TSTP Solution File: ITP023_2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP023_2 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n008.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 06:49:07 EDT 2024
% Result : Theorem 0.55s 0.75s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 60
% Syntax : Number of formulae : 104 ( 25 unt; 48 typ; 0 def)
% Number of atoms : 321 ( 0 equ)
% Maximal formula atoms : 5 ( 5 avg)
% Number of connectives : 118 ( 56 ~; 49 |; 2 &)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of FOOLs : 203 ( 203 fml; 0 var)
% Number of types : 6 ( 4 usr)
% Number of type conns : 73 ( 37 >; 36 *; 0 +; 0 <<)
% Number of predicates : 21 ( 20 usr; 6 prp; 0-3 aty)
% Number of functors : 31 ( 31 usr; 7 con; 0-3 aty)
% Number of variables : 66 ( 61 !; 4 ?; 54 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% 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,
sK11: tp__ty_2Erealax_2Ereal ).
tff(func_def_37,type,
sK12: tp__ty_2Erealax_2Ereal ).
tff(func_def_38,type,
sK13: ( del * $i ) > $i ).
tff(func_def_39,type,
sK14: ( del * $i ) > $i ).
tff(func_def_40,type,
sK15: ( 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 * 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,
sQ16_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f441,plain,
$false,
inference(avatar_sat_refutation,[],[f424,f432,f440]) ).
tff(f440,plain,
spl17_2,
inference(avatar_contradiction_clause,[],[f439]) ).
tff(f439,plain,
( $false
| spl17_2 ),
inference(subsumption_resolution,[],[f438,f380]) ).
tff(f380,plain,
! [X0: tp__ty_2Erealax_2Ereal] : mem(inj__ty_2Erealax_2Ereal(X0),ty_2Erealax_2Ereal),
inference(cnf_transformation,[],[f115]) ).
tff(f115,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/sandbox2/tmp/tmp.DdLVDQ29bm/Vampire---4.8_6973',stp_inj_mem_ty_2Erealax_2Ereal) ).
tff(f438,plain,
( ~ mem(inj__ty_2Erealax_2Ereal(sK12),ty_2Erealax_2Ereal)
| spl17_2 ),
inference(subsumption_resolution,[],[f437,f380]) ).
tff(f437,plain,
( ~ mem(inj__ty_2Erealax_2Ereal(sK11),ty_2Erealax_2Ereal)
| ~ mem(inj__ty_2Erealax_2Ereal(sK12),ty_2Erealax_2Ereal)
| spl17_2 ),
inference(resolution,[],[f436,f382]) ).
tff(f382,plain,
! [X0: del,X1: del] : mem(c_2Epair_2E_2C(X0,X1),arr(X0,arr(X1,ty_2Epair_2Eprod(X0,X1)))),
inference(cnf_transformation,[],[f117]) ).
tff(f117,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/sandbox2/tmp/tmp.DdLVDQ29bm/Vampire---4.8_6973',mem_c_2Epair_2E_2C) ).
tff(f436,plain,
( ! [X0: del,X1: del] :
( ~ mem(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),arr(X1,arr(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))))
| ~ mem(inj__ty_2Erealax_2Ereal(sK11),X1)
| ~ mem(inj__ty_2Erealax_2Ereal(sK12),X0) )
| spl17_2 ),
inference(resolution,[],[f435,f374]) ).
tff(f374,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,[],[f136]) ).
tff(f136,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/sandbox2/tmp/tmp.DdLVDQ29bm/Vampire---4.8_6973',ap_tp) ).
tff(f435,plain,
( ! [X0: del] :
( ~ mem(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(sK11)),arr(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)))
| ~ mem(inj__ty_2Erealax_2Ereal(sK12),X0) )
| spl17_2 ),
inference(resolution,[],[f434,f374]) ).
tff(f434,plain,
( ~ mem(ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(sK11)),inj__ty_2Erealax_2Ereal(sK12)),ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
| spl17_2 ),
inference(resolution,[],[f433,f377]) ).
tff(f377,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/sandbox2/tmp/tmp.DdLVDQ29bm/Vampire---4.8_6973',mem_c_2Ereal__topology_2Ecball) ).
tff(f433,plain,
( ! [X0: del] :
( ~ mem(c_2Ereal__topology_2Ecball,arr(X0,arr(ty_2Erealax_2Ereal,bool)))
| ~ mem(ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(sK11)),inj__ty_2Erealax_2Ereal(sK12)),X0) )
| spl17_2 ),
inference(resolution,[],[f423,f374]) ).
tff(f423,plain,
( ~ mem(ap(c_2Ereal__topology_2Ecball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(sK11)),inj__ty_2Erealax_2Ereal(sK12))),arr(ty_2Erealax_2Ereal,bool))
| spl17_2 ),
inference(avatar_component_clause,[],[f421]) ).
tff(f421,plain,
( spl17_2
<=> mem(ap(c_2Ereal__topology_2Ecball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(sK11)),inj__ty_2Erealax_2Ereal(sK12))),arr(ty_2Erealax_2Ereal,bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_2])]) ).
tff(f432,plain,
spl17_1,
inference(avatar_contradiction_clause,[],[f431]) ).
tff(f431,plain,
( $false
| spl17_1 ),
inference(subsumption_resolution,[],[f430,f380]) ).
tff(f430,plain,
( ~ mem(inj__ty_2Erealax_2Ereal(sK12),ty_2Erealax_2Ereal)
| spl17_1 ),
inference(subsumption_resolution,[],[f429,f380]) ).
tff(f429,plain,
( ~ mem(inj__ty_2Erealax_2Ereal(sK11),ty_2Erealax_2Ereal)
| ~ mem(inj__ty_2Erealax_2Ereal(sK12),ty_2Erealax_2Ereal)
| spl17_1 ),
inference(resolution,[],[f428,f382]) ).
tff(f428,plain,
( ! [X0: del,X1: del] :
( ~ mem(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),arr(X1,arr(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))))
| ~ mem(inj__ty_2Erealax_2Ereal(sK11),X1)
| ~ mem(inj__ty_2Erealax_2Ereal(sK12),X0) )
| spl17_1 ),
inference(resolution,[],[f427,f374]) ).
tff(f427,plain,
( ! [X0: del] :
( ~ mem(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(sK11)),arr(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)))
| ~ mem(inj__ty_2Erealax_2Ereal(sK12),X0) )
| spl17_1 ),
inference(resolution,[],[f426,f374]) ).
tff(f426,plain,
( ~ mem(ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(sK11)),inj__ty_2Erealax_2Ereal(sK12)),ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
| spl17_1 ),
inference(resolution,[],[f425,f378]) ).
tff(f378,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/sandbox2/tmp/tmp.DdLVDQ29bm/Vampire---4.8_6973',mem_c_2Ereal__topology_2Eball) ).
tff(f425,plain,
( ! [X0: del] :
( ~ mem(c_2Ereal__topology_2Eball,arr(X0,arr(ty_2Erealax_2Ereal,bool)))
| ~ mem(ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(sK11)),inj__ty_2Erealax_2Ereal(sK12)),X0) )
| spl17_1 ),
inference(resolution,[],[f419,f374]) ).
tff(f419,plain,
( ~ mem(ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(sK11)),inj__ty_2Erealax_2Ereal(sK12))),arr(ty_2Erealax_2Ereal,bool))
| spl17_1 ),
inference(avatar_component_clause,[],[f417]) ).
tff(f417,plain,
( spl17_1
<=> mem(ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(sK11)),inj__ty_2Erealax_2Ereal(sK12))),arr(ty_2Erealax_2Ereal,bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_1])]) ).
tff(f424,plain,
( ~ spl17_1
| ~ spl17_2 ),
inference(avatar_split_clause,[],[f415,f421,f417]) ).
tff(f415,plain,
( ~ mem(ap(c_2Ereal__topology_2Ecball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),inj__ty_2Erealax_2Ereal(sK11)),inj__ty_2Erealax_2Ereal(sK12))),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(sK11)),inj__ty_2Erealax_2Ereal(sK12))),arr(ty_2Erealax_2Ereal,bool)) ),
inference(resolution,[],[f414,f222]) ).
tff(f222,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(sK11)),inj__ty_2Erealax_2Ereal(sK12))))),
inference(cnf_transformation,[],[f156]) ).
tff(f156,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(sK11)),inj__ty_2Erealax_2Ereal(sK12))))),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f119,f155]) ).
tff(f155,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(sK11)),inj__ty_2Erealax_2Ereal(sK12))))) ),
introduced(choice_axiom,[]) ).
tff(f119,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/sandbox2/tmp/tmp.DdLVDQ29bm/Vampire---4.8_6973',conj_thm_2Ereal__topology_2EBOUNDED__BALL) ).
tff(f414,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_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(subsumption_resolution,[],[f413,f375]) ).
tff(f375,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,[],[f113]) ).
tff(f113,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/sandbox2/tmp/tmp.DdLVDQ29bm/Vampire---4.8_6973',conj_thm_2Ereal__topology_2EBOUNDED__CBALL) ).
tff(f413,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,[],[f381,f383]) ).
tff(f383,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,[],[f138]) ).
tff(f138,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,[],[f137]) ).
tff(f137,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,[],[f118]) ).
tff(f118,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/sandbox2/tmp/tmp.DdLVDQ29bm/Vampire---4.8_6973',conj_thm_2Ereal__topology_2EBOUNDED__SUBSET) ).
tff(f381,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,[],[f116]) ).
tff(f116,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/sandbox2/tmp/tmp.DdLVDQ29bm/Vampire---4.8_6973',conj_thm_2Ereal__topology_2EBALL__SUBSET__CBALL) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ITP023_2 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35 % Computer : n008.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 19:15:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TF0_THM_EQU_NAR problem
% 0.15/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.DdLVDQ29bm/Vampire---4.8_6973
% 0.55/0.74 % (7087)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.55/0.74 % (7083)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.74 % (7081)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.55/0.74 % (7084)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.55/0.74 % (7085)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.55/0.74 % (7086)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.55/0.74 % (7082)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.55/0.74 % (7084)Refutation not found, incomplete strategy% (7084)------------------------------
% 0.55/0.74 % (7084)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (7084)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (7084)Memory used [KB]: 1043
% 0.55/0.74 % (7084)Time elapsed: 0.003 s
% 0.55/0.74 % (7084)Instructions burned: 2 (million)
% 0.55/0.74 % (7084)------------------------------
% 0.55/0.74 % (7084)------------------------------
% 0.55/0.74 % (7087)Refutation not found, incomplete strategy% (7087)------------------------------
% 0.55/0.74 % (7087)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (7087)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (7087)Memory used [KB]: 1171
% 0.55/0.74 % (7087)Time elapsed: 0.004 s
% 0.55/0.74 % (7087)Instructions burned: 9 (million)
% 0.55/0.74 % (7087)------------------------------
% 0.55/0.74 % (7087)------------------------------
% 0.55/0.74 % (7086)Refutation not found, incomplete strategy% (7086)------------------------------
% 0.55/0.74 % (7086)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (7086)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (7086)Memory used [KB]: 1165
% 0.55/0.74 % (7086)Time elapsed: 0.005 s
% 0.55/0.74 % (7086)Instructions burned: 7 (million)
% 0.55/0.74 % (7086)------------------------------
% 0.55/0.74 % (7086)------------------------------
% 0.55/0.74 % (7090)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.55/0.75 % (7088)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.55/0.75 % (7089)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.55/0.75 % (7081)First to succeed.
% 0.55/0.75 % (7091)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.55/0.75 % (7081)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7080"
% 0.55/0.75 % (7081)Refutation found. Thanks to Tanya!
% 0.55/0.75 % SZS status Theorem for Vampire---4
% 0.55/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.75 % (7081)------------------------------
% 0.55/0.75 % (7081)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (7081)Termination reason: Refutation
% 0.55/0.75
% 0.55/0.75 % (7081)Memory used [KB]: 1210
% 0.55/0.75 % (7081)Time elapsed: 0.011 s
% 0.55/0.75 % (7081)Instructions burned: 18 (million)
% 0.55/0.75 % (7080)Success in time 0.383 s
% 0.55/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------