TSTP Solution File: SWB044+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWB044+1 : 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 : n009.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 15:42:12 EDT 2024
% Result : Theorem 39.42s 6.06s
% Output : Refutation 39.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 22
% Syntax : Number of formulae : 119 ( 37 unt; 0 def)
% Number of atoms : 458 ( 29 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 501 ( 162 ~; 146 |; 146 &)
% ( 33 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 16 con; 0-2 aty)
% Number of variables : 264 ( 225 !; 39 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f469360,plain,
$false,
inference(subsumption_resolution,[],[f469245,f3762]) ).
fof(f3762,plain,
! [X1] : ~ iext(uri_owl_differentFrom,X1,X1),
inference(equality_resolution,[],[f3039]) ).
fof(f3039,plain,
! [X0,X1] :
( X0 != X1
| ~ iext(uri_owl_differentFrom,X0,X1) ),
inference(cnf_transformation,[],[f1812]) ).
fof(f1812,plain,
! [X0,X1] :
( ( iext(uri_owl_differentFrom,X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ iext(uri_owl_differentFrom,X0,X1) ) ),
inference(nnf_transformation,[],[f831]) ).
fof(f831,plain,
! [X0,X1] :
( iext(uri_owl_differentFrom,X0,X1)
<=> X0 != X1 ),
inference(rectify,[],[f345]) ).
fof(f345,axiom,
! [X3,X6] :
( iext(uri_owl_differentFrom,X3,X6)
<=> X3 != X6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_differentfrom) ).
fof(f469245,plain,
iext(uri_owl_differentFrom,uri_ex_x,uri_ex_x),
inference(superposition,[],[f3756,f469233]) ).
fof(f469233,plain,
uri_ex_x = uri_ex_y,
inference(unit_resulting_resolution,[],[f467462,f469228,f3160]) ).
fof(f3160,plain,
! [X3,X0,X1] :
( ~ sP61(X0,X1)
| ~ icext(X1,X3)
| X0 = X3 ),
inference(cnf_transformation,[],[f1911]) ).
fof(f1911,plain,
! [X0,X1] :
( ( sP61(X0,X1)
| ( ( sK259(X0,X1) != X0
| ~ icext(X1,sK259(X0,X1)) )
& ( sK259(X0,X1) = X0
| icext(X1,sK259(X0,X1)) ) ) )
& ( ! [X3] :
( ( icext(X1,X3)
| X0 != X3 )
& ( X0 = X3
| ~ icext(X1,X3) ) )
| ~ sP61(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK259])],[f1909,f1910]) ).
fof(f1910,plain,
! [X0,X1] :
( ? [X2] :
( ( X0 != X2
| ~ icext(X1,X2) )
& ( X0 = X2
| icext(X1,X2) ) )
=> ( ( sK259(X0,X1) != X0
| ~ icext(X1,sK259(X0,X1)) )
& ( sK259(X0,X1) = X0
| icext(X1,sK259(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f1909,plain,
! [X0,X1] :
( ( sP61(X0,X1)
| ? [X2] :
( ( X0 != X2
| ~ icext(X1,X2) )
& ( X0 = X2
| icext(X1,X2) ) ) )
& ( ! [X3] :
( ( icext(X1,X3)
| X0 != X3 )
& ( X0 = X3
| ~ icext(X1,X3) ) )
| ~ sP61(X0,X1) ) ),
inference(rectify,[],[f1908]) ).
fof(f1908,plain,
! [X2,X0] :
( ( sP61(X2,X0)
| ? [X3] :
( ( X2 != X3
| ~ icext(X0,X3) )
& ( X2 = X3
| icext(X0,X3) ) ) )
& ( ! [X3] :
( ( icext(X0,X3)
| X2 != X3 )
& ( X2 = X3
| ~ icext(X0,X3) ) )
| ~ sP61(X2,X0) ) ),
inference(nnf_transformation,[],[f1428]) ).
fof(f1428,plain,
! [X2,X0] :
( sP61(X2,X0)
<=> ! [X3] :
( icext(X0,X3)
<=> X2 = X3 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).
fof(f469228,plain,
sP61(uri_ex_x,sK373),
inference(unit_resulting_resolution,[],[f469223,f3158]) ).
fof(f3158,plain,
! [X0,X1] :
( ~ sP62(X0,X1)
| sP61(X1,X0) ),
inference(cnf_transformation,[],[f1907]) ).
fof(f1907,plain,
! [X0,X1] :
( ( sP62(X0,X1)
| ~ sP61(X1,X0)
| ~ ic(X0) )
& ( ( sP61(X1,X0)
& ic(X0) )
| ~ sP62(X0,X1) ) ),
inference(rectify,[],[f1906]) ).
fof(f1906,plain,
! [X0,X2] :
( ( sP62(X0,X2)
| ~ sP61(X2,X0)
| ~ ic(X0) )
& ( ( sP61(X2,X0)
& ic(X0) )
| ~ sP62(X0,X2) ) ),
inference(flattening,[],[f1905]) ).
fof(f1905,plain,
! [X0,X2] :
( ( sP62(X0,X2)
| ~ sP61(X2,X0)
| ~ ic(X0) )
& ( ( sP61(X2,X0)
& ic(X0) )
| ~ sP62(X0,X2) ) ),
inference(nnf_transformation,[],[f1429]) ).
fof(f1429,plain,
! [X0,X2] :
( sP62(X0,X2)
<=> ( sP61(X2,X0)
& ic(X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).
fof(f469223,plain,
sP62(sK373,uri_ex_x),
inference(unit_resulting_resolution,[],[f3754,f467423,f3155]) ).
fof(f3155,plain,
! [X2,X0,X1] :
( ~ sP63(X0,X1,X2)
| ~ iext(uri_owl_oneOf,X1,X2)
| sP62(X1,X0) ),
inference(cnf_transformation,[],[f1904]) ).
fof(f1904,plain,
! [X0,X1,X2] :
( ( ( iext(uri_owl_oneOf,X1,X2)
| ~ sP62(X1,X0) )
& ( sP62(X1,X0)
| ~ iext(uri_owl_oneOf,X1,X2) ) )
| ~ sP63(X0,X1,X2) ),
inference(rectify,[],[f1903]) ).
fof(f1903,plain,
! [X2,X0,X1] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ sP62(X0,X2) )
& ( sP62(X0,X2)
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ sP63(X2,X0,X1) ),
inference(nnf_transformation,[],[f1430]) ).
fof(f1430,plain,
! [X2,X0,X1] :
( ( iext(uri_owl_oneOf,X0,X1)
<=> sP62(X0,X2) )
| ~ sP63(X2,X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).
fof(f467423,plain,
! [X0] : sP63(uri_ex_x,X0,sK374),
inference(unit_resulting_resolution,[],[f3759,f3760,f3164]) ).
fof(f3164,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| sP63(X2,X0,X1)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(cnf_transformation,[],[f1431]) ).
fof(f1431,plain,
! [X0,X1,X2] :
( sP63(X2,X0,X1)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(definition_folding,[],[f1205,f1430,f1429,f1428]) ).
fof(f1205,plain,
! [X0,X1,X2] :
( ( iext(uri_owl_oneOf,X0,X1)
<=> ( ! [X3] :
( icext(X0,X3)
<=> X2 = X3 )
& ic(X0) ) )
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(flattening,[],[f1204]) ).
fof(f1204,plain,
! [X0,X1,X2] :
( ( iext(uri_owl_oneOf,X0,X1)
<=> ( ! [X3] :
( icext(X0,X3)
<=> X2 = X3 )
& ic(X0) ) )
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(ennf_transformation,[],[f853]) ).
fof(f853,plain,
! [X0,X1,X2] :
( ( iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_rdf_first,X1,X2) )
=> ( iext(uri_owl_oneOf,X0,X1)
<=> ( ! [X3] :
( icext(X0,X3)
<=> X2 = X3 )
& ic(X0) ) ) ),
inference(rectify,[],[f295]) ).
fof(f295,axiom,
! [X10,X11,X20] :
( ( iext(uri_rdf_rest,X11,uri_rdf_nil)
& iext(uri_rdf_first,X11,X20) )
=> ( iext(uri_owl_oneOf,X10,X11)
<=> ( ! [X3] :
( icext(X10,X3)
<=> X3 = X20 )
& ic(X10) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_class_001) ).
fof(f3760,plain,
iext(uri_rdf_rest,sK374,uri_rdf_nil),
inference(cnf_transformation,[],[f2289]) ).
fof(f2289,plain,
( iext(uri_rdf_rest,sK374,uri_rdf_nil)
& iext(uri_rdf_first,sK374,uri_ex_x)
& iext(uri_rdf_rest,sK376,uri_rdf_nil)
& iext(uri_rdf_first,sK376,uri_ex_y)
& iext(uri_owl_differentFrom,uri_ex_x,uri_ex_y)
& iext(uri_ex_p,uri_ex_x,uri_ex_y)
& iext(uri_owl_oneOf,sK373,sK374)
& iext(uri_rdfs_range,uri_ex_p,sK375)
& iext(uri_rdfs_domain,uri_ex_p,sK373)
& iext(uri_owl_oneOf,sK375,sK376) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK373,sK374,sK375,sK376])],[f921,f2288]) ).
fof(f2288,plain,
( ? [X0,X1,X2,X3] :
( iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_rdf_first,X1,uri_ex_x)
& iext(uri_rdf_rest,X3,uri_rdf_nil)
& iext(uri_rdf_first,X3,uri_ex_y)
& iext(uri_owl_differentFrom,uri_ex_x,uri_ex_y)
& iext(uri_ex_p,uri_ex_x,uri_ex_y)
& iext(uri_owl_oneOf,X0,X1)
& iext(uri_rdfs_range,uri_ex_p,X2)
& iext(uri_rdfs_domain,uri_ex_p,X0)
& iext(uri_owl_oneOf,X2,X3) )
=> ( iext(uri_rdf_rest,sK374,uri_rdf_nil)
& iext(uri_rdf_first,sK374,uri_ex_x)
& iext(uri_rdf_rest,sK376,uri_rdf_nil)
& iext(uri_rdf_first,sK376,uri_ex_y)
& iext(uri_owl_differentFrom,uri_ex_x,uri_ex_y)
& iext(uri_ex_p,uri_ex_x,uri_ex_y)
& iext(uri_owl_oneOf,sK373,sK374)
& iext(uri_rdfs_range,uri_ex_p,sK375)
& iext(uri_rdfs_domain,uri_ex_p,sK373)
& iext(uri_owl_oneOf,sK375,sK376) ) ),
introduced(choice_axiom,[]) ).
fof(f921,plain,
? [X0,X1,X2,X3] :
( iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_rdf_first,X1,uri_ex_x)
& iext(uri_rdf_rest,X3,uri_rdf_nil)
& iext(uri_rdf_first,X3,uri_ex_y)
& iext(uri_owl_differentFrom,uri_ex_x,uri_ex_y)
& iext(uri_ex_p,uri_ex_x,uri_ex_y)
& iext(uri_owl_oneOf,X0,X1)
& iext(uri_rdfs_range,uri_ex_p,X2)
& iext(uri_rdfs_domain,uri_ex_p,X0)
& iext(uri_owl_oneOf,X2,X3) ),
inference(rectify,[],[f561]) ).
fof(f561,axiom,
? [X37,X41,X42,X36] :
( iext(uri_rdf_rest,X41,uri_rdf_nil)
& iext(uri_rdf_first,X41,uri_ex_x)
& iext(uri_rdf_rest,X36,uri_rdf_nil)
& iext(uri_rdf_first,X36,uri_ex_y)
& iext(uri_owl_differentFrom,uri_ex_x,uri_ex_y)
& iext(uri_ex_p,uri_ex_x,uri_ex_y)
& iext(uri_owl_oneOf,X37,X41)
& iext(uri_rdfs_range,uri_ex_p,X42)
& iext(uri_rdfs_domain,uri_ex_p,X37)
& iext(uri_owl_oneOf,X42,X36) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_char_asymmetric_ext) ).
fof(f3759,plain,
iext(uri_rdf_first,sK374,uri_ex_x),
inference(cnf_transformation,[],[f2289]) ).
fof(f3754,plain,
iext(uri_owl_oneOf,sK373,sK374),
inference(cnf_transformation,[],[f2289]) ).
fof(f467462,plain,
icext(sK373,uri_ex_y),
inference(superposition,[],[f139321,f467445]) ).
fof(f467445,plain,
uri_ex_y = sK187(uri_ex_p),
inference(unit_resulting_resolution,[],[f139577,f467440,f3160]) ).
fof(f467440,plain,
sP61(uri_ex_y,sK375),
inference(unit_resulting_resolution,[],[f467435,f3158]) ).
fof(f467435,plain,
sP62(sK375,uri_ex_y),
inference(unit_resulting_resolution,[],[f3751,f467422,f3155]) ).
fof(f467422,plain,
! [X0] : sP63(uri_ex_y,X0,sK376),
inference(unit_resulting_resolution,[],[f3757,f3758,f3164]) ).
fof(f3758,plain,
iext(uri_rdf_rest,sK376,uri_rdf_nil),
inference(cnf_transformation,[],[f2289]) ).
fof(f3757,plain,
iext(uri_rdf_first,sK376,uri_ex_y),
inference(cnf_transformation,[],[f2289]) ).
fof(f3751,plain,
iext(uri_owl_oneOf,sK375,sK376),
inference(cnf_transformation,[],[f2289]) ).
fof(f139577,plain,
icext(sK375,sK187(uri_ex_p)),
inference(unit_resulting_resolution,[],[f26366,f139555,f3799]) ).
fof(f3799,plain,
! [X0,X1,X5] :
( ~ sP40(X0,X1)
| icext(X0,X5)
| sP388(X5,X1) ),
inference(cnf_transformation,[],[f3799_D]) ).
fof(f3799_D,plain,
! [X1,X5] :
( ! [X0] :
( ~ sP40(X0,X1)
| icext(X0,X5) )
<=> ~ sP388(X5,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP388])]) ).
fof(f139555,plain,
~ sP388(sK187(uri_ex_p),uri_ex_p),
inference(unit_resulting_resolution,[],[f115340,f3800]) ).
fof(f3800,plain,
! [X1,X4,X5] :
( ~ iext(X1,X4,X5)
| ~ sP388(X5,X1) ),
inference(general_splitting,[],[f3064,f3799_D]) ).
fof(f3064,plain,
! [X0,X1,X4,X5] :
( icext(X0,X5)
| ~ iext(X1,X4,X5)
| ~ sP40(X0,X1) ),
inference(cnf_transformation,[],[f1835]) ).
fof(f1835,plain,
! [X0,X1] :
( ( sP40(X0,X1)
| ( ~ icext(X0,sK246(X0,X1))
& iext(X1,sK245(X0,X1),sK246(X0,X1)) )
| ~ ip(X0)
| ~ ip(X1) )
& ( ( ! [X4,X5] :
( icext(X0,X5)
| ~ iext(X1,X4,X5) )
& ip(X0)
& ip(X1) )
| ~ sP40(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK245,sK246])],[f1833,f1834]) ).
fof(f1834,plain,
! [X0,X1] :
( ? [X2,X3] :
( ~ icext(X0,X3)
& iext(X1,X2,X3) )
=> ( ~ icext(X0,sK246(X0,X1))
& iext(X1,sK245(X0,X1),sK246(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f1833,plain,
! [X0,X1] :
( ( sP40(X0,X1)
| ? [X2,X3] :
( ~ icext(X0,X3)
& iext(X1,X2,X3) )
| ~ ip(X0)
| ~ ip(X1) )
& ( ( ! [X4,X5] :
( icext(X0,X5)
| ~ iext(X1,X4,X5) )
& ip(X0)
& ip(X1) )
| ~ sP40(X0,X1) ) ),
inference(rectify,[],[f1832]) ).
fof(f1832,plain,
! [X1,X0] :
( ( sP40(X1,X0)
| ? [X2,X3] :
( ~ icext(X1,X3)
& iext(X0,X2,X3) )
| ~ ip(X1)
| ~ ip(X0) )
& ( ( ! [X2,X3] :
( icext(X1,X3)
| ~ iext(X0,X2,X3) )
& ip(X1)
& ip(X0) )
| ~ sP40(X1,X0) ) ),
inference(flattening,[],[f1831]) ).
fof(f1831,plain,
! [X1,X0] :
( ( sP40(X1,X0)
| ? [X2,X3] :
( ~ icext(X1,X3)
& iext(X0,X2,X3) )
| ~ ip(X1)
| ~ ip(X0) )
& ( ( ! [X2,X3] :
( icext(X1,X3)
| ~ iext(X0,X2,X3) )
& ip(X1)
& ip(X0) )
| ~ sP40(X1,X0) ) ),
inference(nnf_transformation,[],[f1397]) ).
fof(f1397,plain,
! [X1,X0] :
( sP40(X1,X0)
<=> ( ! [X2,X3] :
( icext(X1,X3)
| ~ iext(X0,X2,X3) )
& ip(X1)
& ip(X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f115340,plain,
iext(uri_ex_p,sK188(uri_ex_p),sK187(uri_ex_p)),
inference(unit_resulting_resolution,[],[f28653,f14318,f2665]) ).
fof(f2665,plain,
! [X0] :
( ~ ip(X0)
| iext(X0,sK188(X0),sK187(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f1642]) ).
fof(f1642,plain,
! [X0] :
( ( sP4(X0)
| ( iext(X0,sK188(X0),sK187(X0))
& iext(X0,sK187(X0),sK188(X0)) )
| ~ ip(X0) )
& ( ( ! [X3,X4] :
( ~ iext(X0,X4,X3)
| ~ iext(X0,X3,X4) )
& ip(X0) )
| ~ sP4(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK187,sK188])],[f1640,f1641]) ).
fof(f1641,plain,
! [X0] :
( ? [X1,X2] :
( iext(X0,X2,X1)
& iext(X0,X1,X2) )
=> ( iext(X0,sK188(X0),sK187(X0))
& iext(X0,sK187(X0),sK188(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f1640,plain,
! [X0] :
( ( sP4(X0)
| ? [X1,X2] :
( iext(X0,X2,X1)
& iext(X0,X1,X2) )
| ~ ip(X0) )
& ( ( ! [X3,X4] :
( ~ iext(X0,X4,X3)
| ~ iext(X0,X3,X4) )
& ip(X0) )
| ~ sP4(X0) ) ),
inference(rectify,[],[f1639]) ).
fof(f1639,plain,
! [X0] :
( ( sP4(X0)
| ? [X1,X2] :
( iext(X0,X2,X1)
& iext(X0,X1,X2) )
| ~ ip(X0) )
& ( ( ! [X1,X2] :
( ~ iext(X0,X2,X1)
| ~ iext(X0,X1,X2) )
& ip(X0) )
| ~ sP4(X0) ) ),
inference(flattening,[],[f1638]) ).
fof(f1638,plain,
! [X0] :
( ( sP4(X0)
| ? [X1,X2] :
( iext(X0,X2,X1)
& iext(X0,X1,X2) )
| ~ ip(X0) )
& ( ( ! [X1,X2] :
( ~ iext(X0,X2,X1)
| ~ iext(X0,X1,X2) )
& ip(X0) )
| ~ sP4(X0) ) ),
inference(nnf_transformation,[],[f1338]) ).
fof(f1338,plain,
! [X0] :
( sP4(X0)
<=> ( ! [X1,X2] :
( ~ iext(X0,X2,X1)
| ~ iext(X0,X1,X2) )
& ip(X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f14318,plain,
ip(uri_ex_p),
inference(unit_resulting_resolution,[],[f3755,f3071]) ).
fof(f3071,plain,
! [X2,X0,X1] :
( ~ iext(X1,X0,X2)
| ip(X1) ),
inference(cnf_transformation,[],[f1171]) ).
fof(f1171,plain,
! [X0,X1,X2] :
( ip(X1)
| ~ iext(X1,X0,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1,X2] :
( iext(X1,X0,X2)
=> ip(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',simple_iext_property) ).
fof(f3755,plain,
iext(uri_ex_p,uri_ex_x,uri_ex_y),
inference(cnf_transformation,[],[f2289]) ).
fof(f28653,plain,
~ sP4(uri_ex_p),
inference(unit_resulting_resolution,[],[f27744,f2667]) ).
fof(f2667,plain,
! [X0] :
( ~ sP4(X0)
| icext(uri_owl_AsymmetricProperty,X0) ),
inference(cnf_transformation,[],[f1643]) ).
fof(f1643,plain,
! [X0] :
( ( icext(uri_owl_AsymmetricProperty,X0)
| ~ sP4(X0) )
& ( sP4(X0)
| ~ icext(uri_owl_AsymmetricProperty,X0) ) ),
inference(nnf_transformation,[],[f1339]) ).
fof(f1339,plain,
! [X0] :
( icext(uri_owl_AsymmetricProperty,X0)
<=> sP4(X0) ),
inference(definition_folding,[],[f1022,f1338]) ).
fof(f1022,plain,
! [X0] :
( icext(uri_owl_AsymmetricProperty,X0)
<=> ( ! [X1,X2] :
( ~ iext(X0,X2,X1)
| ~ iext(X0,X1,X2) )
& ip(X0) ) ),
inference(ennf_transformation,[],[f684]) ).
fof(f684,plain,
! [X0] :
( icext(uri_owl_AsymmetricProperty,X0)
<=> ( ! [X1,X2] :
( iext(X0,X1,X2)
=> ~ iext(X0,X2,X1) )
& ip(X0) ) ),
inference(rectify,[],[f392]) ).
fof(f392,axiom,
! [X1] :
( icext(uri_owl_AsymmetricProperty,X1)
<=> ( ! [X3,X6] :
( iext(X1,X3,X6)
=> ~ iext(X1,X6,X3) )
& ip(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_asymmetric) ).
fof(f27744,plain,
~ icext(uri_owl_AsymmetricProperty,uri_ex_p),
inference(unit_resulting_resolution,[],[f2290,f3070]) ).
fof(f3070,plain,
! [X0,X1] :
( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[],[f1837]) ).
fof(f1837,plain,
! [X0,X1] :
( ( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) )
& ( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ) ),
inference(nnf_transformation,[],[f836]) ).
fof(f836,plain,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
<=> icext(X1,X0) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X3,X4] :
( iext(uri_rdf_type,X3,X4)
<=> icext(X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f2290,plain,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_AsymmetricProperty),
inference(cnf_transformation,[],[f562]) ).
fof(f562,plain,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_AsymmetricProperty),
inference(flattening,[],[f560]) ).
fof(f560,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_AsymmetricProperty),
inference(negated_conjecture,[],[f559]) ).
fof(f559,conjecture,
iext(uri_rdf_type,uri_ex_p,uri_owl_AsymmetricProperty),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_char_asymmetric_ext) ).
fof(f26366,plain,
sP40(sK375,uri_ex_p),
inference(unit_resulting_resolution,[],[f3753,f3067]) ).
fof(f3067,plain,
! [X0,X1] :
( ~ iext(uri_rdfs_range,X0,X1)
| sP40(X1,X0) ),
inference(cnf_transformation,[],[f1836]) ).
fof(f1836,plain,
! [X0,X1] :
( ( iext(uri_rdfs_range,X0,X1)
| ~ sP40(X1,X0) )
& ( sP40(X1,X0)
| ~ iext(uri_rdfs_range,X0,X1) ) ),
inference(nnf_transformation,[],[f1398]) ).
fof(f1398,plain,
! [X0,X1] :
( iext(uri_rdfs_range,X0,X1)
<=> sP40(X1,X0) ),
inference(definition_folding,[],[f1170,f1397]) ).
fof(f1170,plain,
! [X0,X1] :
( iext(uri_rdfs_range,X0,X1)
<=> ( ! [X2,X3] :
( icext(X1,X3)
| ~ iext(X0,X2,X3) )
& ip(X1)
& ip(X0) ) ),
inference(ennf_transformation,[],[f835]) ).
fof(f835,plain,
! [X0,X1] :
( iext(uri_rdfs_range,X0,X1)
<=> ( ! [X2,X3] :
( iext(X0,X2,X3)
=> icext(X1,X3) )
& ip(X1)
& ip(X0) ) ),
inference(rectify,[],[f342]) ).
fof(f342,axiom,
! [X1,X4] :
( iext(uri_rdfs_range,X1,X4)
<=> ( ! [X3,X6] :
( iext(X1,X3,X6)
=> icext(X4,X6) )
& ip(X4)
& ip(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_range) ).
fof(f3753,plain,
iext(uri_rdfs_range,uri_ex_p,sK375),
inference(cnf_transformation,[],[f2289]) ).
fof(f139321,plain,
icext(sK373,sK187(uri_ex_p)),
inference(unit_resulting_resolution,[],[f25671,f139301,f3797]) ).
fof(f3797,plain,
! [X0,X1,X4] :
( ~ sP39(X0,X1)
| icext(X0,X4)
| sP387(X4,X1) ),
inference(cnf_transformation,[],[f3797_D]) ).
fof(f3797_D,plain,
! [X1,X4] :
( ! [X0] :
( ~ sP39(X0,X1)
| icext(X0,X4) )
<=> ~ sP387(X4,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP387])]) ).
fof(f139301,plain,
~ sP387(sK187(uri_ex_p),uri_ex_p),
inference(unit_resulting_resolution,[],[f114845,f3798]) ).
fof(f3798,plain,
! [X1,X4,X5] :
( ~ iext(X1,X4,X5)
| ~ sP387(X4,X1) ),
inference(general_splitting,[],[f3057,f3797_D]) ).
fof(f3057,plain,
! [X0,X1,X4,X5] :
( icext(X0,X4)
| ~ iext(X1,X4,X5)
| ~ sP39(X0,X1) ),
inference(cnf_transformation,[],[f1829]) ).
fof(f1829,plain,
! [X0,X1] :
( ( sP39(X0,X1)
| ( ~ icext(X0,sK243(X0,X1))
& iext(X1,sK243(X0,X1),sK244(X0,X1)) )
| ~ ic(X0)
| ~ ip(X1) )
& ( ( ! [X4,X5] :
( icext(X0,X4)
| ~ iext(X1,X4,X5) )
& ic(X0)
& ip(X1) )
| ~ sP39(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK243,sK244])],[f1827,f1828]) ).
fof(f1828,plain,
! [X0,X1] :
( ? [X2,X3] :
( ~ icext(X0,X2)
& iext(X1,X2,X3) )
=> ( ~ icext(X0,sK243(X0,X1))
& iext(X1,sK243(X0,X1),sK244(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f1827,plain,
! [X0,X1] :
( ( sP39(X0,X1)
| ? [X2,X3] :
( ~ icext(X0,X2)
& iext(X1,X2,X3) )
| ~ ic(X0)
| ~ ip(X1) )
& ( ( ! [X4,X5] :
( icext(X0,X4)
| ~ iext(X1,X4,X5) )
& ic(X0)
& ip(X1) )
| ~ sP39(X0,X1) ) ),
inference(rectify,[],[f1826]) ).
fof(f1826,plain,
! [X1,X0] :
( ( sP39(X1,X0)
| ? [X2,X3] :
( ~ icext(X1,X2)
& iext(X0,X2,X3) )
| ~ ic(X1)
| ~ ip(X0) )
& ( ( ! [X2,X3] :
( icext(X1,X2)
| ~ iext(X0,X2,X3) )
& ic(X1)
& ip(X0) )
| ~ sP39(X1,X0) ) ),
inference(flattening,[],[f1825]) ).
fof(f1825,plain,
! [X1,X0] :
( ( sP39(X1,X0)
| ? [X2,X3] :
( ~ icext(X1,X2)
& iext(X0,X2,X3) )
| ~ ic(X1)
| ~ ip(X0) )
& ( ( ! [X2,X3] :
( icext(X1,X2)
| ~ iext(X0,X2,X3) )
& ic(X1)
& ip(X0) )
| ~ sP39(X1,X0) ) ),
inference(nnf_transformation,[],[f1395]) ).
fof(f1395,plain,
! [X1,X0] :
( sP39(X1,X0)
<=> ( ! [X2,X3] :
( icext(X1,X2)
| ~ iext(X0,X2,X3) )
& ic(X1)
& ip(X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f114845,plain,
iext(uri_ex_p,sK187(uri_ex_p),sK188(uri_ex_p)),
inference(unit_resulting_resolution,[],[f28653,f14318,f2664]) ).
fof(f2664,plain,
! [X0] :
( ~ ip(X0)
| iext(X0,sK187(X0),sK188(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f1642]) ).
fof(f25671,plain,
sP39(sK373,uri_ex_p),
inference(unit_resulting_resolution,[],[f3752,f3060]) ).
fof(f3060,plain,
! [X0,X1] :
( ~ iext(uri_rdfs_domain,X0,X1)
| sP39(X1,X0) ),
inference(cnf_transformation,[],[f1830]) ).
fof(f1830,plain,
! [X0,X1] :
( ( iext(uri_rdfs_domain,X0,X1)
| ~ sP39(X1,X0) )
& ( sP39(X1,X0)
| ~ iext(uri_rdfs_domain,X0,X1) ) ),
inference(nnf_transformation,[],[f1396]) ).
fof(f1396,plain,
! [X0,X1] :
( iext(uri_rdfs_domain,X0,X1)
<=> sP39(X1,X0) ),
inference(definition_folding,[],[f1169,f1395]) ).
fof(f1169,plain,
! [X0,X1] :
( iext(uri_rdfs_domain,X0,X1)
<=> ( ! [X2,X3] :
( icext(X1,X2)
| ~ iext(X0,X2,X3) )
& ic(X1)
& ip(X0) ) ),
inference(ennf_transformation,[],[f834]) ).
fof(f834,plain,
! [X0,X1] :
( iext(uri_rdfs_domain,X0,X1)
<=> ( ! [X2,X3] :
( iext(X0,X2,X3)
=> icext(X1,X2) )
& ic(X1)
& ip(X0) ) ),
inference(rectify,[],[f341]) ).
fof(f341,axiom,
! [X1,X4] :
( iext(uri_rdfs_domain,X1,X4)
<=> ( ! [X3,X6] :
( iext(X1,X3,X6)
=> icext(X4,X3) )
& ic(X4)
& ip(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_domain) ).
fof(f3752,plain,
iext(uri_rdfs_domain,uri_ex_p,sK373),
inference(cnf_transformation,[],[f2289]) ).
fof(f3756,plain,
iext(uri_owl_differentFrom,uri_ex_x,uri_ex_y),
inference(cnf_transformation,[],[f2289]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWB044+1 : TPTP v8.1.2. Released v5.2.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n009.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 02:16:11 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (2914)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39 % (2915)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.39 % (2921)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.21/0.40 % (2919)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.21/0.40 % (2916)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.40 % (2917)WARNING: value z3 for option sas not known
% 0.21/0.40 % (2918)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.40 % (2917)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.40 % (2920)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.21/0.59 TRYING [1]
% 1.80/0.62 TRYING [2]
% 2.98/0.85 TRYING [3]
% 6.10/1.28 TRYING [1]
% 7.21/1.39 TRYING [2]
% 8.21/1.58 TRYING [4]
% 8.88/1.66 TRYING [1]
% 9.33/1.69 TRYING [2]
% 11.32/2.03 TRYING [3]
% 16.54/2.73 TRYING [3]
% 19.18/3.10 TRYING [4]
% 27.52/4.29 TRYING [5]
% 38.30/5.86 TRYING [5]
% 39.42/6.05 % (2921)First to succeed.
% 39.42/6.06 % (2921)Refutation found. Thanks to Tanya!
% 39.42/6.06 % SZS status Theorem for theBenchmark
% 39.42/6.06 % SZS output start Proof for theBenchmark
% See solution above
% 39.42/6.06 % (2921)------------------------------
% 39.42/6.06 % (2921)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 39.42/6.06 % (2921)Termination reason: Refutation
% 39.42/6.06
% 39.42/6.06 % (2921)Memory used [KB]: 71327
% 39.42/6.06 % (2921)Time elapsed: 5.657 s
% 39.42/6.06 % (2921)Instructions burned: 16405 (million)
% 39.42/6.06 % (2921)------------------------------
% 39.42/6.06 % (2921)------------------------------
% 39.42/6.06 % (2914)Success in time 5.691 s
%------------------------------------------------------------------------------