TSTP Solution File: ITP023_2 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ITP023_2 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n026.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 : Fri May 3 02:29:22 EDT 2024
% Result : Theorem 0.47s 1.13s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 10
% Syntax : Number of formulae : 55 ( 33 unt; 0 typ; 0 def)
% Number of atoms : 426 ( 0 equ)
% Maximal formula atoms : 5 ( 7 avg)
% Number of connectives : 104 ( 52 ~; 41 |; 2 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 319 ( 319 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 18 ( 17 usr; 10 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 87 ( 3 sgn 49 !; 4 ?; 41 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,axiom,
! [X0: del,X1: del,X2] :
( mem(X2,arr(X0,X1))
=> ! [X3] :
( mem(X3,X0)
=> mem(ap(X2,X3),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_tp) ).
tff(f15,axiom,
! [X3: tp__ty_2Erealax_2Ereal] : mem(inj__ty_2Erealax_2Ereal(X3),ty_2Erealax_2Ereal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stp_inj_mem_ty_2Erealax_2Ereal) ).
tff(f20,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) ).
tff(f23,axiom,
! [X8: del,X11: del] : 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) ).
tff(f24,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) ).
tff(f58,axiom,
! [X15: tp__ty_2Erealax_2Ereal,X23: tp__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),inj__ty_2Erealax_2Ereal(X15)),inj__ty_2Erealax_2Ereal(X23)))),ap(c_2Ereal__topology_2Ecball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(X15)),inj__ty_2Erealax_2Ereal(X23))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Ereal__topology_2EBALL__SUBSET__CBALL) ).
tff(f59,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) ).
tff(f60,axiom,
! [X15: tp__ty_2Erealax_2Ereal,X23: tp__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),inj__ty_2Erealax_2Ereal(X15)),inj__ty_2Erealax_2Ereal(X23))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Ereal__topology_2EBOUNDED__CBALL) ).
tff(f71,conjecture,
! [X15: tp__ty_2Erealax_2Ereal,X23: tp__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),inj__ty_2Erealax_2Ereal(X15)),inj__ty_2Erealax_2Ereal(X23))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Ereal__topology_2EBOUNDED__BALL) ).
tff(f72,negated_conjecture,
~ ! [X15: tp__ty_2Erealax_2Ereal,X23: tp__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),inj__ty_2Erealax_2Ereal(X15)),inj__ty_2Erealax_2Ereal(X23))))),
inference(negated_conjecture,[],[f71]) ).
tff(f83,plain,
! [X0: tp__ty_2Erealax_2Ereal] : mem(inj__ty_2Erealax_2Ereal(X0),ty_2Erealax_2Ereal),
inference(rectify,[],[f15]) ).
tff(f90,plain,
! [X0: del,X1: del] : mem(c_2Epair_2E_2C(X0,X1),arr(X0,arr(X1,ty_2Epair_2Eprod(X0,X1)))),
inference(rectify,[],[f23]) ).
tff(f124,plain,
! [X0: tp__ty_2Erealax_2Ereal,X1: tp__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),inj__ty_2Erealax_2Ereal(X0)),inj__ty_2Erealax_2Ereal(X1)))),ap(c_2Ereal__topology_2Ecball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(X0)),inj__ty_2Erealax_2Ereal(X1))))),
inference(rectify,[],[f58]) ).
tff(f125,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,[],[f59]) ).
tff(f126,plain,
! [X0: tp__ty_2Erealax_2Ereal,X1: tp__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),inj__ty_2Erealax_2Ereal(X0)),inj__ty_2Erealax_2Ereal(X1))))),
inference(rectify,[],[f60]) ).
tff(f145,plain,
~ ! [X0: tp__ty_2Erealax_2Ereal,X1: tp__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),inj__ty_2Erealax_2Ereal(X0)),inj__ty_2Erealax_2Ereal(X1))))),
inference(rectify,[],[f72]) ).
tff(f146,plain,
! [X0: del,X1: del,X2] :
( ! [X3] :
( mem(ap(X2,X3),X1)
| ~ mem(X3,X0) )
| ~ mem(X2,arr(X0,X1)) ),
inference(ennf_transformation,[],[f1]) ).
tff(f171,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,[],[f125]) ).
tff(f172,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,[],[f171]) ).
tff(f178,plain,
? [X0: tp__ty_2Erealax_2Ereal,X1: tp__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),inj__ty_2Erealax_2Ereal(X0)),inj__ty_2Erealax_2Ereal(X1))))),
inference(ennf_transformation,[],[f145]) ).
tff(f277,plain,
( ? [X0: tp__ty_2Erealax_2Ereal,X1: tp__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),inj__ty_2Erealax_2Ereal(X0)),inj__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),inj__ty_2Erealax_2Ereal(sK16)),inj__ty_2Erealax_2Ereal(sK17))))) ),
introduced(choice_axiom,[]) ).
tff(f278,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),inj__ty_2Erealax_2Ereal(sK16)),inj__ty_2Erealax_2Ereal(sK17))))),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17])],[f178,f277]) ).
tff(f279,plain,
! [X2: $i,X3: $i,X0: del,X1: del] :
( mem(ap(X2,X3),X1)
| ~ mem(X3,X0)
| ~ mem(X2,arr(X0,X1)) ),
inference(cnf_transformation,[],[f146]) ).
tff(f297,plain,
! [X0: tp__ty_2Erealax_2Ereal] : mem(inj__ty_2Erealax_2Ereal(X0),ty_2Erealax_2Ereal),
inference(cnf_transformation,[],[f83]) ).
tff(f302,plain,
mem(c_2Ereal__topology_2Eball,arr(ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),arr(ty_2Erealax_2Ereal,bool))),
inference(cnf_transformation,[],[f20]) ).
tff(f305,plain,
! [X0: del,X1: del] : mem(c_2Epair_2E_2C(X0,X1),arr(X0,arr(X1,ty_2Epair_2Eprod(X0,X1)))),
inference(cnf_transformation,[],[f90]) ).
tff(f306,plain,
mem(c_2Ereal__topology_2Ecball,arr(ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),arr(ty_2Erealax_2Ereal,bool))),
inference(cnf_transformation,[],[f24]) ).
tff(f387,plain,
! [X0: tp__ty_2Erealax_2Ereal,X1: tp__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),inj__ty_2Erealax_2Ereal(X0)),inj__ty_2Erealax_2Ereal(X1)))),ap(c_2Ereal__topology_2Ecball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(X0)),inj__ty_2Erealax_2Ereal(X1))))),
inference(cnf_transformation,[],[f124]) ).
tff(f388,plain,
! [X0: $i,X1: $i] :
( 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(cnf_transformation,[],[f172]) ).
tff(f389,plain,
! [X0: tp__ty_2Erealax_2Ereal,X1: tp__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),inj__ty_2Erealax_2Ereal(X0)),inj__ty_2Erealax_2Ereal(X1))))),
inference(cnf_transformation,[],[f126]) ).
tff(f490,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),inj__ty_2Erealax_2Ereal(sK16)),inj__ty_2Erealax_2Ereal(sK17))))),
inference(cnf_transformation,[],[f278]) ).
cnf(c_49,plain,
( ~ mem(X0,arr(X0_13,X1_13))
| ~ mem(X1,X0_13)
| mem(ap(X0,X1),X1_13) ),
inference(cnf_transformation,[],[f279]) ).
cnf(c_67,plain,
mem(inj__ty_2Erealax_2Ereal(X0_15),ty_2Erealax_2Ereal),
inference(cnf_transformation,[],[f297]) ).
cnf(c_72,plain,
mem(c_2Ereal__topology_2Eball,arr(ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),arr(ty_2Erealax_2Ereal,bool))),
inference(cnf_transformation,[],[f302]) ).
cnf(c_75,plain,
mem(c_2Epair_2E_2C(X0_13,X1_13),arr(X0_13,arr(X1_13,ty_2Epair_2Eprod(X0_13,X1_13)))),
inference(cnf_transformation,[],[f305]) ).
cnf(c_76,plain,
mem(c_2Ereal__topology_2Ecball,arr(ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),arr(ty_2Erealax_2Ereal,bool))),
inference(cnf_transformation,[],[f306]) ).
cnf(c_122,plain,
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),inj__ty_2Erealax_2Ereal(X0_15)),inj__ty_2Erealax_2Ereal(X1_15)))),ap(c_2Ereal__topology_2Ecball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(X0_15)),inj__ty_2Erealax_2Ereal(X1_15))))),
inference(cnf_transformation,[],[f387]) ).
cnf(c_123,plain,
( ~ p(ap(ap(c_2Epred__set_2ESUBSET(ty_2Erealax_2Ereal),X0),X1))
| ~ mem(X0,arr(ty_2Erealax_2Ereal,bool))
| ~ mem(X1,arr(ty_2Erealax_2Ereal,bool))
| ~ p(ap(c_2Ereal__topology_2Ebounded__def,X1))
| p(ap(c_2Ereal__topology_2Ebounded__def,X0)) ),
inference(cnf_transformation,[],[f388]) ).
cnf(c_124,plain,
p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Ecball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(X0_15)),inj__ty_2Erealax_2Ereal(X1_15))))),
inference(cnf_transformation,[],[f389]) ).
cnf(c_211,negated_conjecture,
~ p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(sK16)),inj__ty_2Erealax_2Ereal(sK17))))),
inference(cnf_transformation,[],[f490]) ).
cnf(c_212,plain,
mem(inj__ty_2Erealax_2Ereal(sK16),ty_2Erealax_2Ereal),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_3439,plain,
( ~ mem(ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(X0_15)),inj__ty_2Erealax_2Ereal(X1_15))),arr(ty_2Erealax_2Ereal,bool))
| ~ mem(ap(c_2Ereal__topology_2Ecball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(X0_15)),inj__ty_2Erealax_2Ereal(X1_15))),arr(ty_2Erealax_2Ereal,bool))
| ~ p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Ecball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(X0_15)),inj__ty_2Erealax_2Ereal(X1_15)))))
| p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(X0_15)),inj__ty_2Erealax_2Ereal(X1_15))))) ),
inference(superposition,[status(thm)],[c_122,c_123]) ).
cnf(c_3453,plain,
( ~ mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
| mem(ap(c_2Ereal__topology_2Eball,X0),arr(ty_2Erealax_2Ereal,bool)) ),
inference(superposition,[status(thm)],[c_72,c_49]) ).
cnf(c_3455,plain,
( ~ mem(X0,X0_13)
| mem(ap(c_2Epair_2E_2C(X0_13,X1_13),X0),arr(X1_13,ty_2Epair_2Eprod(X0_13,X1_13))) ),
inference(superposition,[status(thm)],[c_75,c_49]) ).
cnf(c_3456,plain,
( ~ mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
| mem(ap(c_2Ereal__topology_2Ecball,X0),arr(ty_2Erealax_2Ereal,bool)) ),
inference(superposition,[status(thm)],[c_76,c_49]) ).
cnf(c_3473,plain,
( ~ mem(ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(X0_15)),inj__ty_2Erealax_2Ereal(X1_15))),arr(ty_2Erealax_2Ereal,bool))
| ~ mem(ap(c_2Ereal__topology_2Ecball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(X0_15)),inj__ty_2Erealax_2Ereal(X1_15))),arr(ty_2Erealax_2Ereal,bool))
| ~ p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Ecball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(X0_15)),inj__ty_2Erealax_2Ereal(X1_15)))))
| p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(X0_15)),inj__ty_2Erealax_2Ereal(X1_15))))) ),
inference(superposition,[status(thm)],[c_122,c_123]) ).
cnf(c_3498,plain,
( ~ mem(X0,X0_13)
| ~ mem(X1,X1_13)
| mem(ap(ap(c_2Epair_2E_2C(X0_13,X1_13),X0),X1),ty_2Epair_2Eprod(X0_13,X1_13)) ),
inference(superposition,[status(thm)],[c_3455,c_49]) ).
cnf(c_3506,plain,
( ~ mem(ap(c_2Ereal__topology_2Ecball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(X0_15)),inj__ty_2Erealax_2Ereal(X1_15))),arr(ty_2Erealax_2Ereal,bool))
| ~ mem(ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(X0_15)),inj__ty_2Erealax_2Ereal(X1_15))),arr(ty_2Erealax_2Ereal,bool))
| p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(X0_15)),inj__ty_2Erealax_2Ereal(X1_15))))) ),
inference(global_subsumption_just,[status(thm)],[c_3473,c_124,c_3439]) ).
cnf(c_3507,plain,
( ~ mem(ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(X0_15)),inj__ty_2Erealax_2Ereal(X1_15))),arr(ty_2Erealax_2Ereal,bool))
| ~ mem(ap(c_2Ereal__topology_2Ecball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(X0_15)),inj__ty_2Erealax_2Ereal(X1_15))),arr(ty_2Erealax_2Ereal,bool))
| p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(X0_15)),inj__ty_2Erealax_2Ereal(X1_15))))) ),
inference(renaming,[status(thm)],[c_3506]) ).
cnf(c_3514,plain,
( ~ mem(ap(c_2Ereal__topology_2Ecball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(X0_15)),inj__ty_2Erealax_2Ereal(X1_15))),arr(ty_2Erealax_2Ereal,bool))
| ~ mem(ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(X0_15)),inj__ty_2Erealax_2Ereal(X1_15)),ty_2Epair_2Eprod(ty_2Erealax_2Ereal,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),inj__ty_2Erealax_2Ereal(X0_15)),inj__ty_2Erealax_2Ereal(X1_15))))) ),
inference(superposition,[status(thm)],[c_3453,c_3507]) ).
cnf(c_3563,plain,
( ~ mem(ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(X0_15)),inj__ty_2Erealax_2Ereal(X1_15)),ty_2Epair_2Eprod(ty_2Erealax_2Ereal,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),inj__ty_2Erealax_2Ereal(X0_15)),inj__ty_2Erealax_2Ereal(X1_15))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3514,c_3456]) ).
cnf(c_3566,plain,
~ mem(ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(sK16)),inj__ty_2Erealax_2Ereal(sK17)),ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)),
inference(superposition,[status(thm)],[c_3563,c_211]) ).
cnf(c_3573,plain,
( ~ mem(inj__ty_2Erealax_2Ereal(sK16),ty_2Erealax_2Ereal)
| ~ mem(inj__ty_2Erealax_2Ereal(sK17),ty_2Erealax_2Ereal) ),
inference(superposition,[status(thm)],[c_3498,c_3566]) ).
cnf(c_3574,plain,
~ mem(inj__ty_2Erealax_2Ereal(sK17),ty_2Erealax_2Ereal),
inference(global_subsumption_just,[status(thm)],[c_3573,c_212,c_3573]) ).
cnf(c_3576,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3574,c_67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ITP023_2 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.06/0.12 % Command : run_iprover %s %d THM
% 0.12/0.32 % Computer : n026.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Thu May 2 22:20:36 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.45 Running first-order theorem proving
% 0.19/0.45 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.47/1.13 % SZS status Started for theBenchmark.p
% 0.47/1.13 % SZS status Theorem for theBenchmark.p
% 0.47/1.13
% 0.47/1.13 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.47/1.13
% 0.47/1.13 ------ iProver source info
% 0.47/1.13
% 0.47/1.13 git: date: 2024-05-02 19:28:25 +0000
% 0.47/1.13 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.47/1.13 git: non_committed_changes: false
% 0.47/1.13
% 0.47/1.13 ------ Parsing...
% 0.47/1.13 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.47/1.13
% 0.47/1.13 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 0.47/1.13
% 0.47/1.13 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.47/1.13
% 0.47/1.13 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.47/1.13 ------ Proving...
% 0.47/1.13 ------ Problem Properties
% 0.47/1.13
% 0.47/1.13
% 0.47/1.13 clauses 67
% 0.47/1.13 conjectures 1
% 0.47/1.13 EPR 6
% 0.47/1.13 Horn 59
% 0.47/1.13 unary 33
% 0.47/1.13 binary 6
% 0.47/1.13 lits 156
% 0.47/1.13 lits eq 22
% 0.47/1.13 fd_pure 0
% 0.47/1.13 fd_pseudo 0
% 0.47/1.13 fd_cond 0
% 0.47/1.13 fd_pseudo_cond 5
% 0.47/1.13 AC symbols 0
% 0.47/1.13
% 0.47/1.13 ------ Input Options Time Limit: Unbounded
% 0.47/1.13
% 0.47/1.13
% 0.47/1.13 ------
% 0.47/1.13 Current options:
% 0.47/1.13 ------
% 0.47/1.13
% 0.47/1.13
% 0.47/1.13
% 0.47/1.13
% 0.47/1.13 ------ Proving...
% 0.47/1.13
% 0.47/1.13
% 0.47/1.13 ------ Proving...
% 0.47/1.13
% 0.47/1.13
% 0.47/1.13 % SZS status Theorem for theBenchmark.p
% 0.47/1.13
% 0.47/1.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.47/1.13
% 0.47/1.14
%------------------------------------------------------------------------------