TSTP Solution File: SWB080+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWB080+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n017.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 : Thu Aug 31 20:14:02 EDT 2023
% Result : Theorem 16.31s 2.77s
% Output : Refutation 16.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 14
% Syntax : Number of formulae : 81 ( 29 unt; 0 def)
% Number of atoms : 446 ( 29 equ)
% Maximal formula atoms : 42 ( 5 avg)
% Number of connectives : 515 ( 150 ~; 136 |; 196 &)
% ( 20 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 27 ( 27 usr; 20 con; 0-2 aty)
% Number of variables : 224 (; 169 !; 55 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f259159,plain,
$false,
inference(unit_resulting_resolution,[],[f3072,f259158]) ).
fof(f259158,plain,
~ iext(uri_ex_p2,uri_ex_w,uri_ex_u),
inference(backward_demodulation,[],[f259135,f259143]) ).
fof(f259143,plain,
uri_ex_u = sK77(uri_ex_p1,uri_ex_p2),
inference(unit_resulting_resolution,[],[f3055,f259034,f3214]) ).
fof(f3214,plain,
! [X2,X1,X4] :
( ~ iext(uri_rdf_first,X1,X2)
| X2 = X4
| sP280(X4,X1) ),
inference(cnf_transformation,[],[f3214_D]) ).
fof(f3214_D,plain,
! [X1,X4] :
( ! [X2] :
( ~ iext(uri_rdf_first,X1,X2)
| X2 = X4 )
<=> ~ sP280(X4,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP280])]) ).
fof(f259034,plain,
~ sP280(sK77(uri_ex_p1,uri_ex_p2),sK211),
inference(unit_resulting_resolution,[],[f3063,f3056,f258737,f3215]) ).
fof(f3215,plain,
! [X0,X1,X4] :
( ~ iext(uri_owl_oneOf,X0,X1)
| ~ icext(X0,X4)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ sP280(X4,X1) ),
inference(general_splitting,[],[f2570,f3214_D]) ).
fof(f2570,plain,
! [X2,X0,X1,X4] :
( X2 = X4
| ~ icext(X0,X4)
| ~ iext(uri_owl_oneOf,X0,X1)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(cnf_transformation,[],[f1592]) ).
fof(f1592,plain,
! [X0,X1,X2] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ( ( sK95(X0,X2) != X2
| ~ icext(X0,sK95(X0,X2)) )
& ( sK95(X0,X2) = X2
| icext(X0,sK95(X0,X2)) ) )
| ~ ic(X0) )
& ( ( ! [X4] :
( ( icext(X0,X4)
| X2 != X4 )
& ( X2 = X4
| ~ icext(X0,X4) ) )
& ic(X0) )
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK95])],[f1590,f1591]) ).
fof(f1591,plain,
! [X0,X2] :
( ? [X3] :
( ( X2 != X3
| ~ icext(X0,X3) )
& ( X2 = X3
| icext(X0,X3) ) )
=> ( ( sK95(X0,X2) != X2
| ~ icext(X0,sK95(X0,X2)) )
& ( sK95(X0,X2) = X2
| icext(X0,sK95(X0,X2)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f1590,plain,
! [X0,X1,X2] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ? [X3] :
( ( X2 != X3
| ~ icext(X0,X3) )
& ( X2 = X3
| icext(X0,X3) ) )
| ~ ic(X0) )
& ( ( ! [X4] :
( ( icext(X0,X4)
| X2 != X4 )
& ( X2 = X4
| ~ icext(X0,X4) ) )
& ic(X0) )
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(rectify,[],[f1589]) ).
fof(f1589,plain,
! [X0,X1,X2] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ? [X3] :
( ( X2 != X3
| ~ icext(X0,X3) )
& ( X2 = X3
| icext(X0,X3) ) )
| ~ ic(X0) )
& ( ( ! [X3] :
( ( icext(X0,X3)
| X2 != X3 )
& ( X2 = X3
| ~ icext(X0,X3) ) )
& ic(X0) )
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(flattening,[],[f1588]) ).
fof(f1588,plain,
! [X0,X1,X2] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ? [X3] :
( ( X2 != X3
| ~ icext(X0,X3) )
& ( X2 = X3
| icext(X0,X3) ) )
| ~ ic(X0) )
& ( ( ! [X3] :
( ( icext(X0,X3)
| X2 != X3 )
& ( X2 = X3
| ~ icext(X0,X3) ) )
& ic(X0) )
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(nnf_transformation,[],[f1205]) ).
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/sandbox/tmp/tmp.ezr8ZW67uU/Vampire---4.8_2287',owl_enum_class_001) ).
fof(f258737,plain,
icext(sK213,sK77(uri_ex_p1,uri_ex_p2)),
inference(unit_resulting_resolution,[],[f3054,f258700,f3160]) ).
fof(f3160,plain,
! [X0,X1,X5] :
( ~ iext(uri_rdfs_range,X0,X1)
| icext(X1,X5)
| sP253(X0,X5) ),
inference(cnf_transformation,[],[f3160_D]) ).
fof(f3160_D,plain,
! [X5,X0] :
( ! [X1] :
( ~ iext(uri_rdfs_range,X0,X1)
| icext(X1,X5) )
<=> ~ sP253(X0,X5) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP253])]) ).
fof(f258700,plain,
~ sP253(uri_ex_p1,sK77(uri_ex_p1,uri_ex_p2)),
inference(unit_resulting_resolution,[],[f258500,f3161]) ).
fof(f3161,plain,
! [X0,X4,X5] :
( ~ iext(X0,X4,X5)
| ~ sP253(X0,X5) ),
inference(general_splitting,[],[f2511,f3160_D]) ).
fof(f2511,plain,
! [X0,X1,X4,X5] :
( icext(X1,X5)
| ~ iext(X0,X4,X5)
| ~ iext(uri_rdfs_range,X0,X1) ),
inference(cnf_transformation,[],[f1547]) ).
fof(f1547,plain,
! [X0,X1] :
( ( iext(uri_rdfs_range,X0,X1)
| ( ~ icext(X1,sK82(X0,X1))
& iext(X0,sK81(X0,X1),sK82(X0,X1)) )
| ~ ip(X1)
| ~ ip(X0) )
& ( ( ! [X4,X5] :
( icext(X1,X5)
| ~ iext(X0,X4,X5) )
& ip(X1)
& ip(X0) )
| ~ iext(uri_rdfs_range,X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK81,sK82])],[f1545,f1546]) ).
fof(f1546,plain,
! [X0,X1] :
( ? [X2,X3] :
( ~ icext(X1,X3)
& iext(X0,X2,X3) )
=> ( ~ icext(X1,sK82(X0,X1))
& iext(X0,sK81(X0,X1),sK82(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f1545,plain,
! [X0,X1] :
( ( iext(uri_rdfs_range,X0,X1)
| ? [X2,X3] :
( ~ icext(X1,X3)
& iext(X0,X2,X3) )
| ~ ip(X1)
| ~ ip(X0) )
& ( ( ! [X4,X5] :
( icext(X1,X5)
| ~ iext(X0,X4,X5) )
& ip(X1)
& ip(X0) )
| ~ iext(uri_rdfs_range,X0,X1) ) ),
inference(rectify,[],[f1544]) ).
fof(f1544,plain,
! [X0,X1] :
( ( iext(uri_rdfs_range,X0,X1)
| ? [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) )
| ~ iext(uri_rdfs_range,X0,X1) ) ),
inference(flattening,[],[f1543]) ).
fof(f1543,plain,
! [X0,X1] :
( ( iext(uri_rdfs_range,X0,X1)
| ? [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) )
| ~ iext(uri_rdfs_range,X0,X1) ) ),
inference(nnf_transformation,[],[f1170]) ).
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/sandbox/tmp/tmp.ezr8ZW67uU/Vampire---4.8_2287',owl_rdfsext_range) ).
fof(f258500,plain,
iext(uri_ex_p1,sK76(uri_ex_p1,uri_ex_p2),sK77(uri_ex_p1,uri_ex_p2)),
inference(unit_resulting_resolution,[],[f6299,f6298,f1804,f2497]) ).
fof(f2497,plain,
! [X0,X1] :
( iext(X0,sK76(X0,X1),sK77(X0,X1))
| iext(uri_rdfs_subPropertyOf,X0,X1)
| ~ ip(X1)
| ~ ip(X0) ),
inference(cnf_transformation,[],[f1532]) ).
fof(f1532,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subPropertyOf,X0,X1)
| ( ~ iext(X1,sK76(X0,X1),sK77(X0,X1))
& iext(X0,sK76(X0,X1),sK77(X0,X1)) )
| ~ ip(X1)
| ~ ip(X0) )
& ( ( ! [X4,X5] :
( iext(X1,X4,X5)
| ~ iext(X0,X4,X5) )
& ip(X1)
& ip(X0) )
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK76,sK77])],[f1530,f1531]) ).
fof(f1531,plain,
! [X0,X1] :
( ? [X2,X3] :
( ~ iext(X1,X2,X3)
& iext(X0,X2,X3) )
=> ( ~ iext(X1,sK76(X0,X1),sK77(X0,X1))
& iext(X0,sK76(X0,X1),sK77(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f1530,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subPropertyOf,X0,X1)
| ? [X2,X3] :
( ~ iext(X1,X2,X3)
& iext(X0,X2,X3) )
| ~ ip(X1)
| ~ ip(X0) )
& ( ( ! [X4,X5] :
( iext(X1,X4,X5)
| ~ iext(X0,X4,X5) )
& ip(X1)
& ip(X0) )
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
inference(rectify,[],[f1529]) ).
fof(f1529,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subPropertyOf,X0,X1)
| ? [X2,X3] :
( ~ iext(X1,X2,X3)
& iext(X0,X2,X3) )
| ~ ip(X1)
| ~ ip(X0) )
& ( ( ! [X2,X3] :
( iext(X1,X2,X3)
| ~ iext(X0,X2,X3) )
& ip(X1)
& ip(X0) )
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
inference(flattening,[],[f1528]) ).
fof(f1528,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subPropertyOf,X0,X1)
| ? [X2,X3] :
( ~ iext(X1,X2,X3)
& iext(X0,X2,X3) )
| ~ ip(X1)
| ~ ip(X0) )
& ( ( ! [X2,X3] :
( iext(X1,X2,X3)
| ~ iext(X0,X2,X3) )
& ip(X1)
& ip(X0) )
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
inference(nnf_transformation,[],[f1167]) ).
fof(f1167,plain,
! [X0,X1] :
( iext(uri_rdfs_subPropertyOf,X0,X1)
<=> ( ! [X2,X3] :
( iext(X1,X2,X3)
| ~ iext(X0,X2,X3) )
& ip(X1)
& ip(X0) ) ),
inference(ennf_transformation,[],[f832]) ).
fof(f832,plain,
! [X0,X1] :
( iext(uri_rdfs_subPropertyOf,X0,X1)
<=> ( ! [X2,X3] :
( iext(X0,X2,X3)
=> iext(X1,X2,X3) )
& ip(X1)
& ip(X0) ) ),
inference(rectify,[],[f344]) ).
fof(f344,axiom,
! [X32,X33] :
( iext(uri_rdfs_subPropertyOf,X32,X33)
<=> ( ! [X3,X6] :
( iext(X32,X3,X6)
=> iext(X33,X3,X6) )
& ip(X33)
& ip(X32) ) ),
file('/export/starexec/sandbox/tmp/tmp.ezr8ZW67uU/Vampire---4.8_2287',owl_rdfsext_subpropertyof) ).
fof(f1804,plain,
~ iext(uri_rdfs_subPropertyOf,uri_ex_p1,uri_ex_p2),
inference(cnf_transformation,[],[f562]) ).
fof(f562,plain,
~ iext(uri_rdfs_subPropertyOf,uri_ex_p1,uri_ex_p2),
inference(flattening,[],[f560]) ).
fof(f560,negated_conjecture,
~ iext(uri_rdfs_subPropertyOf,uri_ex_p1,uri_ex_p2),
inference(negated_conjecture,[],[f559]) ).
fof(f559,conjecture,
iext(uri_rdfs_subPropertyOf,uri_ex_p1,uri_ex_p2),
file('/export/starexec/sandbox/tmp/tmp.ezr8ZW67uU/Vampire---4.8_2287',conclusion_rdfbased_sem_rdfsext_subprop_ext) ).
fof(f6298,plain,
ip(uri_ex_p2),
inference(unit_resulting_resolution,[],[f3061,f2504]) ).
fof(f2504,plain,
! [X0,X1] :
( ~ iext(uri_rdfs_domain,X0,X1)
| ip(X0) ),
inference(cnf_transformation,[],[f1542]) ).
fof(f1542,plain,
! [X0,X1] :
( ( iext(uri_rdfs_domain,X0,X1)
| ( ~ icext(X1,sK79(X0,X1))
& iext(X0,sK79(X0,X1),sK80(X0,X1)) )
| ~ ic(X1)
| ~ ip(X0) )
& ( ( ! [X4,X5] :
( icext(X1,X4)
| ~ iext(X0,X4,X5) )
& ic(X1)
& ip(X0) )
| ~ iext(uri_rdfs_domain,X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK79,sK80])],[f1540,f1541]) ).
fof(f1541,plain,
! [X0,X1] :
( ? [X2,X3] :
( ~ icext(X1,X2)
& iext(X0,X2,X3) )
=> ( ~ icext(X1,sK79(X0,X1))
& iext(X0,sK79(X0,X1),sK80(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f1540,plain,
! [X0,X1] :
( ( iext(uri_rdfs_domain,X0,X1)
| ? [X2,X3] :
( ~ icext(X1,X2)
& iext(X0,X2,X3) )
| ~ ic(X1)
| ~ ip(X0) )
& ( ( ! [X4,X5] :
( icext(X1,X4)
| ~ iext(X0,X4,X5) )
& ic(X1)
& ip(X0) )
| ~ iext(uri_rdfs_domain,X0,X1) ) ),
inference(rectify,[],[f1539]) ).
fof(f1539,plain,
! [X0,X1] :
( ( iext(uri_rdfs_domain,X0,X1)
| ? [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) )
| ~ iext(uri_rdfs_domain,X0,X1) ) ),
inference(flattening,[],[f1538]) ).
fof(f1538,plain,
! [X0,X1] :
( ( iext(uri_rdfs_domain,X0,X1)
| ? [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) )
| ~ iext(uri_rdfs_domain,X0,X1) ) ),
inference(nnf_transformation,[],[f1169]) ).
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/sandbox/tmp/tmp.ezr8ZW67uU/Vampire---4.8_2287',owl_rdfsext_domain) ).
fof(f3061,plain,
iext(uri_rdfs_domain,uri_ex_p2,sK212),
inference(cnf_transformation,[],[f1803]) ).
fof(f1803,plain,
( iext(uri_ex_p2,uri_ex_w,uri_ex_w)
& iext(uri_ex_p2,uri_ex_w,uri_ex_u)
& iext(uri_ex_p1,uri_ex_w,uri_ex_u)
& iext(uri_rdf_rest,sK209,uri_rdf_nil)
& iext(uri_rdf_first,sK209,uri_ex_w)
& iext(uri_owl_oneOf,sK212,sK210)
& iext(uri_owl_oneOf,sK214,sK216)
& iext(uri_owl_oneOf,sK217,sK215)
& iext(uri_rdf_rest,sK216,sK209)
& iext(uri_rdf_first,sK216,uri_ex_u)
& iext(uri_owl_oneOf,sK213,sK211)
& iext(uri_rdfs_range,uri_ex_p2,sK214)
& iext(uri_rdfs_domain,uri_ex_p2,sK212)
& iext(uri_rdf_rest,sK210,uri_rdf_nil)
& iext(uri_rdf_first,sK210,uri_ex_w)
& iext(uri_rdf_rest,sK215,uri_rdf_nil)
& iext(uri_rdf_first,sK215,uri_ex_w)
& iext(uri_rdf_rest,sK211,uri_rdf_nil)
& iext(uri_rdf_first,sK211,uri_ex_u)
& iext(uri_rdfs_range,uri_ex_p1,sK213)
& iext(uri_rdfs_domain,uri_ex_p1,sK217) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK209,sK210,sK211,sK212,sK213,sK214,sK215,sK216,sK217])],[f921,f1802]) ).
fof(f1802,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( iext(uri_ex_p2,uri_ex_w,uri_ex_w)
& iext(uri_ex_p2,uri_ex_w,uri_ex_u)
& iext(uri_ex_p1,uri_ex_w,uri_ex_u)
& iext(uri_rdf_rest,X0,uri_rdf_nil)
& iext(uri_rdf_first,X0,uri_ex_w)
& iext(uri_owl_oneOf,X3,X1)
& iext(uri_owl_oneOf,X5,X7)
& iext(uri_owl_oneOf,X8,X6)
& iext(uri_rdf_rest,X7,X0)
& iext(uri_rdf_first,X7,uri_ex_u)
& iext(uri_owl_oneOf,X4,X2)
& iext(uri_rdfs_range,uri_ex_p2,X5)
& iext(uri_rdfs_domain,uri_ex_p2,X3)
& iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_rdf_first,X1,uri_ex_w)
& iext(uri_rdf_rest,X6,uri_rdf_nil)
& iext(uri_rdf_first,X6,uri_ex_w)
& iext(uri_rdf_rest,X2,uri_rdf_nil)
& iext(uri_rdf_first,X2,uri_ex_u)
& iext(uri_rdfs_range,uri_ex_p1,X4)
& iext(uri_rdfs_domain,uri_ex_p1,X8) )
=> ( iext(uri_ex_p2,uri_ex_w,uri_ex_w)
& iext(uri_ex_p2,uri_ex_w,uri_ex_u)
& iext(uri_ex_p1,uri_ex_w,uri_ex_u)
& iext(uri_rdf_rest,sK209,uri_rdf_nil)
& iext(uri_rdf_first,sK209,uri_ex_w)
& iext(uri_owl_oneOf,sK212,sK210)
& iext(uri_owl_oneOf,sK214,sK216)
& iext(uri_owl_oneOf,sK217,sK215)
& iext(uri_rdf_rest,sK216,sK209)
& iext(uri_rdf_first,sK216,uri_ex_u)
& iext(uri_owl_oneOf,sK213,sK211)
& iext(uri_rdfs_range,uri_ex_p2,sK214)
& iext(uri_rdfs_domain,uri_ex_p2,sK212)
& iext(uri_rdf_rest,sK210,uri_rdf_nil)
& iext(uri_rdf_first,sK210,uri_ex_w)
& iext(uri_rdf_rest,sK215,uri_rdf_nil)
& iext(uri_rdf_first,sK215,uri_ex_w)
& iext(uri_rdf_rest,sK211,uri_rdf_nil)
& iext(uri_rdf_first,sK211,uri_ex_u)
& iext(uri_rdfs_range,uri_ex_p1,sK213)
& iext(uri_rdfs_domain,uri_ex_p1,sK217) ) ),
introduced(choice_axiom,[]) ).
fof(f921,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( iext(uri_ex_p2,uri_ex_w,uri_ex_w)
& iext(uri_ex_p2,uri_ex_w,uri_ex_u)
& iext(uri_ex_p1,uri_ex_w,uri_ex_u)
& iext(uri_rdf_rest,X0,uri_rdf_nil)
& iext(uri_rdf_first,X0,uri_ex_w)
& iext(uri_owl_oneOf,X3,X1)
& iext(uri_owl_oneOf,X5,X7)
& iext(uri_owl_oneOf,X8,X6)
& iext(uri_rdf_rest,X7,X0)
& iext(uri_rdf_first,X7,uri_ex_u)
& iext(uri_owl_oneOf,X4,X2)
& iext(uri_rdfs_range,uri_ex_p2,X5)
& iext(uri_rdfs_domain,uri_ex_p2,X3)
& iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_rdf_first,X1,uri_ex_w)
& iext(uri_rdf_rest,X6,uri_rdf_nil)
& iext(uri_rdf_first,X6,uri_ex_w)
& iext(uri_rdf_rest,X2,uri_rdf_nil)
& iext(uri_rdf_first,X2,uri_ex_u)
& iext(uri_rdfs_range,uri_ex_p1,X4)
& iext(uri_rdfs_domain,uri_ex_p1,X8) ),
inference(rectify,[],[f561]) ).
fof(f561,axiom,
? [X41,X42,X37,X43,X36,X44,X45,X46,X47] :
( iext(uri_ex_p2,uri_ex_w,uri_ex_w)
& iext(uri_ex_p2,uri_ex_w,uri_ex_u)
& iext(uri_ex_p1,uri_ex_w,uri_ex_u)
& iext(uri_rdf_rest,X41,uri_rdf_nil)
& iext(uri_rdf_first,X41,uri_ex_w)
& iext(uri_owl_oneOf,X43,X42)
& iext(uri_owl_oneOf,X44,X46)
& iext(uri_owl_oneOf,X47,X45)
& iext(uri_rdf_rest,X46,X41)
& iext(uri_rdf_first,X46,uri_ex_u)
& iext(uri_owl_oneOf,X36,X37)
& iext(uri_rdfs_range,uri_ex_p2,X44)
& iext(uri_rdfs_domain,uri_ex_p2,X43)
& iext(uri_rdf_rest,X42,uri_rdf_nil)
& iext(uri_rdf_first,X42,uri_ex_w)
& iext(uri_rdf_rest,X45,uri_rdf_nil)
& iext(uri_rdf_first,X45,uri_ex_w)
& iext(uri_rdf_rest,X37,uri_rdf_nil)
& iext(uri_rdf_first,X37,uri_ex_u)
& iext(uri_rdfs_range,uri_ex_p1,X36)
& iext(uri_rdfs_domain,uri_ex_p1,X47) ),
file('/export/starexec/sandbox/tmp/tmp.ezr8ZW67uU/Vampire---4.8_2287',premise_rdfbased_sem_rdfsext_subprop_ext) ).
fof(f6299,plain,
ip(uri_ex_p1),
inference(unit_resulting_resolution,[],[f3053,f2504]) ).
fof(f3053,plain,
iext(uri_rdfs_domain,uri_ex_p1,sK217),
inference(cnf_transformation,[],[f1803]) ).
fof(f3054,plain,
iext(uri_rdfs_range,uri_ex_p1,sK213),
inference(cnf_transformation,[],[f1803]) ).
fof(f3056,plain,
iext(uri_rdf_rest,sK211,uri_rdf_nil),
inference(cnf_transformation,[],[f1803]) ).
fof(f3063,plain,
iext(uri_owl_oneOf,sK213,sK211),
inference(cnf_transformation,[],[f1803]) ).
fof(f3055,plain,
iext(uri_rdf_first,sK211,uri_ex_u),
inference(cnf_transformation,[],[f1803]) ).
fof(f259135,plain,
~ iext(uri_ex_p2,uri_ex_w,sK77(uri_ex_p1,uri_ex_p2)),
inference(backward_demodulation,[],[f258779,f259118]) ).
fof(f259118,plain,
uri_ex_w = sK76(uri_ex_p1,uri_ex_p2),
inference(unit_resulting_resolution,[],[f3057,f258911,f3214]) ).
fof(f258911,plain,
~ sP280(sK76(uri_ex_p1,uri_ex_p2),sK215),
inference(unit_resulting_resolution,[],[f3066,f3058,f258735,f3215]) ).
fof(f258735,plain,
icext(sK217,sK76(uri_ex_p1,uri_ex_p2)),
inference(unit_resulting_resolution,[],[f3053,f258699,f3158]) ).
fof(f3158,plain,
! [X0,X1,X4] :
( ~ iext(uri_rdfs_domain,X0,X1)
| icext(X1,X4)
| sP252(X4,X0) ),
inference(cnf_transformation,[],[f3158_D]) ).
fof(f3158_D,plain,
! [X0,X4] :
( ! [X1] :
( ~ iext(uri_rdfs_domain,X0,X1)
| icext(X1,X4) )
<=> ~ sP252(X4,X0) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP252])]) ).
fof(f258699,plain,
~ sP252(sK76(uri_ex_p1,uri_ex_p2),uri_ex_p1),
inference(unit_resulting_resolution,[],[f258500,f3159]) ).
fof(f3159,plain,
! [X0,X4,X5] :
( ~ iext(X0,X4,X5)
| ~ sP252(X4,X0) ),
inference(general_splitting,[],[f2506,f3158_D]) ).
fof(f2506,plain,
! [X0,X1,X4,X5] :
( icext(X1,X4)
| ~ iext(X0,X4,X5)
| ~ iext(uri_rdfs_domain,X0,X1) ),
inference(cnf_transformation,[],[f1542]) ).
fof(f3058,plain,
iext(uri_rdf_rest,sK215,uri_rdf_nil),
inference(cnf_transformation,[],[f1803]) ).
fof(f3066,plain,
iext(uri_owl_oneOf,sK217,sK215),
inference(cnf_transformation,[],[f1803]) ).
fof(f3057,plain,
iext(uri_rdf_first,sK215,uri_ex_w),
inference(cnf_transformation,[],[f1803]) ).
fof(f258779,plain,
~ iext(uri_ex_p2,sK76(uri_ex_p1,uri_ex_p2),sK77(uri_ex_p1,uri_ex_p2)),
inference(unit_resulting_resolution,[],[f6299,f6298,f1804,f2498]) ).
fof(f2498,plain,
! [X0,X1] :
( ~ iext(X1,sK76(X0,X1),sK77(X0,X1))
| iext(uri_rdfs_subPropertyOf,X0,X1)
| ~ ip(X1)
| ~ ip(X0) ),
inference(cnf_transformation,[],[f1532]) ).
fof(f3072,plain,
iext(uri_ex_p2,uri_ex_w,uri_ex_u),
inference(cnf_transformation,[],[f1803]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.16 % Problem : SWB080+1 : TPTP v8.1.2. Released v5.2.0.
% 0.18/0.18 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.18/0.39 % Computer : n017.cluster.edu
% 0.18/0.39 % Model : x86_64 x86_64
% 0.18/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.39 % Memory : 8042.1875MB
% 0.18/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.39 % CPULimit : 300
% 0.18/0.39 % WCLimit : 300
% 0.18/0.39 % DateTime : Sun Aug 27 06:35:26 EDT 2023
% 0.18/0.39 % CPUTime :
% 0.18/0.39 This is a FOF_THM_RFO_SEQ problem
% 0.18/0.40 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.ezr8ZW67uU/Vampire---4.8_2287
% 0.24/0.40 % (2394)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.47 % (2400)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_432 on Vampire---4 for (432ds/0Mi)
% 0.24/0.47 % (2397)lrs+1010_4_aac=none:add=off:afr=on:amm=off:anc=all_dependent:bd=off:cond=on:drc=off:flr=on:fde=none:gs=on:lma=on:nm=16:nwc=1.1:sims=off:sos=all:sac=on:sp=occurrence:stl=188_669 on Vampire---4 for (669ds/0Mi)
% 0.24/0.47 % (2396)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_957 on Vampire---4 for (957ds/0Mi)
% 0.24/0.47 % (2395)lrs-1010_2_av=off:bce=on:cond=on:er=filter:fde=unused:lcm=predicate:nm=2:nwc=3.0:sims=off:sp=frequency:urr=on:stl=188_1064 on Vampire---4 for (1064ds/0Mi)
% 0.24/0.47 % (2401)dis+1011_3:2_av=off:ep=RST:fsd=off:fde=none:gsp=on:nm=2:nwc=2.0:sos=on:sp=reverse_frequency_405 on Vampire---4 for (405ds/0Mi)
% 0.24/0.48 % (2399)lrs+1002_9_av=off:bs=on:bsr=on:bce=on:cond=on:drc=off:er=filter:flr=on:fsd=off:fsr=off:fde=unused:lcm=predicate:nm=2:nwc=1.3:sims=off:stl=62_466 on Vampire---4 for (466ds/0Mi)
% 0.24/0.48 % (2398)dis-1010_4:3_afr=on:amm=off:bsr=on:bce=on:drc=off:fsd=off:fde=unused:gs=on:gsaa=from_current:irw=on:nwc=1.3:nicw=on:sas=z3:tgt=full:urr=ec_only_619 on Vampire---4 for (619ds/0Mi)
% 0.24/0.50 % (2401)Refutation not found, incomplete strategy% (2401)------------------------------
% 0.24/0.50 % (2401)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.24/0.50 % (2401)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.24/0.50 % (2401)Termination reason: Refutation not found, incomplete strategy
% 0.24/0.50
% 0.24/0.50 % (2401)Memory used [KB]: 4093
% 0.24/0.50 % (2401)Time elapsed: 0.030 s
% 0.24/0.50 % (2401)------------------------------
% 0.24/0.50 % (2401)------------------------------
% 0.24/0.54 % (2402)dis-1002_6_acc=on:anc=none:bce=on:cond=fast:drc=off:fsd=off:fde=none:gsp=on:irw=on:sac=on:sp=scramble:tgt=ground:urr=ec_only_401 on Vampire---4 for (401ds/0Mi)
% 16.31/2.76 % (2400)First to succeed.
% 16.31/2.77 % (2400)Refutation found. Thanks to Tanya!
% 16.31/2.77 % SZS status Theorem for Vampire---4
% 16.31/2.77 % SZS output start Proof for Vampire---4
% See solution above
% 16.31/2.77 % (2400)------------------------------
% 16.31/2.77 % (2400)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 16.31/2.77 % (2400)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 16.31/2.77 % (2400)Termination reason: Refutation
% 16.31/2.77
% 16.31/2.77 % (2400)Memory used [KB]: 112961
% 16.31/2.77 % (2400)Time elapsed: 2.291 s
% 16.31/2.77 % (2400)------------------------------
% 16.31/2.77 % (2400)------------------------------
% 16.31/2.77 % (2394)Success in time 2.364 s
% 16.31/2.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------