TSTP Solution File: SWB007+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWB007+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n020.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 19:15:17 EDT 2022
% Result : Theorem 164.75s 164.94s
% Output : CNFRefutation 164.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 80 ( 35 unt; 0 def)
% Number of atoms : 149 ( 55 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 131 ( 62 ~; 36 |; 22 &)
% ( 7 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 47 ( 0 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(owl_eqdis_sameas,axiom,
! [X,Y] :
( iext(uri_owl_sameAs,X,Y)
<=> X = Y ) ).
fof(testcase_conclusion_fullish_007_Equal_Classes,conjecture,
( iext(uri_rdf_type,uri_ex_w,uri_ex_c2)
& iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
& iext(uri_rdfs_range,uri_ex_p,uri_ex_c2) ) ).
fof(testcase_premise_fullish_007_Equal_Classes,axiom,
( iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2)
& iext(uri_rdf_type,uri_ex_w,uri_ex_c1)
& iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1)
& iext(uri_rdfs_range,uri_ex_p,uri_ex_c1) ) ).
fof(subgoal_0,plain,
iext(uri_rdf_type,uri_ex_w,uri_ex_c2),
inference(strip,[],[testcase_conclusion_fullish_007_Equal_Classes]) ).
fof(subgoal_1,plain,
( iext(uri_rdf_type,uri_ex_w,uri_ex_c2)
=> iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2) ),
inference(strip,[],[testcase_conclusion_fullish_007_Equal_Classes]) ).
fof(subgoal_2,plain,
( ( iext(uri_rdf_type,uri_ex_w,uri_ex_c2)
& iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2) )
=> iext(uri_rdfs_range,uri_ex_p,uri_ex_c2) ),
inference(strip,[],[testcase_conclusion_fullish_007_Equal_Classes]) ).
fof(negate_0_0,plain,
~ iext(uri_rdf_type,uri_ex_w,uri_ex_c2),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
~ iext(uri_rdf_type,uri_ex_w,uri_ex_c2),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2)
& iext(uri_rdf_type,uri_ex_w,uri_ex_c1)
& iext(uri_rdfs_range,uri_ex_p,uri_ex_c1)
& iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1) ),
inference(canonicalize,[],[testcase_premise_fullish_007_Equal_Classes]) ).
fof(normalize_0_2,plain,
iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X,Y] :
( X != Y
<=> ~ iext(uri_owl_sameAs,X,Y) ),
inference(canonicalize,[],[owl_eqdis_sameas]) ).
fof(normalize_0_4,plain,
! [X,Y] :
( X != Y
<=> ~ iext(uri_owl_sameAs,X,Y) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X,Y] :
( ( X != Y
| iext(uri_owl_sameAs,X,Y) )
& ( ~ iext(uri_owl_sameAs,X,Y)
| X = Y ) ),
inference(clausify,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X,Y] :
( ~ iext(uri_owl_sameAs,X,Y)
| X = Y ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
iext(uri_rdf_type,uri_ex_w,uri_ex_c1),
inference(conjunct,[],[normalize_0_1]) ).
cnf(refute_0_0,plain,
~ iext(uri_rdf_type,uri_ex_w,uri_ex_c2),
inference(canonicalize,[],[normalize_0_0]) ).
cnf(refute_0_1,plain,
iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_2,plain,
( ~ iext(uri_owl_sameAs,X,Y)
| X = Y ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_3,plain,
( ~ iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2)
| uri_ex_c1 = uri_ex_c2 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(uri_ex_c1)),bind(Y,$fot(uri_ex_c2))]]) ).
cnf(refute_0_4,plain,
uri_ex_c1 = uri_ex_c2,
inference(resolve,[$cnf( iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2) )],[refute_0_1,refute_0_3]) ).
cnf(refute_0_5,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_6,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_7,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
( uri_ex_c1 != uri_ex_c2
| uri_ex_c2 = uri_ex_c1 ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(uri_ex_c1)),bind(Y0,$fot(uri_ex_c2))]]) ).
cnf(refute_0_9,plain,
uri_ex_c2 = uri_ex_c1,
inference(resolve,[$cnf( $equal(uri_ex_c1,uri_ex_c2) )],[refute_0_4,refute_0_8]) ).
cnf(refute_0_10,plain,
( uri_ex_c2 != uri_ex_c1
| ~ iext(uri_rdf_type,uri_ex_w,uri_ex_c1)
| iext(uri_rdf_type,uri_ex_w,uri_ex_c2) ),
introduced(tautology,[equality,[$cnf( ~ iext(uri_rdf_type,uri_ex_w,uri_ex_c2) ),[2],$fot(uri_ex_c1)]]) ).
cnf(refute_0_11,plain,
( ~ iext(uri_rdf_type,uri_ex_w,uri_ex_c1)
| iext(uri_rdf_type,uri_ex_w,uri_ex_c2) ),
inference(resolve,[$cnf( $equal(uri_ex_c2,uri_ex_c1) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
~ iext(uri_rdf_type,uri_ex_w,uri_ex_c1),
inference(resolve,[$cnf( iext(uri_rdf_type,uri_ex_w,uri_ex_c2) )],[refute_0_11,refute_0_0]) ).
cnf(refute_0_13,plain,
iext(uri_rdf_type,uri_ex_w,uri_ex_c1),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_14,plain,
$false,
inference(resolve,[$cnf( iext(uri_rdf_type,uri_ex_w,uri_ex_c1) )],[refute_0_13,refute_0_12]) ).
fof(negate_1_0,plain,
~ ( iext(uri_rdf_type,uri_ex_w,uri_ex_c2)
=> iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2) ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
( ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
& iext(uri_rdf_type,uri_ex_w,uri_ex_c2) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_1,plain,
~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
( iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2)
& iext(uri_rdf_type,uri_ex_w,uri_ex_c1)
& iext(uri_rdfs_range,uri_ex_p,uri_ex_c1)
& iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1) ),
inference(canonicalize,[],[testcase_premise_fullish_007_Equal_Classes]) ).
fof(normalize_1_3,plain,
iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2),
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_4,plain,
! [X,Y] :
( X != Y
<=> ~ iext(uri_owl_sameAs,X,Y) ),
inference(canonicalize,[],[owl_eqdis_sameas]) ).
fof(normalize_1_5,plain,
! [X,Y] :
( X != Y
<=> ~ iext(uri_owl_sameAs,X,Y) ),
inference(specialize,[],[normalize_1_4]) ).
fof(normalize_1_6,plain,
! [X,Y] :
( ( X != Y
| iext(uri_owl_sameAs,X,Y) )
& ( ~ iext(uri_owl_sameAs,X,Y)
| X = Y ) ),
inference(clausify,[],[normalize_1_5]) ).
fof(normalize_1_7,plain,
! [X,Y] :
( ~ iext(uri_owl_sameAs,X,Y)
| X = Y ),
inference(conjunct,[],[normalize_1_6]) ).
fof(normalize_1_8,plain,
iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1),
inference(conjunct,[],[normalize_1_2]) ).
cnf(refute_1_0,plain,
~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2),
inference(canonicalize,[],[normalize_1_1]) ).
cnf(refute_1_1,plain,
iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2),
inference(canonicalize,[],[normalize_1_3]) ).
cnf(refute_1_2,plain,
( ~ iext(uri_owl_sameAs,X,Y)
| X = Y ),
inference(canonicalize,[],[normalize_1_7]) ).
cnf(refute_1_3,plain,
( ~ iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2)
| uri_ex_c1 = uri_ex_c2 ),
inference(subst,[],[refute_1_2:[bind(X,$fot(uri_ex_c1)),bind(Y,$fot(uri_ex_c2))]]) ).
cnf(refute_1_4,plain,
uri_ex_c1 = uri_ex_c2,
inference(resolve,[$cnf( iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2) )],[refute_1_1,refute_1_3]) ).
cnf(refute_1_5,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_1_6,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_1_7,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_1_5,refute_1_6]) ).
cnf(refute_1_8,plain,
( uri_ex_c1 != uri_ex_c2
| uri_ex_c2 = uri_ex_c1 ),
inference(subst,[],[refute_1_7:[bind(X0,$fot(uri_ex_c1)),bind(Y0,$fot(uri_ex_c2))]]) ).
cnf(refute_1_9,plain,
uri_ex_c2 = uri_ex_c1,
inference(resolve,[$cnf( $equal(uri_ex_c1,uri_ex_c2) )],[refute_1_4,refute_1_8]) ).
cnf(refute_1_10,plain,
( uri_ex_c2 != uri_ex_c1
| ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1)
| iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2) ),
introduced(tautology,[equality,[$cnf( ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2) ),[2],$fot(uri_ex_c1)]]) ).
cnf(refute_1_11,plain,
( ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1)
| iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2) ),
inference(resolve,[$cnf( $equal(uri_ex_c2,uri_ex_c1) )],[refute_1_9,refute_1_10]) ).
cnf(refute_1_12,plain,
~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1),
inference(resolve,[$cnf( iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2) )],[refute_1_11,refute_1_0]) ).
cnf(refute_1_13,plain,
iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1),
inference(canonicalize,[],[normalize_1_8]) ).
cnf(refute_1_14,plain,
$false,
inference(resolve,[$cnf( iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1) )],[refute_1_13,refute_1_12]) ).
fof(negate_2_0,plain,
~ ( ( iext(uri_rdf_type,uri_ex_w,uri_ex_c2)
& iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2) )
=> iext(uri_rdfs_range,uri_ex_p,uri_ex_c2) ),
inference(negate,[],[subgoal_2]) ).
fof(normalize_2_0,plain,
( ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c2)
& iext(uri_rdf_type,uri_ex_w,uri_ex_c2)
& iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2) ),
inference(canonicalize,[],[negate_2_0]) ).
fof(normalize_2_1,plain,
~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c2),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_2,plain,
( iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2)
& iext(uri_rdf_type,uri_ex_w,uri_ex_c1)
& iext(uri_rdfs_range,uri_ex_p,uri_ex_c1)
& iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1) ),
inference(canonicalize,[],[testcase_premise_fullish_007_Equal_Classes]) ).
fof(normalize_2_3,plain,
iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2),
inference(conjunct,[],[normalize_2_2]) ).
fof(normalize_2_4,plain,
! [X,Y] :
( X != Y
<=> ~ iext(uri_owl_sameAs,X,Y) ),
inference(canonicalize,[],[owl_eqdis_sameas]) ).
fof(normalize_2_5,plain,
! [X,Y] :
( X != Y
<=> ~ iext(uri_owl_sameAs,X,Y) ),
inference(specialize,[],[normalize_2_4]) ).
fof(normalize_2_6,plain,
! [X,Y] :
( ( X != Y
| iext(uri_owl_sameAs,X,Y) )
& ( ~ iext(uri_owl_sameAs,X,Y)
| X = Y ) ),
inference(clausify,[],[normalize_2_5]) ).
fof(normalize_2_7,plain,
! [X,Y] :
( ~ iext(uri_owl_sameAs,X,Y)
| X = Y ),
inference(conjunct,[],[normalize_2_6]) ).
fof(normalize_2_8,plain,
iext(uri_rdfs_range,uri_ex_p,uri_ex_c1),
inference(conjunct,[],[normalize_2_2]) ).
cnf(refute_2_0,plain,
~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c2),
inference(canonicalize,[],[normalize_2_1]) ).
cnf(refute_2_1,plain,
iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2),
inference(canonicalize,[],[normalize_2_3]) ).
cnf(refute_2_2,plain,
( ~ iext(uri_owl_sameAs,X,Y)
| X = Y ),
inference(canonicalize,[],[normalize_2_7]) ).
cnf(refute_2_3,plain,
( ~ iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2)
| uri_ex_c1 = uri_ex_c2 ),
inference(subst,[],[refute_2_2:[bind(X,$fot(uri_ex_c1)),bind(Y,$fot(uri_ex_c2))]]) ).
cnf(refute_2_4,plain,
uri_ex_c1 = uri_ex_c2,
inference(resolve,[$cnf( iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2) )],[refute_2_1,refute_2_3]) ).
cnf(refute_2_5,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_2_6,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_2_7,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_2_5,refute_2_6]) ).
cnf(refute_2_8,plain,
( uri_ex_c1 != uri_ex_c2
| uri_ex_c2 = uri_ex_c1 ),
inference(subst,[],[refute_2_7:[bind(X0,$fot(uri_ex_c1)),bind(Y0,$fot(uri_ex_c2))]]) ).
cnf(refute_2_9,plain,
uri_ex_c2 = uri_ex_c1,
inference(resolve,[$cnf( $equal(uri_ex_c1,uri_ex_c2) )],[refute_2_4,refute_2_8]) ).
cnf(refute_2_10,plain,
( uri_ex_c2 != uri_ex_c1
| ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c1)
| iext(uri_rdfs_range,uri_ex_p,uri_ex_c2) ),
introduced(tautology,[equality,[$cnf( ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c2) ),[2],$fot(uri_ex_c1)]]) ).
cnf(refute_2_11,plain,
( ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c1)
| iext(uri_rdfs_range,uri_ex_p,uri_ex_c2) ),
inference(resolve,[$cnf( $equal(uri_ex_c2,uri_ex_c1) )],[refute_2_9,refute_2_10]) ).
cnf(refute_2_12,plain,
~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c1),
inference(resolve,[$cnf( iext(uri_rdfs_range,uri_ex_p,uri_ex_c2) )],[refute_2_11,refute_2_0]) ).
cnf(refute_2_13,plain,
iext(uri_rdfs_range,uri_ex_p,uri_ex_c1),
inference(canonicalize,[],[normalize_2_8]) ).
cnf(refute_2_14,plain,
$false,
inference(resolve,[$cnf( iext(uri_rdfs_range,uri_ex_p,uri_ex_c1) )],[refute_2_13,refute_2_12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWB007+1 : TPTP v8.1.0. Released v5.2.0.
% 0.12/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 1 14:08:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 164.75/164.94 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 164.75/164.94
% 164.75/164.94 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 164.75/164.94
%------------------------------------------------------------------------------