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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWV916-1 : TPTP v9.3.1. Released v4.1.0.
% 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 01:19:47 PM UTC 2026

% Result   : Unsatisfiable 6.00s 1.82s
% Output   : Refutation 8.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   18 (  14 unt;   0 def)
%            Number of atoms       :   25 (   3 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   21 (  14   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :   13 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   25 (  25 usr;  12 con; 0-6 aty)
%            Number of variables   :   38 (  38   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f452,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X6,X2,X4,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
      | hBOOL(hAPP(hAPP(X4,X5),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(X0,X1,X3,X2,X6,X4)))
      | ~ hBOOL(hAPP(hAPP(X6,X5),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(X0,X1,X3,X2)))
      | c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conseq_1) ).

fof(f457,axiom,
    ! [X2,X3,X0,X1] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
      | hBOOL(hAPP(hAPP(X1,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(X0,X1,X3,X2)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(X0,X1,X3,X2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conseq_0) ).

fof(f461,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X4,X2,X5,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
      | ~ hBOOL(hAPP(hAPP(X3,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(X0,X1,X3,X2)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(X0,X1,X3,X2,X4,X5)))
      | c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conseq_2) ).

fof(f504,negated_conjecture,
    c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f505,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool)),t_a),c_COMBB(tc_Com_Ostate,tc_bool,tc_Com_Ostate)),v_Q),t_a,tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool)),hAPP(c_COMBC(hAPP(c_COMBC(c_Natural_Oupdate,tc_Com_Ostate,tc_Com_Ovname,tc_fun(tc_nat,tc_Com_Ostate)),c_Com_Ovname_OLoc(v_Y)),tc_Com_Ostate,tc_nat,tc_Com_Ostate),c_Natural_Ogetlocs(v_s_H,v_Y))),t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f506,negated_conjecture,
    ! [X2,X0,X1] :
      ( hBOOL(hAPP(hAPP(v_Q,X0),hAPP(hAPP(hAPP(c_Natural_Oupdate,X1),c_Com_Ovname_OLoc(v_Y)),X2)))
      | ~ hBOOL(hAPP(hAPP(v_Q,X0),X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f533,axiom,
    ! [X2,X3,X0,X1,X4,X5] : hAPP(hAPP(c_COMBC(X0,X1,X2,X3),X4),X5) = hAPP(hAPP(X0,X5),X4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_OCOMBC__def_0) ).

fof(f534,axiom,
    ! [X2,X3,X0,X1,X4,X5] : hAPP(hAPP(hAPP(c_COMBB(X0,X1,X2),X3),X4),X5) = hAPP(X3,hAPP(X4,X5)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_OCOMBB__def_0) ).

fof(f535,plain,
    ! [X2,X3,X0,X1,X4,X5] : hAPP(X3,hAPP(X4,X5)) = hAPP(hAPP(hAPP(c_COMBB(X0,X1,X2),X3),X4),X5),
    inference(reorient_equations,[],[f534]) ).

fof(f609,plain,
    ~ hBOOL(hAPP(hAPP(hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool)),t_a),c_COMBB(tc_Com_Ostate,tc_bool,tc_Com_Ostate)),v_Q),t_a,tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool)),hAPP(c_COMBC(hAPP(c_COMBC(c_Natural_Oupdate,tc_Com_Ostate,tc_Com_Ovname,tc_fun(tc_nat,tc_Com_Ostate)),c_Com_Ovname_OLoc(v_Y)),tc_Com_Ostate,tc_nat,tc_Com_Ostate),c_Natural_Ogetlocs(v_s_H,v_Y))),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(v_G,v_P,hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool)),t_a),c_COMBB(tc_Com_Ostate,tc_bool,tc_Com_Ostate)),v_Q),t_a,tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool)),hAPP(c_COMBC(hAPP(c_COMBC(c_Natural_Oupdate,tc_Com_Ostate,tc_Com_Ovname,tc_fun(tc_nat,tc_Com_Ostate)),c_Com_Ovname_OLoc(v_Y)),tc_Com_Ostate,tc_nat,tc_Com_Ostate),c_Natural_Ogetlocs(v_s_H,v_Y))),v_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(v_G,v_P,hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool)),t_a),c_COMBB(tc_Com_Ostate,tc_bool,tc_Com_Ostate)),v_Q),t_a,tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool)),hAPP(c_COMBC(hAPP(c_COMBC(c_Natural_Oupdate,tc_Com_Ostate,tc_Com_Ovname,tc_fun(tc_nat,tc_Com_Ostate)),c_Com_Ovname_OLoc(v_Y)),tc_Com_Ostate,tc_nat,tc_Com_Ostate),c_Natural_Ogetlocs(v_s_H,v_Y))),v_c,v_P,v_Q))),
    inference(unit_resulting_resolution,[],[f461,f505,f504]) ).

fof(f610,plain,
    ~ hBOOL(hAPP(hAPP(hAPP(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool)),t_a),c_COMBB(tc_Com_Ostate,tc_bool,tc_Com_Ostate)),v_Q),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(v_G,v_P,hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool)),t_a),c_COMBB(tc_Com_Ostate,tc_bool,tc_Com_Ostate)),v_Q),t_a,tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool)),hAPP(c_COMBC(hAPP(c_COMBC(c_Natural_Oupdate,tc_Com_Ostate,tc_Com_Ovname,tc_fun(tc_nat,tc_Com_Ostate)),c_Com_Ovname_OLoc(v_Y)),tc_Com_Ostate,tc_nat,tc_Com_Ostate),c_Natural_Ogetlocs(v_s_H,v_Y))),v_c)),hAPP(c_COMBC(hAPP(c_COMBC(c_Natural_Oupdate,tc_Com_Ostate,tc_Com_Ovname,tc_fun(tc_nat,tc_Com_Ostate)),c_Com_Ovname_OLoc(v_Y)),tc_Com_Ostate,tc_nat,tc_Com_Ostate),c_Natural_Ogetlocs(v_s_H,v_Y))),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(v_G,v_P,hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool)),t_a),c_COMBB(tc_Com_Ostate,tc_bool,tc_Com_Ostate)),v_Q),t_a,tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool)),hAPP(c_COMBC(hAPP(c_COMBC(c_Natural_Oupdate,tc_Com_Ostate,tc_Com_Ovname,tc_fun(tc_nat,tc_Com_Ostate)),c_Com_Ovname_OLoc(v_Y)),tc_Com_Ostate,tc_nat,tc_Com_Ostate),c_Natural_Ogetlocs(v_s_H,v_Y))),v_c,v_P,v_Q))),
    inference(forward_demodulation,[],[f609,f533]) ).

fof(f611,plain,
    ~ hBOOL(hAPP(hAPP(hAPP(c_COMBB(tc_Com_Ostate,tc_bool,tc_Com_Ostate),hAPP(v_Q,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(v_G,v_P,hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool)),t_a),c_COMBB(tc_Com_Ostate,tc_bool,tc_Com_Ostate)),v_Q),t_a,tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool)),hAPP(c_COMBC(hAPP(c_COMBC(c_Natural_Oupdate,tc_Com_Ostate,tc_Com_Ovname,tc_fun(tc_nat,tc_Com_Ostate)),c_Com_Ovname_OLoc(v_Y)),tc_Com_Ostate,tc_nat,tc_Com_Ostate),c_Natural_Ogetlocs(v_s_H,v_Y))),v_c))),hAPP(c_COMBC(hAPP(c_COMBC(c_Natural_Oupdate,tc_Com_Ostate,tc_Com_Ovname,tc_fun(tc_nat,tc_Com_Ostate)),c_Com_Ovname_OLoc(v_Y)),tc_Com_Ostate,tc_nat,tc_Com_Ostate),c_Natural_Ogetlocs(v_s_H,v_Y))),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(v_G,v_P,hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool)),t_a),c_COMBB(tc_Com_Ostate,tc_bool,tc_Com_Ostate)),v_Q),t_a,tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool)),hAPP(c_COMBC(hAPP(c_COMBC(c_Natural_Oupdate,tc_Com_Ostate,tc_Com_Ovname,tc_fun(tc_nat,tc_Com_Ostate)),c_Com_Ovname_OLoc(v_Y)),tc_Com_Ostate,tc_nat,tc_Com_Ostate),c_Natural_Ogetlocs(v_s_H,v_Y))),v_c,v_P,v_Q))),
    inference(forward_demodulation,[],[f610,f535]) ).

fof(f612,plain,
    ~ hBOOL(hAPP(hAPP(v_Q,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(v_G,v_P,hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool)),t_a),c_COMBB(tc_Com_Ostate,tc_bool,tc_Com_Ostate)),v_Q),t_a,tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool)),hAPP(c_COMBC(hAPP(c_COMBC(c_Natural_Oupdate,tc_Com_Ostate,tc_Com_Ovname,tc_fun(tc_nat,tc_Com_Ostate)),c_Com_Ovname_OLoc(v_Y)),tc_Com_Ostate,tc_nat,tc_Com_Ostate),c_Natural_Ogetlocs(v_s_H,v_Y))),v_c)),hAPP(hAPP(c_COMBC(hAPP(c_COMBC(c_Natural_Oupdate,tc_Com_Ostate,tc_Com_Ovname,tc_fun(tc_nat,tc_Com_Ostate)),c_Com_Ovname_OLoc(v_Y)),tc_Com_Ostate,tc_nat,tc_Com_Ostate),c_Natural_Ogetlocs(v_s_H,v_Y)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(v_G,v_P,hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool)),t_a),c_COMBB(tc_Com_Ostate,tc_bool,tc_Com_Ostate)),v_Q),t_a,tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool)),hAPP(c_COMBC(hAPP(c_COMBC(c_Natural_Oupdate,tc_Com_Ostate,tc_Com_Ovname,tc_fun(tc_nat,tc_Com_Ostate)),c_Com_Ovname_OLoc(v_Y)),tc_Com_Ostate,tc_nat,tc_Com_Ostate),c_Natural_Ogetlocs(v_s_H,v_Y))),v_c,v_P,v_Q)))),
    inference(forward_demodulation,[],[f611,f535]) ).

fof(f613,plain,
    ~ hBOOL(hAPP(hAPP(v_Q,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(v_G,v_P,hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool)),t_a),c_COMBB(tc_Com_Ostate,tc_bool,tc_Com_Ostate)),v_Q),t_a,tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool)),hAPP(c_COMBC(hAPP(c_COMBC(c_Natural_Oupdate,tc_Com_Ostate,tc_Com_Ovname,tc_fun(tc_nat,tc_Com_Ostate)),c_Com_Ovname_OLoc(v_Y)),tc_Com_Ostate,tc_nat,tc_Com_Ostate),c_Natural_Ogetlocs(v_s_H,v_Y))),v_c)),hAPP(hAPP(hAPP(c_COMBC(c_Natural_Oupdate,tc_Com_Ostate,tc_Com_Ovname,tc_fun(tc_nat,tc_Com_Ostate)),c_Com_Ovname_OLoc(v_Y)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(v_G,v_P,hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool)),t_a),c_COMBB(tc_Com_Ostate,tc_bool,tc_Com_Ostate)),v_Q),t_a,tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool)),hAPP(c_COMBC(hAPP(c_COMBC(c_Natural_Oupdate,tc_Com_Ostate,tc_Com_Ovname,tc_fun(tc_nat,tc_Com_Ostate)),c_Com_Ovname_OLoc(v_Y)),tc_Com_Ostate,tc_nat,tc_Com_Ostate),c_Natural_Ogetlocs(v_s_H,v_Y))),v_c,v_P,v_Q)),c_Natural_Ogetlocs(v_s_H,v_Y)))),
    inference(forward_demodulation,[],[f612,f533]) ).

fof(f614,plain,
    ~ hBOOL(hAPP(hAPP(v_Q,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(v_G,v_P,hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool)),t_a),c_COMBB(tc_Com_Ostate,tc_bool,tc_Com_Ostate)),v_Q),t_a,tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool)),hAPP(c_COMBC(hAPP(c_COMBC(c_Natural_Oupdate,tc_Com_Ostate,tc_Com_Ovname,tc_fun(tc_nat,tc_Com_Ostate)),c_Com_Ovname_OLoc(v_Y)),tc_Com_Ostate,tc_nat,tc_Com_Ostate),c_Natural_Ogetlocs(v_s_H,v_Y))),v_c)),hAPP(hAPP(hAPP(c_Natural_Oupdate,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(v_G,v_P,hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool)),t_a),c_COMBB(tc_Com_Ostate,tc_bool,tc_Com_Ostate)),v_Q),t_a,tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool)),hAPP(c_COMBC(hAPP(c_COMBC(c_Natural_Oupdate,tc_Com_Ostate,tc_Com_Ovname,tc_fun(tc_nat,tc_Com_Ostate)),c_Com_Ovname_OLoc(v_Y)),tc_Com_Ostate,tc_nat,tc_Com_Ostate),c_Natural_Ogetlocs(v_s_H,v_Y))),v_c,v_P,v_Q)),c_Com_Ovname_OLoc(v_Y)),c_Natural_Ogetlocs(v_s_H,v_Y)))),
    inference(forward_demodulation,[],[f613,f533]) ).

fof(f616,plain,
    ~ hBOOL(hAPP(hAPP(v_Q,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(v_G,v_P,hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool)),t_a),c_COMBB(tc_Com_Ostate,tc_bool,tc_Com_Ostate)),v_Q),t_a,tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool)),hAPP(c_COMBC(hAPP(c_COMBC(c_Natural_Oupdate,tc_Com_Ostate,tc_Com_Ovname,tc_fun(tc_nat,tc_Com_Ostate)),c_Com_Ovname_OLoc(v_Y)),tc_Com_Ostate,tc_nat,tc_Com_Ostate),c_Natural_Ogetlocs(v_s_H,v_Y))),v_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(v_G,v_P,hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool)),t_a),c_COMBB(tc_Com_Ostate,tc_bool,tc_Com_Ostate)),v_Q),t_a,tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool)),hAPP(c_COMBC(hAPP(c_COMBC(c_Natural_Oupdate,tc_Com_Ostate,tc_Com_Ovname,tc_fun(tc_nat,tc_Com_Ostate)),c_Com_Ovname_OLoc(v_Y)),tc_Com_Ostate,tc_nat,tc_Com_Ostate),c_Natural_Ogetlocs(v_s_H,v_Y))),v_c,v_P,v_Q))),
    inference(unit_resulting_resolution,[],[f506,f614]) ).

fof(f618,plain,
    ~ hBOOL(hAPP(hAPP(v_P,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(v_G,v_P,hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool)),t_a),c_COMBB(tc_Com_Ostate,tc_bool,tc_Com_Ostate)),v_Q),t_a,tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool)),hAPP(c_COMBC(hAPP(c_COMBC(c_Natural_Oupdate,tc_Com_Ostate,tc_Com_Ovname,tc_fun(tc_nat,tc_Com_Ostate)),c_Com_Ovname_OLoc(v_Y)),tc_Com_Ostate,tc_nat,tc_Com_Ostate),c_Natural_Ogetlocs(v_s_H,v_Y))),v_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(v_G,v_P,hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool)),t_a),c_COMBB(tc_Com_Ostate,tc_bool,tc_Com_Ostate)),v_Q),t_a,tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool)),hAPP(c_COMBC(hAPP(c_COMBC(c_Natural_Oupdate,tc_Com_Ostate,tc_Com_Ovname,tc_fun(tc_nat,tc_Com_Ostate)),c_Com_Ovname_OLoc(v_Y)),tc_Com_Ostate,tc_nat,tc_Com_Ostate),c_Natural_Ogetlocs(v_s_H,v_Y))),v_c))),
    inference(unit_resulting_resolution,[],[f452,f616,f505,f504]) ).

fof(f653,plain,
    $false,
    inference(unit_resulting_resolution,[],[f457,f618,f505]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWV916-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.16  % Computer : n018.cluster.edu
% 0.09/0.16  % Model    : x86_64 x86_64
% 0.09/0.16  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16  % Memory   : 8046.5625MB
% 0.09/0.16  % OS       : Linux 6.8.0-71-generic
% 0.09/0.16  % CPULimit : 300
% 0.09/0.16  % WCLimit  : 300
% 0.09/0.16  % DateTime : Mon Sep 28 12:55:25 UTC 2026
% 0.09/0.16  % CPUTime  : 
% 0.09/0.16  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20  Running first-order theorem proving
% 0.09/0.20  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
% 6.00/1.82  % (3362586)Input is clausal, will run a generic CNF schedule.
% 6.00/1.82  % (3362591)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=1138478341:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.00/1.82  % (3362595)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4133693481:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.00/1.82  % (3362594)lrs+10_1_sil=8000:sp=occurrence:random_seed=2207579441:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.00/1.82  % (3362592)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2649437868:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.00/1.82  % (3362597)dis-21_1_sil=8000:lcm=predicate:random_seed=2601729100:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 6.00/1.82  % (3362593)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2972838082:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.00/1.82  % (3362596)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1069233521:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.00/1.82  % (3362597)Instruction limit reached! 
% 6.00/1.82  % (3362597)------------------------------
% 6.00/1.82  % (3362597)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.82  % (3362597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.82  % (3362597)CaDiCaL version: 2.1.3
% 6.00/1.82  % (3362597)Termination reason: Instruction limit
% 6.00/1.82  % (3362597)Termination phase: Saturation
% 6.00/1.82  % (3362597)Time elapsed: 0.048 s
% 6.00/1.82  % (3362597)Peak memory usage: 88 MB
% 6.00/1.82  % (3362597)Instructions burned: 118 (million)
% 6.00/1.82  % (3362595)Instruction limit reached! 
% 6.00/1.82  % (3362595)------------------------------
% 6.00/1.82  % (3362595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.82  % (3362595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.82  % (3362595)CaDiCaL version: 2.1.3
% 6.00/1.82  % (3362595)Termination reason: Instruction limit
% 6.00/1.82  % (3362595)Termination phase: Saturation
% 6.00/1.82  % (3362595)Time elapsed: 0.052 s
% 6.00/1.82  % (3362595)Peak memory usage: 88 MB
% 6.00/1.82  % (3362595)Instructions burned: 117 (million)
% 6.00/1.82  % (3362594)Instruction limit reached! 
% 6.00/1.82  % (3362594)------------------------------
% 6.00/1.82  % (3362594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.82  % (3362594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.82  % (3362594)CaDiCaL version: 2.1.3
% 6.00/1.82  % (3362594)Termination reason: Instruction limit
% 6.00/1.82  % (3362594)Termination phase: Saturation
% 6.00/1.82  % (3362594)Time elapsed: 0.070 s
% 6.00/1.82  % (3362594)Peak memory usage: 89 MB
% 6.00/1.82  % (3362594)Instructions burned: 107 (million)
% 6.00/1.82  % (3362596)Instruction limit reached! 
% 6.00/1.82  % (3362596)------------------------------
% 6.00/1.82  % (3362596)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.82  % (3362596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.82  % (3362596)CaDiCaL version: 2.1.3
% 6.00/1.82  % (3362596)Termination reason: Instruction limit
% 6.00/1.82  % (3362596)Termination phase: Saturation
% 6.00/1.82  % (3362596)Time elapsed: 0.111 s
% 6.00/1.82  % (3362596)Peak memory usage: 89 MB
% 6.00/1.82  % (3362596)Instructions burned: 180 (million)
% 6.00/1.82  % (3362606)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2405328190:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 6.00/1.82  % (3362605)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1077609673:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.00/1.82  % (3362607)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=679019305:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.00/1.82  % (3362608)lrs+10_64_to=lpo:sil=8000:random_seed=4247887249:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 6.00/1.82  % (3362605)Instruction limit reached! 
% 6.00/1.82  % (3362605)------------------------------
% 6.00/1.82  % (3362605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.82  % (3362605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.82  % (3362605)CaDiCaL version: 2.1.3
% 6.00/1.82  % (3362605)Termination reason: Instruction limit
% 6.00/1.82  % (3362605)Termination phase: Saturation
% 6.00/1.82  % (3362605)Time elapsed: 0.085 s
% 6.00/1.82  % (3362605)Peak memory usage: 89 MB
% 6.00/1.82  % (3362605)Instructions burned: 144 (million)
% 6.00/1.82  % (3362606)Instruction limit reached! 
% 6.00/1.82  % (3362606)------------------------------
% 6.00/1.82  % (3362606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.82  % (3362606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.82  % (3362606)CaDiCaL version: 2.1.3
% 6.00/1.82  % (3362606)Termination reason: Instruction limit
% 6.00/1.82  % (3362606)Termination phase: Saturation
% 6.00/1.82  % (3362606)Time elapsed: 0.104 s
% 6.00/1.82  % (3362606)Peak memory usage: 91 MB
% 6.00/1.82  % (3362606)Instructions burned: 190 (million)
% 6.00/1.82  % (3362607)Instruction limit reached! 
% 6.00/1.82  % (3362607)------------------------------
% 6.00/1.82  % (3362607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.82  % (3362607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.82  % (3362607)CaDiCaL version: 2.1.3
% 6.00/1.82  % (3362607)Termination reason: Instruction limit
% 6.00/1.82  % (3362607)Termination phase: Saturation
% 6.00/1.82  % (3362607)Time elapsed: 0.128 s
% 6.00/1.82  % (3362607)Peak memory usage: 91 MB
% 6.00/1.82  % (3362607)Instructions burned: 219 (million)
% 6.00/1.82  % (3362608)Instruction limit reached! 
% 6.00/1.82  % (3362608)------------------------------
% 6.00/1.82  % (3362608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.82  % (3362608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.82  % (3362608)CaDiCaL version: 2.1.3
% 6.00/1.82  % (3362608)Termination reason: Instruction limit
% 6.00/1.82  % (3362608)Termination phase: Saturation
% 6.00/1.82  % (3362608)Time elapsed: 0.074 s
% 6.00/1.82  % (3362608)Peak memory usage: 90 MB
% 6.00/1.82  % (3362608)Instructions burned: 127 (million)
% 6.00/1.82  % (3362613)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=876443785:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 6.00/1.82  % (3362614)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1031720007:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 6.00/1.82  % (3362615)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3918641114:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 6.00/1.82  % (3362616)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=2609205564:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 6.00/1.82  % (3362616)Instruction limit reached! 
% 6.00/1.82  % (3362616)------------------------------
% 6.00/1.82  % (3362616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.82  % (3362616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.82  % (3362616)CaDiCaL version: 2.1.3
% 6.00/1.82  % (3362616)Termination reason: Instruction limit
% 6.00/1.82  % (3362616)Termination phase: Saturation
% 6.00/1.82  % (3362616)Time elapsed: 0.054 s
% 6.00/1.82  % (3362616)Peak memory usage: 89 MB
% 6.00/1.82  % (3362616)Instructions burned: 106 (million)
% 6.00/1.82  % (3362613)Instruction limit reached! 
% 6.00/1.82  % (3362613)------------------------------
% 6.00/1.82  % (3362613)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.82  % (3362613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.82  % (3362613)CaDiCaL version: 2.1.3
% 6.00/1.82  % (3362613)Termination reason: Instruction limit
% 6.00/1.82  % (3362613)Termination phase: Saturation
% 6.00/1.82  % (3362613)Time elapsed: 0.110 s
% 6.00/1.82  % (3362613)Peak memory usage: 90 MB
% 6.00/1.82  % (3362613)Instructions burned: 195 (million)
% 6.00/1.82  % (3362614)Instruction limit reached! 
% 6.00/1.82  % (3362614)------------------------------
% 6.00/1.82  % (3362614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.82  % (3362614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.82  % (3362614)CaDiCaL version: 2.1.3
% 6.00/1.82  % (3362614)Termination reason: Instruction limit
% 6.00/1.82  % (3362614)Termination phase: Saturation
% 6.00/1.82  % (3362614)Time elapsed: 0.101 s
% 6.00/1.82  % (3362614)Peak memory usage: 91 MB
% 6.00/1.82  % (3362614)Instructions burned: 157 (million)
% 6.00/1.82  % (3362621)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3913140620:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 6.00/1.82  % (3362623)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3710154786:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 6.00/1.82  % (3362622)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1857932110:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 6.00/1.82  % (3362621)Instruction limit reached! 
% 6.00/1.82  % (3362621)------------------------------
% 6.00/1.82  % (3362621)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.82  % (3362621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.82  % (3362621)CaDiCaL version: 2.1.3
% 6.00/1.82  % (3362621)Termination reason: Instruction limit
% 6.00/1.82  % (3362621)Termination phase: Saturation
% 6.00/1.82  % (3362621)Time elapsed: 0.062 s
% 6.00/1.82  % (3362621)Peak memory usage: 90 MB
% 6.00/1.82  % (3362621)Instructions burned: 108 (million)
% 6.00/1.82  % (3362592)First to succeed.
% 6.00/1.82  % (3362592)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3362586"
% 6.00/1.82  % (3362622)Instruction limit reached! 
% 6.00/1.82  % (3362622)------------------------------
% 6.00/1.82  % (3362622)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.82  % (3362622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.82  % (3362622)CaDiCaL version: 2.1.3
% 6.00/1.82  % (3362622)Termination reason: Instruction limit
% 6.00/1.82  % (3362622)Termination phase: Saturation
% 6.00/1.82  % (3362622)Time elapsed: 0.148 s
% 6.00/1.82  % (3362622)Peak memory usage: 90 MB
% 6.00/1.82  % (3362622)Instructions burned: 242 (million)
% 6.00/1.82  % (3362627)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1480492854:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 6.00/1.82  % (3362627)Instruction limit reached! 
% 6.00/1.82  % (3362627)------------------------------
% 6.00/1.82  % (3362627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.82  % (3362627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.82  % (3362627)CaDiCaL version: 2.1.3
% 6.00/1.82  % (3362627)Termination reason: Instruction limit
% 6.00/1.82  % (3362627)Termination phase: Saturation
% 6.00/1.82  % (3362627)Time elapsed: 0.059 s
% 6.00/1.82  % (3362627)Peak memory usage: 89 MB
% 6.00/1.82  % (3362627)Instructions burned: 135 (million)
% 6.00/1.82  % (3362628)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2303651597:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 6.00/1.82  % (3362630)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1053808470:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 6.00/1.82  % (3362592)Refutation found. Thanks to Tanya!
% 6.00/1.82  % SZS status Unsatisfiable for theBenchmark
% 6.00/1.82  % SZS output start Proof for theBenchmark
% See solution above
% 8.77/2.00  % (3362592)------------------------------
% 8.77/2.00  % (3362592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.77/2.00  % (3362592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.00  % (3362592)CaDiCaL version: 2.1.3
% 8.77/2.00  % (3362592)Termination reason: Refutation
% 8.77/2.00  % (3362592)Time elapsed: 0.760 s
% 8.77/2.00  % (3362592)Peak memory usage: 135 MB
% 8.77/2.00  % (3362592)Instructions burned: 1175 (million)
% 8.77/2.00  % (3362592)------------------------------
% 8.77/2.00  % (3362592)------------------------------
% 8.77/2.00  % (3362586)Success in time 1.189 s
% 8.77/2.00  % Vampire exiting
%------------------------------------------------------------------------------