TSTP Solution File: SWB081+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWB081+1 : 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_uns --cores 0 -t %d %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 : 300s
% DateTime : Wed Aug 31 18:36:56 EDT 2022
% Result : Theorem 0.20s 0.48s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of formulae : 69 ( 12 unt; 0 def)
% Number of atoms : 237 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 262 ( 94 ~; 92 |; 49 &)
% ( 11 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 5 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-3 aty)
% Number of variables : 112 ( 105 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1038,plain,
$false,
inference(avatar_sat_refutation,[],[f681,f686,f713,f757,f1037]) ).
fof(f1037,plain,
( ~ spl3_2
| spl3_4 ),
inference(avatar_contradiction_clause,[],[f1036]) ).
fof(f1036,plain,
( $false
| ~ spl3_2
| spl3_4 ),
inference(subsumption_resolution,[],[f1029,f931]) ).
fof(f931,plain,
( ~ icext(uri_ex_c1,sK2(uri_ex_c2,uri_ex_p,sK1(uri_ex_x2,uri_ex_x1)))
| spl3_4 ),
inference(unit_resulting_resolution,[],[f631,f784,f659]) ).
fof(f659,plain,
! [X2,X0,X1] :
( ~ icext(X1,X2)
| icext(X0,X2)
| ~ iext(uri_rdfs_subClassOf,X1,X0) ),
inference(cnf_transformation,[],[f620]) ).
fof(f620,plain,
! [X0,X1] :
( ( ic(X0)
& ! [X2] :
( ~ icext(X1,X2)
| icext(X0,X2) )
& ic(X1) )
| ~ iext(uri_rdfs_subClassOf,X1,X0) ),
inference(rectify,[],[f601]) ).
fof(f601,plain,
! [X1,X0] :
( ( ic(X1)
& ! [X2] :
( ~ icext(X0,X2)
| icext(X1,X2) )
& ic(X0) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ),
inference(ennf_transformation,[],[f566]) ).
fof(f566,plain,
! [X1,X0] :
( iext(uri_rdfs_subClassOf,X0,X1)
=> ( ! [X2] :
( icext(X0,X2)
=> icext(X1,X2) )
& ic(X1)
& ic(X0) ) ),
inference(rectify,[],[f68]) ).
fof(f68,axiom,
! [X4,X5] :
( iext(uri_rdfs_subClassOf,X4,X5)
=> ( ic(X5)
& ! [X3] :
( icext(X4,X3)
=> icext(X5,X3) )
& ic(X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subclassof_main) ).
fof(f784,plain,
( ~ icext(uri_ex_c2,sK2(uri_ex_c2,uri_ex_p,sK1(uri_ex_x2,uri_ex_x1)))
| spl3_4 ),
inference(unit_resulting_resolution,[],[f630,f628,f685,f641]) ).
fof(f641,plain,
! [X2,X3,X0,X1] :
( ~ icext(X0,sK2(X0,X1,X3))
| ~ iext(uri_owl_allValuesFrom,X2,X0)
| icext(X2,X3)
| ~ iext(uri_owl_onProperty,X2,X1) ),
inference(cnf_transformation,[],[f614]) ).
fof(f614,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( ! [X4] :
( ~ iext(X1,X3,X4)
| icext(X0,X4) )
| ~ icext(X2,X3) )
& ( icext(X2,X3)
| ( iext(X1,X3,sK2(X0,X1,X3))
& ~ icext(X0,sK2(X0,X1,X3)) ) ) )
| ~ iext(uri_owl_onProperty,X2,X1)
| ~ iext(uri_owl_allValuesFrom,X2,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f612,f613]) ).
fof(f613,plain,
! [X0,X1,X3] :
( ? [X5] :
( iext(X1,X3,X5)
& ~ icext(X0,X5) )
=> ( iext(X1,X3,sK2(X0,X1,X3))
& ~ icext(X0,sK2(X0,X1,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f612,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( ! [X4] :
( ~ iext(X1,X3,X4)
| icext(X0,X4) )
| ~ icext(X2,X3) )
& ( icext(X2,X3)
| ? [X5] :
( iext(X1,X3,X5)
& ~ icext(X0,X5) ) ) )
| ~ iext(uri_owl_onProperty,X2,X1)
| ~ iext(uri_owl_allValuesFrom,X2,X0) ),
inference(rectify,[],[f611]) ).
fof(f611,plain,
! [X1,X2,X0] :
( ! [X3] :
( ( ! [X4] :
( ~ iext(X2,X3,X4)
| icext(X1,X4) )
| ~ icext(X0,X3) )
& ( icext(X0,X3)
| ? [X4] :
( iext(X2,X3,X4)
& ~ icext(X1,X4) ) ) )
| ~ iext(uri_owl_onProperty,X0,X2)
| ~ iext(uri_owl_allValuesFrom,X0,X1) ),
inference(nnf_transformation,[],[f588]) ).
fof(f588,plain,
! [X1,X2,X0] :
( ! [X3] :
( ! [X4] :
( ~ iext(X2,X3,X4)
| icext(X1,X4) )
<=> icext(X0,X3) )
| ~ iext(uri_owl_onProperty,X0,X2)
| ~ iext(uri_owl_allValuesFrom,X0,X1) ),
inference(flattening,[],[f587]) ).
fof(f587,plain,
! [X2,X1,X0] :
( ! [X3] :
( ! [X4] :
( ~ iext(X2,X3,X4)
| icext(X1,X4) )
<=> icext(X0,X3) )
| ~ iext(uri_owl_allValuesFrom,X0,X1)
| ~ iext(uri_owl_onProperty,X0,X2) ),
inference(ennf_transformation,[],[f568]) ).
fof(f568,plain,
! [X2,X1,X0] :
( ( iext(uri_owl_allValuesFrom,X0,X1)
& iext(uri_owl_onProperty,X0,X2) )
=> ! [X3] :
( icext(X0,X3)
<=> ! [X4] :
( iext(X2,X3,X4)
=> icext(X1,X4) ) ) ),
inference(rectify,[],[f301]) ).
fof(f301,axiom,
! [X10,X4,X1] :
( ( iext(uri_owl_onProperty,X10,X1)
& iext(uri_owl_allValuesFrom,X10,X4) )
=> ! [X3] :
( icext(X10,X3)
<=> ! [X6] :
( iext(X1,X3,X6)
=> icext(X4,X6) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_restrict_allvaluesfrom) ).
fof(f685,plain,
( ~ icext(uri_ex_x2,sK1(uri_ex_x2,uri_ex_x1))
| spl3_4 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f683,plain,
( spl3_4
<=> icext(uri_ex_x2,sK1(uri_ex_x2,uri_ex_x1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f628,plain,
iext(uri_owl_allValuesFrom,uri_ex_x2,uri_ex_c2),
inference(cnf_transformation,[],[f561]) ).
fof(f561,axiom,
( iext(uri_owl_allValuesFrom,uri_ex_x1,uri_ex_c1)
& iext(uri_rdfs_subClassOf,uri_ex_c1,uri_ex_c2)
& iext(uri_owl_onProperty,uri_ex_x2,uri_ex_p)
& iext(uri_owl_onProperty,uri_ex_x1,uri_ex_p)
& iext(uri_owl_allValuesFrom,uri_ex_x2,uri_ex_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_restrict_allvalues_cmp_class) ).
fof(f630,plain,
iext(uri_owl_onProperty,uri_ex_x2,uri_ex_p),
inference(cnf_transformation,[],[f561]) ).
fof(f631,plain,
iext(uri_rdfs_subClassOf,uri_ex_c1,uri_ex_c2),
inference(cnf_transformation,[],[f561]) ).
fof(f1029,plain,
( icext(uri_ex_c1,sK2(uri_ex_c2,uri_ex_p,sK1(uri_ex_x2,uri_ex_x1)))
| ~ spl3_2
| spl3_4 ),
inference(unit_resulting_resolution,[],[f632,f629,f676,f785,f643]) ).
fof(f643,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_owl_onProperty,X2,X1)
| ~ icext(X2,X3)
| ~ iext(uri_owl_allValuesFrom,X2,X0)
| ~ iext(X1,X3,X4)
| icext(X0,X4) ),
inference(cnf_transformation,[],[f614]) ).
fof(f785,plain,
( iext(uri_ex_p,sK1(uri_ex_x2,uri_ex_x1),sK2(uri_ex_c2,uri_ex_p,sK1(uri_ex_x2,uri_ex_x1)))
| spl3_4 ),
inference(unit_resulting_resolution,[],[f628,f630,f685,f642]) ).
fof(f642,plain,
! [X2,X3,X0,X1] :
( iext(X1,X3,sK2(X0,X1,X3))
| ~ iext(uri_owl_onProperty,X2,X1)
| icext(X2,X3)
| ~ iext(uri_owl_allValuesFrom,X2,X0) ),
inference(cnf_transformation,[],[f614]) ).
fof(f676,plain,
( icext(uri_ex_x1,sK1(uri_ex_x2,uri_ex_x1))
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f674]) ).
fof(f674,plain,
( spl3_2
<=> icext(uri_ex_x1,sK1(uri_ex_x2,uri_ex_x1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f629,plain,
iext(uri_owl_onProperty,uri_ex_x1,uri_ex_p),
inference(cnf_transformation,[],[f561]) ).
fof(f632,plain,
iext(uri_owl_allValuesFrom,uri_ex_x1,uri_ex_c1),
inference(cnf_transformation,[],[f561]) ).
fof(f757,plain,
spl3_3,
inference(avatar_contradiction_clause,[],[f746]) ).
fof(f746,plain,
( $false
| spl3_3 ),
inference(unit_resulting_resolution,[],[f630,f728,f665]) ).
fof(f665,plain,
! [X0,X1] :
( icext(uri_owl_Restriction,X0)
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(cnf_transformation,[],[f600]) ).
fof(f600,plain,
! [X0,X1] :
( ( icext(uri_owl_Restriction,X0)
& ip(X1) )
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(ennf_transformation,[],[f574]) ).
fof(f574,plain,
! [X1,X0] :
( iext(uri_owl_onProperty,X0,X1)
=> ( icext(uri_owl_Restriction,X0)
& ip(X1) ) ),
inference(rectify,[],[f243]) ).
fof(f243,axiom,
! [X3,X6] :
( iext(uri_owl_onProperty,X3,X6)
=> ( icext(uri_owl_Restriction,X3)
& ip(X6) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_onproperty_ext) ).
fof(f728,plain,
( ~ icext(uri_owl_Restriction,uri_ex_x2)
| spl3_3 ),
inference(unit_resulting_resolution,[],[f680,f635]) ).
fof(f635,plain,
! [X0] :
( ic(X0)
| ~ icext(uri_owl_Restriction,X0) ),
inference(cnf_transformation,[],[f602]) ).
fof(f602,plain,
! [X0] :
( ~ icext(uri_owl_Restriction,X0)
| ic(X0) ),
inference(ennf_transformation,[],[f575]) ).
fof(f575,plain,
! [X0] :
( icext(uri_owl_Restriction,X0)
=> ic(X0) ),
inference(rectify,[],[f159]) ).
fof(f159,axiom,
! [X3] :
( icext(uri_owl_Restriction,X3)
=> ic(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_restriction_ext) ).
fof(f680,plain,
( ~ ic(uri_ex_x2)
| spl3_3 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f678,plain,
( spl3_3
<=> ic(uri_ex_x2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f713,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f702]) ).
fof(f702,plain,
( $false
| spl3_1 ),
inference(unit_resulting_resolution,[],[f629,f690,f665]) ).
fof(f690,plain,
( ~ icext(uri_owl_Restriction,uri_ex_x1)
| spl3_1 ),
inference(unit_resulting_resolution,[],[f672,f635]) ).
fof(f672,plain,
( ~ ic(uri_ex_x1)
| spl3_1 ),
inference(avatar_component_clause,[],[f670]) ).
fof(f670,plain,
( spl3_1
<=> ic(uri_ex_x1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f686,plain,
( ~ spl3_4
| ~ spl3_3
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f668,f670,f678,f683]) ).
fof(f668,plain,
( ~ ic(uri_ex_x1)
| ~ ic(uri_ex_x2)
| ~ icext(uri_ex_x2,sK1(uri_ex_x2,uri_ex_x1)) ),
inference(resolution,[],[f624,f640]) ).
fof(f640,plain,
! [X0,X1] :
( ~ icext(X0,sK1(X0,X1))
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,X1,X0) ),
inference(cnf_transformation,[],[f610]) ).
fof(f610,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X1,X0)
| ~ ic(X0)
| ( ~ icext(X0,sK1(X0,X1))
& icext(X1,sK1(X0,X1)) )
| ~ ic(X1) )
& ( ( ic(X0)
& ! [X3] :
( icext(X0,X3)
| ~ icext(X1,X3) )
& ic(X1) )
| ~ iext(uri_rdfs_subClassOf,X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f608,f609]) ).
fof(f609,plain,
! [X0,X1] :
( ? [X2] :
( ~ icext(X0,X2)
& icext(X1,X2) )
=> ( ~ icext(X0,sK1(X0,X1))
& icext(X1,sK1(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f608,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X1,X0)
| ~ ic(X0)
| ? [X2] :
( ~ icext(X0,X2)
& icext(X1,X2) )
| ~ ic(X1) )
& ( ( ic(X0)
& ! [X3] :
( icext(X0,X3)
| ~ icext(X1,X3) )
& ic(X1) )
| ~ iext(uri_rdfs_subClassOf,X1,X0) ) ),
inference(rectify,[],[f607]) ).
fof(f607,plain,
! [X1,X0] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X1)
| ? [X2] :
( ~ icext(X1,X2)
& icext(X0,X2) )
| ~ ic(X0) )
& ( ( ic(X1)
& ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) )
& ic(X0) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(flattening,[],[f606]) ).
fof(f606,plain,
! [X1,X0] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X1)
| ? [X2] :
( ~ icext(X1,X2)
& icext(X0,X2) )
| ~ ic(X0) )
& ( ( ic(X1)
& ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) )
& ic(X0) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(nnf_transformation,[],[f593]) ).
fof(f593,plain,
! [X1,X0] :
( iext(uri_rdfs_subClassOf,X0,X1)
<=> ( ic(X1)
& ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) )
& ic(X0) ) ),
inference(ennf_transformation,[],[f567]) ).
fof(f567,plain,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
<=> ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X0,X2)
=> icext(X1,X2) ) ) ),
inference(rectify,[],[f343]) ).
fof(f343,axiom,
! [X12,X14] :
( iext(uri_rdfs_subClassOf,X12,X14)
<=> ( ! [X3] :
( icext(X12,X3)
=> icext(X14,X3) )
& ic(X12)
& ic(X14) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).
fof(f624,plain,
~ iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2),
inference(cnf_transformation,[],[f562]) ).
fof(f562,plain,
~ iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2),
inference(flattening,[],[f560]) ).
fof(f560,negated_conjecture,
~ iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2),
inference(negated_conjecture,[],[f559]) ).
fof(f559,conjecture,
iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_restrict_allvalues_cmp_class) ).
fof(f681,plain,
( ~ spl3_1
| spl3_2
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f666,f678,f674,f670]) ).
fof(f666,plain,
( ~ ic(uri_ex_x2)
| icext(uri_ex_x1,sK1(uri_ex_x2,uri_ex_x1))
| ~ ic(uri_ex_x1) ),
inference(resolution,[],[f624,f639]) ).
fof(f639,plain,
! [X0,X1] :
( icext(X1,sK1(X0,X1))
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,X1,X0)
| ~ ic(X1) ),
inference(cnf_transformation,[],[f610]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWB081+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %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 : 300
% 0.13/0.34 % DateTime : Tue Aug 30 17:48:30 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 % (17352)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.45 % (17344)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.46 % (17336)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.46 % (17344)Instruction limit reached!
% 0.20/0.46 % (17344)------------------------------
% 0.20/0.46 % (17344)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.46 % (17344)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.46 % (17344)Termination reason: Unknown
% 0.20/0.46 % (17344)Termination phase: Preprocessing 2
% 0.20/0.46
% 0.20/0.46 % (17344)Memory used [KB]: 2430
% 0.20/0.46 % (17344)Time elapsed: 0.008 s
% 0.20/0.46 % (17344)Instructions burned: 8 (million)
% 0.20/0.46 % (17344)------------------------------
% 0.20/0.46 % (17344)------------------------------
% 0.20/0.48 % (17336)First to succeed.
% 0.20/0.48 % (17336)Refutation found. Thanks to Tanya!
% 0.20/0.48 % SZS status Theorem for theBenchmark
% 0.20/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.48 % (17336)------------------------------
% 0.20/0.48 % (17336)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48 % (17336)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48 % (17336)Termination reason: Refutation
% 0.20/0.48
% 0.20/0.48 % (17336)Memory used [KB]: 6652
% 0.20/0.48 % (17336)Time elapsed: 0.060 s
% 0.20/0.48 % (17336)Instructions burned: 12 (million)
% 0.20/0.48 % (17336)------------------------------
% 0.20/0.48 % (17336)------------------------------
% 0.20/0.48 % (17326)Success in time 0.13 s
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