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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% 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 : n005.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 31.93s 5.03s
% Output   : Refutation 31.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   71 (  30 unt;   5 def)
%            Number of atoms       :  148 (  10 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  141 (  64   ~;  57   |;   5   &)
%                                         (   0 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;  12 con; 0-2 aty)
%            Number of variables   :   56 (  54   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [X0,X1,X2] :
      ( mem(X2,arr(X0,X1))
     => ! [X3] :
          ( mem(X3,X0)
         => mem(ap(X2,X3),X1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP001+2.ax',ap_tp) ).

fof(f13,axiom,
    ne(ty_2Erealax_2Ereal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ne_ty_2Erealax_2Ereal) ).

fof(f15,axiom,
    mem(c_2Ereal__topology_2Eball,arr(ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),arr(ty_2Erealax_2Ereal,bool))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Ereal__topology_2Eball) ).

fof(f17,axiom,
    ! [X0] :
      ( ne(X0)
     => ! [X1] :
          ( ne(X1)
         => 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) ).

fof(f18,axiom,
    mem(c_2Ereal__topology_2Ecball,arr(ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),arr(ty_2Erealax_2Ereal,bool))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Ereal__topology_2Ecball) ).

fof(f46,axiom,
    ! [X0] :
      ( mem(X0,ty_2Erealax_2Ereal)
     => ! [X1] :
          ( mem(X1,ty_2Erealax_2Ereal)
         => p(ap(ap(c_2Epred__set_2ESUBSET(ty_2Erealax_2Ereal),ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X0),X1))),ap(c_2Ereal__topology_2Ecball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X0),X1)))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Ereal__topology_2EBALL__SUBSET__CBALL) ).

fof(f47,axiom,
    ! [X0] :
      ( mem(X0,arr(ty_2Erealax_2Ereal,bool))
     => ! [X1] :
          ( 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) ).

fof(f48,axiom,
    ! [X0] :
      ( mem(X0,ty_2Erealax_2Ereal)
     => ! [X1] :
          ( mem(X1,ty_2Erealax_2Ereal)
         => p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Ecball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X0),X1)))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Ereal__topology_2EBOUNDED__CBALL) ).

fof(f59,conjecture,
    ! [X0] :
      ( mem(X0,ty_2Erealax_2Ereal)
     => ! [X1] :
          ( mem(X1,ty_2Erealax_2Ereal)
         => p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X0),X1)))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Ereal__topology_2EBOUNDED__BALL) ).

fof(f60,negated_conjecture,
    ~ ! [X0] :
        ( mem(X0,ty_2Erealax_2Ereal)
       => ! [X1] :
            ( mem(X1,ty_2Erealax_2Ereal)
           => p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X0),X1)))) ) ),
    inference(negated_conjecture,[status(cth)],[f59]) ).

fof(f79,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( mem(ap(X2,X3),X1)
          | ~ mem(X3,X0) )
      | ~ mem(X2,arr(X0,X1)) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f90,plain,
    ! [X0] :
      ( ! [X1] :
          ( mem(c_2Epair_2E_2C(X0,X1),arr(X0,arr(X1,ty_2Epair_2Eprod(X0,X1))))
          | ~ ne(X1) )
      | ~ ne(X0) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f113,plain,
    ! [X0] :
      ( ! [X1] :
          ( p(ap(ap(c_2Epred__set_2ESUBSET(ty_2Erealax_2Ereal),ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X0),X1))),ap(c_2Ereal__topology_2Ecball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X0),X1))))
          | ~ mem(X1,ty_2Erealax_2Ereal) )
      | ~ mem(X0,ty_2Erealax_2Ereal) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f114,plain,
    ! [X0] :
      ( ! [X1] :
          ( 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,[],[f47]) ).

fof(f115,plain,
    ! [X0] :
      ( ! [X1] :
          ( 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,[],[f114]) ).

fof(f116,plain,
    ! [X0] :
      ( ! [X1] :
          ( p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Ecball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X0),X1))))
          | ~ mem(X1,ty_2Erealax_2Ereal) )
      | ~ mem(X0,ty_2Erealax_2Ereal) ),
    inference(ennf_transformation,[],[f48]) ).

fof(f129,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X0),X1))))
          & mem(X1,ty_2Erealax_2Ereal) )
      & mem(X0,ty_2Erealax_2Ereal) ),
    inference(ennf_transformation,[],[f60]) ).

fof(f228,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),sK21),sK22))))
    & mem(sK22,ty_2Erealax_2Ereal)
    & mem(sK21,ty_2Erealax_2Ereal) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK21,sK22]),skolemize(X0,sK21),skolemize(X1,sK22)],[f129]) ).

fof(f232,plain,
    ! [X2,X3,X0,X1] :
      ( ~ mem(X2,arr(X0,X1))
      | ~ mem(X3,X0)
      | mem(ap(X2,X3),X1) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f245,plain,
    ne(ty_2Erealax_2Ereal),
    inference(cnf_transformation,[],[f13]) ).

fof(f247,plain,
    mem(c_2Ereal__topology_2Eball,arr(ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),arr(ty_2Erealax_2Ereal,bool))),
    inference(cnf_transformation,[],[f15]) ).

fof(f249,plain,
    ! [X0,X1] :
      ( mem(c_2Epair_2E_2C(X0,X1),arr(X0,arr(X1,ty_2Epair_2Eprod(X0,X1))))
      | ~ ne(X1)
      | ~ ne(X0) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f250,plain,
    mem(c_2Ereal__topology_2Ecball,arr(ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),arr(ty_2Erealax_2Ereal,bool))),
    inference(cnf_transformation,[],[f18]) ).

fof(f325,plain,
    ! [X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(ty_2Erealax_2Ereal),ap(c_2Ereal__topology_2Eball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X0),X1))),ap(c_2Ereal__topology_2Ecball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X0),X1))))
      | ~ mem(X1,ty_2Erealax_2Ereal)
      | ~ mem(X0,ty_2Erealax_2Ereal) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f326,plain,
    ! [X0,X1] :
      ( ~ 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,[],[f115]) ).

fof(f327,plain,
    ! [X0,X1] :
      ( p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Ecball,ap(ap(c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),X0),X1))))
      | ~ mem(X1,ty_2Erealax_2Ereal)
      | ~ mem(X0,ty_2Erealax_2Ereal) ),
    inference(cnf_transformation,[],[f116]) ).

fof(f433,plain,
    mem(sK21,ty_2Erealax_2Ereal),
    inference(cnf_transformation,[],[f228]) ).

fof(f434,plain,
    mem(sK22,ty_2Erealax_2Ereal),
    inference(cnf_transformation,[],[f228]) ).

fof(f435,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),sK21),sK22)))),
    inference(cnf_transformation,[],[f228]) ).

fof(f439,definition,
    sF23 = c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal),
    introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).

fof(f440,plain,
    c_2Epair_2E_2C(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal) = sF23,
    inference(reorient_equations,[],[f439]) ).

fof(f441,definition,
    sF24 = ap(sF23,sK21),
    introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).

fof(f442,plain,
    ap(sF23,sK21) = sF24,
    inference(reorient_equations,[],[f441]) ).

fof(f443,definition,
    sF25 = ap(sF24,sK22),
    introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).

fof(f444,plain,
    ap(sF24,sK22) = sF25,
    inference(reorient_equations,[],[f443]) ).

fof(f445,definition,
    sF26 = ap(c_2Ereal__topology_2Eball,sF25),
    introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).

fof(f446,plain,
    ap(c_2Ereal__topology_2Eball,sF25) = sF26,
    inference(reorient_equations,[],[f445]) ).

fof(f447,definition,
    sF27 = ap(c_2Ereal__topology_2Ebounded__def,sF26),
    introduced(definition,[new_symbols(definition,[sF27])],[function_definition]) ).

fof(f448,plain,
    ap(c_2Ereal__topology_2Ebounded__def,sF26) = sF27,
    inference(reorient_equations,[],[f447]) ).

fof(f449,plain,
    ~ p(sF27),
    inference(definition_folding,[],[f435,f448,f446,f444,f442,f440]) ).

fof(f636,plain,
    ! [X0] :
      ( mem(ap(c_2Ereal__topology_2Eball,X0),arr(ty_2Erealax_2Ereal,bool))
      | ~ mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
    inference(resolution,[],[f232,f247]) ).

fof(f637,plain,
    ! [X0] :
      ( mem(ap(c_2Ereal__topology_2Ecball,X0),arr(ty_2Erealax_2Ereal,bool))
      | ~ mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
    inference(resolution,[],[f232,f250]) ).

fof(f683,plain,
    ( ~ mem(sF25,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
    | mem(sF26,arr(ty_2Erealax_2Ereal,bool)) ),
    inference(superposition,[],[f636,f446]) ).

fof(f713,plain,
    ( mem(sF23,arr(ty_2Erealax_2Ereal,arr(ty_2Erealax_2Ereal,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))))
    | ~ ne(ty_2Erealax_2Ereal)
    | ~ ne(ty_2Erealax_2Ereal) ),
    inference(superposition,[],[f249,f440]) ).

fof(f714,plain,
    ( mem(sF23,arr(ty_2Erealax_2Ereal,arr(ty_2Erealax_2Ereal,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))))
    | ~ ne(ty_2Erealax_2Ereal) ),
    inference(duplicate_literal_removal,[],[f713]) ).

fof(f715,plain,
    mem(sF23,arr(ty_2Erealax_2Ereal,arr(ty_2Erealax_2Ereal,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)))),
    inference(forward_subsumption_resolution,[],[f714,f245]) ).

fof(f716,plain,
    ! [X0] :
      ( mem(ap(sF23,X0),arr(ty_2Erealax_2Ereal,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)))
      | ~ mem(X0,ty_2Erealax_2Ereal) ),
    inference(resolution,[],[f715,f232]) ).

fof(f806,plain,
    ! [X0,X1] :
      ( p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Ecball,ap(ap(sF23,X0),X1))))
      | ~ mem(X1,ty_2Erealax_2Ereal)
      | ~ mem(X0,ty_2Erealax_2Ereal) ),
    inference(superposition,[],[f327,f440]) ).

fof(f823,plain,
    ( mem(sF24,arr(ty_2Erealax_2Ereal,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)))
    | ~ mem(sK21,ty_2Erealax_2Ereal) ),
    inference(superposition,[],[f716,f442]) ).

fof(f824,plain,
    mem(sF24,arr(ty_2Erealax_2Ereal,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))),
    inference(forward_subsumption_resolution,[],[f823,f433]) ).

fof(f826,plain,
    ! [X0] :
      ( mem(ap(sF24,X0),ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
      | ~ mem(X0,ty_2Erealax_2Ereal) ),
    inference(resolution,[],[f824,f232]) ).

fof(f832,plain,
    ( mem(sF25,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
    | ~ mem(sK22,ty_2Erealax_2Ereal) ),
    inference(superposition,[],[f826,f444]) ).

fof(f833,plain,
    mem(sF25,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)),
    inference(forward_subsumption_resolution,[],[f832,f434]) ).

fof(f855,plain,
    mem(sF26,arr(ty_2Erealax_2Ereal,bool)),
    inference(resolution,[],[f833,f683]) ).

fof(f979,plain,
    ! [X0,X1] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(ty_2Erealax_2Ereal),ap(c_2Ereal__topology_2Eball,ap(ap(sF23,X0),X1))),ap(c_2Ereal__topology_2Ecball,ap(ap(sF23,X0),X1))))
      | ~ mem(X1,ty_2Erealax_2Ereal)
      | ~ mem(X0,ty_2Erealax_2Ereal) ),
    inference(superposition,[],[f325,f440]) ).

fof(f1163,plain,
    ! [X0] :
      ( p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Ecball,ap(sF24,X0))))
      | ~ mem(X0,ty_2Erealax_2Ereal)
      | ~ mem(sK21,ty_2Erealax_2Ereal) ),
    inference(superposition,[],[f806,f442]) ).

fof(f1164,plain,
    ! [X0] :
      ( p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Ecball,ap(sF24,X0))))
      | ~ mem(X0,ty_2Erealax_2Ereal) ),
    inference(forward_subsumption_resolution,[],[f1163,f433]) ).

fof(f1210,plain,
    ( p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Ecball,sF25)))
    | ~ mem(sK22,ty_2Erealax_2Ereal) ),
    inference(superposition,[],[f1164,f444]) ).

fof(f1211,plain,
    p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Ecball,sF25))),
    inference(forward_subsumption_resolution,[],[f1210,f434]) ).

fof(f1627,plain,
    ! [X0] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(ty_2Erealax_2Ereal),ap(c_2Ereal__topology_2Eball,ap(sF24,X0))),ap(c_2Ereal__topology_2Ecball,ap(sF24,X0))))
      | ~ mem(X0,ty_2Erealax_2Ereal)
      | ~ mem(sK21,ty_2Erealax_2Ereal) ),
    inference(superposition,[],[f979,f442]) ).

fof(f1628,plain,
    ! [X0] :
      ( p(ap(ap(c_2Epred__set_2ESUBSET(ty_2Erealax_2Ereal),ap(c_2Ereal__topology_2Eball,ap(sF24,X0))),ap(c_2Ereal__topology_2Ecball,ap(sF24,X0))))
      | ~ mem(X0,ty_2Erealax_2Ereal) ),
    inference(forward_subsumption_resolution,[],[f1627,f433]) ).

fof(f2003,plain,
    ( p(ap(ap(c_2Epred__set_2ESUBSET(ty_2Erealax_2Ereal),ap(c_2Ereal__topology_2Eball,sF25)),ap(c_2Ereal__topology_2Ecball,sF25)))
    | ~ mem(sK22,ty_2Erealax_2Ereal) ),
    inference(superposition,[],[f1628,f444]) ).

fof(f2004,plain,
    p(ap(ap(c_2Epred__set_2ESUBSET(ty_2Erealax_2Ereal),ap(c_2Ereal__topology_2Eball,sF25)),ap(c_2Ereal__topology_2Ecball,sF25))),
    inference(forward_subsumption_resolution,[],[f2003,f434]) ).

fof(f2005,plain,
    p(ap(ap(c_2Epred__set_2ESUBSET(ty_2Erealax_2Ereal),sF26),ap(c_2Ereal__topology_2Ecball,sF25))),
    inference(forward_demodulation,[],[f2004,f446]) ).

fof(f2006,plain,
    ( ~ p(ap(c_2Ereal__topology_2Ebounded__def,ap(c_2Ereal__topology_2Ecball,sF25)))
    | p(ap(c_2Ereal__topology_2Ebounded__def,sF26))
    | ~ mem(ap(c_2Ereal__topology_2Ecball,sF25),arr(ty_2Erealax_2Ereal,bool))
    | ~ mem(sF26,arr(ty_2Erealax_2Ereal,bool)) ),
    inference(resolution,[],[f2005,f326]) ).

fof(f2007,plain,
    ( p(ap(c_2Ereal__topology_2Ebounded__def,sF26))
    | ~ mem(ap(c_2Ereal__topology_2Ecball,sF25),arr(ty_2Erealax_2Ereal,bool))
    | ~ mem(sF26,arr(ty_2Erealax_2Ereal,bool)) ),
    inference(forward_subsumption_resolution,[],[f2006,f1211]) ).

fof(f2008,plain,
    ( p(ap(c_2Ereal__topology_2Ebounded__def,sF26))
    | ~ mem(ap(c_2Ereal__topology_2Ecball,sF25),arr(ty_2Erealax_2Ereal,bool)) ),
    inference(forward_subsumption_resolution,[],[f2007,f855]) ).

fof(f2009,plain,
    ( p(sF27)
    | ~ mem(ap(c_2Ereal__topology_2Ecball,sF25),arr(ty_2Erealax_2Ereal,bool)) ),
    inference(forward_demodulation,[],[f2008,f448]) ).

fof(f2010,plain,
    ~ mem(ap(c_2Ereal__topology_2Ecball,sF25),arr(ty_2Erealax_2Ereal,bool)),
    inference(forward_subsumption_resolution,[],[f2009,f449]) ).

fof(f2014,plain,
    ~ mem(sF25,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)),
    inference(resolution,[],[f2010,f637]) ).

fof(f2015,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f2014,f833]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : ITP023+2 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.34  % Computer : n005.cluster.edu
% 0.09/0.34  % Model    : x86_64 x86_64
% 0.09/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34  % Memory   : 8046.5625MB
% 0.09/0.34  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Sun Sep 27 12:09:32 UTC 2026
% 0.09/0.35  % CPUTime  : 
% 0.09/0.35  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38  Running first-order model finding
% 0.13/0.38  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
% 14.95/2.53  % (3884942)Will run a generic schedule for satisfiability detection.
% 14.95/2.53  % (3884952)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3525490571:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.95/2.53  % (3884948)% WARNING: option uhcvi not known.
% 14.95/2.53  % (3884947)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2576840113_2999 on theBenchmark for (2999ds/0Mi)
% 14.95/2.53  % (3884948)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2721145195:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.95/2.53  % (3884949)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=52822044:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.95/2.53  % (3884950)dis+10_1_sil=32000:sp=arity:random_seed=223442254:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.95/2.53  % (3884951)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1349454330:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.95/2.53  % (3884953)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1942269049:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.95/2.53  % TRYING [1]
% 14.95/2.53  % TRYING [2]
% 14.95/2.53  % TRYING [3]
% 14.95/2.53  % (3884952)Instruction limit reached! 
% 14.95/2.53  % (3884952)------------------------------
% 14.95/2.53  % (3884952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.95/2.53  % (3884952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.95/2.53  % (3884952)CaDiCaL version: 2.1.3
% 14.95/2.53  % (3884952)Termination reason: Instruction limit
% 14.95/2.53  % (3884952)Termination phase: Saturation
% 14.95/2.53  % (3884952)Time elapsed: 0.038 s
% 14.95/2.53  % (3884952)Peak memory usage: 13 MB
% 14.95/2.53  % (3884952)Instructions burned: 132 (million)
% 14.95/2.53  % TRYING [4]
% 14.95/2.53  % (3884961)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1478751113:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 14.95/2.53  % TRYING [1]
% 14.95/2.53  % TRYING [2]
% 14.95/2.53  % TRYING [3]
% 14.95/2.53  % TRYING [4]
% 14.95/2.53  % TRYING [5]
% 14.95/2.53  % (3884950)Instruction limit reached! 
% 14.95/2.53  % (3884950)------------------------------
% 14.95/2.53  % (3884950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.95/2.53  % (3884950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.95/2.53  % (3884950)CaDiCaL version: 2.1.3
% 14.95/2.53  % (3884950)Termination reason: Instruction limit
% 14.95/2.53  % (3884950)Termination phase: Saturation
% 14.95/2.53  % (3884950)Time elapsed: 0.068 s
% 14.95/2.53  % (3884950)Peak memory usage: 13 MB
% 14.95/2.53  % (3884950)Instructions burned: 104 (million)
% 14.95/2.53  % (3884951)Instruction limit reached! 
% 14.95/2.53  % (3884951)------------------------------
% 14.95/2.53  % (3884951)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.95/2.53  % (3884951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.95/2.53  % (3884951)CaDiCaL version: 2.1.3
% 14.95/2.53  % (3884951)Termination reason: Instruction limit
% 14.95/2.53  % (3884951)Termination phase: Saturation
% 14.95/2.53  % (3884951)Time elapsed: 0.072 s
% 14.95/2.53  % (3884951)Peak memory usage: 13 MB
% 14.95/2.53  % (3884951)Instructions burned: 118 (million)
% 14.95/2.53  % (3884963)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3935717949:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 14.95/2.53  % (3884953)Instruction limit reached! 
% 14.95/2.53  % (3884953)------------------------------
% 14.95/2.53  % (3884953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.95/2.53  % (3884953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.95/2.53  % (3884953)CaDiCaL version: 2.1.3
% 14.95/2.53  % (3884953)Termination reason: Instruction limit
% 14.95/2.53  % (3884953)Termination phase: Saturation
% 14.95/2.53  % (3884953)Time elapsed: 0.091 s
% 14.95/2.53  % (3884953)Peak memory usage: 14 MB
% 14.95/2.53  % (3884953)Instructions burned: 160 (million)
% 14.95/2.53  % (3884964)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=1776372678:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 14.95/2.53  % (3884967)ott-21_1_sil=16000:fs=off:random_seed=1166262903:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.95/2.53  % TRYING [5]
% 14.95/2.53  % (3884963)Instruction limit reached! 
% 14.95/2.53  % (3884963)------------------------------
% 14.95/2.53  % (3884963)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.93/5.03  % (3884963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.93/5.03  % (3884963)CaDiCaL version: 2.1.3
% 31.93/5.03  % (3884963)Termination reason: Instruction limit
% 31.93/5.03  % (3884963)Termination phase: Saturation
% 31.93/5.03  % (3884963)Time elapsed: 0.072 s
% 31.93/5.03  % (3884963)Peak memory usage: 14 MB
% 31.93/5.03  % (3884963)Instructions burned: 131 (million)
% 31.93/5.03  % (3884969)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4154502628:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 31.93/5.03  % (3884967)Instruction limit reached! 
% 31.93/5.03  % (3884967)------------------------------
% 31.93/5.03  % (3884967)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.93/5.03  % (3884967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.93/5.03  % (3884967)CaDiCaL version: 2.1.3
% 31.93/5.03  % (3884967)Termination reason: Instruction limit
% 31.93/5.03  % (3884967)Termination phase: Saturation
% 31.93/5.03  % (3884967)Time elapsed: 0.096 s
% 31.93/5.03  % (3884967)Peak memory usage: 12 MB
% 31.93/5.03  % (3884967)Instructions burned: 182 (million)
% 31.93/5.03  % (3884971)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1053988639:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 31.93/5.03  % (3884961)Instruction limit reached! 
% 31.93/5.03  % (3884961)------------------------------
% 31.93/5.03  % (3884961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.93/5.03  % (3884961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.93/5.03  % (3884961)CaDiCaL version: 2.1.3
% 31.93/5.03  % (3884961)Termination reason: Instruction limit
% 31.93/5.03  % (3884961)Termination phase: Finite model building SAT solving
% 31.93/5.03  % (3884961)Time elapsed: 0.195 s
% 31.93/5.03  % (3884961)Peak memory usage: 23 MB
% 31.93/5.03  % (3884961)Instructions burned: 717 (million)
% 31.93/5.03  % TRYING [1]
% 31.93/5.03  % TRYING [2]
% 31.93/5.03  % (3884973)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=134849074:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 31.93/5.03  % TRYING [3]
% 31.93/5.03  % TRYING [4]
% 31.93/5.03  % TRYING [6]
% 31.93/5.03  % TRYING [5]
% 31.93/5.03  % (3884969)Instruction limit reached! 
% 31.93/5.03  % (3884969)------------------------------
% 31.93/5.03  % (3884969)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.93/5.03  % (3884969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.93/5.03  % (3884969)CaDiCaL version: 2.1.3
% 31.93/5.03  % (3884969)Termination reason: Instruction limit
% 31.93/5.03  % (3884969)Termination phase: Saturation
% 31.93/5.03  % (3884969)Time elapsed: 0.278 s
% 31.93/5.03  % (3884969)Peak memory usage: 14 MB
% 31.93/5.03  % (3884969)Instructions burned: 477 (million)
% 31.93/5.03  % (3884975)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3283344203:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 31.93/5.03  % TRYING [6]
% 31.93/5.03  % (3884964)Instruction limit reached! 
% 31.93/5.03  % (3884964)------------------------------
% 31.93/5.03  % (3884964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.93/5.03  % (3884964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.93/5.03  % (3884964)CaDiCaL version: 2.1.3
% 31.93/5.03  % (3884964)Termination reason: Instruction limit
% 31.93/5.03  % (3884964)Termination phase: Saturation
% 31.93/5.03  % (3884964)Time elapsed: 0.404 s
% 31.93/5.03  % (3884964)Peak memory usage: 21 MB
% 31.93/5.03  % (3884964)Instructions burned: 684 (million)
% 31.93/5.03  % (3884977)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=903697098:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 31.93/5.03  % (3884971)Instruction limit reached! 
% 31.93/5.03  % (3884971)------------------------------
% 31.93/5.03  % (3884971)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.93/5.03  % (3884971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.93/5.03  % (3884971)CaDiCaL version: 2.1.3
% 31.93/5.03  % (3884971)Termination reason: Instruction limit
% 31.93/5.03  % (3884971)Termination phase: Finite model building constraint generation
% 31.93/5.03  % (3884971)Time elapsed: 0.343 s
% 31.93/5.03  % (3884971)Peak memory usage: 25 MB
% 31.93/5.03  % (3884971)Instructions burned: 865 (million)
% 31.93/5.03  % (3884973)Instruction limit reached! 
% 31.93/5.03  % (3884973)------------------------------
% 31.93/5.03  % (3884973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.93/5.03  % (3884973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.93/5.03  % (3884973)CaDiCaL version: 2.1.3
% 31.93/5.03  % (3884973)Termination reason: Instruction limit
% 31.93/5.03  % (3884973)Termination phase: Saturation
% 31.93/5.03  % (3884973)Time elapsed: 0.340 s
% 31.93/5.03  % (3884973)Peak memory usage: 20 MB
% 31.93/5.03  % (3884973)Instructions burned: 1181 (million)
% 31.93/5.03  % (3884979)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=4097824239:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 31.93/5.03  % TRYING [14]
% 31.93/5.03  % (3884980)fmb+10_1_sil=64000:random_seed=1410186678:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 31.93/5.03  % TRYING [1]
% 31.93/5.03  % TRYING [2]
% 31.93/5.03  % TRYING [3]
% 31.93/5.03  % TRYING [4]
% 31.93/5.03  % TRYING [7]
% 31.93/5.03  % TRYING [5]
% 31.93/5.03  % TRYING [6]
% 31.93/5.03  % (3884975)Instruction limit reached! 
% 31.93/5.03  % (3884975)------------------------------
% 31.93/5.03  % (3884975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.93/5.03  % (3884975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.93/5.03  % (3884975)CaDiCaL version: 2.1.3
% 31.93/5.03  % (3884975)Termination reason: Instruction limit
% 31.93/5.03  % (3884975)Termination phase: Finite model building constraint generation
% 31.93/5.03  % (3884975)Time elapsed: 0.339 s
% 31.93/5.03  % (3884975)Peak memory usage: 79 MB
% 31.93/5.03  % (3884975)Instructions burned: 891 (million)
% 31.93/5.03  % (3884983)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=296506853:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 31.93/5.03  % TRYING [20]
% 31.93/5.03  % (3884977)Instruction limit reached! 
% 31.93/5.03  % (3884977)------------------------------
% 31.93/5.03  % (3884977)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.93/5.03  % (3884977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.93/5.03  % (3884977)CaDiCaL version: 2.1.3
% 31.93/5.03  % (3884977)Termination reason: Instruction limit
% 31.93/5.03  % (3884977)Termination phase: Saturation
% 31.93/5.03  % (3884977)Time elapsed: 0.373 s
% 31.93/5.03  % (3884977)Peak memory usage: 25 MB
% 31.93/5.03  % (3884977)Instructions burned: 692 (million)
% 31.93/5.03  % (3884985)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2973191215:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 31.93/5.03  % TRYING [8]
% 31.93/5.03  % TRYING [7]
% 31.93/5.03  % (3884979)Instruction limit reached! 
% 31.93/5.03  % (3884979)------------------------------
% 31.93/5.03  % (3884979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.93/5.03  % (3884979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.93/5.03  % (3884979)CaDiCaL version: 2.1.3
% 31.93/5.03  % (3884979)Termination reason: Instruction limit
% 31.93/5.03  % (3884979)Termination phase: Saturation
% 31.93/5.03  % (3884979)Time elapsed: 0.494 s
% 31.93/5.03  % (3884979)Peak memory usage: 21 MB
% 31.93/5.03  % (3884979)Instructions burned: 880 (million)
% 31.93/5.03  % (3884987)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3698916187:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 31.93/5.03  % (3884985)Instruction limit reached! 
% 31.93/5.03  % (3884985)------------------------------
% 31.93/5.03  % (3884985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.93/5.03  % (3884985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.93/5.03  % (3884985)CaDiCaL version: 2.1.3
% 31.93/5.03  % (3884985)Termination reason: Instruction limit
% 31.93/5.03  % (3884985)Termination phase: Finite model building SAT solving
% 31.93/5.03  % (3884985)Time elapsed: 0.384 s
% 31.93/5.03  % (3884985)Peak memory usage: 62 MB
% 31.93/5.03  % (3884985)Instructions burned: 922 (million)
% 31.93/5.03  % (3884989)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2589691808:i=1472:ins=7:fdi=8:gsp=on_2986 on theBenchmark for (2986ds/1472Mi)
% 31.93/5.03  % TRYING [8]
% 31.93/5.03  % (3884989)Instruction limit reached! 
% 31.93/5.03  % (3884989)------------------------------
% 31.93/5.03  % (3884989)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.93/5.03  % (3884989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.93/5.03  % (3884989)CaDiCaL version: 2.1.3
% 31.93/5.03  % (3884989)Termination reason: Instruction limit
% 31.93/5.03  % (3884989)Termination phase: Saturation
% 31.93/5.03  % (3884989)Time elapsed: 0.763 s
% 31.93/5.03  % (3884989)Peak memory usage: 26 MB
% 31.93/5.03  % (3884989)Instructions burned: 1472 (million)
% 31.93/5.03  % (3884992)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4183953802:i=6324_2978 on theBenchmark for (2978ds/6324Mi)
% 31.93/5.03  % TRYING [77]
% 31.93/5.03  % TRYING [8]
% 31.93/5.03  % (3884987)Instruction limit reached! 
% 31.93/5.03  % (3884987)------------------------------
% 31.93/5.03  % (3884987)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.93/5.03  % (3884987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.93/5.03  % (3884987)CaDiCaL version: 2.1.3
% 31.93/5.03  % (3884987)Termination reason: Instruction limit
% 31.93/5.03  % (3884987)Termination phase: Saturation
% 31.93/5.03  % (3884987)Time elapsed: 2.755 s
% 31.93/5.03  % (3884987)Peak memory usage: 25 MB
% 31.93/5.03  % (3884987)Instructions burned: 5132 (million)
% 31.93/5.03  % (3884994)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2010988418:fmbsr=2.30978:i=2174_2961 on theBenchmark for (2961ds/2174Mi)
% 31.93/5.03  % TRYING [16]
% 31.93/5.03  % (3884983)Instruction limit reached! 
% 31.93/5.03  % (3884983)------------------------------
% 31.93/5.03  % (3884983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.93/5.03  % (3884983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.93/5.03  % (3884983)CaDiCaL version: 2.1.3
% 31.93/5.03  % (3884983)Termination reason: Instruction limit
% 31.93/5.03  % (3884983)Termination phase: Finite model building constraint generation
% 31.93/5.03  % (3884983)Time elapsed: 3.455 s
% 31.93/5.03  % (3884983)Peak memory usage: 614 MB
% 31.93/5.03  % (3884983)Instructions burned: 9516 (million)
% 31.93/5.03  % (3884996)ott-2_1_sil=16000:newcnf=on:random_seed=364657463:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2955 on theBenchmark for (2955ds/869Mi)
% 31.93/5.03  % (3884992)Instruction limit reached! 
% 31.93/5.03  % (3884992)------------------------------
% 31.93/5.03  % (3884992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.93/5.03  % (3884992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.93/5.03  % (3884992)CaDiCaL version: 2.1.3
% 31.93/5.03  % (3884992)Termination reason: Instruction limit
% 31.93/5.03  % (3884992)Termination phase: Finite model building constraint generation
% 31.93/5.03  % (3884992)Time elapsed: 2.344 s
% 31.93/5.03  % (3884992)Peak memory usage: 523 MB
% 31.93/5.03  % (3884992)Instructions burned: 6326 (million)
% 31.93/5.03  % (3884998)ott+10_1_sil=32000:tgt=ground:random_seed=1347169664:i=5114:av=off_2954 on theBenchmark for (2954ds/5114Mi)
% 31.93/5.03  % (3884998) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3884942-3884998"...
% 31.93/5.03  % (3884998)...printing done.
% 31.93/5.03  % (3884998)Refutation found. Thanks to Tanya!
% 31.93/5.03  % SZS status Theorem for theBenchmark
% 31.93/5.03  % SZS output start Proof for theBenchmark
% See solution above
% 31.93/5.04  % (3884998)------------------------------
% 31.93/5.04  % (3884998)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.93/5.04  % (3884998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.93/5.04  % (3884998)CaDiCaL version: 2.1.3
% 31.93/5.04  % (3884998)Termination reason: Refutation
% 31.93/5.04  % (3884998)Time elapsed: 0.057 s
% 31.93/5.04  % (3884998)Peak memory usage: 13 MB
% 31.93/5.04  % (3884998)Instructions burned: 92 (million)
% 31.93/5.04  % (3884942)Success in time 4.645 s
% 31.93/5.04  % Vampire exiting
%------------------------------------------------------------------------------