%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP023_2 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:35:56 AM UTC 2026
% Result : Theorem 35.80s 5.54s
% Output : Refutation 35.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 16
% Syntax : Number of formulae : 69 ( 50 unt; 0 typ; 7 def)
% Number of atoms : 384 ( 14 equ)
% Maximal formula atoms : 5 ( 5 avg)
% Number of connectives : 79 ( 41 ~; 32 |; 1 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of FOOLs : 277 ( 277 fml; 0 var)
% Number of types : 6 ( 4 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 26 ( 24 usr; 11 prp; 0-3 aty)
% Number of functors : 33 ( 33 usr; 7 con; 0-3 aty)
% Number of variables : 50 ( 48 !; 2 ?; 50 :)
% 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: ( del * $i * $i ) > $i ).
tff(func_def_37,type,
sK12: ( del * $i ) > $i ).
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 ).
tff(func_def_41,type,
sK16: tp__ty_2Erealax_2Ereal ).
tff(func_def_42,type,
sK17: tp__ty_2Erealax_2Ereal ).
tff(pred_def_1,type,
mem: ( $i * del ) > $o ).
tff(pred_def_3,type,
sP0: ( tp__o * 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 ) > $o ).
tff(f1,axiom,
! [X0: del,X1: del,X2: $i] :
( mem(X2,arr(X0,X1))
=> ! [X3: $i] :
( mem(X3,X0)
=> mem(ap(X2,X3),X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP001_2.ax',ap_tp) ).
tff(f15,axiom,
! [X0: tp__ty_2Erealax_2Ereal] : mem(inj__ty_2Erealax_2Ereal(X0),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,
! [X0: del,X1: del] : mem(c_2Epair_2E_2C(X0,X1),arr(X0,arr(X1,ty_2Epair_2Eprod(X0,X1)))),
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,
! [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))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Ereal__topology_2EBALL__SUBSET__CBALL) ).
tff(f59,axiom,
! [X0: $i] :
( mem(X0,arr(ty_2Erealax_2Ereal,bool))
=> ! [X1: $i] :
( mem(X1,arr(ty_2Erealax_2Ereal,bool))
=> ( ( p(ap(c_2Ereal__topology_2Ebounded__def,X1))
& p(ap(ap(c_2Epred__set_2ESUBSET(ty_2Erealax_2Ereal),X0),X1)) )
=> p(ap(c_2Ereal__topology_2Ebounded__def,X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Ereal__topology_2EBOUNDED__SUBSET) ).
tff(f60,axiom,
! [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))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Ereal__topology_2EBOUNDED__CBALL) ).
tff(f71,conjecture,
! [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))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Ereal__topology_2EBOUNDED__BALL) ).
tff(f72,negated_conjecture,
~ ! [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(negated_conjecture,[status(cth)],[f71]) ).
tff(f90,plain,
! [X0: del,X1: del,X2: $i] :
( ! [X3: $i] :
( mem(ap(X2,X3),X1)
| ~ mem(X3,X0) )
| ~ mem(X2,arr(X0,X1)) ),
inference(ennf_transformation,[],[f1]) ).
tff(f115,plain,
! [X0: $i] :
( ! [X1: $i] :
( p(ap(c_2Ereal__topology_2Ebounded__def,X0))
| ~ p(ap(c_2Ereal__topology_2Ebounded__def,X1))
| ~ p(ap(ap(c_2Epred__set_2ESUBSET(ty_2Erealax_2Ereal),X0),X1))
| ~ mem(X1,arr(ty_2Erealax_2Ereal,bool)) )
| ~ mem(X0,arr(ty_2Erealax_2Ereal,bool)) ),
inference(ennf_transformation,[],[f59]) ).
tff(f116,plain,
! [X0: $i] :
( ! [X1: $i] :
( p(ap(c_2Ereal__topology_2Ebounded__def,X0))
| ~ p(ap(c_2Ereal__topology_2Ebounded__def,X1))
| ~ p(ap(ap(c_2Epred__set_2ESUBSET(ty_2Erealax_2Ereal),X0),X1))
| ~ mem(X1,arr(ty_2Erealax_2Ereal,bool)) )
| ~ mem(X0,arr(ty_2Erealax_2Ereal,bool)) ),
inference(flattening,[],[f115]) ).
tff(f122,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,[],[f72]) ).
tff(f213,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(skolemize,[status(esa),new_symbols(skolem,[sK16,sK17]),skolemize(X0,sK16),skolemize(X1,sK17)],[f122]) ).
tff(f214,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,[],[f90]) ).
tff(f232,plain,
! [X0: tp__ty_2Erealax_2Ereal] : mem(inj__ty_2Erealax_2Ereal(X0),ty_2Erealax_2Ereal),
inference(cnf_transformation,[],[f15]) ).
tff(f237,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(f240,plain,
! [X0: del,X1: del] : mem(c_2Epair_2E_2C(X0,X1),arr(X0,arr(X1,ty_2Epair_2Eprod(X0,X1)))),
inference(cnf_transformation,[],[f23]) ).
tff(f241,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(f322,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,[],[f58]) ).
tff(f323,plain,
! [X0: $i,X1: $i] :
( ~ 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))
| ~ mem(X1,arr(ty_2Erealax_2Ereal,bool))
| ~ mem(X0,arr(ty_2Erealax_2Ereal,bool)) ),
inference(cnf_transformation,[],[f116]) ).
tff(f324,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,[],[f60]) ).
tff(f425,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,[],[f213]) ).
tff(f429,definition,
sF18 = c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
tff(f430,plain,
c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal) = sF18,
inference(reorient_equations,[],[f429]) ).
tff(f431,definition,
sF19 = inj__ty_2Erealax_2Ereal(sK16),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
tff(f432,plain,
inj__ty_2Erealax_2Ereal(sK16) = sF19,
inference(reorient_equations,[],[f431]) ).
tff(f433,definition,
sF20 = ap(sF18,sF19),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
tff(f434,plain,
ap(sF18,sF19) = sF20,
inference(reorient_equations,[],[f433]) ).
tff(f435,definition,
sF21 = inj__ty_2Erealax_2Ereal(sK17),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
tff(f436,plain,
inj__ty_2Erealax_2Ereal(sK17) = sF21,
inference(reorient_equations,[],[f435]) ).
tff(f437,definition,
sF22 = ap(sF20,sF21),
introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).
tff(f438,plain,
ap(sF20,sF21) = sF22,
inference(reorient_equations,[],[f437]) ).
tff(f439,definition,
sF23 = ap(c_2Ereal__topology_2Eball,sF22),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
tff(f440,plain,
ap(c_2Ereal__topology_2Eball,sF22) = sF23,
inference(reorient_equations,[],[f439]) ).
tff(f441,definition,
sF24 = ap(c_2Ereal__topology_2Ebounded__def,sF23),
introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).
tff(f442,plain,
ap(c_2Ereal__topology_2Ebounded__def,sF23) = sF24,
inference(reorient_equations,[],[f441]) ).
tff(f443,plain,
~ p(sF24),
inference(definition_folding,[],[f425,f442,f440,f438,f436,f434,f432,f430]) ).
tff(f464,plain,
mem(sF19,ty_2Erealax_2Ereal),
inference(superposition,[],[f232,f432]) ).
tff(f465,plain,
mem(sF21,ty_2Erealax_2Ereal),
inference(superposition,[],[f232,f436]) ).
tff(f595,plain,
mem(sF18,arr(ty_2Erealax_2Ereal,arr(ty_2Erealax_2Ereal,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)))),
inference(superposition,[],[f240,f430]) ).
tff(f640,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,[],[f214,f237]) ).
tff(f641,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,[],[f214,f241]) ).
tff(f643,plain,
! [X0: $i] :
( mem(ap(sF18,X0),arr(ty_2Erealax_2Ereal,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)))
| ~ mem(X0,ty_2Erealax_2Ereal) ),
inference(resolution,[],[f214,f595]) ).
tff(f1189,plain,
! [X0: 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),sF19),inj__ty_2Erealax_2Ereal(X0))))),
inference(superposition,[],[f324,f432]) ).
tff(f1196,plain,
! [X0: tp__ty_2Erealax_2Ereal] : p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Ecball,ap(ap(sF18,sF19),inj__ty_2Erealax_2Ereal(X0))))),
inference(forward_demodulation,[],[f1189,f430]) ).
tff(f1197,plain,
! [X0: tp__ty_2Erealax_2Ereal] : p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Ecball,ap(sF20,inj__ty_2Erealax_2Ereal(X0))))),
inference(forward_demodulation,[],[f1196,f434]) ).
tff(f1891,plain,
! [X0: 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),sF19),inj__ty_2Erealax_2Ereal(X0)))),ap(c_2Ereal__topology_2Ecball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),sF19),inj__ty_2Erealax_2Ereal(X0))))),
inference(superposition,[],[f322,f432]) ).
tff(f1898,plain,
! [X0: tp__ty_2Erealax_2Ereal] : p(ap(ap(c_2Epred__set_2ESUBSET(ty_2Erealax_2Ereal),ap(c_2Ereal__topology_2Eball,ap(ap(sF18,sF19),inj__ty_2Erealax_2Ereal(X0)))),ap(c_2Ereal__topology_2Ecball,ap(ap(sF18,sF19),inj__ty_2Erealax_2Ereal(X0))))),
inference(forward_demodulation,[],[f1891,f430]) ).
tff(f1900,plain,
! [X0: tp__ty_2Erealax_2Ereal] : p(ap(ap(c_2Epred__set_2ESUBSET(ty_2Erealax_2Ereal),ap(c_2Ereal__topology_2Eball,ap(sF20,inj__ty_2Erealax_2Ereal(X0)))),ap(c_2Ereal__topology_2Ecball,ap(sF20,inj__ty_2Erealax_2Ereal(X0))))),
inference(forward_demodulation,[],[f1898,f434]) ).
tff(f1912,plain,
p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Ecball,ap(sF20,sF21)))),
inference(superposition,[],[f1197,f436]) ).
tff(f1913,plain,
p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Ecball,sF22))),
inference(forward_demodulation,[],[f1912,f438]) ).
tff(f3214,plain,
( ~ mem(sF22,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
| mem(sF23,arr(ty_2Erealax_2Ereal,bool)) ),
inference(superposition,[],[f640,f440]) ).
tff(f4134,plain,
p(ap(ap(c_2Epred__set_2ESUBSET(ty_2Erealax_2Ereal),ap(c_2Ereal__topology_2Eball,ap(sF20,sF21))),ap(c_2Ereal__topology_2Ecball,ap(sF20,sF21)))),
inference(superposition,[],[f1900,f436]) ).
tff(f4135,plain,
p(ap(ap(c_2Epred__set_2ESUBSET(ty_2Erealax_2Ereal),ap(c_2Ereal__topology_2Eball,sF22)),ap(c_2Ereal__topology_2Ecball,sF22))),
inference(forward_demodulation,[],[f4134,f438]) ).
tff(f4137,plain,
p(ap(ap(c_2Epred__set_2ESUBSET(ty_2Erealax_2Ereal),sF23),ap(c_2Ereal__topology_2Ecball,sF22))),
inference(forward_demodulation,[],[f4135,f440]) ).
tff(f4190,plain,
( ~ p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Ecball,sF22)))
| p(ap(c_2Ereal__topology_2Ebounded__def,sF23))
| ~ mem(ap(c_2Ereal__topology_2Ecball,sF22),arr(ty_2Erealax_2Ereal,bool))
| ~ mem(sF23,arr(ty_2Erealax_2Ereal,bool)) ),
inference(resolution,[],[f4137,f323]) ).
tff(f4191,plain,
( p(ap(c_2Ereal__topology_2Ebounded__def,sF23))
| ~ mem(ap(c_2Ereal__topology_2Ecball,sF22),arr(ty_2Erealax_2Ereal,bool))
| ~ mem(sF23,arr(ty_2Erealax_2Ereal,bool)) ),
inference(forward_subsumption_resolution,[],[f4190,f1913]) ).
tff(f4192,plain,
( p(sF24)
| ~ mem(ap(c_2Ereal__topology_2Ecball,sF22),arr(ty_2Erealax_2Ereal,bool))
| ~ mem(sF23,arr(ty_2Erealax_2Ereal,bool)) ),
inference(forward_demodulation,[],[f4191,f442]) ).
tff(f4193,plain,
( ~ mem(ap(c_2Ereal__topology_2Ecball,sF22),arr(ty_2Erealax_2Ereal,bool))
| ~ mem(sF23,arr(ty_2Erealax_2Ereal,bool)) ),
inference(forward_subsumption_resolution,[],[f4192,f443]) ).
tff(f4200,plain,
( ~ mem(sF23,arr(ty_2Erealax_2Ereal,bool))
| ~ mem(sF22,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
inference(resolution,[],[f4193,f641]) ).
tff(f4201,plain,
~ mem(sF22,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)),
inference(forward_subsumption_resolution,[],[f4200,f3214]) ).
tff(f9563,plain,
( mem(sF20,arr(ty_2Erealax_2Ereal,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)))
| ~ mem(sF19,ty_2Erealax_2Ereal) ),
inference(superposition,[],[f643,f434]) ).
tff(f9564,plain,
mem(sF20,arr(ty_2Erealax_2Ereal,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))),
inference(forward_subsumption_resolution,[],[f9563,f464]) ).
tff(f9566,plain,
! [X0: $i] :
( mem(ap(sF20,X0),ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
| ~ mem(X0,ty_2Erealax_2Ereal) ),
inference(resolution,[],[f9564,f214]) ).
tff(f31436,plain,
( mem(sF22,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
| ~ mem(sF21,ty_2Erealax_2Ereal) ),
inference(superposition,[],[f9566,f438]) ).
tff(f31437,plain,
~ mem(sF21,ty_2Erealax_2Ereal),
inference(forward_subsumption_resolution,[],[f31436,f4201]) ).
tff(f31438,plain,
$false,
inference(forward_subsumption_resolution,[],[f31437,f465]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP023_2 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n010.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 12:10:02 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.14/1.69 % (861861)Will run a generic schedule for satisfiability detection.
% 7.14/1.69 % (861871)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=649807540:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.14/1.69 % (861867)% WARNING: option uhcvi not known.
% 7.14/1.69 % (861867)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4248145484:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.14/1.69 % (861866)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1796412446_2999 on theBenchmark for (2999ds/0Mi)
% 7.14/1.69 % (861868)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3636851325:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.14/1.69 % (861869)dis+10_1_sil=32000:sp=arity:random_seed=590078676:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.14/1.69 % (861870)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2781212193:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.14/1.69 % (861872)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=120650174:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.14/1.69 % TRYING [1,1,1,1,1]
% 7.14/1.69 % TRYING [1,2,1,1,1]
% 7.14/1.69 % TRYING [1,3,1,1,1]
% 7.14/1.69 % (861871)Instruction limit reached!
% 7.14/1.69 % (861871)------------------------------
% 7.14/1.69 % (861871)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.14/1.69 % (861871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/1.69 % (861871)CaDiCaL version: 2.1.3
% 7.14/1.69 % (861871)Termination reason: Instruction limit
% 7.14/1.69 % (861871)Termination phase: Saturation
% 7.14/1.69 % (861871)Time elapsed: 0.040 s
% 7.14/1.69 % (861871)Peak memory usage: 13 MB
% 7.14/1.69 % (861871)Instructions burned: 132 (million)
% 7.14/1.69 % TRYING [1,2,2,1,1]
% 7.14/1.69 % TRYING [2,2,2,1,1]
% 7.14/1.69 % (861880)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1341856803:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 7.14/1.69 % TRYING [1,3,2,1,1]
% 7.14/1.69 % TRYING [1]
% 7.14/1.69 % TRYING [2,3,2,1,1]
% 7.14/1.69 % TRYING [2]
% 7.14/1.69 % TRYING [3]
% 7.14/1.69 % TRYING [1,4,1,1,1]
% 7.14/1.69 % (861869)Instruction limit reached!
% 7.14/1.69 % (861869)------------------------------
% 7.14/1.69 % (861869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.14/1.69 % (861869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/1.69 % (861869)CaDiCaL version: 2.1.3
% 7.14/1.69 % (861869)Termination reason: Instruction limit
% 7.14/1.69 % (861869)Termination phase: Saturation
% 7.14/1.69 % (861869)Time elapsed: 0.067 s
% 7.14/1.69 % (861869)Peak memory usage: 12 MB
% 7.14/1.69 % (861869)Instructions burned: 103 (million)
% 7.14/1.69 % TRYING [4]
% 7.14/1.69 % (861870)Instruction limit reached!
% 7.14/1.69 % (861870)------------------------------
% 7.14/1.69 % (861870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.14/1.69 % (861870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/1.69 % (861870)CaDiCaL version: 2.1.3
% 7.14/1.69 % (861870)Termination reason: Instruction limit
% 7.14/1.69 % (861870)Termination phase: Saturation
% 7.14/1.69 % (861870)Time elapsed: 0.069 s
% 7.14/1.69 % (861870)Peak memory usage: 13 MB
% 7.14/1.69 % (861870)Instructions burned: 117 (million)
% 7.14/1.69 % TRYING [1,4,2,1,1]
% 7.14/1.69 % (861882)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3784530939:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 7.14/1.69 % (861883)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1670643625:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.14/1.69 % TRYING [2,4,2,1,1]
% 7.14/1.69 % TRYING [5]
% 7.14/1.69 % (861872)Instruction limit reached!
% 7.14/1.69 % (861872)------------------------------
% 7.14/1.69 % (861872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.14/1.69 % (861872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/1.69 % (861872)CaDiCaL version: 2.1.3
% 7.14/1.69 % (861872)Termination reason: Instruction limit
% 7.14/1.69 % (861872)Termination phase: Saturation
% 7.14/1.69 % (861872)Time elapsed: 0.101 s
% 7.14/1.69 % (861872)Peak memory usage: 14 MB
% 7.14/1.69 % (861872)Instructions burned: 160 (million)
% 7.14/1.69 % TRYING [1,5,1,1,1]
% 7.14/1.69 % (861886)ott-21_1_sil=16000:fs=off:random_seed=1823340608:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.14/1.69 % TRYING [1,5,2,1,1]
% 7.14/1.69 % TRYING [6]
% 7.14/1.69 % TRYING [3,4,2,1,1]
% 33.45/5.13 % (861882)Instruction limit reached!
% 33.45/5.13 % (861882)------------------------------
% 33.45/5.13 % (861882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.45/5.13 % (861882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.45/5.13 % (861882)CaDiCaL version: 2.1.3
% 33.45/5.13 % (861882)Termination reason: Instruction limit
% 33.45/5.13 % (861882)Termination phase: Saturation
% 33.45/5.13 % (861882)Time elapsed: 0.083 s
% 33.45/5.13 % (861882)Peak memory usage: 13 MB
% 33.45/5.13 % (861882)Instructions burned: 131 (million)
% 33.45/5.13 % TRYING [2,5,2,1,1]
% 33.45/5.13 % (861888)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1641154891:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 33.45/5.13 % (861880)Instruction limit reached!
% 33.45/5.13 % (861880)------------------------------
% 33.45/5.13 % (861880)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.45/5.13 % (861880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.45/5.13 % (861880)CaDiCaL version: 2.1.3
% 33.45/5.13 % (861880)Termination reason: Instruction limit
% 33.45/5.13 % (861880)Termination phase: Finite model building constraint generation
% 33.45/5.13 % (861880)Time elapsed: 0.153 s
% 33.45/5.13 % (861880)Peak memory usage: 31 MB
% 33.45/5.13 % (861880)Instructions burned: 717 (million)
% 33.45/5.13 % (861890)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=659986599:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 33.45/5.13 % (861886)Instruction limit reached!
% 33.45/5.13 % (861886)------------------------------
% 33.45/5.13 % (861886)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.45/5.13 % (861886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.45/5.13 % (861886)CaDiCaL version: 2.1.3
% 33.45/5.13 % (861886)Termination reason: Instruction limit
% 33.45/5.13 % (861886)Termination phase: Saturation
% 33.45/5.13 % (861886)Time elapsed: 0.091 s
% 33.45/5.13 % (861886)Peak memory usage: 13 MB
% 33.45/5.13 % (861886)Instructions burned: 181 (million)
% 33.45/5.13 % TRYING [1,1,1,1,1]
% 33.45/5.13 % TRYING [1,2,1,1,1]
% 33.45/5.13 % TRYING [1,6,2,1,1]
% 33.45/5.13 % TRYING [1,3,1,1,1]
% 33.45/5.13 % (861892)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1718839520:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 33.45/5.13 % TRYING [1,2,2,1,1]
% 33.45/5.13 % TRYING [2,2,2,1,1]
% 33.45/5.13 % TRYING [1,3,2,1,1]
% 33.45/5.13 % TRYING [2,6,2,1,1]
% 33.45/5.13 % TRYING [2,3,2,1,1]
% 33.45/5.13 % TRYING [1,4,1,1,1]
% 33.45/5.13 % TRYING [1,4,2,1,1]
% 33.45/5.13 % TRYING [2,4,2,1,1]
% 33.45/5.13 % TRYING [1,5,1,1,1]
% 33.45/5.13 % TRYING [1,7,2,1,1]
% 33.45/5.13 % (861890)Instruction limit reached!
% 33.45/5.13 % (861890)------------------------------
% 33.45/5.13 % (861890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.45/5.13 % (861890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.45/5.13 % (861890)CaDiCaL version: 2.1.3
% 33.45/5.13 % (861890)Termination reason: Instruction limit
% 33.45/5.13 % (861890)Termination phase: Finite model building SAT solving
% 33.45/5.13 % (861890)Time elapsed: 0.183 s
% 33.45/5.13 % (861890)Peak memory usage: 16 MB
% 33.45/5.13 % (861890)Instructions burned: 870 (million)
% 33.45/5.13 % (861894)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=551335694:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 33.45/5.13 % (861883)Instruction limit reached!
% 33.45/5.13 % (861883)------------------------------
% 33.45/5.13 % (861883)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.45/5.13 % (861883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.45/5.13 % (861883)CaDiCaL version: 2.1.3
% 33.45/5.13 % (861883)Termination reason: Instruction limit
% 33.45/5.13 % (861883)Termination phase: Saturation
% 33.45/5.13 % (861883)Time elapsed: 0.365 s
% 33.45/5.13 % (861883)Peak memory usage: 16 MB
% 33.45/5.13 % (861883)Instructions burned: 686 (million)
% 33.45/5.13 % TRYING [1,6,2,1,2]
% 33.45/5.13 % (861896)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2554146691:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 33.45/5.13 % TRYING [14,14,14,14,14]
% 33.45/5.13 % (861888)Instruction limit reached!
% 33.45/5.13 % (861888)------------------------------
% 33.45/5.13 % (861888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.45/5.13 % (861888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.45/5.13 % (861888)CaDiCaL version: 2.1.3
% 33.45/5.13 % (861888)Termination reason: Instruction limit
% 35.80/5.54 % (861888)Termination phase: Saturation
% 35.80/5.54 % (861888)Time elapsed: 0.305 s
% 35.80/5.54 % (861888)Peak memory usage: 14 MB
% 35.80/5.54 % (861888)Instructions burned: 477 (million)
% 35.80/5.54 % TRYING [2,6,2,1,2]
% 35.80/5.54 % (861898)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1392251593:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 35.80/5.54 % (861894)Instruction limit reached!
% 35.80/5.54 % (861894)------------------------------
% 35.80/5.54 % (861894)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.80/5.54 % (861894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.80/5.54 % (861894)CaDiCaL version: 2.1.3
% 35.80/5.54 % (861894)Termination reason: Instruction limit
% 35.80/5.54 % (861894)Termination phase: Finite model building constraint generation
% 35.80/5.54 % (861894)Time elapsed: 0.186 s
% 35.80/5.54 % (861894)Peak memory usage: 79 MB
% 35.80/5.54 % (861894)Instructions burned: 893 (million)
% 35.80/5.54 % (861900)fmb+10_1_sil=64000:random_seed=3615102685:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 35.80/5.54 % TRYING [1,1,1,1,1]
% 35.80/5.54 % TRYING [1,7,2,1,2]
% 35.80/5.54 % TRYING [1,2,1,1,1]
% 35.80/5.54 % TRYING [1,3,1,1,1]
% 35.80/5.54 % TRYING [1,2,2,1,1]
% 35.80/5.54 % TRYING [2,2,2,1,1]
% 35.80/5.54 % TRYING [1,3,2,1,1]
% 35.80/5.54 % TRYING [2,3,2,1,1]
% 35.80/5.54 % TRYING [1,4,1,1,1]
% 35.80/5.54 % TRYING [1,6,2,2,2]
% 35.80/5.54 % TRYING [1,4,2,1,1]
% 35.80/5.54 % TRYING [2,4,2,1,1]
% 35.80/5.54 % TRYING [2,6,2,2,2]
% 35.80/5.54 % TRYING [1,5,1,1,1]
% 35.80/5.54 % TRYING [1,5,2,1,1]
% 35.80/5.54 % TRYING [3,4,2,1,1]
% 35.80/5.54 % TRYING [1,7,2,2,2]
% 35.80/5.54 % (861896)Instruction limit reached!
% 35.80/5.54 % (861896)------------------------------
% 35.80/5.54 % (861896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.80/5.54 % (861896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.80/5.54 % (861896)CaDiCaL version: 2.1.3
% 35.80/5.54 % (861896)Termination reason: Instruction limit
% 35.80/5.54 % (861896)Termination phase: Saturation
% 35.80/5.54 % (861896)Time elapsed: 0.376 s
% 35.80/5.54 % (861896)Peak memory usage: 16 MB
% 35.80/5.54 % (861896)Instructions burned: 693 (million)
% 35.80/5.54 % TRYING [2,5,2,1,1]
% 35.80/5.54 % (861892)Instruction limit reached!
% 35.80/5.54 % (861892)------------------------------
% 35.80/5.54 % (861892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.80/5.54 % (861892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.80/5.54 % (861892)CaDiCaL version: 2.1.3
% 35.80/5.54 % (861892)Termination reason: Instruction limit
% 35.80/5.54 % (861892)Termination phase: Saturation
% 35.80/5.54 % (861892)Time elapsed: 0.627 s
% 35.80/5.54 % (861892)Peak memory usage: 20 MB
% 35.80/5.54 % (861892)Instructions burned: 1180 (million)
% 35.80/5.54 % (861902)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3538029519:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 35.80/5.54 % (861903)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3715019161:fmbsr=1.7:i=920_2991 on theBenchmark for (2991ds/920Mi)
% 35.80/5.54 % TRYING [3,5,2,1,1]
% 35.80/5.54 % TRYING [20,20,20,20,20]
% 35.80/5.54 % TRYING [8,8,8,8,8]
% 35.80/5.54 % TRYING [3,6,2,1,1]
% 35.80/5.54 % TRYING [3,4,3,1,1]
% 35.80/5.54 % TRYING [3,5,3,1,1]
% 35.80/5.54 % (861898)Instruction limit reached!
% 35.80/5.54 % (861898)------------------------------
% 35.80/5.54 % (861898)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.80/5.54 % (861898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.80/5.54 % (861898)CaDiCaL version: 2.1.3
% 35.80/5.54 % (861898)Termination reason: Instruction limit
% 35.80/5.54 % (861898)Termination phase: Saturation
% 35.80/5.54 % (861898)Time elapsed: 0.495 s
% 35.80/5.54 % (861898)Peak memory usage: 20 MB
% 35.80/5.54 % (861898)Instructions burned: 880 (million)
% 35.80/5.54 % TRYING [2,6,2,1,1]
% 35.80/5.54 % (861906)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=880603904:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 35.80/5.54 % TRYING [2,5,2,2,1]
% 35.80/5.54 % TRYING [2,7,2,1,1]
% 35.80/5.54 % TRYING [3,5,2,2,1]
% 35.80/5.54 % TRYING [2,6,2,2,1]
% 35.80/5.54 % (861903)Instruction limit reached!
% 35.80/5.54 % (861903)------------------------------
% 35.80/5.54 % (861903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.80/5.54 % (861903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.80/5.54 % (861903)CaDiCaL version: 2.1.3
% 35.80/5.54 % (861903)Termination reason: Instruction limit
% 35.80/5.54 % (861903)Termination phase: Finite model building constraint generation
% 35.80/5.54 % (861903)Time elapsed: 0.359 s
% 35.80/5.54 % (861903)Peak memory usage: 67 MB
% 35.80/5.54 % (861903)Instructions burned: 921 (million)
% 35.80/5.54 % TRYING [3,6,2,1,1]
% 35.80/5.54 % (861908)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=899639861:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 35.80/5.54 % TRYING [2,7,2,1,2]
% 35.80/5.54 % TRYING [2,7,2,1,1]
% 35.80/5.54 % TRYING [3,6,2,2,2]
% 35.80/5.54 % TRYING [2,7,2,2,1]
% 35.80/5.54 % TRYING [3,7,2,1,1]
% 35.80/5.54 % TRYING [2,7,2,2,2]
% 35.80/5.54 % TRYING [2,8,2,1,1]
% 35.80/5.54 % (861908)Instruction limit reached!
% 35.80/5.54 % (861908)------------------------------
% 35.80/5.54 % (861908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.80/5.54 % (861908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.80/5.54 % (861908)CaDiCaL version: 2.1.3
% 35.80/5.54 % (861908)Termination reason: Instruction limit
% 35.80/5.54 % (861908)Termination phase: Saturation
% 35.80/5.54 % (861908)Time elapsed: 0.627 s
% 35.80/5.54 % (861908)Peak memory usage: 21 MB
% 35.80/5.54 % (861908)Instructions burned: 1474 (million)
% 35.80/5.54 % (861910)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2306440568:i=6324_2980 on theBenchmark for (2980ds/6324Mi)
% 35.80/5.54 % TRYING [77,77,77,77,77]
% 35.80/5.54 % TRYING [4,6,2,1,1]
% 35.80/5.54 % TRYING [3,7,2,2,1]
% 35.80/5.54 % TRYING [3,7,2,1,1]
% 35.80/5.54 % TRYING [2,8,2,2,1]
% 35.80/5.54 % TRYING [4,7,2,1,1]
% 35.80/5.54 % TRYING [3,8,2,1,1]
% 35.80/5.54 % (861906)Instruction limit reached!
% 35.80/5.54 % (861906)------------------------------
% 35.80/5.54 % (861906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.80/5.54 % (861906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.80/5.54 % (861906)CaDiCaL version: 2.1.3
% 35.80/5.54 % (861906)Termination reason: Instruction limit
% 35.80/5.54 % (861906)Termination phase: Saturation
% 35.80/5.54 % (861906)Time elapsed: 2.702 s
% 35.80/5.54 % (861906)Peak memory usage: 35 MB
% 35.80/5.54 % (861906)Instructions burned: 5133 (million)
% 35.80/5.54 % (861912)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2844439292:fmbsr=2.30978:i=2174_2962 on theBenchmark for (2962ds/2174Mi)
% 35.80/5.54 % TRYING [3,7,2,2,2]
% 35.80/5.54 % TRYING [16]
% 35.80/5.54 % (861910)Instruction limit reached!
% 35.80/5.54 % (861910)------------------------------
% 35.80/5.54 % (861910)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.80/5.54 % (861910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.80/5.54 % (861910)CaDiCaL version: 2.1.3
% 35.80/5.54 % (861910)Termination reason: Instruction limit
% 35.80/5.54 % (861910)Termination phase: Finite model building constraint generation
% 35.80/5.54 % (861910)Time elapsed: 2.328 s
% 35.80/5.54 % (861910)Peak memory usage: 503 MB
% 35.80/5.54 % (861910)Instructions burned: 6326 (million)
% 35.80/5.54 % (861902)Instruction limit reached!
% 35.80/5.54 % (861902)------------------------------
% 35.80/5.54 % (861902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.80/5.54 % (861902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.80/5.54 % (861902)CaDiCaL version: 2.1.3
% 35.80/5.54 % (861902)Termination reason: Instruction limit
% 35.80/5.54 % (861902)Termination phase: Finite model building constraint generation
% 35.80/5.54 % (861902)Time elapsed: 3.401 s
% 35.80/5.54 % (861902)Peak memory usage: 587 MB
% 35.80/5.54 % (861902)Instructions burned: 9518 (million)
% 35.80/5.54 % (861914)ott-2_1_sil=16000:newcnf=on:random_seed=2264906048:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2956 on theBenchmark for (2956ds/869Mi)
% 35.80/5.54 % (861916)ott+10_1_sil=32000:tgt=ground:random_seed=1990618736:i=5114:av=off_2956 on theBenchmark for (2956ds/5114Mi)
% 35.80/5.54 % (861912)Instruction limit reached!
% 35.80/5.54 % (861912)------------------------------
% 35.80/5.54 % (861912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.80/5.54 % (861912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.80/5.54 % (861912)CaDiCaL version: 2.1.3
% 35.80/5.54 % (861912)Termination reason: Instruction limit
% 35.80/5.54 % (861912)Termination phase: Finite model building constraint generation
% 35.80/5.54 % (861912)Time elapsed: 0.754 s
% 35.80/5.54 % (861912)Peak memory usage: 136 MB
% 35.80/5.54 % (861912)Instructions burned: 2174 (million)
% 35.80/5.54 % (861918)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2657340171:i=54282_2954 on theBenchmark for (2954ds/54282Mi)
% 35.80/5.54 % TRYING [1,1,1,1,1]
% 35.80/5.54 % TRYING [1,2,1,1,1]
% 35.80/5.54 % TRYING [1,3,1,1,1]
% 35.80/5.54 % TRYING [1,2,2,1,1]
% 35.80/5.54 % TRYING [2,2,2,1,1]
% 35.80/5.54 % TRYING [1,3,2,1,1]
% 35.80/5.54 % TRYING [2,3,2,1,1]
% 35.80/5.54 % TRYING [1,4,1,1,1]
% 35.80/5.54 % TRYING [1,4,2,1,1]
% 35.80/5.54 % TRYING [2,4,2,1,1]
% 35.80/5.54 % TRYING [1,5,1,1,1]
% 35.80/5.54 % TRYING [1,5,2,1,1]
% 35.80/5.54 % TRYING [3,4,2,1,1]
% 35.80/5.54 % TRYING [2,5,2,1,1]
% 35.80/5.54 % TRYING [1,6,2,1,1]
% 35.80/5.54 % (861914)Instruction limit reached!
% 35.80/5.54 % (861914)------------------------------
% 35.80/5.54 % (861914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.80/5.54 % (861914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.80/5.54 % (861914)CaDiCaL version: 2.1.3
% 35.80/5.54 % (861914)Termination reason: Instruction limit
% 35.80/5.54 % (861914)Termination phase: Saturation
% 35.80/5.54 % (861914)Time elapsed: 0.501 s
% 35.80/5.54 % (861914)Peak memory usage: 17 MB
% 35.80/5.54 % (861914)Instructions burned: 869 (million)
% 35.80/5.54 % TRYING [2,6,2,1,1]
% 35.80/5.54 % (861920)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3259195889:i=3512:aac=none_2951 on theBenchmark for (2951ds/3512Mi)
% 35.80/5.54 % TRYING [1,7,2,1,1]
% 35.80/5.54 % TRYING [1,6,2,1,2]
% 35.80/5.54 % TRYING [2,6,2,1,2]
% 35.80/5.54 % (861916) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-861861-861916"...
% 35.80/5.54 % (861916)...printing done.
% 35.80/5.54 % (861916)Refutation found. Thanks to Tanya!
% 35.80/5.54 % SZS status Theorem for theBenchmark
% 35.80/5.54 % SZS output start Proof for theBenchmark
% See solution above
% 35.80/5.54 % (861916)------------------------------
% 35.80/5.54 % (861916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.80/5.54 % (861916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.80/5.54 % (861916)CaDiCaL version: 2.1.3
% 35.80/5.54 % (861916)Termination reason: Refutation
% 35.80/5.54 % (861916)Time elapsed: 0.711 s
% 35.80/5.54 % (861916)Peak memory usage: 20 MB
% 35.80/5.54 % (861916)Instructions burned: 1350 (million)
% 35.80/5.54 % (861861)Success in time 5.129 s
% 35.80/5.54 % Vampire exiting
%------------------------------------------------------------------------------