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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWW306+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n020.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 01:30:04 PM UTC 2026

% Result   : Theorem 3.14s 1.04s
% Output   : Refutation 3.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   31 (  10 unt;   0 def)
%            Number of atoms       :   70 (   8 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   75 (  36   ~;  26   |;   6   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   20 (  20 usr;   8 con; 0-4 aty)
%            Number of variables   :   83 (  76   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f464,axiom,
    ! [X0,X1,X2] : hAPP(hAPP(c_Set_Oinsert(X2),X1),X0) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool)),hAPP(c_Set_OCollect(X2),hAPP(hAPP(c_COMBC(X2,X2,tc_HOL_Obool),c_fequal),X1))),X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_insert__def) ).

fof(f5210,axiom,
    ! [X0,X1,X2,X3] : hAPP(hAPP(c_COMBK(X3,X2),X1),X0) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__COMBK__1) ).

fof(f5212,axiom,
    ! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBC(X5,X4,X3),X2),X1),X0) = hAPP(hAPP(X2,X0),X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__COMBC__1) ).

fof(f5215,axiom,
    ! [X0,X1] :
      ( X1 != X0
      | hBOOL(hAPP(hAPP(c_fequal,X1),X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__fequal__2) ).

fof(f5229,axiom,
    ! [X0,X1] :
      ( v_P(X0,X1)
     => c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),X1)),v_c,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(X0)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

fof(f5230,conjecture,
    ! [X0,X1] :
      ( v_P(X0,X1)
     => ? [X2,X3] :
          ( c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),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(v_Q(X0),X4)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).

fof(f5231,negated_conjecture,
    ~ ! [X0,X1] :
        ( v_P(X0,X1)
       => ? [X2,X3] :
            ( c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),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(v_Q(X0),X4)) ) ) ),
    inference(negated_conjecture,[status(cth)],[f5230]) ).

fof(f5233,plain,
    ! [X0,X1] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),X1)),v_c,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(X0)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
      | ~ v_P(X0,X1) ),
    inference(ennf_transformation,[],[f5229]) ).

fof(f5234,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)),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(v_Q(X0),X4))
              & ! [X5] :
                  ( hBOOL(hAPP(hAPP(X3,X5),X4))
                  | ~ hBOOL(hAPP(hAPP(X2,X5),X1)) ) ) )
      & v_P(X0,X1) ),
    inference(ennf_transformation,[],[f5231]) ).

fof(f5289,plain,
    ( ! [X2,X3] :
        ( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),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(v_Q(sK1),sK3(X2,X3)))
          & ! [X5] :
              ( hBOOL(hAPP(hAPP(X3,X5),sK3(X2,X3)))
              | ~ hBOOL(hAPP(hAPP(X2,X5),sK2)) ) ) )
    & v_P(sK1,sK2) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X4,sK3(X2,X3))],[f5234]) ).

fof(f5336,plain,
    ! [X0,X1] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),X1)),v_c,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(X0)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
      | ~ v_P(X0,X1) ),
    inference(cnf_transformation,[],[f5233]) ).

fof(f5337,plain,
    v_P(sK1,sK2),
    inference(cnf_transformation,[],[f5289]) ).

fof(f5338,plain,
    ! [X2,X3,X5] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),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,[],[f5289]) ).

fof(f5339,plain,
    ! [X2,X3] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),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(v_Q(sK1),sK3(X2,X3))) ),
    inference(cnf_transformation,[],[f5289]) ).

fof(f5460,plain,
    ! [X2,X3,X0,X1,X4,X5] : hAPP(hAPP(X2,X0),X1) = hAPP(hAPP(hAPP(c_COMBC(X5,X4,X3),X2),X1),X0),
    inference(cnf_transformation,[],[f5212]) ).

fof(f5473,plain,
    ! [X0,X1] :
      ( X0 != X1
      | hBOOL(hAPP(hAPP(c_fequal,X1),X0)) ),
    inference(cnf_transformation,[],[f5215]) ).

fof(f5476,plain,
    ! [X2,X0,X1] : hAPP(hAPP(c_Set_Oinsert(X2),X1),X0) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool)),hAPP(c_Set_OCollect(X2),hAPP(hAPP(c_COMBC(X2,X2,tc_HOL_Obool),c_fequal),X1))),X0),
    inference(cnf_transformation,[],[f464]) ).

fof(f5481,plain,
    ! [X2,X3,X0,X1] : hAPP(hAPP(c_COMBK(X3,X2),X1),X0) = X1,
    inference(cnf_transformation,[],[f5210]) ).

fof(f5513,plain,
    ! [X1] : hBOOL(hAPP(hAPP(c_fequal,X1),X1)),
    inference(equality_resolution,[],[f5473]) ).

fof(f5526,plain,
    ! [X2,X3,X5] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),hAPP(c_Set_OCollect(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBC(tc_Hoare__Mirabelle_Otriple(t_a),tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool),c_fequal),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(forward_demodulation,[],[f5338,f5476]) ).

fof(f5527,plain,
    ! [X2,X3] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),hAPP(c_Set_OCollect(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBC(tc_Hoare__Mirabelle_Otriple(t_a),tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool),c_fequal),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(v_Q(sK1),sK3(X2,X3))) ),
    inference(forward_demodulation,[],[f5339,f5476]) ).

fof(f5528,plain,
    ! [X0,X1] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),hAPP(c_Set_OCollect(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBC(tc_Hoare__Mirabelle_Otriple(t_a),tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool),c_fequal),c_Hoare__Mirabelle_Otriple_Otriple(t_a,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),X1)),v_c,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(X0)))))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
      | ~ v_P(X0,X1) ),
    inference(forward_demodulation,[],[f5336,f5476]) ).

fof(f5551,plain,
    ! [X2,X0,X1] :
      ( ~ v_P(X0,X1)
      | hBOOL(hAPP(hAPP(hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(X0)),X2),sK3(hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),X1)),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(X0)))))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),X1)),X2),sK2)) ),
    inference(resolution,[],[f5528,f5526]) ).

fof(f5552,plain,
    ! [X0,X1] :
      ( ~ hBOOL(hAPP(v_Q(sK1),sK3(hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),X1)),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(X0)))))
      | ~ v_P(X0,X1) ),
    inference(resolution,[],[f5528,f5527]) ).

fof(f5557,plain,
    ! [X2,X0,X1] :
      ( hBOOL(hAPP(v_Q(X0),sK3(hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),X1)),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(X0)))))
      | ~ v_P(X0,X1)
      | ~ hBOOL(hAPP(hAPP(hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),X1)),X2),sK2)) ),
    inference(forward_demodulation,[],[f5551,f5481]) ).

fof(f5558,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(v_Q(X0),sK3(hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),X1)),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(X0)))))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),X1),sK2))
      | ~ v_P(X0,X1) ),
    inference(forward_demodulation,[],[f5557,f5481]) ).

fof(f5560,plain,
    ! [X0] :
      ( ~ hBOOL(hAPP(hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),X0),sK2))
      | ~ v_P(sK1,X0)
      | ~ v_P(sK1,X0) ),
    inference(resolution,[],[f5558,f5552]) ).

fof(f5562,plain,
    ! [X0] :
      ( ~ hBOOL(hAPP(hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),X0),sK2))
      | ~ v_P(sK1,X0) ),
    inference(duplicate_literal_removal,[],[f5560]) ).

fof(f5564,plain,
    ! [X0] :
      ( ~ hBOOL(hAPP(hAPP(c_fequal,sK2),X0))
      | ~ v_P(sK1,X0) ),
    inference(superposition,[],[f5562,f5460]) ).

fof(f5583,plain,
    ~ v_P(sK1,sK2),
    inference(resolution,[],[f5564,f5513]) ).

fof(f5587,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f5583,f5337]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWW306+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.18  % Computer : n020.cluster.edu
% 0.10/0.18  % Model    : x86_64 x86_64
% 0.10/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18  % Memory   : 8046.5625MB
% 0.10/0.18  % OS       : Linux 6.8.0-71-generic
% 0.10/0.18  % CPULimit : 300
% 0.10/0.18  % WCLimit  : 300
% 0.10/0.18  % DateTime : Mon Sep 28 13:32:34 UTC 2026
% 0.10/0.18  % CPUTime  : 
% 0.10/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.21  Running first-order theorem proving
% 0.10/0.22  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.14/1.04  % (163172)Detected formulas, will run a generic FOF schedule.
% 3.14/1.04  % (163183)dis-21_1_sil=8000:lcm=predicate:random_seed=1490549688:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 3.14/1.04  % (163180)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3279931116:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 3.14/1.04  % (163178)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=397035750:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 3.14/1.04  % (163182)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1086814918:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 3.14/1.04  % (163177)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=3193662714:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 3.14/1.04  % (163181)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=949562898:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 3.14/1.04  % (163179)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=1959159850:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 3.14/1.04  % (163180)First to succeed.
% 3.14/1.04  % (163180)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-163172"
% 3.14/1.04  % (163182)Instruction limit reached! 
% 3.14/1.04  % (163182)------------------------------
% 3.14/1.04  % (163182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.14/1.04  % (163182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/1.04  % (163182)CaDiCaL version: 2.1.3
% 3.14/1.04  % (163182)Termination reason: Instruction limit
% 3.14/1.04  % (163182)Termination phase: SInE selection
% 3.14/1.04  % (163182)Time elapsed: 0.057 s
% 3.14/1.04  % (163182)Peak memory usage: 90 MB
% 3.14/1.04  % (163182)Instructions burned: 140 (million)
% 3.14/1.04  % (163181)Instruction limit reached! 
% 3.14/1.04  % (163181)------------------------------
% 3.14/1.04  % (163181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.14/1.04  % (163181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/1.04  % (163181)CaDiCaL version: 2.1.3
% 3.14/1.04  % (163181)Termination reason: Instruction limit
% 3.14/1.04  % (163181)Termination phase: Property scanning
% 3.14/1.04  % (163181)Time elapsed: 0.065 s
% 3.14/1.04  % (163181)Peak memory usage: 92 MB
% 3.14/1.04  % (163181)Instructions burned: 120 (million)
% 3.14/1.04  % (163183)Instruction limit reached! 
% 3.14/1.04  % (163183)------------------------------
% 3.14/1.04  % (163183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.14/1.04  % (163183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/1.04  % (163183)CaDiCaL version: 2.1.3
% 3.14/1.04  % (163183)Termination reason: Instruction limit
% 3.14/1.04  % (163183)Termination phase: Preprocessing 3
% 3.14/1.04  % (163183)Time elapsed: 0.081 s
% 3.14/1.04  % (163183)Peak memory usage: 93 MB
% 3.14/1.04  % (163183)Instructions burned: 130 (million)
% 3.14/1.04  % (163191)lrs+10_1_sil=8000:sp=occurrence:random_seed=2804045153:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 3.14/1.04  % (163192)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2337094946:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 3.14/1.04  % (163193)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2780875028:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 3.14/1.04  % (163192)Instruction limit reached! 
% 3.14/1.04  % (163192)------------------------------
% 3.14/1.04  % (163192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.14/1.04  % (163192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/1.04  % (163192)CaDiCaL version: 2.1.3
% 3.14/1.04  % (163192)Termination reason: Instruction limit
% 3.14/1.04  % (163192)Termination phase: Property scanning
% 3.14/1.04  % (163192)Time elapsed: 0.070 s
% 3.14/1.04  % (163192)Peak memory usage: 92 MB
% 3.14/1.04  % (163192)Instructions burned: 158 (million)
% 3.14/1.04  % (163180)Refutation found. Thanks to Tanya!
% 3.14/1.04  % SZS status Theorem for theBenchmark
% 3.14/1.04  % SZS output start Proof for theBenchmark
% See solution above
% 3.85/1.24  % (163180)------------------------------
% 3.85/1.24  % (163180)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.24  % (163180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.24  % (163180)CaDiCaL version: 2.1.3
% 3.85/1.24  % (163180)Termination reason: Refutation
% 3.85/1.24  % (163180)Time elapsed: 0.045 s
% 3.85/1.24  % (163180)Peak memory usage: 94 MB
% 3.85/1.24  % (163180)Instructions burned: 70 (million)
% 3.85/1.24  % (163180)------------------------------
% 3.85/1.24  % (163180)------------------------------
% 3.85/1.24  % (163172)Success in time 0.629 s
% 3.85/1.24  % Vampire exiting
%------------------------------------------------------------------------------