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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---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 THM

% Computer : n002.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 11:28:23 AM UTC 2026

% Result   : Theorem 2.67s 1.30s
% Output   : Refutation 2.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   40 (   8 unt;   0 def)
%            Number of atoms       :  101 (  15 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  120 (  59   ~;  41   |;   4   &)
%                                         (   0 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   3 con; 0-2 aty)
%            Number of variables   :   49 (  47   !;   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/theBenchmark.p',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(f32,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(f36,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( mem(ap(X2,X3),X1)
          | ~ mem(X3,X0) )
      | ~ mem(X2,arr(X0,X1)) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f37,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(f39,plain,
    ! [X0] :
      ( ! [X1] :
          ( ne(ty_2Epair_2Eprod(X0,X1))
          | ~ ne(X1) )
      | ~ ne(X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f40,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(f41,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(f43,plain,
    ! [X0] :
      ( mem(c_2Ebool_2Ethe__value(X0),ty_2Ebool_2Eitself(X0))
      | ~ ne(X0) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f48,plain,
    ( ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1)))) != ap(c_2Ebinary__ieee_2Efloat__to__real(sK0,sK1),ap(c_2Ebinary__ieee_2Efloat__negate(sK0,sK1),ap(c_2Ebinary__ieee_2Efloat__plus__min(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1)))))
    & ne(sK1)
    & ne(sK0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f32]) ).

fof(f50,plain,
    ne(sK0),
    inference(cnf_transformation,[],[f48]) ).

fof(f51,plain,
    ne(sK1),
    inference(cnf_transformation,[],[f48]) ).

fof(f52,plain,
    ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1)))) != ap(c_2Ebinary__ieee_2Efloat__to__real(sK0,sK1),ap(c_2Ebinary__ieee_2Efloat__negate(sK0,sK1),ap(c_2Ebinary__ieee_2Efloat__plus__min(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1))))),
    inference(cnf_transformation,[],[f48]) ).

fof(f56,plain,
    ! [X2,X3,X0,X1] :
      ( mem(ap(X2,X3),X1)
      | ~ mem(X3,X0)
      | ~ mem(X2,arr(X0,X1)) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f57,plain,
    ! [X2,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))
      | ~ mem(X2,ty_2Ebinary__ieee_2Efloat(X0,X1))
      | ~ ne(X1)
      | ~ ne(X0) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( ne(ty_2Epair_2Eprod(X0,X1))
      | ~ ne(X1)
      | ~ ne(X0) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f61,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(cnf_transformation,[],[f40]) ).

fof(f62,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,[],[f41]) ).

fof(f64,plain,
    ! [X0] :
      ( mem(c_2Ebool_2Ethe__value(X0),ty_2Ebool_2Eitself(X0))
      | ~ ne(X0) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f73,plain,
    ( ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1)))) != ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(sK0,sK1),ap(c_2Ebinary__ieee_2Efloat__plus__min(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1)))))
    | ~ mem(ap(c_2Ebinary__ieee_2Efloat__plus__min(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1))),ty_2Ebinary__ieee_2Efloat(sK0,sK1))
    | ~ ne(sK1)
    | ~ ne(sK0) ),
    inference(superposition,[],[f52,f57]) ).

fof(f75,plain,
    ( ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1)))) != ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(sK0,sK1),ap(c_2Ebinary__ieee_2Efloat__plus__min(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1)))))
    | ~ mem(ap(c_2Ebinary__ieee_2Efloat__plus__min(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1))),ty_2Ebinary__ieee_2Efloat(sK0,sK1))
    | ~ ne(sK0) ),
    inference(forward_subsumption_resolution,[],[f73,f51]) ).

fof(f76,plain,
    ( ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1)))) != ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(sK0,sK1),ap(c_2Ebinary__ieee_2Efloat__plus__min(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1)))))
    | ~ mem(ap(c_2Ebinary__ieee_2Efloat__plus__min(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1))),ty_2Ebinary__ieee_2Efloat(sK0,sK1)) ),
    inference(forward_subsumption_resolution,[],[f75,f50]) ).

fof(f77,plain,
    ( ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1)))) != ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1))))
    | ~ mem(ap(c_2Ebinary__ieee_2Efloat__plus__min(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1))),ty_2Ebinary__ieee_2Efloat(sK0,sK1))
    | ~ ne(sK1)
    | ~ ne(sK0) ),
    inference(superposition,[],[f76,f61]) ).

fof(f78,plain,
    ( ~ mem(ap(c_2Ebinary__ieee_2Efloat__plus__min(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1))),ty_2Ebinary__ieee_2Efloat(sK0,sK1))
    | ~ ne(sK1)
    | ~ ne(sK0) ),
    inference(trivial_inequality_removal,[],[f77]) ).

fof(f79,plain,
    ( ~ mem(ap(c_2Ebinary__ieee_2Efloat__plus__min(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1))),ty_2Ebinary__ieee_2Efloat(sK0,sK1))
    | ~ ne(sK0) ),
    inference(forward_subsumption_resolution,[],[f78,f51]) ).

fof(f80,plain,
    ~ mem(ap(c_2Ebinary__ieee_2Efloat__plus__min(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1))),ty_2Ebinary__ieee_2Efloat(sK0,sK1)),
    inference(forward_subsumption_resolution,[],[f79,f50]) ).

fof(f81,plain,
    ! [X0] :
      ( ~ mem(c_2Ebinary__ieee_2Efloat__plus__min(sK0,sK1),arr(X0,ty_2Ebinary__ieee_2Efloat(sK0,sK1)))
      | ~ mem(c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1)),X0) ),
    inference(resolution,[],[f80,f56]) ).

fof(f82,plain,
    ( ~ mem(c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1)),ty_2Ebool_2Eitself(ty_2Epair_2Eprod(sK0,sK1)))
    | ~ ne(sK1)
    | ~ ne(sK0) ),
    inference(resolution,[],[f81,f62]) ).

fof(f83,plain,
    ( ~ mem(c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1)),ty_2Ebool_2Eitself(ty_2Epair_2Eprod(sK0,sK1)))
    | ~ ne(sK0) ),
    inference(forward_subsumption_resolution,[],[f82,f51]) ).

fof(f84,plain,
    ~ mem(c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1)),ty_2Ebool_2Eitself(ty_2Epair_2Eprod(sK0,sK1))),
    inference(forward_subsumption_resolution,[],[f83,f50]) ).

fof(f89,plain,
    ~ ne(ty_2Epair_2Eprod(sK0,sK1)),
    inference(resolution,[],[f84,f64]) ).

fof(f90,plain,
    ( ~ ne(sK1)
    | ~ ne(sK0) ),
    inference(resolution,[],[f89,f60]) ).

fof(f91,plain,
    ~ ne(sK0),
    inference(forward_subsumption_resolution,[],[f90,f51]) ).

fof(f92,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f91,f50]) ).

%------------------------------------------------------------------------------
%----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 THM
% 0.09/0.38  % Computer : n002.cluster.edu
% 0.09/0.38  % Model    : x86_64 x86_64
% 0.09/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38  % Memory   : 8046.5625MB
% 0.09/0.38  % OS       : Linux 6.8.0-71-generic
% 0.09/0.38  % CPULimit : 300
% 0.09/0.38  % WCLimit  : 300
% 0.09/0.38  % DateTime : Sun Sep 27 12:07:37 UTC 2026
% 0.09/0.38  % CPUTime  : 
% 0.09/0.38  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.42  Running first-order theorem proving
% 0.09/0.42  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.67/1.30  % (3418410)Detected formulas, will run a generic FOF schedule.
% 2.67/1.30  % (3418416)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1725898408:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.67/1.30  % (3418419)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1260003114:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.67/1.30  % (3418417)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=470693323:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.67/1.30  % (3418415)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3262856141:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.67/1.30  % (3418421)dis-21_1_sil=8000:lcm=predicate:random_seed=1462871737:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.67/1.30  % (3418418)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3778411942:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.67/1.30  % (3418420)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2984560085:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.67/1.30  % (3418418)Refutation not found, incomplete strategy
% 2.67/1.30  % (3418418)------------------------------
% 2.67/1.30  % (3418418)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.67/1.30  % (3418418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/1.30  % (3418418)CaDiCaL version: 2.1.3
% 2.67/1.30  % (3418418)Termination reason: Refutation not found, incomplete strategy
% 2.67/1.30  % (3418418)Time elapsed: 0.002 s
% 2.67/1.30  % (3418418)Peak memory usage: 88 MB
% 2.67/1.30  % (3418418)Instructions burned: 2 (million)
% 2.67/1.30  % (3418419)First to succeed.
% 2.67/1.30  % (3418419)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3418410"
% 2.67/1.30  % (3418420)Also succeeded, but the first one will report.
% 2.67/1.30  % (3418421)Instruction limit reached! 
% 2.67/1.30  % (3418421)------------------------------
% 2.67/1.30  % (3418421)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.67/1.30  % (3418421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/1.30  % (3418421)CaDiCaL version: 2.1.3
% 2.67/1.30  % (3418421)Termination reason: Instruction limit
% 2.67/1.30  % (3418421)Termination phase: Saturation
% 2.67/1.30  % (3418421)Time elapsed: 0.067 s
% 2.67/1.30  % (3418421)Peak memory usage: 89 MB
% 2.67/1.30  % (3418421)Instructions burned: 131 (million)
% 2.67/1.30  % (3418429)lrs+10_1_sil=8000:sp=occurrence:random_seed=2442198206:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.67/1.30  % (3418429)Also succeeded, but the first one will report.
% 2.67/1.30  % (3418418)------------------------------
% 2.67/1.30  % (3418418)------------------------------
% 2.67/1.30  % (3418419)Refutation found. Thanks to Tanya!
% 2.67/1.30  % SZS status Theorem for theBenchmark
% 2.67/1.30  % SZS output start Proof for theBenchmark
% See solution above
% 2.67/1.39  % (3418419)------------------------------
% 2.67/1.39  % (3418419)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.67/1.39  % (3418419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/1.39  % (3418419)CaDiCaL version: 2.1.3
% 2.67/1.39  % (3418419)Termination reason: Refutation
% 2.67/1.39  % (3418419)Time elapsed: 0.004 s
% 2.67/1.39  % (3418419)Peak memory usage: 88 MB
% 2.67/1.39  % (3418419)Instructions burned: 4 (million)
% 2.67/1.39  % (3418419)------------------------------
% 2.67/1.39  % (3418419)------------------------------
% 2.67/1.39  % (3418410)Success in time 0.438 s
% 2.67/1.39  % Vampire exiting
%------------------------------------------------------------------------------