TSTP Solution File: ITP023_2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ITP023_2 : TPTP v8.2.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n021.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 : Mon May 20 22:47:19 EDT 2024
% Result : Theorem 95.62s 14.03s
% Output : Refutation 95.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 64
% Syntax : Number of formulae : 97 ( 25 unt; 54 typ; 0 def)
% Number of atoms : 280 ( 0 equ)
% Maximal formula atoms : 5 ( 6 avg)
% Number of connectives : 81 ( 40 ~; 30 |; 2 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of FOOLs : 196 ( 196 fml; 0 var)
% Number of types : 6 ( 4 usr)
% Number of type conns : 89 ( 43 >; 46 *; 0 +; 0 <<)
% Number of predicates : 23 ( 22 usr; 4 prp; 0-3 aty)
% Number of functors : 33 ( 33 usr; 7 con; 0-3 aty)
% Number of variables : 70 ( 66 !; 4 ?; 58 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
del: $tType ).
tff(type_def_6,type,
tp__o: $tType ).
tff(type_def_7,type,
tp__ty_2Erealax_2Ereal: $tType ).
tff(type_def_8,type,
tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal: $tType ).
tff(func_def_0,type,
bool: del ).
tff(func_def_1,type,
ind: del ).
tff(func_def_2,type,
arr: ( del * del ) > del ).
tff(func_def_4,type,
k: ( del * $i ) > $i ).
tff(func_def_5,type,
i: del > $i ).
tff(func_def_6,type,
inj__o: tp__o > $i ).
tff(func_def_7,type,
surj__o: $i > tp__o ).
tff(func_def_9,type,
fo__c_2Ebool_2ET: tp__o ).
tff(func_def_10,type,
c_2Ebool_2E_3F: del > $i ).
tff(func_def_11,type,
ty_2Erealax_2Ereal: del ).
tff(func_def_12,type,
inj__ty_2Erealax_2Ereal: tp__ty_2Erealax_2Ereal > $i ).
tff(func_def_13,type,
surj__ty_2Erealax_2Ereal: $i > tp__ty_2Erealax_2Ereal ).
tff(func_def_14,type,
ty_2Epair_2Eprod: ( del * del ) > del ).
tff(func_def_15,type,
inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal: tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal > $i ).
tff(func_def_16,type,
surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal: $i > tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal ).
tff(func_def_18,type,
fo__c_2Ereal__topology_2Eball: ( tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal * tp__ty_2Erealax_2Ereal ) > tp__o ).
tff(func_def_19,type,
c_2Epred__set_2ESUBSET: del > $i ).
tff(func_def_20,type,
c_2Epair_2E_2C: ( del * del ) > $i ).
tff(func_def_22,type,
fo__c_2Ereal__topology_2Ecball: ( tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal * tp__ty_2Erealax_2Ereal ) > tp__o ).
tff(func_def_25,type,
fo__c_2Ebool_2EF: tp__o ).
tff(func_def_27,type,
fo__c_2Emin_2E_3D_3D_3E: ( tp__o * tp__o ) > tp__o ).
tff(func_def_29,type,
fo__c_2Ebool_2E_5C_2F: ( tp__o * tp__o ) > tp__o ).
tff(func_def_31,type,
fo__c_2Ebool_2E_2F_5C: ( tp__o * tp__o ) > tp__o ).
tff(func_def_33,type,
fo__c_2Ebool_2E_7E: tp__o > tp__o ).
tff(func_def_34,type,
c_2Emin_2E_3D: del > $i ).
tff(func_def_35,type,
c_2Ebool_2E_21: del > $i ).
tff(func_def_36,type,
sK16: tp__ty_2Erealax_2Ereal ).
tff(func_def_37,type,
sK17: tp__ty_2Erealax_2Ereal ).
tff(func_def_38,type,
sK18: ( del * $i ) > $i ).
tff(func_def_39,type,
sK19: ( del * $i ) > $i ).
tff(func_def_40,type,
sK20: ( del * $i ) > $i ).
tff(func_def_41,type,
sK21: ( del * $i ) > $i ).
tff(func_def_42,type,
sK22: ( del * $i * $i ) > $i ).
tff(pred_def_1,type,
mem: ( $i * del ) > $o ).
tff(pred_def_3,type,
sP0: ( tp__o * tp__o ) > $o ).
tff(pred_def_4,type,
sP1: ( tp__o * tp__o ) > $o ).
tff(pred_def_5,type,
sP2: ( tp__o * tp__o * tp__o ) > $o ).
tff(pred_def_6,type,
sP3: ( tp__o * tp__o * tp__o ) > $o ).
tff(pred_def_7,type,
sP4: ( tp__o * tp__o * tp__o ) > $o ).
tff(pred_def_8,type,
sP5: ( tp__o * tp__o * tp__o ) > $o ).
tff(pred_def_9,type,
sP6: ( tp__o * tp__o * tp__o ) > $o ).
tff(pred_def_10,type,
sP7: ( tp__o * tp__o * tp__o ) > $o ).
tff(pred_def_11,type,
sP8: ( tp__o * tp__o * tp__o ) > $o ).
tff(pred_def_12,type,
sP9: ( tp__o * tp__o * tp__o ) > $o ).
tff(pred_def_13,type,
sP10: ( tp__o * tp__o * tp__o ) > $o ).
tff(pred_def_14,type,
sP11: ( tp__o * tp__o * tp__o ) > $o ).
tff(pred_def_15,type,
sP12: ( tp__o * tp__o * tp__o ) > $o ).
tff(pred_def_16,type,
sP13: ( tp__o * tp__o * tp__o ) > $o ).
tff(pred_def_17,type,
sP14: ( tp__o * tp__o * tp__o ) > $o ).
tff(pred_def_18,type,
sP15: ( tp__o * tp__o * tp__o ) > $o ).
tff(f290854,plain,
$false,
inference(subsumption_resolution,[],[f290853,f310]) ).
tff(f310,plain,
! [X0: tp__ty_2Erealax_2Ereal] : mem(inj__ty_2Erealax_2Ereal(X0),ty_2Erealax_2Ereal),
inference(cnf_transformation,[],[f76]) ).
tff(f76,plain,
! [X0: tp__ty_2Erealax_2Ereal] : mem(inj__ty_2Erealax_2Ereal(X0),ty_2Erealax_2Ereal),
inference(rectify,[],[f15]) ).
tff(f15,axiom,
! [X3: tp__ty_2Erealax_2Ereal] : mem(inj__ty_2Erealax_2Ereal(X3),ty_2Erealax_2Ereal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stp_inj_mem_ty_2Erealax_2Ereal) ).
tff(f290853,plain,
~ mem(inj__ty_2Erealax_2Ereal(sK16),ty_2Erealax_2Ereal),
inference(subsumption_resolution,[],[f290852,f310]) ).
tff(f290852,plain,
( ~ mem(inj__ty_2Erealax_2Ereal(sK17),ty_2Erealax_2Ereal)
| ~ mem(inj__ty_2Erealax_2Ereal(sK16),ty_2Erealax_2Ereal) ),
inference(resolution,[],[f278267,f22866]) ).
tff(f22866,plain,
! [X2: $i,X3: del,X0: $i,X1: del] :
( mem(ap(ap(c_2Epair_2E_2C(X1,X3),X0),X2),ty_2Epair_2Eprod(X1,X3))
| ~ mem(X2,X3)
| ~ mem(X0,X1) ),
inference(resolution,[],[f1213,f417]) ).
tff(f417,plain,
! [X2: $i,X3: $i,X0: del,X1: del] :
( ~ mem(X2,arr(X0,X1))
| ~ mem(X3,X0)
| mem(ap(X2,X3),X1) ),
inference(cnf_transformation,[],[f175]) ).
tff(f175,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(f1,axiom,
! [X0: del,X1: del,X2] :
( mem(X2,arr(X0,X1))
=> ! [X3] :
( mem(X3,X0)
=> mem(ap(X2,X3),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_tp) ).
tff(f1213,plain,
! [X2: del,X0: $i,X1: del] :
( mem(ap(c_2Epair_2E_2C(X1,X2),X0),arr(X2,ty_2Epair_2Eprod(X1,X2)))
| ~ mem(X0,X1) ),
inference(resolution,[],[f417,f357]) ).
tff(f357,plain,
! [X0: del,X1: del] : mem(c_2Epair_2E_2C(X0,X1),arr(X0,arr(X1,ty_2Epair_2Eprod(X0,X1)))),
inference(cnf_transformation,[],[f115]) ).
tff(f115,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(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/sandbox/benchmark/theBenchmark.p',mem_c_2Epair_2E_2C) ).
tff(f278267,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(resolution,[],[f218616,f294]) ).
tff(f294,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,[],[f202]) ).
tff(f202,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])],[f146,f201]) ).
tff(f201,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(f146,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,[],[f73]) ).
tff(f73,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(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(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/sandbox/benchmark/theBenchmark.p',conj_thm_2Ereal__topology_2EBOUNDED__BALL) ).
tff(f218616,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)))))
| ~ mem(ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(X0)),inj__ty_2Erealax_2Ereal(X1)),ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
inference(subsumption_resolution,[],[f218615,f1222]) ).
tff(f1222,plain,
! [X0: $i] :
( 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,[],[f417,f306]) ).
tff(f306,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(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/sandbox/benchmark/theBenchmark.p',mem_c_2Ereal__topology_2Eball) ).
tff(f218615,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)))))
| ~ mem(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))),arr(ty_2Erealax_2Ereal,bool))
| ~ mem(ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(X0)),inj__ty_2Erealax_2Ereal(X1)),ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
inference(resolution,[],[f21111,f1223]) ).
tff(f1223,plain,
! [X0: $i] :
( 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,[],[f417,f307]) ).
tff(f307,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(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/sandbox/benchmark/theBenchmark.p',mem_c_2Ereal__topology_2Ecball) ).
tff(f21111,plain,
! [X0: tp__ty_2Erealax_2Ereal,X1: tp__ty_2Erealax_2Ereal] :
( ~ mem(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))),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)),inj__ty_2Erealax_2Ereal(X1)))))
| ~ mem(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))),arr(ty_2Erealax_2Ereal,bool)) ),
inference(subsumption_resolution,[],[f21110,f363]) ).
tff(f363,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,[],[f121]) ).
tff(f121,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(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/sandbox/benchmark/theBenchmark.p',conj_thm_2Ereal__topology_2EBOUNDED__CBALL) ).
tff(f21110,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_2Ecball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(X0)),inj__ty_2Erealax_2Ereal(X1)))))
| ~ mem(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))),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)),inj__ty_2Erealax_2Ereal(X1))),arr(ty_2Erealax_2Ereal,bool)) ),
inference(resolution,[],[f364,f352]) ).
tff(f352,plain,
! [X0: $i,X1: $i] :
( ~ 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,[],[f160]) ).
tff(f160,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,[],[f159]) ).
tff(f159,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,[],[f107]) ).
tff(f107,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(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/sandbox/benchmark/theBenchmark.p',conj_thm_2Ereal__topology_2EBOUNDED__SUBSET) ).
tff(f364,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,[],[f122]) ).
tff(f122,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(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/sandbox/benchmark/theBenchmark.p',conj_thm_2Ereal__topology_2EBALL__SUBSET__CBALL) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ITP023_2 : TPTP v8.2.0. Bugfixed v7.5.0.
% 0.04/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat May 18 18:01:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (31265)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37 % (31267)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.37 % (31268)WARNING: value z3 for option sas not known
% 0.21/0.37 % (31266)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.37 % (31269)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.37 % (31270)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)
% 0.21/0.37 % (31271)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)
% 0.21/0.37 % (31268)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)
% 0.21/0.37 % (31272)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 TRYING [1,1,1,1,1]
% 0.21/0.40 TRYING [1,2,1,1,1]
% 0.21/0.41 TRYING [1,3,1,1,1]
% 0.21/0.43 TRYING [1,2,2,1,1]
% 0.21/0.44 TRYING [2,2,2,1,1]
% 0.21/0.46 TRYING [1,3,2,1,1]
% 0.21/0.48 TRYING [2,3,2,1,1]
% 0.21/0.50 TRYING [1,4,1,1,1]
% 0.21/0.52 TRYING [1,4,2,1,1]
% 1.46/0.55 TRYING [3,3,2,1,1]
% 1.54/0.57 TRYING [2,4,2,1,1]
% 1.54/0.60 TRYING [2,3,3,1,1]
% 1.54/0.62 TRYING [3,4,2,1,1]
% 2.01/0.65 TRYING [3,3,3,1,1]
% 2.25/0.67 TRYING [1]
% 2.25/0.67 TRYING [1,5,1,1,1]
% 2.25/0.70 TRYING [2]
% 2.25/0.72 TRYING [3,4,3,1,1]
% 2.75/0.75 TRYING [1,5,2,1,1]
% 3.03/0.80 TRYING [2,5,2,1,1]
% 3.49/0.84 TRYING [2,4,2,2,1]
% 3.66/0.87 TRYING [3,4,2,2,1]
% 3.66/0.89 TRYING [2,5,2,2,1]
% 3.66/0.91 TRYING [3]
% 4.10/0.94 TRYING [3,5,2,1,1]
% 4.35/1.00 TRYING [3,5,2,2,1]
% 4.86/1.04 TRYING [2,6,2,1,1]
% 5.25/1.12 TRYING [2,6,2,2,1]
% 5.88/1.19 TRYING [4]
% 5.88/1.20 TRYING [3,6,2,1,1]
% 6.35/1.31 TRYING [3,6,2,2,1]
% 7.24/1.41 TRYING [2,7,2,1,1]
% 8.32/1.54 TRYING [2,7,2,2,1]
% 8.32/1.54 TRYING [1,1,1,1,1]
% 8.46/1.55 TRYING [1,2,1,1,1]
% 8.46/1.57 TRYING [1,3,1,1,1]
% 8.46/1.60 TRYING [1,4,1,1,1]
% 9.09/1.66 TRYING [1,4,2,1,1]
% 9.09/1.66 TRYING [3,7,2,1,1]
% 9.47/1.74 TRYING [1,4,2,1,2]
% 10.32/1.81 TRYING [1,4,2,2,2]
% 10.46/1.89 TRYING [2,4,2,2,2]
% 11.09/1.96 TRYING [3,4,2,2,2]
% 11.09/1.97 TRYING [3,7,2,2,1]
% 11.55/2.04 TRYING [3,4,3,2,2]
% 11.55/2.05 TRYING [5]
% 12.43/2.14 TRYING [3,5,3,2,2]
% 13.29/2.26 TRYING [3,6,3,2,1]
% 13.29/2.28 TRYING [3,5,4,2,2]
% 13.78/2.34 TRYING [3,7,3,2,1]
% 14.89/2.47 TRYING [2,8,2,1,1]
% 15.10/2.49 TRYING [3,6,4,2,2]
% 16.34/2.68 TRYING [2,8,2,2,1]
% 17.01/2.79 TRYING [3,7,4,2,2]
% 17.63/2.86 TRYING [2,7,2,2,2]
% 19.33/3.12 TRYING [3,7,2,2,2]
% 19.71/3.19 TRYING [3,8,4,2,2]
% 21.87/3.54 TRYING [2,8,2,2,2]
% 26.92/4.18 TRYING [4,7,2,1,1]
% 29.16/4.51 TRYING [3,8,2,1,1]
% 43.58/6.57 TRYING [3,8,2,2,1]
% 52.61/7.85 TRYING [4,8,4,2,2]
% 56.16/8.34 TRYING [3,8,2,2,2]
% 71.40/10.51 TRYING [4,8,2,1,1]
% 83.81/12.30 TRYING [6]
% 95.62/14.00 % (31268)First to succeed.
% 95.62/14.00 % (31268)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31265"
% 95.62/14.03 % (31268)Refutation found. Thanks to Tanya!
% 95.62/14.03 % SZS status Theorem for theBenchmark
% 95.62/14.03 % SZS output start Proof for theBenchmark
% See solution above
% 95.62/14.03 % (31268)------------------------------
% 95.62/14.03 % (31268)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 95.62/14.03 % (31268)Termination reason: Refutation
% 95.62/14.03
% 95.62/14.03 % (31268)Memory used [KB]: 263299
% 95.62/14.03 % (31268)Time elapsed: 13.622 s
% 95.62/14.03 % (31268)Instructions burned: 46896 (million)
% 95.62/14.03 % (31265)Success in time 13.581 s
%------------------------------------------------------------------------------