TSTP Solution File: SWB009+2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWB009+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n025.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 : 300s
% DateTime : Wed Aug 31 18:37:08 EDT 2022
% Result : Theorem 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 37 ( 6 unt; 0 def)
% Number of atoms : 132 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 147 ( 52 ~; 42 |; 43 &)
% ( 6 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-3 aty)
% Number of variables : 74 ( 61 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f45,plain,
$false,
inference(subsumption_resolution,[],[f44,f30]) ).
fof(f30,plain,
iext(uri_owl_someValuesFrom,sK1,uri_ex_c),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
( iext(uri_owl_onProperty,sK1,uri_ex_p)
& iext(uri_owl_someValuesFrom,sK1,uri_ex_c)
& iext(uri_rdf_type,uri_ex_s,sK1)
& iext(uri_rdf_type,sK1,uri_owl_Restriction)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f7,f18]) ).
fof(f18,plain,
( ? [X0] :
( iext(uri_owl_onProperty,X0,uri_ex_p)
& iext(uri_owl_someValuesFrom,X0,uri_ex_c)
& iext(uri_rdf_type,uri_ex_s,X0)
& iext(uri_rdf_type,X0,uri_owl_Restriction)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) )
=> ( iext(uri_owl_onProperty,sK1,uri_ex_p)
& iext(uri_owl_someValuesFrom,sK1,uri_ex_c)
& iext(uri_rdf_type,uri_ex_s,sK1)
& iext(uri_rdf_type,sK1,uri_owl_Restriction)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ) ),
introduced(choice_axiom,[]) ).
fof(f7,plain,
? [X0] :
( iext(uri_owl_onProperty,X0,uri_ex_p)
& iext(uri_owl_someValuesFrom,X0,uri_ex_c)
& iext(uri_rdf_type,uri_ex_s,X0)
& iext(uri_rdf_type,X0,uri_owl_Restriction)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
? [X6] :
( iext(uri_owl_someValuesFrom,X6,uri_ex_c)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
& iext(uri_owl_onProperty,X6,uri_ex_p)
& iext(uri_rdf_type,X6,uri_owl_Restriction)
& iext(uri_rdf_type,uri_ex_s,X6)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_009_Existential_Restriction_Entailments) ).
fof(f44,plain,
~ iext(uri_owl_someValuesFrom,sK1,uri_ex_c),
inference(subsumption_resolution,[],[f43,f34]) ).
fof(f34,plain,
icext(sK1,uri_ex_s),
inference(resolution,[],[f25,f29]) ).
fof(f29,plain,
iext(uri_rdf_type,uri_ex_s,sK1),
inference(cnf_transformation,[],[f19]) ).
fof(f25,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X1,X0)
| icext(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( ( icext(X0,X1)
| ~ iext(uri_rdf_type,X1,X0) )
& ( iext(uri_rdf_type,X1,X0)
| ~ icext(X0,X1) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0,X1] :
( icext(X0,X1)
<=> iext(uri_rdf_type,X1,X0) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( icext(X1,X0)
<=> iext(uri_rdf_type,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f43,plain,
( ~ icext(sK1,uri_ex_s)
| ~ iext(uri_owl_someValuesFrom,sK1,uri_ex_c) ),
inference(duplicate_literal_removal,[],[f42]) ).
fof(f42,plain,
( ~ iext(uri_owl_someValuesFrom,sK1,uri_ex_c)
| ~ iext(uri_owl_someValuesFrom,sK1,uri_ex_c)
| ~ icext(sK1,uri_ex_s) ),
inference(resolution,[],[f41,f37]) ).
fof(f37,plain,
! [X0,X1] :
( icext(X1,sK0(X1,uri_ex_p,X0))
| ~ icext(sK1,X0)
| ~ iext(uri_owl_someValuesFrom,sK1,X1) ),
inference(resolution,[],[f22,f31]) ).
fof(f31,plain,
iext(uri_owl_onProperty,sK1,uri_ex_p),
inference(cnf_transformation,[],[f19]) ).
fof(f22,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_onProperty,X2,X1)
| ~ icext(X2,X3)
| icext(X0,sK0(X0,X1,X3))
| ~ iext(uri_owl_someValuesFrom,X2,X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X2,X3)
| ! [X4] :
( ~ icext(X0,X4)
| ~ iext(X1,X3,X4) ) )
& ( ( icext(X0,sK0(X0,X1,X3))
& iext(X1,X3,sK0(X0,X1,X3)) )
| ~ icext(X2,X3) ) )
| ~ iext(uri_owl_someValuesFrom,X2,X0)
| ~ iext(uri_owl_onProperty,X2,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f14,f15]) ).
fof(f15,plain,
! [X0,X1,X3] :
( ? [X5] :
( icext(X0,X5)
& iext(X1,X3,X5) )
=> ( icext(X0,sK0(X0,X1,X3))
& iext(X1,X3,sK0(X0,X1,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X2,X3)
| ! [X4] :
( ~ icext(X0,X4)
| ~ iext(X1,X3,X4) ) )
& ( ? [X5] :
( icext(X0,X5)
& iext(X1,X3,X5) )
| ~ icext(X2,X3) ) )
| ~ iext(uri_owl_someValuesFrom,X2,X0)
| ~ iext(uri_owl_onProperty,X2,X1) ),
inference(rectify,[],[f13]) ).
fof(f13,plain,
! [X2,X0,X1] :
( ! [X3] :
( ( icext(X1,X3)
| ! [X4] :
( ~ icext(X2,X4)
| ~ iext(X0,X3,X4) ) )
& ( ? [X4] :
( icext(X2,X4)
& iext(X0,X3,X4) )
| ~ icext(X1,X3) ) )
| ~ iext(uri_owl_someValuesFrom,X1,X2)
| ~ iext(uri_owl_onProperty,X1,X0) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X2,X0,X1] :
( ! [X3] :
( icext(X1,X3)
<=> ? [X4] :
( icext(X2,X4)
& iext(X0,X3,X4) ) )
| ~ iext(uri_owl_someValuesFrom,X1,X2)
| ~ iext(uri_owl_onProperty,X1,X0) ),
inference(flattening,[],[f11]) ).
fof(f11,plain,
! [X0,X2,X1] :
( ! [X3] :
( icext(X1,X3)
<=> ? [X4] :
( icext(X2,X4)
& iext(X0,X3,X4) ) )
| ~ iext(uri_owl_someValuesFrom,X1,X2)
| ~ iext(uri_owl_onProperty,X1,X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
! [X0,X2,X1] :
( ( iext(uri_owl_someValuesFrom,X1,X2)
& iext(uri_owl_onProperty,X1,X0) )
=> ! [X3] :
( icext(X1,X3)
<=> ? [X4] :
( icext(X2,X4)
& iext(X0,X3,X4) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X3,X2,X1] :
( ( iext(uri_owl_onProperty,X2,X3)
& iext(uri_owl_someValuesFrom,X2,X1) )
=> ! [X0] :
( icext(X2,X0)
<=> ? [X4] :
( iext(X3,X0,X4)
& icext(X1,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_restrict_somevaluesfrom) ).
fof(f41,plain,
! [X0] :
( ~ icext(uri_ex_c,sK0(X0,uri_ex_p,uri_ex_s))
| ~ iext(uri_owl_someValuesFrom,sK1,X0) ),
inference(resolution,[],[f40,f24]) ).
fof(f24,plain,
! [X0,X1] :
( iext(uri_rdf_type,X1,X0)
| ~ icext(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f40,plain,
! [X0] :
( ~ iext(uri_rdf_type,sK0(X0,uri_ex_p,uri_ex_s),uri_ex_c)
| ~ iext(uri_owl_someValuesFrom,sK1,X0) ),
inference(subsumption_resolution,[],[f39,f34]) ).
fof(f39,plain,
! [X0] :
( ~ icext(sK1,uri_ex_s)
| ~ iext(uri_owl_someValuesFrom,sK1,X0)
| ~ iext(uri_rdf_type,sK0(X0,uri_ex_p,uri_ex_s),uri_ex_c) ),
inference(resolution,[],[f38,f20]) ).
fof(f20,plain,
! [X0] :
( ~ iext(uri_ex_p,uri_ex_s,X0)
| ~ iext(uri_rdf_type,X0,uri_ex_c) ),
inference(cnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0] :
( ~ iext(uri_rdf_type,X0,uri_ex_c)
| ~ iext(uri_ex_p,uri_ex_s,X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,plain,
~ ? [X0] :
( iext(uri_rdf_type,X0,uri_ex_c)
& iext(uri_ex_p,uri_ex_s,X0) ),
inference(rectify,[],[f4]) ).
fof(f4,negated_conjecture,
~ ? [X5] :
( iext(uri_rdf_type,X5,uri_ex_c)
& iext(uri_ex_p,uri_ex_s,X5) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
? [X5] :
( iext(uri_rdf_type,X5,uri_ex_c)
& iext(uri_ex_p,uri_ex_s,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_009_Existential_Restriction_Entailments) ).
fof(f38,plain,
! [X0,X1] :
( iext(uri_ex_p,X0,sK0(X1,uri_ex_p,X0))
| ~ icext(sK1,X0)
| ~ iext(uri_owl_someValuesFrom,sK1,X1) ),
inference(resolution,[],[f21,f31]) ).
fof(f21,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_onProperty,X2,X1)
| iext(X1,X3,sK0(X0,X1,X3))
| ~ icext(X2,X3)
| ~ iext(uri_owl_someValuesFrom,X2,X0) ),
inference(cnf_transformation,[],[f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWB009+2 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n025.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 : 300
% 0.14/0.35 % DateTime : Tue Aug 30 17:36:30 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.48 % (31198)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.20/0.49 % (31198)First to succeed.
% 0.20/0.49 % (31198)Refutation found. Thanks to Tanya!
% 0.20/0.49 % SZS status Theorem for theBenchmark
% 0.20/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49 % (31198)------------------------------
% 0.20/0.49 % (31198)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (31198)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (31198)Termination reason: Refutation
% 0.20/0.49
% 0.20/0.49 % (31198)Memory used [KB]: 5373
% 0.20/0.49 % (31198)Time elapsed: 0.082 s
% 0.20/0.49 % (31198)Instructions burned: 2 (million)
% 0.20/0.49 % (31198)------------------------------
% 0.20/0.49 % (31198)------------------------------
% 0.20/0.49 % (31185)Success in time 0.135 s
%------------------------------------------------------------------------------