P) )
=> ! [X] :
( icext(Z,X)
<=> iext(P,X,X) ) ) ).
fof(owl_bool_complementof_class,axiom,
! [Z,C] :
( iext(uri_owl_complementOf,Z,C)
=> ( ic(Z)
& ic(C)
& ! [X] :
( icext(Z,X)
<=> ~ icext(C,X) ) ) ) ).
fof(testcase_premise_fullish_030_Bad_Class,axiom,
? [BNODE_x] :
( iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
& iext(uri_owl_complementOf,uri_ex_c,BNODE_x)
& iext(uri_rdf_type,BNODE_x,uri_owl_Restriction)
& iext(uri_owl_onProperty,BNODE_x,uri_rdf_type)
& iext(uri_owl_hasSelf,BNODE_x,literal_typed(dat_str_true,uri_xsd_boolean)) ) ).
fof(normalize_0_0,plain,
? [BNODE_x] :
( iext(uri_owl_complementOf,uri_ex_c,BNODE_x)
& iext(uri_owl_hasSelf,BNODE_x,literal_typed(dat_str_true,uri_xsd_boolean))
& iext(uri_owl_onProperty,BNODE_x,uri_rdf_type)
& iext(uri_rdf_type,BNODE_x,uri_owl_Restriction)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class) ),
inference(canonicalize,[],[testcase_premise_fullish_030_Bad_Class]) ).
fof(normalize_0_1,plain,
( iext(uri_owl_complementOf,uri_ex_c,skolemFOFtoCNF_BNODE_x)
& iext(uri_owl_hasSelf,skolemFOFtoCNF_BNODE_x,literal_typed(dat_str_true,uri_xsd_boolean))
& iext(uri_owl_onProperty,skolemFOFtoCNF_BNODE_x,uri_rdf_type)
& iext(uri_rdf_type,skolemFOFtoCNF_BNODE_x,uri_owl_Restriction)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
iext(uri_owl_complementOf,uri_ex_c,skolemFOFtoCNF_BNODE_x),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [C,Z] :
( ~ iext(uri_owl_complementOf,Z,C)
| ( ic(C)
& ic(Z)
& ! [X] :
( ~ icext(C,X)
<=> icext(Z,X) ) ) ),
inference(canonicalize,[],[owl_bool_complementof_class]) ).
fof(normalize_0_4,plain,
! [C,Z] :
( ~ iext(uri_owl_complementOf,Z,C)
| ( ic(C)
& ic(Z)
& ! [X] :
( ~ icext(C,X)
<=> icext(Z,X) ) ) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [C,X,Z] :
( ( ~ iext(uri_owl_complementOf,Z,C)
| ic(C) )
& ( ~ iext(uri_owl_complementOf,Z,C)
| ic(Z) )
& ( ~ icext(C,X)
| ~ icext(Z,X)
| ~ iext(uri_owl_complementOf,Z,C) )
& ( ~ iext(uri_owl_complementOf,Z,C)
| icext(C,X)
| icext(Z,X) ) ),
inference(clausify,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [C,X,Z] :
( ~ icext(C,X)
| ~ icext(Z,X)
| ~ iext(uri_owl_complementOf,Z,C) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [C,X] :
( ~ icext(C,X)
<=> ~ iext(uri_rdf_type,X,C) ),
inference(canonicalize,[],[rdfs_cext_def]) ).
fof(normalize_0_8,plain,
! [C,X] :
( ~ icext(C,X)
<=> ~ iext(uri_rdf_type,X,C) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_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_0_8]) ).
fof(normalize_0_10,plain,
! [C,X] :
( ~ iext(uri_rdf_type,X,C)
| icext(C,X) ),
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
iext(uri_owl_onProperty,skolemFOFtoCNF_BNODE_x,uri_rdf_type),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_12,plain,
iext(uri_owl_hasSelf,skolemFOFtoCNF_BNODE_x,literal_typed(dat_str_true,uri_xsd_boolean)),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_13,plain,
! [P,Z] :
( ~ iext(uri_owl_onProperty,Z,P)
| ! [V] : ~ iext(uri_owl_hasSelf,Z,V)
| ! [X] :
( ~ icext(Z,X)
<=> ~ iext(P,X,X) ) ),
inference(canonicalize,[],[owl_restrict_hasself]) ).
fof(normalize_0_14,plain,
! [P,Z] :
( ~ iext(uri_owl_onProperty,Z,P)
| ! [V] : ~ iext(uri_owl_hasSelf,Z,V)
| ! [X] :
( ~ icext(Z,X)
<=> ~ iext(P,X,X) ) ),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [P,V,X,Z] :
( ( ~ icext(Z,X)
| ~ iext(uri_owl_hasSelf,Z,V)
| ~ iext(uri_owl_onProperty,Z,P)
| iext(P,X,X) )
& ( ~ iext(P,X,X)
| ~ iext(uri_owl_hasSelf,Z,V)
| ~ iext(uri_owl_onProperty,Z,P)
| icext(Z,X) ) ),
inference(clausify,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [P,V,X,Z] :
( ~ icext(Z,X)
| ~ iext(uri_owl_hasSelf,Z,V)
| ~ iext(uri_owl_onProperty,Z,P)
| iext(P,X,X) ),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [C,X] :
( ~ icext(C,X)
| iext(uri_rdf_type,X,C) ),
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_18,plain,
! [C,X,Z] :
( ~ iext(uri_owl_complementOf,Z,C)
| icext(C,X)
| icext(Z,X) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_19,plain,
! [P,V,X,Z] :
( ~ iext(P,X,X)
| ~ iext(uri_owl_hasSelf,Z,V)
| ~ iext(uri_owl_onProperty,Z,P)
| icext(Z,X) ),
inference(conjunct,[],[normalize_0_15]) ).
cnf(refute_0_0,plain,
iext(uri_owl_complementOf,uri_ex_c,skolemFOFtoCNF_BNODE_x),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ icext(C,X)
| ~ icext(Z,X)
| ~ iext(uri_owl_complementOf,Z,C) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_2,plain,
( ~ icext(skolemFOFtoCNF_BNODE_x,X_13)
| ~ icext(uri_ex_c,X_13)
| ~ iext(uri_owl_complementOf,uri_ex_c,skolemFOFtoCNF_BNODE_x) ),
inference(subst,[],[refute_0_1:[bind(C,$fot(skolemFOFtoCNF_BNODE_x)),bind(X,$fot(X_13)),bind(Z,$fot(uri_ex_c))]]) ).
cnf(refute_0_3,plain,
( ~ icext(skolemFOFtoCNF_BNODE_x,X_13)
| ~ icext(uri_ex_c,X_13) ),
inference(resolve,[$cnf( iext(uri_owl_complementOf,uri_ex_c,skolemFOFtoCNF_BNODE_x) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ icext(skolemFOFtoCNF_BNODE_x,uri_ex_c)
| ~ icext(uri_ex_c,uri_ex_c) ),
inference(subst,[],[refute_0_3:[bind(X_13,$fot(uri_ex_c))]]) ).
cnf(refute_0_5,plain,
( ~ iext(uri_rdf_type,X,C)
| icext(C,X) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_6,plain,
( ~ iext(uri_rdf_type,uri_ex_c,uri_ex_c)
| icext(uri_ex_c,uri_ex_c) ),
inference(subst,[],[refute_0_5:[bind(C,$fot(uri_ex_c)),bind(X,$fot(uri_ex_c))]]) ).
cnf(refute_0_7,plain,
iext(uri_owl_onProperty,skolemFOFtoCNF_BNODE_x,uri_rdf_type),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_8,plain,
iext(uri_owl_hasSelf,skolemFOFtoCNF_BNODE_x,literal_typed(dat_str_true,uri_xsd_boolean)),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_9,plain,
( ~ icext(Z,X)
| ~ iext(uri_owl_hasSelf,Z,V)
| ~ iext(uri_owl_onProperty,Z,P)
| iext(P,X,X) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_10,plain,
( ~ icext(skolemFOFtoCNF_BNODE_x,X_28)
| ~ iext(uri_owl_hasSelf,skolemFOFtoCNF_BNODE_x,literal_typed(dat_str_true,uri_xsd_boolean))
| ~ iext(uri_owl_onProperty,skolemFOFtoCNF_BNODE_x,X_26)
| iext(X_26,X_28,X_28) ),
inference(subst,[],[refute_0_9:[bind(P,$fot(X_26)),bind(V,$fot(literal_typed(dat_str_true,uri_xsd_boolean))),bind(X,$fot(X_28)),bind(Z,$fot(skolemFOFtoCNF_BNODE_x))]]) ).
cnf(refute_0_11,plain,
( ~ icext(skolemFOFtoCNF_BNODE_x,X_28)
| ~ iext(uri_owl_onProperty,skolemFOFtoCNF_BNODE_x,X_26)
| iext(X_26,X_28,X_28) ),
inference(resolve,[$cnf( iext(uri_owl_hasSelf,skolemFOFtoCNF_BNODE_x,literal_typed(dat_str_true,uri_xsd_boolean)) )],[refute_0_8,refute_0_10]) ).
cnf(refute_0_12,plain,
( ~ icext(skolemFOFtoCNF_BNODE_x,X_31)
| ~ iext(uri_owl_onProperty,skolemFOFtoCNF_BNODE_x,uri_rdf_type)
| iext(uri_rdf_type,X_31,X_31) ),
inference(subst,[],[refute_0_11:[bind(X_26,$fot(uri_rdf_type)),bind(X_28,$fot(X_31))]]) ).
cnf(refute_0_13,plain,
( ~ icext(skolemFOFtoCNF_BNODE_x,X_31)
| iext(uri_rdf_type,X_31,X_31) ),
inference(resolve,[$cnf( iext(uri_owl_onProperty,skolemFOFtoCNF_BNODE_x,uri_rdf_type) )],[refute_0_7,refute_0_12]) ).
cnf(refute_0_14,plain,
( ~ icext(skolemFOFtoCNF_BNODE_x,uri_ex_c)
| iext(uri_rdf_type,uri_ex_c,uri_ex_c) ),
inference(subst,[],[refute_0_13:[bind(X_31,$fot(uri_ex_c))]]) ).
cnf(refute_0_15,plain,
( ~ icext(C,X)
| iext(uri_rdf_type,X,C) ),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_16,plain,
( ~ icext(uri_ex_c,X_19)
| iext(uri_rdf_type,X_19,uri_ex_c) ),
inference(subst,[],[refute_0_15:[bind(C,$fot(uri_ex_c)),bind(X,$fot(X_19))]]) ).
cnf(refute_0_17,plain,
( ~ iext(uri_owl_complementOf,Z,C)
| icext(C,X)
| icext(Z,X) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_18,plain,
( ~ iext(uri_owl_complementOf,uri_ex_c,skolemFOFtoCNF_BNODE_x)
| icext(skolemFOFtoCNF_BNODE_x,X_17)
| icext(uri_ex_c,X_17) ),
inference(subst,[],[refute_0_17:[bind(C,$fot(skolemFOFtoCNF_BNODE_x)),bind(X,$fot(X_17)),bind(Z,$fot(uri_ex_c))]]) ).
cnf(refute_0_19,plain,
( icext(skolemFOFtoCNF_BNODE_x,X_17)
| icext(uri_ex_c,X_17) ),
inference(resolve,[$cnf( iext(uri_owl_complementOf,uri_ex_c,skolemFOFtoCNF_BNODE_x) )],[refute_0_0,refute_0_18]) ).
cnf(refute_0_20,plain,
( icext(skolemFOFtoCNF_BNODE_x,X_19)
| icext(uri_ex_c,X_19) ),
inference(subst,[],[refute_0_19:[bind(X_17,$fot(X_19))]]) ).
cnf(refute_0_21,plain,
( icext(skolemFOFtoCNF_BNODE_x,X_19)
| iext(uri_rdf_type,X_19,uri_ex_c) ),
inference(resolve,[$cnf( icext(uri_ex_c,X_19) )],[refute_0_20,refute_0_16]) ).
cnf(refute_0_22,plain,
( icext(skolemFOFtoCNF_BNODE_x,uri_ex_c)
| iext(uri_rdf_type,uri_ex_c,uri_ex_c) ),
inference(subst,[],[refute_0_21:[bind(X_19,$fot(uri_ex_c))]]) ).
cnf(refute_0_23,plain,
( ~ iext(P,X,X)
| ~ iext(uri_owl_hasSelf,Z,V)
| ~ iext(uri_owl_onProperty,Z,P)
| icext(Z,X) ),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_24,plain,
( ~ iext(X_33,X_35,X_35)
| ~ iext(uri_owl_hasSelf,skolemFOFtoCNF_BNODE_x,literal_typed(dat_str_true,uri_xsd_boolean))
| ~ iext(uri_owl_onProperty,skolemFOFtoCNF_BNODE_x,X_33)
| icext(skolemFOFtoCNF_BNODE_x,X_35) ),
inference(subst,[],[refute_0_23:[bind(P,$fot(X_33)),bind(V,$fot(literal_typed(dat_str_true,uri_xsd_boolean))),bind(X,$fot(X_35)),bind(Z,$fot(skolemFOFtoCNF_BNODE_x))]]) ).
cnf(refute_0_25,plain,
( ~ iext(X_33,X_35,X_35)
| ~ iext(uri_owl_onProperty,skolemFOFtoCNF_BNODE_x,X_33)
| icext(skolemFOFtoCNF_BNODE_x,X_35) ),
inference(resolve,[$cnf( iext(uri_owl_hasSelf,skolemFOFtoCNF_BNODE_x,literal_typed(dat_str_true,uri_xsd_boolean)) )],[refute_0_8,refute_0_24]) ).
cnf(refute_0_26,plain,
( ~ iext(uri_owl_onProperty,skolemFOFtoCNF_BNODE_x,uri_rdf_type)
| ~ iext(uri_rdf_type,uri_ex_c,uri_ex_c)
| icext(skolemFOFtoCNF_BNODE_x,uri_ex_c) ),
inference(subst,[],[refute_0_25:[bind(X_33,$fot(uri_rdf_type)),bind(X_35,$fot(uri_ex_c))]]) ).
cnf(refute_0_27,plain,
( ~ iext(uri_owl_onProperty,skolemFOFtoCNF_BNODE_x,uri_rdf_type)
| icext(skolemFOFtoCNF_BNODE_x,uri_ex_c) ),
inference(resolve,[$cnf( iext(uri_rdf_type,uri_ex_c,uri_ex_c) )],[refute_0_22,refute_0_26]) ).
cnf(refute_0_28,plain,
icext(skolemFOFtoCNF_BNODE_x,uri_ex_c),
inference(resolve,[$cnf( iext(uri_owl_onProperty,skolemFOFtoCNF_BNODE_x,uri_rdf_type) )],[refute_0_7,refute_0_27]) ).
cnf(refute_0_29,plain,
iext(uri_rdf_type,uri_ex_c,uri_ex_c),
inference(resolve,[$cnf( icext(skolemFOFtoCNF_BNODE_x,uri_ex_c) )],[refute_0_28,refute_0_14]) ).
cnf(refute_0_30,plain,
icext(uri_ex_c,uri_ex_c),
inference(resolve,[$cnf( iext(uri_rdf_type,uri_ex_c,uri_ex_c) )],[refute_0_29,refute_0_6]) ).
cnf(refute_0_31,plain,
~ icext(skolemFOFtoCNF_BNODE_x,uri_ex_c),
inference(resolve,[$cnf( icext(uri_ex_c,uri_ex_c) )],[refute_0_30,refute_0_4]) ).
cnf(refute_0_32,plain,
$false,
inference(resolve,[$cnf( icext(skolemFOFtoCNF_BNODE_x,uri_ex_c) )],[refute_0_28,refute_0_31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWB030+2 : TPTP v8.1.0. Released v5.2.0.
% 0.00/0.10 % Command : metis --show proof --show saturation %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Wed Jun 1 04:41:59 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.10/0.31 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.16/0.31 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.31
% 0.16/0.31 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.16/0.32
%------------------------------------------------------------------------------