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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ITP018+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 : n004.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 11:35:05 AM UTC 2026

% Result   : Theorem 0.16s 0.51s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   49 (  10 unt;   1 def)
%            Number of atoms       :  119 (  17 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  124 (  54   ~;  49   |;   4   &)
%                                         (   1 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   3 con; 0-2 aty)
%            Number of variables   :   52 (   0 sgn  50   !;   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,
    ! [X0] :
      ( ne(X0)
     => ! [X1] :
          ( ne(X1)
         => ne(ty_2Epair_2Eprod(X0,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ne_ty_2Epair_2Eprod) ).

fof(f15,axiom,
    ! [X0] :
      ( ne(X0)
     => ! [X1] :
          ( ne(X1)
         => mem(c_2Ebinary__ieee_2Efloat__plus__min(X0,X1),arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X0,X1)),ty_2Ebinary__ieee_2Efloat(X0,X1))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Ebinary__ieee_2Efloat__plus__min) ).

fof(f17,axiom,
    ! [X0] :
      ( ne(X0)
     => mem(c_2Ebool_2Ethe__value(X0),ty_2Ebool_2Eitself(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Ebool_2Ethe__value) ).

fof(f25,axiom,
    ! [X0] :
      ( ne(X0)
     => ! [X1] :
          ( ne(X1)
         => ! [X2] :
              ( mem(X2,ty_2Ebinary__ieee_2Efloat(X0,X1))
             => ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),ap(c_2Ebinary__ieee_2Efloat__negate(X0,X1),X2)) = ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),X2)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Ebinary__ieee_2Efloat__to__real__negate) ).

fof(f26,axiom,
    ! [X0] :
      ( ne(X0)
     => ! [X1] :
          ( ne(X1)
         => ap(c_2Ebinary__ieee_2Eulp(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1))) = ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),ap(c_2Ebinary__ieee_2Efloat__plus__min(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1)))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Ebinary__ieee_2Eulp) ).

fof(f29,conjecture,
    ! [X0] :
      ( ne(X0)
     => ! [X1] :
          ( ne(X1)
         => ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1)))) = ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),ap(c_2Ebinary__ieee_2Efloat__negate(X0,X1),ap(c_2Ebinary__ieee_2Efloat__plus__min(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1))))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Ebinary__ieee_2Eneg__ulp) ).

fof(f30,negated_conjecture,
    ~ ! [X0] :
        ( ne(X0)
       => ! [X1] :
            ( ne(X1)
           => ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1)))) = ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),ap(c_2Ebinary__ieee_2Efloat__negate(X0,X1),ap(c_2Ebinary__ieee_2Efloat__plus__min(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1))))) ) ),
    inference(negated_conjecture,[status(cth)],[f29]) ).

fof(f33,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( mem(ap(X2,X3),X1)
          | ~ mem(X3,X0) )
      | ~ mem(X2,arr(X0,X1)) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f42,plain,
    ! [X0] :
      ( ! [X1] :
          ( ne(ty_2Epair_2Eprod(X0,X1))
          | ~ ne(X1) )
      | ~ ne(X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f44,plain,
    ! [X0] :
      ( ! [X1] :
          ( mem(c_2Ebinary__ieee_2Efloat__plus__min(X0,X1),arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X0,X1)),ty_2Ebinary__ieee_2Efloat(X0,X1)))
          | ~ ne(X1) )
      | ~ ne(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f46,plain,
    ! [X0] :
      ( mem(c_2Ebool_2Ethe__value(X0),ty_2Ebool_2Eitself(X0))
      | ~ ne(X0) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f52,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),ap(c_2Ebinary__ieee_2Efloat__negate(X0,X1),X2)) = ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),X2))
              | ~ mem(X2,ty_2Ebinary__ieee_2Efloat(X0,X1)) )
          | ~ ne(X1) )
      | ~ ne(X0) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f53,plain,
    ! [X0] :
      ( ! [X1] :
          ( ap(c_2Ebinary__ieee_2Eulp(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1))) = ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),ap(c_2Ebinary__ieee_2Efloat__plus__min(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1))))
          | ~ ne(X1) )
      | ~ ne(X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f55,plain,
    ? [X0] :
      ( ? [X1] :
          ( ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1)))) != ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),ap(c_2Ebinary__ieee_2Efloat__negate(X0,X1),ap(c_2Ebinary__ieee_2Efloat__plus__min(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1)))))
          & ne(X1) )
      & ne(X0) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f62,plain,
    ( ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(sK2,sK3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK2,sK3)))) != ap(c_2Ebinary__ieee_2Efloat__to__real(sK2,sK3),ap(c_2Ebinary__ieee_2Efloat__negate(sK2,sK3),ap(c_2Ebinary__ieee_2Efloat__plus__min(sK2,sK3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK2,sK3)))))
    & ne(sK3)
    & ne(sK2) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f55]) ).

fof(f66,plain,
    ! [X2,X3,X0,X1] :
      ( ~ mem(X2,arr(X0,X1))
      | ~ mem(X3,X0)
      | mem(ap(X2,X3),X1) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( ne(ty_2Epair_2Eprod(X0,X1))
      | ~ ne(X1)
      | ~ ne(X0) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( mem(c_2Ebinary__ieee_2Efloat__plus__min(X0,X1),arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X0,X1)),ty_2Ebinary__ieee_2Efloat(X0,X1)))
      | ~ ne(X1)
      | ~ ne(X0) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f81,plain,
    ! [X0] :
      ( mem(c_2Ebool_2Ethe__value(X0),ty_2Ebool_2Eitself(X0))
      | ~ ne(X0) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f92,plain,
    ! [X2,X0,X1] :
      ( ~ mem(X2,ty_2Ebinary__ieee_2Efloat(X0,X1))
      | ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),ap(c_2Ebinary__ieee_2Efloat__negate(X0,X1),X2)) = ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),X2))
      | ~ ne(X1)
      | ~ ne(X0) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( ~ ne(X1)
      | ap(c_2Ebinary__ieee_2Eulp(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1))) = ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),ap(c_2Ebinary__ieee_2Efloat__plus__min(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1))))
      | ~ ne(X0) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f95,plain,
    ne(sK2),
    inference(cnf_transformation,[],[f62]) ).

fof(f96,plain,
    ne(sK3),
    inference(cnf_transformation,[],[f62]) ).

fof(f97,plain,
    ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(sK2,sK3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK2,sK3)))) != ap(c_2Ebinary__ieee_2Efloat__to__real(sK2,sK3),ap(c_2Ebinary__ieee_2Efloat__negate(sK2,sK3),ap(c_2Ebinary__ieee_2Efloat__plus__min(sK2,sK3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK2,sK3))))),
    inference(cnf_transformation,[],[f62]) ).

fof(f137,plain,
    ! [X2,X0,X1] :
      ( mem(ap(c_2Ebinary__ieee_2Efloat__plus__min(X1,X0),X2),ty_2Ebinary__ieee_2Efloat(X1,X0))
      | ~ ne(X1)
      | ~ mem(X2,ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X1,X0)))
      | ~ ne(X0) ),
    inference(resolution,[],[f79,f66]) ).

fof(f167,plain,
    ! [X0] :
      ( ~ ne(X0)
      | ap(c_2Ebinary__ieee_2Eulp(X0,sK3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,sK3))) = ap(c_2Ebinary__ieee_2Efloat__to__real(X0,sK3),ap(c_2Ebinary__ieee_2Efloat__plus__min(X0,sK3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,sK3)))) ),
    inference(resolution,[],[f93,f96]) ).

fof(f186,plain,
    ap(c_2Ebinary__ieee_2Eulp(sK2,sK3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK2,sK3))) = ap(c_2Ebinary__ieee_2Efloat__to__real(sK2,sK3),ap(c_2Ebinary__ieee_2Efloat__plus__min(sK2,sK3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK2,sK3)))),
    inference(resolution,[],[f167,f95]) ).

fof(f742,definition,
    ( spl4_17
  <=> mem(ap(c_2Ebinary__ieee_2Efloat__plus__min(sK2,sK3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK2,sK3))),ty_2Ebinary__ieee_2Efloat(sK2,sK3)) ),
    introduced(definition,[new_symbols(definition,[spl4_17])],[avatar_definition]) ).

fof(f743,plain,
    ( mem(ap(c_2Ebinary__ieee_2Efloat__plus__min(sK2,sK3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK2,sK3))),ty_2Ebinary__ieee_2Efloat(sK2,sK3))
    | ~ spl4_17 ),
    inference(avatar_component_clause,[],[f742]) ).

fof(f744,plain,
    ( ~ mem(ap(c_2Ebinary__ieee_2Efloat__plus__min(sK2,sK3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK2,sK3))),ty_2Ebinary__ieee_2Efloat(sK2,sK3))
    | spl4_17 ),
    inference(avatar_component_clause,[],[f742]) ).

fof(f919,plain,
    ( ~ ne(sK2)
    | ~ mem(c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK2,sK3)),ty_2Ebool_2Eitself(ty_2Epair_2Eprod(sK2,sK3)))
    | ~ ne(sK3)
    | spl4_17 ),
    inference(resolution,[],[f744,f137]) ).

fof(f920,plain,
    ( ~ mem(c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK2,sK3)),ty_2Ebool_2Eitself(ty_2Epair_2Eprod(sK2,sK3)))
    | ~ ne(sK3)
    | spl4_17 ),
    inference(forward_subsumption_resolution,[],[f919,f95]) ).

fof(f921,plain,
    ( ~ mem(c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK2,sK3)),ty_2Ebool_2Eitself(ty_2Epair_2Eprod(sK2,sK3)))
    | spl4_17 ),
    inference(forward_subsumption_resolution,[],[f920,f96]) ).

fof(f931,plain,
    ( ~ ne(ty_2Epair_2Eprod(sK2,sK3))
    | spl4_17 ),
    inference(resolution,[],[f921,f81]) ).

fof(f941,plain,
    ( ~ ne(sK3)
    | ~ ne(sK2)
    | spl4_17 ),
    inference(resolution,[],[f931,f77]) ).

fof(f942,plain,
    ( ~ ne(sK2)
    | spl4_17 ),
    inference(forward_subsumption_resolution,[],[f941,f96]) ).

fof(f943,plain,
    ( $false
    | spl4_17 ),
    inference(forward_subsumption_resolution,[],[f942,f95]) ).

fof(f944,plain,
    spl4_17,
    inference(avatar_contradiction_clause,[],[f943]) ).

fof(f965,plain,
    ( ap(c_2Ebinary__ieee_2Efloat__to__real(sK2,sK3),ap(c_2Ebinary__ieee_2Efloat__negate(sK2,sK3),ap(c_2Ebinary__ieee_2Efloat__plus__min(sK2,sK3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK2,sK3))))) = ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(sK2,sK3),ap(c_2Ebinary__ieee_2Efloat__plus__min(sK2,sK3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK2,sK3)))))
    | ~ ne(sK3)
    | ~ ne(sK2)
    | ~ spl4_17 ),
    inference(resolution,[],[f743,f92]) ).

fof(f968,plain,
    ( ap(c_2Ebinary__ieee_2Efloat__to__real(sK2,sK3),ap(c_2Ebinary__ieee_2Efloat__negate(sK2,sK3),ap(c_2Ebinary__ieee_2Efloat__plus__min(sK2,sK3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK2,sK3))))) = ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(sK2,sK3),ap(c_2Ebinary__ieee_2Efloat__plus__min(sK2,sK3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK2,sK3)))))
    | ~ ne(sK2)
    | ~ spl4_17 ),
    inference(forward_subsumption_resolution,[],[f965,f96]) ).

fof(f969,plain,
    ( ap(c_2Ebinary__ieee_2Efloat__to__real(sK2,sK3),ap(c_2Ebinary__ieee_2Efloat__negate(sK2,sK3),ap(c_2Ebinary__ieee_2Efloat__plus__min(sK2,sK3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK2,sK3))))) = ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(sK2,sK3),ap(c_2Ebinary__ieee_2Efloat__plus__min(sK2,sK3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK2,sK3)))))
    | ~ spl4_17 ),
    inference(forward_subsumption_resolution,[],[f968,f95]) ).

fof(f970,plain,
    ( ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(sK2,sK3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK2,sK3)))) = ap(c_2Ebinary__ieee_2Efloat__to__real(sK2,sK3),ap(c_2Ebinary__ieee_2Efloat__negate(sK2,sK3),ap(c_2Ebinary__ieee_2Efloat__plus__min(sK2,sK3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK2,sK3)))))
    | ~ spl4_17 ),
    inference(forward_demodulation,[],[f969,f186]) ).

fof(f971,plain,
    ( $false
    | ~ spl4_17 ),
    inference(forward_subsumption_resolution,[],[f970,f97]) ).

fof(f972,plain,
    ~ spl4_17,
    inference(avatar_contradiction_clause,[],[f971]) ).

cnf(s25,plain,
    spl4_17,
    inference(sat_conversion,[],[f944]) ).

cnf(s26,plain,
    ~ spl4_17,
    inference(sat_conversion,[],[f972]) ).

cnf(s27,plain,
    $false,
    inference(rat,[],[s25,s26]) ).

fof(f973,plain,
    $false,
    inference(avatar_sat_refutation,[],[s27]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : ITP018+2 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40  % Computer : n004.cluster.edu
% 0.12/0.40  % Model    : x86_64 x86_64
% 0.12/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40  % Memory   : 8046.5625MB
% 0.12/0.40  % OS       : Linux 6.8.0-71-generic
% 0.12/0.40  % CPULimit : 300
% 0.12/0.40  % WCLimit  : 300
% 0.12/0.40  % DateTime : Sun Sep 27 12:04:52 UTC 2026
% 0.12/0.40  % CPUTime  : 
% 0.12/0.40  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43  Running first-order model finding
% 0.12/0.43  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
% 0.16/0.51  % (3400156)Will run a generic schedule for satisfiability detection.
% 0.16/0.51  % (3400165)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=768260570:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.51  % (3400162)% WARNING: option uhcvi not known.
% 0.16/0.51  % (3400161)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=928741522_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.51  % (3400163)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2660966801:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.51  % (3400162)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2634704708:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.51  % (3400164)dis+10_1_sil=32000:sp=arity:random_seed=405564710:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.51  % (3400166)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=43552267:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.51  % (3400167)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2630470690:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.51  % TRYING [1]
% 0.16/0.51  % TRYING [2]
% 0.16/0.51  % TRYING [3]
% 0.16/0.51  % (3400165)Instruction limit reached! 
% 0.16/0.51  % (3400165)------------------------------
% 0.16/0.51  % (3400165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.51  % (3400165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.51  % (3400165)CaDiCaL version: 2.1.3
% 0.16/0.51  % (3400165)Termination reason: Instruction limit
% 0.16/0.51  % (3400165)Termination phase: Saturation
% 0.16/0.51  % (3400165)Time elapsed: 0.039 s
% 0.16/0.51  % (3400165)Peak memory usage: 13 MB
% 0.16/0.51  % (3400165)Instructions burned: 117 (million)
% 0.16/0.51  % (3400164) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3400156-3400164"...
% 0.16/0.51  % (3400164)...printing done.
% 0.16/0.51  % (3400164)Refutation found. Thanks to Tanya!
% 0.16/0.51  % SZS status Theorem for theBenchmark
% 0.16/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.52  % (3400164)------------------------------
% 0.16/0.52  % (3400164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.52  % (3400164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.52  % (3400164)CaDiCaL version: 2.1.3
% 0.16/0.52  % (3400164)Termination reason: Refutation
% 0.16/0.52  % (3400164)Time elapsed: 0.033 s
% 0.16/0.52  % (3400164)Peak memory usage: 13 MB
% 0.16/0.52  % (3400164)Instructions burned: 54 (million)
% 0.16/0.52  % (3400156)Success in time 0.073 s
% 0.16/0.52  % Vampire exiting
%------------------------------------------------------------------------------