TSTP Solution File: SWB006+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWB006+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n029.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 58.35s 58.49s
% Output : CNFRefutation 58.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 49 ( 23 unt; 0 def)
% Number of atoms : 84 ( 37 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 68 ( 33 ~; 25 |; 7 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 26 ( 0 sgn 12 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(owl_eqdis_sameas,axiom,
! [X,Y] :
( iext(uri_owl_sameAs,X,Y)
<=> X = Y ) ).
fof(testcase_conclusion_fullish_006_Literal_Values_represented_by_URIs_and_Blank_Nodes,conjecture,
iext(uri_owl_sameAs,uri_ex_u,uri_ex_w) ).
fof(testcase_premise_fullish_006_Literal_Values_represented_by_URIs_and_Blank_Nodes,axiom,
? [BNODE_x] :
( iext(uri_owl_sameAs,uri_ex_u,literal_plain(dat_str_abc))
& iext(uri_owl_sameAs,BNODE_x,literal_plain(dat_str_abc))
& iext(uri_owl_sameAs,BNODE_x,uri_ex_w) ) ).
fof(subgoal_0,plain,
iext(uri_owl_sameAs,uri_ex_u,uri_ex_w),
inference(strip,[],[testcase_conclusion_fullish_006_Literal_Values_represented_by_URIs_and_Blank_Nodes]) ).
fof(negate_0_0,plain,
~ iext(uri_owl_sameAs,uri_ex_u,uri_ex_w),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
~ iext(uri_owl_sameAs,uri_ex_u,uri_ex_w),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
? [BNODE_x] :
( iext(uri_owl_sameAs,BNODE_x,literal_plain(dat_str_abc))
& iext(uri_owl_sameAs,BNODE_x,uri_ex_w)
& iext(uri_owl_sameAs,uri_ex_u,literal_plain(dat_str_abc)) ),
inference(canonicalize,[],[testcase_premise_fullish_006_Literal_Values_represented_by_URIs_and_Blank_Nodes]) ).
fof(normalize_0_2,plain,
( iext(uri_owl_sameAs,skolemFOFtoCNF_BNODE_x,literal_plain(dat_str_abc))
& iext(uri_owl_sameAs,skolemFOFtoCNF_BNODE_x,uri_ex_w)
& iext(uri_owl_sameAs,uri_ex_u,literal_plain(dat_str_abc)) ),
inference(skolemize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
iext(uri_owl_sameAs,uri_ex_u,literal_plain(dat_str_abc)),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X,Y] :
( X != Y
<=> ~ iext(uri_owl_sameAs,X,Y) ),
inference(canonicalize,[],[owl_eqdis_sameas]) ).
fof(normalize_0_5,plain,
! [X,Y] :
( X != Y
<=> ~ iext(uri_owl_sameAs,X,Y) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X,Y] :
( ( X != Y
| iext(uri_owl_sameAs,X,Y) )
& ( ~ iext(uri_owl_sameAs,X,Y)
| X = Y ) ),
inference(clausify,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [X,Y] :
( ~ iext(uri_owl_sameAs,X,Y)
| X = Y ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
iext(uri_owl_sameAs,skolemFOFtoCNF_BNODE_x,literal_plain(dat_str_abc)),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_9,plain,
iext(uri_owl_sameAs,skolemFOFtoCNF_BNODE_x,uri_ex_w),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_10,plain,
! [X,Y] :
( X != Y
| iext(uri_owl_sameAs,X,Y) ),
inference(conjunct,[],[normalize_0_6]) ).
cnf(refute_0_0,plain,
~ iext(uri_owl_sameAs,uri_ex_u,uri_ex_w),
inference(canonicalize,[],[normalize_0_0]) ).
cnf(refute_0_1,plain,
iext(uri_owl_sameAs,uri_ex_u,literal_plain(dat_str_abc)),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
( ~ iext(uri_owl_sameAs,X,Y)
| X = Y ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_3,plain,
( ~ iext(uri_owl_sameAs,uri_ex_u,literal_plain(dat_str_abc))
| uri_ex_u = literal_plain(dat_str_abc) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(uri_ex_u)),bind(Y,$fot(literal_plain(dat_str_abc)))]]) ).
cnf(refute_0_4,plain,
uri_ex_u = literal_plain(dat_str_abc),
inference(resolve,[$cnf( iext(uri_owl_sameAs,uri_ex_u,literal_plain(dat_str_abc)) )],[refute_0_1,refute_0_3]) ).
cnf(refute_0_5,plain,
iext(uri_owl_sameAs,skolemFOFtoCNF_BNODE_x,literal_plain(dat_str_abc)),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_6,plain,
( ~ iext(uri_owl_sameAs,skolemFOFtoCNF_BNODE_x,literal_plain(dat_str_abc))
| skolemFOFtoCNF_BNODE_x = literal_plain(dat_str_abc) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(skolemFOFtoCNF_BNODE_x)),bind(Y,$fot(literal_plain(dat_str_abc)))]]) ).
cnf(refute_0_7,plain,
skolemFOFtoCNF_BNODE_x = literal_plain(dat_str_abc),
inference(resolve,[$cnf( iext(uri_owl_sameAs,skolemFOFtoCNF_BNODE_x,literal_plain(dat_str_abc)) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_9,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_10,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
( skolemFOFtoCNF_BNODE_x != literal_plain(dat_str_abc)
| literal_plain(dat_str_abc) = skolemFOFtoCNF_BNODE_x ),
inference(subst,[],[refute_0_10:[bind(X0,$fot(skolemFOFtoCNF_BNODE_x)),bind(Y0,$fot(literal_plain(dat_str_abc)))]]) ).
cnf(refute_0_12,plain,
literal_plain(dat_str_abc) = skolemFOFtoCNF_BNODE_x,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_BNODE_x,literal_plain(dat_str_abc)) )],[refute_0_7,refute_0_11]) ).
cnf(refute_0_13,plain,
( literal_plain(dat_str_abc) != skolemFOFtoCNF_BNODE_x
| uri_ex_u != literal_plain(dat_str_abc)
| uri_ex_u = skolemFOFtoCNF_BNODE_x ),
introduced(tautology,[equality,[$cnf( $equal(uri_ex_u,literal_plain(dat_str_abc)) ),[1],$fot(skolemFOFtoCNF_BNODE_x)]]) ).
cnf(refute_0_14,plain,
( uri_ex_u != literal_plain(dat_str_abc)
| uri_ex_u = skolemFOFtoCNF_BNODE_x ),
inference(resolve,[$cnf( $equal(literal_plain(dat_str_abc),skolemFOFtoCNF_BNODE_x) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
uri_ex_u = skolemFOFtoCNF_BNODE_x,
inference(resolve,[$cnf( $equal(uri_ex_u,literal_plain(dat_str_abc)) )],[refute_0_4,refute_0_14]) ).
cnf(refute_0_16,plain,
( uri_ex_u != skolemFOFtoCNF_BNODE_x
| ~ iext(uri_owl_sameAs,skolemFOFtoCNF_BNODE_x,uri_ex_w)
| iext(uri_owl_sameAs,uri_ex_u,uri_ex_w) ),
introduced(tautology,[equality,[$cnf( ~ iext(uri_owl_sameAs,uri_ex_u,uri_ex_w) ),[1],$fot(skolemFOFtoCNF_BNODE_x)]]) ).
cnf(refute_0_17,plain,
( ~ iext(uri_owl_sameAs,skolemFOFtoCNF_BNODE_x,uri_ex_w)
| iext(uri_owl_sameAs,uri_ex_u,uri_ex_w) ),
inference(resolve,[$cnf( $equal(uri_ex_u,skolemFOFtoCNF_BNODE_x) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
iext(uri_owl_sameAs,skolemFOFtoCNF_BNODE_x,uri_ex_w),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_19,plain,
( ~ iext(uri_owl_sameAs,skolemFOFtoCNF_BNODE_x,uri_ex_w)
| skolemFOFtoCNF_BNODE_x = uri_ex_w ),
inference(subst,[],[refute_0_2:[bind(X,$fot(skolemFOFtoCNF_BNODE_x)),bind(Y,$fot(uri_ex_w))]]) ).
cnf(refute_0_20,plain,
skolemFOFtoCNF_BNODE_x = uri_ex_w,
inference(resolve,[$cnf( iext(uri_owl_sameAs,skolemFOFtoCNF_BNODE_x,uri_ex_w) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
( skolemFOFtoCNF_BNODE_x != uri_ex_w
| uri_ex_w = skolemFOFtoCNF_BNODE_x ),
inference(subst,[],[refute_0_10:[bind(X0,$fot(skolemFOFtoCNF_BNODE_x)),bind(Y0,$fot(uri_ex_w))]]) ).
cnf(refute_0_22,plain,
uri_ex_w = skolemFOFtoCNF_BNODE_x,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_BNODE_x,uri_ex_w) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
( uri_ex_w != skolemFOFtoCNF_BNODE_x
| ~ iext(uri_owl_sameAs,skolemFOFtoCNF_BNODE_x,skolemFOFtoCNF_BNODE_x)
| iext(uri_owl_sameAs,skolemFOFtoCNF_BNODE_x,uri_ex_w) ),
introduced(tautology,[equality,[$cnf( ~ iext(uri_owl_sameAs,skolemFOFtoCNF_BNODE_x,uri_ex_w) ),[2],$fot(skolemFOFtoCNF_BNODE_x)]]) ).
cnf(refute_0_24,plain,
( ~ iext(uri_owl_sameAs,skolemFOFtoCNF_BNODE_x,skolemFOFtoCNF_BNODE_x)
| iext(uri_owl_sameAs,skolemFOFtoCNF_BNODE_x,uri_ex_w) ),
inference(resolve,[$cnf( $equal(uri_ex_w,skolemFOFtoCNF_BNODE_x) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
( ~ iext(uri_owl_sameAs,skolemFOFtoCNF_BNODE_x,skolemFOFtoCNF_BNODE_x)
| iext(uri_owl_sameAs,uri_ex_u,uri_ex_w) ),
inference(resolve,[$cnf( iext(uri_owl_sameAs,skolemFOFtoCNF_BNODE_x,uri_ex_w) )],[refute_0_24,refute_0_17]) ).
cnf(refute_0_26,plain,
~ iext(uri_owl_sameAs,skolemFOFtoCNF_BNODE_x,skolemFOFtoCNF_BNODE_x),
inference(resolve,[$cnf( iext(uri_owl_sameAs,uri_ex_u,uri_ex_w) )],[refute_0_25,refute_0_0]) ).
cnf(refute_0_27,plain,
( X != Y
| iext(uri_owl_sameAs,X,Y) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_28,plain,
( Y != Y
| iext(uri_owl_sameAs,Y,Y) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(Y))]]) ).
cnf(refute_0_29,plain,
Y = Y,
introduced(tautology,[refl,[$fot(Y)]]) ).
cnf(refute_0_30,plain,
iext(uri_owl_sameAs,Y,Y),
inference(resolve,[$cnf( $equal(Y,Y) )],[refute_0_29,refute_0_28]) ).
cnf(refute_0_31,plain,
iext(uri_owl_sameAs,skolemFOFtoCNF_BNODE_x,skolemFOFtoCNF_BNODE_x),
inference(subst,[],[refute_0_30:[bind(Y,$fot(skolemFOFtoCNF_BNODE_x))]]) ).
cnf(refute_0_32,plain,
$false,
inference(resolve,[$cnf( iext(uri_owl_sameAs,skolemFOFtoCNF_BNODE_x,skolemFOFtoCNF_BNODE_x) )],[refute_0_31,refute_0_26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWB006+1 : TPTP v8.1.0. Released v5.2.0.
% 0.13/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Wed Jun 1 00:06:30 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 58.35/58.49 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 58.35/58.49
% 58.35/58.49 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 58.35/58.49
%------------------------------------------------------------------------------