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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWW391+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n016.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 01:30:15 PM UTC 2026

% Result   : Theorem 1.26s 1.38s
% Output   : Refutation 3.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   38 (  14 unt;   2 def)
%            Number of atoms       :   90 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   91 (  39   ~;  30   |;  13   &)
%                                         (   2 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-3 aty)
%            Number of functors    :   17 (  17 usr;  10 con; 0-2 aty)
%            Number of variables   :   54 (   0 sgn  44   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7,axiom,
    ! [X0,X1,X2,X3] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),X1),X0))
     => ( c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool))))
        & c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_derivs__insertD) ).

fof(f5228,axiom,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),v_c),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

fof(f5229,axiom,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P_H),v_c),v_Q_H)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).

fof(f5230,conjecture,
    ! [X0,X1] :
      ( ( hBOOL(hAPP(hAPP(v_P,X0),X1))
        | hBOOL(hAPP(hAPP(v_P_H,X0),X1)) )
     => ? [X2,X3] :
          ( c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),v_c),X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
          & ! [X4] :
              ( ! [X5] :
                  ( hBOOL(hAPP(hAPP(X2,X5),X1))
                 => hBOOL(hAPP(hAPP(X3,X5),X4)) )
             => ( hBOOL(hAPP(hAPP(v_Q,X0),X4))
                | hBOOL(hAPP(hAPP(v_Q_H,X0),X4)) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2) ).

fof(f5231,negated_conjecture,
    ~ ! [X0,X1] :
        ( ( hBOOL(hAPP(hAPP(v_P,X0),X1))
          | hBOOL(hAPP(hAPP(v_P_H,X0),X1)) )
       => ? [X2,X3] :
            ( c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),v_c),X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
            & ! [X4] :
                ( ! [X5] :
                    ( hBOOL(hAPP(hAPP(X2,X5),X1))
                   => hBOOL(hAPP(hAPP(X3,X5),X4)) )
               => ( hBOOL(hAPP(hAPP(v_Q,X0),X4))
                  | hBOOL(hAPP(hAPP(v_Q_H,X0),X4)) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f5230]) ).

fof(f5232,plain,
    ? [X0,X1] :
      ( ! [X2,X3] :
          ( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),v_c),X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
          | ? [X4] :
              ( ~ hBOOL(hAPP(hAPP(v_Q,X0),X4))
              & ~ hBOOL(hAPP(hAPP(v_Q_H,X0),X4))
              & ! [X5] :
                  ( hBOOL(hAPP(hAPP(X3,X5),X4))
                  | ~ hBOOL(hAPP(hAPP(X2,X5),X1)) ) ) )
      & ( hBOOL(hAPP(hAPP(v_P,X0),X1))
        | hBOOL(hAPP(hAPP(v_P_H,X0),X1)) ) ),
    inference(ennf_transformation,[],[f5231]) ).

fof(f5233,plain,
    ? [X0,X1] :
      ( ! [X2,X3] :
          ( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),v_c),X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
          | ? [X4] :
              ( ~ hBOOL(hAPP(hAPP(v_Q,X0),X4))
              & ~ hBOOL(hAPP(hAPP(v_Q_H,X0),X4))
              & ! [X5] :
                  ( hBOOL(hAPP(hAPP(X3,X5),X4))
                  | ~ hBOOL(hAPP(hAPP(X2,X5),X1)) ) ) )
      & ( hBOOL(hAPP(hAPP(v_P,X0),X1))
        | hBOOL(hAPP(hAPP(v_P_H,X0),X1)) ) ),
    inference(flattening,[],[f5232]) ).

fof(f5239,plain,
    ! [X0,X1,X2,X3] :
      ( ( c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool))))
        & c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X0) )
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),X1),X0)) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f5286,plain,
    ( ! [X2,X3] :
        ( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),v_c),X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
        | ( ~ hBOOL(hAPP(hAPP(v_Q,sK1),sK3(X2,X3)))
          & ~ hBOOL(hAPP(hAPP(v_Q_H,sK1),sK3(X2,X3)))
          & ! [X5] :
              ( hBOOL(hAPP(hAPP(X3,X5),sK3(X2,X3)))
              | ~ hBOOL(hAPP(hAPP(X2,X5),sK2)) ) ) )
    & ( hBOOL(hAPP(hAPP(v_P,sK1),sK2))
      | hBOOL(hAPP(hAPP(v_P_H,sK1),sK2)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X4,sK3(X2,X3))],[f5233]) ).

fof(f5326,plain,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),v_c),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
    inference(cnf_transformation,[],[f5228]) ).

fof(f5327,plain,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P_H),v_c),v_Q_H)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
    inference(cnf_transformation,[],[f5229]) ).

fof(f5328,plain,
    ( hBOOL(hAPP(hAPP(v_P,sK1),sK2))
    | hBOOL(hAPP(hAPP(v_P_H,sK1),sK2)) ),
    inference(cnf_transformation,[],[f5286]) ).

fof(f5329,plain,
    ! [X2,X3,X5] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),v_c),X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
      | hBOOL(hAPP(hAPP(X3,X5),sK3(X2,X3)))
      | ~ hBOOL(hAPP(hAPP(X2,X5),sK2)) ),
    inference(cnf_transformation,[],[f5286]) ).

fof(f5330,plain,
    ! [X2,X3] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),v_c),X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
      | ~ hBOOL(hAPP(hAPP(v_Q_H,sK1),sK3(X2,X3))) ),
    inference(cnf_transformation,[],[f5286]) ).

fof(f5331,plain,
    ! [X2,X3] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),v_c),X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
      | ~ hBOOL(hAPP(hAPP(v_Q,sK1),sK3(X2,X3))) ),
    inference(cnf_transformation,[],[f5286]) ).

fof(f5336,plain,
    ! [X2,X3,X0,X1] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool))))
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),X1),X0)) ),
    inference(cnf_transformation,[],[f5239]) ).

fof(f5480,definition,
    ( spl24_1
  <=> hBOOL(hAPP(hAPP(v_P_H,sK1),sK2)) ),
    introduced(definition,[new_symbols(definition,[spl24_1])],[avatar_definition]) ).

fof(f5482,plain,
    ( hBOOL(hAPP(hAPP(v_P_H,sK1),sK2))
    | ~ spl24_1 ),
    inference(avatar_component_clause,[],[f5480]) ).

fof(f5484,definition,
    ( spl24_2
  <=> hBOOL(hAPP(hAPP(v_P,sK1),sK2)) ),
    introduced(definition,[new_symbols(definition,[spl24_2])],[avatar_definition]) ).

fof(f5486,plain,
    ( hBOOL(hAPP(hAPP(v_P,sK1),sK2))
    | ~ spl24_2 ),
    inference(avatar_component_clause,[],[f5484]) ).

fof(f5487,plain,
    ( spl24_1
    | spl24_2 ),
    inference(avatar_split_clause,[],[f5328,f5484,f5480]) ).

fof(f5489,plain,
    ! [X2,X0,X1] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X0),v_c),X1)),X2))
      | ~ hBOOL(hAPP(hAPP(v_Q_H,sK1),sK3(X0,X1))) ),
    inference(resolution,[],[f5330,f5336]) ).

fof(f5491,plain,
    ! [X2,X0,X1] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X0),v_c),X1)),X2))
      | ~ hBOOL(hAPP(hAPP(v_Q,sK1),sK3(X0,X1))) ),
    inference(resolution,[],[f5331,f5336]) ).

fof(f5513,plain,
    ! [X0] :
      ( hBOOL(hAPP(hAPP(v_Q,X0),sK3(v_P,v_Q)))
      | ~ hBOOL(hAPP(hAPP(v_P,X0),sK2)) ),
    inference(resolution,[],[f5326,f5329]) ).

fof(f5516,plain,
    ~ hBOOL(hAPP(hAPP(v_Q,sK1),sK3(v_P,v_Q))),
    inference(resolution,[],[f5326,f5491]) ).

fof(f5530,plain,
    ! [X0] :
      ( hBOOL(hAPP(hAPP(v_Q_H,X0),sK3(v_P_H,v_Q_H)))
      | ~ hBOOL(hAPP(hAPP(v_P_H,X0),sK2)) ),
    inference(resolution,[],[f5327,f5329]) ).

fof(f5534,plain,
    ~ hBOOL(hAPP(hAPP(v_Q_H,sK1),sK3(v_P_H,v_Q_H))),
    inference(resolution,[],[f5327,f5489]) ).

fof(f5546,plain,
    ~ hBOOL(hAPP(hAPP(v_P,sK1),sK2)),
    inference(resolution,[],[f5513,f5516]) ).

fof(f5556,plain,
    ( $false
    | ~ spl24_2 ),
    inference(forward_subsumption_resolution,[],[f5546,f5486]) ).

fof(f5557,plain,
    ~ spl24_2,
    inference(avatar_contradiction_clause,[],[f5556]) ).

fof(f5648,plain,
    ~ hBOOL(hAPP(hAPP(v_P_H,sK1),sK2)),
    inference(resolution,[],[f5534,f5530]) ).

fof(f5650,plain,
    ( $false
    | ~ spl24_1 ),
    inference(forward_subsumption_resolution,[],[f5648,f5482]) ).

fof(f5651,plain,
    ~ spl24_1,
    inference(avatar_contradiction_clause,[],[f5650]) ).

cnf(s1,plain,
    ( spl24_1
    | spl24_2 ),
    inference(sat_conversion,[],[f5487]) ).

cnf(s3,plain,
    ~ spl24_2,
    inference(sat_conversion,[],[f5557]) ).

cnf(s5,plain,
    ~ spl24_1,
    inference(sat_conversion,[],[f5651]) ).

cnf(s6,plain,
    $false,
    inference(rat,[],[s1,s3,s5]) ).

fof(f5652,plain,
    $false,
    inference(avatar_sat_refutation,[],[s6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWW391+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19  % Computer : n016.cluster.edu
% 0.08/0.19  % Model    : x86_64 x86_64
% 0.08/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19  % Memory   : 8046.5625MB
% 0.08/0.19  % OS       : Linux 6.8.0-71-generic
% 0.08/0.19  % CPULimit : 300
% 0.08/0.19  % WCLimit  : 300
% 0.08/0.19  % DateTime : Mon Sep 28 13:50:33 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22  Running first-order theorem proving
% 0.08/0.22  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
% 1.26/1.38  % (3633282)Detected formulas, will run a generic FOF schedule.
% 1.26/1.38  % (3633290)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3957845690:i=109:sd=1:ins=1:gsp=on:ss=axioms_2995 on theBenchmark for (2995ds/109Mi)
% 1.26/1.38  % (3633290)First to succeed.
% 1.26/1.38  % (3633290)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3633282"
% 1.26/1.38  % (3633289)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=3745770703:i=141695:sd=1:nm=32:gsp=on:ss=included_2995 on theBenchmark for (2995ds/141695Mi)
% 1.26/1.38  % (3633288)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=2726212188:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2995 on theBenchmark for (2995ds/134677Mi)
% 1.26/1.38  % (3633292)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3867178407:s2a=on:i=139:gtg=position_2995 on theBenchmark for (2995ds/139Mi)
% 1.26/1.38  % (3633293)dis-21_1_sil=8000:lcm=predicate:random_seed=3571672827:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2995 on theBenchmark for (2995ds/129Mi)
% 1.26/1.38  % (3633291)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1365739286:i=119:av=off:ss=axioms_2995 on theBenchmark for (2995ds/119Mi)
% 1.26/1.38  % (3633287)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=1022318831:i=141193_2995 on theBenchmark for (2995ds/141193Mi)
% 1.26/1.38  % (3633292)Instruction limit reached! 
% 1.26/1.38  % (3633292)------------------------------
% 1.26/1.38  % (3633292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.26/1.38  % (3633292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/1.38  % (3633292)CaDiCaL version: 2.1.3
% 1.26/1.38  % (3633292)Termination reason: Instruction limit
% 1.26/1.38  % (3633292)Termination phase: SInE selection
% 1.26/1.38  % (3633292)Time elapsed: 0.057 s
% 1.26/1.38  % (3633292)Peak memory usage: 90 MB
% 1.26/1.38  % (3633292)Instructions burned: 140 (million)
% 1.26/1.38  % (3633291)Instruction limit reached! 
% 1.26/1.38  % (3633291)------------------------------
% 1.26/1.38  % (3633291)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.26/1.38  % (3633291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/1.38  % (3633291)CaDiCaL version: 2.1.3
% 1.26/1.38  % (3633291)Termination reason: Instruction limit
% 1.26/1.38  % (3633291)Termination phase: Saturation
% 1.26/1.38  % (3633291)Time elapsed: 0.067 s
% 1.26/1.38  % (3633291)Peak memory usage: 93 MB
% 1.26/1.38  % (3633291)Instructions burned: 119 (million)
% 1.26/1.38  % (3633293)Instruction limit reached! 
% 1.26/1.38  % (3633293)------------------------------
% 1.26/1.38  % (3633293)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.26/1.38  % (3633293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/1.38  % (3633293)CaDiCaL version: 2.1.3
% 1.26/1.38  % (3633293)Termination reason: Instruction limit
% 1.26/1.38  % (3633293)Termination phase: Preprocessing 3
% 1.26/1.38  % (3633293)Time elapsed: 0.082 s
% 1.26/1.38  % (3633293)Peak memory usage: 93 MB
% 1.26/1.38  % (3633293)Instructions burned: 130 (million)
% 1.26/1.38  % (3633290)Refutation found. Thanks to Tanya!
% 1.26/1.38  % SZS status Theorem for theBenchmark
% 1.26/1.38  % SZS output start Proof for theBenchmark
% See solution above
% 3.12/1.48  % (3633290)------------------------------
% 3.12/1.48  % (3633290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.12/1.48  % (3633290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/1.48  % (3633290)CaDiCaL version: 2.1.3
% 3.12/1.48  % (3633290)Termination reason: Refutation
% 3.12/1.48  % (3633290)Time elapsed: 0.026 s
% 3.12/1.48  % (3633290)Peak memory usage: 95 MB
% 3.12/1.48  % (3633290)Instructions burned: 65 (million)
% 3.12/1.48  % (3633290)------------------------------
% 3.12/1.48  % (3633290)------------------------------
% 3.12/1.48  % (3633282)Success in time 0.712 s
% 3.12/1.48  % Vampire exiting
%------------------------------------------------------------------------------