TSTP Solution File: SWB016+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWB016+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 : 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 : Thu Aug 31 20:13:31 EDT 2023
% Result : Theorem 222.41s 32.18s
% Output : Refutation 222.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 20
% Syntax : Number of formulae : 88 ( 11 unt; 0 def)
% Number of atoms : 376 ( 0 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 455 ( 167 ~; 158 |; 98 &)
% ( 21 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 9 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 159 (; 135 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f167636,plain,
$false,
inference(avatar_sat_refutation,[],[f5738,f19682,f20421,f48740,f165769,f166191,f166194,f166537,f167626]) ).
fof(f167626,plain,
~ spl209_1639,
inference(avatar_contradiction_clause,[],[f167504]) ).
fof(f167504,plain,
( $false
| ~ spl209_1639 ),
inference(resolution,[],[f166536,f1965]) ).
fof(f1965,plain,
iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class),
inference(cnf_transformation,[],[f67]) ).
fof(f67,axiom,
iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class),
file('/export/starexec/sandbox2/tmp/tmp.eR4q0r6RtY/Vampire---4.8_11095',rdfs_subclassof_domain) ).
fof(f166536,plain,
( ! [X19] : ~ iext(uri_rdfs_domain,uri_rdfs_subClassOf,X19)
| ~ spl209_1639 ),
inference(avatar_component_clause,[],[f166535]) ).
fof(f166535,plain,
( spl209_1639
<=> ! [X19] : ~ iext(uri_rdfs_domain,uri_rdfs_subClassOf,X19) ),
introduced(avatar_definition,[new_symbols(naming,[spl209_1639])]) ).
fof(f166537,plain,
( spl209_1639
| spl209_33 ),
inference(avatar_split_clause,[],[f5781,f5733,f166535]) ).
fof(f5733,plain,
( spl209_33
<=> ip(uri_rdfs_subClassOf) ),
introduced(avatar_definition,[new_symbols(naming,[spl209_33])]) ).
fof(f5781,plain,
( ! [X19] : ~ iext(uri_rdfs_domain,uri_rdfs_subClassOf,X19)
| spl209_33 ),
inference(resolution,[],[f5734,f2500]) ).
fof(f2500,plain,
! [X0,X1] :
( ip(X0)
| ~ iext(uri_rdfs_domain,X0,X1) ),
inference(cnf_transformation,[],[f1540]) ).
fof(f1540,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])],[f1538,f1539]) ).
fof(f1539,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(f1538,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,[],[f1537]) ).
fof(f1537,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,[],[f1536]) ).
fof(f1536,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,[],[f1167]) ).
fof(f1167,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,[],[f833]) ).
fof(f833,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/tmp/tmp.eR4q0r6RtY/Vampire---4.8_11095',owl_rdfsext_domain) ).
fof(f5734,plain,
( ~ ip(uri_rdfs_subClassOf)
| spl209_33 ),
inference(avatar_component_clause,[],[f5733]) ).
fof(f166194,plain,
( ~ spl209_297
| ~ spl209_1625
| spl209_1630 ),
inference(avatar_contradiction_clause,[],[f166193]) ).
fof(f166193,plain,
( $false
| ~ spl209_297
| ~ spl209_1625
| spl209_1630 ),
inference(subsumption_resolution,[],[f166192,f165768]) ).
fof(f165768,plain,
( icext(sK76(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK78(sK76(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK77(uri_owl_equivalentClass,uri_rdfs_subClassOf)))
| ~ spl209_1625 ),
inference(avatar_component_clause,[],[f165767]) ).
fof(f165767,plain,
( spl209_1625
<=> icext(sK76(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK78(sK76(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK77(uri_owl_equivalentClass,uri_rdfs_subClassOf))) ),
introduced(avatar_definition,[new_symbols(naming,[spl209_1625])]) ).
fof(f166192,plain,
( ~ icext(sK76(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK78(sK76(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK77(uri_owl_equivalentClass,uri_rdfs_subClassOf)))
| ~ spl209_297
| spl209_1630 ),
inference(forward_literal_rewriting,[],[f166190,f48739]) ).
fof(f48739,plain,
( ! [X0] :
( ~ icext(sK76(uri_owl_equivalentClass,uri_rdfs_subClassOf),X0)
| icext(sK77(uri_owl_equivalentClass,uri_rdfs_subClassOf),X0) )
| ~ spl209_297 ),
inference(avatar_component_clause,[],[f48738]) ).
fof(f48738,plain,
( spl209_297
<=> ! [X0] :
( icext(sK77(uri_owl_equivalentClass,uri_rdfs_subClassOf),X0)
| ~ icext(sK76(uri_owl_equivalentClass,uri_rdfs_subClassOf),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl209_297])]) ).
fof(f166190,plain,
( ~ icext(sK77(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK78(sK76(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK77(uri_owl_equivalentClass,uri_rdfs_subClassOf)))
| spl209_1630 ),
inference(avatar_component_clause,[],[f166189]) ).
fof(f166189,plain,
( spl209_1630
<=> icext(sK77(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK78(sK76(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK77(uri_owl_equivalentClass,uri_rdfs_subClassOf))) ),
introduced(avatar_definition,[new_symbols(naming,[spl209_1630])]) ).
fof(f166191,plain,
( ~ spl209_103
| ~ spl209_106
| ~ spl209_1630 ),
inference(avatar_split_clause,[],[f5431,f166189,f20419,f19680]) ).
fof(f19680,plain,
( spl209_103
<=> ic(sK76(uri_owl_equivalentClass,uri_rdfs_subClassOf)) ),
introduced(avatar_definition,[new_symbols(naming,[spl209_103])]) ).
fof(f20419,plain,
( spl209_106
<=> ic(sK77(uri_owl_equivalentClass,uri_rdfs_subClassOf)) ),
introduced(avatar_definition,[new_symbols(naming,[spl209_106])]) ).
fof(f5431,plain,
( ~ icext(sK77(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK78(sK76(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK77(uri_owl_equivalentClass,uri_rdfs_subClassOf)))
| ~ ic(sK77(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ~ ic(sK76(uri_owl_equivalentClass,uri_rdfs_subClassOf)) ),
inference(resolution,[],[f3136,f2499]) ).
fof(f2499,plain,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
| ~ icext(X1,sK78(X0,X1))
| ~ ic(X1)
| ~ ic(X0) ),
inference(cnf_transformation,[],[f1535]) ).
fof(f1535,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ( ~ icext(X1,sK78(X0,X1))
& icext(X0,sK78(X0,X1)) )
| ~ ic(X1)
| ~ ic(X0) )
& ( ( ! [X3] :
( icext(X1,X3)
| ~ icext(X0,X3) )
& ic(X1)
& ic(X0) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK78])],[f1533,f1534]) ).
fof(f1534,plain,
! [X0,X1] :
( ? [X2] :
( ~ icext(X1,X2)
& icext(X0,X2) )
=> ( ~ icext(X1,sK78(X0,X1))
& icext(X0,sK78(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f1533,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ? [X2] :
( ~ icext(X1,X2)
& icext(X0,X2) )
| ~ ic(X1)
| ~ ic(X0) )
& ( ( ! [X3] :
( icext(X1,X3)
| ~ icext(X0,X3) )
& ic(X1)
& ic(X0) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(rectify,[],[f1532]) ).
fof(f1532,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ? [X2] :
( ~ icext(X1,X2)
& icext(X0,X2) )
| ~ ic(X1)
| ~ ic(X0) )
& ( ( ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) )
& ic(X1)
& ic(X0) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(flattening,[],[f1531]) ).
fof(f1531,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ? [X2] :
( ~ icext(X1,X2)
& icext(X0,X2) )
| ~ ic(X1)
| ~ ic(X0) )
& ( ( ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) )
& ic(X1)
& ic(X0) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(nnf_transformation,[],[f1166]) ).
fof(f1166,plain,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
<=> ( ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) )
& ic(X1)
& ic(X0) ) ),
inference(ennf_transformation,[],[f832]) ).
fof(f832,plain,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
<=> ( ! [X2] :
( icext(X0,X2)
=> icext(X1,X2) )
& ic(X1)
& ic(X0) ) ),
inference(rectify,[],[f343]) ).
fof(f343,axiom,
! [X12,X14] :
( iext(uri_rdfs_subClassOf,X12,X14)
<=> ( ! [X3] :
( icext(X12,X3)
=> icext(X14,X3) )
& ic(X14)
& ic(X12) ) ),
file('/export/starexec/sandbox2/tmp/tmp.eR4q0r6RtY/Vampire---4.8_11095',owl_rdfsext_subclassof) ).
fof(f3136,plain,
~ iext(uri_rdfs_subClassOf,sK76(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK77(uri_owl_equivalentClass,uri_rdfs_subClassOf)),
inference(subsumption_resolution,[],[f3135,f2512]) ).
fof(f2512,plain,
! [X2,X0,X1] :
( ip(X1)
| ~ iext(X1,X0,X2) ),
inference(cnf_transformation,[],[f1169]) ).
fof(f1169,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/tmp/tmp.eR4q0r6RtY/Vampire---4.8_11095',simple_iext_property) ).
fof(f3135,plain,
( ~ iext(uri_rdfs_subClassOf,sK76(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK77(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ~ ip(uri_rdfs_subClassOf) ),
inference(subsumption_resolution,[],[f3115,f1909]) ).
fof(f1909,plain,
ip(uri_owl_equivalentClass),
inference(cnf_transformation,[],[f203]) ).
fof(f203,axiom,
ip(uri_owl_equivalentClass),
file('/export/starexec/sandbox2/tmp/tmp.eR4q0r6RtY/Vampire---4.8_11095',owl_prop_equivalentclass_type) ).
fof(f3115,plain,
( ~ iext(uri_rdfs_subClassOf,sK76(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK77(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ~ ip(uri_rdfs_subClassOf)
| ~ ip(uri_owl_equivalentClass) ),
inference(resolution,[],[f1800,f2494]) ).
fof(f2494,plain,
! [X0,X1] :
( iext(uri_rdfs_subPropertyOf,X0,X1)
| ~ iext(X1,sK76(X0,X1),sK77(X0,X1))
| ~ ip(X1)
| ~ ip(X0) ),
inference(cnf_transformation,[],[f1530]) ).
fof(f1530,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])],[f1528,f1529]) ).
fof(f1529,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(f1528,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,[],[f1527]) ).
fof(f1527,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,[],[f1526]) ).
fof(f1526,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,[],[f1165]) ).
fof(f1165,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,[],[f831]) ).
fof(f831,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/sandbox2/tmp/tmp.eR4q0r6RtY/Vampire---4.8_11095',owl_rdfsext_subpropertyof) ).
fof(f1800,plain,
~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
inference(cnf_transformation,[],[f561]) ).
fof(f561,plain,
~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
inference(flattening,[],[f560]) ).
fof(f560,negated_conjecture,
~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
inference(negated_conjecture,[],[f559]) ).
fof(f559,conjecture,
iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
file('/export/starexec/sandbox2/tmp/tmp.eR4q0r6RtY/Vampire---4.8_11095',testcase_conclusion_fullish_016_Reflective_Tautologies_II) ).
fof(f165769,plain,
( ~ spl209_103
| ~ spl209_106
| spl209_1625 ),
inference(avatar_split_clause,[],[f5430,f165767,f20419,f19680]) ).
fof(f5430,plain,
( icext(sK76(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK78(sK76(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK77(uri_owl_equivalentClass,uri_rdfs_subClassOf)))
| ~ ic(sK77(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ~ ic(sK76(uri_owl_equivalentClass,uri_rdfs_subClassOf)) ),
inference(resolution,[],[f3136,f2498]) ).
fof(f2498,plain,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
| icext(X0,sK78(X0,X1))
| ~ ic(X1)
| ~ ic(X0) ),
inference(cnf_transformation,[],[f1535]) ).
fof(f48740,plain,
( spl209_297
| ~ spl209_34 ),
inference(avatar_split_clause,[],[f19166,f5736,f48738]) ).
fof(f5736,plain,
( spl209_34
<=> iext(uri_owl_equivalentClass,sK76(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK77(uri_owl_equivalentClass,uri_rdfs_subClassOf)) ),
introduced(avatar_definition,[new_symbols(naming,[spl209_34])]) ).
fof(f19166,plain,
( ! [X0] :
( icext(sK77(uri_owl_equivalentClass,uri_rdfs_subClassOf),X0)
| ~ icext(sK76(uri_owl_equivalentClass,uri_rdfs_subClassOf),X0) )
| ~ spl209_34 ),
inference(resolution,[],[f5737,f2486]) ).
fof(f2486,plain,
! [X3,X0,X1] :
( icext(X1,X3)
| ~ icext(X0,X3)
| ~ iext(uri_owl_equivalentClass,X0,X1) ),
inference(cnf_transformation,[],[f1525]) ).
fof(f1525,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ( ( ~ icext(X1,sK75(X0,X1))
| ~ icext(X0,sK75(X0,X1)) )
& ( icext(X1,sK75(X0,X1))
| icext(X0,sK75(X0,X1)) ) )
| ~ ic(X1)
| ~ ic(X0) )
& ( ( ! [X3] :
( ( icext(X0,X3)
| ~ icext(X1,X3) )
& ( icext(X1,X3)
| ~ icext(X0,X3) ) )
& ic(X1)
& ic(X0) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK75])],[f1523,f1524]) ).
fof(f1524,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ( icext(X1,X2)
| icext(X0,X2) ) )
=> ( ( ~ icext(X1,sK75(X0,X1))
| ~ icext(X0,sK75(X0,X1)) )
& ( icext(X1,sK75(X0,X1))
| icext(X0,sK75(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f1523,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ? [X2] :
( ( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ( icext(X1,X2)
| icext(X0,X2) ) )
| ~ ic(X1)
| ~ ic(X0) )
& ( ( ! [X3] :
( ( icext(X0,X3)
| ~ icext(X1,X3) )
& ( icext(X1,X3)
| ~ icext(X0,X3) ) )
& ic(X1)
& ic(X0) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(rectify,[],[f1522]) ).
fof(f1522,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ? [X2] :
( ( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ( icext(X1,X2)
| icext(X0,X2) ) )
| ~ ic(X1)
| ~ ic(X0) )
& ( ( ! [X2] :
( ( icext(X0,X2)
| ~ icext(X1,X2) )
& ( icext(X1,X2)
| ~ icext(X0,X2) ) )
& ic(X1)
& ic(X0) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(flattening,[],[f1521]) ).
fof(f1521,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ? [X2] :
( ( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ( icext(X1,X2)
| icext(X0,X2) ) )
| ~ ic(X1)
| ~ ic(X0) )
& ( ( ! [X2] :
( ( icext(X0,X2)
| ~ icext(X1,X2) )
& ( icext(X1,X2)
| ~ icext(X0,X2) ) )
& ic(X1)
& ic(X0) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(nnf_transformation,[],[f830]) ).
fof(f830,plain,
! [X0,X1] :
( iext(uri_owl_equivalentClass,X0,X1)
<=> ( ! [X2] :
( icext(X0,X2)
<=> icext(X1,X2) )
& ic(X1)
& ic(X0) ) ),
inference(rectify,[],[f351]) ).
fof(f351,axiom,
! [X12,X14] :
( iext(uri_owl_equivalentClass,X12,X14)
<=> ( ! [X3] :
( icext(X12,X3)
<=> icext(X14,X3) )
& ic(X14)
& ic(X12) ) ),
file('/export/starexec/sandbox2/tmp/tmp.eR4q0r6RtY/Vampire---4.8_11095',owl_eqdis_equivalentclass) ).
fof(f5737,plain,
( iext(uri_owl_equivalentClass,sK76(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK77(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ~ spl209_34 ),
inference(avatar_component_clause,[],[f5736]) ).
fof(f20421,plain,
( spl209_106
| ~ spl209_34 ),
inference(avatar_split_clause,[],[f19165,f5736,f20419]) ).
fof(f19165,plain,
( ic(sK77(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ~ spl209_34 ),
inference(resolution,[],[f5737,f2485]) ).
fof(f2485,plain,
! [X0,X1] :
( ic(X1)
| ~ iext(uri_owl_equivalentClass,X0,X1) ),
inference(cnf_transformation,[],[f1525]) ).
fof(f19682,plain,
( spl209_103
| ~ spl209_34 ),
inference(avatar_split_clause,[],[f19164,f5736,f19680]) ).
fof(f19164,plain,
( ic(sK76(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ~ spl209_34 ),
inference(resolution,[],[f5737,f2484]) ).
fof(f2484,plain,
! [X0,X1] :
( ic(X0)
| ~ iext(uri_owl_equivalentClass,X0,X1) ),
inference(cnf_transformation,[],[f1525]) ).
fof(f5738,plain,
( ~ spl209_33
| spl209_34 ),
inference(avatar_split_clause,[],[f3134,f5736,f5733]) ).
fof(f3134,plain,
( iext(uri_owl_equivalentClass,sK76(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK77(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ~ ip(uri_rdfs_subClassOf) ),
inference(subsumption_resolution,[],[f3114,f1909]) ).
fof(f3114,plain,
( iext(uri_owl_equivalentClass,sK76(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK77(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ~ ip(uri_rdfs_subClassOf)
| ~ ip(uri_owl_equivalentClass) ),
inference(resolution,[],[f1800,f2493]) ).
fof(f2493,plain,
! [X0,X1] :
( iext(uri_rdfs_subPropertyOf,X0,X1)
| iext(X0,sK76(X0,X1),sK77(X0,X1))
| ~ ip(X1)
| ~ ip(X0) ),
inference(cnf_transformation,[],[f1530]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.17 % Problem : SWB016+1 : TPTP v8.1.2. Released v5.2.0.
% 0.12/0.19 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.19/0.40 % Computer : n020.cluster.edu
% 0.19/0.40 % Model : x86_64 x86_64
% 0.19/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.40 % Memory : 8042.1875MB
% 0.19/0.40 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.40 % CPULimit : 300
% 0.19/0.40 % WCLimit : 300
% 0.19/0.40 % DateTime : Sun Aug 27 07:22:15 EDT 2023
% 0.19/0.40 % CPUTime :
% 0.19/0.41 This is a FOF_THM_RFO_SEQ problem
% 0.19/0.41 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.eR4q0r6RtY/Vampire---4.8_11095
% 0.26/0.41 % (11220)Running in auto input_syntax mode. Trying TPTP
% 0.26/0.49 % (11226)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)
% 0.26/0.49 % (11223)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)
% 0.26/0.49 % (11225)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)
% 0.26/0.49 % (11224)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)
% 0.26/0.49 % (11227)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)
% 0.26/0.49 % (11222)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)
% 0.26/0.49 % (11221)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)
% 0.26/0.52 % (11227)Refutation not found, incomplete strategy% (11227)------------------------------
% 0.26/0.52 % (11227)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.26/0.52 % (11227)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.26/0.52 % (11227)Termination reason: Refutation not found, incomplete strategy
% 0.26/0.52
% 0.26/0.52 % (11227)Memory used [KB]: 4093
% 0.26/0.52 % (11227)Time elapsed: 0.036 s
% 0.26/0.52 % (11227)------------------------------
% 0.26/0.52 % (11227)------------------------------
% 0.26/0.56 % (11228)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)
% 222.41/32.17 % (11223)First to succeed.
% 222.41/32.18 % (11223)Refutation found. Thanks to Tanya!
% 222.41/32.18 % SZS status Theorem for Vampire---4
% 222.41/32.18 % SZS output start Proof for Vampire---4
% See solution above
% 222.41/32.18 % (11223)------------------------------
% 222.41/32.18 % (11223)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 222.41/32.18 % (11223)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 222.41/32.18 % (11223)Termination reason: Refutation
% 222.41/32.18
% 222.41/32.18 % (11223)Memory used [KB]: 125882
% 222.41/32.18 % (11223)Time elapsed: 31.678 s
% 222.41/32.18 % (11223)------------------------------
% 222.41/32.18 % (11223)------------------------------
% 222.41/32.18 % (11220)Success in time 31.6 s
% 222.41/32.18 % Vampire---4.8 exiting
%------------------------------------------------------------------------------