TSTP Solution File: SWB009+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWB009+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %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 : 300s
% DateTime : Tue Apr 30 15:41:42 EDT 2024
% Result : Theorem 0.13s 0.30s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 43 ( 11 unt; 0 def)
% Number of atoms : 136 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 134 ( 41 ~; 36 |; 46 &)
% ( 7 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-3 aty)
% Number of variables : 88 ( 74 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f91,plain,
$false,
inference(subsumption_resolution,[],[f88,f89]) ).
fof(f89,plain,
~ iext(uri_rdf_type,sK2(uri_ex_c,uri_ex_s,uri_ex_p),uri_ex_c),
inference(resolution,[],[f84,f24]) ).
fof(f24,plain,
! [X0] :
( ~ iext(uri_ex_p,uri_ex_s,X0)
| ~ iext(uri_rdf_type,X0,uri_ex_c) ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0] :
( ~ iext(uri_rdf_type,X0,uri_ex_c)
| ~ iext(uri_ex_p,uri_ex_s,X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,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(f84,plain,
iext(uri_ex_p,uri_ex_s,sK2(uri_ex_c,uri_ex_s,uri_ex_p)),
inference(resolution,[],[f82,f29]) ).
fof(f29,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| iext(X2,X1,sK2(X0,X1,X2)) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ! [X3] :
( ~ icext(X0,X3)
| ~ iext(X2,X1,X3) ) )
& ( ( icext(X0,sK2(X0,X1,X2))
& iext(X2,X1,sK2(X0,X1,X2)) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f19,f20]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ? [X4] :
( icext(X0,X4)
& iext(X2,X1,X4) )
=> ( icext(X0,sK2(X0,X1,X2))
& iext(X2,X1,sK2(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ! [X3] :
( ~ icext(X0,X3)
| ~ iext(X2,X1,X3) ) )
& ( ? [X4] :
( icext(X0,X4)
& iext(X2,X1,X4) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f18]) ).
fof(f18,plain,
! [X2,X3,X1] :
( ( sP0(X2,X3,X1)
| ! [X4] :
( ~ icext(X2,X4)
| ~ iext(X1,X3,X4) ) )
& ( ? [X4] :
( icext(X2,X4)
& iext(X1,X3,X4) )
| ~ sP0(X2,X3,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X2,X3,X1] :
( sP0(X2,X3,X1)
<=> ? [X4] :
( icext(X2,X4)
& iext(X1,X3,X4) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f82,plain,
sP0(uri_ex_c,uri_ex_s,uri_ex_p),
inference(resolution,[],[f81,f40]) ).
fof(f40,plain,
icext(sK3,uri_ex_s),
inference(resolution,[],[f25,f35]) ).
fof(f35,plain,
iext(uri_rdf_type,uri_ex_s,sK3),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
( iext(uri_owl_someValuesFrom,sK3,uri_ex_c)
& iext(uri_owl_onProperty,sK3,uri_ex_p)
& iext(uri_rdf_type,sK3,uri_owl_Restriction)
& iext(uri_rdf_type,uri_ex_s,sK3)
& 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,[sK3])],[f8,f22]) ).
fof(f22,plain,
( ? [X0] :
( iext(uri_owl_someValuesFrom,X0,uri_ex_c)
& iext(uri_owl_onProperty,X0,uri_ex_p)
& iext(uri_rdf_type,X0,uri_owl_Restriction)
& iext(uri_rdf_type,uri_ex_s,X0)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) )
=> ( iext(uri_owl_someValuesFrom,sK3,uri_ex_c)
& iext(uri_owl_onProperty,sK3,uri_ex_p)
& iext(uri_rdf_type,sK3,uri_owl_Restriction)
& iext(uri_rdf_type,uri_ex_s,sK3)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
? [X0] :
( iext(uri_owl_someValuesFrom,X0,uri_ex_c)
& iext(uri_owl_onProperty,X0,uri_ex_p)
& iext(uri_rdf_type,X0,uri_owl_Restriction)
& iext(uri_rdf_type,uri_ex_s,X0)
& 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_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_c,uri_owl_Class)
& 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(f25,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( ( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) )
& ( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
<=> icext(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f81,plain,
! [X0] :
( ~ icext(sK3,X0)
| sP0(uri_ex_c,X0,uri_ex_p) ),
inference(resolution,[],[f78,f27]) ).
fof(f27,plain,
! [X2,X3,X0,X1] :
( ~ sP1(X0,X1,X2)
| ~ icext(X2,X3)
| sP0(X1,X3,X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X2,X3)
| ~ sP0(X1,X3,X0) )
& ( sP0(X1,X3,X0)
| ~ icext(X2,X3) ) )
| ~ sP1(X0,X1,X2) ),
inference(rectify,[],[f16]) ).
fof(f16,plain,
! [X1,X2,X0] :
( ! [X3] :
( ( icext(X0,X3)
| ~ sP0(X2,X3,X1) )
& ( sP0(X2,X3,X1)
| ~ icext(X0,X3) ) )
| ~ sP1(X1,X2,X0) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X1,X2,X0] :
( ! [X3] :
( icext(X0,X3)
<=> sP0(X2,X3,X1) )
| ~ sP1(X1,X2,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f78,plain,
sP1(uri_ex_p,uri_ex_c,sK3),
inference(resolution,[],[f57,f38]) ).
fof(f38,plain,
iext(uri_owl_someValuesFrom,sK3,uri_ex_c),
inference(cnf_transformation,[],[f23]) ).
fof(f57,plain,
! [X0] :
( ~ iext(uri_owl_someValuesFrom,sK3,X0)
| sP1(uri_ex_p,X0,sK3) ),
inference(resolution,[],[f32,f37]) ).
fof(f37,plain,
iext(uri_owl_onProperty,sK3,uri_ex_p),
inference(cnf_transformation,[],[f23]) ).
fof(f32,plain,
! [X2,X0,X1] :
( ~ iext(uri_owl_onProperty,X0,X1)
| sP1(X1,X2,X0)
| ~ iext(uri_owl_someValuesFrom,X0,X2) ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1,X2] :
( sP1(X1,X2,X0)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_someValuesFrom,X0,X2) ),
inference(definition_folding,[],[f11,f13,f12]) ).
fof(f11,plain,
! [X0,X1,X2] :
( ! [X3] :
( icext(X0,X3)
<=> ? [X4] :
( icext(X2,X4)
& iext(X1,X3,X4) ) )
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_someValuesFrom,X0,X2) ),
inference(flattening,[],[f10]) ).
fof(f10,plain,
! [X0,X1,X2] :
( ! [X3] :
( icext(X0,X3)
<=> ? [X4] :
( icext(X2,X4)
& iext(X1,X3,X4) ) )
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_someValuesFrom,X0,X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
! [X0,X1,X2] :
( ( iext(uri_owl_onProperty,X0,X1)
& iext(uri_owl_someValuesFrom,X0,X2) )
=> ! [X3] :
( icext(X0,X3)
<=> ? [X4] :
( icext(X2,X4)
& iext(X1,X3,X4) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2,X3,X1] :
( ( iext(uri_owl_onProperty,X2,X3)
& iext(uri_owl_someValuesFrom,X2,X1) )
=> ! [X0] :
( icext(X2,X0)
<=> ? [X4] :
( icext(X1,X4)
& iext(X3,X0,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_restrict_somevaluesfrom) ).
fof(f88,plain,
iext(uri_rdf_type,sK2(uri_ex_c,uri_ex_s,uri_ex_p),uri_ex_c),
inference(resolution,[],[f85,f26]) ).
fof(f26,plain,
! [X0,X1] :
( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f85,plain,
icext(uri_ex_c,sK2(uri_ex_c,uri_ex_s,uri_ex_p)),
inference(resolution,[],[f82,f30]) ).
fof(f30,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| icext(X0,sK2(X0,X1,X2)) ),
inference(cnf_transformation,[],[f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWB009+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue Apr 30 02:27:50 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % (19000)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.30 % (19002)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.30 % (19005)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.30 % (19003)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.13/0.30 % (19007)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.30 TRYING [1]
% 0.13/0.30 TRYING [2]
% 0.13/0.30 TRYING [1]
% 0.13/0.30 % (19005)First to succeed.
% 0.13/0.30 TRYING [2]
% 0.13/0.30 % (19003)Also succeeded, but the first one will report.
% 0.13/0.30 TRYING [3]
% 0.13/0.30 TRYING [3]
% 0.13/0.30 % (19005)Refutation found. Thanks to Tanya!
% 0.13/0.30 % SZS status Theorem for theBenchmark
% 0.13/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.30 % (19005)------------------------------
% 0.13/0.30 % (19005)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.30 % (19005)Termination reason: Refutation
% 0.13/0.30
% 0.13/0.30 % (19005)Memory used [KB]: 744
% 0.13/0.30 % (19005)Time elapsed: 0.003 s
% 0.13/0.30 % (19005)Instructions burned: 5 (million)
% 0.13/0.30 % (19005)------------------------------
% 0.13/0.30 % (19005)------------------------------
% 0.13/0.30 % (19000)Success in time 0.011 s
%------------------------------------------------------------------------------