TSTP Solution File: ITP023+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ITP023+2 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n007.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 : Sun May 5 07:01:54 EDT 2024
% Result : Theorem 21.44s 3.41s
% Output : Refutation 21.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of formulae : 52 ( 12 unt; 0 def)
% Number of atoms : 154 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 180 ( 78 ~; 62 |; 12 &)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 75 ( 69 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f41359,plain,
$false,
inference(subsumption_resolution,[],[f41358,f314]) ).
fof(f314,plain,
mem(sK27,ty_2Erealax_2Ereal),
inference(cnf_transformation,[],[f210]) ).
fof(f210,plain,
( ~ p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),sK26),sK27))))
& mem(sK27,ty_2Erealax_2Ereal)
& mem(sK26,ty_2Erealax_2Ereal) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26,sK27])],[f120,f209,f208]) ).
fof(f208,plain,
( ? [X0] :
( ? [X1] :
( ~ p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X0),X1))))
& mem(X1,ty_2Erealax_2Ereal) )
& mem(X0,ty_2Erealax_2Ereal) )
=> ( ? [X1] :
( ~ p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),sK26),X1))))
& mem(X1,ty_2Erealax_2Ereal) )
& mem(sK26,ty_2Erealax_2Ereal) ) ),
introduced(choice_axiom,[]) ).
fof(f209,plain,
( ? [X1] :
( ~ p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),sK26),X1))))
& mem(X1,ty_2Erealax_2Ereal) )
=> ( ~ p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),sK26),sK27))))
& mem(sK27,ty_2Erealax_2Ereal) ) ),
introduced(choice_axiom,[]) ).
fof(f120,plain,
? [X0] :
( ? [X1] :
( ~ p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X0),X1))))
& mem(X1,ty_2Erealax_2Ereal) )
& mem(X0,ty_2Erealax_2Ereal) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,plain,
~ ! [X0] :
( mem(X0,ty_2Erealax_2Ereal)
=> ! [X1] :
( mem(X1,ty_2Erealax_2Ereal)
=> p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X0),X1)))) ) ),
inference(rectify,[],[f60]) ).
fof(f60,negated_conjecture,
~ ! [X15] :
( mem(X15,ty_2Erealax_2Ereal)
=> ! [X23] :
( mem(X23,ty_2Erealax_2Ereal)
=> p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X15),X23)))) ) ),
inference(negated_conjecture,[],[f59]) ).
fof(f59,conjecture,
! [X15] :
( mem(X15,ty_2Erealax_2Ereal)
=> ! [X23] :
( mem(X23,ty_2Erealax_2Ereal)
=> p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X15),X23)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Ereal__topology_2EBOUNDED__BALL) ).
fof(f41358,plain,
~ mem(sK27,ty_2Erealax_2Ereal),
inference(subsumption_resolution,[],[f41357,f318]) ).
fof(f318,plain,
ne(ty_2Erealax_2Ereal),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
ne(ty_2Erealax_2Ereal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ne_ty_2Erealax_2Ereal) ).
fof(f41357,plain,
( ~ ne(ty_2Erealax_2Ereal)
| ~ mem(sK27,ty_2Erealax_2Ereal) ),
inference(subsumption_resolution,[],[f41356,f313]) ).
fof(f313,plain,
mem(sK26,ty_2Erealax_2Ereal),
inference(cnf_transformation,[],[f210]) ).
fof(f41356,plain,
( ~ mem(sK26,ty_2Erealax_2Ereal)
| ~ ne(ty_2Erealax_2Ereal)
| ~ mem(sK27,ty_2Erealax_2Ereal) ),
inference(duplicate_literal_removal,[],[f41355]) ).
fof(f41355,plain,
( ~ mem(sK26,ty_2Erealax_2Ereal)
| ~ ne(ty_2Erealax_2Ereal)
| ~ mem(sK27,ty_2Erealax_2Ereal)
| ~ ne(ty_2Erealax_2Ereal) ),
inference(resolution,[],[f41310,f3634]) ).
fof(f3634,plain,
! [X2,X3,X0,X1] :
( mem(ap(ap(c_2Epair_2E_2C(X0,X2),X1),X3),ty_2Epair_2Eprod(X0,X2))
| ~ mem(X1,X0)
| ~ ne(X2)
| ~ mem(X3,X2)
| ~ ne(X0) ),
inference(resolution,[],[f846,f529]) ).
fof(f529,plain,
! [X2,X3,X0,X1] :
( ~ mem(X2,arr(X0,X1))
| ~ mem(X3,X0)
| mem(ap(X2,X3),X1) ),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
! [X0,X1,X2] :
( ! [X3] :
( mem(ap(X2,X3),X1)
| ~ mem(X3,X0) )
| ~ mem(X2,arr(X0,X1)) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1,X2] :
( mem(X2,arr(X0,X1))
=> ! [X3] :
( mem(X3,X0)
=> mem(ap(X2,X3),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_tp) ).
fof(f846,plain,
! [X2,X0,X1] :
( mem(ap(c_2Epair_2E_2C(X1,X0),X2),arr(X0,ty_2Epair_2Eprod(X1,X0)))
| ~ ne(X1)
| ~ mem(X2,X1)
| ~ ne(X0) ),
inference(resolution,[],[f338,f529]) ).
fof(f338,plain,
! [X0,X1] :
( mem(c_2Epair_2E_2C(X0,X1),arr(X0,arr(X1,ty_2Epair_2Eprod(X0,X1))))
| ~ ne(X1)
| ~ ne(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ! [X1] :
( mem(c_2Epair_2E_2C(X0,X1),arr(X0,arr(X1,ty_2Epair_2Eprod(X0,X1))))
| ~ ne(X1) )
| ~ ne(X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ne(X0)
=> ! [X1] :
( ne(X1)
=> mem(c_2Epair_2E_2C(X0,X1),arr(X0,arr(X1,ty_2Epair_2Eprod(X0,X1)))) ) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X8] :
( ne(X8)
=> ! [X11] :
( ne(X11)
=> mem(c_2Epair_2E_2C(X8,X11),arr(X8,arr(X11,ty_2Epair_2Eprod(X8,X11)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Epair_2E_2C) ).
fof(f41310,plain,
~ mem(ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),sK26),sK27),ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)),
inference(subsumption_resolution,[],[f41309,f314]) ).
fof(f41309,plain,
( ~ mem(sK27,ty_2Erealax_2Ereal)
| ~ mem(ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),sK26),sK27),ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
inference(subsumption_resolution,[],[f41306,f313]) ).
fof(f41306,plain,
( ~ mem(sK26,ty_2Erealax_2Ereal)
| ~ mem(sK27,ty_2Erealax_2Ereal)
| ~ mem(ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),sK26),sK27),ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
inference(resolution,[],[f15247,f315]) ).
fof(f315,plain,
~ p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),sK26),sK27)))),
inference(cnf_transformation,[],[f210]) ).
fof(f15247,plain,
! [X0,X1] :
( p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X0),X1))))
| ~ mem(X0,ty_2Erealax_2Ereal)
| ~ mem(X1,ty_2Erealax_2Ereal)
| ~ mem(ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X0),X1),ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
inference(subsumption_resolution,[],[f15246,f700]) ).
fof(f700,plain,
! [X0] :
( mem(ap(c_2Ereal__topology_2Eball,X0),arr(ty_2Erealax_2Ereal,bool))
| ~ mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
inference(resolution,[],[f529,f329]) ).
fof(f329,plain,
mem(c_2Ereal__topology_2Eball,arr(ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),arr(ty_2Erealax_2Ereal,bool))),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
mem(c_2Ereal__topology_2Eball,arr(ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),arr(ty_2Erealax_2Ereal,bool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Ereal__topology_2Eball) ).
fof(f15246,plain,
! [X0,X1] :
( ~ mem(X0,ty_2Erealax_2Ereal)
| p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X0),X1))))
| ~ mem(X1,ty_2Erealax_2Ereal)
| ~ mem(ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X0),X1)),arr(ty_2Erealax_2Ereal,bool))
| ~ mem(ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X0),X1),ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
inference(resolution,[],[f2624,f699]) ).
fof(f699,plain,
! [X0] :
( mem(ap(c_2Ereal__topology_2Ecball,X0),arr(ty_2Erealax_2Ereal,bool))
| ~ mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
inference(resolution,[],[f529,f328]) ).
fof(f328,plain,
mem(c_2Ereal__topology_2Ecball,arr(ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),arr(ty_2Erealax_2Ereal,bool))),
inference(cnf_transformation,[],[f18]) ).
fof(f18,axiom,
mem(c_2Ereal__topology_2Ecball,arr(ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),arr(ty_2Erealax_2Ereal,bool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Ereal__topology_2Ecball) ).
fof(f2624,plain,
! [X0,X1] :
( ~ mem(ap(c_2Ereal__topology_2Ecball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X1),X0)),arr(ty_2Erealax_2Ereal,bool))
| ~ mem(X1,ty_2Erealax_2Ereal)
| p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X1),X0))))
| ~ mem(X0,ty_2Erealax_2Ereal)
| ~ mem(ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X1),X0)),arr(ty_2Erealax_2Ereal,bool)) ),
inference(subsumption_resolution,[],[f2623,f353]) ).
fof(f353,plain,
! [X0,X1] :
( p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Ecball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X0),X1))))
| ~ mem(X1,ty_2Erealax_2Ereal)
| ~ mem(X0,ty_2Erealax_2Ereal) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0] :
( ! [X1] :
( p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Ecball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X0),X1))))
| ~ mem(X1,ty_2Erealax_2Ereal) )
| ~ mem(X0,ty_2Erealax_2Ereal) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] :
( mem(X0,ty_2Erealax_2Ereal)
=> ! [X1] :
( mem(X1,ty_2Erealax_2Ereal)
=> p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Ecball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X0),X1)))) ) ),
inference(rectify,[],[f48]) ).
fof(f48,axiom,
! [X15] :
( mem(X15,ty_2Erealax_2Ereal)
=> ! [X23] :
( mem(X23,ty_2Erealax_2Ereal)
=> p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Ecball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X15),X23)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Ereal__topology_2EBOUNDED__CBALL) ).
fof(f2623,plain,
! [X0,X1] :
( ~ mem(X0,ty_2Erealax_2Ereal)
| ~ mem(X1,ty_2Erealax_2Ereal)
| p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X1),X0))))
| ~ p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Ecball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X1),X0))))
| ~ mem(ap(c_2Ereal__topology_2Ecball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X1),X0)),arr(ty_2Erealax_2Ereal,bool))
| ~ mem(ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X1),X0)),arr(ty_2Erealax_2Ereal,bool)) ),
inference(resolution,[],[f354,f526]) ).
fof(f526,plain,
! [X0,X1] :
( ~ p(ap(ap(c_2Epred__set_2ESUBSET(ty_2Erealax_2Ereal),X0),X1))
| p(ap(c_2Ereal__topology_2Ebounded__def,X0))
| ~ p(ap(c_2Ereal__topology_2Ebounded__def,X1))
| ~ mem(X1,arr(ty_2Erealax_2Ereal,bool))
| ~ mem(X0,arr(ty_2Erealax_2Ereal,bool)) ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0] :
( ! [X1] :
( p(ap(c_2Ereal__topology_2Ebounded__def,X0))
| ~ p(ap(ap(c_2Epred__set_2ESUBSET(ty_2Erealax_2Ereal),X0),X1))
| ~ p(ap(c_2Ereal__topology_2Ebounded__def,X1))
| ~ mem(X1,arr(ty_2Erealax_2Ereal,bool)) )
| ~ mem(X0,arr(ty_2Erealax_2Ereal,bool)) ),
inference(flattening,[],[f165]) ).
fof(f165,plain,
! [X0] :
( ! [X1] :
( p(ap(c_2Ereal__topology_2Ebounded__def,X0))
| ~ p(ap(ap(c_2Epred__set_2ESUBSET(ty_2Erealax_2Ereal),X0),X1))
| ~ p(ap(c_2Ereal__topology_2Ebounded__def,X1))
| ~ mem(X1,arr(ty_2Erealax_2Ereal,bool)) )
| ~ mem(X0,arr(ty_2Erealax_2Ereal,bool)) ),
inference(ennf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0] :
( mem(X0,arr(ty_2Erealax_2Ereal,bool))
=> ! [X1] :
( mem(X1,arr(ty_2Erealax_2Ereal,bool))
=> ( ( p(ap(ap(c_2Epred__set_2ESUBSET(ty_2Erealax_2Ereal),X0),X1))
& p(ap(c_2Ereal__topology_2Ebounded__def,X1)) )
=> p(ap(c_2Ereal__topology_2Ebounded__def,X0)) ) ) ),
inference(rectify,[],[f47]) ).
fof(f47,axiom,
! [X24] :
( mem(X24,arr(ty_2Erealax_2Ereal,bool))
=> ! [X25] :
( mem(X25,arr(ty_2Erealax_2Ereal,bool))
=> ( ( p(ap(ap(c_2Epred__set_2ESUBSET(ty_2Erealax_2Ereal),X24),X25))
& p(ap(c_2Ereal__topology_2Ebounded__def,X25)) )
=> p(ap(c_2Ereal__topology_2Ebounded__def,X24)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Ereal__topology_2EBOUNDED__SUBSET) ).
fof(f354,plain,
! [X0,X1] :
( p(ap(ap(c_2Epred__set_2ESUBSET(ty_2Erealax_2Ereal),ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X0),X1))),ap(c_2Ereal__topology_2Ecball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X0),X1))))
| ~ mem(X1,ty_2Erealax_2Ereal)
| ~ mem(X0,ty_2Erealax_2Ereal) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ! [X1] :
( p(ap(ap(c_2Epred__set_2ESUBSET(ty_2Erealax_2Ereal),ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X0),X1))),ap(c_2Ereal__topology_2Ecball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X0),X1))))
| ~ mem(X1,ty_2Erealax_2Ereal) )
| ~ mem(X0,ty_2Erealax_2Ereal) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] :
( mem(X0,ty_2Erealax_2Ereal)
=> ! [X1] :
( mem(X1,ty_2Erealax_2Ereal)
=> p(ap(ap(c_2Epred__set_2ESUBSET(ty_2Erealax_2Ereal),ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X0),X1))),ap(c_2Ereal__topology_2Ecball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X0),X1)))) ) ),
inference(rectify,[],[f46]) ).
fof(f46,axiom,
! [X15] :
( mem(X15,ty_2Erealax_2Ereal)
=> ! [X23] :
( mem(X23,ty_2Erealax_2Ereal)
=> p(ap(ap(c_2Epred__set_2ESUBSET(ty_2Erealax_2Ereal),ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X15),X23))),ap(c_2Ereal__topology_2Ecball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X15),X23)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Ereal__topology_2EBALL__SUBSET__CBALL) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ITP023+2 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.14/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 18:58:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (11846)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.37 % (11848)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.37 % (11849)WARNING: value z3 for option sas not known
% 0.20/0.37 % (11847)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.37 % (11850)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.37 % (11849)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)
% 0.20/0.37 % (11852)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)
% 0.20/0.37 % (11851)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)
% 0.20/0.37 % (11853)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)
% 0.20/0.39 TRYING [1]
% 0.20/0.39 TRYING [2]
% 0.20/0.40 TRYING [3]
% 0.20/0.43 TRYING [4]
% 0.20/0.43 TRYING [1]
% 0.20/0.43 TRYING [2]
% 0.20/0.47 TRYING [3]
% 0.20/0.48 TRYING [5]
% 0.20/0.53 TRYING [4]
% 0.20/0.55 TRYING [6]
% 2.20/0.70 TRYING [7]
% 2.20/0.71 TRYING [1]
% 2.20/0.71 TRYING [2]
% 2.20/0.72 TRYING [3]
% 2.66/0.73 TRYING [4]
% 2.94/0.77 TRYING [5]
% 2.94/0.83 TRYING [6]
% 4.14/0.94 TRYING [5]
% 4.31/0.97 TRYING [7]
% 5.10/1.07 TRYING [8]
% 7.13/1.42 TRYING [8]
% 21.10/3.41 % (11849)First to succeed.
% 21.10/3.41 % (11849)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11846"
% 21.44/3.41 % (11849)Refutation found. Thanks to Tanya!
% 21.44/3.41 % SZS status Theorem for theBenchmark
% 21.44/3.41 % SZS output start Proof for theBenchmark
% See solution above
% 21.44/3.41 % (11849)------------------------------
% 21.44/3.41 % (11849)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 21.44/3.41 % (11849)Termination reason: Refutation
% 21.44/3.41
% 21.44/3.41 % (11849)Memory used [KB]: 27452
% 21.44/3.41 % (11849)Time elapsed: 3.036 s
% 21.44/3.41 % (11849)Instructions burned: 9829 (million)
% 21.44/3.41 % (11846)Success in time 3 s
%------------------------------------------------------------------------------