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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWW395+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 : n018.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 1.74s 1.57s
% Output   : Refutation 4.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   32 (  17 unt;   0 def)
%            Number of atoms       :   63 (   8 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   61 (  30   ~;  19   |;   6   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :   15 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   23 (  23 usr;  11 con; 0-3 aty)
%            Number of variables   :   83 (  76   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f71,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(f5223,axiom,
    ! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBB(X5,X4,X3),X2),X1),X0) = hAPP(X2,hAPP(X1,X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__COMBB__1) ).

fof(f5225,axiom,
    ! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X5,X4,X3),X2),X1),X0) = hAPP(hAPP(X2,X0),hAPP(X1,X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__COMBS__1) ).

fof(f5227,axiom,
    ! [X0,X1] :
      ( X1 != X0
      | hBOOL(hAPP(hAPP(c_fequal,X1),X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__fequal__2) ).

fof(f5232,axiom,
    ! [X0,X1] :
      ( ~ hBOOL(X1)
      | ~ hBOOL(X0)
      | hBOOL(hAPP(hAPP(c_fconj,X1),X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__fconj__1) ).

fof(f5241,axiom,
    ! [X0] : 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),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj),hAPP(c_fequal,X0)))),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/sandbox/benchmark/theBenchmark.p',conj_0) ).

fof(f5242,conjecture,
    ! [X0,X1] :
      ( hBOOL(hAPP(hAPP(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)),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)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).

fof(f5243,negated_conjecture,
    ~ ! [X0,X1] :
        ( hBOOL(hAPP(hAPP(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)),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)) ) ) ),
    inference(negated_conjecture,[status(cth)],[f5242]) ).

fof(f5247,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))
              & ! [X5] :
                  ( hBOOL(hAPP(hAPP(X3,X5),X4))
                  | ~ hBOOL(hAPP(hAPP(X2,X5),X1)) ) ) )
      & hBOOL(hAPP(hAPP(v_P,X0),X1)) ),
    inference(ennf_transformation,[],[f5243]) ).

fof(f5314,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)))
          & ! [X5] :
              ( hBOOL(hAPP(hAPP(X3,X5),sK3(X2,X3)))
              | ~ hBOOL(hAPP(hAPP(X2,X5),sK2)) ) ) )
    & hBOOL(hAPP(hAPP(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))],[f5247]) ).

fof(f5359,plain,
    ! [X0] : 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),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj),hAPP(c_fequal,X0)))),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,[],[f5241]) ).

fof(f5360,plain,
    hBOOL(hAPP(hAPP(v_P,sK1),sK2)),
    inference(cnf_transformation,[],[f5314]) ).

fof(f5361,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,[],[f5314]) ).

fof(f5362,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,[],[f5314]) ).

fof(f5486,plain,
    ! [X2,X3,X0,X1,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X5,X4,X3),X2),X1),X0) = hAPP(hAPP(X2,X0),hAPP(X1,X0)),
    inference(cnf_transformation,[],[f5225]) ).

fof(f5487,plain,
    ! [X2,X3,X0,X1,X4,X5] : hAPP(X2,hAPP(X1,X0)) = hAPP(hAPP(hAPP(c_COMBB(X5,X4,X3),X2),X1),X0),
    inference(cnf_transformation,[],[f5223]) ).

fof(f5488,plain,
    ! [X0,X1] :
      ( X0 != X1
      | hBOOL(hAPP(hAPP(c_fequal,X1),X0)) ),
    inference(cnf_transformation,[],[f5227]) ).

fof(f5492,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,[],[f71]) ).

fof(f5497,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(hAPP(c_fconj,X1),X0))
      | ~ hBOOL(X0)
      | ~ hBOOL(X1) ),
    inference(cnf_transformation,[],[f5232]) ).

fof(f5542,plain,
    ! [X1] : hBOOL(hAPP(hAPP(c_fequal,X1),X1)),
    inference(equality_resolution,[],[f5488]) ).

fof(f5548,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),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(forward_demodulation,[],[f5361,f5492]) ).

fof(f5549,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),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(forward_demodulation,[],[f5362,f5492]) ).

fof(f5550,plain,
    ! [X0] : 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),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj),hAPP(c_fequal,X0)))),v_P)),v_c),v_Q)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
    inference(forward_demodulation,[],[f5359,f5492]) ).

fof(f5557,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(hAPP(v_Q,X0),sK3(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj),hAPP(c_fequal,X1)))),v_P),v_Q)))
      | ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj),hAPP(c_fequal,X1)))),v_P),X0),sK2)) ),
    inference(resolution,[],[f5550,f5548]) ).

fof(f5558,plain,
    ! [X0] : ~ hBOOL(hAPP(hAPP(v_Q,sK1),sK3(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj),hAPP(c_fequal,X0)))),v_P),v_Q))),
    inference(resolution,[],[f5550,f5549]) ).

fof(f5562,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(hAPP(v_Q,X0),sK3(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj),hAPP(c_fequal,X1)))),v_P),v_Q)))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj),hAPP(c_fequal,X1))),hAPP(v_P,X0)),sK2)) ),
    inference(forward_demodulation,[],[f5557,f5487]) ).

fof(f5572,plain,
    ! [X0] : ~ hBOOL(hAPP(hAPP(hAPP(c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj),hAPP(c_fequal,X0))),hAPP(v_P,sK1)),sK2)),
    inference(resolution,[],[f5562,f5558]) ).

fof(f5579,plain,
    ! [X0] : ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj),hAPP(c_fequal,X0)),sK2),hAPP(hAPP(v_P,sK1),sK2))),
    inference(superposition,[],[f5572,f5486]) ).

fof(f5580,plain,
    ! [X0] : ~ hBOOL(hAPP(hAPP(c_fconj,hAPP(hAPP(c_fequal,X0),sK2)),hAPP(hAPP(v_P,sK1),sK2))),
    inference(forward_demodulation,[],[f5579,f5487]) ).

fof(f5591,plain,
    ! [X0] :
      ( ~ hBOOL(hAPP(hAPP(v_P,sK1),sK2))
      | ~ hBOOL(hAPP(hAPP(c_fequal,X0),sK2)) ),
    inference(resolution,[],[f5580,f5497]) ).

fof(f5593,plain,
    ! [X0] : ~ hBOOL(hAPP(hAPP(c_fequal,X0),sK2)),
    inference(forward_subsumption_resolution,[],[f5591,f5360]) ).

fof(f5605,plain,
    $false,
    inference(resolution,[],[f5593,f5542]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWW395+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20  % Computer : n018.cluster.edu
% 0.09/0.20  % Model    : x86_64 x86_64
% 0.09/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20  % Memory   : 8046.5625MB
% 0.09/0.20  % OS       : Linux 6.8.0-71-generic
% 0.09/0.20  % CPULimit : 300
% 0.09/0.20  % WCLimit  : 300
% 0.09/0.20  % DateTime : Mon Sep 28 13:51:42 UTC 2026
% 0.09/0.20  % CPUTime  : 
% 0.09/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24  Running first-order theorem proving
% 0.09/0.24  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
% 1.74/1.57  % (3393365)Detected formulas, will run a generic FOF schedule.
% 1.74/1.57  % (3393370)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=1970764695:i=141193_2995 on theBenchmark for (2995ds/141193Mi)
% 1.74/1.57  % (3393373)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1871204355:i=109:sd=1:ins=1:gsp=on:ss=axioms_2995 on theBenchmark for (2995ds/109Mi)
% 1.74/1.57  % (3393374)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4038135185:i=119:av=off:ss=axioms_2995 on theBenchmark for (2995ds/119Mi)
% 1.74/1.57  % (3393376)dis-21_1_sil=8000:lcm=predicate:random_seed=1504909045: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)
% 1.74/1.57  % (3393372)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=2528890066:i=141695:sd=1:nm=32:gsp=on:ss=included_2995 on theBenchmark for (2995ds/141695Mi)
% 1.74/1.57  % (3393371)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=3491307603:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2995 on theBenchmark for (2995ds/134677Mi)
% 1.74/1.57  % (3393375)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1010398455:s2a=on:i=139:gtg=position_2995 on theBenchmark for (2995ds/139Mi)
% 1.74/1.57  % (3393373)First to succeed.
% 1.74/1.57  % (3393373)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3393365"
% 1.74/1.57  % (3393375)Instruction limit reached! 
% 1.74/1.57  % (3393375)------------------------------
% 1.74/1.57  % (3393375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.74/1.57  % (3393375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/1.57  % (3393375)CaDiCaL version: 2.1.3
% 1.74/1.57  % (3393375)Termination reason: Instruction limit
% 1.74/1.57  % (3393375)Termination phase: SInE selection
% 1.74/1.57  % (3393375)Time elapsed: 0.058 s
% 1.74/1.57  % (3393375)Peak memory usage: 90 MB
% 1.74/1.57  % (3393375)Instructions burned: 140 (million)
% 1.74/1.57  % (3393374)Instruction limit reached! 
% 1.74/1.57  % (3393374)------------------------------
% 1.74/1.57  % (3393374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.74/1.57  % (3393374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/1.57  % (3393374)CaDiCaL version: 2.1.3
% 1.74/1.57  % (3393374)Termination reason: Instruction limit
% 1.74/1.57  % (3393374)Termination phase: Function definition elimination
% 1.74/1.57  % (3393374)Time elapsed: 0.068 s
% 1.74/1.57  % (3393374)Peak memory usage: 92 MB
% 1.74/1.57  % (3393374)Instructions burned: 120 (million)
% 1.74/1.57  % (3393376)Instruction limit reached! 
% 1.74/1.57  % (3393376)------------------------------
% 1.74/1.57  % (3393376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.74/1.57  % (3393376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/1.57  % (3393376)CaDiCaL version: 2.1.3
% 1.74/1.57  % (3393376)Termination reason: Instruction limit
% 1.74/1.57  % (3393376)Termination phase: Preprocessing 3
% 1.74/1.57  % (3393376)Time elapsed: 0.082 s
% 1.74/1.57  % (3393376)Peak memory usage: 93 MB
% 1.74/1.57  % (3393376)Instructions burned: 130 (million)
% 1.74/1.57  % (3393384)lrs+10_1_sil=8000:sp=occurrence:random_seed=1321942273:i=285:sd=3:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/285Mi)
% 1.74/1.57  % (3393386)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3663850672:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 1.74/1.57  % (3393385)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4096381501:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/157Mi)
% 1.74/1.57  % (3393373)Refutation found. Thanks to Tanya!
% 1.74/1.57  % SZS status Theorem for theBenchmark
% 1.74/1.57  % SZS output start Proof for theBenchmark
% See solution above
% 4.45/1.79  % (3393373)------------------------------
% 4.45/1.79  % (3393373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.45/1.79  % (3393373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.79  % (3393373)CaDiCaL version: 2.1.3
% 4.45/1.79  % (3393373)Termination reason: Refutation
% 4.45/1.79  % (3393373)Time elapsed: 0.053 s
% 4.45/1.79  % (3393373)Peak memory usage: 95 MB
% 4.45/1.79  % (3393373)Instructions burned: 81 (million)
% 4.45/1.79  % (3393373)------------------------------
% 4.45/1.79  % (3393373)------------------------------
% 4.45/1.79  % (3393365)Success in time 0.883 s
% 4.45/1.79  % Vampire exiting
%------------------------------------------------------------------------------